Proceedings of the 13th International Congress on Mathematical Education

Part I. Plenary Activities

1. Thirteenth International Congress on Mathematical Education: An Introduction
Gabriele Kaiser

2. Uncovering the Special Mathematical Work of Teaching
Deborah Loewenberg Ball

3. Mathematics, Education, and Culture: A Contemporary Moral Imperative
Bill Barton

4. Mathematics Classroom Studies: Multiple Lenses and Perspectives
Berinderjeet Kaur

5. “What is Mathematics?” and why we should ask, where one should experience and learn that, and how to teach it
Günter M. Ziegler, Andreas Loos

6. International Comparative Studies in Mathematics: Lessons and Future Directions for Improving Students’ Learning
Jinfa Cai, Ida A. C. Mok, Vijay Reddy, Kaye Stacey

7. Transitions in Mathematics Education: The Panel Debate
Ghislaine Gueudet, Marianna Bosch, Andrea A. diSessa, Oh Nam Kwon, Lieven Verschaffel

Part II. Awardees’ lectures

8. ICMI Awards Ceremony
Carolyn Kieran, Jeremy Kilpatrick

9. Mathematics Discourse in Instruction (MDI): A Discursive Resource as Boundary Object Across Practices
Jill Adler

10. The Challenging Relationship Between Fundamental Research and Action in Mathematics Education
Michèle Artigue

11. Elementary Mathematicians from Advanced Standpoints—A Cultural Perspective on Mathematics Education
Alan J. Bishop

12. Design and Development for Large-Scale Improvement
Hugh Burkhardt, Malcolm Swan

13. Making Sense of Mathematics Achievement in East Asia: Does Culture Really Matter?
Frederick K.S. Leung

Part III. Reports of the Survey Teams

14. Digital Technology in Mathematics Education: Research over the Last Decade
Marcelo C. Borba, Petek Askar, Johann Engelbrecht, George Gadanidis, Salvador Llinares, Mario Sánchez Aguilar

15. Conceptualisation of the Role of Competencies, Knowing and Knowledge in Mathematics Education Research
Mogens Niss, Regina Bruder, Núria Planas, Ross Turner, Jhony Alexander Villa-Ochoa

16. Assistance of Students with Mathematical Learning Difficulties—How Can Research Support Practice?—A Summary
Petra Scherer, Kim Beswick, Lucie DeBlois, Lulu Healy, Elisabeth Moser Opitz

17. Mathematics Teachers Working and Learning Through Collaboration
Barbara Jaworski, Olive Chapman, Alison Clark-Wilson, Annalisa Cusi, Cristina Esteley, Merrilyn Goos, Masami Isoda, Marie Joubert, Ornella Robutti

18. Geometry Education, Including the Use of New Technologies: A Survey of Recent Research
Nathalie Sinclair, Maria G. Bartolini Bussi, Michael Villiers, Keith Jones, Ulrich Kortenkamp, Allen Leung, Kay Owens

Part IV. Reports from the Thematic Afternoon

19. European Didactic Traditions in Mathematics: Aspects and Examples from Four Selected Cases
Werner Blum, Michèle Artigue, Maria Alessandra Mariotti, Rudolf Sträßer, Marja Van den Heuvel-Panhuizen

20. German-Speaking Traditions in Mathematics Education Research
Hans Niels Jahnke, Rolf Biehler, Angelika Bikner-Ahsbahs, Uwe Gellert, Gilbert Greefrath, Lisa Hefendehl-Hebeker, Götz Krummheuer, Timo Leuders, Marcus Nührenbörger, Andreas Obersteiner, Kristina Reiss, Bettina Rösken-Winter, Andreas Schulz, Andreas Vohns, Rudolf vom Hofe, Katrin Vorhölter

21. What Is and What Might Be the Legacy of Felix Klein?
Hans-Georg Weigand, William McCallum, Marta Menghini, Michael Neubrand, Gert Schubring, Renate Tobies

Part V. National Presentations

22. Argentinean National Presentation
Esther Galina, Mónica Villarreal

23. Teachers’ Professional Development and Mathematics Education in Brazil
Victor Giraldo

24. Mathematics Education in Ireland
Maurice OReilly, Thérèse Dooley, Elizabeth Oldham, Gerry Shiel

25. National Presentation of Japan
Toshiakira Fujii

26. National Presentations of Lower Mekong Sub-region Countries
Fidel R. Nemenzo, Masami Isoda, Maitree Inprasitha, Sampan Thinwiangthong, Narumon Changsri, Nisakorn Boonsena, Chan Roth, Monkolsery Lin, Souksomphone Anothay, Phoutsakhone Channgakham, Nguyen Chi Thanh, Vũ Như Thư Hương, Phương Thảo Nguyễn

27. Teaching and Learning Mathematics in Turkey
Huriye Arikan

Part VI. Reports from the Topical Study Groups

28. Topic Study Group No. 1: Early Childhood Mathematics Education (Up to Age 7)
Elia Iliada, Joanne Mulligan, Ann Anderson, Anna Baccaglini-Frank, Christiane Benz

29. Topic Study Group No. 2: Mathematics Education at Tertiary Level
Victor Giraldo, Chris Rasmussen, Irene Biza, Azimehsadat Khakbaz, Reinhard Hochmuth

30. Topic Study Group No. 3: Mathematics Education in and for Work
Geoff Wake, Diana Coben, Burkhard Alpers, Keith Weeks, Peter Frejd

31. Topic Study Group No. 4: Activities for, and Research on, Mathematically Gifted Students
Florence Mihaela Singer, Linda Jensen Sheffield, Matthias Brandl, Viktor Freiman, Kyoko Kakihana

32. Topic Study Group No. 5: Classroom Practice and Research for Students with Mathematical Learning Difficulties
Lourdes Figueiras, Rose Griffiths, Karen Karp, Jens Holger Lorenz, Miriam Godoy Penteado

33. Topic Study Group No. 6: Adult Learning
Jürgen Maaß, Pradeep Kumar Misra, Terry Maguire, Katherine Safford-Ramus, Wolfgang Schlöglmann, Evelyn Süss-Stepancik

34. Topic Study Group No. 07: Popularization of Mathematics
Christian Mercat, Patrick Vennebush, Chris Budd, Carlota Simões, Jens Struckmeier

35. Topic Study Group No. 8: Teaching and Learning of Arithmetic and Number Systems (Focus on Primary Education)
Pi-Jen Lin, Terezinha Nunes, Shuhua An, Beatriz Vargas Dorneles, Elisabeth Rathgeb-Schnierer

36. Topic Study Group No. 9: Teaching and Learning of Measurement (Focus on Primary Education)
Christine Chambris, Barbara Dougherty, Kalyanasundaram (Ravi) Subramaniam, Silke Ruwisch, Insook Chung

37. Topic Study Group No. 10: Teaching and Learning of Early Algebra
Carolyn Kieran, JeongSuk Pang, Swee Fong Ng, Deborah Schifter, Anna Susanne Steinweg

38. Topic Study Group No. 11: Teaching and Learning of Algebra
Rakhi Banerjee, Amy Ellis, Astrid Fischer, Heidi Strømskag, Helen Chick

39. Topic Study Group No. 12: Teaching and Learning of Geometry (Primary Level)
Sinan Olkun, Ewa Swoboda, Paola Vighi, Yuan Yuan, Bernd Wollring

40. Topic Study Group No. 13: Teaching and Learning of Geometry—Secondary Level
Ui Hock Cheah, Patricio G. Herbst, Matthias Ludwig, Philippe R. Richard, Sara Scaglia

41. Topic Study Group No. 14: Teaching Learning of Probability
Carmen Batanero, Egan J. Chernoff, Joachim Engel, Hollylynne Stohl Lee, Ernesto Sánchez

42. Topic Study Group No. 15: Teaching and Learning of Statistics
Dani Ben-Zvi, Gail Burrill, Dave Pratt, Lucia Zapata-Cardona, Andreas Eichler

43. Topic Study Group No. 16: Teaching and Learning of Calculus
David Bressoud, Victor Martinez-Luaces, Imène Ghedamsi, Günter Törner

44. Topic Study Group No. 17: Teaching and Learning of Discrete Mathematics
Eric W. Hart, James Sandefur, Cecile O. Buffet, Hans-Wolfgang Henn, Ahmed Semri

45. Topic Study Group No. 18: Reasoning and Proof in Mathematics Education
Guershon Harel, Andreas J. Stylianides, Paolo Boero, Mikio Miyazaki, David Reid

46. Topic Study Group No. 19: Problem Solving in Mathematics Education
Peter Liljedahl, Manuel Santos-Trigo, Uldarico Malaspina, Guido Pinkernell, Laurent Vivier

47. Topic Study Group No. 20: Visualization in the Teaching and Learning of Mathematics
Michal Yerushalmy, Ferdinand Rivera, Boon Liang Chua, Isabel Vale, Elke Söbbeke

48. Topic Study Group No. 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics
Jussara Araújo, Gloria Ann Stillman, Morten Blomhøj, Toshikazu Ikeda, Dominik Leiss

49. Topic Study Group No. 22: Interdisciplinary Mathematics Education
Susie Groves, Julian Williams, Brian Doig, Rita Borromeo Ferri, Nicholas Mousoulides

50. Topic Study Group No. 23: Mathematical Literacy
Hamsa Venkat, Iddo Gal, Eva Jablonka, Vince Geiger, Markus Helmerich

51. Topic Study Group No. 24: History of the Teaching and Learning of Mathematics
Fulvia Furinghetti, Alexander Karp, Henrike Allmendinger, Johan Prytz, Harm Jan Smid

52. Topic Study Group No. 25: The Role of History of Mathematics in Mathematics Education
Constantinos Tzanakis, Xiaoqin Wang, Kathleen Clark, Tinne Hoff Kjeldsen, Sebastian Schorcht

53. Topic Study Group No. 26: Research on Teaching and Classroom Practice
Yoshinori Shimizu, Mary Kay Stein, Birgit Brandt, Helia Oliveira, Lijun Ye

54. Topic Study Group No. 27: Learning and Cognition in Mathematics
Gaye Williams, Wim Van Dooren, Pablo Dartnell, Anke Lindmeier, Jérôme Proulx

55. Topic Study Group No. 28: Affect, Beliefs and Identity in Mathematics Education
Markku Hannula, Francesca Morselli, Emine Erktin, Maike Vollstedt, Qiao-Ping Zhang

56. Topic Study Group No. 29: Mathematics and Creativity
Demetra Pitta-Pantazi, Dace Kūma, Alex Friedlander, Thorsten Fritzlar, Emiliya Velikova

57. Topic Study Group No. 30: Mathematical Competitions
Maria Falk de Losada, Alexander Soifer, Jaroslav Svrcek, Peter Taylor

58. Topic Study Group No. 31: Language and Communication in Mathematics Education
Judit Moschkovich, David Wagner, Arindam Bose, Jackeline Rodrigues Mendes, Marcus Schütte

59. Topic Study Group No. 32: Mathematics Education in a Multilingual and Multicultural Environment
Richard Barwell, Anjum Halai, Aldo Parra, Lena Wessel, Guida de Abreu

60. Topic Study Group No. 33: Equity in Mathematics Education (Including Gender)
Bill Atweh, Joanne Rossi Becker, Barbro Grevholm, Gelsa Knijnik, Laura Martignon, Jayasree Subramanian

61. Topic Study Group No. 34: Social and Political Dimensions of Mathematics Education
Murad Jurdak, Renuka Vithal, Peter Gates, Elizabeth Freitas, David Kollosche

62. Topic Study Group No. 35: Role of Ethnomathematics in Mathematics Education
Milton Rosa, Lawrence Shirley, Maria Elena Gavarrete, Wilfredo V. Alangui

63. Topic Study Group No. 36: Task Design, Analysis and Learning Environments Programme Summary
Jere Confrey, Jiansheng Bao, Anne Watson, Jonei Barbosa, Helmut Linneweber-Lammerskitten

64. Topic Study Group No. 37: Mathematics Curriculum Development
Anita Rampal, Zalman Usiskin, Andreas Büchter, Jeremy Hodgen, Iman Osta

65. Topic Study Group No. 38: Research on Resources (Textbooks, Learning Materials etc.)
Lianghuo Fan, Luc Trouche, Chunxia Qi, Sebastian Rezat, Jana Visnovska

66. Topic Study Group No. 39: Large Scale Assessment and Testing in Mathematics Education
Rae Young Kim, Christine Suurtamm, Edward Silver, Stefan Ufer, Pauline Vos

67. Topic Study Group No. 40: Classroom Assessment for Mathematics Learning
Denisse R. Thompson, Karin Brodie, Leonora Diaz Moreno, Nathalie Sayac, Stanislaw Schukajlow

68. Topic Study Group No. 41: Uses of Technology in Primary Mathematics Education (Up to Age 10)
Sophie Soury-Lavergne, Colleen Vale, Francesca Ferrara, Krongthong Khairiree, Silke Ladel

69. Topic Study Group No. 42: Uses of Technology in Lower Secondary Mathematics Education (Age 10–14)
Lynda Ball, Paul Drijvers, Bärbel Barzel, Yiming Cao, Michela Maschietto

70. Topic Study Group No. 43: Uses of Technology in Upper Secondary Education (Age 14–19)
Stephen Hegedus, Colette Laborde, Luis Moreno Armella, Hans-Stefan Siller, Michal Tabach

71. Topic Study Group No. 44: Distance Learning, e-Learning, and Blended Learning
Rúbia Barcelos Amaral, Veronica Hoyos, Els Geest, Jason Silverman, Rose Vogel

72. Topic Study Group No. 45: Knowledge in/for Teaching Mathematics at Primary Level
Carolyn A. Maher, Peter Sullivan, Hedwig Gasteiger, Soo Jin Lee

73. Topic Study Group No. 46: Knowledge in/for Teaching Mathematics at the Secondary Level
Ruhama Even, Xinrong Yang, Nils Buchholtz, Charalambos Charalambous, Tim Rowland

74. Topic Study Group No. 47: Pre-service Mathematics Education of Primary Teachers
Keiko Hino, Gabriel J. Stylianides, Katja Eilerts, Caroline Lajoie, David Pugalee

75. Topic Study Group No. 48: Pre-service Mathematics Education of Secondary Teachers
Marilyn Strutchens, Rongjin Huang, Leticia Losano, Despina Potari, Björn Schwarz

76. Topic Study Group No. 49: In-Service Education and Professional Development of Primary Mathematics Teachers
Akihiko Takahashi, Leonor Varas, Toshiakira Fujii, Kim Ramatlapana, Christoph Selter

77. Topic Study Group No. 50: In-Service Education, and Professional Development of Secondary Mathematics Teachers
Jill Adler, Yudong Yang, Hilda Borko, Konrad Krainer, Sitti Patahuddin

78. Topic Study Group No. 51: Diversity of Theories in Mathematics Education
Tommy Dreyfus, Anna Sierpinska, Stefan Halverscheid, Steve Lerman, Takeshi Miyakawa

79. Topic Study Group 52: Empirical Methods and Methodologies
David Clarke, Alan Schoenfeld, Bagele Chilisa, Paul Cobb, Christine Knipping

80. Topic Study Group No. 53: Philosophy of Mathematics Education
Paul Ernest, Ladislav Kvasz, Maria Bicudo, Regina Möller, Ole Skovsmose

81. Topic Study Group No. 54: Semiotics in Mathematics Education
Norma Presmeg, Luis Radford, Gert Kadunz, Luis Puig, Wolff-Michael Roth

Part VII. Reports from the Discussion Groups

82. Classroom Teaching Research for All Students
Shuhua An, Steklács János, Zhonghe Wu

83. Mathematical Discourse in Instruction in Large Classes
Mike Askew, Ravi K. Subramaniam, Anjum Halai, Erlina Ronda, Hamsa Venkat, Jill Adler, Steve Lerman

84. Sharing Experiences About the Capacity and Network Projects Initiated by ICMI
Angelina Matinde Bijura, Alphonse Uworwabayeho, Veronica Sarungi, Peter Kajoro, Anjum Halai

85. Mathematics Teacher Noticing: Expanding the Terrains of This Hidden Skill of Teaching
Ban Heng Choy, Jaguthsing Dindyal, Mi Yeon Lee, Edna O. Schack

86. Connections Between Valuing and Values: Exploring Experiences and Rethinking Data Generating Methods
Philip Clarkson, Annica Andersson, Alan Bishop, Penelope Kalogeropoulos, Wee Tiong Seah

87. Developing New Teacher Learning in Schools and the STEM Agenda
Pat Drake, Jeanne Carroll, Barbara Black, Lin Phillips, Celia Hoyles

88. Videos in Teacher Professional Development
Tanya Evans, Leong Yew Hoong, Ho Weng Kin

89. National and International Investment Strategies for Mathematics Education
Joan Ferrini-Mundy, Marcelo C. Borba, Fumi Ginshima, Manfred Prenzel, Thierry Zomahoun

90. Transition from Secondary to Tertiary Education
Gregory D. Foley, Sergio Celis, Hala M. Alshawa, Sidika Nihan Er, Heba Bakr Khoshaim, Jane D. Tanner

91. Teachers Teaching with Technology
Ian Galloway, Bärbel Barzel, Andreas Eichler

92. Mathematics Education and Neuroscience
Roland H. Grabner, Andreas Obersteiner, Bert Smedt, Stephan Vogel, Michael Aster, Roza Leikin, Hans-Christoph Nuerk

93. Reconsidering Mathematics Education for the Future
Koeno Gravemeijer, Fou-Lai Lin, Michelle Stephan, Cyril Julie, Minoru Ohtani

94. Challenges in Teaching Praxis When CAS Is Used in Upper Secondary Mathematics
Niels Groenbaek, Claus Larsen, Henrik Bang, Hans-Georg Weigand, Zsolt Lavicza, John Monaghan, M. Kathleen Heid, Mike Thomas, Paul Drijvers

95. Mathematics in Contemporary Art and Design as a Tool for Math-Education in School
Dietmar Guderian

96. Exploring the Development of a Mathematics Curriculum Framework: Cambridge Mathematics
Ellen Jameson, Rachael Horsman, Lynne McClure

97. Theoretical Frameworks and Ways of Assessment of Teachers’ Professional Competencies
Johannes König, Sigrid Blömeke, Gabriele Kaiser

98. Using Representations of Practice for Teacher Education and Research—Opportunities and Challenges
Sebastian Kuntze, Orly Buchbinder, Corey Webel, Anika Dreher, Marita Friesen

99. How Does Mathematics Education Evolve in the Digital Era?
Dragana Martinovic, Viktor Freiman

100. Scope of Standardized Tests
Raimundo Olfos, Ivan R. Vysotsky, Manuel Santos-Trigo, Masami Isoda, Anita Rampal

101. Mathematics for the 21st Century School: The Russian Experience and International Prospects
Sergei A. Polikarpov, Alexei L. Semenov

102. Lesson/Learning Studies and Mathematics Education
Marisa Quaresma, Carl Winsløw

103. Mathematics Houses and Their Impact on Mathematics Education
Ali Rejali, Peter Taylor, Yahya Tabesh, Jérôme Germoni, Abolfazl Rafiepour

104. An Act of Mathematisation: Familiarisation with Fractions
Ernesto Rottoli, Sabrina Alessandro, Petronilla Bonissoni, Marina Cazzola, Paolo Longoni, Gianstefano Riva

105. The Role of Post-Conflict School Mathematics
Carlos Eduardo Leon Salinas, Jefer Camilo Sachica Castillo

106. Applying Contemporary Philosophy in Mathematics and Statistics Education: The Perspective of Inferentialism
Maike Schindler, Kate Mackrell, Dave Pratt, Arthur Bakker

107. Teaching Linear Algebra
Sepideh Stewart, Avi Berman, Christine Andrews-Larson, Michelle Zandieh

108. Creativity, Aha!Moments and Teaching-Research
Hannes Stoppel, Bronislaw Czarnocha

109. White Supremacy, Anti-Black Racism, and Mathematics Education: Local and Global Perspectives
Luz Valoyes-Chávez, Danny B. Martin, Joi Spencer, Paola Valero

110. Research on Non-university Tertiary Mathematics
Claire Wladis, John Smith, Irene Duranczyk

Part VIII. Reports from the Workshops

111. Flipped Teaching Approach in College Algebra: Cognitive and Non-cognitive Gains
Maxima J. Acelajado

112. A Knowledge Discovery Platform for Spatial Education: Applications to Spatial Decomposition and Packing
Sorin Alexe, Cristian Voica, Consuela Voica

113. Designing Mathematics Tasks for the Professional Development of Teachers Who Teach Mathematics Students Aged 11–16Years
Debbie Barker, Craig Pournara

114. Contributing to the Development of Grand Challenges in Maths Education
David Barnes, Trena Wilkerson, Michelle Stephan

115. The Role of the Facilitator in Using Video for the Professional Learning of Teachers of Mathematics
Alf Coles, Aurelie Chesnais, Julie Horoks

116. Making Middle School Maths Real, Relevant and Fun
Kerry Cue

117. “Oldies but Goodies”: Providing Background to ICMI Mission and Activities from an Archival Perspective
Guillermo P. Curbera, Bernard R. Hodgson, Birgit Seeliger

118. Using Braids to Introduce Groups: From an Informal to a Formal Approach
Ester Dalvit

119. Curious Minds; Serious Play
Jan Lange

120. International Similarities and Differences in the Experiences and Preparation of Post-Graduate Mathematics Students as Tertiary Instructors
Jessica Deshler, Jessica Ellis

121. Using LISP as a Tool for Mathematical Experimentation
Hugo Alex Diniz

122. Mathematics Teachers’ Circles as Professional Development Models Connecting Teachers and Academics
Nathan Borchelt, Axelle Faughn

123. Exploring and Making Online Creative Digital Math Books for Creative Mathematical Thinking
Pedro Lealdino Filho, Christian Bokhove, Jean-Francois Nicaud, Ulrich Kortenkamp, Mohamed El-Demerdash, Manolis Mavrikis, Eirini Geraniou

124. The Shift of Contents in Prototypical Tasks Used in Education Reforms and Their Influence on Teacher Training Programs
Karl Fuchs, Christian Kraler, Simon Plangg

125. Analysis of Algebraic Reasoning and Its Different Levels in Primary and Secondary Education
Juan D. Godino, Teresa Neto, Miguel R. Wilhelmi

126. Designing and Evaluating Mathematical Learning by a Framework of Activities from History of Mathematics
Lenni Haapasalo, Harry Silfverberg, Bernd Zimmermann

127. Sounding Mathematics: How Integrating Mathematics and Music Inspires Creativity and Inclusion in Mathematics Education
Caroline Hilton, Markus Cslovjecsek

128. Adopting Maxima as an Open-Source Computer Algebra System into Mathematics Teaching and Learning
Natanael Karjanto, Husty Serviana Husain

129. The Power of Geometry in the Concept of Proof
Damjan Kobal

130. Workshop: Silent Screencast Videos and Their Use When Teaching Mathematics
Bjarnheiður Bea Kristinsdóttir

131. Shout from the Most Silent Nation, North Korea: Can Mathematics Education Be Politically Neutral?
JungHang Lee

132. Workshop Theme: “Use of Educational Large-Scale Assessment Data for Research on Mathematics Didactics”
Sabine Meinck, Oliver Neuschmidt, Milena Taneva

133. Curriculum Development in the Teaching of Mathematical Proof at the Secondary Schools in Japan
Tatsuya Mizoguchi, Hideki Iwasaki, Susumu Kunimune, Hiroaki Hamanaka, Takeshi Miyakawa, Yusuke Shinno, Yuki Suginomoto, Koji Otaki

134. Symmetry, Chirality, and Practical Origami Nanotube Construction Techniques
B. David Redman

135. Reflecting Upon Different Perspectives on Specialized Advanced Mathematical Knowledge for Teaching
Miguel Ribeiro, Arne Jakobsen, Alessandro Ribeiro, Nick H. Wasserman, José Carrillo, Miguel Montes, Ami Mamolo

136. Collaborative Projects in Geometry
José L. Rodríguez, David Crespo, Dolores Jiménez

137. Workshop on Framing Non-routine Problems in Mathematics for Gifted Children of Age Group 11–15
Sundaram R. Santhanam

138. Enacted Multiple Representations of Calculus Concepts, Student Understanding and Gender
Ileana Vasu

139. Using Inquiry to Teach Mathematics in Secondary and Post-secondary Education
Volker Ecke, Christine Renesse

140. Making of Cards as Teaching Material for Spatial Figures
Kazumi Yamada, Takaaki Kihara

141. Creative Mathematics Hands-on Activities in the Classroom
Janchai Yingprayoon

Part IX. Additional Activities

142. Teachers Activities at ICME-13
Nils Buchholtz, Marianne Nolte, Gabriele Kaiser

143. Early Career Researcher Day at ICME-13
Gabriele Kaiser, Thorsten Scheiner, Armin Jentsch

Keywords: Education, Mathematics Education, Learning & Instruction, Teaching and Teacher Education