tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT This paper addresses a call for teachers to promote students’ knowledge of criteria and standards within curriculum domains for self-monitoring and improvement purposes. We present the case for students to develop, as part of their learning in content areas, the evaluative knowledge and expertise of the type that teachers bring to the classroom. The aim is to reduce trial-and-error learning by introducing approaches to systematically lessen student dependence on the teacher as the sole or primary source of feedback. In making the case, we draw on a range of salient, empirical projects conducted from 2005–2016 to illustrate key ideas for embedding criteria and standards into practice using what we refer to as ‘an inquiry mindset’ for teachers and… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. ABSTRACT Ordinary differential equations (ODEs) have a wide range of potential applications in science and engineering with regard to nonlinear dynamic systems. Frequently, there is a focus upon locating unique solutions to ODEs, with non-unique solutions being viewed as potentially problematic. However, some have recognized the importance of examining the character of non-unique solutions as well in order to properly understand the behaviour of physical systems. In some areas of engineering, notably control theory, the latter concern has become… Continue Reading →
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eric.ed.gov har udgivet: The study reported here addresses pre-service and in-service teachers’ attitudes toward mathematical-geometrical definitions. The goal of the study is to investigate whether understanding the role of definitions as classification and identification criteria will guarantee that participants: (1) accept that there may be more than one equivalent definition for particular concept; and (2) accept the minimal definitions which include necessary and sufficient attributes to be legal definitions. Fifty-three math educators participated the study, including 22 preservice junior teachers, 19 pre-service senior teachers and 12 in-service senior teachers. The findings indicate that considering (an) attribute/s as sufficient in order to classify examples and non-examples of the concept did not guarantee considering this/ese attributes as concept definition. 56% of the participants did not accept equivalent definitions as legal definitions, 36%… Continue Reading →
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eric.ed.gov har udgivet: This resource is part of a series produced by the Center for Standards and Assessment Implementation (CSAI) to assist teachers and those who support teachers to plan teaching and learning from College and Career Ready Standards (CCRS) for all students, including students with disabilities, English learners, academically at-risk students, students living in extreme poverty, and gifted/talented students. The series of resources addresses key shifts in learning and teaching represented in the CCRS. This resource uses the Common Core State Standards (CCSS; National Governors Association Center for Best Practices, Council of Chief State School Officers, 2010) as an example of CCRS. The processes described in this resource are applicable to all States’ CCRS, including the CCSS. The content of this resource is drawn from leading theory and research… Continue Reading →
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