Dilling, Frederik
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Publication Access status: Metadata only , Beliefs of Undergraduate Mathematics Education Students in a Teacher Education Program about Visual Programming in Mathematics Classes(2024); ; In the digital age, the range of digital technologies used in mathematics education grows. Since beliefs are affective-cognitive elements that significantly determine teachers' behavior in the classroom, they are an interesting field of research in mathematics education. A review of previous research has identified different groups of beliefs about the use of digital technologies in mathematics classes. These studies are not focused on specific digital technologies. In an empirical case study that is presented in this paper, the aim was to figure out how beliefs that can be described specifically about the use of visual programming relate to general beliefs about the use of digital technologies in mathematics education. A qualitative content analysis of the reflection journals of seven undergraduate mathematics education students on their work with Scratch, a visual programming environment, in a university seminar led to the formation of ten belief categories about the use of visual programming in mathematics classes. Most of the beliefs are associated with a positive attitude towards visual programming in mathematics education. However, some beliefs could also be identified that refer to the limits and challenges of using visual programming and thus demonstrate rather negative associations. Only a few of the categories identified match the list of belief groups about digital technologies in mathematics education identified in previous research. Some possible reasons for these results are discussed and further research interests in the field of beliefs about the use of digital technologies are suggested.Source Type:Article1 - Some of the metrics are blocked by yourconsent settings
Publication Access status: Metadata only , Beliefs-oriented subject-matter didactics(2024); ; This paper presents a modified approach to subject-matter didactics, in which the focus is not on the content itself, but on the students' view of the content. The introduction deals with an overview of subject-matter didactics and the notion of beliefs used in this paper. The main portion of the paper deals with presenting the concepts of a book and a seminar based on the student-centered subject-matter didactics approach. For the first qualitative evaluation, selected reflections of students are analyzed. Finally, initial findings are summarized and an outlook is provided.Source Type:Article2 - Some of the metrics are blocked by yourconsent settings
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Publication Access status: Metadata only , 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(2024); 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.Source Type:Article1
