Difference between revisions of "ModelCourses/Math for Elementary Education"

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* Percents
  
* Percents
   
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=== Second Term ===
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= Second Term =
   
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* Coordinate Geometry
  
  +
=== [[ModelCourses/Math4Teachers/FirstTerm/CoordinateGeometry|Coordinate Geometry]] ===
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** Cartesian Coordinate System
  
  +
:[[file21|Problem set for this unit]]
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** Graphing and Applications
  
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** Connecting Algebra and Geometry
  
   
−
* Geometric Figures
  
  +
* Cartesian Coordinate System
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** Figures in the Plane
  
  +
* Graphing and Applications
−
** Polygons
  
  +
* Connecting Algebra and Geometry
−
** Figures in Space
  
   
−
* Symmetry and Transformations
  
  +
=== [[ModelCourses/Math4Teachers/FirstTerm/GeometricFigures|Geometric Figures]] ===
−
** Similarity Transformations
  
  +
:[[file21|Problem set for this unit]]
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** Types of Symmetry
  
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** Tiling the Plane
  
   
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* Measurement: Length, Area and Volume
  
  +
* Figures in the Plane
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** Units of Measure
  
  +
* Polygons
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** Area and Perimeter
  
  +
* Figures in Space
−
** Pythagorean Theorem
  
−
** Similarity
 
−
** Volume and Surface Area
  
   
−
* Statistics
  
  +
=== [[ModelCourses/Math4Teachers/FirstTerm/SymmetryTransformations|Symmetry and Transformations]] ===
−
** Organizing Data
  
  +
:[[file22|Problem set for this unit]]
−
** Populations and Sampling
  
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** Measures of Center
  
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** Measures of Variation
  
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** Measures of Relative Standing
  
   
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* Probability
  
  +
* Similarity Transformations
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** Introduction to Probability
 
  +
* Types of Symmetry
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** Principles of Counting
  
  +
* Tiling the Plane
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** Theoretical Probability
  
  +
−
** Random Variables and Expected Value
  
  +
=== [[ModelCourses/Math4Teachers/FirstTerm/Measurement|Measurement: Length, Area and Volume]] ===
  +
:[[file23|Problem set for this unit]]
  +
  +
* Units of Measure
  +
* Area and Perimeter
  +
* Pythagorean Theorem
  +
* Similarity
  +
* Volume and Surface Area
  +
  +
=== [[ModelCourses/Math4Teachers/FirstTerm/Statistics|Statistics]] ===
  +
:[[file24|Problem set for this unit]]
  +
  +
* Organizing Data
  +
* Populations and Sampling
  +
* Measures of Center
  +
* Measures of Variation
  +
* Measures of Relative Standing
  +
  +
=== [[ModelCourses/Math4Teachers/FirstTerm/Probability|Probability]] ===
  +
:[[file25|Problem set for this unit]]
  +
  +
* Introduction to Probability
  +
* Principles of Counting
  +
* Theoretical Probability
  +
* Random Variables and Expected Value
   
 
=[[ModelCourses|Other Model Courses]]=
  
=[[ModelCourses|Other Model Courses]]=

Revision as of 16:43, 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

Problem Solving Strategies

Problem set for this unit
  • General Strategies
  • Patterns
  • Algebra
  • Logical Reasoning

Sets and Functions

Problem set for this unit
  • Sets and Set Operations
  • Counting with Sets and Venn Diagrams
  • Functions and Their Properties
  • Function Applications
  • Numeration Systems
    • Ancient Numeration Systems
    • The Hindu-Arabic System
    • Bases Other than Ten

Whole Number Arithmetic

Problem set for this unit
  • Addition
  • Subtraction
  • Multiplication
  • Division

Number Theory

Problem set for this unit
  • Divisibility
  • Tests for Divisibility
  • Primes and Prime Factorization
  • Greatest Common Divisors and Least Common Multiples

Integers, Fractions, and Rational Numbers

Problem set for this unit
  • Integer Operations
  • Modeling Fractions
  • Fractional Number Sense
  • Fraction Operations

Decimals and Real Numbers

Problem set for this unit
  • Irrational and Real Numbers
  • Decimal Computation and Applications

Proportions and Percents

Problem set for this unit
  • Ratios and Proportions
  • Percents

Second Term

Coordinate Geometry

Problem set for this unit
  • Cartesian Coordinate System
  • Graphing and Applications
  • Connecting Algebra and Geometry

Geometric Figures

Problem set for this unit
  • Figures in the Plane
  • Polygons
  • Figures in Space

Symmetry and Transformations

Problem set for this unit
  • Similarity Transformations
  • Types of Symmetry
  • Tiling the Plane

Measurement: Length, Area and Volume

Problem set for this unit
  • Units of Measure
  • Area and Perimeter
  • Pythagorean Theorem
  • Similarity
  • Volume and Surface Area

Statistics

Problem set for this unit
  • Organizing Data
  • Populations and Sampling
  • Measures of Center
  • Measures of Variation
  • Measures of Relative Standing

Probability

Problem set for this unit
  • Introduction to Probability
  • Principles of Counting
  • Theoretical Probability
  • Random Variables and Expected Value

Other Model Courses

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