COURSE SYLLABUS

 

Ohio Northern University

College of Arts and Sciences

Department of Mathematics

 

                                                                                                            Date: Fall 2005

 

Course  MATH - 172              Name:  Fundamental Mathematics 1

 

Credit hours:  5                       Lecture hours/week:  5                       Lab hours/week: 

 

Instructor:   Schroeder

 

Usual student level:  sophomore

 

Course required of students in:  early childhood/middle childhood education

 

Course frequency per year:  2 sections each fall

 

Average enrollment per year:  40-45

 

This course has a prerequisite:  none

 

This course is a prerequisite for:  none

 

Catalogue Description:

 

Problem solving skills and techniques, elementary set theory, whole numbers, integers, rationals and reals, theory of arithmetic and introductory number theory.

 

Course Objectives:

 

This course seeks to provide students with various strategies for solving problems and practice in doing so.  It seeks to provide the prospective elementary teacher with the concepts and understanding of arithmetic necessary for successful teaching of elementary school mathematics.

 

 

Textbook:        Mathematics for Elementary Teachers, by Musser, Burger, and Peterson

                        7th Edition

                        Student Activities Manual to Accompany Mathematics for Elementary

                        Teachers, by Riverstone and Swenson, 7th Edition

 

Outline of content follows:  (see attached)

 

 

 

 

 

 

 

 

Course Outline

MATH - 172

Title: Fundamental Mathematics I

 

NCTM’s The Principles and Standards for School Mathematics, 2000

 

Introduction to Problem Solving

            The Problem Solving Process and Strategies

 

Sets, Whole Numbers, and Numeration

            Sets as a Basis for Whole Numbers

            Whole Numbers and Numeration

            The Hindu-Arabic System

            Relations and Functions

 

Whole Numbers: Operations and Properties

            Addition and Subtraction; Multiplication and Division

            Ordering and Exponents

 

Whole-Number Computation – Mental, Electronic, and Written

            Mental Math, Estimation, and Calculators

            Written Algorithms for Whole-Number Operations

            Algorithms in Other Bases

 

Number Theory

            Primes, Composites, and Tests for Divisibility

            Counting Factors, Greatest Common Factor, Least Common Multiple

 

Fractions

            The Set of Fractions

            Fractions: Addition and Subtraction

            Fractions: Multiplication and Division

 

Decimals, Ratio, Proportion, and Percent

            Decimals

            Operations with Decimals

            Ratio and Proportion

            Percent

 

Integers

            Addition and Subtraction

            Multiplication, Division, and Order

 

Rational Numbers and Real Numbers, With an Introduction to Algebra

            The Rational Numbers

            The Real Numbers

            Functions and Their Graphs

            Graphics Calculators