# ModelCourses/Math for Elementary Education

From WeBWorK

(Difference between revisions)

(→Sets and Functions) |
Anneke Bart (Talk | contribs) |
||

(5 intermediate revisions by one user not shown) | |||

Line 2: | Line 2: | ||

PREP 2011 Model Course<br /> | PREP 2011 Model Course<br /> | ||

Prepared by Mike Diehl and Jonathan Duncan<br /> | Prepared by Mike Diehl and Jonathan Duncan<br /> | ||

+ | |||

+ | {{UnderConstruction}} | ||

== Description == | == Description == | ||

Line 20: | Line 22: | ||

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

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/ProblemSolvingStrategies|Problem Solving Strategies]] === | + | === Unit 1 - [[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 29: | ||

* Logical Reasoning | * Logical Reasoning | ||

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/SetsAndFunctions|Sets and Functions]] === | + | === Unit 2 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/SetsAndFunctions|Sets and Functions]] === |

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

Line 36: | Line 38: | ||

* Numeration Systems | * Numeration Systems | ||

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/WholeNumberArithmetic|Whole Number Arithmetic]] === | + | === Unit 3 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/WholeNumberArithmetic|Whole Number Arithmetic]] === |

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

Line 44: | Line 46: | ||

* Division | * Division | ||

− | === [[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]] | ||

Line 52: | Line 54: | ||

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

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

Line 60: | Line 62: | ||

* Fraction Operations | * Fraction Operations | ||

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

Line 66: | Line 68: | ||

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

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/ProportionsPercents|Proportions and Percents]] === | + | === Unit 7 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/ProportionsPercents|Proportions and Percents]] === |

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

Line 74: | Line 76: | ||

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

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/CoordinateGeometry|Coordinate Geometry]] === | + | === Unit 1 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/CoordinateGeometry|Coordinate Geometry]] === |

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

Line 81: | Line 83: | ||

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

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/GeometricFigures|Geometric Figures]] === | + | === Unit 2 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/GeometricFigures|Geometric Figures]] === |

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

Line 88: | Line 90: | ||

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

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/SymmetryTransformations|Symmetry and Transformations]] === | + | === Unit 3 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/SymmetryTransformations|Symmetry and Transformations]] === |

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

Line 95: | Line 97: | ||

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

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/Measurement|Measurement: Length, Area and Volume]] === | + | === Unit 4 - [[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 104: | Line 106: | ||

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

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/Statistics|Statistics]] === | + | === Unit 5 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/Statistics|Statistics]] === |

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

Line 113: | Line 115: | ||

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

− | === [[ModelCourses/Math_for_Elementary_Education/FirstTerm/Probability|Probability]] === | + | === Unit 6 - [[ModelCourses/Math_for_Elementary_Education/FirstTerm/Probability|Probability]] === |

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

## Latest revision as of 10:52, 10 March 2013

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

### 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

### Unit 1 - Coordinate Geometry

- Cartesian Coordinate System
- Graphing and Applications
- Connecting Algebra and Geometry

### Unit 2 - Geometric Figures

- Figures in the Plane
- Polygons
- Figures in Space

### Unit 3 - Symmetry and Transformations

- Similarity Transformations
- Types of Symmetry
- Tiling the Plane

### Unit 4 - Measurement: Length, Area and Volume

- Units of Measure
- Area and Perimeter
- Pythagorean Theorem
- Similarity
- Volume and Surface Area

### Unit 5 - Statistics

- Organizing Data
- Populations and Sampling
- Measures of Center
- Measures of Variation
- Measures of Relative Standing

### Unit 6 - Probability

- Introduction to Probability
- Principles of Counting
- Theoretical Probability
- Random Variables and Expected Value