ModelCourses/Math for Elementary Education

From WeBWorK
(Difference between revisions)
Jump to: navigation, search
(Sets and Functions)
(First Term)
Line 20: Line 20:
 
= 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 27:
 
* 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 36:
 
* 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 52: Line 52:
 
* 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 4 - [[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 60:
 
* Fraction Operations
 
* Fraction Operations
  
=== [[ModelCourses/Math_for_Elementary_Education/FirstTerm/DecimalsReals|Decimals and Real Numbers]] ===
+
=== Unit 5 -[[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 66:
 
* Decimal Computation and Applications
 
* Decimal Computation and Applications
  
=== [[ModelCourses/Math_for_Elementary_Education/FirstTerm/ProportionsPercents|Proportions and Percents]] ===
+
=== Unit 6 -[[ModelCourses/Math_for_Elementary_Education/FirstTerm/ProportionsPercents|Proportions and Percents]] ===
 
:[[file17|Problem set for this unit]]
 
:[[file17|Problem set for this unit]]
  

Revision as of 17:07, 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

Unit 1 - Problem Solving Strategies

Problem set for this unit
  • General Strategies
  • Patterns
  • Algebra
  • Logical Reasoning

Unit 2 - 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

Unit 3 -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

Unit 4 - Integers, Fractions, and Rational Numbers

Problem set for this unit
  • Integer Operations
  • Modeling Fractions
  • Fractional Number Sense
  • Fraction Operations

Unit 5 -Decimals and Real Numbers

Problem set for this unit
  • Irrational and Real Numbers
  • Decimal Computation and Applications

Unit 6 -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