# MAT 107 Math for Elementary School Teachers: Real Numbers

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This course is designed for prospective elementary school teachers.

### Course Description

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.

Does not satisfy General Education Quantitative Reasoning Requirement.

3 units credit.

### Prerequisite

Fulfillment of ELM requirement.

### Text

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

### Course Requirements, Tentative Schedule of Class Meetings and Topics, Readings, Assignments and Due dates, Exams

The course may be based on the following chapters in the text. Other topics may be included as time permits.

• 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

A schedule of class meetings, topics, assignments, due dates, exam dates, etc. will be provided by instructor. See your class syllabus.

The final exam is given at the date and time announced in the Schedule of Classes.

### Learning Objectives

After completing MAT 107 the student will

• successfully engage in mathematical problem-solving and algebraic thinking
• explain and use basic properties of numbers: the commutative, associative and distributive laws, etc. and their use in elementary arithmetic.
• explain and use 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
• explain and use exponents and the laws of exponents
• demonstrate the use of ratios and proportions and their applications and engage in proportional reasoning
• demonstrate the use of percentages as proportions and as decimals and apply them in practical problems
• explain and use prime numbers and composites, divisibility, least common multiples and greatest common factors , and their applications in arithmetic and elementary problem solving
• demonstrate the use of 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.

### Computers and Calculators, Computer Literacy

Most instructors encourage the use of machines, calculators computers, phones etc., for analyzing data. The use of machines may be restricted during examinations or at certain other times. Ask your instructor for the policy in your class.

Students are not expected to be programmers or to know any particular computer language before starting this class. Some instructors may expect students to be able to access information on the internet, or to use calculators, or to learn to use particular software with instruction. Basic skill in algebra and the use of mathematical symbols, order of operations etc., and the willingness to read and follow instruction manuals and help files will suffice.

Students' grades are based on homework, class participation, short tests, and scheduled examinations covering students' understanding of the topics covered in this course. The instructor determines the relative weights of these factors and the grading scale. See the syllabus for your particular class.

### Location of Class Meetings

Classes meet on the dates and room announced in the official Schedule of Classes. This is a traditional, face-to-face class.

### Attendance Requirements

Attendance policy is set by the instructor.

### Policy on Due Dates, Make-Up Work, Missed Exams, and Extra-Credit Assignments

Due dates and policy regarding make-up work and missed exams are set by the instructor. Instructors may, or may not, choose to offer extra credit assignments. If extra credit assignments are offered they will be available to all students.

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 we best can help you. All disclosures of disabilities will be kept strictly confidential. Please note: you must register with DSS to arrange an no accommodation. For information call (310) 243-3660 or send an email message to dss@csudh.edu or visit the DSS website http://www4.csudh.edu/dss/contact-us/index or visit their office WH D-180

### Behavioral Expectations

We all are adults so behavior rarely is an issue. Just follow the Golden Rule: "do unto others as you would have them do unto you" then everything will be fine.

The university must maintain a classroom environment that is suitable for learning, so anyone who insists on disrupting that environment will be expelled from the class.

Revision history:

Prepared by H. Anderson 1/10/2000. Revised 3/30/2001, 4/28/01, 7/25/06, 1/7/15 (G. Jennings)