tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT In vocational education, the learning content is often considered as concrete and specific, and the vocational learning involves physical work and interactions between participants and artefacts. Furthermore, one teacher has the overall responsibility for several students during classes in the vocational workshop at school, which means that the teacher has limited time for every single student and that the few minutes they meet become very important. However, the documented knowledge about how vocational learning is constituted in the vocational classroom and what learning content is focused on in the interaction between teachers and students is very sparse. In this study, we focus on how the enacted object of learning and its critical aspects are made relevant, when a… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT This study investigates how different visual representations of price facilitate learning in upper secondary social science education. Three lessons on pricing were given to four classes (n = 94 students). Two classes had lessons based on graphs and two on a causal loop diagram. Written pre- and post-test answers were analysed phenomenographically and results arising from the two visual representations were compared. Results suggested that a causal loop diagram facilitated a more complex way of understanding the causal relationships in pricing than the graph. The traditional way of introducing price, through the use of supply/demand graphs, is thereby problematised. The study extends knowledge by identifying a synergy between phenomenography and research on visual representations and has specific implications for teaching… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT The aim of this paper is to investigate how small-group and whole-class discussions during whole-class teaching contribute to students’ learning. The study includes 33 video-recorded small-group discussions in four mathematics lessons on enlarging and reducing two-dimensional geometric figures in Grade 8. The results show that different objects of learning were enacted in the different small-groups’ discussions, and that in the majority of the small-group discussions the students did not have the possibility to learn what was intended, since critical aspects were not explored. The combination of group and whole-class discussions contributed to that critical aspects of the specific subject matter came to the fore and thereby were possible to discern. The results indicate that small-group discussions without subsequent… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. ABSTRACT In this paper, differences in the implementation of a number activity called the snake game are studied. Nine Swedish preschool teachers worked in collaboration with a research team, enacting the same activity with their groups of 5-year-old children over a 3-month period. Variation theory forms the basis for the analysis of 67 videorecorded enactments. The results suggest that an activity such as the snake game can bring various aspects of numbers to the fore through differences in enactment.… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Educationalists have had serious problems in proposing well-grounded ways of teaching critical thinking. Reviews of the field have called for research to develop theory concerning the learning experience associated with critical thinking enhancement, as well as to explore more tailored teaching and evaluation methods. This article suggests an approach to teaching critical thinking with potential to handle these concerns. Based on an analysis of students’ essay responses, the article carries out a thought experiment to elaborate an example of design and enactment of lessons using the variation theory of teaching and learning. In this way, the article offers the research community a thorough description of a theory-driven and tailored tool for teaching and evaluating critical thinking, which deserves… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Previous research shows that many students find it difficult to learn computer programming. To learn computer programming includes both gaining theoretical understanding and learning to develop programmes in practice. To this end, teachers commonly design programming exercises for the students in the computer laboratory. To be able to improve the process of designing such exercises, there is a need of a more detailed understanding of the interaction between learning of theory and learning of practice in laboratory sessions. In this paper, an approach for investigating this interaction is proposed. Theoretically, the approach is based on phenomenography and variation theory. To illustrate the approach, it is demonstrated in detail how it was applied to a small but rich case… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. ABSTRACT This paper uses a post-qualitative philosophical perspective to find new ways of understanding teaching and learning. The paper presents a series of examples that were used in a longitudinal study, with the aim of creating variation patterns that would make it possible for students to discern the use of the four basic arithmetic operations in different situations. The focus of this article is the potential of the examples to systematically create variation patterns that students need to perceive… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract This study presents a case of a problem that did not originate in theory but rather ended in theory. It addresses the issue of the prevalent, traditional public view of the nature of mathematics and that of its teaching and learning that might hamper mathematics reform. In this study, we present a five-day professional development programme that was designed and conducted within the context of practice-oriented research to help elementary school principals to enrich their views of mathematics in order to see mathematics in a different way, more aligned with mathematics reform. Data was generated before, during, and at the end of this programme, and results showed significant enrichment in participants’ views of mathematics. By using the Variation Theory… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT It is well known that students benefit from opportunities to interpret and create different representations (e.g., diagrams, graphs, tables, symbols) of mathematical ideas. Employing Marton’s Variation theory as a lens, I argue for an expansion of the use of multiple representations in task design for graphs: Incorporate two different forms of the same type of graph to represent a relationship between variables in a situation. With this approach, designers, teachers, and researchers can engineer opportunities for students to discern, or separate, features of representation systems, such as the Cartesian coordinate system, and in turn, promote students’ mathematical reasoning. Link til kilde
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