Difference between revisions of "ModelCourses/Math for Elementary Education"
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PREP 2011 Model Course<br /> |
PREP 2011 Model Course<br /> |
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Prepared by Mike Diehl and Jonathan Duncan<br /> |
Prepared by Mike Diehl and Jonathan Duncan<br /> |
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== Description == |
== Description == |
Latest revision as of 11:52, 10 March 2013
Mathematics for Elementary Educators
PREP 2011 Model Course
Prepared by Mike Diehl and Jonathan Duncan
Description
This is a model course for a two-term Mathematics for Elementary Educators course. Below is a list of topics and sub-topics arranged in an order that is common for many texts on the subject.
To Do
- Finish writing/finding problems (have approximately 240, need approximately 30 more)
- Write set header files
- Create PDF files for homework assignments
- Tag written problems for NPL
- Write solutions
- Shamelessly copy Multi-variable Calculus wiki layout
List of Topics
First Term
Unit 1 - Problem Solving Strategies
- General Strategies
- Patterns
- Algebra
- Logical Reasoning
Unit 2 - Sets and Functions
- Sets and Set Operations
- Counting with Sets and Venn Diagrams
- Functions and Their Properties
- Function Applications
- Numeration Systems
Unit 3 - Whole Number Arithmetic
- Addition
- Subtraction
- Multiplication
- Division
Unit 4 - Number Theory
- Divisibility
- Tests for Divisibility
- Primes and Prime Factorization
- Greatest Common Divisors and Least Common Multiples
Unit 5 - Integers, Fractions, and Rational Numbers
- Integer Operations
- Modeling Fractions
- Fractional Number Sense
- Fraction Operations
Unit 6 - Decimals and Real Numbers
- Irrational and Real Numbers
- Decimal Computation and Applications
Unit 7 - Proportions and Percents
- Ratios and Proportions
- Percents
Second Term
Unit 1 - Coordinate Geometry
- Cartesian Coordinate System
- Graphing and Applications
- Connecting Algebra and Geometry
Unit 2 - Geometric Figures
- Figures in the Plane
- Polygons
- Figures in Space
Unit 3 - Symmetry and Transformations
- Similarity Transformations
- Types of Symmetry
- Tiling the Plane
Unit 4 - Measurement: Length, Area and Volume
- Units of Measure
- Area and Perimeter
- Pythagorean Theorem
- Similarity
- Volume and Surface Area
Unit 5 - Statistics
- Organizing Data
- Populations and Sampling
- Measures of Center
- Measures of Variation
- Measures of Relative Standing
Unit 6 - Probability
- Introduction to Probability
- Principles of Counting
- Theoretical Probability
- Random Variables and Expected Value