ii Find Your Way to Succeed Insights for Learning College Math and Other STEM Subjects Designed to Accompany Way to Succeed® Mindful Insights for Learning Dr. Jane Frazier Reed © Way to Succeed®, LLC iii Find Your Way to Succeed: Insights for Learning College Math and Other STEM Subjects By Jane Frazier Reed, Ed.D. waytosucceed.com © 2022 All rights reserved. No portion of this book may be reproduced in any form without permission from the publisher, except as permitted by U.S. copyright law. For permissions contact: jane.reed@waytosucceed.com Cover by Stockphoto.com iv Dedicated to students everywhere who did not finish college, believing in the false notion that they were not as smart as other students simply because they were not aware of effective learning practices. May this guide eliminate this kind of thinking and improve success for all students who want to learn. v TABLE OF CONTENTS NOTE TO THE STUDENT: ................................................................................................... VII FOREWORD .................................................................................................................... VIII CHAPTER 1: LEARNING HOW TO LEARN--YOUR BEST ADVANTAGE FOR SUCCESS ................. 1 PURPOSE: Discover that your approach to learning can determine your success more than any other factor 1 Assignment 1: Quiz: Learning How to Learn .................................................................................................... 4 CHAPTER 2: ASSESSING YOUR LEARNING PRACTICES--A BASELINE ....................................... 6 PURPOSE: Evaluate your current learning practices and analyze your personal strengths and weaknesses .... 6 Assignment 2: Way to Succeed® Assessment 1 ................................................................................................ 9 CHAPTER 3: YOUR APPROACH MAKES ALL THE DIFFERENCE! HOW COLLEGE IS DIFFERENT FROM HIGH SCHOOL ........................................................................................................ 10 PURPOSE: Understand how learning and being successful in college is different from learning and being successful in high school ................................................................................................................................. 10 Assignment 3: Quiz: How College is Different from High School ................................................................... 16 CHAPTER 4: ANXIETY IN MATH AND OTHER STEM COURSES AND HOW TO OVERCOME IT. . 18 PURPOSE 1: Understand why you might be anxious about your math or other STEM class………………..……..19 PURPOSE 2: How to reduce your anxiety ....................................................................................................... 18 Top 10 Reasons students have Math Anxiety with Solutions ....................................................................... 19 Assignment 4: Quiz—Matching Causes and Solutions for Math and STEM Anxiety....................................... 26 CHAPTER 5: ASSESSING YOUR LEARNING PRACTICES, PART 2--CHECKING ON PROGRESS .... 28 PURPOSE: Re-evaluate current learning practices to document changes in strengths and weaknesses ........ 28 Assignment Chapter 5: Way to Succeed® Assessment 2 ................................................................................ 30 CHAPTER 6: NOTE-TAKING 101 AND IMPROVING TEST SCORES IN STEM ............................ 31 PURPOSE 1: Understand how to develop quality note-taking skills .............................................................. 31 PURPOSE 2: Know how to prepare effectively for tests ............................................................................... 31 Before the Test: ........................................................................................................................................... 31 Taking Notes 101: ........................................................................................................................................ 32 Studying Before the Test ............................................................................................................................. 37 During the Test: ........................................................................................................................................... 39 Assignment 6: Quiz: Taking Notes, Studying, and Taking Tests ...................................................................... 41 vi CHAPTER 7: ERROR ANALYSIS--EVALUATING EACH TEST YIELDS BETTER UNDERSTANDING .. 44 PURPOSE: Recognize the value of analyzing mistakes to improve learning and academic achievement ...... 44 Assignment Chapter 7: Error Analysis ............................................................................................................. 50 CHAPTER 8: ASSESSING YOUR LEARNING PRACTICES, PART 3--YOU'VE COME A LONG WAY. 52 PURPOSE: Re-evaluate current learning practices to document changes in strengths and weaknesses ....... 52 Assignment Chapter 8: Way to Succeed® Assessment 3 ................................................................................ 54 CHAPTER 9: FINISHING STRONG--PREPARING FOR YOUR FINAL EXAMS.............................. 55 PURPOSE: Understand how to best approach studying for comprehensive final exams ............................... 55 Assignment 9: Quiz—Matching Ideas for Preparing for Final Exams with Examples ..................................... 60 CHAPTER 10: ON THE PATH TO SUCCESS--LESSONS LEARNED ............................................ 61 PURPOSE 1: Reflect on changes you have made to your learning practices .................................................. 61 PURPOSE 2: Evaluate the Way to Succeed® program. ................................................................................... 61 Assignment Chapter 10: Final Evaluation of Your Learning Improvements and the Way to Succeed© Learning Program............................................................................................................................................ 63 GLOSSARY ........................................................................................................................ 66 vii Note to the student: When you purchased this eBook, you should have registered your name, a user name, password, and the “Class Code” provided to you by your instructor. If you have not completed this process, please take the following steps: 1. Register by clicking HERE. 2. Type in your name and create a username and password. 3. Enter the “Class Code” • Your instructor should have given you a specific “Class Code” for use with your current Mathematics or other STEM class. • The “Class Code” is specific to your course and section for the class in which you are enrolled. • The “Class Code” will automatically register you in your instructor’s gradebook. • You must use his or her “Class Code” to receive course credit for this portion of your class. 4. Once you are in the system, you will use your username and password to access all quizzes, assessments, and surveys that enhance your learning experience. 5. If you are using this book as an independent student, you should have received a “Class Code” directly from Way to Succeed®. 6. If you are still experiencing trouble, use this link to contact us. viii Foreword Researchers in the field of Cognitive Psychology have produced thousands of articles and books on learning theory and the studies of metacognition, motivation, self-regulation, and academic success. With the insights derived from these research sources, informed faculties at many colleges and universities have changed how they teach and what is taught. The student, unfortunately, often remains in the dark about how best to learn. However, when students understand how best to learn, the have the means to be successful in nearly any learning situation. That is what the “Way to Succeed®” program is all about. One of the most important group of factors predicting academic success is the collection of factors students themselves bring to the learning experience. Knowing how to learn remains the primary way to successfully completing your degree and is a multi-faceted set of behaviors and ways of thinking that can be developed and enhanced over time. Success in college is not often about how smart you are, but is more focused on becoming aware of effective learning behaviors and thoughts and putting them into practice when you learn. In other words, you need to move toward becoming a more mature, accomplished learner to be successful in college. This enhanced new way of learning takes a different approach than you might have needed in your high school. You will need to become independent in your pursuit of academic success as an accomplished, self-regulating learner in college. This is especially true in math and other STEM classes. Math and STEM require a deeper understanding along with an ability to recognize a situation and apply knowledge to solving a problem. Many novice students have skills but isolated skills are empty and mechanical if they do not come with understanding or connect to other concepts. Mathematics especially requires an ability to logically move through a process when solving problems. Your Find Your Way to Succeed eBook walks you through the process of becoming a more independent, accomplished kind of learner. We help you become self-aware, bring to your attention ideas that promote effective learning practices, and ix encourage you to try out specific actions that address learning weaknesses. I know this method is effective because I devoted years to studying this approach with students like you. I have found that improving student awareness of quality learning techniques significantly increased motivation and academic success mathematics. Even if you are already an accomplished learner, you can still improve your learning effectiveness using these methods. One of the greatest ideas you can acquire through your college education is that you are in control of your own learning and success! I truly believed in the power of each student to determine his or her own destiny. Knowing and understanding personal responsibilities, strengths, and weaknesses is essential for personal growth and achievement. You can accomplish much through connecting discoveries about yourself with solutions for weaknesses and continuing to exercise and develop your personal strengths. Best Wishes for your Future Success! Dr. Jane Frazier Reed Co-Founder and CEO, Way to Succeed, LLC 1 ~Chapter One~ Learning How to Learn: Your Best Advantage for Success “Wisdom.... comes not from age, but from education and learning.” ― Anton Chekhov PURPOSE: Discover that your approach to learning can determine your success more than any other factor. Assignment: Multiple Choice Quiz 1: Introduction Priorities in order? You have signed up for your classes and signed in on your school’s learning management system (LMS) that allows you to access your instructor, communications, and documents for your classes. If you are attending classes in person this semester, undoubtedly you have located all of your classes on the map of your campus. Have you purchased your textbooks and software required for the classes you are taking? These are all important tasks to take care of, and all this is different from what you experienced in high school, right? Absolutely! However, this is only the beginning of the semester. Other important differences between high school and college will present themselves as you begin 2 the learning part of your college classes. If you are ready for those differences, you have an advantage, your best advantage for being successful in your classes. Expectations in your classes will be different. Some things are more important in college than they were in high school. Other things you found important for success in your high school classes aren’t mentioned much. How are you supposed to know what to do to be successful if you have never experienced college-level learning? More than anything, how you approach learning will determine whether or not you will be successful. You may have found high school classes to be easy, or may not have needed to study much. Others of you worked hard to get the opportunity to go to college, and found you had to study a lot to be successful. Some of you have taken advanced classes in high school, while others of you are required to take remedial classes at first. No matter what your background or skill level, your success depends mostly on what you do to help yourself be the best learner you can be now that you’re in college. That’s where Way to Succeed® comes in. This program helps you to • Become aware of the learning skills, thoughts, and planning that goes in to being the best student you can be • Identify the areas you personally need to improve or enhance for maximizing your learning and studying effectiveness through learning assessments throughout the term, and • Select and adopt research-supported actions that can increase your college-level learning. 3 Way to Succeed© helps where you need it most. You probably have obtained this eBook as a part of your math or other STEM class. Why? As we will see in later chapters, math, chemistry, and physics tend to have more failures than any other freshmen course. Estimates range from 30% to 80% of incoming freshmen fail to receive credit for their first math class! There are reasons for that, but Way to Succeed® is designed to help you avoid the failure that your peers have historically experienced in these classes. When used thoughtfully, you will have the tools you need…not math tools, but learning tools that are used by successful students everywhere. When you use these learning tools, you greatly improve your ability to pass and even excel in this STEM course. Learning is learning. No matter what course you are taking, you need to know how to learn. Much of what is in these pages is applicable to any learning, from baking a cake to academics. Keep reading, analyzing, and thinking about what you are doing to help yourself learn, and you will gain mindful insights about what works for you to achieve your learning goals. ❶ ❶ Assignment Next 4 Assignment 1: Quiz: Learning How to Learn—Your Best Advantage Preview Quiz 1 below. Then click on this Quiz 1 link to access your live quiz which will be graded. You will need your username and password to access the live quiz. 1. Approximately what percent of students fail to receive credit for their first math class? a. 10% - 20% b. 20% - 30% c. 30% - 80% d. 80% - 90% 2. The most important component of school success comes from your a. Intelligence b. Course background c. Correct course placement d. How you approach learning 3. What subject areas have the highest failure rates? a. Math and History b. Math and other STEM classes c. History and English d. Chemistry and English 4. You probably have worked hard to get to college. What can you do to be academically successful now that you are here? a. Buy all the recommended textbooks and software b. Learn how to be the best learner you can be c. Make sure to get to know lots of people on campus d. Try to join as many clubs and activities to fill your time 5 5. The new experience in learning at the college level requires that you adopt new behaviors. These might include a. Studying and doing homework for more hours than you are used to doing in high school b. Getting yourself out of bed for classes on your own c. Keeping track of due dates for yourself, because your professor probably won’t remind you when things are due d. Reviewing material before a test on your own because the professor will probably not review with you e. All of the above Quiz: Chapter 1 Score: _____/5 = ___________% 6 ~Chapter Two~ Assessing your Learning Practices: A Baseline “Remember that change happens slowly and progress must be continuously preserved... The process is just as important as the outcome--sometimes even more so. And when things get rough, remember how much of a difference a committed individual can make.” ― Severine Autesserre, The Frontlines of Peace: An Insider's Guide to Changing the World PURPOSE: Evaluate your current learning practices and analyze your personal strengths and weaknesses. Assignment: Take the Way to Succeed® Assessment #1 and Analyze Results and Corrective Actions. Video 1: How to get the most out of your Way to Succeed® Learning Assessment Video 2: How to read your Way to Succeed® Learning Assessment Results Report Different people, same expectations. Everyone arrives in colleges and universities with different histories of previous academic experiences. Regardless of how selective your college admissions process was, you and your current classmates bring a wide range of learning styles, talents, work ethics, and academic preparation to your school. For the most part, your professors will teach their courses as though 7 you all have the same academic background and already know how to learn effectively at the college level. However, history shows that not all students at your school will pass all their firstyear college classes. While there are many reasons for a lack of success, one of the most common reasons is that first-year students often fail to adjust their learning practices to ones that will bring success at the college level. In other words, regardless of your academic preparation and intelligence, the way you approach learning can either help you succeed or help you fail. STEM classes, especially mathematics classes, commonly have the highest failure rate of any first-year classes. This is not intended to scare you, but you should be aware that math and other STEM classes require you to be more attentive to and mindful of ways to be successful. Many students find these classes to be more difficult. Future classes will build on the ideas learned in your current class. How much you learn in these introductory classes can set a baseline for future success or failure. In the previous chapter, you learned that college classes are different (We will look at HOW they are different in the next chapter). It should come as no surprise that what you do to learn will need to change as well. Do you know how effective your learning practices are for your current situation? One way to find out is to just experience college, and see how you do. However, you may find out too late to make any meaningful changes that would keep you from failing, which is costly in time and money. There is a better way. You now have a great opportunity. You have the chance to analyze and improve your current learning practices and approaches to learning. Doing so will make your learning in this college-level class more efficient and you will probably 8 become more successful. The experts at Way to Succeed® have developed a learning assessment that will help you determine your personal learning strengths and weak areas. You probably already know a few things that work for you in your math or STEM class, but you can always improve no matter what your prior level of success has been. You are unique. Your learning practices profile will be personalized to you. With over 1600 possible combinations of learning strengths and weaknesses, you can be sure the Way to Succeed® assessment can pinpoint your specific learner characteristics. There are no right or wrong answers. You will not be graded on your scores, so don’t try to impress anyone with your answers. Your honesty will make this a more meaningful and useful experience for you to evaluate your learning practices and explore ways to improve. You will be taking three assessments during this course. The reason you will take three assessments is to see improvements in your learning methods over time. You will see progress if you take the time to recognize areas in which you need improvement and work on these areas. Way to Succeed® will offer helpful suggestions at the end of the assessment so you will know some practical things you can do to make changes. • The assessment takes about 10 -15 minutes to complete and all your answers are scored immediately. • Take a few minutes to review Video 1 titled “Taking Your First Way to Succeed Assessment” (linked here) so you will understand how to use the assessment tool to your best advantage. • After you take your assessment, be sure to view Video 2, how to interpret and use your Results and Action Plan to improve your learning. ❷ ❷ Assignment Next 9 Assignment 2: Way to Succeed® Assessment 1 1. View Video 1: How to get the most out of your Way to Succeed® Assessment 1 by clicking the link below Taking Your First Way to Succeed Assessment 2. Click on the Assessment link below to begin Assessment 1. You will need your username and password. Take Assessment 1 3. Once you are done, follow the link on the end screen to see your results. 4. Click on the link below to see a video about how to interpret your results. Understanding Your Results Assessment1 5. Look at all your scores and check out your three top scores (strengths) and three lowest scores (weaknesses) highlighted at the bottom of the results page. By clicking on the [ANALYZE] button, you can read about what your experiences might be with your strengths and weaknesses. Do these descriptions sound familiar to you? 6. To get a visual of your results, click on the GRAPH button. Here you will see your score as a dot on a modified box and whisker plot for each category. 7. Look at the ACTIONS on the Results page. Select ONE or TWO associated actions for each of your three lowest categories you could reasonably try over the next few weeks in your math or STEM class. These Actions should make sense to you, so they will be easier to put into practice. Try your selected ACTIONS over the next several weeks that will help you become a better learner in this class. 8. Click on the ACTION PLAN button at the top of the page. You might want to print your Action Plan and highlight your selected ACTIONS so you can refer to your plan often during the next few weeks. Assignment: Chapter 2 score: Completion of Way to Succeed® Assessment and Action Plan (100%) 10 ~Chapter Three~ Your Approach Makes All the Difference! How College is Different from High School “The only way you can sustain a permanent change is to create a new way of thinking, acting, and being.” ―Jennifer Hudson PURPOSE: Understand how learning and being successful in college is different from learning and being successful in high school. Assignment: Multiple Choice Quiz: How College is Different from High School Living up to new expectations. You most likely already have an idea about how college and high school are different, but it isn’t just the personal freedom, the more open schedule, and the older student body that you need to pay attention to. After all, you are here because you are wanting an education that will allow you to pursue your career goals (hopefully!). Even if you don’t know what you want to do for a career, you still need to get those freshmen classes completed successfully so you can move on once you make a career choice. Let’s look at the details of the differences between college and high school that you will need to know about so you will not be surprised by expectations on campus or in your distance learning class. The following list is a compilation of 11 ideas from personal experiences of students. These ideas were important to the students we interviewed and should be important to you when you are making decisions about your daily and weekly classes and study sessions as a new student. Soon you will become accustomed to the way things are in college, but in the beginning, it’s important that you understand that these ideas will seem unfamiliar and a little hard to get used to. Becoming aware of these differences will allow you to use your knowledge to your advantage and stay caught up. In high school…. In college…. Teachers tell you what assignment is due every class day, so you don’t have to keep track of assignments on your own. Professors give you a syllabus containing a list of assignments at the beginning of the academic term, and you are expected to complete them according to the schedule. You should write your assignments in a calendar. You will be your own advocate, managing all aspects of your academic responsibilities. Before a test, professors often move to the next topic in the course, and do not often review material that will be on the test. The review is usually entirely up to you to create and complete. Professors may include homework assignments as part of your grade. They assume you will complete them on your own without reminders. The list of assignments and due dates for the semester is typically part of your syllabus. Professors assume you will look at your syllabus to see when tests and quizzes are scheduled. They should be written in a calendar. You will receive one grade for each course at the end of the term. It is up to you to keep a running account of your grade throughout the term to keep track of how you are doing. Professors assume you will complete assignments outside of class. They will often use class time for instruction only. Parents and teachers help you with managing grades and difficult situations. Before a test, teachers will spend a day or two reviewing concepts, and will often provide a review assignment for you to complete to help you study. Teachers check to see that your assignments are complete, and will remind you to make sure you turn in assignments. Teachers usually give plenty of warning before tests and quizzes. You usually receive a lot of feedback from your teachers through frequent progress reports and report cards. Teachers give class time to complete assignments. 12 In high school…. In college…. Your schedule in high school was structured during specific school hours with little free time. Your schedule is more unstructured with gaps between classes. You must learn to manage your schedule so you have sufficient time for studying and completing assignments, working a job, and having some time to relax. Independent homework is required, and you should expect to spend two to four hours for studying and completing assignments for every hour of class time. Late assignments are usually not accepted. Professors often assign readings in math and other STEM classes, and often ask you to come to class having read and studied the lesson ahead of time. Independent homework, if any, does not usually last more than 30 minutes for each class that you attend. Teachers will often make exceptions for late assignments. Teachers rarely assign readings in math or other STEM textbooks. They usually explain everything in class. One of the most important themes of the table above is that as a college student, you must become your own manager. Learning to manage your time, your learning, and your attendance in classes, represents meeting your responsibilities. When you learn to manage yourself in these ways, you are preparing yourself for life and career responsibilities as well as helping yourself to be successful in the college classroom. 13 Time management. Managing your time is critical for your success, and the sooner you can gain control over your time, the better. Even if you have never had to use a calendar before, you will probably find that a calendar is essential to record important assignments, due dates, and tests. Obtaining a good Monthly or Monthly/Weekly calendar, either paper, on a mobile device, or online, is a wise investment to help you manage your time. Time management can help you to 1. Coordinate all the responsibilities from different classes. 2. Integrate school responsibilities with work schedules and family duties. 3. Identify conflicts in your schedule before they catch you off guard. 4. Recognize when multiple assessments or assignments are due so you can plan ahead. 5. Reduce stress by having all your responsibilities written down and in one place. 6. Schedule some down time—time to relax when you have met your responsibilities for each week. Self-discipline. Self-discipline and self-control can help you stick to your plan for all your activities and responsibilities. You have a lot of freedom in college. Classes don’t meet every day, and often you have free time between classes. No one is telling you to study, and your professors seldom remind you of 14 upcoming assignments and tests. If you are not careful, the freedom of college and the distractions you find in college will overtake you and leave you little time to pursue the real reason you are there—to get a degree for the career of your choice. Persistence and perseverance are critical to succeeding in your studies. Goals help you to maintain your focus. Students who have goals and stick to them are more successful than those who have no goals. Two different types of goals, long-range goals and short-range goals serve very different purposes. Long-range goals. These are your aims for your degree or career. What are you here in college for? What major have you decided on? Do you know what your career goals are? Do you want to make your family proud by being successful at college? These types of goals remind you of why you are in college and can help you move through difficult or challenging courses. They also can help you motivate yourself through difficult times when your studies become hard to manage. Knowing your long-range goal can help persist so that you can reach your objectives. Make a Plan In order to meet those goals, you need to think about what is required for you to attain your goals. You have enrolled in college and signed up for the requisite classes, which is a great start. You can also plan for jobshadowing and apprenticeship opportunities which will put you in contact with those already in your field of choice. Research what steps you need to take to make your career goals a reality in the future. Short-range goals. These are your day-to-day or weekly goals. What do you want to accomplish by the end of the day? What is your plan for the week? What are your upcoming tests and assignments? How much time to you need to study and work on these assignments? How can I plan to fit everything in to my existing schedule? Short-range goals help you stay focused on immediate tasks 15 and schedule time to complete them. These are the “now” tasks that you can’t really put off for very long if you want to be successful. Make a Plan every week. The end of one week is a great time to plan the upcoming week. Look ahead at assignments, classes, job responsibilities, and don’t forget to include a little down time. Writing down your plan for the week reduces wasted and thoughtless use of your time and helps focus your attention on your priorities for meeting your long-range goals. Make a Plan every day. Just like planning a week, day planning can best be done at the end of the previous day. What were you not able to accomplish? What needs more attention that you didn’t expect? While these things are fresh in your mind, take a few minutes to plan when to do each task on your list. Start each day knowing what you need to do, and then do it! You’ll be surprised how much you can accomplish with a reasonable plan! Few colleges will treat you like you are still in high school and that’s a good thing! College is different. Whether you are managing your time, disciplining yourself, planning for your future, or scheduling out your day or week, you must develop these skills if you are expecting to be successful at the college level. These skills also transfer to the work place, and you will be wise to make it a point to develop these habits and grow while you are here in college. Now that you know this, you can begin to work on being your best self. ❸ ❸ Assignment Next 16 Assignment 3: Quiz: How College is Different from High School Preview Quiz 3 below. Then click on this Quiz 3 link to access your live quiz which will be graded. You will need your username and password to access the live quiz. 1. The outline of a course and upcoming dates, assignments, and assessments is called a(n) a. Calendar b. Agenda c. Syllabus d. Program e. Schema 2. Typically, you will be given time in class to complete assignments and projects. a. True b. False 3. A calendar can help you a. Coordinate your school, work, and family commitments b. Keep track of your assignments and due dates for multiple classes c. Reduce your stress level d. Identify scheduling conflicts and tests and papers from multiple classes scheduled for the same day. e. All of the above 4. The amount of time I should expect to spend completing assignments or studying is a. One half hour for every hour in class. b. One hour for every hour in class. c. Two hours for every hour in class. d. Two to four hours for every hour in class. 17 5. One of the most important ideas of this section is that in college, a. …you must be smart to be successful. b. …you must learn how to manage your own time and be your own advocate. c. …students should expect similar requirements as experienced in high school. d. …your parents and professors will help you to be successful. Quiz: Chapter 3 Score: _____/5 = ___________% 18 ~Chapter Four~ Anxiety in Math and Other STEM Courses and How to Overcome It. “Fear stops a lot of people. Fear of failure, of the unknown, of risk. And it masks itself as procrastination.” ―Lisa Anderson “We generate fears while we sit. We overcome them by action. Fear is Nature’s way of warning us to get busy” ―Dr. Henry Link PURPOSE 1: Understand why you might be anxious about your math or other STEM class. PURPOSE 2: How to reduce your anxiety. Assignment: Matching Causes of Math and STEM Anxiety with Possible Solutions We learned in the Chapter 1 that Mathematics and other STEM courses such as Chemistry, Biology, and Physics have higher failure rates than other freshmen courses in college. Many people are intimidated by these subjects. They fear these classes so much that they change majors to avoid having to take these classes, even though they are perfectly capable of learning the material. Anxiety 19 can make students forgetful, increase mistakes, and decrease confidence in their abilities. What makes people so afraid of STEM classes, especially math classes? Top 10 Reasons students have Math Anxiety. Many of these anxiety-inducing reasons find their way into other STEM classes. If you recognize yourself in any of these descriptions, use the suggestions to try to reduce your anxiety: Fortunately, all of the reasons for anxiety listed below have a solution if you are willing to make a change in how you approach learning math or other STEM courses. 1. Fear of the Unknown: When new concepts are not understood yet, people have a fear that the unknown ideas are complicated and difficult to comprehend. Greek letters and other unfamiliar symbols present a mysterious and anxiety-inducing quality to advanced mathematics study. In reality, the symbols are often shortcut notations for simple series of math steps that when understood, are not so difficult after all. New concepts and skills become more familiar and easier to understand once you give yourself time to integrate the ideas into what you already know. Solution: Have patience with yourself. Realize that your professor will introduce concepts in a logical order, and that the unfamiliar parts will become a more common part of your knowledge base as you work through practice problems and assignments. If you continue to be confused, don’t hesitate. Instead, obtain help right away, either with a friend, with a tutor, at your school’s help center, or with your instructor. Practice each unfamiliar process until it becomes comfortable. Building a strong foundation at the beginning of a semester can smooth the way towards success for the rest of your semester. 20 2. Teacher Criticism: Negative comments from teachers can have a profound effect on a student’s attitude towards learning math, contributing to anxiety felt years later. If you have experienced this, you know that harmful criticism can severely damage your perception of your abilities. Realize that the teacher making such comments has only a limited view of your skills and aptitudes, and cannot accurately evaluate your actual skills. Solution: Realize your teacher does not know you now. Keep in mind that as you grow older and as your mind matures, you are able to do things that were difficult for you at an earlier age. You are a different person now than you were when these comments were made, and you most likely have developed new skills and attitudes since then. The comments are most likely not valid for you at this time. Make a determined effort to tune out the negative comments from the past. 3. Prior Negative Encounter in a Math Class: Related to the reason above, many anxious math students can point to one or more experiences with a math course or a math teacher that scared them, embarrassed them, or destroyed any confidence they once had with their abilities. Working problems on the board, being called on for answers in class, and even math games are all opportunities to be publicly shamed. You are not alone. We all want to avoid public humiliation. Solution: Realize that you are now in a class in which you can put in the required effort to make the best of your learning situation, and there are resources at your school and online to help you! College-level learning does require more independent work. You must acknowledge and act on that understanding to be successful. Become your own advocate, and actively seek out assistance when you need it. You are not alone in asking 21 for help. Most college students seek some assistance in their classes, especially in their math or other STEM classes. 4. Holes or Gaps in Prior Learning: Some students have missed big ideas, such as working with fractions, so they struggle more with applying those ideas to more abstract and algebraic processes. This often happens when a student has missed school for an extended period of time or when the language of the classroom is not the primary language of the student. Your high school may have disregarded important topics you are expected to know. This does not mean you have a lower ability in math Solution: Determine to identify weak areas in your background knowledge and use available resources to freshen up your knowledge and understanding in these areas. The internet is a great tool to use. The free website, Khan Academy (khanacademy.org), is great for catching up on specific areas. For example, type in the key words for the topic you are interested in, such as “Adding Fractions” or “Graphing Quadratics.” You can then watch a short instructional video and have a chance to practice the basic knowledge you can apply to your current math problems. You also have the option of going to your school’s help center, hiring a tutor, or enlisting the help of a friend or classmate to assist you. Remember, it is up to you to be your own advocate to address these shortfalls if they exist. You are probably more receptive to understanding the concepts now that you are older. 22 5. Insufficient Course Background: High school coursework and lower-level demands for learning may not have prepared you for the requirements of your current college-level course, leaving you feeling inadequate and more anxious. This may be especially true after the covid lockdowns. Solution: Despite your background coursework and knowledge, you can make up ground with the right time and resources available to you at your school. The solution to this problem is two-fold. First, determine which are the specific topics you have not studied in earlier math classes. Use the techniques in the above solution to the gaps in learning, Reason #4, to fill in the gaps you have experienced in your earlier studies. Secondly, determine to meet the increased level and pace of your more rigorous class with strategies that help you to manage the extra time you need to be successful. If you are not used to the workload, use your calendar to plan frequent and short study time around your classes, so that you have sufficient time to digest new material and review earlier concepts. Make a concerted effort to stay current with concepts and assignments, because falling behind the class can be nearly impossible to remedy. 6. Lack of Fluency in Math Facts: Those who have not learned their math facts well, especially the multiplication tables (in other words, those who are calculator-dependent), find they are slower than others in their class who memorized them. You just can’t see the relationships between numbers easily without the aid of a calculator. Finding common factors of two or more coefficients is one example of when knowing your math facts helps you work through problems. Timed tests for math facts such as addition or multiplication tables have increased anxiety for many people. The pressure 23 to quickly recite math facts have given young students the incorrect idea that speed is all important, and that math is not their best subject. When you don’t know your math facts well, your brain is distracted by trying to remember them and it is harder to focus on the new ideas of the abstract concepts you are being taught in your class. Even though you will find math easier to do and understand if you know your multiplication and addition facts, you still have a capacity to reason, estimate, see patterns, relate quantities, and problem-solve. Solution: Take a few minutes every day to run through your multiplication facts if you are very rusty. You can find many practice programs online. Try timestables.com for one website. You will find them easier to memorize now that you are older, and you may even recognize patterns in math that help you with more complicated calculations. For example, multiplication facts are especially helpful when factoring larger numbers, algebraic expressions, and equations. Even if you must depend on a calculator to work out simple calculations at first, realize that you probably have good reasoning and problem-solving skills that are not totally dependent on reciting math facts, but knowing them can make your math work easier and faster. 7. Language and Reading Issues: Word problems have been misery for many a math student, even ones without language or reading difficulties. Language or reading can create a lot more anxiety about the math involved. Students with these problems are not sure they understand the situation, making it difficult to know what they should do to solve the problem. Language barriers can make class time more confusing and complicated. Math textbook explanations and computer interfaces may use unfamiliar math-specific vocabulary and a reading or language problem can make this worse. 24 8. Solution: Current technologies can help with reading comprehension and translation into first languages. Keep a running glossary of commonly used terms so you can quickly find definitions and translations. You also might partner with a friend who speaks the same language as you so you can piece together the meaning behind explanations for solving problems and understanding and solving word problems. 8. No Fakery Allowed: The requirement to “show your work” can more easily expose students’ lack of understanding and makes students feel vulnerable and anxious. You might have been in a situation where you have no idea where to begin when solving a problem, and this leads to thinking that you might have to leave the problem blank. However, practice gives you the opportunity to see that the first step will seem to present itself if you can practice. Each step will lead to more simple ones as you work through the process. Solution: Warning: You cannot claim to KNOW how to work a math problem simply by watching someone else do it. There is no substitute for your own personal practice. You will be expected to work problems on a test or quiz, so it is imperative that you are able to work assignment problems on your own. Your assignments are your best opportunity to practice how to approach a problem. Your effort and time spent positively influences your ability to become proficient, lowering your stress level. 25 9. Studying for Math and Other STEM Classes is Different: The way you study for math is different than studying for other classes. Math and other STEM courses requires practicing your skills. The time required to understand a concept is different for each individual and idea being learned. In other words, students must make the necessary time to work at understanding. Sometimes learning and understanding is not a neat or consistent process, and varies from one person to the next, and from one concept to another. Knowing that you need more time now and then should help with reducing your anxiety. Solution: Math and other STEM classes are performance-based subjects. Other performance-based areas of study are music and athletics. We draw conclusions about how to become better skilled at music and athletics through spending time practicing. The same is true for math and other STEM subject skills. They need to be practiced and then applied. 10. Process is Emphasized over Memorization: Math is a process-based subject, and memorization is usually not emphasized. Chemistry and Physics are similar in that there are problems to work. You have to understand the process to be able to apply it to new situations. Often, you must use prior knowledge to work your way through a difficult, multi-step problem. Your instructor emphasizes the importance of the process when he or she gives credit for the steps you use Solution: Recognition of when and how to use algebraic processes becomes easier with practice. The more you familiarize yourself with the processes used in the math or STEM subject you are studying, the easier those processes become. You will also more readily be able to determine when these processes apply to what situations. ❹ ❹ Assignment Next 26 Assignment 4: Quiz—Matching Causes and Solutions for Math and STEM Anxiety Preview Quiz 4 below. Then click on this Quiz 4 link to access your live quiz which will be graded. You will need your username and password to access the live quiz. Matching Causes with Solutions: For each of the reasons in the left column that contribute to Math and STEM Anxiety, find a matching solution in the right column. _____ 1. Holes or gaps in prior learning a. Math and STEM courses use the learning principles of practice and rehearsal. Math and STEM require applications of ideas in new situations. This is different from other courses that require more rote memorization. _____ 2. Past teacher criticism b. You will be given problems you haven’t seen before on tests. Understanding the processes used to solve these problems is essential. Time and effort spent with the steps you need to learn makes them easier to use and apply. _____ 3. Lack of fluency in math facts c. First, determine what holes or gaps you have. Secondly, plan for extra time to catch up. Make use of the learning support systems on your campus or use internet or on-campus resources to fill in the learning gaps you may have. _____ 4. Understanding a process is necessary d. If your earlier coursework was less rigorous or if you didn’t do well in your prior classes, now is the time to increase your pace and learning strategies that will help you manage the extra time and effort you need to be successful. _____ 5. Language and reading issues e. You can’t get by with just being able to recognize good problem-solving (like in your class). You must be able to problem-solve for yourself. You will know how to problem-solve when you practice independently. 27 _____ 6. Fear of the unknown f. Find a good translator, or work with another student who does not have language or reading issues. Also create a glossary of commonly used terms. _____ 7. Insufficient course background g. Realize that the teacher making such comments has only a limited view of your situation, skills, and aptitudes in the past. _____ 8. Earlier negative experience in math h. Begin each study session reviewing multiplication and addition facts, especially ones with which you are rusty. _____ 9. You can’t easily fake math knowledge i. “Scary-looking” symbols are introduced in a logical order. You will become more comfortable and familiar as you use them. _____10. Learning math and STEM is different j. Your prior bad experience is in the past. Realize that today, you are in control of your learning. You are a different person now and can actively seek school resources whenever you need help. Most college students do this. Quiz: Chapter 4 Score: _____/10 = ___________% 28 ~Chapter Five~ Assessing Your Learning Practices, Part 2 Checking on Progress “Our progress, the realization of our dreams, and the quality of our life depend directly on the level of our commitment to the process.” ― Dr. Prem Jagyasi PURPOSE: Re-evaluate current learning practices to document changes in strengths and weaknesses. Assignment: Take the Way to Succeed® Assessment #2 and analyze Results and corrective Actions. Video: Taking your second Way to Succeed® Learning Assessment Video: Understanding Your Learning Assessment 2 Results Report Now that you have been in your classes for a few weeks, you probably have developed some strategies that have helped you to learn better. Your learning strategies have most likely improved, but there is always room to grow. Learning how to learn is a process that will continue to develop over time. The Way to Succeed® method works in two distinct ways. First, when reading the statements, you are exposed to and think about learning in ways you may not have thought about before. Just contemplating new ideas and self-reflecting on your own current practices can bring about changes in the way you approach learning for this class. Second, Way to Succeed® analyzes your unique set of answers and can identify inefficient learning practices that may be holding you back. The survey results also detect those practices that are beneficial to your learning. The personalized recommendations for actions are tailored for your specific results. They give you practical ways you can adjust what you are doing so you can be more successful. 29 By acting on these recommendations, you can avoid the struggle and lack of success many students have encountered with the content in your current class. These recommendations can be used to help you to be successful in any of your classes, whether online or in person. The purpose of this second learning assessment is to 1. See if you have improved in any of the nine areas Way to Succeed® measures that have been shown by research to maximize learning. 2. Fine tune your learning practices so you can continue to improve your level of achievement in this class. 3. Determine if you have any new strengths to celebrate or new weaknesses to work on. Some of the questions you will encounter will be the same, but some will be different, based on the answers you gave for Assessment 1. Please remember: • • • Be as honest as you can when evaluating yourself and your learning practices. You will not be graded on your score, only that you completed the assessment on time. Your results will be of no value to you if they don’t reflect your real and current learning behaviors. It is a good thing that you don’t remember how you answered your questions from a few weeks ago. You are a different learner now, and your current learning practices are probably different too. Think of the new assessment as a “snapshot” of your current approach to learning. Then use the “Compare” graph in the results page to see how you have changed over the last few weeks. ❺ ❺ Assignment Next 30 Assignment Chapter 5: Way to Succeed® Assessment 2 Assignment: 1. View the Video “Taking Your Second Way to Succeed® Learning Assessment.” 2. Click on the Assessment link below to begin Assessment 2. You will need your username and password. Take Assessment 2 3. Once you are done, follow the link on the end screen to see your results. You can use the video “Understanding Your Learning Assessment 2 Results Report” to help you interpret your scores. 4. Look at all your scores and check out your three top scores (strengths) and three lowest scores (weaknesses) highlighted at the bottom of the results page. By clicking on the [ANALYZE] button, you can read about what your experiences might be with your strengths and weaknesses. Do these descriptions sound familiar to you? 5. To get a visual of your results, click on the GRAPH button. Here you will see your score as a dot on a modified box and whisker plot for each category. Since this is your second assessment, you can now click on the GRAPH, and then GRAPH OVER TIME button. This shows both sets of scores. You might see that you have improved in several areas since your first assessment. 6. Look at the ACTIONS on the Results page. Select ONE or TWO associated actions for each of your three lowest categories you could reasonably try over the next few weeks in your math or STEM class. These Actions should make sense to you, so they will be easier to put into practice. Try your selected ACTIONS over the next several weeks that will help you become a better learner in this class. 7. Click on the ACTION PLAN button at the top of the page. You can print your Action Plan and highlight your selected ACTIONS so you can refer to your plan often during the next few weeks. Assignment: Chapter 5 Score: Completion of Way to Succeed® Assessment and Action Plan (100%) 31 ~Chapter Six~ Note-Taking 101 and Improving Test Scores in STEM (Online & In-Person Classes) “I’ll write down little lines, I always say, ‘K.T.N.’ and I say that to my receivers and running backs and that means ‘keep taking notes.’ That keeps me alert. That keeps me going. That keeps my drive there, even when you’re taking notes on something that you’ve already taken notes on a million times – keep taking notes.” --Russel Wilson PURPOSE 1: Understand how to develop quality note-taking skills. PURPOSE 2: Know how to prepare effectively for tests. Assignment: Multiple Choice Quiz: Taking Notes, Studying, and Taking Tests You will face many tests in your college career. What are some ways to maximize your scores? If you have been keeping up with lessons or classes and have completed your outside assignments, you are on your way to doing well. Here are a few suggestions that should build on your ability to get a great grade on your next assessment. Before the Test: Preparation for tests begins long before you deliberately begin studying for it. The background experiences in your course, such as class lectures, demonstrations, labs, readings, practice assignments, projects, and the like, all 32 contribute to your knowledge of the material that is to be covered on the test or other assessment. Typically, your professor wants you to experience what he or she knows will help you learn the material best. Your best preparation begins here, when you attend every class and complete all readings and written assignments and projects. Class time is best used for listening to and recording your instructor or the online lecture. Digital recording is one way to make a record of your class, but there are many advantages to writing down a record of what went on in class. Let’s look at a few of these, and why these are more beneficial to your learning than merely video- or audio-recording the lecture. Taking Notes 101: Many students leave high school with few skills in taking notes. Perhaps this is because notetaking is not always necessary in high school. Many high school students can be successful without taking notes. However, as we have seen in Chapter 3, college and high school are different. The pace is quicker, and students typically are expected to know more content for each test or quiz. Without notes from class or while studying, you may find that you can’t remember everything you need to perform well on your class tests. Preparing for your tests begins in your classroom or in your online lesson. That’s where good notetaking can help you remember what you need to know. Here is what quality notetaking is NOT: • Quality notetaking is NOT taking photos with your phone of the example problems worked by the instructor 33 Why? You are not following the procedure line by line as your instructor explains it. Looking at your pictures later is a little like reading a textbook, but without the sidebar notes. It also is hard to find the relevant picture in your phone at a later time. • Quality notetaking is NOT waiting to write notes only when you see a problem you don’t know Why? You probably won’t know if you understand how to do an example problem ahead of time. Take notes on ALL the problems presented in class. These are the ones your instructor is emphasizing, and similar ones will most likely be on tests. • Quality notetaking is NOT skipping writing steps that you already understand in examples worked in class Why? Having incomplete steps in your notes can be confusing if you forget how you got from one step to the next, and researching that missing step can be difficult. With complete steps, you can smoothly follow the logic of the process long after your class is over. • Quality notetaking is NOT just listening to instead of writing down the explanation of a problem worked by your instructor Why? The instructor will often point out places where students typically have trouble in a given problem. More importantly, the explanation he or she gives is a way to think about how to approach a problem. Your instructor is an expert in solving problems you are supposed to learn, and the thought processes behind starting and completing a problem can be invaluable to someone just learning these processes. Writing the steps and the explanation if you have time, is a way to provide you with three different ways information moves into your long-term memory; auditory, visual, and 34 kinesthetic modalities. The more modalities you can use when learning, the easier it will be for you to retain and remember information or processes. • Quality notetaking is NOT depending on another’s notes so you don’t have to write anything in class (or even go to class). Why? There is no substitute for paying attention in class while you attend your class. Someone else’s random notes are not the same as an expert’s (your instructor’s) planned lesson for the day, which probably includes examples with explanations, questions from other students, announcements, and suggestions for what to do for tricky problems. Your instructor might also remind you of upcoming tests, quizzes, or other assignments. Notes completed in class, even your own, are often hastily written, and can be incomplete or hard to read. Furthermore, if you are not there, you have not listened to the explanation by the instructor. Your best bet is to attend class for yourself, taking your own notes, listening to the instructor, and rewriting your own notes right after class if your notes are disorganized or messy. Rewriting and reorganizing notes can help you process the new information better, helping you remember in the future. Studies have shown that students who take the time to rewrite notes from class remember the information better than students who don’t. Better notes also mean that you have a better resource to use later when completing assignments and when studying for tests and final exams. • Quality notetaking is NOT ignoring the definitions and explanations in your textbook, online, or elsewhere. Why? The terms used by the author of your text or E-text are part of the common language of the subject you are studying. You need to be familiar with this vocabulary so that the explanations given in class or in your 35 readings will not be confusing to you. You also can be more efficient when you use the correct terminology in speaking and writing. Why is notetaking important? Research has shown that the students who take few or no notes at all while in class score lower on tests and have a lower final grade than those students who take quality notes. Non-note takers are also more likely to drop out than note-takers. Several factors explain why this happens. First: You are developing a good resource. Note-taking is a good way to recall what was covered in class or in your online lesson and can become an important resource for you. No one can remember everything from class, but good, sequential notes can help you remember more. You can use these notes to review for tests and final exams. Second: You will know what is important. The instructor and online demonstrations usually demonstrate example problems that are either involve good, foundational processes, areas in which students typically have trouble, or both. Quality notes coming from class or online problems are typically important processes to know and understand. Third: Taking notes helps you focus. The notetaking process itself helps you pay close attention to the sequences and progression of thoughts and logic within a particular example. This will help you better understand the ideas used to find solutions. You will be less likely to daydream or miss important ideas when you actively focus on and record what is going on in class. When working online, the tendency is to read over examples, without really thinking about the process. By rewriting notes and examples and thinking deeply about the problem-solving methods involved, you are 36 helping your brain process the new information, making it easier to remember later. Fourth: Notetaking improves engagement and motivation. Your active participation in class and the effort you put forth to write a record of class can be motivational for you when you find you have created quality resources for yourself. You will be more positive towards your learning when you know what is going on in your class and note-taking helps that happen. When you become pro-active in your learning, you generate your own energy, motivation, and control over your learning situation. Should I take notes in my notebook or on my laptop? Hand-written notes are the clear winner in this case. Laptop notes are better than no notes at all. However, you should consider four things. 1. Math and other STEM classes use a lot of symbols and ask you to work a lot of problems. These are difficult and slow to accurately type on a computer. Students using this note-taking model tend to spend more time figuring out how to type the problems than paying attention to the process of solving the example problems worked in class. Using a pencil and paper for taking notes in STEM classes is the most efficient method. 2. The temptation to check email or watch a video during class can be strong, especially when your instructor can’t see what’s on your screen. You are not really “getting away” with anything, since you will not be using your time in class to your advantage. The distractions on your computer are not beneficial to your learning, and you can miss important content and other information. 3. Research has demonstrated that hand-written notes result in greater recall than typed notes. Because writing is often slower than typing, students must 37 sift through a lot of information during class, forcing them to be more selective in what is written in their notes. The thought processes of summarizing and decisionmaking when writing notes is associated with a greater ability to remember what was covered in class. 4. Typing everything an instructor says word for word draws your attention away from the meaning of the words, forcing you to focus on transcribing the lecture. This reduces your understanding and recall, especially when working with abstract concepts or applications of ideas. You probably won’t read a word-forword transcript of the class later anyway. For more ideas, check out the Note-Taking Guide for Math and STEM classes at the top of the Results page of any of your Way to Succeed© Assessments. Select a couple of new ideas to think about or try during your next class. Studying Before the Test (…and how do you “study” for math and STEM anyway?) Studying involves (A) improving your knowledge (terminology, understanding new concepts, and finding relationships between old and new material) and (B) improving your skill (applying your knowledge to solving problems, fluency with the problem-solving process, applying strategies and logical thinking to solve unfamiliar problems) 1. Study early. Start studying for your upcoming test at least a week before your scheduled test so you have time for extra help if you need it and you have time for re-learning of important concepts. Write or type in your tests in your calendar and then back up a week or so and add times specifically for studying for each test. 38 You may have other continuing assignments for your class that you need to complete as well. 2. Take practice tests. The number one way to improve your test score is to take practice tests. Research has shown that the number of practice tests a student takes positively correlates with their test score. Practice tests, when done enough in advance, give you the opportunity to address weak areas and get extra help in specific skills. Aim to take two or three, available online, in a test bank at your math help center, or in your online or print textbook. Programs like Khan Academy have short quizzes on specific content. Select several of these if your test covers more than one topic. 3. Rework difficult homework problems. If you haven’t done so yet, complete any unfinished homework assignments. The assigned problems give you a good idea of what you are supposed to know and provide the necessary practice to become part of your working knowledge. 4. Get together with others. You can help each other with tough concepts, and make sure you are covering all the important concepts that you will see on the test and perhaps share helpful resources. 5. Work independently. Even though it is great to get together with others, it is not a substitute for studying independently. After all, you will be working independently on your test. You need to make sure that you can complete answers to your practice problems without hints or assistance. 6. Visit the math help center. Your campus has resources, including people who can explain solutions and usually, a library of practice tests you should be trying. The tutors there can help you find and correct mistakes and assist you with making sense of what will be on the test. 39 7. Schedule time for sleep. Rearrange your calendar for your work for other classes so that you have plenty of sleep the night before the test. You will perform much better when you are well-rested. During the Test: 1. Inspect. Look through the test to find the most difficult question. It will usually be at the end of the test. Read it and think about how to solve. Then go back to the beginning and work through the rest of the test. Commonly, your subconscious will be thinking about and working through that difficult problem allowing you to solve it easier than if you came upon it for the first time at the end of your test. 2. Skip the tough problems. Come back to them later. You may recall a strategy or method for solving that you had forgotten about at first while working other problems. 3. Don’t try to rush through., Work at a steady, even pace. 4. Show your work. Write down information and show how you set up and worked through each problem. Some instructors give partial credit for incomplete or wrong answers if the work shown was on the right track. 5. Don’t spend too much time on one problem. It is better to skip a problem you don’t know how to do and come back to it later. You often will remember a strategy when working on other problems you know how to do. 6. Never leave a blank for an answer. If you have no idea how to solve a problem, read through and write down important information, draw a sketch of the situation, or come up with a similar problem with simpler numbers. Sometimes these strategies will get you moving toward a solution and may earn you partial credit for open-ended problems. If the problem is multiple choice, select a reasonable answer if you have to guess. 40 7. Ask if your solution is reasonable. Check to see that your answer is a realistic one. Use decimal conversions for fractions, trig functions, or radians and check those against the initial situation. Often you can plug your answer back in to the problem to see that your solution “works.” ❻ ❻ Assignment Next 41 Assignment 6: Quiz: Taking Notes, Studying, and Taking Tests Preview Quiz 6 below. Then click on this Quiz 6 link to access your live quiz which will be graded. You will need your username and password to access the live quiz. Select the best answer for each item. 1. Some ways to review for a test include which of the following: a. Make sure you can complete all problems in your homework assignments. b. Create your own review assignment and complete it. c. Review your class notes. d. Complete the chapter summary in your textbook or online program. e. All of the above 2. Note-taking helps you… a. …remember what your instructor covered in class. b. …make a reference for subsequent study sessions. c. …know what the most important concepts are to learn. d. …collect an orderly and representative assortment of sample of problems from which you can refer to when working assignments and studying for tests. e. All of the above 42 3. Online classes note-taking is something some students don’t think is necessary because most students want to get working on the homework problems in the section right away. You can benefit from taking notes in online classes because note-taking in online classes… a. …allows you to set your own pace for your instruction b. …makes your learning more efficient by writing down and working through example problems before working on homework problems on your own. c. …provides you with a written record of example problems and solutions to refer to without having to back out of your assignment every time you are unsure. d. …is more efficient when you have “pre-learned” the expectations in the chapter. e. All of the above 4. A good idea is to put a heading at the top of your notes for each day. You should include these heading topics EXCEPT: a. Your name b. The date c. The chapter and unit from the curriculum d. The topic 5. When you actively take quality notes for each class, you are taking control of your own learning. a. True b. False 6. A laptop is the preferred method for writing notes in math and problembased STEM classes because it’s so much faster than writing notes by hand. a. True b. False 43 7. Research has shown that students who write notes by hand remember more than students who type their notes in a computer. a. True b. False 8. Good reasons for taking notes in your class include all of these below EXCEPT: a. Active participation by taking notes promotes control over your learning. b. Taking notes help you pay attention in class. c. You can remember things better when you take notes in class. d. Typing everything the instructor says helps you remember the content better. e. You can use your notes as a reference when working on assignments and when studying for tests and final exams. 9. Quality preparation for tests should involve: a. b. c. d. e. Taking practice tests and correcting mistakes Re-working homework examples and problems Working with peers and/or with the campus tutoring center All of the above a and c only 10. The benefits of beginning to study for a test at least a week before the test include: a. It prepares you to stay up late and cram the night before the test b. It allows you time to take practice tests and additional time to analyze, and correct mistakes. c. It allows you to skip current homework assigned right before the test for other classes. d. all of the above Quiz: Chapter 6 Score: _____/10 = ___________% 44 ~Chapter Seven~ Error Analysis Evaluating Each Test Yields Better Understanding “Mistakes are their own instructors.” ―Horace “Even mistakes can be wonderful.” ―Robin Williams PURPOSE: Recognize the value of analyzing mistakes to improve learning and academic achievement. Assignment: Multiple Choice Quiz: Analyzing Your Mistakes When you get your first test back, the temptation is to either file it in the trash, or shove it in your backpack, never to be seen again. But your tests, mistakes and all, hold critical and personally relevant information that can be beneficial to your understanding of the current and future content in your course. By clarifying your knowledge of past content, you can correct misconceptions, give yourself a solid foundation for upcoming new material, and maximize your final exam score at the end of the term. 45 Error Analysis. One of the most valuable things you can do to improve your performance in this class is to analyze your mistakes on each test. Even though you are now most likely working through this eBook in the middle of the college term, your future success will depend on how well you know previous content. After all, you will be using early concepts as a foundation for upcoming content and will have a final exam that covers the whole course. By correcting mistakes on early material, you will positively affect your performance throughout the rest of your course and beyond. The next page shows how one student thought through mistakes on her most recent test. You can see that she does not write a lot, but thinks carefully about each error using the possible reason (or reasons) in the list below. Reasons for Mistake (there may be more than one). Use the letter or letters of the reasons in the last column. P = PROCEDURE. I didn’t follow the correct procedure to solve the problem. F = FORGOT. I forgot specific facts or formulas required to solve this problem. U = UNDERSTAND. I did not fully understand the concept or big idea of the problem. M = MISREAD. I misunderstood or misread the question. S = SENSIBLE. I did not check to see if my answer made sense. R = RUSH. I rushed through the test and made a careless mistake. T = TIRED. I was too tired and didn’t try as hard. B = BLANK. I left the answer blank. 46 What do I do with this information? When you have discovered why you missed problems on the test, you should come up with solutions so that you can avoid the same kind of mistakes on the next test. Below are some ideas, but perhaps you could come up with other, more personal solutions that make more sense to you and your present situation. If your reasons (last column) were a lot of the letter… P = PROCEDURE (I didn’t follow the correct procedure to solve the problem). Your best bet is to review how to work basic procedural problems so that you can perform the algorithms necessary for a correct answer. Algorithms is a fancy word for mathematical procedures, fluently and correctly. If you are having trouble 47 identifying your errors, you might have another student, your instructor, or tutor help you to decide what exactly you are doing that is incorrect. Then you can fix the issue with a little practice. F = FORGOT (I forgot specific facts or formulas required to solve this problem). You may need to better memorize commonly used formulas or brush up on your multiplication or addition tables. You might buy or create a set of flash cards for your math facts or play some math fact games on your computer. For the formulas you needed, practice writing them at the top of each of your homework pages. These formulas will work as a reference and will also help you memorize them when writing them often. U = UNDERSTAND (I did not fully understand the concept or big idea of the problem). This indicates that your learning was superficial. Understanding the “why” behind procedures and how to apply concepts help to deepen your learning. Try to focus on the rationale behind each step, and not just the memorization of what to do next. Word problems can show you how the concepts can be applied. Seeing the usefulness and real-world meaning of concepts can help you learn these concepts better. M = MISREAD (I misunderstood or misread the question). It’s possible you were not familiar with the vocabulary or skipped over directions altogether. Before a test, make sure you have reviewed the new vocabulary for the unit, and are familiar with the language common to the subject. For example, knowing what it means to “factor,” “find a common denominator,” or “derive” is important for choosing the correct procedure needed to arrive at the right answer. Another simple correction is carefully read each question or set of directions so you answer the question that is being asked. Many students skim over directions or read incomplete directions and can get questions wrong even though they had the knowledge and skills to answer the question correctly. They just didn’t read carefully. Don’t fall into that trap! 48 S = SENSIBLE (I did not check to see if my answer made sense or was sensible) This is something that is difficult to do in some math courses. You should be able to make a reasonable guess for a potential answer. If that is difficult, you should be able to “plug” your answer in the given problem to see if it makes sense. R = RUSH (I rushed through the test and made a careless mistake) Pacing your work may have been the problem here. There is little benefit to hurrying to finish a test well before the time allowed is up. One solution to pacing issues is to count out the number of problems and divide the time you have by that number, giving you a rough idea of how long you should spend on each problem. Then, work steadily and carefully without breaks for daydreaming. If you do finish a test before time is up, use the extra time allowed to check answers and to determine if your answers are reasonable. T = TIRED (I was too tired and didn’t try as hard) Perhaps this category is a collection of issues from many of the above. “Tired and confused” can result from not preparing for the test adequately and not getting enough sleep. Make an effort to control your study time for all your classes using the [Actions] in your student results page so that one class doesn’t overtake all the time for your other classes, leaving you with poor test preparation and no sleep. B = BLANK (I left the answer blank) This could be the other end of the pacing problem of rushing. You might have been working too slowly through throughout the test so you couldn’t finish the whole test in the time allowed. This can be an issue of “fluency,” the smooth command of the algorithms needed, a readiness and assurance of the procedures used to answer the questions on the test. Another possible reason for blanks is that too much time was spent on one or two difficult problems and you didn’t have adequate time to complete everything else. If this situation was yours, you need to remind yourself to skip over difficult questions so you can complete the ones with which you are more comfortable and come back to the more challenging problems at the end of the test. 49 Perhaps you didn’t know how to start a problem, and left the answer blank for that reason. How do you fix that? Prepare yourself better before the next test for by practicing each kind of problem until you are comfortable and confident in your ability to solve it. This takes time and effort, but it is well worth it. You may find that re-reading the test-taking portion of Chapter 6 would be a valuable exercise because you have now become aware of specific reasons for your mistakes. Modifying how you approach test-taking will lead to improved scores on future tests. ❼ ❼ Assignment Next 50 Assignment Chapter 7: Error Analysis Preview Quiz 7 below. Then click on this Quiz 7 link to access your live quiz which will be graded. You will need your username and password to access the live quiz. 1. Select the most common source of error on your most recent test. If you have two sources tied for the most common, select the one you think is most important. P = PROCEDURE. I didn’t follow the correct procedure. F = FORGOT. I forgot specific facts or formulas required. U = UNDERSTAND. I did not fully understand the concept or big idea of the problem. M = MISREAD. I misunderstood or misread the question. S = SENSIBLE. I did not check to see if my answers made sense. R = RUSH. I rushed through the test and made a careless mistake. T = TIRED. I was too tired and didn’t try as hard. B = BLANK. I left the answer blank. 2. Awareness of the source of your mistakes can benefit you, because a) it can guide your future studying to avoid this source of error b) you will have the opportunity to re-learn past material for which you are still responsible on future assessments and on the final exam. c) you may understand better how your instructor creates tests and how he or she grades your work. d) All of the above. 3. Three sources of errors that might be related to each other are RUSH, SENSIBLE, and MISREAD. What is the main conclusion, if these are your sources of error? a) I needed to practice more problems to get faster. b) I rushed through my test. c) I needed to be able to work problems on my own. d) I stayed up too late the night before the test. 51 4. Three sources of errors PROCEDURE, FORGOT, and UNDERSTAND might relate to …. a) Not getting a good night’s sleep the night before the test. b) Taking too much time on each problem. c) Rushing through the test. d) Insufficient learning and studying. 5. The sources of errors FORGOT, MISREAD, and TIRED can relate to… a) Not getting a good night’s sleep the night before the test. b) Taking too much time on each problem. c) Rushing through the test. d) Insufficient learning and studying. Quiz: Chapter 7 Score: _____/5 = ___________% 52 ~Chapter Eight~ Assessing Your Learning Practices, Part 3 “People applaud for success but find it hard to applaud for the process that goes behind success. Learn to applaud for your own process. Create your own Success.” ― Purvi Raniga PURPOSE: Re-evaluate current learning practices to document changes in strengths and weaknesses. Assignment: Take the Way to Succeed® Assessment #3 and Analyze Results and Corrective Actions. Video: Taking Your Third Way to Succeed® Learning Assessment Video: Understanding Your Third Way to Succeed® Results Report You have come a long way since the beginning of this class! You have undoubtedly learned a lot in this course and have discovered ways that are more efficient for making sense of the material in this class. The learning strategies you are developing can also be applied to all your classes, not just this one. The primary purpose of a third assessment is to take a picture of how you have improved over the academic term. This assessment is your opportunity to 1. Obtain a “snapshot” of your current learning practices and to see how you have changed in your approach to learning over the last several weeks. 2. Continue to improve your learning practices as you move forward as a college learner. 53 3. Recognize new areas of strength that can make your learning easier for the rest of the term and your remaining years as a college student. 4. Identify any weak areas that still need improvement so you can continue to develop new learning practices that enhance academic success. Some of the statements you will encounter in the assessment will be the same, but some will be different, based on your strengths and weaknesses for Assessments 1 and 2. You should recall some important ideas from when you took your previous assessments: • Be as honest as you can when evaluating yourself and your learning practices. You will still not be graded on your score, only that you completed the assessment and analysis assignment on time. Your results will be of no value to you if they don’t reflect your real learning behaviors. • It is a good thing that you don’t remember how you answered your questions from two weeks ago. You are a different learner now, and your learning practices are probably different than they were earlier in the academic term. • Think of the new assessment as a picture of your approach to learning after you have experienced this college-level class for seven weeks and applying the principles discovered in the analyses of your learning using the Way to Succeed© system. • Use the “Compare” graph in the Results page to see how your results have changed since the first assessment. ❽ ❽ Assignment Next 54 Assignment Chapter 8: Way to Succeed® Assessment 3 Assignment: 1. View the Video “Taking Your Third Way to Succeed® Learning Assessment.” 2. Click on the Assessment link below to begin Assessment 3. You will need your username and password. Take Assessment 3 3. Once you are done, follow the link on the end screen to see your results. View the video “Understanding Your Third Way to Succeed® Assessment Results Report” to know how to interpret your scores. 4. Look at all your scores and check out your three top scores (strengths) and three lowest scores (weaknesses) highlighted at the bottom of the results page. By clicking on the [ANALYZE] button, you can read about what your experiences might be with your strengths and weaknesses. Do these descriptions sound familiar to you? 5. To get a visual of your results, click on the GRAPH button. Here you will see your score as a dot on a modified box and whisker plot for each category. Since this is your third assessment, you can now click on the GRAPH, and then GRAPH OVER TIME button. This shows all three sets of scores. You might see that you have improved in several areas since your first and second assessments. 6. Look at the ACTIONS on the Results page. Select ONE or TWO associated actions for each of your three lowest categories you could reasonably try over the next few weeks in your math or STEM class. These Actions should make sense to you, so they will be easier to put into practice. Try your selected ACTIONS over the next several weeks that will help you become a better learner in this class. 7. Click on the ACTION PLAN button at the top of the page. You can print your Action Plan and highlight your selected ACTIONS so you can refer to your plan often during the next few weeks. Assignment: Chapter 8 Score: Completion of Way to Succeed® Assessment and Action Plan (100%) 55 ~Chapter Nine~ Finishing Strong Preparing for your Final Exams Self-discipline has a bigger effect on academic performance than does intellectual talent. ― Charles Duhigg Success is the sum of small efforts—repeated day in and day out. ―Robert Collier PURPOSE: Understand how to best approach studying for comprehensive final exams. Assignment: Quiz: Matching Quality Exam Preparation Behaviors with Practical Examples How to Prepare for your Final Exam: Most courses require you take a final exam. Usually, the exam is comprehensive. In other words, the exam covers all the material from the entire course, from the beginning of the class up until the last topic covered. Sometimes, the more current material is emphasized, but not always. Preparing for your final exam should begin about three weeks before you are scheduled to take it. Be sure to write the dates and times of your exams, materials needed, and locations of all your final exams on your calendar, and then count back about three weeks. Plan for extra study time for your exams starting that week in addition to your regular assignments and tests. Crunch time is upon you! You should expect to put in more time in your studies during the last few weeks of the term. Your best bet is to make sure you have 56 reacquainted yourself with all the content covered in your course so far, pacing your time and reviewing in short, concentrated sessions. Avoid cramming at the last minute. Procrastination and cramming adds to your anxiety and lowers your ability to maximize your performance on your exams. The organization with which you began the academic term will really start to pay off at the end of the term. You should be able to easily access and use d) Your notes e) Your assignments you already completed f) Your tests and quizzes g) Some sample finals from test banks, if available h) Any handouts, projects, or other paperwork for this class Here is a list of quality final exam preparation techniques to keep in mind as your exams get closer. 1. Collect. Gather all your tests, quizzes, and projects in one place and evaluate how well you know each component of the course. You are wise to look over everything your instructor has handed out or presented in this class, especially if there is an exam study guide. Create a section of your notebook or a special place on your computer for your tests and quizzes for each of your classes. If these are not available to you, use the end of chapter or unit section at the end of each chapter in your textbook or at the end of each unit in your online class. You might want to photocopy end-of-chapter tests from your text so that they are all in one place. 2. Don’t Cram. Decide to begin studying early so you don’t have to cram. Students who wait until the last minute to study are more stressed, remember less, and perform worse on their exams than those students who begin preparation early. 3. Plan Your Study Sessions. Divide your review into chapters or sections and schedule as many practice sessions so you can cover the whole course before the 57 scheduled exam. Plan more time to cover the more difficult topics. Stick to your plan by writing it in your calendar and following it every day. 4. Get With Others. If you haven’t already, find a group with which to study. This doesn’t mean you have to study only with this group, but a few sessions with others in the class can help answer questions you might have, and can remind you of things you may have forgotten. 5. Work Independently. Find time to study on your own as well. Group study sessions can devolve into social events. These sessions can be inefficient, and may focus on things on which you do not need to focus. Don’t depend solely on others for studying for your exam, but plan quality time to concentrate independently on what you need to be successful. Research supports the idea that putting in study time on your own improves exam scores. 6. Check Out Your Resources. Take advantage of resources on and off campus such as tutoring centers, test banks, and online instructional websites to help you through material you have forgotten. Make an appointment with your instructor for some help if you have a specific topic in mind. Your textbook (online or hard copy) is usually a great resource that you can utilize as well. 58 7. Push Yourself. Even with the best planning, the end of any term can be especially demanding and stressful. You must remember to keep up with your regular tests and assignments that are due before the exam while you are preparing for your exam. Your extra time, preparation, and effort will pay off. When you plan ahead, you reduce your stress level while maximizing your learning and recall. 8. Keep Going to Class! Continue to attend your classes regularly and keep up with your assignments. Regular attendance helps you stay involved with the current coursework and may provide important information only available in class you would otherwise miss. By keeping up with your assignments, you are making your review for the exam easier. 9. Take Practice Exams. Try to schedule a practice exam so you have a few days to focus your attention on problem areas. Studies have shown that those students who take practice exams and evaluate their results perform significantly better on their real exam. To find a practice exam, you might try your library or campus tutoring center where test banks are often housed. If a practice exam is not available, create your own using your old tests and quizzes or chapter reviews in your online or hard copy text. Your study group could also produce a common practice test for your group to use. 59 10. Get Plenty of Sleep. Your efforts will be more efficient when your mind is well-rested. Pulling all-nighters is tempting, but can actually backfire. Your brain needs time and rest to synthesize and digest what you are learning. Lack of sleep can result in poor decision-making, and can make your brain sluggish and forgetful. Do your best to stick to a sufficient and consistent sleep schedule. ❾ ❾ Assignment Next 60 Assignment 9: Quiz—Matching Ideas for Preparing for Final Exams with Examples Preview Quiz 9 below. Then click on this Quiz 9 link to access your live quiz which will be graded. You will need your username and password to access the live quiz. Quiz 9: Match the title of the top 10 ways to prepare for your exam with a practical application or example of that idea. Idea: 1. Collect Old Tests 1. _____ 2. Don’t Cram 2. _____ 3. Plan your Study Sessions 3. _____ 4. Get with Others 4. _____ 5. Work Independently Too 5. _____ 6. Check out Resources 6. _____ 7. Make an Extra Effort 7. _____ 8. Keep Going to Class 8. _____ 9. Take Practice Exams 9. _____ 10. Get Plenty of Sleep 10. _____ Quiz: Chapter 9 Score: _____/10 = _______% A. Adrienne noticed a couple of other students who attended class regularly, and decided to ask them about joining her for study sessions. B. Bob realized that with just a few weeks left in the academic term, he should work to schedule extra time and effort to preparing for his exams and cut back on other less important activities. C. Carmen set her alarm to remind her to go to bed at a regular time. Then, she was able to wake up more refreshed for her classes and had extra time during the day to study because she didn’t need a nap. D. D’Shawn gathered all the tests and quizzes he took during the academic term, hole-punched them, and put them in the back of his binder. He reviewed all the problems from these prior tests. E. Eric used his online textbook to copy and paste a practice final exam. He printed it to be able to write out his work on paper. He also found practice final exams at the tutoring center on campus. F. Francine studies by herself to make sure she can complete all the problems independently without help or hints from others. G. Gerald scheduled time to visit the on-campus tutoring center and made an appointment with his instructor to go over specific problems. H. Harriett decided to start studying for her exams early, so she didn’t have to wait until the last minute to remember everything. I. Isaac didn’t always feel like it, but he went to every class to make sure he didn’t miss any instruction or announcements about the end of the semester. J. Juana took out her calendar and wrote down a 30-minute study session every day for each class to prepare for her final exams. She knew that many short sessions were much more beneficial than one or two longer sessions. 61 ~TEN~ On the Path to Success Lessons Learned “Okay, you've got to do something very difficult. Don't focus on that. Instead break it down into pieces. Simply do what you need to do right now. And do it well. And then move on to the next thing. Follow the process and not the prize.” ― Ryan Holiday, The Obstacle Is the Way: The Timeless Art of Turning Trials into Triumph PURPOSE 1: Reflect on changes you have made to your learning practices. PURPOSE 2: Evaluate the Way to Succeed® program. Assignment: Complete the Survey: Evaluating learning progress and the Way to Succeed® program. The final chapter of the Way to Succeed© eBook gives you the opportunity to evaluate your personal learning progress, revisit your goals, and provide feedback on the Way to Succeed© program. Now that you have completed three learning assessments, you have a better idea where you began in your learning practices, what your strengths and weaknesses were, and how you have grown in these areas. Your best advantage in school and in life is still your thoughtful and conscientious approach to how you manage yourself and your learning. This is most likely the tenth week of your academic term, and a good time to reflect on your journey since the beginning early in the semester. It’s also wise to look ahead to what you still have to accomplish in this course so you can finish strong. 62 This is not the end of your improvements in learning how to learn, however. As you continue in your education, you will discover new ways to learn that increase your efficiency and your ability to understand the new material you will encounter. The important thing to remember is to keep thinking about how you can improve in your approach to learning so you can maximize your experience in college and prepare yourself well for you next phase after graduation. The following three ideas sum up what you have experienced in the past few weeks: 1. Actions change things. You have probably never worked harder or more independently in school than for your college classes. You probably have found that in order to be successful, you have to actively participate in your own learning. You cannot be only a passive observer of what goes on in class. 2. Self-initiative is key. You are your own best motivator. If you want to reach your goals, you can more easily decide what actions you need take to get there. Then take those actions! 3. Goals and planning work together. Goals and planning give you a purpose and pathway for you to follow. The goals are the end result you want, and planning will give you the day-to-day or semester-by-semester way to get there. It is up to you to set your own personal goals and to chart your steps needed to achieve your goals. ❿ ❿ Assignment Next 63 Assignment Chapter 10: Final Evaluation of Your Learning Improvements and the Way to Succeed© Learning Program You now have a chance to evaluate how you have changed as a student since beginning this class. Preview Assignment 10 below. Then click on this Assignment 10 link to access your live assignment which will be scored 100% when completed. You will need your username and password to access the live assignment. All your answers, however, will be anonymous. 1. Look at your Results page for your third assessment and click on the “Graph” button. Then select “Graph Over Time.” What is the single most improved learning practice category according to your scores in the Way to Succeed © Results page? a) Short-Term Goals b) Long-Term Goals c) Metacognition and Strategy Awareness d) Self-Awareness e) Effort and Self-Regulation of Learning f) Use of Strategies g) Obtaining Outside Help h) Planning and Organizing Study Space i) Pacing and Organizing Time 2. What evidence do you see of this in your in your studies? Select all that apply. a) I now set learning goals for each study session. b) I now think about whether or not I am learning as I am studying. c) I now organize my time so I can study more than before. d) I now set goals for my week. e) I am more aware of my learning strengths and weaknesses. (…more choices on the next page) 64 f) My skills in organizing my study materials and work space have improved. g) I know which learning strategy is most effective for any given situation. h) I consistently use learning strategies to make my learning more efficient. i) I take advantage of outside help when I need it. j) I know what I want to do for my career, and that helps motivate me to be successful. k) I have not seen any evidence of improvement in how I study. 3. Do you think your achievement in this class was improved because of the Way to Succeed® program? a) A great deal b) A lot c) A moderate amount d) A little e) Not at all 4. Did your strengths and weaknesses in your personalized Results Report accurately reflect your true learning characteristics? a) A great deal b) A lot c) A moderate amount d) A little e) Not at all 5. Did you find that the “Actions” and “Action Plan” in the Student Results Report were helpful for improving your approach to learning? 65 a) Yes, extremely helpful b) Yes, very helpful c) Yes, moderately helpful d) Yes, a little bit helpful e) No, it was not helpful 6. Were you able to use some of the learning practices and strategies you acquired in this class in your other classes? a) A great deal b) A lot c) A moderate amount d) A little e) Not at all 7. How likely are you to recommend the Way to Succeed® program to other students, especially first-year students? a) Extremely likely b) Moderately likely c) Not likely Assignment: Chapter 10 Score: Completion Grade 100% (7 out of 7) 66 Glossary The following glossary is specific to the use of these terms as related to college-level learning and the Way to Succeed learning program. These are not considered to be complete, formal definitions, but should help you understand the concept as used in this book. Academics: Formal study and learning performance under the direction of an educational institution, such as a high school, college, or university Actions: Things a person does or accomplishes over time. Behaviors. Action Plan: A formal written list of possible activities to improve learning behaviors on your Results Report for Way to Succeed® Algorithm: A logical and orderly series of steps to accomplish solving a problem Anxiety, Math: An apprehension, nervousness, and fear of learning math and math problem-solving, especially on tests. Assessment: Any test, quiz, or survey that measures understanding, knowledge, or skills Awareness: The state of understanding and knowledge about existing characteristics of a person or current situation. Background: What you bring to your class in terms of prior or prerequisite knowledge and skills Calendar: A document in which to compile all assignments, tests, quizzes, paper due dates, work schedules, and final exam times and places. An essential part of keeping track of your time when in school Cognition: Thoughts and thought processes Cognitive Psychology: The study of perception, learning, thinking, memory, and reasoning College-level Learning: The more independent, self-initiated, and intentional learning expected at the college level “Compare” Graph: A graph that shows changes between Way to Succeed® Learning Assessment scores for the second and third Learning Assessments Cramming: An inefficient method for studying involving last-minute, intense, and often late night studying immediately before a test. Distractions: Attention-getting object or amusement that can derail your intentions for studying 67 Effort: How hard you exert yourself or try to complete a task. Error Analysis: A way to study patterns of mistakes in order to identify and correct causes to prevent or minimize future errors. Face-to-Face Class: A class where students and teachers meet in the same classroom for instructional purposes, with little or no internet component Final Exam: An exam at the end of the academic term that covers all the content of the class. A final exam usually counts for more than a regular test. Fluency: Smooth, flowing, and effortless recall of math facts and step-by-step algorithms Focus: The center of your attention and concentration Formulas: A statement or equation that represents a fact, principle, or relationship Goals, Short Term: A purposeful list of tasks that a person intends to achieve or complete over a relatively brief period of time such as a day, week, or month Goals, Long Term: The future end result such as a desired skill, degree, career, or other achievement in which time and effort will be necessary to achieve Independent Learning: Self-directed learning that can be accomplished with minimal motivation and direction provided by the instructor or professor Insight: The intuitive understanding of essential truths, especially about sources of personal difficulty and understanding of one’s own behaviors and thoughts Late Work: Assignments turned in beyond the posted due date Learner Characteristics: The way a learner operates in a classroom or other learning situation. Characteristics might include attitudes, behaviors, motivations, skill sets, self-discipline, and work ethic Learning: The act of acquiring information, knowledge, skills, and experiences Learning Behaviors: The actions you could take to acquire the knowledge and information required during a learning situation. Learning Gaps: Certain concepts missed during earlier learning situations, perhaps due to absences or inadequate educational preparation or background. Learning Practices: The actions, cognitions, planning, and self-reflection used when acquiring information, knowledge, and skills 68 Learning Strategies: Specific planned methods of directing actions and cognitions that result in efficient and thorough learning LMS: Learning Management System, used as a professor-student interface for course communication Math Anxiety: see Anxiety, Math Math Facts: Basic multiplication products for the factors 0 – 12, and basic sums 1 – 20. Math Aptitude: An innate ability to perform well in math. This is not a fixed aptitude but one that can be increased. Metacognition: Thinking about your thinking, strategy use, understanding, and learning Motivation: Impetus, desire, or drive to complete a task, course, or degree. Objective: The exact concept or skill you are supposed to learn in a specific lesson or chapter. The objectives are typically found at the beginning of each lesson or chapter. Organizing Space: Keeping track of your notebook, backpack, study area, and room to be able to find things and to keep up productivity Organizing Time: Structuring your use of time during a day or week, so that you can complete all your assignments and study sessions. Pace: The rate of progress or progress on a task or the rate of problem completion on a test Partial Credit: Points awarded for correct procedures (written work) shown despite an incorrect final answer Planning: The act of setting up a schedule to complete a long-range project or goal. Setting up a series of work or study sessions over time to prepare for a major project or exam. Practice: Working through problems, math facts, or any skills needed for successful understanding and fluency of learning objectives. Process: A step-by-step sequence through which a goal is attained Resources: Any book, technology, website, organization, or person that can help you learn your course content. Responsibility: Ownership and accountability for your own education and life direction 69 Self-awareness: Understanding and acknowledgement of your own strengths, weaknesses, behaviors, and cognitions. Self-discipline: The ability to control and regulate your own actions and thoughts to improve performance or well-being Self-Initiative: Motivating oneself from within to do what you need to do without being told or forced Self-Regulation: A state of self-management of time, money, or responsibilities without the control of exterior forces Showing work: Writing the initial and intermediate steps used to come to an answer. Often receives credit if correct, even if the final answer is incorrect. Skills: An ability to use one’s knowledge and understanding to perform a task or complete a problem STEM: Acronym for Science, Technology, Engineering, and Math Stress: Pressure or force felt when intense demands for quality learning and assignments must be met with effort and exertion. Stress in college can be emotional and physical Study: Spending time and effort reading, writing, memorizing, practicing, and learning a subject Success: A satisfactory or desired grade for a test, exam, or course. Support System: Your support system at college consists of your family, classmates, professors, advisors, tutors, information specialists, and deans. Syllabus: The schedule of readings, assignments, quizzes, tests, and exams prepared for you by your professor. This important document should be kept in a safe and accessible place. Strategies, Learning: Methods by which you enhance your learning. Examples include mnemonics, targeted practice of processes, asking questions, writing down steps, discussing strategies with others, using internet resources, to name a few. Strategies, Problem-solving: Methods that can help your ability to solve problems. These include, but are not limited to writing out your work, recalling earlier problem-solving strategies, defining what you are to find, working backwards, solving a simpler but similar problem, reaching out to on-campus or online resources. 70 Strategies, Test-taking: Approaching testing with a set of priorities to achieve the best score possible. See Chapter 6 for some ideas for these. Test: See “Assessment” Test Banks: A collection of previously given tests. Test banks are useful for knowing what to expect on an upcoming test, provide a good, realistic practice test, and help you know what you need to work on to maximize your test score. Time Management: Planning and organizing your schedule, and implementing your plan so that all your tasks and responsibilities fit into your day. Tutor: A personal teacher to help you understand class objectives. Free tutors can be found at the math help center on your campus. Online tutors often charge an hourly rate to help you.