Understanding Geometry for a Changing World (2009 NCTM Yearbook)
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Contents
Preface
I. Expanding Visions of Geometry
- What Is Geometry? by Joseph Malkevitch
- Enumerating Symmetry Types of Rectangle and Frieze Patterns: How Sherlock Might Have Done It by Doris Schattschneider
- Möbius Concepts: Strips and Tori by Yuichi Handa, David A. James, and Thomas Mattman
- Exploring Curvature With Paper Models by Howard T. Iseri
- Prairie Plants: Exploring Fractals in Nature by Dane Camp and Erich Hauenstein
- Folding Polygons to Convex Polyhedra by Joseph O'Rourke
II. Learning Geometry
- Highlights of Research on Learning School Geometry by Michael T. Battista
- Prototypes and Categorical Reasoning: A Perspective to Explain How Children Learn About Interactive Geometry Objects by Paul Yu, Jeffrey Barrett, and Norma Presmeg
- Conceptions of Angle: Implications for Middle School Mathematics and Beyond by Christine Browning and Gina Garza-Kling
- Developing the Spatial Operational Capacity of Young Children Using Wooden Cubes and Dynamic Simulation Software by Jacqueline Sack and Retha van Niekerk
- 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
- Teaching Geometry for Conceptual Understanding: One Teacher's Perspective by James Paniati
- Defining in Geometry by Michael de Villiers, Rajendran Govender, and Nikita Patterson
- Advancing Students' Understanding of Quadrilaterals by Tutita M. Casa and M. Katherine Gavin
- Using Interactive Geometry Software to Teach Secondary School Geometry: Implications From Research by Karen F. Hollebrands and Ryan C. Smith
- Representing, Modeling, and Solving Problems in Interactive Geometry Environments by José N. Contreras and Armando Martínez-Cruz
- Inventing a Geometry Theorem by Armando Martínez-Cruz and José N. Contreras
- Theorems Discovered by Students Inspire Teachers' Development by Antonio Quesada
- Using Circle-and-Square Intersections to Engage Students in the Process of Doing Geometry by Stephen Blair and Daniel Canada
- Area Formulas With Hinged Figures by Alfinio Flores
- An Integrated Approach to Teaching and Learning Geometry by David Wilson
- Redesigning a Traditional Geometry Lesson as an Investigative Activity by Jon Davis
- 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.