Using large language models to support pre-service teachers mathematical reasoning—an exploratory study on ChatGPT as an instrument for creating mathematical proofs in geometry
In this exploratory study, the potential of large language models (LLMs), specifically ChatGPT to support pre-service primary education mathematics teachers in constructing mathematical proofs in geometry is investigated. Utilizing the theoretical framework of instrumental genesis, the prior experie...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-10-01
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| Series: | Frontiers in Artificial Intelligence |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/frai.2024.1460337/full |
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| author | Frederik Dilling Marc Herrmann |
| author_facet | Frederik Dilling Marc Herrmann |
| author_sort | Frederik Dilling |
| collection | DOAJ |
| description | In this exploratory study, the potential of large language models (LLMs), specifically ChatGPT to support pre-service primary education mathematics teachers in constructing mathematical proofs in geometry is investigated. Utilizing the theoretical framework of instrumental genesis, the prior experiences of students with LLMs, their beliefs about the operating principle and their interactions with the chatbot are analyzed. Using qualitative content analysis, inductive categories for these aspects are formed. Results indicate that students had limited prior experiences with LLMs and used them predominantly for applications that are not mathematics specific. Regarding their beliefs, most show only superficial knowledge about the technology and misconceptions are common. The analysis of interactions showed multiple types of in parts mathematics-specific prompts and patterns on three different levels from single prompts to whole chat interactions. |
| format | Article |
| id | doaj-art-1fb2d6ac68c1475c8258ce2cde940841 |
| institution | OA Journals |
| issn | 2624-8212 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Artificial Intelligence |
| spelling | doaj-art-1fb2d6ac68c1475c8258ce2cde9408412025-08-20T02:09:48ZengFrontiers Media S.A.Frontiers in Artificial Intelligence2624-82122024-10-01710.3389/frai.2024.14603371460337Using large language models to support pre-service teachers mathematical reasoning—an exploratory study on ChatGPT as an instrument for creating mathematical proofs in geometryFrederik DillingMarc HerrmannIn this exploratory study, the potential of large language models (LLMs), specifically ChatGPT to support pre-service primary education mathematics teachers in constructing mathematical proofs in geometry is investigated. Utilizing the theoretical framework of instrumental genesis, the prior experiences of students with LLMs, their beliefs about the operating principle and their interactions with the chatbot are analyzed. Using qualitative content analysis, inductive categories for these aspects are formed. Results indicate that students had limited prior experiences with LLMs and used them predominantly for applications that are not mathematics specific. Regarding their beliefs, most show only superficial knowledge about the technology and misconceptions are common. The analysis of interactions showed multiple types of in parts mathematics-specific prompts and patterns on three different levels from single prompts to whole chat interactions.https://www.frontiersin.org/articles/10.3389/frai.2024.1460337/fullChatGPTmathematics educationmathematical proofsteacher educationgenerative AIlarge language model |
| spellingShingle | Frederik Dilling Marc Herrmann Using large language models to support pre-service teachers mathematical reasoning—an exploratory study on ChatGPT as an instrument for creating mathematical proofs in geometry Frontiers in Artificial Intelligence ChatGPT mathematics education mathematical proofs teacher education generative AI large language model |
| title | Using large language models to support pre-service teachers mathematical reasoning—an exploratory study on ChatGPT as an instrument for creating mathematical proofs in geometry |
| title_full | Using large language models to support pre-service teachers mathematical reasoning—an exploratory study on ChatGPT as an instrument for creating mathematical proofs in geometry |
| title_fullStr | Using large language models to support pre-service teachers mathematical reasoning—an exploratory study on ChatGPT as an instrument for creating mathematical proofs in geometry |
| title_full_unstemmed | Using large language models to support pre-service teachers mathematical reasoning—an exploratory study on ChatGPT as an instrument for creating mathematical proofs in geometry |
| title_short | Using large language models to support pre-service teachers mathematical reasoning—an exploratory study on ChatGPT as an instrument for creating mathematical proofs in geometry |
| title_sort | using large language models to support pre service teachers mathematical reasoning an exploratory study on chatgpt as an instrument for creating mathematical proofs in geometry |
| topic | ChatGPT mathematics education mathematical proofs teacher education generative AI large language model |
| url | https://www.frontiersin.org/articles/10.3389/frai.2024.1460337/full |
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