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. The purpose of this paper is to follow the reasoning of high school students when asked to explain the standard trigonometric limit limθ→0sinθθ=1. An observational study was conducted in four different phases in order to investigate if visualization, by means of an interactive technology environment (Geogebra), can contribute in lifting high school students’ understanding from a mere procedural understanding to a combination of conceptual and procedural understanding. The obtained results confirm that the students were able to show a… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT A conceptual framework is presented to understand and study the role of students’ agency in their school (dis-)engagement from a Funds of Identity (FoI) perspective. The framework includes the notion of agency combined with Funds of Learner Identity (FoLI): learning preferences that can be considered part of people’s Funds of Identity. The framework holds that students manifest agency to negotiate engaging learning experiences when the school’s affordances and constraints are considerably relatable to their FoLI and allow them to define themselves in desired ways. However, adolescents who feel that possibilities to engage their FoLI are rather limited in school are expected to turn to other contexts to learn, such as home, peer groups and workplaces. An exemplary case… Continue Reading →
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eric.ed.gov har udgivet: This case study presents a descriptive portrait of how one general mathematics teacher transformed her classes from a computational to a conceptual orientation. The outcomes of the transformation for student learning and instruction are discussed. The findings suggest student gains in computational competence, mathematical effort, and attitude via concept-oriented instruction exceeded notably the gains of students in other classes where instruction was computationally oriented. The study employed field-research methods including observations, interviews, and the collection of student data across the project’s three years to capture and describe the nature and effects of the instructional interventions. At the end of the intervention period, students and instruction were organized in ways that focused student interest, attention, and involvement on the learning of mathematics. Many illustrative segments of classroom interactions… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Recent historical discussion of conceptual engineering by analytic philosophers has largely focused on precedents for contemporary conceptual engineering within the history of analytic philosophy. However, I suggest that we can and should look outside of the analytic tradition for further examples of conceptual engineering, and inspiration for further work in conceptual engineering. Here I will look to one such other tradition – American Black feminism. I do this by considering the work of Audre Lorde and Patricia Hill Collins in tandem with a tradition that is the more usual stomping ground of analytic philosophers: logical positivism. I draw out Rudolf Carnap and Otto Neurath’s respective views on conceptual engineering, before turning to Collins and Lorde. I suggest that… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Abstract School leadership plays a fundamental role in promoting educational outcomes. The success of every school rests squarely on the shoulders of its leader, namely the principal. The main objectives of this study were firstly to examine the allegations surrounding the recruitment processes of principals in South African schools, particularly the selling of posts, further, this study also explored the different functions of role players in these processes and finally, the challenges faced in the recruitment and appointment of principals processes. Using the final report the department of Basic Education (DBE) of 2016 on the investigation of the selling of posts, chapter two of the South African Bill of Rights on equality and fairness and drawing from Rawls theory… Continue Reading →
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eric.ed.gov har udgivet: In this study, different factors affecting students’ differential equations (DEs) solving abilities were explored at pre university level. To explore main factors affecting students’ differential equations problem solving ability, articles for a 19-year period, from 1996 to 2015, were critically reviewed and analyzed. It was revealed that combination of four factors; “epistemological math problem solving beliefs, belief about usefulness of mathematics, self-regulated learning (SRL) strategies and goal orientations” have great potential to enhance differential equation problem ability. Based on these findings, a conceptual model was developed and presented in this paper to enhance differential equation problem solving ability. This study has provided several important implications for the curriculum designers and teachers to enhance conceptual understanding in differential equation problem solving, particularly in the developing countries.. Link til… Continue Reading →
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eric.ed.gov har udgivet: This article reports on the effectiveness of an intervention using conceptual change approaches within challenging tasks, on the mathematics gains for low-performing year 3-6 students in in six primary schools. Quantitative data from PAT-Maths testing for each year showed a consistently large effect size of 0.7 compared to expected gain data from DECD [South Australia’s Department for Education and Child Development]. All six experimental groups caught up with DECD expectations within one year. Over the two years, students from years 3-5 gained an additional 27 months of mathematics learning over the expectations and students from years 4-6 gained 29 months, indicating the potential of the approach for closing educational gaps for low-performing students. Link til kilde
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT We identify a recent trend in school mathematics as well as in some of the research literature in mathematics education: an emphasis on the practical uses of mathematics and an increased emphasis on verbalizations as opposed to numerical and computational skills. With tools provided by John Dewey, an early advocate of contextual and practical knowledge, we analyse the common research framework for discussing mathematical knowledge in terms of the procedural and the conceptual. We argue that procedural and conceptual knowledge should not be seen as opposites, and that the tendency to treat them as such might be avoided by emphasising the notion of operational skill. We argue that this is important in order for the students to gain… Continue Reading →
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eric.ed.gov har udgivet: The importance of mathematical concept development and language is recognized early in children’s schooling as they mature through shape and counting experiences. The reader may recall instances of a youngster referring to a “corner” of a shape before the reader has the language of vertex. This language precision needs to continue to grow as the learner moves through arithmetic into algebra, geometry, and further mathematics. This precision is essential and is reinforced in the common core standards for mathematics (2010). If the primary goal is to facilitate proficiency in math for all students (including students with disabilities), there needs to be an emphasis on the deeper conceptual development and the uniquely precise nature of mathematics language both at the pre-service and in-service levels. This is essential as… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Link til kilde
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