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ERIC Number: EJ1344628
Record Type: Journal
Publication Date: 2022-Apr
Pages: 11
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-2503-3697
EISSN: EISSN-2541-2590
Available Date: N/A
Students' Understanding of a Geometric Theorem: A Case of Grade 9 Problem Posing
Patac, Adriano Villarosa, Jr.; Patac, Louida Penera; Crispo, Nicolas Ensomo, Jr.
Journal of Research and Advances in Mathematics Education, v7 n2 p105-115 Apr 2022
Teaching axiomatic representation of mathematical objects in all grades can and should be done. The paper analyzes students' understanding and how they perceive theorems using problem posing. We looked at how English-language learners create questions about four geometric theorems from a 9th-grade math textbook. The analysis looks at the question's distinctiveness, its elements' relationships, and sentence structure flaws. These lines, angle, and triangle theorems were chosen to exemplify problem scenarios when a theorem is conveyed in words but not explicitly symbolized. The difficulty of posing mathematically relevant problems stems from the required process of simultaneously changing the theorem language, home language, and formal mathematics language. In Van Hiele's methodology, the pupils' issues aren't classified as a formal or informal deduction. Questions either deduce from a formal system or emphasize theorems. Mastering the required representation registers can assist students in posing problems that reflect, at the very least, at the formal deduction level. The absence of symbolic representation increases the difficulty in posing original problems involving geometric theorems. As a result, how problems are made, especially how they are written, shows how well students understand math through problem-posing.
Universitas Muhammadiyah Surakarta Department of Education. Ahmad Yani Street, Pabelan Kartasura, Surakarta, Central Java, 57162 Indonesia. Tel: +62-271-717417 ext. 2554; e-mail: jramathedu@ums.ac.id; Web site: http://journals.ums.ac.id/index.php/jramathedu
Publication Type: Journal Articles; Reports - Research
Education Level: High Schools; Secondary Education; Grade 9; Junior High Schools; Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Philippines
Grant or Contract Numbers: N/A
Author Affiliations: N/A