MODEL-CENTERED LEARNING

Pathways to Mathematical Understanding Using GeoGebra

Lingguo Bu
Southern Illinois University, Carbondale, USA

and

Robert Schoen (Eds.)
Florida State University, Tallahassee, USA

Indice:
TABLE OF CONTENTS

Foreword vii
J. Michael Spector
Acknowledgements ix

GeoGebra for Model-Centered Learning in Mathematics: An Introduction 1
Lingguo Bu and Robert Schoen

1. The Strength of the Community: How GeoGebra can Inspire Technology Integration in Mathematics 7 Markus Hohenwarter and Zsolt Lavicza

2. Toward Model-Centered Mathematics Learning and Instruction Using GeoGebra: A Theoretical Framework for Learning Mathematics with Understanding 13 Lingguo Bu, J. Michael Spector, and Erhan Selcuk Haciomeroglu

3. Using Dynamic Geometry to Bring the Real World into the Classroom 41 Robyn Pierce and Kaye Stacey

4. GeoGebra: From Simulation to Formalization in Teacher Preparation and Inservice Programs 57 Maurice Burke and Paul Kennedy

5. Building Simulators with GeoGebra 73
Dani Novak, Linda Fahlberg-Stojanovska, and Anthony Di Renzo

6. Influence of GeoGebra on Problem Solving Strategies 91
Núria Iranzo and Josep Maria Fortuny

7. GeoGebra as a Conceptual Tool for Modeling Real World Problems 105 Nicholas G. Mousoulides

8. Modeling the Cube Using GeoGebra 119
José Manuel Arranz, Rafael Losada, José Antonio Mora, Tomas Recio, and Manuel Sada

9. Visualization Through Dynamic GeoGebra Illustrations 133
Erhan Selcuk Haciomeroglu

10. Mathematics Attitudes in Computerized Environments: A Proposal Using GeoGebra 145 Inés Ma Gómez-Chacón

11. GeoGebra as a Cognitive Tool: Where Cognitive Theories and Technology Meet 169 Zekeriya Karadag and Douglas McDougall

12. GeoGebra as a Methodological Resource: Guiding Teachers to Use GeoGebra for the Construction of Mathematical Knowledge 183 Eleonora Faggiano and Palmira Ronchi

13. Approaches to Calculus Using GeoGebra 191
Chris Little

14. Rebirth of Euclidean Geometry? 205
Thomas Lingefjärd

15. The Emerging Role of GeoGebra in the Philippines 217
Ma. Louise Antonette N. De las Peñas and Debbie Bautista

16. GeoGebra, Democratic Access, and Sustainability: Realizing the 21st-Century Potential of Dynamic Mathematics for All 231 Daniel Jarvis, Markus Hohenwarter, and Zsolt Lavicza

Reflections and Conclusions 243
Lingguo Bu and Yazan Alghazo