دانلود کتاب Connecting Mathematics and Mathematics Education: Collected Papers on Mathematics Education as a Design Science

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Front Matter ....Pages i-xx
Unfolding the Educational and Practical Resources Inherent in Mathematics for Teaching Mathematics (Erich Christian Wittmann)....Pages 1-24
Teaching Units as the Integrating Core of Mathematics Education (Erich Christian Wittmann)....Pages 25-36
Clinical Interviews Embedded in the “Philosophy of Teaching Units”—A Means of Developing Teachers’ Attitudes and Skills (Erich Christian Wittmann)....Pages 37-47
The Mathematical Training of Teachers from the Point of View of Education (Erich Christian Wittmann)....Pages 49-60
When Is a Proof a Proof? (Erich Christian Wittmann)....Pages 61-76
Mathematics Education as a ‘Design Science’ (Erich Christian Wittmann)....Pages 77-93
Designing Teaching: The Pythagorean Theorem (Erich Christian Wittmann)....Pages 95-160
Standard Number Representations in the Teaching of Arithmetic (Erich Christian Wittmann)....Pages 161-189
Developing Mathematics Education in a Systemic Process (Erich Christian Wittmann)....Pages 191-208
The Alpha and Omega of Teacher Education: Organizing Mathematical Activities (Erich Christian Wittmann)....Pages 209-222
Operative Proofs in School Mathematics and Elementary Mathematics (Erich Christian Wittmann)....Pages 223-238
Collective Teaching Experiments: Organizing a Systemic Cooperation Between Reflective Researchers and Reflective Teachers in Mathematics Education (Erich Christian Wittmann)....Pages 239-248
Structure-Genetic Didactical Analyses—Empirical Research “of the First Kind” (Erich Christian Wittmann)....Pages 249-263
Understanding and Organizing Mathematics Education as a Design Science–Origins and New Developments (Erich Christian Wittmann)....Pages 265-285
Back Matter ....Pages 287-318