MATH 282 Outline

THE KING'S UNIVERSITY

COURSE NUMBER:

MATH 282

COURSE TITLE:

Mathematical Reasoning for Teaching

NAME OF INSTRUCTOR:

Dr Wendy Stienstra

CREDIT WEIGHT AND WEEKLY TIME DISTRIBUTION:

credits 3 (hrs lect 3 - hrs sem 0 - hrs lab 0)

COURSE DESCRIPTION:

This course explores the mathematical reasoning embedded in concepts encountered in the upper elementary and junior high curriculum. The course emphasizes conceptual understanding, reasoning, explaining why algorithms work, and problem solving. The content follows sequentially from Math 281. Topics include proportional reasoning, number theory, algebraic reasoning and aspects of geometry and probability.

Same as EDUC 582.

REQUIRED TEXTS:

Beckmann, S. (2014). Mathematics For Elementary Teachers (4th ed.). Boston: Pearson Addison-Wesley. (package includes textbook and activities manual)

MARK DISTRIBUTION IN PERCENT:


Homework/Participation	25%
Midterm	25%
Project	20%
Final Exam	30%

	100%

COURSE OBJECTIVES:

In order to develop a deeper understanding of the mathematics necessary for both prospective and inservice
elementary and junior high teachers, the course emphasizes the need for explaining why the mathematics works, rather than simply memorizing procedures

Working with the concepts of proportional reasoning, number theory, algebraic reasoning and aspects
of probability and statistics students will:

make sense of and reason about the mathematics they will teach;
develop flexible mathematical reasoning;
develop a repertoire of problem solving skills;
develop the ability to use mental math to follow mathematical explanations;
develop the ability to communicate mathematical ideas clearly and logically during classroom discussions;
know how mathematics is used and applied in the classroom.

COURSE OUTLINE:

Intro to class
Review of Basic Concepts – Multiplication; Division; Fractions
Defining Ratio and Proportional Relationships
Solving Proportions by Reasoning
Unit Rates and Ratio Values
Proportional vs Inversely Proportional Relationships
Percent Increase and Decrease
Examples of Proportionality – Similarity and Scaling
Number Theory: Factors & Multiples; Even and Odd
Divisibility Tests; Prime Numbers
Greatest Common Factor; Least Common Multiple
Rational and Irrational Numbers
Number Systems; Review
Numerical Expressions
Expressions with Variables
Equations; Solving Equations
Solving Word Problems
Sequences
Functions
Linear Functions
Statistics Using Samples
The Centre of Data
Pull it All Together - Review

Required texts, assignments, and grade distributions may vary from one offering of this course to the next. Please consult the course instructor for up to date details.