eric.ed.gov har udgivet: This study examines the effects of Connected Mathematics Project 2 (CMP2) on grade 6 student mathematics achievement and engagement using a cluster randomized controlled trial (RCT) design. It responds to a need to improve mathematics learning in the Mid-Atlantic Region (Delaware, Maryland, New Jersey, Pennsylvania, and Washington, DC). Findings reveal that the type of instructional activity taking place in intervention schools differed from that in control schools, and the activity observed in intervention schools was the type expected when implementing CMP2. Sixty-four percent of intervention teachers reported implementing the curriculum at a level consistent with the publishers’ recommendations on the number of units completed per school year (six), and 68 percent of them reported implementing the curriculum consistent with the recommended amount of class time per week.… Continue Reading →
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eric.ed.gov har udgivet: In this paper, the authors report research focused directly on the validation of the Coding of Academic Teacher-Student interactions (CATS) direct observation instrument. They use classroom information gathered by the CATS instrument to better understand the potential mediating variables hypothesized to influence student achievement. Their study’s purpose is to gather the kinds of validity evidences that match the proposed interpretations and uses of the CATS instrument (Kane, 2008; Messick, 1995). Therefore, they first explore the content aspect of construct validity by collecting information about the content relevance and representativeness of the observation instrument (Messick, 1995). Second, concerned about the consistency of the observation data collected across a number of independent observers, they measure inter-observer agreement. Finally, they focus on the criterion-predictive aspect of construct validity and investigate… Continue Reading →
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eric.ed.gov har udgivet: This report discusses the change in mathematics curriculum influenced by researchers, society, and the mathematics field. Many research results suggest that students should learn mathematics by experience. Students’ misconceptions may be formed because of the sudden shift from arithmetic to algebra. Up to the eighth grade, mathematical content has been heavily repeated. For more of the active doing of mathematics, four common activities (abstracting, inventing, proving, and applying) and four processes (generalizing, conjecturing, convincing, and specializing) are recommended. The curriculum standards developed by the National Council of Teachers of Mathematics, the curriculum framework developed by the National Academy of Sciences, some projects sponsored by the National Science Foundation, the University of Chicago School Mathematics Project, and other projects are described. Constraints against curricular change are listed and… Continue Reading →
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eric.ed.gov har udgivet: The “Clipboard Connection” is a methodology to facilitate the rapid circulation of relevant pre-existing materials from Chapter 1 Technical Assistance Centers of relevant materials from Chapter 1 Technical Assistance Centers (TACs) to their clients, teachers of educationally disadvantaged children in resource centers. Each “Clipboard Connection” consists of a lead sheet summarizing the contents of the materials (reprints of journal articles, brochures, etc.) to be distributed, and the materials themselves. This compilation focuses on techniques for effective mathematics instruction. The following reprints are included: (1) “Teaching Mathematics and Thinking,” prepared by Edward A. Silver and Margaret S. Smith (Arithmetic Teacher, volume 37, number 8, April 1990); (2) “Using Writing Activities to Reinforce Mathematics Instruction,” by David M. Davison and Daniel L. Pearce (Arithmetic Teacher, volume 35, number 8,… Continue Reading →
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eric.ed.gov har udgivet: This collection of activities demonstrates how the study of elementary mathematics can be extended beyond the school and involve teachers and students in investigative, problem-based experiences. The activities include topics in geometry, concept of number, algebra, measurement, graphing, statistics, and probability, and are organized into five different math trails. With this method of organization, up to 100 elementary students can participate in the activities on the same day. Each math trail has 10 activities and each activity utilizes the particular attributes of the section of the mall in which it is situated. Students collect the necessary data at the mall and then complete the activities upon returning to their classrooms by interpreting the data and applying their previous learning and understanding in mathematics to solve a real-life… Continue Reading →
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eric.ed.gov har udgivet: In this commentary, Danny Martin describes five key take-aways and two sets of questions that arose from his reading of “Principles to Actions: Ensuring Mathematics Success for All (National Council of Teachers of Mathematics [NCTM], 2014). Martin begins by noting that “Principles to Actions” is clearly a political document that advances particular views and visions of mathematics teaching and learning and per the copyright page of the document, represents the “official position of the National Council of Mathematics Teachers as approved by the NCTM Board of Directors.” Martin goes on to touch upon the tone of the document and notes that it reflects a deep and unequivocal commitment to the Common Core by NCTM even as it seems that elements of the Common Core movement are starting… Continue Reading →
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eric.ed.gov har udgivet: The Teacher Education and Mathematics project, funded by the Women’s Educational Equity Act, developed curriculum materials to increase mathematical knowledge and confidence, increase the perception of mathematics as a female domain, reduce math anxiety, and develop skills in identifying and counteracting sex bias in mathematics instruction. To develop effective materials, a formative evaluation was to document materials’ use at each stage of development, to assess student responses to materials, to collect judgment of external experts, and to collect reactions and suggestions of instructors who used the materials. Evaluation issues explored in this paper are: reliance on observer descriptions and participant ratings, effects on students and instructional staff of intensive observations, effects on students of frequent requests for feedback and evaluative reactions, and the extent to which professionals… Continue Reading →
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eric.ed.gov har udgivet: Writing is the ability to compose text effectively for different purposes and audiences. When many of us reflect on our own school experiences, we recall writing in English and history classes, but not in mathematics. Math classes previously relied on skill-building and conceptual understanding activities. Today, teachers are realizing that writing during a math lesson is more than just a way to document information; it is a way to deepen student learning and a tool for helping students gain new perspectives. They realize, too, that students whose strengths are language-based–and many are–use writing as the key to understanding other disciplines, especially mathematics. Like most things, learning to write well requires instruction and practice. In this booklet, the author aims to nudge secondary math teachers who are thinking… Continue Reading →
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eric.ed.gov har udgivet: This submission contains the Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Memorial University of Newfoundland in St. John’s, Newfoundland. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study Group are: to advance education by organizing and coordinating national conferences and seminars to study and improve the theories of the study of mathematics or any other aspects of mathematics education in Canada at all levels; and to undertake research in mathematics education and to disseminate the results of this research. These proceedings include plenary lectures, working group reports, topic session descriptions, new PhD reports, and summaries of ad hoc and… Continue Reading →
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eric.ed.gov har udgivet: Eleven experts in mathematics education, special education, and assessment completed an open-ended survey on current math instruction in relation to the “Curriculum and Evaluation Standards” of the National Council of Teachers of Mathematics and the perceived appropriateness and feasibility of the standards for students with disabilities. In general, the experts agreed that adoption of the Standards has been minimal and that math education in practice continues to emphasize basic skills. Two opposing viewpoints were evident in the experts’ responses. One viewpoint was that the Standards did not recognize the importance of individual differences and were not better than current practice in math education. The opposing viewpoint was that the Standards reflected a vision of what mathematics should be and that minimal, nonsubstantial modifications were needed for students… Continue Reading →
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