Children's strategies for solving two - and three - dimensional combinatorial problems
English, Lyn D. (2007) Children's strategies for solving two - and three - dimensional combinatorial problems. In Leder, Gilah C. & Forgasz, Helen J. (Eds.) Stepping stones for the 21st century : Australasian mathematics education research. Sense Publishers, The Netherlands, pp. 139-156.
The study investigated the strategies that 7- to 12-year-old children spontaneously apply to the solution of novel combinatorial problems. The children were individually administered a set of six problems involving the dressing of toy bears in all possible combinations of tops and pants (twodimensional) or tops, pants, and tennis rackets (three-dimensional). Two sets of solution procedures were identified, each comprising a series of five increasingly complex strategies ranging from trial-and-error approaches to sophisticated odometer procedures. Results suggested that experience with the two-dimensional problems enabled children to adopt and subsequently transform their efficient 2-D odometer strategy (where one item is held
constant) into the most sophisticated 3-D odometer strategy, which involved working simultaneously with two constant items. The study highlights the importance of discrete mathematics as a source of problem-solving activities in which children are motivated to create, modify, and extend their own theories.
Citation countsare sourced monthly fromand citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
|Item Type:||Book Chapter|
|Additional Information:||For more information about this book please refer to the publisher's website (see link) or contact the author.|
|Divisions:||Current > Schools > School of Curriculum|
Current > QUT Faculties and Divisions > Faculty of Education
|Copyright Owner:||Copyright 2007 Sense Publishers|
|Deposited On:||07 Apr 2009 13:37|
|Last Modified:||25 Mar 2013 18:08|
Repository Staff Only: item control page