Mathematics Content for Elementary and Middle School Teachers

Description

Mathematics Content for Elementary and Middle School Teachers, 5e

This short primer provides the essential information in each of the major math content areas that pre-service and in-service elementary and middle school teachers are expected to know. As a quick reference to math concepts, events, influence, and chronology, this text is an invaluable resource for the classroom teacher who needs help in planning and answering student questions. Based on national standards, this primer provides a strong overview of math concepts, alleviating future teachers from having to re-teach math content, so they can remain focused on the methods.

Features

• A great supplement for students who need to prepare for teacher certification exams.
• An exhaustive index at the back of the book makes the text a valuable, easy-to-use reference tool.
• “Educational Resources” for each content area, located at the end of each content chapter, provide pedagogical grounding for the content covered in the chapter.
• “Student Resources” at the end of each content chapter offer suggestions for further research.
• Up-to-date Websites for each content area direct the reader to valuable supplemental information.

A short primer on each of the major math content areas that preservice and inservice elementary and middle school teachers are required to know.

This book is an invaluable resource for the classroom teacher who needs both an overview for planning and help in answering student questions. Based broadly on the national standards, it gives the teacher general scientific information to cover most state’s standards and to help prepare them for teacher certification exams. It also provides a strong overview of mathematical knowledge to allow the teacher to find information on important concepts, to see where significant moments in mathematical history fit chronologically, and to improve the teacher’s understanding of mathematical ideas and concepts. Moreover, it saves professors from having to re-teach mathematics content so they can remain focused on the methods.

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.

• A great Value pack for students who need to prepare for teacher certification exams.

• An exhaustive index at the back of the book makes the text a valuable, easy-to-use reference tool.

• “Educational Resources” for each content area located at the end of each content chapter provides pedagogical grounding for the content covered in the chapter.

• “Resources for Teachers” for each content area, as well as a list of “General Resources,” provides further suggestions for areas in which teachers need more in-depth information

• “Student Resources” at the end of each content chapter offer suggestions for further research.

• Up-to-date Websites for each content area are provided to direct the reader to valuable supplemental information