# ModelCourses/Math for Elementary Education

From WeBWorK

(Difference between revisions)

Line 20: | Line 20: | ||

= First Term = | = First Term = | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/ProblemSolvingStrategies|Problem Solving Strategies]] === |

:[[file11|Problem set for this unit]] | :[[file11|Problem set for this unit]] | ||

* General Strategies | * General Strategies | ||

Line 27: | Line 27: | ||

* Logical Reasoning | * Logical Reasoning | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/SetsAndFunctions|Sets and Functions]] === |

:[[file12|Problem set for this unit]] | :[[file12|Problem set for this unit]] | ||

Line 39: | Line 39: | ||

** Bases Other than Ten | ** Bases Other than Ten | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/WholeNumberArithmetic|Whole Number Arithmetic]] === |

:[[file13|Problem set for this unit]] | :[[file13|Problem set for this unit]] | ||

Line 47: | Line 47: | ||

* Division | * Division | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/NumberTheory|Number Theory]] === |

:[[file14|Problem set for this unit]] | :[[file14|Problem set for this unit]] | ||

Line 55: | Line 55: | ||

* Greatest Common Divisors and Least Common Multiples | * Greatest Common Divisors and Least Common Multiples | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/IntegersFractionsRationals|Integers, Fractions, and Rational Numbers]] === |

:[[file15|Problem set for this unit]] | :[[file15|Problem set for this unit]] | ||

Line 63: | Line 63: | ||

* Fraction Operations | * Fraction Operations | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/DecimalsReals|Decimals and Real Numbers]] === |

:[[file16|Problem set for this unit]] | :[[file16|Problem set for this unit]] | ||

Line 69: | Line 69: | ||

* Decimal Computation and Applications | * Decimal Computation and Applications | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/ProportionsPercents|Proportions and Percents]] === |

:[[file17|Problem set for this unit]] | :[[file17|Problem set for this unit]] | ||

Line 77: | Line 77: | ||

= Second Term = | = Second Term = | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/CoordinateGeometry|Coordinate Geometry]] === |

:[[file21|Problem set for this unit]] | :[[file21|Problem set for this unit]] | ||

Line 84: | Line 84: | ||

* Connecting Algebra and Geometry | * Connecting Algebra and Geometry | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/GeometricFigures|Geometric Figures]] === |

:[[file21|Problem set for this unit]] | :[[file21|Problem set for this unit]] | ||

Line 91: | Line 91: | ||

* Figures in Space | * Figures in Space | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/SymmetryTransformations|Symmetry and Transformations]] === |

:[[file22|Problem set for this unit]] | :[[file22|Problem set for this unit]] | ||

Line 98: | Line 98: | ||

* Tiling the Plane | * Tiling the Plane | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/Measurement|Measurement: Length, Area and Volume]] === |

:[[file23|Problem set for this unit]] | :[[file23|Problem set for this unit]] | ||

Line 107: | Line 107: | ||

* Volume and Surface Area | * Volume and Surface Area | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/Statistics|Statistics]] === |

:[[file24|Problem set for this unit]] | :[[file24|Problem set for this unit]] | ||

Line 116: | Line 116: | ||

* Measures of Relative Standing | * Measures of Relative Standing | ||

− | === [[ModelCourses/ | + | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/Probability|Probability]] === |

:[[file25|Problem set for this unit]] | :[[file25|Problem set for this unit]] | ||

## Revision as of 15:47, 14 December 2011

Mathematics for Elementary Educators

PREP 2011 Model Course

Prepared by Mike Diehl and Jonathan Duncan

## Contents |

## 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

- General Strategies
- Patterns
- Algebra
- Logical Reasoning

### Sets and Functions

- 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

- Addition
- Subtraction
- Multiplication
- Division

### Number Theory

- Divisibility
- Tests for Divisibility
- Primes and Prime Factorization
- Greatest Common Divisors and Least Common Multiples

### Integers, Fractions, and Rational Numbers

- Integer Operations
- Modeling Fractions
- Fractional Number Sense
- Fraction Operations

### Decimals and Real Numbers

- Irrational and Real Numbers
- Decimal Computation and Applications

### 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