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Exemplifying definitions: a case of a square 总被引：1，自引：1，他引：0
In this study we utilize the notion of learner-generated examples, suggesting that examples generated by students mirror their
understanding of particular mathematical concepts. In particular, we explore examples generated by a group of prospective
secondary school teachers for a definition of a square. Our framework for analysis includes the categories of accessibility
and correctness, richness, and generality. Results shed light on participants’ understanding of what a mathematical definition
should entail and, moreover, contrast their pedagogical preferences with mathematical considerations. 相似文献
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Roza Leikin 《Journal of Mathematics Teacher Education》2003,6(4):297-329
The aim of the study presented in this paper was to explore factors that influence teachers' problem-solving preferences in the process of (a) solving a problem, (b) explaining it to a peer, (c) liking it, and (d) teaching it. About 170 mathematics teachers took part in the different stages of the study. A special mathematical activity was designed to examine factors that influence teachers' problem-solving preferences and to develop teachers' preferences concerning whether to use symmetry when solving the problems. It was implemented and explored in an in-service program for professional development of high-school mathematics teachers. As a result, three interrelated factors that influence teachers' problem-solving preferences were identified: (i) Two patterns in teachers' problem-solving behavior, i.e., teachers' tendency to apply a stereotypical solution to a problem and teachers' tendency to act according to problem-solving beliefs, (ii) the way in which teachers characterize a problem-solving strategy, (iii) teachers' familiarity with a particular problem-solving strategy and a mathematical topic to which the problem belongs. Findings were related to teachers' developing thinking in solving problems and using them with their students. The activity examined in this paper may serve as a model for professional development of mathematic teachers and be useful for different professional development programs. 相似文献
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Orit Zaslavsky Olive Chapman Roza Leikin 《Journal of Mathematics Teacher Education》2000,3(3):201-203
Editorial Board
Guest Editorial 相似文献4.
This study investigated the effects of the Arabic root in the visual word recognition process among young readers in order to explore its role in reading acquisition and its development within the structure of the Arabic mental lexicon. We examined cross-modal priming of words that were derived from the same root of the target (/murattabun/-/tarti:bun/well ordered–order) relative to prime words that included three letters of the target but not root letters (/tura:bun/-/tarti:bun/soil-order) in two elementary-school age groups: second grade and fifth grade. The results showed facilitation in lexical decisions about target words, suggesting that the root is a lexical unit that plays a crucial role in the processing and representation of Arabic from the early stages of written language acquisition. This issue may stem from the morpho-orthographic nature of the written Arabic word and/or from the semantic information conveyed from the roots’ morpheme. 相似文献
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The aim of the present study is to examine the influence of diglossia on linguistic and narrative structures in Arab kindergarten children by testing performance in production and comprehension. The 30 children who participated in our study were asked to retell one narrative text that was read aloud to them in Literary Arabic and another narrative text that was retold to them in Spoken Arabic. Then they were given a comprehension test that included questions pertaining to each of the two stories. In addition, two questionnaires were filled in by their parents, for collecting personal data and evaluating the level of the children’s exposure to Literary Arabic at home. The findings show a significant advantage in the retold spoken text over the retold literary text and in understanding the narrative-discourse. In addition, the findings show that the linguistic gap between Literary and Spoken Arabic seems to impact the level of mastery over linguistic structures in both forms of Arabic. Both of these findings indicate that, despite the fact that the exposure to Literary Arabic at a young age is informal and indirect, pre-school children are able to use linguistic structures from the literary language and to comprehend narrative texts. These results, with a particular emphasis on spoken and literary linguistic knowledge in pre-school children, are discussed herein in light of previous behavioral findings and models of development of narrative abilities in the Arabic language. 相似文献
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AbstractThe relationships between politics and teacher education have become increasingly close over recent decades in many contexts around the world, often causing significant challenges as well as some opportunities. In this article, we draw on a project on the reform of teacher education in Russia and through a comparison with the development of teacher education policy in England – especially over the last forty years – we explore how the evolution of a new politics in both contexts has affected policy on teaching and teacher education. Looking, for example, at ‘post-communism’ and ‘neoliberalism’ and their respective impacts on political systems, a number of contradictions and paradoxes are identified, when comparisons are drawn between the two systems. 相似文献
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Ilana Waisman Mark Leikin Shelley Shaul Roza Leikin 《International Journal of Science and Mathematics Education》2014,12(3):669-696
In this study, we examine the impact and the interplay of general giftedness (G) and excellence in mathematics (EM) on high school students’ mathematical performance associated with translations from graphical to symbolic representations of functions, as reflected in cortical electrical activity (by means of ERP—event-related potentials—methodology). We report on findings of comparative data analysis based on 75 right-handed male high school students (16?–?18 years old) divided into four research groups designed by a combination of EM and G factors. Effects of EM factor appeared at the behavioral and electrophysiological levels. The fifth group of participants included 9 students with extraordinary mathematical abilities (S-MG: super mathematically gifted). We found that in EM participants, the G factor has no impact on the performance associated with translation between representations of the functions. The highest overall electrical activity is found in excelling in mathematics students who are not identified as generally gifted (NG-EM students). This increased electrical activity can be an indicator of increased cognitive load in this group of students. We identified accumulative and unique characteristics of S-MG at the behavioral and electrophysiological levels. We explain the findings by the nature of the tasks used in the study. We argue that a combination of the ERP techniques along with more traditional educational research methods enables obtaining reliable measures on the mental processing involved in learning mathematics and mathematical problem solving. 相似文献