Examining tenth-grade students' errors in applying Polya's problem-solving approach to Pythagorean theorem
Taamneh, Muntasir A. 
(Universitat de Barcelona)
Diez-Palomar, Javier 
(Universitat de Barcelona)
Mallart-Solaz, Albert 
(Universitat Autònoma de Barcelona. Departament de Didàctica de la Matemàtica i de les Ciències Experimentals)
| Date: |
2024 |
| Description: |
12 pàg. |
| Abstract: |
This study uses Polya's problem-solving strategy to explore student errors and causal factors in Pythagorean theorem problem-solving. The sample was drawn from tenth-grade students at Al Hosn Secondary School in Abu Dhabi, United Arab Emirates in the academic year 2023/2024. Data were collected using two methods: written examinations, as outlined in Polya's strategy, and interviews with students who committed errors. The research test instrument consists of 3 trigonometric problem-solving. From 30 students of Al Hosn Secondary School, there were 48. 9% of data errors, 50% of concept errors, 57. 8% of strategy errors, 47. 8% of calculation errors, and 14. 4% of careless errors. The errors made by the students originated from their inability to comprehend the geometric interpretation of the Pythagorean theorem, difficulties in applying algebraic operations, and challenges in modelling the data provided in the problems. |
| Rights: |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.  |
| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Trigonometric ;
Error ;
Pythagorean theorem ;
Polya's strategy ;
Problem-solving |
| Published in: |
Eurasia journal of mathematics science and technology education, Vol. 20 Núm. 12 (2024) , p. em2551, ISSN 1305-8223 |
DOI: 10.29333/ejmste/15707
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Record created 2024-12-13, last modified 2025-01-30