Taking Shape

Taking Shape : Activities to Develop Geometric and Spatial Thinking

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Enrich Your Geometry Curriculum and Extend Your Students' Spatial Reasoning

Research shows that children with good spatial skills perform better in mathematics overall. This research-based resource is a unique blend of professional learning and classroom activities.

It includes:

32 field-tested and research-based activities designed to appeal to young children
Guided lesson plans that serve as models for best practice in instruction
Tips on observing, questioning, and assessing young children's geometric and spatial thinking
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Product details

  • Paperback | 272 pages
  • Toronto, Canada
  • 0134153499
  • 9780134153490

Table of contents

I. Why Teach Math in the Early Years?

The Predictive Power of Early Mathematics
Socioeconomic Factors and Equity
Recent Research on Mathematics Readiness of Young Children
The What and Why of Spatial Reasoning
Spatial Reasoning in Our Daily Lives

II. What Makes This Resource Different from Others?

A Different Approach to Geometry
Reflection Symmetry
Composition and Decomposition of 2D and 3D Figures
Perspective Taking
An Emphasis on Playful Pedagogy
Opportunities and Limitations of Play-Based Learning
Most Effective Pedagogy: Blending of Play and Instruction Approaches
Story of a Research Study: Comparing Free Play, Direct Instruction and Guided Play
The Math for Young Children Research Program
What Does Playful Pedagogy Look Like in M4YC?
M4YC Case Studies #1, #2

III. A Closer Look at Spatial Reasoning Concepts and Processes

Visualization in Early Years Mathematics
Mental Rotation in Early Years Mathematics
Visual-Spatial Working Memory
Information Processing in Early Years Mathematics
Spatial Language in Early Years Mathematics
Gestures in Early Years Mathematics

IV. How to Use this Resource

How Is the Book Set Up?
Math and Spatial Reasoning Connections
Math Language in Focus
Lesson Structure
- Key Questions
- What to Look For, What to Listen For: Ongoing Assessment of Student Learning
- Supporting Learners
- Assessing for Reporting
- Extensions/Variations
- From Our Research Classrooms
Where to Begin?
Ways to Use the Resource Throughout the Year
Connecting to Other Math Strands and Curriculum Areas
Observing Student Thinking: JK-Grade 2 Assessment Suggestions
Assessment Components in the Guided Lessons, Quick Challenge, and Exploratory Tasks
One-to-One Interview Assessment Task

PART II Chapter A: Reflection Symmetry
What It IsWhy We Engage Children in These TasksChapter Overview

Guided Lesson: Let's Learn About Symmetry
Symmetry Pattern Block Centre
Double Pentomino Symmetry Games
Symmetry on Grids: Integrating Location and Number
Grid Symmetry Pair Game
Finding the Symmetry of Pentomino Figures
Symmetry of the Alphabet Letters
Mental Symmetry Folding with the Hole Punch
Symmetry Card Games

Chapter B: Composing, Decomposing, and Transforming 2D Shapes
What It IsWhy We Engage Children in These TasksChapter Overview

Guided Lesson: Finding the Magic (Pentomino) Keys
See It, Build It, Check It (Pattern Blocks)
Make a Hexagon Card Game
The Shape Composer
Can You Draw This?
See It, Build It, Check It (Tangrams)
Can You Cover It?
The Square Mover
Triangle Creations!

Chapter C: Composing, Decomposing, and Transforming 3D Shapes
What It IsWhy We Engage Children in These TasksChapter Overview

Guided Lesson: The Cube Challenge-Discovering 3D Congruence
See It, Build It, Check It! (Cubes)
Build It in Your Mind
2D-3D Building
Box or Not?
Cross-Section Challenge (or 3D Puzzle Challenge)
Building Rules! (3-Layer Version)
Building Rules! (Extension Version)

Chapter D: Location, Orientation, and Mapping
What It IsA Focus on CodingWhy We Engage Children in These TasksChapter Overview

Guided Lesson: Introductory Barrier Game
Secret Shape Code
What Did You Make?
Exploring Coordinates
Pathway Moves
Paper Pathways
Secret Code Game
Pathway Coding Game

Chapter E: Perspective Taking
What It IsWhy Engage Children in These Tasks?Overview of the Chapter

Guided Lesson: Mother Bird and Her Babies
What Do You See?
The Shoebox Window
Build It, Photograph It, Make It
See It, Remember It, Build It!
Building Blueprints
Crazy Creatures
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