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MATH601: Modern Mathematics for Teachers I
Revised: November 2006
Course Description
Natural numbers, whole numbers integers, rational and irrational numbers; for middle grades teachers. Prerequisite: Permission of department head. Three semester hours.
Objectives
This course is intended for elementary and middle school teachers and will focus on
-
The structure of real numbers including basic concepts of the mathematical systems of natural numbers,whole numbers, integers, rationals, and reals;
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Fundamental topics in problem solving, number theory, ratio, operations, and mathematical functions are included;
- Topics and approaches which are consistent with contemporary reforms in mathematics education.
Text
Number Sense and Operations. NCTM (K-6 Addenda Series), 1995.
AND
Patterns. NCTM (K-6 Addenda Series), 1995.
Grading Procedure
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance Policy
Attendance policy is left to the discretion of individual instructors, subject to general university policy.
Course Outline
Set theory
Basic terminology and set operations; venn diagrams; using venn diagrams to solve problems.Functions and relations
Using sets to represent variousfunctions and relations; terminology and properties;Numeration
Historical numeration systems; concept of place value; other bases;Whole Numbers and integers
Illustrate properties such as commutative, associative, distributive, closure, identity, and inverse as related to numerical operations on the sets of whole numbers and integers; models to represent operations; algorithms;< /P>Number Theory
Elementary topics in numbertheory;Rationals and reals
Properties of rationals and reals; models to represent operations; applications.