tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Ada, Countess of Lovelace, is remembered for a paper published in 1843, which translated and considerably extended an article about the unbuilt Analytical Engine, a general-purpose computer designed by the mathematician and inventor Charles Babbage. Her substantial appendices, nearly twice the length of the original work, contain an account of the principles of the machine, along with a table often described as ‘the first computer program’. In this paper we look at Lovelace’s education before 1840, which encompassed older traditions of practical geometry; newer textbooks influenced by continental approaches; wide reading; and a fascination with machinery. We also challenge judgements by Dorothy Stein and by Doron Swade of Lovelace’s mathematical knowledge and skills before 1840, which have impacted later… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT In this study, we examined a mathematician and one of his students’ teaching journals and thought processes concurrently as the class was moving towards the proof of the Fundamental Theorem of Galois Theory. We employed Tall’s framework of three worlds of mathematical thinking as well as Piaget’s notion of accommodation to theoretically study the narratives. This paper reveals the pedagogical challenges of proving an elegant theory as the events unfolded. Although the mathematician was conscious of the students’ abilities as he carefully made the path accessible, the disparity between the mind of the mathematician and the student became apparent. Link til kilde
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract In a high-stakes assessment culture, it is clearly important that learners of mathematics develop the necessary fluency and confidence to perform well on the specific, narrowly defined techniques that will be tested. However, an overemphasis on the training of piecemeal mathematical skills at the expense of more independent engagement with richer, multifaceted tasks risks devaluing the subject and failing to give learners an authentic and enjoyable experience of being a mathematician. Thus, there is a pressing need for mathematical tasks which embed the practice of essential techniques within a richer, exploratory and investigative context. Such tasks can be justified to school management or to more traditional mathematics teachers as vital practice of important skills; at the same time, they… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT From a discursive perspective, differences in the language in which mathematics questions are posed change the nature of the mathematics with which students are expected to engage. The project The Evolution of the Discourse of School Mathematics (EDSM) analysed the discourse of mathematics examination papers set in the UK between 1980 and 2011. In this article we address the issue of how students over this period have been expected to engage with the specialised discourse of school mathematics. We explain our analytic methods and present some outcomes of the analysis. We identify changes in engagement with algebraic manipulation, proving, relating mathematics to non-mathematical contexts and making connections between specialised mathematical objects. These changes are discussed in the light… Continue Reading →
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eric.ed.gov har udgivet: Teachers’ content knowledge and beliefs about teaching and learning are among the key factors for effective teaching and, in turn, for student achievement-related outcomes. This study explores the extent to which K-8 math teachers’–who teach in high-poverty urban schools–professional background, motivational beliefs, and mathematical knowledge for teaching (MKT) have an impact on students’ math achievement. Hierarchical linear modeling (HLM) results indicated that although students’ prior mathematics achievement was the most determining factor of their subsequent math achievement, teachers’ MKT and holding a bachelor’s degree in mathematics had significant positive effects on students’ math achievement. Results provide support for professional development (PD) to focus on improving mathematics teachers’ mathematical knowledge for teaching. Results may also have implications for education policies at both the district and state level for… 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 Computer-assisted assessment (CAA) is widely used in modern university courses in many different fields. It can be used both in formative and summative assessments and with different emphasis on (self-)training, grading, and feedback generation. This article reports on experiences from using the CAA tool “JACK” to support a university lecture on mathematical statistics for exercises, tests, and exams. We show and discuss, among others, a positive relationship between usage intensity of JACK and final grades. Moreover, students generally… 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 A selection of secondary school mathematics textbooks from twelve countries on five continents was analysed to better understand the support they might be in teaching and learning mathematical problem solving. Over 5700 tasks were compared to the information provided earlier in each textbook to determine whether each task could be solved by mimicking available templates or whether a solution had to be constructed without guidance from the textbook. There were similarities between the twelve textbooks in the sense… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Children’s own spontaneous mathematical activities are crucial for their mathematical development. Mathematical thinking and learning does not only occur in explicitly mathematical situations, such as the classroom. Those children with higher tendencies to recognize and use mathematical aspects of their everyday surroundings, both within the classroom and without, appear to have an advantage in learning formal mathematical skills and knowledge. In this introduction to the special issue, we provide an overview of the existing literature on spontaneous mathematical focusing tendencies. We then provide a brief overview of the contributions to the special issue. Link til kilde
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eric.ed.gov har udgivet: This study aimed to develop Mathematics learning media in the form of learning videos in order to enhance the reasoning abilities of students of Mathematics Education Study Program.. This study used the development model to construct products in the form of learning videos on topics like Surface Area of Cuboid, Cube, Prism and Pyramid. To achieve this purpose, the ADDIE, Analyse, Design, Development, Implementation and Evaluation, development model was used, In this study; the steps conducted only reached the Development stage. Based on the validation of media experts, the percentage of the feasibility of learning media obtained was 95.15%. After being converted into a scale conversion table the percentage of the achievement level of 95.15% was in very good criteria. This proved that the learning video on… Continue Reading →
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eric.ed.gov har udgivet: Providing students with an opportunity to explore mathematical content through games allows teachers to include tasks that: (1) present alternative representations of the content; (2) welcome various expressions of mathematical reasoning; and (3) incorporate variations that empower all students to engage in the problem solving process. Games not only motivate students to learn mathematical concepts, but games also embody the principles of Universal Design for Learning (UDL)–a framework designed to optimise instructional decisions to meet students’ needs. In this article, the authors Games not only motivate students to learn mathematical concepts, but games also embody the principles of Universal Design for Learning (UDL)–a framework designed to optimise instructional decisions to meet students’ needs. Link til kilde
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