tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Formal understanding of the nature of science (NOS) has been considered to be a major contributor to nurturing students’ scientific literacy. In China, this view has been endorsed in the new standard for high school physics curriculum, which has guided the development of the new generation physics textbooks. Following the analytical framework established in the recent literature, this study evaluates the NOS representations in five textbooks approved by the Chinese Ministry of Education regarding the extent, the manner (explicit vs. implicit), the accuracy and completeness (from naïve to informed), and the overall consistency of different aspects of NOS. The results show that the representations of NOS in all five physics textbooks are far from satisfactory. The aspects of… 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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eric.ed.gov har udgivet: This paper articulates a stance on the study of students’ meaningful mathematics understanding with multiple representations. We integrate Thompson’s theory of quantitative reasoning and Dreyfus’ theory of multiple representations in our approach to frame and conduct empirical investigations of the study of meaningful understanding of function. We provide empirical data to support our approach to examining representational fluency and functional thinking from this networked stance. Our research articulates how the coordination of theories can be productive in informing the design, conduct, and analysis of contexts aimed to understand students’ meaningful math learning with a focus on functional thinking. [For the complete proceedings, see ED606556.] Link til kilde
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT In mathematics education, digital tools have been used to enhance young children’s understanding of specific subject matter. In such implementations, the digital tool can replace, amplify or transform ‘ordinary’ mathematics teaching. In an initial study, systematization and duplication were identified as critical when young children were to solve a combinatorial task. Therefore, a digital version of the task was developed and combined with a non-digital version, to introduce the use of dual artefacts. The digital version of the task enabled the children to visually explore systematization as well as the principle of completion. After using this digital version of the task, the children’s written records became more systematic and included fewer duplications. We conclude that the digital version… Continue Reading →
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eric.ed.gov har udgivet: This study, firstly, aimed at investigating the various types of the multiple math representations and transitions among them in the 8th grade math textbook, and secondly, teachers’ use of these representations in teaching. The current study employed the content analysis approach to investigate the multiple mathematical representations and transitions among them in 8th Grade Mathematics Textbook. An observation method was used to analyses the teacher practices (n=35 observations), and record the representations and transitions. The results showed that there was an existence of symbol and verbal representations in the textbook and teachers’ implementation. Meanwhile, the other three representations (pictures and figures, models and Cutters, and life situations) and the transactions between them were at low rates in the textbook and teachers’ implementation. Link til kilde
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Everyday encounters with graphical representations include a variety of graphs that superficially appear similar due to their use of bars. This article examines students’ conceptions and misconceptions regarding the interpretation of variability in histograms, bar graphs, and value bar charts. A multiple choice assessment with brief written justifications was administered to students in an introductory level college statistics course. Assessment items included comparisons of variability among same-type graphs and questions regarding students’ ability to identify key features of the graphs. The study revealed that students struggle to make sense of the underlying structures of the various types of graphs and often disregard graph type as they transfer correct conceptions of variability for one type of graph erroneously to… 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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