tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Abstract Within mathematics teaching, ways to help students resolve proportional reasoning problems remains a topical issue. This study sought to investigate how a simple innovative procedure could be introduced to enhance skill acquisition. In two classroom-based experiments, 12-year-old students were asked to solve proportional reasoning mathematics problems, on four occasions, over a two-week period. On the second occasion, students worked either with or without the benefit of worked examples. The examples demonstrated a unitising strategy in the context of solving proportional reasoning missing value problems. Students exposed to the worked examples improved scores on subsequent tests. The worked example instruction was (a) mediated entirely through booklets, (b) effective with both low- and high-SES students and (c) represents a promising… Continue Reading →
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eric.ed.gov har udgivet: Research indicates that many English learners (ELs) have not been effectively supported in meeting their academic learning goals. This explains, in part, the growing interest and corresponding research on the essential teacher knowledge-base for teaching ELs. Despite the attention paid to this issue, research on preservice teachers’ reasoning and instructional decision-making, especially regarding teaching mathematics to ELs remains underexplored. For this reason, we examined–through the use of authentic teaching scenarios–how ten preservice mathematics teachers, at the end of their teacher training, chose to present mathematical concepts to their EL learners. We also studied, in depth, the rationale behind their choices. Qualitative analyses of these data revealed that pre-service mathematics teachers’ instructional decision making was grounded in their perceptions of ELs as either a homogenous or a markedly… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Language of risk and causation pervades modern media sources. In response, statistical literacy is often framed as a critical means of understanding such discourse. At Michigan State University, several faculties have worked to create a new mathematics course, entitled Quantitative Literacy, to fulfill the University’s general education mathematics requirement. Though the course does not center exclusively on statistical thinking and methods, the curriculum does include attention to science reports in the media, among other topics, which are often based on research using statistical methods. In an effort to begin to understand how students reason with such articles before having taken the course, students in Quantitative Literacy answered several open-ended questions at the beginning of the semester in response… 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 The purpose of this study was to study the impact of conformity to statistical reasoning learning environment (SRLE) principles on students’ statistical reasoning in advanced placement statistics courses. A quasi-experimental design was used to compare teachers’ levels of conformity to SRLE principles through a matching process used to mitigate the effects of nonrandom assignment. This matching process resulted in five pairs of similar teachers and schools who differed in self-reported beliefs in the effectiveness and application of SRLE… 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. Despite the central role of proofs in mathematics, research often shows that school textbooks offer limited support for the teaching and learning of proof-related reasoning. This study contributes to this field of research by studying Swedish and Finnish upper secondary textbooks on logarithms and combinatorics. Justifications in expository sections are analysed and students’ tasks are categorized according to the type and nature of reasoning they require. The findings imply that opportunities to learn proof-related reasoning are few, and are… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT In this article we report on a study of children’s attention to numerical content in picture books. Specific research questions are 1) how the content in a designed picture book directs children’s attention to numbers, and 2) what kind of numerical reasoning the book reading entails. To answer these questions, we conducted an educational design research study in two cycles, with a specially designed picture book and two ways of reading: first without any prompting from the reading teacher, and second with teacher-child interaction. Nineteen preschool children (aged 3–5 years) and three teachers participated in video-observed individual reading sessions. The observations of the reading activities were analyzed with focus on the children’s attention to numbers as well as on… 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 The aim of this study is to explore the judgments and reasoning in probabilistic tasks that require comparing two probabilities either with or without introducing an additional degree of uncertainty. The reasoning associated with the task having an additional condition of uncertainty has not been discussed in previous studies. The 66 undergraduate students, participants in this study, used an analytic process for the task without an additional condition of uncertainty and a heuristic for the task with it.… Continue Reading →
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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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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT This article explores the features of students’ reasoning and sense-making when computer programming and mathematics interact, specifically, using the exterior angle concept to make different regular polygons with Scratch as a programming tool. At the end of the 2019 spring term in a public elementary school, data were obtained from a pretest, a posttest, programming tasks, surveys, audio recordings, and research field notes. Fifty-six students aged 13–14 years participated in the study. Concepts from variation theory in combination with a post-structuralist philosophical perspective were used to analyse what features of tasks allow students to experience reasoning and sense-making and what features are discerned in students’ reasoning and sense-making. The results illustrate the features of tasks as well as… Continue Reading →
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