MCCCD Official Course Competencies:

MAT156  20026-99999

Mathematics for Elementary Teachers I

1.

State, illustrate, and apply number properties.(I)

2.

Identify, describe, extend, analyze, and create number patterns and use number patterns to solve problems. (I)

3.

Illustrate and explain various mental and concrete models for addition, such as union of sets, number-line, and add-on.(II)

4.

Illustrate and explain various mental and concrete models for subtraction, such as take-away, comparison, missing addend and number-line.(II)

5.

Illustrate and explain various mental and concrete models for multiplication, such as rectangular arrays, repeated addition, and tree diagrams.(II)

6.

Illustrate and explain various mental and concrete models for division, such as partition, missing factor, and repeated subtraction.(II)

7.

State, illustrate and apply traditional and nontraditional algorithms.(II)

8.

Analyze and describe the interconnectedness among addition, subtraction, multiplication, division, powers, and roots.(II)

9.

Extend number patterns to algebraic reasoning.(III)

10.

Solve problems from a variety of contexts using a variety of strategies. (III)

11.

Identify, describe, and explain function relationships using multiple representations. (III)

MCCCD Official Course Outline:

MAT156   20026-99999

Mathematics for Elementary Teachers I

I. Real Number Properties and Patterns

A. Whole numbers

B. Integers

C. Rational numbers

D. Irrational numbers

E. Number theory

1. Prime vs. composite

2. Factors and multiples

3. Divisibility

II. Operations

A. Conceptual understandings

1. Interconnectedness

2. Underlying structure

B. Algorithms

1. Traditional

2. Nontraditional

III. Algebraic Reasoning and Problem Solving

A. Patterns, relations and functions for modeling and problem solving

B. Explore problem solving strategies

C. Problem solving strategies

1. Charts, tables, and other numeric representations

2. Graphs

3. Verbal descriptions

4. Symbolic

5. Concrete models