Mathematics for Elementary Teachers I
 Course: MAT156 First Term: 2002 Fall Final Term: Current Final Term: 2019 Spring Lecture   3 Credit(s)   3 Period(s)   3 Load       Credit(s)    Period(s)    Load Subject Type: Academic Load Formula: S

Description: Focuses on numbers and operations. Algebraic reasoning and problem solving integrated throughout the course

MCCCD Official Course Competencies
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)
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 Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.

MCCCD Official Course Outline
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