Mathematical Level Raising Through Collaborative Investigations with the Computer

Authors: Pijls M.1; Dekker R.2; van Hout-Wolters B.2

Source: International Journal of Computers for Mathematical Learning, Volume 8, Number 2, 2003 , pp. 191-213(23)

Publisher: Springer

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

Abstract:

Investigations with the computer can have different functions in the mathematical learning process, such as to let students explore a subject domain, to guide the process of reinvention, or to give them the opportunity to apply what they have learned. Which function has most effect on mathematical level raising? We investigated that question in the context of developing learning materials for 16-year-old students in the domain of probability theory, consisting of computer simulations based on a gambling game and investigation tasks about these games. We compared the difference in level raising between three versions of the learning materials: investigations with the computer before, during or after the learning of a mathematical concept. It was shown that there was no significant difference in the final mathematical level that students attained in the three conditions (the product). However, there were differences in the level on which students approached the investigation tasks (the process). Furthermore, we found evidence of new categories in the students' answers, lying between the perceptual and conceptual levels, which may give important insight into the process of level raising.

Keywords: collaborative learning; computer simulation; investigations; mathematical level raising; probability theory

Document Type: Research article

Affiliations: 1: Universiteit van Amsterdam, Graduate School of Teaching and Learning, Wibautstraat 2–4, 1091 GM Amsterdam, The Netherlands, Email: moniquep@ilo.uva.nl 2: Universiteit van Amsterdam, Graduate School of Teaching and Learning, Wibautstraat 2–4, 1091 GM Amsterdam, The Netherlands

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$47.00 plus tax      Refund Policy

 

OR

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages.
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A