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COURSE NUMBER: EDUC 281
COURSE TITLE: Principles of Mathematics 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 provides a study of foundational mathematical concepts and properties in the elementary and junior high curriculum. The course emphasizes conceptual understanding, reasoning, explaining why algorithms work, and problem solving. Topics include number systems, operations, fractional numbers, proportional reasoning, and aspects of geometry.

Same as MATH 281.
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: This course focuses on mathematics necessary for prospective elementary teachers.   In order to develop a deeper understanding of this mathematics, the course emphasizes the need for explaining why the mathematics works, rather than simply memorizing procedures.

The goals of this course are that 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
  • Counting Numbers
  • Decimals
  • Problem Solving; 
  • Fractions - meaning
  • Fractions - equivalent; 
  • Fractions - comparing
  • Percents
  • Add & Sub - meaning; mental math
  • Standard Algorithm
  • Add & Sub – fractions
  • Multiplication – meaning  
  • Properties of Multiplication
  • Distributive Property
  • Multiplication Algorithm
  • Multiplying Fractions
  • Multiplying - Decimals
  • Division - meaning
  • Fractions & remainders
  • Division Algorithms
  • Fraction Division - how many groups
  • Fraction Division - how many in one group
  • Dividing Decimals


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.

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