Flexibility and coordination among acts of visualization and analysis in a pattern generalization activity
(2011) In Journal of Mathematical Behavior 30. p.194-205- Abstract
- 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... (More) - 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/942dae54-0822-4c64-b38b-0c7dfd279c17
- author
- Nilsson, Per and Juter, Kristina LU
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Behavior
- volume
- 30
- pages
- 194 - 205
- publisher
- Elsevier
- external identifiers
-
- scopus:80053183255
- ISSN
- 1873-8028
- DOI
- 10.1016/j.jmathb.2011.07.002
- language
- English
- LU publication?
- no
- id
- 942dae54-0822-4c64-b38b-0c7dfd279c17
- date added to LUP
- 2024-03-07 21:38:57
- date last changed
- 2024-03-14 14:04:39
@article{942dae54-0822-4c64-b38b-0c7dfd279c17,
abstract = {{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.<br/><br/>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.<br/><br/>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.}},
author = {{Nilsson, Per and Juter, Kristina}},
issn = {{1873-8028}},
language = {{eng}},
pages = {{194--205}},
publisher = {{Elsevier}},
series = {{Journal of Mathematical Behavior}},
title = {{Flexibility and coordination among acts of visualization and analysis in a pattern generalization activity}},
url = {{http://dx.doi.org/10.1016/j.jmathb.2011.07.002}},
doi = {{10.1016/j.jmathb.2011.07.002}},
volume = {{30}},
year = {{2011}},
}