Beschreibung
InhaltsangabeIntroduction. I. Geometry and Geometry-Teaching through the Ages; C. Mammana, V. Villani. II. About the Present ICMI Study; V. Villani. III. Acknowledgements; V. Villani. 1: Geometry: Past and Future. I. Everlasting Geometry; V. Lundsgaard Hansen. II. Finding Room in the Curriculum for Recent Geometry; J. Malkevitch. III. Space and Plane; A. Douady. 2: Reasoning in Geometry. I. About Reasoning in Geometry; R. Hershkowitz. II. Geometry from a Cognitive Point of View; R. Duval. III. Teaching and Learning Geometry in Contexts; M. Bartolini Bussi, P. Boero. IV. Springboards to Geometry; R. Lehrer, T. Romberg. V. The Role of Pupils' Spatial Knowledge in the Elementary Teaching of Geometry; R. Berthelot, M.H. Salin. VI. Deductive and Intuitive Approaches to Solving Geometrical Problems; K. Jones. 3: Geometry in our World. I. Geometry and Reality; J. Malkevitch. II. Recent Applications of Geometry; W. Meyer. III. Science and Technology in Geometry Textbooks; P. Legisa. 4: Computer Technology and the Teaching of Geometry. Introduction; I. Osta. I. Visual Phenomena in the Teaching/Learning of Geometry in a Computer-Based Environment; C. Laborde. II. Proof in Dynamic Geometry Contexts; C. Hoyles, K. Jones. III. CAD Tools and the Teaching of Geometry; I. Osta. IV. The Computer as a Context for New Possible Geometrical Activities; K.-D. Graf, B. Hodgson. 5: Geometry in the Classroom; R. Douady, B. Parzysz. 6: The Evolution of Geometry Education since 1900. I. The British Experience; H.B. Griffiths. II. The Evolution of Curricula as Indicated by Different Kinds of Change in Geometry Textbooks; M. Galuzzi, et al. III. General Tendencies in the Development of Geometry Teaching in the Past Two Decades; H.B. Griffiths, M. Neubrand. Appendix: Influences of History and the General Social Development on the Teaching of Geometry; M. Galuzzi, M. Neubrand. 7: Changes and Trends in Geometry Curricula. I. General Considerations on Curricula Designs in Geometry; V. Lundsgaard Hansen. II. Examples of Curricula Designs in Geometry; C.E. Vasco, et al. III. Looking Towards the 21st Century: Possible Trends in Geometry Curricula; V. Lundsgaard Hansen. 8: Assessment in Geometry. I. Dimensions of Geometry and Assessment; M. Niss. II. Assessing Reasoning Abilities in Geometry; J. Pegg, et al. 9: Teacher Qualifications and the Education of Teachers; M. Niss. 10: The Way Ahead; V. Villani on behalf of the International Program Committee. Bibliography. Appendix: Perspectives on the Teaching of Geometry for the 21st Century. List of Participants to the Catania Conference. Addresses of the Contributors. Index.
Inhaltsverzeichnis
Introduction. I. Geometry and Geometry-Teaching through the Ages; C. Mammana, V. Villani. II. About the Present ICMI Study; V. Villani. III. Acknowledgements; V. Villani. 1: Geometry: Past and Future. I. Everlasting Geometry; V. Lundsgaard Hansen. II. Finding Room in the Curriculum for Recent Geometry; J. Malkevitch. III. Space and Plane; A. Douady. 2: Reasoning in Geometry. I. About Reasoning in Geometry; R. Hershkowitz. II. Geometry from a Cognitive Point of View; R. Duval. III. Teaching and Learning Geometry in Contexts; M. Bartolini Bussi, P. Boero. IV. Springboards to Geometry; R. Lehrer, T. Romberg. V. The Role of Pupils'' Spatial Knowledge in the Elementary Teaching of Geometry; R. Berthelot, M.H. Salin. VI. Deductive and Intuitive Approaches to Solving Geometrical Problems; K. Jones. 3: Geometry in our World. I. Geometry and Reality; J. Malkevitch. II. Recent Applications of Geometry; W. Meyer. III. Science and Technology in Geometry Textbooks; P. Legisa. 4: Computer Technology and the Teaching of Geometry. Introduction; I. Osta. I. Visual Phenomena in the Teaching/Learning of Geometry in a Computer-Based Environment; C. Laborde. II. Proof in Dynamic Geometry Contexts; C. Hoyles, K. Jones. III. CAD Tools and the Teaching of Geometry; I. Osta. IV. The Computer as a Context for New Possible Geometrical Activities; K.-D. Graf, B. Hodgson. 5: Geometry in the Classroom; R. Douady, B. Parzysz. 6: The Evolution of Geometry Education since 1900. I. The British Experience; H.B. Griffiths. II. The Evolution of Curricula as Indicated by Different Kinds of Change in Geometry Textbooks; M. Galuzzi, et al. III. General Tendencies in the Development of Geometry Teaching in the Past Two Decades; H.B. Griffiths, M. Neubrand. Appendix: Influences of History and the General Social Development on the Teaching of Geometry; M. Galuzzi, M. Neubrand. 7: Changes and Trends in Geometry Curricula. I. General Considerations on Curricula Designs in Geometry; V. Lundsgaard Hansen. II. Examples of Curricula Designs in Geometry; C.E. Vasco, et al. III. Looking Towards the 21st Century: Possible Trends in Geometry Curricula; V. Lundsgaard Hansen. 8: Assessment in Geometry. I. Dimensions of Geometry and Assessment; M. Niss. II. Assessing Reasoning Abilities in Geometry; J. Pegg, et al. 9: Teacher Qualifications and the Education of Teachers; M. Niss. 10: The Way Ahead; V. Villani on behalf of the International Program Committee. Bibliography. Appendix: Perspectives on the Teaching of Geometry for the 21st Century. List of Participants to the Catania Conference. Addresses of the Contributors. Index.
