Mathematics, Education and History

Front Matter ....Pages i-xii
 Introduction: Integrating History and Epistemology of Mathematics in Mathematics Education  (Kathleen M. Clark, Tinne Hoff Kjeldsen, Sebastian Schorcht, Constantinos Tzanakis)....Pages 1-23
Front Matter ....Pages 25-25
 Inquiry-Reflective Learning Environments and the Use of the History of Artifacts as a Resource in Mathematics Education  (Mikkel Willum Johansen, Tinne Hoff Kjeldsen)....Pages 27-42
 History of Mathematics and Teachers’ Education: On Otherness and Empathy  (David Guillemette)....Pages 43-60
 Addressing the Transition from School to University  (Ingo Witzke, Kathleen M. Clark, Horst Struve, Gero Stoffels)....Pages 61-82
Front Matter ....Pages 83-83
 Facilitating Source-Centered History of Mathematics  (Kristian Danielsen, Emilie Gertz, Henrik Kragh Sørensen)....Pages 85-100
 Involving Students in Original Research with Primary Sources  (Patricia Baggett, Andrzej Ehrenfeucht)....Pages 101-120
 Algebra Without Context Is Empty, Visualizations Without Concepts Are Blind  (Rainer Kaenders, Ysette Weiss)....Pages 121-141
 History of Mathematics in German Mathematics Textbooks  (Sebastian Schorcht)....Pages 143-162
Front Matter ....Pages 163-163
 Geometry and Visual Reasoning  (Iolanda Guevara-Casanova, Carme Burgués-Flamarich)....Pages 165-192
 Missing Curious Fraction Problems  (Maria T. Sanz, Bernardo Gómez)....Pages 193-208
 History of Matrices  (Aline Bernardes, Tatiana Roque)....Pages 209-227
Front Matter ....Pages 229-229
 Liu Hui Shares His Views with Young Students  (Vasiliki Tsiapou)....Pages 231-254
 Experimentation on the Effects of Mathematical Diversity  (Charlotte de Varent)....Pages 255-281
 Making Domain-Specific Beliefs Explicit for Prospective Teachers  (Susanne Spies, Ingo Witzke)....Pages 283-304
 Primary Historical Sources in the Classroom  (Jerry Lodder)....Pages 305-320
Front Matter ....Pages 321-321
 The Pantograph: A Historical Drawing Device for Math Teaching  (Silvia Schöneburg-Lehnert)....Pages 323-340
 Expanding Contexts for Teaching Upper Secondary School Geometry  (Panagiota Kotarinou, Eleni Gana, Charoula Stathopoulou)....Pages 341-366
 Learning New Mathematics from Old  (Snezana Lawrence)....Pages 367-382
Back Matter ....Pages 383-387