Preface.
1. Why Study Mathematics?
2. A Short History of Mathematics.
3. Number Sense and Concepts.
Counting.
Number Sets.
Types of Counting, Numerals, and Models.
Proportional and Non-proportional Models.
4. Whole Number Operations.
Addition.
Subtraction.
Multiplication.
Division.
Order of Operations.
5. Fractions, Decimals, and Percents.
Meanings of Fractions.
Operations with Fractions.
6. Algebraic Thinking.
Patterns.
Functions.
Variables.
Number Theory.
7. Measurement.
Difference between Arbitrary and Standard Units.
Historic Measurement.
Imperial and U.S. Measurement.
The Metric System.
Preparing to Measure.
8. Geometry and Spatial Sense.
Informal Geometry.
9. Data Analysis and Probability.
Graphing.
Probability.
10. Problem Solving and Logical Reasoning.
The Problem Solving Process.
11. Mathematics, Technology, and Teaching.
12. Communication, Connections, and Representation.
Communication.
Connections.
Representation.
Communication, Connections, and Representation.
A Final Word.
General Resources for the Teacher.
Index.
