Course Syllabus

                                                          Ohio Northern University

                                                       College of Arts and Sciences

                                                       Department of Mathematics

                                                                             

                                                                                                            Date: Winter 2005-06

 

Course MATH- 173                 Name:            Fundamental Mathematics 2                      

 

Credit hours   4   Lecture hours/week    4   Lab hours/week               

 

Instructor     Schroeder                      

 

Usual student level     sophomore          

 

Course required of students in     Early childhood education, Middle childhood education                    

Course frequency per year   two sections    

 

Average enrollment per year     40 per year                           

 

This course has a prerequisite   none                                    

 

This course is a prerequisite for   none                                 

 

Catalogue description

            Introduction to the fundamentals of counting, probability and statistics, geometric figures, measurement, congruence, symmetry, constructions, transformations, and similarity.

 

Course Objectives

The student will:

1.  understand and apply the elementary concepts of probability and simple statistical techniques.

2.  attain the conceptual understandings of elementary geometry necessary for successful teaching of elementary school mathematics.

3.  experience the above topics using a hands-on, technology-oriented approach.

 

Textbooks 

 

Mathematics for Elementary Teachers – Contemporary Approach by Musser, Burger, and Peterson, 7th Edition

Student Activities Manual to Accompany above textbook

 

Outline of content follows:

            (See attached)

 

 

 

 

 

 

 

 

Course Outline

MATH - 173

Fundamental Mathematics II

 

Statistics

            Organizing and Picturing Information

            Analyzing Data

            Misleading Graphs and Statistics

 

Probability

            Probability and Simple Experiments

            Probability and Complex Experiments

            Additional Counting Techniques

            Simulation, Expected Value, Odds, and Conditional Probability

 

Geometric Shapes

            Recognizing Geometric Shapes

            Analyzing Shapes

            Properties of Geometric Shapes: Lines and Angles

            Regular Polygons and Tessellations

            Describing Three-Dimensional Shapes

 

Measurement

            Measurement with Nonstandard and Standard Units

            Length and Area

            Surface Area

            Volume

 

Geometry Using Triangle Congruence and Similarity (Geometer’s Sketchpad)

            Congruence of Triangles

            Similarity of Triangles

            Basic Euclidean Constructions

            Geometric Problem Solving Using Triangle Congruence and Similarity

 

Geometry Using Coordinates

            Distance and Slope in the Coordinate Plane

            Equations and Coordinates

            Geometric Problem Solving Using Coordinates

 

Geometry Using Transformations

            Transformations

            Congruence and Similarity Using Transformations

            Geometric Problem Solving Using Transformations