lnu.sePublikasjoner
Endre søk

Referera
Referensformat
• apa
• ieee
• modern-language-association-8th-edition
• vancouver
• Annet format
Fler format
Språk
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Annet språk
Fler språk
Utmatningsformat
• html
• text
• asciidoc
• rtf
Different ways in which students handle chance encounters in the explorative setting of a dice game
Växjö universitet, Fakulteten för matematik/naturvetenskap/teknik, Matematiska och systemtekniska institutionen. Matematikdidaktik.
2007 (engelsk)Inngår i: Educational Studies in Mathematics, ISSN 0013-1954Artikkel i tidsskrift (Fagfellevurdert) Published
##### Abstract [en]

The purpose of this study is to investigate the ways in which Swedish seventh grade students (12 and 13 years old) handle chance encounters. Four groups of students working in pairs participated in the study. In the group discussions, which were tape-recorded and fully transcribed, the students were encouraged to explore strategies for winning a specifically designed dice game based on the sum of two dice. The dice game included four different set-ups of dice designed to bring to the fore different aspects of probability modelling and to offer the student the opportunity to encounter small differences in the mathematical structure of the sample space and of the probability distribution between the four different set-ups. The study describes strategies that the students use when confronted with these different set-ups, what their activities imply in terms of resources in handling random phenomena and what the dice game offers in terms of opportunities for learning probability. In order to explain such meaning-making processes the students’ activities are viewed from a perspective that takes into consideration how the students’ understanding varies with their interpretations of the situation they are confronted with, i.e., how they contextualize the different set-ups of the dice game. The results show how the students, during the course of the game, reorganize their interpretations of the mathematical content confronting them, and how a variation of guiding principles becomes the object of exploration. Approaches of extremes and a number model are described as a means for the students to identify and assign probabilities for the total of two dice.

##### Emneord [en]
Chance encounters, Probability thinking, Contextualization, Resources, Strategies, Dice game
##### Forskningsprogram
Matematik, Matematikdidaktik
##### Identifikatorer
OAI: oai:DiVA.org:vxu-4421DiVA, id: diva2:204379
Artikeln har inte kommit i tryck ännu. Den finns online på länken:http://www.springerlink.com/content/081353mw67826w16/Tilgjengelig fra: 2007-03-30 Laget: 2007-03-30 Sist oppdatert: 2010-03-10bibliografisk kontrollert

#### Open Access i DiVA

Fulltekst mangler i DiVA

Nilsson, Per

Nilsson, Per

urn-nbn

#### Altmetric

urn-nbn
Totalt: 129 treff

Referera
Referensformat
• apa
• ieee
• modern-language-association-8th-edition
• vancouver
• Annet format
Fler format
Språk
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Annet språk
Fler språk
Utmatningsformat
• html
• text
• asciidoc
• rtf