New Book: Recent Developments on Introducing a Historical Dimension in Mathematics Education

Victor Katz and Constantinos Tzanakis (Eds.)

Recent Developments on Introducing a Historical Dimension in Mathematics Education consists of 24 papers (coming from 13 countries worldwide). The volume aims to constitute an all-embracing outcome of recent activities within the HPM Group (International Study Group on the Relations Between History and Pedagogy of Mathematics). We believe these articles will move the field forward and provide faculty with many new ideas for incorporating the history of mathematics into their teaching at various levels of education.

The book is organized into four parts. The first deals with theoretical ideas for integrating the history of mathematics into mathematics education. The second part contains research studies on the use of the history of mathematics in the teaching of numerous mathematics topics at several levels of education. The third part concentrates on how history can be used with prospective and current teachers of mathematics. We also include a special fourth part containing three purely historical papers based on invited talks at the HPM meeting of 2008. Two of these articles provide an overview of the development of mathematics in the Americas, while the third is a study of the astronomical origins of trigonometry.

You can see the Preface and all the abstracts. The book can be bought from MAA.

List of the 24 papers:
1: Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?, by David Pengelley
2: Dialogism in Mathematical Writing: Historical, Philosophical and Pedagogical Issues, by Evelyne Barbin
3: The Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities, by Gustavo Martinez-Sierra and Rocío Antonio-Antonio
4: Researching the History of Algebraic Ideas from an Educational Point of View, by Luis Puig
5: Equations and Imaginary Numbers: A Contribution from Renaissance Algebra, by Giorgio T. Bagni
6: The Multiplicity of Viewpoints in Elementary Function Theory: Historical and Didactical Perspectives, by Renaud Chorlay
7: From History to Research in Mathematics Education: Socio-Epistemological Elements for Trigonometric Functions, by Gabriela Buendia Abalos and Gisela Montiel Espinosa
8: Harmonies in Nature: A Dialogue Between Mathematics and Physics, by Man-Keung Siu
9: Exposure to Mathematics in the Making: Interweaving Math News Snapshots in the Teaching of High-School Mathematics, by Batya Amit, Nitsa Movshovitz-Hadar, and Avi Berman
10: History, Figures and Narratives in Mathematics Teaching, by Adriano Demattè and Fulvia Furinghetti
11: Pedagogy, History, and Mathematics: Measure as a Theme, by Luis Casas and Ricardo Luengo
12: Students’ Beliefs About the Evolution and Development of Mathematics, by Uffe Thomas Jankvist
13: Changes in Student Understanding of Function Resulting from Studying Its History, by Beverly M. Reed
14: Integrating the History of Mathematics into Activities Introducing Undergraduates to Concepts of Calculus, by Theodorus Paschos and Vassiliki Farmaki
15: History in a Competence Based Mathematics Education: A Means for the Learning of Differential Equations, by Tinne Hoff Kjeldsen
16: History of Statistics and Students’ Difficulties in Comprehending Variance, by Michael Kourkoulos and Constantinos Tzanakis
17: Designing Student Projects for Teaching and Learning Discrete Mathematics and Computer Science via Primary Historical Sources, by Janet Heine Barnett, Jerry Lodder, David Pengelley, Inna Pivkina and Desh Ranjan
18: History of Mathematics for Primary School Teacher Education Or: Can You Do Something Even if You Can’t Do Much?, by Bjørn Smestad
19: Reflections and Revision: Evolving Conceptions of a Using History Course, by Kathleen Clark
20: Mapping Our Heritage to the Curriculum: Historical and Pedagogical Strategies for the Professional Development of Teachers, by Leo Rogers
21: Teachers’ Conceptions of History of Mathematics, by Bjørn Smestad
22: The Evolution of a Community of Mathematical Researchers in North America: 1636-1950, by Karen Hunger Parshall
23: The Transmission and Acquisition of Mathematics in Latin America, from Independence to the First Half of the Twentieth Century, by Ubiratan D’Ambrosio
24: In Search of Vanishing Subjects: The Astronomical Origins of Trigonometry, by Glen Van Brummelen


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