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An analysis of grade 11 learners’ errors in trigonometric function graphs
Dissertation (MEd)--University of Pretoria, 2023.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2023
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| _version_ | 1867613687898963969 |
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| access_status_str | Open Access |
| author2 | Botha, Hanlie |
| author_browse | Botha, Hanlie |
| author_facet | Botha, Hanlie |
| 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)--University of Pretoria, 2023. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/91463 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:40:07.008Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| 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:2263/91463 An analysis of grade 11 learners’ errors in trigonometric function graphs Botha, Hanlie ronkeadebayo_fds@yahoo.cpom Ogbonnaya, Ugorji Adebayo, Ronke Error Error analysis Trigonometry Misconceptions Concepts Functions UCTD Dissertation (MEd)--University of Pretoria, 2023. This research study explored the types of errors that Grade 11 learners make in trigonometric function graphs and the possible causes of these errors. The investigation was done in the quest for answers to these two research sub-questions: 1) Which types of errors do Grade 11 learners make in trigonometric function graphs? 2) What causes Grade 11 learners to make these errors? Brown and Skow’s (2016), Newman’s (1977), Oktaviani’s (2017), Radatz's (1979), and Smith et al.’s (1993) research were used to guide the deductive data analysis process of this study. The investigation was an exploratory case study conducted at three secondary schools in Tshwane, Gauteng Province-South Africa. Qualitative data were generated within the interpretive paradigm based on the researcher’s experience and insight into errors made in trigonometric function graphs. Thirty sampled learners' test scripts were analysed for error types, while fifteen of those learners were interviewed for possible causes of errors. Content analysis of the data generated from the test administered and the interview scheduled was done. There were 17 items in the administered test and were divided into four categories of concepts for the purpose of data analysis. The findings from the test revealed that Grade 11 learners committed comprehension error in Concept 1 and Concept 3. It was further revealed that in Concept 4, encoding error was prevalent, lastly, misconceptions were notable errors in Concept 1 and 2. Also, this investigation identified the possible causes of these errors as: difficulties in obtaining spatial information; deficient mastery of pre-requisite skills, facts, and concept and the application of irrelevant rules or strategies. Science, Mathematics and Technology Education MEd Unrestricted 2023-07-14T12:53:39Z 2023-07-14T12:53:39Z 2023-09 2023 Dissertation * S2023 http://hdl.handle.net/2263/91463 10.25403/UPresearchdata.23684799 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 | Error Error analysis Trigonometry Misconceptions Concepts Functions UCTD An analysis of grade 11 learners’ errors in trigonometric function graphs |
| title | An analysis of grade 11 learners’ errors in trigonometric function graphs |
| title_full | An analysis of grade 11 learners’ errors in trigonometric function graphs |
| title_fullStr | An analysis of grade 11 learners’ errors in trigonometric function graphs |
| title_full_unstemmed | An analysis of grade 11 learners’ errors in trigonometric function graphs |
| title_short | An analysis of grade 11 learners’ errors in trigonometric function graphs |
| title_sort | analysis of grade 11 learners errors in trigonometric function graphs |
| topic | Error Error analysis Trigonometry Misconceptions Concepts Functions UCTD |
| url | http://hdl.handle.net/2263/91463 |