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Flexibility and coordination among acts of visualization and analysis in a pattern generalization activity
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (Matematikdidaktik)
Kristianstad University, Sweden.
2011 (English)In: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028, Vol. 30, no 3, p. 194-205Article in journal (Refereed) Published
Abstract [en]

This study aims at exploring processes of flexibility and coordination among acts of visualization and analysis in students’ attempt to reach a general formula for a three-dimensional pattern generalizing task.

The investigation draws on a case-study analysis of two 15-year-old girls working together on a task in which they are asked to calculate the number of blocks in a three-dimensional tower of different heights. The students’ activity was video- and audio-taped, fully transcribed and lasted for 50 min.

The analysis discloses several instances of how the students were linking acts of visualization and analysis to reach a general formula. However, regarding flexibility, we found that it was more natural for the students to change visual format than to change analytical position and direction in their attempts to generalize the three-dimensional pattern of the task in a closed formula.

Place, publisher, year, edition, pages
2011. Vol. 30, no 3, p. 194-205
Keywords [en]
Flexibility; Coordination; Visualization; Analysis; Pattern generalization
National Category
Other Mathematics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-14704DOI: 10.1016/j.jmathb.2011.07.002Scopus ID: 2-s2.0-80053183255OAI: oai:DiVA.org:lnu-14704DiVA, id: diva2:445641
Available from: 2011-10-04 Created: 2011-10-04 Last updated: 2017-12-08Bibliographically approved

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Publisher's full textScopushttp://www.sciencedirect.com/science/article/pii/S0732312311000320

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Nilsson, Per

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf