# ModelCourses/Math for Elementary Education

From WeBWorK

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== List of Topics == | == List of Topics == | ||

− | + | == First Term == | |

− | + | === [ModelCourses/Math4Teachers/FirstTerm/ProblemSolvingStrategies|Problem Solving Strategies]] === | |

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

− | + | * General Strategies | |

− | + | * Patterns | |

− | + | * Algebra | |

+ | * Logical Reasoning | ||

− | + | === [ModelCourses/Math4Teachers/FirstTerm/SetsAndFunctions|Sets and Functions]] === | |

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

− | + | ||

− | + | * Sets and Set Operations | |

− | + | * Counting with Sets and Venn Diagrams | |

+ | * Functions and Their Properties | ||

+ | * Function Applications | ||

* Numeration Systems | * Numeration Systems | ||

** Ancient Numeration Systems | ** Ancient Numeration Systems | ||

Line 36: | Line 39: | ||

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

− | + | === [ModelCourses/Math4Teachers/FirstTerm/WholeNumberArithmetic|Whole Number Arithmetic]] === | |

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

− | + | ||

− | + | * Addition | |

− | + | * Subtraction | |

+ | * Multiplication | ||

+ | * Division | ||

+ | |||

+ | === [ModelCourses/Math4Teachers/FirstTerm/NumberTheory|Number Theory]] === | ||

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

+ | |||

+ | * Divisibility | ||

+ | * Tests for Divisibility | ||

+ | * Primes and Prime Factorization | ||

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

+ | |||

+ | === [ModelCourses/Math4Teachers/FirstTerm/IntegersFractionsRationals|Integers, Fractions, and Rational Numbers]] === | ||

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

+ | |||

+ | * Integer Operations | ||

+ | * Modeling Fractions | ||

+ | * Fractional Number Sense | ||

+ | * Fraction Operations | ||

− | + | === [ModelCourses/Math4Teachers/FirstTerm/DecimalsReals|Decimals and Real Numbers]] === | |

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

− | + | ||

− | + | ||

− | + | ||

− | * | + | * Irrational and Real Numbers |

− | * | + | * Decimal Computation and Applications |

− | + | ||

− | + | ||

− | + | ||

− | + | === [ModelCourses/Math4Teachers/FirstTerm/ProportionsPercents|Proportions and Percents]] === | |

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

− | + | ||

− | + | * Ratios and Proportions | |

− | + | * Percents | |

− | + | ||

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

## Revision as of 15:37, 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

### [ModelCourses/Math4Teachers/FirstTerm/ProblemSolvingStrategies|Problem Solving Strategies]]

- General Strategies
- Patterns
- Algebra
- Logical Reasoning

### [ModelCourses/Math4Teachers/FirstTerm/SetsAndFunctions|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

### [ModelCourses/Math4Teachers/FirstTerm/WholeNumberArithmetic|Whole Number Arithmetic]]

- Addition
- Subtraction
- Multiplication
- Division

### [ModelCourses/Math4Teachers/FirstTerm/NumberTheory|Number Theory]]

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

### [ModelCourses/Math4Teachers/FirstTerm/IntegersFractionsRationals|Integers, Fractions, and Rational Numbers]]

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

### [ModelCourses/Math4Teachers/FirstTerm/DecimalsReals|Decimals and Real Numbers]]

- Irrational and Real Numbers
- Decimal Computation and Applications

### [ModelCourses/Math4Teachers/FirstTerm/ProportionsPercents|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