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Eric.ed.gov – The Math, Science, & Manufacturing Collaborative.

eric.ed.gov har udgivet: The concept of a collaborative math and science project grew out of the need expressed by Cleveland State University (Ohio) engineering faculty and junior and senior high school teachers. These groups sought to provide students with connections to “real world” situations that they will face as they transition into the workplace of the future. The underlying assumptions of the collaboration are that secondary teachers’ understanding of engineering concepts will be enhanced by engaging in engineering problem solving and that the teachers will then incorporate lessons learned from the experiences into their classroom teaching. The goals for the project were to: (1) improve the quality of instruction provided to students; (2) better prepare in-service teachers; (3) increase understanding of educational barriers to curricular change; (4) facilitate the exchange… Continue Reading

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Eric.ed.gov – hm Math Study Skills Program. Teacher’s Guide.

eric.ed.gov har udgivet: This program, which provides an introduction to study skills in mathematics for pre-algebra students through a series of 10 activity-oriented units, is structured on the assumption that activity-oriented lessons are the most effective way to teach study skills. By completing activities in the units, students learn about study skills needed for mathematics and practice those skills in a mathematics environment. The program addresses a wide range of student needs, providing an introduction to specific skills for students who have little sense of a particular study skill, providing a learning experience of initial mastery for students who are ready to acquire a skill, and offering review and reinforcement for students who have mastered a given skill. Topic areas of the units include: listening as a mathematical skill, problem… Continue Reading

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Eric.ed.gov – Development of Computational Thinking Scale: Validity and Reliability Study

eric.ed.gov har udgivet: Computational thinking is a way of thinking that covers 21st century skills and includes new generation concepts such as robotics, coding, informatics and information construction. Computational thinking has reached an important point especially in the field of science in line with the rapid developments in technology. Robotics applications, software-based activities, STEM (Science, Technology, Engineering, Math) education and problem-based studies are some of the areas where this thinking is used. In this study, which is based on this point, it is aimed to develop a scale for computational thinking. Exploratory sequential design, one of the mixed research methods, was used in the study. First of all, a detailed literature review was conducted and needs analysis was carried out. This study consists of two stages. In the first stage,… Continue Reading

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Eric.ed.gov – A Look at Math Teachers and Problem Solving.

eric.ed.gov har udgivet: The need for mathematics teachers to incorporate instruction in problem-solving skills into the curriculum is discussed. Results of a study of problem-solving instruction in the classrooms of nine seventh grade teachers are briefly noted. There were significant differences between the teachers in how they planned, organized, and delivered lessons, but there was little difference between regular lessons and problem-solving lessons. Moreover, students showed little improvement in problem solving. A complete description of the study is included. How the teachers taught is described in some detail. Implications are discussed in terms of organizational style, problem-solving content, and other teaching methods. Several figures and tables are supplied. (MNS) Link til kilde

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Eric.ed.gov – Factors Affecting Differential Equation Problem Solving Ability of Students at Pre-University Level: A Conceptual Model

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 – Impulsive-Analytic Disposition in Mathematical Problem Solving: A Survey and a Mathematics Test

eric.ed.gov har udgivet: The Likelihood-to-Act (LtA) survey and a mathematics test were used in this study to assess students’ impulsive-analytic disposition in the context of mathematical problem solving. The results obtained from these two instruments were compared to those obtained using two widely-used scales: Need for Cognition (NFC) and Barratt Impulsivity Scale (BIS). The exhibited correlations of the LtA scores with the NFC, BIS, and a math test provide evidence of the criterion validity of the analytic LtA items, and suggests further revision of the impulsive LtA items to improve the overall measurement validity of the LtA scale. Students LtA scores were found to be marginally correlated to their math scores and correlated to their confidence levels in the math items. Link til kilde

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Eric.ed.gov – Why University Teacher Preparation Programs Should Provide a New Set of Personal Constructions of Mathematics through Math Content Courses for Elementary Teachers

eric.ed.gov har udgivet: Teacher preparation programs are in danger of seriously under-preparing elementary teachers to teach mathematics for understanding if they wait to provide students with evidence of effective mathematics teaching methods in the mathematics methods courses. With strong traditional beliefs about how mathematics ought to be taught and their determination to be able to explain mathematics to elementary children, the methods course is much too late to change preservice teachers’ perceptions of mathematics or how to teach it. If we want to change the way they teach mathematics, we must do it in their mathematics content courses. In the content courses, we have a chance to provide them with positive and successful personal mathematics constructions. Only when they learn to become active problem-solvers, can they teach others the importance… Continue Reading

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Eric.ed.gov – Mathematical Teaching Strategies: Pathways to Critical Thinking and Metacognition

eric.ed.gov har udgivet: A teacher that emphasizes reasoning, logic and validity gives their students access to mathematics as an effective way of practicing critical thinking. All students have the ability to enhance and expand their critical thinking when learning mathematics. Students can develop this ability when confronting mathematical problems, identifying possible solutions and evaluating and justifying their reasons for the results, thereby allowing students to become confident critical thinkers. Critical thinking and reasoning allows students to think about how they utilize their discipline of mathematical skills (i.e., they think about their method of thinking). Metacognition helps students to recognize that math is logical reasoning on solutions to problems. Students are taught how to: identify scenarios; evaluate; select problem-solving strategies; identify possible conclusions; select logical conclusions; describe how a solution was… Continue Reading

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Eric.ed.gov – Implementing Cross-Sector Collaboration through the District-Charter Collaborative: A Case Study of Promising Practices

eric.ed.gov har udgivet: District-Charter Partnerships (DCP) is an initiative that is part of the Equity and Excellence for All agenda established by Mayor De Blasio. Its goal is to support meaningful collaboration between the district and charter sector in order to increase educator capacity and student learning in all New York City public schools. The District-Charter Collaborative (DCC) is one of the principal programs under the DCP umbrella. Spearheaded by the NYC Department of Education’s (DOE) Office of School Design and Charter Partnerships and Office of Leadership, the program brings quads of schools (2 district and 2 charter) together to engage in structured collaboration through the creation of professional learning communities (PLCs). These PLCs aim to improve practice in one of the following Learning Focus Areas (LFAs): math instruction, supporting… Continue Reading

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Eric.ed.gov – Giant Story Problems: Reading Comprehension through Math Problem Solving.

eric.ed.gov har udgivet: Primary students solve “oversized” story problems using drawings, equations, and written responses, helping them understand the links between the language of story problems and the numerical representations of matching equations. The activity also includes oral language and reflective writing, thus bringing together a variety of language experiences into mathematics work. During one 30-minute and one 60-minute session, students will: participate in a shared problem-solving activity; collaborate in small groups to develop a problem-solving strategy; use drawings, words, and equations to model solutions to story problems; effectively and clearly explain their problem-solving strategies to other students; and write about and reflect on their problem-solving strategies. The instructional plan, lists of resources, student assessment/reflection activities, and a list of National Council of Teachers of English/International Reading Association (NCTE/IRA) Standards… Continue Reading