Buch, Englisch, 200 Seiten, Gewicht: 794 g
Buch, Englisch, 200 Seiten, Gewicht: 794 g
ISBN: 978-1-57517-858-5
Verlag: Corwin
Formerly a SkyLight publication.
From Toothpicks to Treetops: Quantity and Space in Mathematics serves the needs of the math whiz and the non-mathematically inclined alike by exploring and applying mathematical constructs to everyday situations.
By providing a vantage point from which to discern how students' prior knowledge can be used to help expand their mathematical thinking and increase their ability to communicate, author Rita Corbett outlines four ways students can begin to engage in problem solving:
- Identification - Comparison - Combination - Separation
Each method is used to reveal connections between mathematical thoughts, topics, and applications, and activities at the end of each chapter help students understand the relationship of mathematics to their surroundings.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Forword by Dr. Mahesh Sharma
Preface
Introduction
Chapter 1 - What Is Elementary and Middle School Mathematics?
Mathematical Thought and Communication
Mathematical Thought: Four Arenas
Mathematical Communication: Three Stages
Conclusion
Selected Readings
Student Activities
Chapter 2 - Our Number System
Identifying Types of Numbers in Our Number System
Comparing Irrational Numbers in Our Number System: Counting vs. Quantity
Combining Numbers in Our Number System: Place Value
Separating Mathematical Thought from Mathematical Symbols
Selected Readings
Student Activities
Chapter 3 - Whole Numbers Thoughts
Identifying Whole Numbers
Comparing Whole Numbers
Combining Whole Numbers
Separating Whole Numbers
Introducing Integers
Selected Readings
Student Activities
Chapter 4 - Fractional Thoughts
An Overview of Expressing Fractions
Identifying Fractions
Comparing Fractions
Selected Readings
Chapter 5 - Communicating Fractional Thought
Combining Fractions
Separating Fractions
Selected Readings
Student Activities
Chapter 6 - Spatial Geometry Thoughts
Introducing Spatial Geometry
van Hieles' Levels of Geometric Constructs
Identifying Geometric Constructs
Comparing Geometric Space
Separating Space
Selected Readings
Student Activities
Chapter 7 - Communicating Spatial Thoughts with Measurement
Measuring Non-Dimensional Space
Measuring One-Dimensional Space
Measuring Two-Dimensional Space
Measuring Three-Dimensional Space
Measuring Time
Measuring Temperature
Measuring Weight
Selected Readings
Student Activities
Chapter 8 - Solving Problems
Reading and Understanding the Problem
Making a Plan
Solving the Problem
Clarifying the Solution
Using Graphic Organizers to Solve Problems
Conclusion
Selected Readings
Student Activities
Glossary
Bibliography
Index