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tandfonline.com – The challenge and opportunities of quantum literacy for future education and transdisciplinary problem-solving

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 Background: Knowledge of quantum computing is arguably inaccessible to many, with knowledge of the complex mathematics involving a particular barrier to entry, creating difficulty in terms of teaching and inclusive learning for those without a high level of mathematics. Meanwhile, it is increasingly important that the knowledge of quantum technologies is accessible to those who work with real-world applications and is taught to the younger generation. Purpose: Resulting from collaborative dialogue between physicists, computer scientists, educationalists, and industrial… Continue Reading

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tandfonline.com – The challenge of supporting creativity in problem-solving projects in science: a study of teachers’ conversational practices with students

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Background: Creativity is an important skill for the future society and developing students’ creativity is an important part of science education. Working on a creative science project may help developing students’ creative abilities, and the interaction between teacher and students during the work on defining a problem and solving the problem, is an ideal forum for supporting students’ creativity. Purpose: The purpose of the study is to get insight into how teachers respond to students’ creative ideas during the works on a creative science project, and how the interaction between teacher and students may support or inhibit students’ creative abilities. Design and methods: Data in this study consist of 49 video-recorded interactions between two teachers and student groups… Continue Reading

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Eric.ed.gov – New Perspectives on Problem-Solving: Autonomous Math Learning Behavior and Math Achievement.

eric.ed.gov har udgivet: Autonomous Learning Behavior (ALB) as mediators between internal and external influences and performance on high level cognitive tasks was proposed as a possible explanation for gender-related differences in mathematics. This study developed a measure of ALB by drawing on teachers’ working knowledge and the literature on problem-solving, including self-regulatory and metacognitive strategies. The Math Assessment Project Questionnaire was used to assess students’ awareness of their behaviors in a mathematics class and a non-routine word problem solving was used to measure the ALB. Students’ confidence and achievement were also collected as data. No gender differences were found on the math achievement measures, the ALB questionnaire, or the confidence measure on two-tailed t-tests. However, the inclusion of the interaction term between gender and confidence showed a significant rise in… Continue Reading

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tandfonline.com – The computer-based assessment of domain-specific problem-solving competence—A three-step scoring procedure

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Abstract Problem-solving competence is an important requirement in back offices across different industries. Thus, the assessment of problem-solving competence has become an important issue in learning and instruction in vocational and professional contexts. We developed a computer-based low-stakes assessment of problem-solving competence in the domain of controlling. The assessment required participants to process three complex and authentic business-related scenarios within an office simulation. The low number of items and the open-ended response threaten the reliability of the scoring. We collected data from 780 German students in Vocational Education and Training (VET) and applied the following procedure to score the participants’ solutions to the three scenarios: A fine-grained scoring resulted in a comprehensive set of response patterns for each scenario.… Continue Reading

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Eric.ed.gov – A Multi-Year Study of the Impact of a Problem-Solving Focused Professional Development on Teacher Leadership

eric.ed.gov har udgivet: This study explored the connections between teacher leadership and a professional development model focused on problem-solving, Math Teachers’ Circles (MTC). Surveys were completed by 213 MTC participants resulting in three years of data across multiple sites. A mathematics education leadership framework provided a data analysis tool. Findings suggested MTCs did impact participant teacher leadership, as survey results attended to all three areas of leadership from the analysis framework. [For the complete proceedings, see ED583989.] Link til kilde

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tandfonline.com – Assessing a multi-component math intervention within a cognitive-behavioral framework on the word problem-solving responses of a diverse group of third graders

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Abstract In third grade the focus on math word problems becomes prominent. In the limited third grade research, teacher-mediated explicit instruction with multiple exemplars, teaching students to use visual representations, and the incorporation of self-strategies, have proven effective. For these practices to reach their full potential though, their content must be relevant and provide for growth to mature mathematical concepts. Based on these conclusions, additional research was needed. Therefore, the focus of this study was to evaluate the effectiveness of a multi-component word problem-solving intervention with explicit instruction strategies, multiple exemplars, the teaching of student-generated visual representations, incorporation of a self-monitoring checklist, and Common Core State Standards’ appropriate curriculum. Within a multiple baseline across behaviors design, the study evaluated… Continue Reading

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tandfonline.com – Exploring the relationship between metacognitive and collaborative talk during group mathematical problem-solving – what do we mean by collaborative metacognition?

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT The purpose of this study was to enhance our understanding of the relationship between collaborative talk and metacognitive talk during group mathematical problem-solving. Research suggests that collaborative talk may mediate the use of metacognitive talk, which in turn is associated with improved learning outcomes. However, our understanding of the role of group work on the individual use of metacognition during problem-solving has been limited because research has focused on either the individual or the group as a collective. Here, primary students (aged nine to 10) were video-recorded in a naturalistic classroom setting during group mathematical problem-solving sessions. Student talk was coded for metacognitive, cognitive and social content, and also for collaborative content. Compared with cognitive talk, we found… Continue Reading

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Eric.ed.gov – Teacher-Student Eye Contact during Scaffolding Collaborative Mathematical Problem-Solving

eric.ed.gov har udgivet: Teacher’s gaze communicates consciously and unconsciously her pedagogical priorities to the students. By creating and responding to eye contact initiatives, people can communicate both status and affection. This research explores the frequency of teacher-student eye contacts and their connection to teachers’ scaffolding intentions. The data consisted of mobile gaze tracking recordings of two teachers and stationary classroom videos during three collaborative mathematical problem-solving lessons. The quantitative analysis showed that most of the teacher gazes on student faces did not lead to dyadic eye contacts and those gazes that did, occurred often during affective and cognitive scaffolding. These results offer us novel and important insight in the nonverbal part of scaffolding interaction. Link til kilde

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tandfonline.com – Reading Versus Doing: Methods of Teaching Problem-Solving in Introductory Statistics

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 Practice problems and worked examples are both well-established teaching techniques. Research in math and physics suggests that having students study worked examples during their first contact with new material, instead of solving practice problems, can be beneficial to their subsequent performance, possibly due to the reduced cognitive load required to study examples compared to generating solutions. However, there is minimal research directly comparing these teaching methods in introductory statistics. In this study, we chose six pairs of introductory… Continue Reading

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Eric.ed.gov – Modifying a Research-Based Problem-Solving Intervention to Improve the Problem-Solving Performance of Fifth and Sixth Graders with and without Learning Disabilities

eric.ed.gov har udgivet: The purpose of the present study was to test the efficacy of a modified cognitive strategy instructional intervention originally developed to improve the mathematical problem solving of middle and high school students with learning disabilities (LD). Fifth and sixth grade general education mathematics teachers and their students of varying ability (i.e., average-achieving [AA] students, low-achieving [LA] students, and students with LD) participated in the research study. Several features of the intervention were modified, including (a) explicitness of instruction, (b) emphasis on meta-cognition, (c) focus on problem-solving prerequisites, (d) extended duration of initial intervention, and (e) addition of visual supports. General education math teachers taught all instructional sessions to their inclusive classrooms. Curriculum-based measures (CBMs) of math problem solving were administered five times over the course of the… Continue Reading