Mathematical Reasoning For Elem Teachers

by Unknown

• ISBN13: 9780321528629
• ISBN10: 032152862X
• Edition: 5th
• Format: Nonspecific Binding
• Copyright: 2008-01-01
• Publisher: PEARSON

Summary

Provides hands-on manipulative-based activities keyed to the text that involve future elementary school teachers discovering concepts, solving problems, and exploring mathematical ideas. These actitives can be adapted for use with elementary students at a later time.

Table of Contents

Thinking Critically

When You Don't Know What to Do

Pictoral Patterns

Number Patterns

What's the Rule?

Polygons and Diagonals

Ten People in a Canoe

Fascinating Fibonacci

Magic Number Tricks

An Ancient Game

Attribute Elimination

Missing Persons Report

Who Dunit?

What's the Number?

Eliminate the Impossible

Candies, Couples and a Quiz

What's the Last Card?

Chapter Summary

Sets and Whole Numbers

What's in the Loop?

Loop de Loops

Odd and Even Patterns

Multiplication Arrays

Finding the Missing Factor

How Many Cookies?

Paper Powers

The King's Problem

Chapter Summary

Numeration and Computation

Regrouping Numbers

Find the Missing Numbers

A Visit to Fouria

It All Adds Up

What's the Difference?

Multi-digit Multiplication

Multi-digit Division

Division Array

Target Number

Least and Greatest

Chapter Summary

Number Theory

A Square Experiment

A Sieve of Another Sort

Great Divide Game

The Factor Game

How Many Factors?

Interesting Numbers

Tiling with Squares

Pool Factors

Chapter Summary

Integers

Charged Particles

Coin Counters

Addition Patterns

Subtracting Integers

A Clown on a Tightrope

Subtraction Patterns

Multiplication and Division Patterns

Integer × and ÷ Contig

Fractions and Rational Numbers

What Is a Fraction?

Equivalent Fractions

How Big Is It?

Fraction War

What Comes First?

Square Fractions

Adding and Subtracting Fractions

Multiplying Fractions

Dividing Fractions

Chapter Summary

Decimals, Real Numbers, and Proportional Reasoning

What's My Name?

Who's First?

Repeating Decimals

Race for the Flat

Empty the Board

Decimal Arrays

Decimal Multiplication

Target Number Revisited

People Proportions

A Call to the Border

What is Percent?

What Does It Mean?

Flex-it

Chapter Summary

Algebraic Reasoning and Representation

Regular Polygons in a Row

Patterns and Expressions

The Function Machine

What's My Function?

Exploring Linear Functions

Graphing Rectangles

Graphs and Stories

Chapter Summary

Statistics: The Interpretation of Data

Graphing m&m's

Gaps and Clusters

Grouped Data

What's the Average?

Finger-Snapping Time

The Weather Report

To Change or Not to Change

What's in the Bag?

Populations and Samples

Chapter Summary

Probability

What Are the Chances?

The Spinner Game

Numbers That Predict

Paper-Scissors-Rock

Simulate It

How Many Arrangements?

Theoretical Probability

It's in the Bag

Pascal's Probabilities

The Mystery Cube

Chapter Summary

Geometric Figures

What's the Angle?

Triangle Properties- Angles

Inside or Outside?

Angles on Pattern Blocks

Sum of Interior/Exterior Angles

Name that Polygon

Mysterious Midpoints

Spatial Visualization

A View from the Top

Map Coloring

Chapter Summary

Measurement: Length, Area, and Volume

Units of Measure

What's My Area?

Areas of Polygons

From Rectangles to Parallelograms

From Parallelograms to Triangles

From Parallelograms to Trapezoids

Pythagorean Puzzles

Right or Not?

Now You See It, Now You Don't

Surface Area

Volume of a Rectangular Solid

Pyramids and Cones

Chapter Summary

Transformation, Symmetries, and Tilings

Activity 1 Slides, Flips, and Turns

How Did You Do It?

Double Flips

Reflections

Translations

Rotations

Glide Reflections

Transforgeo

Dilations

Cut It Out

Draw It

Tessellations

Chapter Summary

Congruence, Constructions, and Similarity

Triangle Properties- Sides

To Be or Not to Be Congruent?

Paper Folding Construction

Pattern Block Similarity

Similar Triangles

Outdoor Geometry

Side Splitter Theorem

Chapter Summary

Appendices

Index

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