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Eric.ed.gov – The Shift from “Learner/Doer of Mathematics” to “Teacher of Mathematics”: A Heuristic for Teacher Candidates

eric.ed.gov har udgivet: Successful teacher preparation programs provide learning experiences that help teacher candidates make the shift from “student” to “teacher.” In this paper we present research on the implementation of a process for providing candidates such experiences. Utilizing the Mathematics as Teacher Heuristic (MATH) process, prospective high school mathematics teachers explore rich problems by solving the task, analyzing samples of student work, designing a solution key, and modifying the task. We use their engagement in these explorations and reflections on the process to analyse the development of candidates’ Content Knowledge and Pedagogical Content Knowledge. Link til kilde

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Eric.ed.gov – Higher Goals in Mathematics Education

eric.ed.gov har udgivet: This monograph offers an overview of the current research work carried out in Croatia and the surrounding countries, and specifically an interesting insight in teaching and learning issues in these countries. The authors discuss the need of the general population for becoming good problem-solvers in society of today, which is characterised by rapid technological changes and economic development. They argue that modern teaching methods are therefore needed. From the contributions in this monograph, it appears that awareness of future teachers’ beliefs and knowledge is present in the tertiary education. The studies investigate various aspects of pre-service and in-service teachers’ characteristics, like beliefs, knowledge, digital competencies or using ICT in teaching. But the contributions also portray another picture: mathematics education is becoming accepted as a field of scientific… Continue Reading

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Eric.ed.gov – Synchronous Online Collaborative Professional Development for Elementary Mathematics Teachers

eric.ed.gov har udgivet: Math is often taught poorly emphasizing rote, procedural methods rather than creativity and problem solving. Alberta Education developed a new mathematics curriculum to transform mathematics teaching to inquiry driven methods. This revised curriculum provides a new vision for mathematics and creates opportunities and requirements for professional learning by teachers. Conventional offsite, after school, or weekend professional development is typically “sit and listen, maybe try on Monday”. Professional development that is embedded, responsive, and personalized is known to be more effective at changing teaching practice. Alberta teachers are geographically dispersed making online professional learning a desirable alternative to on-site workshops. As access to and use of the Internet gains momentum in schools across the country, opportunities for collaborative, online professional development become more viable. The online professional development… Continue Reading

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Eric.ed.gov – Impact of the Developing Mathematical Ideas Professional Development Program on Grade 4 Students’ and Teachers’ Understanding of Fractions. REL 2017-256

eric.ed.gov har udgivet: Contemporary state math standards emphasize that students must demonstrate an understanding of the mathematical ideas underlying the computations that have typically been the core of the elementary school math curriculum. The standards have put an increased emphasis on the study of fractions in upper elementary grades, which are the years during which students build a strong foundation in fractions concepts. At the same time, the National Mathematics Advisory Panel (2008) cites limited understanding of fractions as the key reason for the high failure rate in algebra courses. Longitudinal data from both the United States and the United Kingdom have demonstrated that knowledge of fractions in the elementary grades plays a powerful role in subsequent success in algebra, the gateway to math achievement in high school. Members of… Continue Reading

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Eric.ed.gov – Promising Practice of Technology Integration in Math and Science Instruction: A Case of California Charter High School

eric.ed.gov har udgivet: This study was conducted to examine the promising practice of using technology in teaching math and science in a charter high school in California. The research employed an in-depth qualitative case study method. The main participants were principals, lead teachers, teachers, and support staff. Interviews, observations, and archival documents were the main data collection tools. The study found that the practice of using technology in teaching by the school, Center for Advanced Research and Technology (CART), has lead to positive educational outcomes. These include increased student achievement in standardized test scores, increased motivation, growth in mean GPA, less behavior problems from students, and improved school attendance by students. Implications for policy and practice were discussed. Link til kilde

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Eric.ed.gov – Improving Problem Posing Capacities through Inservice Teacher Training Programs: Challenges and Limits

eric.ed.gov har udgivet: The paper presents the results of a study based on a training program for in-service mathematics teachers, targeting to improve their skills of problem posing and qualitative appreciation of problems. During this training program, we found an improvement in participating teachers’ availability to discuss and analyse math problems, but also resistance to adapt posed tasks to the students’ thinking. [For the complete proceedings, see ED597799.] Link til kilde

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Eric.ed.gov – The Effects of Schema-Based Instruction on Solving Mathematics Word Problems

eric.ed.gov har udgivet: The purpose of this study was to investigate the frequency with which students use math word problem strategies during and after schema-based instruction. It examines the extent to which students increase their ability to correctly solve word problems. It compares students’ attitudes toward mathematics problem solving before and after schema-based instruction. The study was conducted in a resource class with seven second-grade students on individualized education programs (IEPs). A single-subject research design was used. The schema-based instruction was implemented by the special education teacher in a small group setting. Students showed an increase in attempted and correct strategy use during instruction. Three students increased their attempts of strategy use from pretest to posttest, but only one student used the strategy correctly on all attempts. The mean problem-solving… Continue Reading

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Eric.ed.gov – Integration of Engineering Design in Early Education: How to Achieve It

eric.ed.gov har udgivet: Young boys and girls make houses and beds from cloths and cartons for their dolls, erect shelters and fences for toy animals, build ramps and garages from blocks for toy cars, and lift objects using a rope and reel for having fun. Thanks to their experiences with such design-based games, children combine science with engineering and try to understand and explain the facts and happenings around them with their own information and explanations. In recent years, the literature heavily provided marked evidence that integration of engineering design into science and maths curricula from preschool up to the end of senior high school offers various learning opportunities. Despite bearing potentials for achieving objectives of preschool education, curriculum integration poses the question of ‘How to achieve the integration’ to… 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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Eric.ed.gov – “With Percentages the 100 Is Always in the Denominator”: From the Field to Pre-Service Teachers

eric.ed.gov har udgivet: The ubiquity of the subject of percentages in our everyday life demands that math teachers and pre-service math teachers demonstrate a profound knowledge and thorough understanding of the concept of percentages. This work, which originated from one specific lesson in an 8th grade math class, studies the conceptual understanding and problem-solving strategies of 17 pre-service math teachers. We exhibit and analyze the pre-service teachers’ misconceptions and their inefficient or false problem-solving strategies. We identify two main misconceptions. The first we name “In percentage problem is 100 always the denominator?” and the second “One can handle percentage problems using the same techniques as in numerical problems” (or Over-transferring of numerical problems). We hypothesize reasons and explanations for these misconceptions. The frequent use of percentages in everyday life and… Continue Reading