Understanding Geometry for a Changing World (2009 NCTM Yearbook)

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Contents

Preface

I. Expanding Visions of Geometry

  1. What Is Geometry? by Joseph Malkevitch
  2. Enumerating Symmetry Types of Rectangle and Frieze Patterns: How Sherlock Might Have Done It by Doris Schattschneider
  3. Möbius Concepts: Strips and Tori by Yuichi Handa, David A. James, and Thomas Mattman
  4. Exploring Curvature With Paper Models by Howard T. Iseri
  5. Prairie Plants: Exploring Fractals in Nature by Dane Camp and Erich Hauenstein
  6. Folding Polygons to Convex Polyhedra by Joseph O'Rourke

II. Learning Geometry

  1. Highlights of Research on Learning School Geometry by Michael T. Battista
  2. Prototypes and Categorical Reasoning: A Perspective to Explain How Children Learn About Interactive Geometry Objects by Paul Yu, Jeffrey Barrett, and Norma Presmeg
  3. Conceptions of Angle: Implications for Middle School Mathematics and Beyond by Christine Browning and Gina Garza-Kling
  4. Developing the Spatial Operational Capacity of Young Children Using Wooden Cubes and Dynamic Simulation Software by Jacqueline Sack and Retha van Niekerk
  5. Fostering Geometric Thinking in the Middle Grades: Professional Development for Teachers in Grades 5-10 by Mark Driscoll, Michael Egan, Rachel Wing DiMatteo, and Johannah Nikula

III. Teaching Geometry for Understanding

  1. Teaching Geometry for Conceptual Understanding: One Teacher's Perspective by James Paniati
  2. Defining in Geometry by Michael de Villiers, Rajendran Govender, and Nikita Patterson
  3. Advancing Students' Understanding of Quadrilaterals by Tutita M. Casa and M. Katherine Gavin
  4. Using Interactive Geometry Software to Teach Secondary School Geometry: Implications From Research by Karen F. Hollebrands and Ryan C. Smith
  5. Representing, Modeling, and Solving Problems in Interactive Geometry Environments by José N. Contreras and Armando Martínez-Cruz
  6. Inventing a Geometry Theorem by Armando Martínez-Cruz and José N. Contreras
  7. Theorems Discovered by Students Inspire Teachers' Development by Antonio Quesada
  8. Using Circle-and-Square Intersections to Engage Students in the Process of Doing Geometry by Stephen Blair and Daniel Canada
  9. Area Formulas With Hinged Figures by Alfinio Flores
  10. An Integrated Approach to Teaching and Learning Geometry by David Wilson
  11. Redesigning a Traditional Geometry Lesson as an Investigative Activity by Jon Davis
  12. Looking Forward to Interactive Symbolic Geometry by Philip H. Todd

Cite

APA 7

Craine, T. V., & Rubenstein, R. (Eds.). (2009). Understanding geometry for a changing world. National Council of Teachers of Mathematics.

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