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Burgos Maria Godino Juan D. 《International Journal of Science and Mathematics Education》2022,20(2):367-389
International Journal of Science and Mathematics Education - Solving problems by different methods, identifying the knowledge put at stake in each case, and stating variants of the problems are... 相似文献
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ABSTRACTA subject of growing interest in mathematics education is the affective domain and its effects on the teaching and learning processes, giving rise to different models of its components and conditioning factors. In this paper, we apply the ontological and semiotic categories from the Onto-Semiotic Approach (OSA) to research in mathematics education, to build an inclusive and systematic model to consider affective situations, practices, objects and processes, as well as the corresponding dualities: personal – institutional, ostensive – non-ostensive, extensive – intensive, unitary – systemic, expression – content. The dynamic character of affects (emotions, attitudes, beliefs and values) and their relations with the epistemic, cognitive, interactional and resources is modelled by the didactical configuration and didactical trajectory notions, theoretical tools which include the affective sub-configuration and sub-trajectory as key components. Another result obtained from this work is the revision of the indicators of affective suitability proposed in previous works. 相似文献
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Paul Drijvers Juan D. Godino Vicen? Font Luc Trouche 《Educational Studies in Mathematics》2013,82(1):23-49
A deep understanding of students?? learning processes is one of the core challenges of research in mathematics education. To achieve this, different theoretical lenses are available. The question is how these different lenses compare and contrast, and how they can be coordinated and combined to provide a more comprehensive view on the topic of study. To investigate this, one single episode is analyzed with two theoretical lenses, the instrumental genesis perspective and the onto-semiotic approach. The results from this joint analysis provide a rich view on the observed phenomena and help to identify the affordances and constraints of each of the two theoretical approaches and to articulate them. This way, the networking of theories proves to affect theoretical advancements. 相似文献
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Scheiner Thorsten Godino Juan D. Montes Miguel A. Pino-Fan Luis R. Climent Nuria 《Educational Studies in Mathematics》2022,111(2):253-270
Educational Studies in Mathematics - This paper explores how different schools of thought in mathematics education think and speak about preparing mathematics for teaching by introducing and... 相似文献
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M. C. Batanero J. D. Godino H. G. Steiner E. Wenzelburger 《Educational Studies in Mathematics》1994,26(1):95-102
In this report we present the results of an international research study on the training of researchers in mathematics education. the study was carried out by some members of the international study group on theory of mathematics education. the research involved developing a questionnaire which was mailed to numerous institutions all over the world and the analysis of the answers which were received. the main objective of the study was to collect international data about the training of researchers in mathematics education and to establish an information network about graduate programs in the field. a total of about 150 questionnaires were sent out and 78 answers received. fifteen of these answers came from universities that wish to participate in the network although they do not have a program at present.Deceased. See obituary following this article. 相似文献
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Luis?R.?Pino-FanEmail author Juan?D.?Godino Vicen??Font 《Journal of Mathematics Teacher Education》2018,21(1):63-94
In recent years, there has been a growing interest in studying the knowledge that mathematics teachers require in order for their teaching to be effective. However, only a few studies have focused on the design and application of instruments that are capable of exploring different aspects of teachers’ didactic-mathematical knowledge about specific topics. This article reports the results obtained following the application of a questionnaire designed specifically to assess certain key features of prospective, higher secondary-education teachers’ knowledge of the derivative. The questionnaire was constructed using a theoretical model of mathematical knowledge for teaching based on the onto-semiotic approach to mathematical knowledge. 相似文献
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Although studies on students’ difficulties in producing mathematical proofs have been carried out in different countries,
few research workers have focussed their attention on the identification of mathematical proof schemes in university students.
This information is potentially useful for secondary school teachers and university lecturers. In this article, we study mathematical
proof schemes of students starting their studies at the University of Córdoba (Spain) and we relate these schemes to the meanings
of mathematical proof in different institutional contexts: daily life, experimental sciences, professional mathematics, logic
and foundations of mathematics. The main conclusion of our research is the difficulty of the deductive mathematical proof
for these students. Moreover, we suggest that the different institutional meanings of proof might help to explain this difficulty.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
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Carmen Batanero Virginia Navarro-Pelayo Juan D. Godino 《Educational Studies in Mathematics》1997,32(2):181-199
Elementary combinatorial problems may be classified into three different combinatorial models (selection, partition and distribution). The main goal of this research was to determine the effect of the implicit combinatorial model on pupils' combinatorial reasoning before and after instruction. When building the questionnaire, we also considered the combinatorial operation and the nature of elements as task variables. The analysis of variance of the answers from 720 14–15 year-old pupils showed the influence of the implicit combinatorial model on problem difficulty and the interaction of all the factors with instruction. Qualitative analysis also revealed the dependence of error types on task variables. Consequently, the implicit combinatorial model should be considered as a didactic variable in organising elementary combinatorics teaching. 相似文献
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