Morehead State University Professional Education Unit College of Science and Technology Department of Mathematics and Computer Science Math 231-001 and 231-001L: Mathematics for the Elementary Teacher I (face-to-face) Fall 2013 8:00–10:10 MW LA 226 Instructor: Office: E-mail: Office hours: Christie A. Perry, Ph. D. Office Phone: Lappin Hall 201E Home Phone: c.perry@moreheadstate.edu MTW 10:20 – 11:50, T 1:30 – 3:00, and by appointment. (606) 783-2935 (606) 683-4391 Catalog Course Description: Number systems, primes, and divisibility; fractions; decimals; real numbers; algebraic sentences. Successful completion of a basic skills exam in mathematics is required for credit in this course. Designed for preservice teachers P-9. Prerequisite: Completion of a general education required core course in mathematics. Required Text: Bennett, Albert B., Jr. & Nelson, L. Ted (2010). Mathematics for Elementary Teachers: A Conceptual Approach (9th edition). New York: McGraw-Hill. Required Field Experience: Not Applicable. “Community Engagement: A Light to and From the Mountains” The Professional Education Unit in the Department of Mathematics and Computer Science at Morehead State University delivers rigorous, high quality programs and courses that prepare professionals informed by NCTM and MAA standards- preparing professionals to improve the schools, quality of life, and the communities in which they live and serve. This statement is not only the strategic mission for the department, but it also incorporates the conceptual framework that guides its activities. Conceptual Framework Outcomes (CFO) The Unit and the faculty within individual programs assess the degree to which its graduates: 1) Master the content knowledge, professional and the twenty – first century skills need to make an optimal contribution to “whole” student learning in education settings. 2) Are competent in the collection and use of data to inform decision – making and to demonstrate accountability for student learning. 3) Demonstrate professional dispositions 4) Are culturally competent and understand the regions from which they have come utilizing knowledge and experiences to effectively “bridge the gaps” (economic, achievement, and geographic) ensuring optimal learning for all students. 5) Engage in authentic field experiences in collaboration with committed school – based partners and are empowered to improve the quality of education throughout this region and beyond. Student Learning Outcomes (SLO) This course is the first of a two-semester sequence for prospective teachers of elementary school mathematics. The primary goal of these two courses is to prepare the prospective teacher with sufficient understanding of concepts and procedures of elementary mathematics so that s/he can design mathematical environments where students construct knowledge and develop skills in mathematics. The content of this particular course includes a great deal of the content of the mathematics program of the elementary grades primarily in the Big Ideas of Number and Operations and Algebraic Thinking. Thus, it is expected that students in this course already have a working knowledge of the concepts explored. We will explore the concepts in more depth and make connections among the mathematical ideas. MATH 231’s learning goals integrate the following National Council of Teachers of Mathematics (NCTM) standards. Students will be able to: 1. Build new mathematical knowledge through problem solving. 2. Select and use various types of reasoning and methods of proof. 3. Communicate mathematical thinking coherently and clearly to peers, professors, and others. 4. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. 5. Use of multiple representations to model and interpret physical, social, and mathematical phenomena. 6. Demonstrate skills, explain concepts, and justify generalizations in the content area of Number and Operations. 7. Demonstrate skills, explain concepts, and justify generalizations in the content are of Algebraic Thinking. Technology Requirements: Access to the Internet is required. Assignments and announcements will be posted on Blackboard. Some assignments will require the use of computers, computer software, and the Blackboard site. NOTE: This is a NO CALCULATOR class. Basic Skills Test: There is a basic skills test with this course. The test measures paper/pencil skill at basic mathematics including addition/subtraction/multiplication/division of whole numbers, decimals, fractions, and integers as well as ideas regarding factors, multiples, equivalent fractions, and percents. In order to pass the course you must pass the basic skills test with 80% proficiency rate. The test will be given to the class on Friday, Sept. 6, 2013, 8:00 am. If you do not pass you will need to sign up for a time with me to retake the test. You may take the test 3 times. I will be glad to hold remediation sessions for groups of students or individuals as needed. The test must be passed prior to finals week to receive credit in this course. Your score on the test will not be figured into your grade for the course. Course Evaluation: Course evaluation will include a variety of assignments including tests, quizzes, projects, in class activities, and homework. Grading will be based on the usual scale: 90% and above – A, 80% - 89% B, 70% - 79% C, 60% - 69% D, and below 60% E. To determine the final grade the assignments are weighted as follows: Tests: 35% Quizzes: 10% Projects/Other writings or readings: 20% Homework/Class Activities: 15% Final Exam: 20% Explanations of assignments are given in the following two tables. NCATE/EPSB Accreditation Alignment of CFO's and SLO's Program: Mathematics for Elementary Teachers I Aligned with Assessment (point values) Kentucky Teacher Standards (KYS) [ Tests, 3@100 pts each, 35% of grade ] CFO: 1 SLO: 1, 2, 3, 4, 5, 6, 7 1 [ Quizzes, point values vary, 10% of grade ] CFO: 1 SLO: 1, 2, 3, 4, 5, 6, 7 1 [ Project – Patterns Project, 100 pts.] CFO: 1 SLO: 1, 3, 4, 5, 7 1 [ Project – I Have Who Has/KCAS Project, 100 pts. ] CFO: 1, 3, 4 SLO: 1, 3, 4, 5, 6 [ Project – Journal Article, 100 pts. ] CFO: 1, 3 SLO: 1, 2, 3, 4, 5, 6 [ Homework & Class Activities, Kentucky Core Academic Standards (KCAS) Educati on Profess ional Standa rds Board (EPSB) NCTM NCATE Counting and Cardinality Number and Operations in Base Ten Operations and Algebraic Thinking Expressions and Equations The Number System Functions Creating Equations Reasoning with Equations and Inequalities Building Functions Interpreting Functions Linear, Quadratic and Exponential Models Counting and Cardinality Number and Operations in Base Ten Operations and Algebraic Thinking Expressions and Equations The Number System Functions Creating Equations Reasoning with Equations and Inequalities Building Functions Interpreting Functions Linear, Quadratic and Exponential Models Operations and Algebraic Thinking Expressions and Equations 1, 2, 3, 4 1, 2, 3, 4, 5, 6, 9, 10 1 1, 2, 3 1, 2, 3, 4, 5, 6, 9, 10 1 2, 3 1, 2, 3, 5, 9, 10 1 1, 2, 3, 4, 6, 8 Counting and Cardinality Number and Operations in Base Ten Operations and Algebraic Thinking 1, 2, 3 1, 3, 4,5, 6, 8, 9 1 1, 7 Number and Operations in Base Ten Operations and Algebraic Thinking 1, 2, 3, 4 1, 2, 3, 4, 5, 7, 8, 9 1 1, 8 Counting and Cardinality Number and Operations in Base Ten 1, 2, 3 1, 2, 3, 4, 5, 6, 9, 10 1 Each homework is 25 pts, Class activity points vary, 15% of grade ] CFO: 1 SLO: 1,2,3,4,5, 6, 7 [ Final Exam, 100 pts, 20% of grade] 1 CFO: 1 SLO: 1, 2, 3, 4, 5, 6, 7 Reading Guides, 0 points, 0% of grade CFO: 1 SLO: 1,2,3,4,5, 6, 7 1, 8 Operations and Algebraic Thinking Expressions and Equations The Number System Functions Creating Equations Reasoning with Equations and Inequalities Building Functions Interpreting Functions Linear, Quadratic and Exponential Models Counting and Cardinality Number and Operations in Base Ten Operations and Algebraic Thinking Expressions and Equations Ratios and Proportional Relationships The Number System Functions Creating Equations Reasoning with Equations and Inequalities Building Functions Interpreting Functions Linear, Quadratic and Exponential Models Counting and Cardinality Number and Operations in Base Ten Operations and Algebraic Thinking Expressions and Equations The Number System Functions Creating Equations Reasoning with Equations and Inequalities Building Functions Interpreting Functions Linear, Quadratic and Exponential Models 1, 2, 3 1, 2, 3, 4, 5, 6, 9, 10 1 1, 2, 3 1, 2, 3, 4, 5, 6, 9, 10 1 Assignment Descriptions Program: Mathematics for Elementary Teachers I Assessment (point value) Description Test 1, 100 pts. Chapters 1 & 2 Test 2, 100 pts. Chapter 3 Test 3, 100 pts. Chapter 4 & 5 Final Exam, 100 pts. Chapter 6 and also cumulative over Chapters 1-5 Quizzes, pt. values vary 5 quizzes will be given during the semester. The content of these quizzes varies. They will be announced. Patterns Project, 100 pts. In this project you will explore number patterns. You may work individually or with one or two others. I Have Who Has/KCAS-M Project, This is a group project. Your group will be develop a classroom 100 pts. game using content from the Kentucky Core Academic Standards in Mathematics. Journal Article, 100 pts You will read an article from the journal Teaching Children Mathematics and answer a set of questions related to this article. You will discuss the article via Blackboard and write a reflection paper. Homework, 25 pts. each Homework assignments are posted on Blackboard and consist of reading the section and solving 5 problems for each assignment. The problems are graded according to a rubric that is posted on Blackboard. Due dates will be announced. You may be asked to present solutions to homework problems to the class. Students who practice by working through the homework do better on the tests. Working through mathematics on your own outside of class is essential to your success. Homework is due at the beginning of the class; late work is not accepted. Being absent from class is no excuse for not turning in homework on time. I will drop your lowest homework grade. Class activities, pt. values vary The course will build an understanding of the mathematical concepts by studying multiple representations of mathematical ideas and making mathematical connections through the use of activities and manipulatives. The inquiry-based, active approach is used not only to enhance content understanding but also to model appropriate pedagogical techniques suggested by current theories of learning and best practices. These activites are integral to learning and can not be made up if you miss class. I will drop your lowest class activity grade. Reading Guides, 0 pts. The reading guides are a formative self assessment to help you read and understand the material, and they will not be taken up and graded. They are posted on Blackboard along with answer keys. You are strongly encouraged to complete the reading guide as you read the chapter sections and check your responses with those on the key. If you have questions about the reading guide questions or solutions you may ask them in class when we go over the homework for that section. There may be questions on the quizzes and tests that relate to the reading guides. Fall 2013 Tentative Daily Schedule Date Topic Mon. 8/19 Wed. 8/21 Mon. 8/26 Wed. 8/28 Mon. 9/2 Wed. 9/4 Introduction, Section 1.1: Problem Solving Sections 1.1 & 1.2: Problem Solving, Patterns Section 1.2: Problem Solving, Patterns Section 1.3: Problem Solving with Algebra No Class – LABOR DAY Section 2.1: Sets and Venn Diagrams Fri. 9/6 Mon. 9/9 Wed. 10/23 Mon. 10/ 28 BASIC SKILLS TEST Section 2.1: Sets and Venn Diagrams Section 2.2: Functions & Graphs Section 2.2: Functions & Graphs Test 1 Section 3.1 (bring Base 5 blocks): Numeration Systems Section 3.1 & 3.2 (bring Base 5 blocks): Numeration Systems, Addition & Subtraction Section 3.2 (bring Base 5 blocks): Add. & Subt. Section 3.3 (bring Base 10 blocks): Multiplication Lets Play Games! (KCAS Game Project) Section 3.3 & 3.4 (bring Base 10 blocks): Multiplication, Division Sections 3.4: Division Section 3.4: Exponents Test 2 Section 4.1 (bring Base 10 blocks): Factors & Multiples Sections 4.1 & 4.2: Factors & Multiples, GCD & LCM Section 4.2: GCD & LCM Wed. 10/30 Mon. 11/4 Section 5. 1: Integers Section 5.2 (bring Fraction Bars): Fractions Wed. 11/6 Section 5.3 (bring Fraction Bars): Operations with Fractions Section 5.3: Operations with Fractions NO CLASS – MPATE Day Test 3 Section 6.1 (bring Decimal Squares): Decimals and Rational Numbers Section 6.2: Operations with Decimals NO CLASS – Thanksgiving Holiday Section 6.3: Ratio & Percent Section 6.4: Irrational & Real Numbers Final Exam – 8:00 am Wed. 9/11 Mon. 9/16 Wed. 9/18 Mon. 9/23 Wed. 9/25 Mon. 9/30 Wed. 10/2 Mon. 10/7 Wed. 10/9 Mon. 10/14 Wed. 10/16 Mon. 10/21 Mon. 11/11 Wed. 11/13 Mon. 11/18 Wed. 11/20 Mon. 11/25 Wed. 11/27 Mon. 12/2 Wed. 12/4 Tues, 12/10 Assignments Patterns Project Assigned HW 1.1 due Quiz 1.1 & 1.2 Patterns Project due; HW 1.2 due HW 1.3 due HW 2.1 due KCAS Game Project Assigned HW 3.1 due Quiz 3.1 & 3.2 HW 3.2 due Quiz Mult. & Div., HW 3.3 due Journal Article Assigned Blackboard Discussion Board Closed; HW 4.1 due Quiz 4.1 & 4.2; HW. 4.2 due Journal Article Assignment Due; HW 5.1 due Quiz 5.1 & 5.2; HW 5.2 due HW 5.3 due HW 6.1 due Attendance and Class Participation: You are expected to attend every class and arrive on time prepared to participate. This includes a willingness to share your ideas and solutions with the class. You may be called upon to present these ideas and solutions. Attendance and class participation are necessary for success in this class; In class activities can not be made up. You will lose these points if you miss class. A student with a valid excuse (verification required) for missing a test must notify the instructor prior to the test in order to schedule a make-up of the test. Late homework is not accepted. If you are going to miss class you should make arrangements to get the homework turned in the day it is due. Help I will be glad to help. Come to see me anytime during my office hours or schedule an appointment. Free tutoring is available from the Academic Services Center, in 208 Allie Young. Please call 783-5200 to make an appointment. Form a study group with other students in the class. Remember, if you get stuck, seek help. Do not wait until it is too late! The last day to drop a class with a grade of “W” is Friday, November 1, 2013. Academic Honesty Cheating, fabrication, plagiarism or helping others to commit these acts will not be tolerated. Academic dishonesty will result in severe disciplinary action including, but not limited to, failure of the student assessment item or course, and/ or dismissal from MSU. If you are not sure what constitutes academic dishonesty, read the Eagle: Student Handbook or ask your instructor. An example of plagiarism is copying information from the internet when appropriate credit is not given. The policy is located at http://morehead-st.edu/units/studentlife/handbook/academicdishonesty.html Americans with Disabilities Act (ADA) In compliance with the ADA, all students with a documented disability are entitled to reasonable accommodations and services to support their academic success and safety. Though a request for services may be made at any time, services are best applied when they are requested at or before the start of the semester. To receive accommodations and services the student should immediately contact the Disability Services Coordinator in the Office of Academic and Career Services, 223 Allie Young Hall, 606-7835188, www.moreheadstate.edu/acs/ Campus Safety Statement Emergency response information will be discussed in class. Students should familiarize themselves with the nearest exit routes in the event evacuation becomes necessary. You should notify your instructor at the beginning of the semester if you have special needs or will require assistance during an emergency evacuation. Students should familiarize themselves with emergency response protocols at http://www.moreheadstate.edu/emergency The instructor reserves the right to alter this syllabus at anytime during the course of the semester, with due notice being given to the class.