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Eric.ed.gov – Common Core State Standards for Mathematics: Teacher Self-Learning Series. Module 2: Focus and Coherence–The First Two CCSSM Shifts

eric.ed.gov har udgivet: This module examines Focus and Coherence, two of the three shifts required for implementation of the Common Core State Standards for Mathematics (CCSSM). Focus and Coherence are the two major design principles of the math standards. The module assumes prior knowledge of the information presented in Module 1. Course Objectives: By the end of the module, learner will be able to: (1) state the two levels of focus and find examples of each; (2) state the two levels of coherence and find examples of each; (3) use resources to determine major work for a specific grade or course in mathematics; and (3) define “CCSSM stream” and give an example which applies to a grade level or course which is of interest to the learner. (Contains 1 footnote.)… Continue Reading

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Eric.ed.gov – Problem Solving: How Do In-Service Secondary School Teachers of Mathematics Make Sense of a Non-Routine Problem Context?

eric.ed.gov har udgivet: The concept of mathematical problem solving is an important mathematical process in mathematics curricula of education systems worldwide. These math curricula demand that learners are exposed to authentic problems that foster successful problem solving. To attain this very important goal, there must be mathematics teachers well versed in content and the pedagogy of problem solving. This study investigated problem solving process of in-service secondary school teachers in a non-routine problem context. Teachers? written responses were examined based on Polya?s problem solving theory to elucidate their disposition in relation to the problem context. Findings suggest that the in-service teachers exhibit (1) greater lack of understanding of the non-routine problem, (2) insufficient capacity to select appropriate heuristic strategies, and (3) total failure to reach the final “look back” stage.… Continue Reading

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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 – Fostering Early Math Comprehension: Experimental Evidence from Paraguay

eric.ed.gov har udgivet: Research indicates that preschool children need to learn pre-math skills to build a foundation for primary- and secondary-level mathematics. This paper presents the results from the early stages of a pilot mathematics program implemented in Cordillera, Paraguay. In a context of significant gaps in teacher preparation and pedagogy, the program uses interactive audio segments that cover the entire preschool math curriculum. Since Paraguayan classrooms tend to be bilingual, the audio and written materials use a combination of Spanish and Guaraní. Based on an experimental evaluation since the program’s implementation, we document positive and significant improvements of 0.16 standard deviations in standardized test scores. The program helped narrow learning gaps between low- and high-performing students, and between students with trained teachers and those whose teachers lack formal training… Continue Reading

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Eric.ed.gov – Common Core: Solve Math Problems

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