ModelCourses/Math for Elementary Education: Difference between revisions

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* Percents
* Percents


=== Second Term ===
= Second Term =


* Coordinate Geometry
=== [[ModelCourses/Math4Teachers/FirstTerm/CoordinateGeometry|Coordinate Geometry]] ===
** Cartesian Coordinate System
:[[file21|Problem set for this unit]]
** Graphing and Applications
** Connecting Algebra and Geometry


* Geometric Figures
* Cartesian Coordinate System
** 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]]
** Types of Symmetry
** Tiling the Plane


* Measurement: Length, Area and Volume
* Figures in the Plane
** Units of Measure
* Polygons
** 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
** Measures of Center
** Measures of Variation
** Measures of Relative Standing


* Probability
* Similarity Transformations
** Introduction to Probability  
* Types of Symmetry
** Principles of Counting
* Tiling the Plane
** 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 20:43, 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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