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Cognitive and Developmental Issues

Content Strands

Teaching Strategies

Activities

Lesson Plans

Assessment

Resources

Appendices

Site Map

Site Map

Preface

• Rationale
• How to Use IMAGES
• Acknowledgements

Cognitive and Developmental Issues

• Van Hiele Levels of Geometric Reasoning
• Current Brain Research
• Facilitating Developmental Learning
  • Use Concrete Representations
  • Provide Time to Play
  • Use Examples and Non-Examples
  • Introduce and Implement Technology
  • Use Context and Prior Knowledge
  • Actively Engage Students
  • Implement the Equity Principle
• Learning Styles and Multiple Intelligences
• Summary of Cognitive and Developmental Issues

Content Strands

• Visualization and Spatial Reasoning
• Two- and Three-Dimensional Geometry
• Coordinate Geometry
• Transformational Geometry
• Measurement

Teaching Strategies

• Have High Expectations for All Students
• Base Practice on Educational Research
• Integrate Content Areas
• Incorporate Academic Standards
• Collaborate with Others
• Promote Cooperative Learning
• Use Technology as a Tool
• Use Inquiry-Based Learning
• Promote Mathematical Reasoning
• Promote Problem Solving
• Use Hands-On Activities to Model Concepts
• Integrate Assessment and Instruction
• Reflect on Teaching and Learning
• Include Strong Academic Content
• Cluster Concepts

Instructional Activities and Lesson Plans

• Instructional Activities
• Lesson Plans (Adobe's free Acrobat reader required)
  • Can You Build It? (grade 3)
  • Can You Name That Shape (grades 2-4)
  • Find the Shape (grades 4-5)
  • Geoboard Squares (grades 2-3)
  • How Close Is Our Estimate? (grade 5)
  • Investigating Nets and Polyhedra (grade 5)
  • It's a 3-D World Out There (grades 2-4)
  • Reflections (grade 5)
  • Rep Tiles (grade 3)
  • Rep Tiles (grades 4-5)
  • The Sum of the Interior Angles of a Polygon (grade 5)
  • Tiling the Plane (grades 2-3)
  • Tiling the Plane (grade 5)
  • Traveling around Our Town (grades 1-2)
  • Visualizing Multiplication (grades 3-5)

Assessment

• Observation
• Questioning
• Interviewing
• Performance Tasks
• Self-Assessment and Peer Assessment
• Work Samples
• Portfolios
• Writings
• Teacher-Designed Written Tests
• Achievement Tests

Resources

• References
• Children's Literature
• Manipulatives
• Technology
  • Software
  • Web Sites
• Videos

Appendices

• Appendix A: Correlations to State Standards
  • Appendix A1: California State Standards
  • Appendix A2: Minnesota State Standards
  • Appendix A3: North Carolina State Standards
  • Appendix A4: Pennsylvania State Standards
  • Appendix A5: Texas State Standards
• Appendix B: Acronyms
• Appendix C: Glossary of Assessment Terms
• Appendix D: Glossary of Geometric and Mathematical Terms