tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Everyday encounters with graphical representations include a variety of graphs that superficially appear similar due to their use of bars. This article examines students’ conceptions and misconceptions regarding the interpretation of variability in histograms, bar graphs, and value bar charts. A multiple choice assessment with brief written justifications was administered to students in an introductory level college statistics course. Assessment items included comparisons of variability among same-type graphs and questions regarding students’ ability to identify key features of the graphs. The study revealed that students struggle to make sense of the underlying structures of the various types of graphs and often disregard graph type as they transfer correct conceptions of variability for one type of graph erroneously to… Continue Reading →
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eric.ed.gov har udgivet: Schools around California are implementing the new Common Core State Standards. In math specifically, where significant disparities in proficiency exist for African American, Latino, and low-income students as compared to their white, Asian and higher-income peers, these new standards provide an opportunity to close achievement and opportunity gaps. Our new report, “Changing the Equation Ensuring the Common Core Math Standards Enable All Students to Excel in California Schools”, describes both the challenges districts face in implementing the new math standards and best practices for addressing these challenges. Specific examples include ways to create a culture of high expectations for all students, models for supporting teachers as they design and implement rigorous curriculum, and strategies for meaningfully engaging students and parents with the standards. In highlighting practices from… Continue Reading →
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eric.ed.gov har udgivet: The widespread adoption of the Common Core State Standards (2010) has caused mathematics and special educators to reconsider instructional methods. The Common Core introduces eight Standards for Mathematical Practice that outlines the dispositions that should be fostered in students. Most notable are those that push students to analyze problems, create a solution, explain/prove their reasoning to others and critique other students’ methods. Although direct instruction has been the primary approach advocated in working with students who have disabilities, this approach tends to teach basic skill proficiency with less emphasis on the problem solving advocated in the Common Core. In this paper, we use examples from our own teaching to offer an alternative to direct instruction for special education teachers who are moving into mathematics or co-teaching, an… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Abstract The Common Core State Standards for Mathematics have a widespread impact on children’s statistical learning opportunities. The Grade 6 standards are particularly ambitious in the goals they set. In this critique, experiences helping children work toward the Grade 6 Common Core statistics expectations are used in conjunction with previous research to identify ways in which the Grades 4–6 standards might be supplemented or revised to help maximize learning. It is suggested that opportunities for children to perceive datasets as aggregates and to draw reasonable conclusions about statistical data by attending to context should be purposefully introduced in Grades 4–5. Currently, the Common Core does not have explicit learning standards for these activities in fourth and fifth grade. It… Continue Reading →
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eric.ed.gov har udgivet: For school districts in California, just as one set of revolutionary new content standards is beginning to feel familiar, another deep change is brewing. Districts have now had more than five years to wrestle with how they implement the Common Core State Standards for Mathematics (CCSS-M) (NGA Center & CCSSO, 2010). Many have made large-scale changes in their systems. However, state math assessment scores have remained flat, suggesting that many districts may still be in the early stages of understanding and implementing changes that are necessary to support instruction. This report describes how 10 districts participating in the Math in Common (MiC) initiative have approached implementation of the CCSS-M somewhat differently. To implement their district visions of the CCSS-M, each MiC district’s MiC leadership team developed three… Continue Reading →
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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: Successful implementation of the Common Core State Standards for Mathematics (CCSS-M) should result in noticeable differences in primary and middle school math classrooms across the United States. “Common Core Math in the K-8 Classroom: Results from a National Teacher Survey” takes a close look at how educators are implementing the Common Core math standards in classrooms across the nation. A nationally representative survey of over one thousand teachers reveals that they are increasingly familiar with the Common Core and believe that it will benefit students. Yet findings also point to several areas that warrant mid-course corrections if the standards are going fulfill more rigorous expectations. Takeaways include the following: (1) Teachers like the Common Core but they don’t think all of their students and parents are equally… Continue Reading →
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eric.ed.gov har udgivet: Although mathematics standards have changed dramatically in recent years, teaching mathematics is as complex as it has always been. Some would argue that mathematics teaching has become even more complex, with the implementation of the Common Core State Standards for Mathematics (CCSS-M) (NGA Center & CCSSO, 2010), as teachers are being asked to make significant shifts in their instruction. The Math in Common (MiC) initiative was launched to support CCSS-M implementation in grades K-8 in 10 California school districts. As part of its evaluation of MiC, WestEd conducted classroom observations in participating MiC districts to document K-8 teachers’ instructional shifts related to the CCSS-M. The research staff visited elementary and middle school classrooms in nine MiC school districts, during the 2015-16, 2016-17, and 2017-18 academic years, to… Continue Reading →
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eric.ed.gov har udgivet: Math in Common® (MiC) is a five-year initiative that supports a formal network of 10 California school districts as they implement the Common Core State Standards in Mathematics (CCSS-M) across grades K-8. In spring 2015, WestEd administered surveys to understand the perspectives on Common Core State Standards-Mathematics (CCSS-M) implementation of teachers and administrators in eight California school districts participating in the Math in Common (MiC) initiative. Over 1,000 respondents replied to the survey, about some of the initial successes and challenges facing California educators attempting to put in place and support new–and what some consider revolutionary–ideas in U.S. mathematics education. The following are appended: (1) Research Methodology and Survey Sample, and (2) Sample Survey Item and Sub-Items. Link til kilde
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