Guidelines for the Math 110 Instructor (to be implemented Fall, 2010) Catalog Description: The first course of a two-part sequence that meets the requirements for state certification in elementary teaching. Problem solving and mathematical reasoning are main threads throughout the course. The course content includes: whole numbers, integers, rational numbers, sets, functions, reasoning, numeration systems and number theory. Course pedagogy involves students as active participants in the learning process. The two-course sequence, Math 110/113 fulfills the Illinois Transferable General Education Core Curriculum requirement only for students seeking state certification as elementary teachers or special education teachers. Prerequisites: Grade of C or better in Math 098 or appropriate placement test score; and grade of C or better in Math 097 or grade of C or better in two semesters of high school geometry or appropriate score on the geometry placement test. Student Materials: Billstein, Libeskind & Lott. A Problem Solving Approach to Mathematics for Elementary School Teachers; 10th Edition. Addison Wesley Publishers, 2010 ISBN:9780321570550 (Requried). Levy; Student’s Solution Manual ISBN:978032156927 (Optional) MyMathLab (Optional) Course Outline: 1. Problem Solving 2. Numeration Systems and Sets 3. Whole Numbers and their Operations 4. Algebraic Thinking 5. Integers and Number Theory 6. Rational Numbers as Fractions 7. Decimals and Real numbers Learning Outcomes: 1. Gain knowledge and understanding of the mathematical content that is taught in elementary schools. 2. Solve problems and analyze solutions using a variety of problem-solving strategies including set theory and logical reasoning. 3. Develop an appreciation of and interest in the history, structure and applications of mathematics. 4. Relate number theory to other mathematical concepts such as fractions and decimals. 5. Analyze articles from professional journals and publications in the field of elementary school mathematics. (0ptional) Guidelines for Instructors of Math 110 The following sections should be covered in class: Chapter 1: An Introduction to Problems Solving – Section 1.1 and 1.2 and give an overview of section 1.3 Chapter 2: Numeration Systems and Sets – Sections 2.1, 2.2 and 2.3 Chapter 3: Whole Numbers and Their Operations – Sections 3.1, 3.2, 3.3, 3.4 and 3.5 Chapter 4: Algebraic Thinking – Sections 4.1, 4.2 and 4.3 Chapter 5: Integers and Number Theory – Sections 5.1, 5.2, 5.3, 5.4 and 5.5. Section 5.6 is optional Chapter 6: Rational Numbers as Fractions – Sections 6.1, 6.2 and 6.3 Chapter 7: Decimals and Real Numbers – Sections 7.1, 7.2, 7.3 and 7.4. Omit section 7.5 Chapter 8: Proportional Reasoning, Percents and Applications – Section 8.1 if time permits Optional Math 110 Project: Reflection Paper on Chapter 3 of Knowing and Teaching Elementary Mathematics by Liping Ma 1. Six copies of Knowing and Teaching Elementary Mathematics are available for you in the ECC library. This is an excellent text offering an in-depth study of specific topics taught in elementary mathematics. You are only required to read the Introduction and Chapter 3. I encourage you to read the remainder of the book because it’s enlightening. 2. Write a guided reflection of chapter 3. In your reflection paper include the following: Give a brief summary of the reading Explain why the US teachers were less successful Which computational model would you use? Justify your choice Write your own story problem to represent the division problem 1¾ ½ What are your personal thoughts about this reading? How it will influence the way you teach? 3. Your paper should not exceed 5 pages typed, 10-12 font, double-spaced.