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Research and development in the teaching and learning of calculus

F103 Room

In order to contribute to the general program of ICME 11, Topic Study Group 16 seeks contributions on the research and development in the teaching and learning of calculus. The organizing team (OT) will review, select and organize contributions, some by invitation and some submitted by interested participants, that account for advances, new trends, and important work done in recent years on the teaching and learning processes of Calculus.

Papers may be selected for presentation in one of the four sessions the TSG will have at the Congress. Since the OT of TSG 16 typically receives more contributions that are considered worthwhile than can be presented orally at the Congress, another group of papers will be chosen to be distributed by hand as printed copies before the sessions and/or for downloading from the TSG’s web page.


Organizing team composition

Aim and Focus

Call for papers

Submissions and proposals

Provisional Program

Important dates

Papers and discussion documents

Team chairs:

Ricardo Cantoral (Mexico)

Team members:

Carmen Azcárate (Spain)

Chris Rasmussen (USA)

Yudariah Mohammad Yusof (Malayasia)

Aim and Focus

The aim of the group is to support the improvement of the teaching and learning of Calculus, taking into account differences due to cultural context.

The group will focus on how the traditional Calculus curriculum is being influenced by such phenomena as:

1) Results of research in mathematics education;

2) Recent approaches to mathematics

3) New technological resources; and

4) Several “reform” movements in teaching Calculus.

We hope to encourage reflection and discussion among participants, and, perhaps, disagreement among participants whose views of the discipline are different.

We will invite both short talks on a specific domain of research and a sharing of ideas about the teaching-learning interface of Calculus.

Among particular questions to be addressed:

• What are the proper objectives of a Calculus course?

• What are the connections between Calculus courses and courses in Precalculus, Mathematical Analysis, Discrete Mathematics and Differential Equations?

• Which conceptions of the content of the Calculus and of its teaching are at the base of teaching experiments?

• How has new technology affected the teaching of Calculus?

• What does “understanding” mean in the Calculus domain?

Call for papers

Any paper that contributes to at least one of the following mathematical educational issues will be considered:

(i) Studies on affect, attitude, or socioepistemological aspects of mathematics education as they relate to teaching and learning of Calculus.

(ii) Cognitive studies that examine students’ mental processes in the doing of mathematics related to Calculus.

(iii) Pedagogical studies at the preuniversity and university level concerning specific mathematical concepts and processes related to Calculus.

(iv) Studies that examine the role that teaching experiments, with or without technology, can play in enhancing the teaching and learning of Calculus topics.

Submissions and proposals

Researchers interested in presenting a paper should send an abstract of length between 500 and 1000 words. The abstracts submitted will be reviewed by the organizing team in order to select those individuals who will make presentations. The abstracts will also be used to help the organizing team to structure the sessions of the presentations. The abstract must be in English or/and Spanish, the main official languages of ICME-11.

Provisional Program

The program of the group’s activities is:

A) One of the four sessions will be in the form of a panel of several invited speakers. These speakers will have the same brief to select and to illustrate what they see as the most dynamical and most pertinent issues currently concerning the theme of this group. The members of the panel will be chosen such that their backgrounds will be as diverse as possible.

B) The others three sessions will be reserved for the presentation of submitted papers. It is envisaged that each speaker will have 20 minutes to deliver a paper (including discussion).

Important dates

Please send your abstract by January 27, 2008 through e-mail to e-mail addresses: with copies to,,

Authors will be notified by February 18, 2008 concerning the status of acceptance. All authors whose abstracts have been accepted must complete a full paper by June 1, 2008 to be placed on the official web-site of the ICME-11. Depending on the response, contributed papers may be published in a special issue of a journal or as an edited book.

Papers and discussion documents

01 Alanis (108.00 KB)

02 Arcos_Diaz_Vera (404.00 KB)

03 Baggett_Ehrenfeucht (73.00 KB)

04 Briceno_Cordero (146.00 KB)

05 Castañeda (251.00 KB)

06 Cuesta_Deulofeu_Mendez (178.00 KB)

07 Dray_Edwards_Manogue (85.00 KB)

08 Díaz Moreno (279.00 KB)

09 Frota (166.00 KB)

10 Hernandes_Silva (186.00 KB)

11 Henriques (120.00 KB)

12 Herrera_Preiss_Riera (210.00 KB)

13 Hohenwarter_et_al (399.00 KB)

14 Martínez-Sierra (73.00 KB)

15 Parra_Cordero (131.00 KB)

16 Jeschke_et_al (120.00 KB)

17 Rondero (84.00 KB)

18 Suárez_Cordero (659.00 KB)

19 Tuyub_Cantoral (462.00 KB)

20 Vazquez_Cordero (68.00 KB)

21 Quesada_Renker (112.00 KB)

22 Tarp (139.00 KB)

23_Rondero (77.00 KB)

Accepted papers TSG16 (108.00 KB)

Timetable TSG 16 (74.00 KB)