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Grade 11 learners’ proficiencies in solving Euclidean geometry problems
Dissertation (Med (Science, Mathematics and Technology Education))--University of Pretoria, 2023.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2024
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| _version_ | 1867613714394382336 |
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| access_status_str | Open Access |
| author2 | Ogbonnaya, Ugorji |
| author_browse | Ogbonnaya, Ugorji |
| author_facet | Ogbonnaya, Ugorji |
| collection | Thesis |
| dc_rights_str_mv | © 2023 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (Med (Science, Mathematics and Technology Education))--University of Pretoria, 2023. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/97006 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:40:31.851Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/97006 Grade 11 learners’ proficiencies in solving Euclidean geometry problems Ogbonnaya, Ugorji rogermayani@yahoo.fr Akuma, Fru Vitalis Mayani, Roger Mubango UCTD Sustainable development goals (SDGs) Euclidean geometry Problem solving Problem-solving proficiency Conceptual understanding Procedural knowledge Adaptive reasoning SDG-04: Quality education Education theses SDG-04 SDG-10: Reduced inequalities Education theses SDG-10 SDG-09: Industry, innovation and infrastructure Education theses SDG-09 Dissertation (Med (Science, Mathematics and Technology Education))--University of Pretoria, 2023. Acquiring conceptual understanding, procedural knowledge, and adaptive reasoning is imperative for developing problem-solving proficiencies in learners. However, while there are a few studies on mathematical proficiencies in South Africa, there is a lack of research on learners’ proficiencies in Euclidean geometry (EG) that combine conceptual understanding, procedural knowledge, and adaptive reasoning in the same study. The purpose of the current study was to explore the problem-solving proficiencies of learners in EG in terms of conceptual understanding, procedural knowledge and adaptive reasoning. The current study was underpinned by a five-strand mathematical proficiency framework consisting of conceptual understanding, procedural knowledge, strategic competence, adaptive reasoning, and productive disposition. Based on an interpretivist philosophical stance, the study used a qualitative approach. Specifically, using convenience sampling strategy, a sample of 200 learners was selected from 10 schools in the Vhembe East District in Limpopo, South Africa. A Euclidean geometry proficiency test (EGPT) was used as a starting point towards the acquisition of qualitative data for this project. The current study used the Oregon Mathematics Problem Solving Rubric and the Rubric of Mathematical Adaptive Reasoning as its framework for analysing the learners’ solutions to the problems in the EGPT. The findings show that on questions of predominantly conceptual knowledge, 87% of the participants were ranked novice problem solvers; on questions of predominantly procedural knowledge, 85% of the participants were classified as novice problem solvers. In addition, 89% of the participants were ranked poor in adaptive reasoning. Future research in South Africa should examine the mathematics proficiencies of learners in various districts throughout several provinces to uncover the general trend in the mathematical proficiency of learners. Science, Mathematics and Technology Education MEd Restricted Faculty of Education SDG-04: Quality Education 2024-07-15T08:45:31Z 2024-07-15T08:45:31Z 2024-09-14 2023-12-20 Dissertation * S2024 http://hdl.handle.net/2263/97006 https://liabrary.up.ac.za en © 2023 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | UCTD Sustainable development goals (SDGs) Euclidean geometry Problem solving Problem-solving proficiency Conceptual understanding Procedural knowledge Adaptive reasoning SDG-04: Quality education Education theses SDG-04 SDG-10: Reduced inequalities Education theses SDG-10 SDG-09: Industry, innovation and infrastructure Education theses SDG-09 Grade 11 learners’ proficiencies in solving Euclidean geometry problems |
| title | Grade 11 learners’ proficiencies in solving Euclidean geometry problems |
| title_full | Grade 11 learners’ proficiencies in solving Euclidean geometry problems |
| title_fullStr | Grade 11 learners’ proficiencies in solving Euclidean geometry problems |
| title_full_unstemmed | Grade 11 learners’ proficiencies in solving Euclidean geometry problems |
| title_short | Grade 11 learners’ proficiencies in solving Euclidean geometry problems |
| title_sort | grade 11 learners proficiencies in solving euclidean geometry problems |
| topic | UCTD Sustainable development goals (SDGs) Euclidean geometry Problem solving Problem-solving proficiency Conceptual understanding Procedural knowledge Adaptive reasoning SDG-04: Quality education Education theses SDG-04 SDG-10: Reduced inequalities Education theses SDG-10 SDG-09: Industry, innovation and infrastructure Education theses SDG-09 |
| url | http://hdl.handle.net/2263/97006 https://liabrary.up.ac.za |