Difference between revisions of "ModelCourses/Math for Elementary Education"
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* Division |
* Division |
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| − | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/NumberTheory|Number Theory]] === |
+ | === Unit 4 -[[ModelCourses/Math_for_Elementary_Education/FirstTerm/NumberTheory|Number Theory]] === |
:[[file14|Problem set for this unit]] |
:[[file14|Problem set for this unit]] |
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* Greatest Common Divisors and Least Common Multiples |
* Greatest Common Divisors and Least Common Multiples |
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| − | === Unit |
+ | === Unit 5 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/IntegersFractionsRationals|Integers, Fractions, and Rational Numbers]] === |
:[[file15|Problem set for this unit]] |
:[[file15|Problem set for this unit]] |
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* Fraction Operations |
* Fraction Operations |
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| − | === Unit |
+ | === Unit 6 -[[ModelCourses/Math_for_Elementary_Education/FirstTerm/DecimalsReals|Decimals and Real Numbers]] === |
:[[file16|Problem set for this unit]] |
:[[file16|Problem set for this unit]] |
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* Decimal Computation and Applications |
* Decimal Computation and Applications |
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| − | === Unit |
+ | === Unit 7 -[[ModelCourses/Math_for_Elementary_Education/FirstTerm/ProportionsPercents|Proportions and Percents]] === |
:[[file17|Problem set for this unit]] |
:[[file17|Problem set for this unit]] |
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Revision as of 16:08, 14 December 2011
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
Coordinate Geometry
- Cartesian Coordinate System
- Graphing and Applications
- Connecting Algebra and Geometry
Geometric Figures
- Figures in the Plane
- Polygons
- Figures in Space
Symmetry and Transformations
- Similarity Transformations
- Types of Symmetry
- Tiling the Plane
Measurement: Length, Area and Volume
- Units of Measure
- Area and Perimeter
- Pythagorean Theorem
- Similarity
- Volume and Surface Area
Statistics
- Organizing Data
- Populations and Sampling
- Measures of Center
- Measures of Variation
- Measures of Relative Standing
Probability
- Introduction to Probability
- Principles of Counting
- Theoretical Probability
- Random Variables and Expected Value
