Title:
Course Number:
Credits:
Fundamentals of Elementary Math I
Math 211
4
Date:
Institution:
July 1, 2008
Clackamas Community College
Outline developed by: Kurt Lewandowski & Debbie Whittet
Type of program: Transfer
Course Description: This course is the first in a sequence of three courses designed to teach students to understand the basic concepts of mathematics and provide ideas for teaching these concepts to elementary school children.
Course Objectives: Develop the ability to view mathematics as a system of interrelated principles.
Implement manipulatives into the learning of mathematics.
Develop an understanding of the elements of mathematical modeling.
Develop an appreciation of the historical development of numeration.
Use problem solving approaches to investigate and understand mathematical content.
Develop and apply number and set theory concepts to real-world applications.
Learn to integrate writing into the learning of mathematics.
Explore written research and articles as an instructional resource.
Explore educational websites related to the field of mathematics.
Observe and evaluate instruction in an elementary classroom.
Length Of Course:
Grading Method:
42 hours
The student's grade will be based on a portfolio of student work including personal journal entries, selected homework problems, group activities, and other written work; tests; and a final exam.
Prerequisites:
Required Text:
Math 95 and Writing 95
Mathematics for Elementary Teachers, A Conceptual Approach , 7th Edition, by Bennett and
Nelson
Mathematics for Elementary Teachers, An Activity Approach , 7th Edition, by Bennett, Burton and
Nelson.
Major Topic Outline: Problem Solving :
Exploring patterns, using the problem solving process and inductive reasoning.
Sets :
Sets and their elements, relationships between sets, operations on sets and infinite sets.
Whole Numbers and Numeration Systems :
Suggested
Timeline:
Ancient numeration systems, grouping and number bases, reading and writing numbers, rounding numbers, models for numeration, models for addition and subtraction algorithms, number properties, inequality of whole numbers, models for multiplication and division algorithms, order of operations, and exponents.
Number Theory :
Models for factors and multiples, prime and composite numbers, Sieve of Eratosthenes,
Greatest Common Factor, Least Common Multiple.
CLASS HOURS
3
TOPIC
Exploring patterns
4 Using the problem solving process
3
4
4
8
Describing sets and set operations
Ancient numeration systems and models of numeration
Models for addition and subtraction algorithms, number properties and inequalities
Models for multiplication and division algorithms, order of operations and exponents
4
4
8
Factors and multiples, prime and composite numbers
Greatest Common Factor and Least Common Multiple
Reviews, Tests, Final Exam