ModelCourses/Math for Elementary Education

From WeBWorK
(Difference between revisions)
Jump to: navigation, search
(First Term)
Line 75: Line 75:
 
* 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 15:43, 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

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

follow us