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Center for Curriculum and Transfer Articulation
Mathematics for Elementary Teachers I
Course: MAT156

First Term: 2002 Fall
Lecture   3 Credit(s)   3 Period(s)   3 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)
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 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
      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
MCCCD Governing Board Approval Date:  2/26/2002

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.