eric.ed.gov har udgivet: The new common core standards for mathematics demand that students (and teachers!) exhibit deeper conceptual understanding. That’s music to the ears of education professor John Tapper, who says teachers have overemphasized teaching procedures–and getting right answers. In his new book, “Solving for Why,” he makes a powerful case for moving beyond right and wrong and exploring what students understand, where they are struggling, and most important, why they are struggling. The author talked with Tapper about concrete-representational abstract assessments, or CRA, a tool that does just that. It’s easy to do, and it provides a sophisticated portrait of kids’ models for mathematical concepts. That ties in with the Core, and with Tapper’s call for teachers to focus on the learner. Link til kilde
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eric.ed.gov har udgivet: In 1999, Richard Lee Colvin published an article in “The School Administrator” titled “Math Wars: Tradition vs. Real-World Applications” that described the pendulum swing of mathematics education reform. On one side are those who advocate for computational fluency, with a step-by-step emphasis on numbers and skills and the algebra-geometry-trigonometry-calculus sequence. On the other side are those who think students must engage with real-world problems that employ a variety of mathematical disciplines and deep learning of math concepts that comes from struggling with complex problems, comparing multiple solution paths, and learning from trial and error. To understand what it will take to bring the two sides of the mathematics debate together, first consider the approach each side takes to improve student achievement. One side wants to focus mostly… 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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eric.ed.gov har udgivet: The aim of this study is to investigate how an augmented reality mobile math trails program can provide opportunities for students to engage in meaningful mathematical modelling activities. An explorative research design was conducted involving two mathematics teachers and 30 eight grades in Semarang, Indonesia. An Augmented Reality Mobile Math Trails App was created, and several math trail tasks were designed, then students run the activity. Data were gathered by means of participatory observation, interviews, questionnaires, tests, and worksheets. Data analysis began with the organisation, annotation, description of the data and statistic tests. The findings indicate that an educational program was successfully designed, which offered students a meaningful mathematical experience. A mobile app was also developed to support this program. The mobile app with augmented reality features… Continue Reading →
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eric.ed.gov har udgivet: In Yucatec Maya middle schools in the Yucatán, math scores are low and drop out rates are high. Although addressing larger social and economic causes may ameliorate these issues, improving math instruction may be a more immediate, feasible approach. This ethnographic, mixed-methods study explores community approaches to problem-solving relevant to middle school math classrooms. Findings indicate: (1) community members possess specialized, practical mathematical expertise that is overlooked in the research around rural, impoverished students, and (2) formal math instruction misses opportunities to capitalize upon cultural approaches involving autonomy and improvisational expertise. Results are relevant for curriculum reform in the US, México, and beyond. [For the complete proceedings, see ED583608.] Link til kilde
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eric.ed.gov har udgivet: Myths about early education abound. Many beliefs people hold about early math have a grain of truth in them, but as a whole are not true–they are largely myths. But the myths persist, and many harm children. In this article, we address ubiquitous math myths that may be negatively affecting many young students. We conclude that avoiding the myths and listening to the findings of research and the wisdom of expert practice will serve both teachers and children well. Link til kilde
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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 →
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eric.ed.gov har udgivet: This study examines whether creating a mathematics-based digital story increases pre-service teachers’ understanding of the problem solving process, the relationship among visual, auditory and verbal representation in critical thinking/problem solving in mathematics. Survey results indicated that pre-service teachers were unfamiliar with the uses of technology in the teaching process. However, as they worked through the writing/problem solving procedures and constructed digital stories, they became more aware of the advantages of using this multimodal product, called Math-eos, to teach mathematical concepts to elementary/middle school students. The pre-service teachers perceived that Math-eos offered a “cool” new tool for their own learning and teaching and for integrating digital technology in mathematics education to increase student engagement, motivation and acquisition of content knowledge. Link til kilde
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