MAT 107 Math for Elementary School Teachers: Real Numbers

This is a sample syllabus only. Ask your instructor for the official syllabus for your course.

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Course Description

This course is designed for prospective elementary school teachers.

Sets and set theoretic operations as related to counting numbers and rational numbers and arithmetic operations. Real number system and its origin, development, structure and use. Special emphasis on problem solving and the development and application of algorithms.

MAT 107 meets for three hours of lecture per week.

Prerequisites

Students must have satisfied the ELM requirement before enrolling in MAT 107.

Objectives

After completing MAT 107 the student should be able to

successfully engage in mathematical problem-solving and algebraic thinking
understand basic properties of numbers: the commutative, associative and distributive laws, etc. and their use in elementary arithmetic.
understand place value and its relationship to whole number and decimal number algorithms
exhibit a conceptual understanding of standard algorithms for adding, subtracting, multiplying, dividing, and raising to a power rational numbers, decimals and integers
understand exponents and the laws of exponents
understand ratios and proportions and their applications and engage in proportional reasoning
understand percentages as proportions and as decimals and apply them in practical problems
understand prime numbers and composites, divisibility, least common multiples and greatest common factors , and their applications in arithmetic and elementary problem solving
understand basic concepts of algebra, functions, and set theory
demonstrate skill in computing and solving problems accurately
demonstrate skill in mathematical reasoning, in explaining mathematical procedures and results.

Expected outcomes

Students should be able to demonstrate through written assignments, tests, and/or oral presentations, that they have achieved the objectives of MAT 107.

Method of Evaluating Outcomes

Depending on the instructor, evaluation may be based on homework, class participation, short tests, scheduled examinations, journals, and portfolios covering students' understanding of problem-solving; place value; algorithms; rational numbers, decimals and integers; exponents; proportions and percentages; and primes, composites, least common multiples, and greatest common factors; and related topics that are covered in MAT 107.

Text

Mathematics for Elementary Teachers: A Contemporary Approach (5th edition), by Gary Musser and William Burger.

Chapter 1-Introduction to Problem-Solving
Chapter 2-Sets, Whole Numbers, and Numeration
- Sets and Whole Numbers
- Whole Numbers and Numeration
- Hindu-Arabic and Other Number Systems
- functions
Chapter 3-Whole Number Operations
- Addition, Subtraction, Multiplication, and Division
- Ordering and Exponents
Chapter 4-Whole Number Computation: Mental, Electronic, and Written
- Mental Math, Estimation and Calculators
- Written Algorithms for Whole Number Operations
Chapter 5-Number Theory
- Primes, Composites, and Tests for Divisibility
- Counting Factors, Greatest Common Factor, and Least Common Multiple
Chapter 6-Fractions
- The Set of Fractions
- Operations on Fractions both conceptually, and algorithmically
Chapter 7-Decimals, Ratio and Proportion, and Percent
- Decimals and their Operations
- Ratio and Proportion
- Percents
Chapter 8-Integers
- Concepts of addition, subtraction, multiplication, and division on the Integer
- Algorithms on the Integers
Chapter 9-Rational Numbers and Real Numbers, with an Introduction to Algebra
- Rational Numbers and Real Numbers
- Algebra, Functions and their Graphs

Grading Policy

Students' grades may be based on homework, class participation, short tests, journals, portfolios, and scheduled examinations covering students' understanding of the topics covered in MAT 107. The instructor will determine the relative weights of these factors.

Attendance Requirements

Attendance policy is set by the instructor.

Policy on Due Dates and Make-Up Work

Due dates and policy regarding make-up work are set by the instructor.

Schedule of Examinations

The instructor sets all test dates except the date of the final exam. The final exam is given at the date and time announced in the Schedule of Classes.

Academic Integrity

The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

Accomodations for Students with Disabilities

Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

Revision history:

Prepared by H. Anderson 1/10/2000. Revised 3/30/2001, 4/28/01, 7/25/06 (G. Jennings)