Section: 5990 Instructor: Meredith LaFlesh Office: 9-55 Math& 132 Syllabus, Spring 2011 Math for Elementary School Teachers 2 Time: 11:30 to 12:50 MWF Location: 19-010 E-mail: mlaflesh@tacomacc.edu Phone: (253) 460-4337 Office Hours: Daily 10:30 to 11:15, and by appointment. Course Overview: Welcome to Math 132! You have chosen one of the most rewarding professions in the world! This class will introduce you to mathematics that you may not have learned before, but you will need it to be successful in teaching your future elementary students. Course Description: A course for prospective teachers focusing on the mathematics underlying modern elementary school math curricula. Topics include geometry, measurement, probability, and statistics. Emphasizes deep conceptual understanding, problem solving and communication of mathematical ideas. Instructional Methods Used: This is an interactive class. You will work in small groups and use manipulatives frequently. Writing explanations of mathematical processes will help you solidify your understanding. Learning Objectives: College-wide Learning Outcomes: Tacoma Community College has identified five college-wide learning outcomes that form the foundation of our educational emphasis: Communication (COM), Critical Thinking and Problem Solving (CRT), Responsibility and Ethics (RES), Information & Information Technology (IIT), and Living and Working Cooperatively/Valuing Differences (LWC). Course Objectives: After completing this course the student will be able to: 1. Interpret statistical graphs. (COM, CRT, IIT) 2. For a given set of data, determine appropriate graphs and construct graphs. (CRT, IIT) 3. Give examples of ways that graphs can be deceptive. (COM, CRT, RES, IIT) 4. Describe ways in which bias can be introduced in sampling. (COM, CRT, RES, IIT) 5. Distinguish between experimental and theoretical probability. (CRT) 6. Compute probabilities for events with equally likely outcomes. (CRT) 7. Construct probability tree diagrams and apply the additive property and the multiplicative property in complex experiments. (CRT) 8. Give analytical descriptions of various types of triangles, quadrilaterals, and other polygons and their parts. (CRT) 9. List several properties common to various types of triangles and quadrilaterals and explain relationships among general types. (CRT) 10. Give abstract descriptions and properties of common geometry terms. (COM, CRT) 11. Describe the basic geometric transformations. (COM, CRT) 12. Describe the English system and the metric system of measure and perform conversions both within and between the systems. (COM, CRT) 13. Find perimeter, area, surface area and volume of a geometric figure. (CRT) 14. Show how to derive and apply area formulas to find the areas of common geometric shapes. (CRT) 15. Communicate mathematical information dealing with statistics, probability, and geometry formally, using appropriate math notation and terminology, and informally, using everyday language to express ideas. (COM, CRT) 16. Gain understanding of both theory and applications from reading a mathematics textbook. (CRT, COM) 17. Appropriately use technology to analyze and solve mathematical problems dealing with statistics, probability and geometry. (COM, CRT) 18. Work collaboratively with classmates to achieve the above objectives. (LWC) 19. Relate the NCTM standards, Washington EALRs (Essential Academic Learning Requirements) strands to the mathematical content of this course. (COM, CRT) Required Text: Mathematics for Elementary Teachers: A Conceptual Approach. 8th edition by Bennett and Nelson. Calculator: A scientific calculator is required. The TI-30XII is strongly recommended. You are responsible for knowing how to operate it. Caoculators on cell phones, graphing calculators, and calculators with symbolic manipulation capability are not allowed on in-class activities. Required Supplies: colored pencils (markers or crayons), scissors, protractor, and 12-inch ruler. 1 Class Rules Each person in this class is entitled to respect. It is important to me that you show respect for your fellow students and for the learning process. These rules are designed to ensure that all students get the respect they deserve and the learning they have paid for. 1. When one person is talking, please listen quietly. 2. Please turn off your cell phone, pager, etc. before class begins, as the noises they make distract people who are trying to learn. 3. Please do not engage in disruptive behaviors (unacceptable talking, arriving late, leaving during class, etc.). The first time, you will receive a verbal warning. The second time, you will be required to leave class. You may not return to class until you have made an appointment with me, and we have come to an agreement as to how to better support learning in the class. Assignments missed because of behavior cannot be made up. 4. If you intend to bring people (especially children) who are not enrolled to class, you must get permission from the instructor first, and the visitors must follow all class rules. 5. You are welcome to bring food and beverages to classes held in most buildings on campus as long as you do not distract other students and you clean up after yourself. 6. Attendance is especially important in this class. Much of the learning can only occur through classroom discussion and activities. While emergencies do occur, for the sake of your future students, please be in class whenever possible. 7. Come to class on time. Arriving late to class distracts your fellow students and disrespects the learning process. 8. Late work not be accepted. As dedicated educators, you must be prepared and punctual. If you are late (even one second), your work will be late. 9. TCC e-mail accounts are provided for each student. You can check your TCC e-mail from any computer on campus as well as from any off-campus computer that has access to the Internet. You should check your e-mail at least once a day because I will use your TCC e-mail account to send you class assignments and information. If class is canceled due to weather, or if I will not be able to attend class due to illness, I will e-mail you no later than 7:30am. I will also occasionally send information about scholarships and other things I think you could use, but I will never send spam. 10. Cheating is unacceptable. As stated in the TCC catalog: “students are expected to be honest and forthright in their academic endeavors. Cheating, plagiarism, fabrication, or other forms of academic dishonesty corrupt the learning process and threaten the learning environment for all students.” Students who engage in behaviors that may be interpreted as cheating will receive a zero score on the assignment in question. A second offense will result in an “E” course grade. Common "cheating" behaviors include communicating with another person while an exam is going on in the room, using notes, cell phones, or other resource material not specifically allowed during an exam, copying or allowing another student to copy work at any time, and presenting another person’s work as your own. It is your responsibility to be honest and to appear honest. 2 General Information Students with Special Needs: All students are responsible for all requirements of the class, but the way they meet these requirements may vary. If you need specific academic auxiliary aids or services due to a disability, please contact the Access Services Office in Building 7 (253) 566-5328. They will require you to present formal, written documentation of your disability from an appropriate professional. When this step has been completed, arrangements will be made for you to receive reasonable auxiliary aids or services. The disability accommodation documentation prepared by Access Services must be given to me a minimum of one week before the accommodation is needed so that appropriate arrangements may be made. Withdrawing From The Class: If you decide for any reason to stop attending class, you should withdraw. It is your responsibility to withdraw yourself. No one else can do it for you. This may allow another student who wants to take the class to enroll. If you do not withdraw yourself, you will receive a “V” or an “E” grade for the class. For Help With Homework The Al-Kwarizmi Math Advising and Resource Center: The Math Center is located in 19-22. Math instructors are available to help with math questions 8:30am-1:30pm Monday through Friday and 5:308:30pm Monday through Thursday. Tutors are available Monday through Thursday from 7:00am to 9:00pm and Friday from 7:00am to 2:30pm. For best results, bring specific questions or problems you are working on to ask about. Even if you do not have any problems, the Math Center is a pleasant place to study. You are always welcome there! The Tutoring Center: The Tutoring Center is located in building 7, room 20. Student tutors are available by appointment for one-on-one tutoring. The hours during which tutoring is available in specific subjects may vary from quarter to quarter. Call the Tutoring Center at (253) 566-6032 to find out what their current schedule is. Drop-in tutoring is available Fridays from 1:00 to 4:30. The Open Door Policy: I want you to get the help you need when you need it. If my door is open, please come in, sit down, and tell me what I can do for you. I am, of course, always available during my scheduled office hours. Helpful Websites Meredith’s webpage: www.tacomacc.edu/home/mlaflesh The textbook site: www.mhhe.com/bbn 3 Grading System: Letter grades will be assigned based on the following: Percent Letter Percent Letter Grade Grade 87 – 89 B+ 93 - 100 A 83 – 86 B 90 – 92 A80 – 82 B- Percent Letter Grade 77 – 79 C+ 73 – 76 C 70 – 72 C- Percent Letter Percent Letter Grade Grade 67 – 69 D+ 63 – 66 D 0 – 59 E 60 – 62 D- Satisfactory/Unsatisfactory Grade: A grade of "Satisfactory" will only be given for grades of D or above (that is, 63% or above). If you are planning on taking another math class for which this course is a prerequisite, you must receive a C- or above (that is, 70% or above) to go on. A "Satisfactory" will not be sufficient to get you into the next class. A grade of Incomplete, I, will be given only in emergency situations, at the instructor’s discretion, and only if at least 75% of the work has been completed with a passing grade. A grade of WI is given at the instructor’s discretion when a student has completed all assigned work and is forced, due to circumstances beyond her control, to withdraw from class after the 50th day of the quarter. A grade of V is given to a student who has attended class at least once and stops attending before doing enough work for the instructor to evaluate the student’s performance. A grade of Z is given to a student who has never attended class. Grades: Your final grade will be determined by your performance on the following graded events: 2 Exams 100 points each 1 Project 100 points each Final Exam 200 points Class Participation 5 to 20 points each Homework 10 points each All work that is not word-processed must be in pencil! Exams: Each exam is comprehensive and may cover material from previous chapters; however, most of the material tested will be from the most recently covered topics. There are no make-up exams. If you must miss an exam due to an emergency, you must leave a message on my voice mail or send me an e-mail explaining the reason for missing the exam before the time of the exam. If I agree that it is an emergency, I will then give you 95% of your final exam percentage for the exam you missed. A second missed exam will result in a 0 grade. Graphing calculators and calculators with symbolic manipulation capability are not allowed on exams. Final Exam: The final exam is comprehensive and will assess your mastery of course objectives. Substituting the Final Exam grade for the course grade: If you complete all projects and exams and miss no more than one class participation event, earn at least 80% of the possible homework points, and earn a final exam score that is higher than your computed course grade, I will assign your final exam score as your course grade. 4 Study Groups: Students who score in the top 10% of the class on the first exam may be invited to be Study Group Leaders. Study Group Leaders will hold a 1-hour study session at a regularly scheduled time once a week on campus. Students wishing to participate in a study group will choose a Study Group Leader. The groups will meet together regularly to study, work homework problems, etc. Skipping the Final Exam: Each Study Group Leader who (1) meets the requirements for substituting the final exam grade for the course grade, (2) maintains a 90% course average, and (3) conducts a 1-hour study group session and turns in an attendance report each week will not have to take the final exam. Project: All answers to questions and explanations in the project must be written in complete, correct English sentences. Part of the grade will be based on correct use of the English language. The project must be word-processed. Class Participation: Small group activities and pop quizzes will earn you class participation points. Pop quizzes are essentially free points for students who arrive ready to work on time, stay until the end of class, and attend regularly. Pop quizzes may be given at any time during the class period. There is no way to make up lost participation points. Extra Credit Extra credit will appear online the weekend after you earn it. 1. You earn one point for every hour you study with a designated Study Group Leader (maximum of 2 points per week). You must sign in with the Study Group Leader each time you attend. 2. You may earn extra credit by volunteering to do homework problems on the board if you have already done the problems and have your solutions with you. Getting Your Grade: After the first weekend, you can check your grade regularly on-line by following these directions. Log in to the MyTCC Portal at http://my.tacomacc.net and select the “My Classes” tab. Next to the listing for this class, you should see an OIS icon that looks like this: When you click on the icon, a new window will open with a “Grade Book” link that will show you your grades for this class. If you find an error, you have two weeks from the day the assignment was recorded to bring it to my attention. Chain of Command: If you have questions or complaints about your grade or any other aspect of the class, please follow the steps below: 1. See me and present your case in a professional, unemotional manner. I am always willing to listen to a good argument. If I am wrong, I will admit it. If you are not satisfied, go to step 2. 2. See the Mathematics Department Chair, Valerie Morgan-Krick, Building 20. If you are still not satisfied, go to step 3. 3. See the Dean of the Science Division, Mike Flodin, Building 29. 5 Standards for Written Work You should read each assigned section in the text thoroughly. You are responsible for all the material in these sections, whether it is covered in class or not. Expect to work on homework outside of class two to three hours per hour spent in class. Homework must be turned in on paper unless otherwise specified. There will be two types of homework assignments for this class. 1. I will give short, written assignments from time to time. a. Written assignments must be word-processed. b. Late work will not be accepted for any reason. 2. I will assign problems from the book every class day. I will not collect these, but I will base homework quizzes on them. a. See below for standards for the quizzes. b. Quizzes cannot be made up for any reason, no matter how good the reason is. Since I know that there are sometimes circumstances that are beyond your control, I drop the lowest homework score. I expect a professional job. Work must be done in pencil. Work must be neat. (The instructor’s aesthetics are the criteria for neatness.) When you have used a calculator to solve the problem, a description of all steps needed to complete the problem, not calculator key strokes, as well as a clear statement of the solution must be included. Abstract, symbolic problems (problems that do not involve words) must have all work shown vertically in columns with at least one inch of blank space between the columns. 54 Fractions and rational expressions must be written vertically, like this or 31 9 x2 . x3 Problems requiring explanations must include complete explanations in complete sentences. “Yes” and “No” are not complete explanations. For applications, a narration of all steps needed to complete the problem as well as all supporting work must be included. All problems that involve graphs must be on graph paper. That is, the problem, the work needed to graph the equations, and the graph must be on the same page. The words “see graph” are not acceptable. See the following page for Graphing Guidelines. 6 Graphing Guidelines The following requirements are those of the TCC Mathematics Department and your instructor. AXES: 1. Axes and any straight lines are drawn with a straight edge. 2. If either axis requires a scale other than one square = one unit, both axes must have the scale clearly indicated. 3. Axes are labeled with appropriate letters and with the meaning and units of the axis. (See Graph B.) ACCURACY: 1. Graph paper is used. 2. If the graph of a function continues infinitely, the ends of what is drawn must have arrows (see Graph A). If a graph terminates, the ends will have closed circles or dots (see Graph B). 3. The vertex of a parabola is rounded, not pointed. (See Graph C). 4. Asymptotes are drawn with a dashed line. Graphs approaching asymptotes appear to get closer and closer, not touching the asymptote and not pulling away from the asymptote. (See Graph D.) CLARITY: 1. The coordinates of important points: intercepts, maximum or minimum points, vertices, and points of intersection, are clearly labeled on the axes or the point itself is labeled with an ordered pair. 2. If multiple equations are graphed on a single set of axes, each graph is labeled with its equation. 3. Separate problems should be graphed on separate axes. 4. Each graph is neat, big, and dark enough to be easily read and understood. 7 Tentative Course Schedule Check the website www.tacomacc.edu/home/mlaflesh for problems to turn in. Date March 28 March 30 April 1 April 4 April 6 April 8 April 11 April 13 April 15 April 18 April 20 April 22 April 25 April 27 April 29 May 2 May 4 May 6 May 9 May 11 May 13 May 16 May 18 May 20 May 23 May 25 May 27 May 30 June 1 June 3 June 6 June 7 Tuesday Topic Introduction Statistics Statistics Statistics Statistics Statistics Statistics Statistics Professional Development Day – No Class Probability Probability Probability Probability Probability Project Day – No Class Exam 1 Geometric Figures Geometric Figures Geometric Figures Geometric Figures Geometric Figures Geometric Figures Measurement Measurement Measurement Measurement Exam 2 Memorial Day – No Class Congruence Mappings Congruence Mappings Review Assignment Final Exam 11:30 to 1:30 8