Worked-examples instruction versus Van Hiele teaching phases: A demonstration of students' procedural and conceptual understanding

Title
Worked-examples instruction versus Van Hiele teaching phases: A demonstration of students' procedural and conceptual understanding
Publication Date
2022-06-01
Author(s)
Adeniji, Saidat
( author )
OrcID: https://orcid.org/0000-0002-9670-0321
Email: sadeniji@myune.edu.au
UNE Id une-id:sadeniji
Baker, Penelope
( author )
OrcID: https://orcid.org/0000-0001-6775-178X
Email: pbaker31@une.edu.au
UNE Id une-id:pbaker31
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
The Indonesian Mathematical Society
Place of publication
Indonesia
DOI
10.22342/jme.v13i2.pp337-356
UNE publication id
une:1959.11/53501
Abstract

This study explores the worked-example instruction (WEI) and the van Hiele teaching phases (VHTP) pedagogies to advance students' acquisition of procedural and conceptual understanding of solving simultaneous equations. The quasi-experimental study involved two groups of high school students (age=15): 157 students in total with 72 in one group and 85 in the other. The study followed a pre-, post- and delay tests design. This study adapted two conceptual frameworks, the structure of the observed learning outcomes (SOLO) model and the Rasch model, and employed Rasch analysis and Statistical Package for Social Sciences (SPSS) as data analysis tools. The results indicated that both WEI and VHTP improved students' procedural and conceptual understanding of solving simultaneous equations at the post-test; however, the WEI effects (on both procedural and conceptual understanding) were not sustained after the post-test while the VHTP had a lasting effect on only conceptual understanding. Furthermore, the VHTP group significantly outperformed the WEI group at the post-test and delay test in both conceptual and procedural understanding. These results indicated that the WEI is only beneficial at the initial stage of knowledge acquisition and VHTP is better at the initial and long-term. Practical implications of these results were discussed.

Link
Citation
Journal on Mathematics Education, 13(2), p. 337-372
ISSN
2407-0610
2087-8885
Start page
337
End page
372
Rights
Attribution 4.0 International

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