Primary students' reasoning about diagrams: The building blocks of matrix knowledge

Diezmann, Carmel M. (2006) Primary students' reasoning about diagrams: The building blocks of matrix knowledge. In Novotna, J., Moraova, H., Kratka, M., & Stehlikova, N. (Eds.) 30th Annual Psychology of Mathematics Education Conference: Mathematics in the centre, 16-21 July 2006, Prague.


This paper reports on the development of primary students’ ability to justify their reasoning for the selection of the matrix as an appropriate representation for specific mathematical scenarios. The results over a 3-year period revealed that less than 50% of students were able to justify their selections adequately and that this percentage dropped substantially with age. Additionally, although 20% of students’ provided more adequate explanations over time, 73% of students declined in their explanations or provided erratic or consistently inadequate explanations. These results suggest the need for explicit instruction in diagram use because there is scant evidence that a generic focus in the curriculum on representation, reasoning and communication is sufficient to support students to develop sound diagrammatic knowledge.

Impact and interest:

Citation counts are sourced monthly from Scopus and Web of Science® 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 the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

521 since deposited on 01 Nov 2007
28 in the past twelve months

Full-text downloads displays 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.

ID Code: 10492
Item Type: Conference Paper
Refereed: Yes
Additional URLs:
Keywords: mathematics, primary, diagrams, matrix, curriculum, explanation
ISSN: 0771-100X
Divisions: Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 2006 Carmel M. Diezmann
Deposited On: 01 Nov 2007 00:00
Last Modified: 29 Feb 2012 13:26

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page