Recent Developments on Introducing a Historical Dimension in Mathematics Education

doi:10.5948/UPO9781614443001

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.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Contents

1 - Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?
pp 1-8
- By David Pengelley, New Mexico State University
- Export citation

2 - Dialogismin Mathematical Writing: Historical, Philosophical and Pedagogical Issues
pp 9-16
- By Evelyne Barbin, Université de Nantes, France
- Export citation

3 - The Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities
pp 17-28
- By Gustavo Martinez-Sierra, CICATA-IPN, Mexico, Rocío Antonio-Antonio, CICATA-IPN, Mexico
- Export citation

4 - Researching the History of Algebraic Ideas from an Educational Point of View
pp 29-44
- By Luis Puig, Universidad de Valencia, Spain
- Export citation

5 - Equations and Imaginary Numbers: A Contribution from Renaissance Algebra
pp 45-56
- By Giorgio T. Bagni, University of Udine, Italy
- Export citation

6 - The Multiplicity of Viewpoints in Elementary Function Theory: Historical and Didactical Perspectives
pp 57-66
- By Renaud Chorlay, IREM de l'Université Paris, France
- Export citation

7 - From History to Research in Mathematics Education: Socio-Epistemological Elements for Trigonometric Functions
pp 67-82
- By Gabriela Buendia Abalos, Centro de Investigación en Ciencia Avanzada y Tecnología Aplicada del IPN, Mexico, Gisela Montiel Espinosa, Centro de Investigación en Ciencia Avanzada y Tecnología Aplicada del IPN, Mexico
- Export citation

8 - Harmonies in Nature: A Dialogue Between Mathematics and Physics
pp 83-90
- By Man-Keung Siu, University of Hong Kong
- Export citation

9 - Exposure to Mathematics in the Making: Interweaving Math News Snapshots in the Teaching of High-School Mathematics
pp 91-102
- By Batya Amit, Institute of Technology, Israel, Nitsa Movshovitz-Hadar, Institute of Technology, Israel, Avi Berman, Institute of Technology, Israel
- Export citation

10 - History, Figures and Narratives in Mathematics Teaching
pp 103-112
- By Adriano Demattè, University of Genova, Italy, Fulvia Furinghetti, University of Genova, Italy
- Export citation

11 - Pedagogy, History, and Mathematics: Measure as a Theme
pp 113-122
- By Luis Casas, Universidad de Extremadura, Spain, Ricardo Luengo, Universidad de Extremadura, Spain
- Export citation

12 - Students' Beliefs About the Evolution and Development of Mathematics
pp 123-132
- By Uffe Thomas Jankvist, University of Southern Denmark
- Export citation

13 - Changes in Student Understanding of Function Resulting from Studying Its History
pp 133-144
- By Beverly M. Reed, Kent State University
- Export citation

14 - Integrating the History of Mathematics into Activities Introducing Undergraduates to Concepts of Calculus
pp 145-164
- By Theodorus Paschos, University of Athens, Greece, Vassiliki Farmaki, University of Athens, Greece
- Export citation

15 - History in a Competence Based Mathematics Education: A Means for the Learning of Differential Equations
pp 165-174
- By Tinne Hoff Kjeldsen, Roskilde University, Denmark
- Export citation

16 - History of Statistics and Students' Difficulties in Comprehending Variance
pp 175-186
- By Michael Kourkoulos, University of Crete, Greece, Constantinos Tzanakis, University of Crete, Greece
- Export citation

17 - Designing Student Projects for Teaching and Learning Discrete Mathematics and Computer Science via Primary Historical Sources
pp 187-200
- By Janet Heine Barnett, Colorado State University, Jerry Lodder, Pueblo and New Mexico State University, David Pengelley, Pueblo and New Mexico State University, Inna Pivkina, Pueblo and New Mexico State University, Desh Ranjan, Pueblo and New Mexico State University
- Export citation

18 - History of Mathematics for Primary School Teacher Education Or: Can You Do Something Even if You Can't Do Much?
pp 201-210
- By Bjørn Smestad, Oslo University College
- Export citation

19 - Reflections and Revision: Evolving Conceptions of a Using History Course
pp 211-220
- By Kathleen Clark, Florida State University
- Export citation

21 - Teachers' Conceptions of History of Mathematics
pp 231-240
- By Bjørn Smestad, Oslo University College
- Export citation

22 - The Evolution of a Community of Mathematical Researchers in North America: 1636–1950
pp 241-250
- By Karen Hunger Parshall, University of Virginia
- Export citation

23 - The Transmission and Acquisition of Mathematics in Latin America, from Independence to the First Half of the Twentieth Century
pp 251-260
- By Ubiratan D'Ambrosio, UNICAMP and UNIBAN, Brazil
- Export citation

24 - In Search of Vanishing Subjects: The Astronomical Origins of Trigonometry
pp 261-272
- By Glen Van Brummelen, Quest University, Canada
- Export citation

Metrics

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Recent Developments on Introducing a Historical Dimension in Mathematics Education

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-vi

Preface
pp vii-x

Contents
pp xi-xvi

1 - Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?
pp 1-8

2 - Dialogismin Mathematical Writing: Historical, Philosophical and Pedagogical Issues
pp 9-16

3 - The Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities
pp 17-28

4 - Researching the History of Algebraic Ideas from an Educational Point of View
pp 29-44

5 - Equations and Imaginary Numbers: A Contribution from Renaissance Algebra
pp 45-56

6 - The Multiplicity of Viewpoints in Elementary Function Theory: Historical and Didactical Perspectives
pp 57-66

7 - From History to Research in Mathematics Education: Socio-Epistemological Elements for Trigonometric Functions
pp 67-82

8 - Harmonies in Nature: A Dialogue Between Mathematics and Physics
pp 83-90

9 - Exposure to Mathematics in the Making: Interweaving Math News Snapshots in the Teaching of High-School Mathematics
pp 91-102

10 - History, Figures and Narratives in Mathematics Teaching
pp 103-112

11 - Pedagogy, History, and Mathematics: Measure as a Theme
pp 113-122

12 - Students' Beliefs About the Evolution and Development of Mathematics
pp 123-132

13 - Changes in Student Understanding of Function Resulting from Studying Its History
pp 133-144

14 - Integrating the History of Mathematics into Activities Introducing Undergraduates to Concepts of Calculus
pp 145-164

15 - History in a Competence Based Mathematics Education: A Means for the Learning of Differential Equations
pp 165-174

16 - History of Statistics and Students' Difficulties in Comprehending Variance
pp 175-186

17 - Designing Student Projects for Teaching and Learning Discrete Mathematics and Computer Science via Primary Historical Sources
pp 187-200

18 - History of Mathematics for Primary School Teacher Education Or: Can You Do Something Even if You Can't Do Much?
pp 201-210

19 - Reflections and Revision: Evolving Conceptions of a Using History Course
pp 211-220

20 - Mapping Our Heritage to the Curriculum: Historical and Pedagogical Strategies for the Professional Development of Teachers
pp 221-230

21 - Teachers' Conceptions of History of Mathematics
pp 231-240

22 - The Evolution of a Community of Mathematical Researchers in North America: 1636–1950
pp 241-250

23 - The Transmission and Acquisition of Mathematics in Latin America, from Independence to the First Half of the Twentieth Century
pp 251-260

24 - In Search of Vanishing Subjects: The Astronomical Origins of Trigonometry
pp 261-272

About the Editors
pp 273-273

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information

Recent Developments on Introducing a Historical Dimension in Mathematics Education

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information