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Eric.ed.gov – Classroom Observations: Documenting Shifts in Instruction for Districtwide Improvement. Formative Evaluation Cycle Report for the Math in Common Initiative, Volume 2

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. This research brief explores how best to select or develop and use classroom observation systems in order to document instructional shifts and inform MiC school district improvement efforts. The report is organized into three main sections: (1) An exploration of what the research literature says about existing observation systems and several design considerations for successful observation systems; (2) A detailed discussion of several considerations of these findings for school districts as they implement observation systems in order to better track and understand how teachers are implementing the Common Core State Standards in Mathematics in their… Continue Reading

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tandfonline.com – An Example of an Improvable Rao–Blackwell Improvement, Inefficient Maximum Likelihood Estimator, and Unbiased Generalized Bayes Estimator

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract The Rao–Blackwell theorem offers a procedure for converting a crude unbiased estimator of a parameter θ into a “better” one, in fact unique and optimal if the improvement is based on a minimal sufficient statistic that is complete. In contrast, behind every minimal sufficient statistic that is not complete, there is an improvable Rao–Blackwell improvement. This is illustrated via a simple example based on the uniform distribution, in which a rather natural Rao–Blackwell improvement is uniformly improvable. Furthermore, in this example the maximum likelihood estimator is inefficient, and an unbiased generalized Bayes estimator performs exceptionally well. Counterexamples of this sort can be useful didactic tools for explaining the true nature of a methodology and possible consequences when some of… Continue Reading

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Eric.ed.gov – Teacher Effectiveness and Improvement in Charter and Traditional Public Schools

eric.ed.gov har udgivet: Study after study has found that new teachers tend to be less effective than educators with more experience. But despite having more junior staff, charter networks (referred to as CMOs) often outperform their district peers. So what’s their secret? To find out, this study explores how teacher effectiveness varies and evolves across traditional and charter public schools, as well as within the sector’s CMOs and standalone schools. Using data collected by the Pennsylvania Department of Education between 2007 and 2017, George Mason University associate professor Matthew Steinberg and University of Pennsylvania doctoral student Haisheng Yang examine the impact that over 40,000 teachers in charter and traditional public schools had on students’ math and English language arts (ELA) achievement in grades three through eight. Among the report’s key… Continue Reading

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Eric.ed.gov – Teachers’ Use of a Pedagogical Framework for Improvement in Mathematics Teaching: Case Studies from YuMi Deadly Maths

eric.ed.gov har udgivet: This paper describes the pedagogical framework used by YuMi Deadly Maths, a school change process used to improve mathematics teaching and thus enhance employment and life chances for socially disadvantaged students. The framework, called the RAMR cycle, is capable of being used by mathematics teachers for planning and delivering lessons and units of work with minimal training and external support, as demonstrated by three case studies. These, and other cases, suggest that the YuMi Deadly Maths approach is an effective model for scaling up professional development programs where school participation is voluntary and costs have to be minimised. Link til kilde