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1.
Despite the wide interest in combining mathematics education and the history of mathematics, there are grave and fundamental problems in this effort. The main difficulty is that while one wants to see historical topics in the classroom or an historical approach in teaching, the commitment to teach the modern mathematics and modern mathematical techniques necessary in thepure and applied sciences forces one either to trivialize history or to distortit. In particular, this commitment forces one to adopt a Whiggish approach to the history of mathematics. Two possible resolutions of the difficulty are (1) radical separation – putting the history of mathematics on a separate track from the ordinary course of instruction, and (2) radical accommodation – turning the study of mathematics into the study of mathematical texts. 相似文献
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This study examined pre-service mathematics teachers’ knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4–8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males’ knowledge scores are significantly higher than females’ scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers’ knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers’ positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future. 相似文献
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The Sámi are an indigenous people of the Arctic, and through a resolution of the United Nations, Norway is bound to take care
of the Sámi culture and language. Since 1987 the Sámi have had their own curriculum, but they have no mathematics syllabus.
In this paper we summarize the legal acts that take care of the Sámi culture within the Norwegian educational system, and
then discuss three examples of Sámi mathematics, which can be part of a possible Sámi mathematics syllabus. First, a unit
of measurement is presented, second, a unique way of treating the ratios 2:1 and 1:2 is described, and finally the use of
some Sámi versus Norwegian geometry terms are exposed. The three examples are situated in relation to the Yup’ik Eskimo Mathematics
in a Cultural Context (MCC), as described by Lipka, Webster, and Yanez (2005) and their contribution in this special issue of Interchange. 相似文献
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Relations Between Students’ Mathematics Anxiety and Motivation to Learn Mathematics: a Meta-Analysis
Educational Psychology Review - The current meta-analysis examined the association between K-12 students’ motivation to learn mathematics and mathematics anxiety, and explored the effects of... 相似文献
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The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so—the so-called ‘whys’ and ‘hows’. More precisely, the ‘whys’ are divided into the two categories of ‘philosophy as a tool’ for teaching and learning mathematics, and ‘philosophy as a goal’, referring to a stance of considering it a purpose in itself to teach students certain aspects regarding the philosophy of mathematics. A division of the ‘hows’ into three different categories is offered: illumination approaches; modules approaches; and philosophy-based approaches. A major part of the article is spent on providing illustrative exemplifications of each of these approaches by referring to already implemented uses of philosophy of mathematics in mathematics education as well as by suggesting new ones. 相似文献
7.
Hilary Povey 《Science & Education》2014,23(1):143-157
This article develops the argument that students in initial teacher education benefit in terms of who they are becoming from developing awareness of and engagement in the history of mathematics. Initially, current school mathematics practices in the UK are considered and challenged. Then the role of teachers’ relationship to mathematical subject knowledge and of teachers’ engagement in critical thinking are considered. Connections are made between these concerns and studying the history of mathematics in initial teacher education classrooms. I then draw on the perspectives and practices of the mathematics teacher educators at one institution to understand these connections better and to exemplify them. Issues of equity are threaded throughout. 相似文献
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Lynn T. Goldsmith Helen M. Doerr Catherine C. Lewis 《Journal of Mathematics Teacher Education》2014,17(1):5-36
How do practicing mathematics teachers continue to develop the knowledge and habits of mind that enable them to teach well and to improve their teaching over time? The question of how (and what) teachers learn lies at the crux of any effort to provide high-quality mathematics teaching for all students. This article reviews 106 articles written between 1985 and 2008 related to the professional learning of practicing teachers of mathematics. We offer a synthesis of this research, guided by Clarke and Hollingsworth’s (Teach Teach Educ 18(8):947–967, 2002) dynamic model of teacher growth. Their model emphasizes the recursive nature of teachers’ learning and suggests that growth in one aspect of teachers’ knowledge and practice may promote subsequent growth in other areas. We report the results in six major areas of teacher learning, identify several crosscutting themes in the literature, and make recommendations for future research aimed at understanding teachers’ professional learning. 相似文献
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Bruce A. Kimball 《Educational theory》2013,63(2):171-184
The question whether the study of education and teacher education belong at a liberal arts college deserves careful consideration. In this essay Bruce Kimball analyzes and finds unpersuasive the three principled rationales that are most often advanced on behalf of excluding educational studies, teacher education, or both from a liberal arts college. Specifically, Kimball argues that no principled definition of the conventional liberal arts disciplines excludes the study of education without barring other fields now regarded as legitimate, and consistency demands that all such fields be excluded if any are. In addition, teacher education, even if considered as merely “craft know‐how” or as professional training, cannot be excluded from liberal arts colleges without arbitrarily classifying it as suspect and subjecting it to strict scrutiny. But the question of whether educational studies or teacher education fit any asserted definition of liberal education does not finally resolve the question of whether they belong in a liberal arts college. Kimball concludes by suggesting that there are moral and prudential reasons for liberal arts colleges to offer teacher education and, concomitantly, the study of education, even apart from the unpersuasive objections that they do not fit a definition of liberal education. 相似文献
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There have been significant advance in educational technology but they have not always brought about measurable shifts in user behavior. This study examined the relationship between teachers’ knowledge about a tool and their use of that tool. In many secondary schools use of a Learning Platforms (LPs) is no longer optional although the degree of engagement with the technology remains a matter of choice. However, individual decisions to use selected functionalities of these systems are not well captured in current models of technology acceptance. In a best-case scenario, self-reported possible and actual use of LPs was acquired for 50 teachers from eight technology-rich schools. Three key barriers to use were identified: the functionality of the software, workloads and personal interest. Based on teachers’ knowledge of LP functionality and perceived barriers to use, four distinct groups of teachers emerged. A low-user group identified all three barriers, showed little enthusiasm for use of this technology and had a markedly impoverished perception of the LP. There were three distinct higher use groups based on perceived barriers. While the functions used by these three groups showed less variation, with innovative functions such Blogs and Wikis remaining aspirational, there were differences in how such limitations were viewed. Whether the response was one of complacency and frustration has implications for professional development programmes. 相似文献
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Ayalon Michal Naftaliev Elena Levenson Esther S. Levy Sigal 《International Journal of Science and Mathematics Education》2021,19(8):1695-1716
International Journal of Science and Mathematics Education - This study explores secondary mathematics teachers’ attention to the three components of Jaworski’s (1992) “teaching... 相似文献
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Uffe Thomas Jankvist 《Science & Education》2013,22(3):635-656
The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different ‘whys’ and ‘hows’ of including these three dimensions in mathematics education. Based on the observation that a use of history, applications, and philosophy as a ‘goal’ is best realized through a modules approach, the article goes on to discuss how to actually design such teaching modules. It is argued that a use of primary original sources through a so-called guided reading along with a use of student essay assignments, which are suitable for bringing out relevant meta-issues of mathematics, is a sensible way of realizing a design encompassing the three dimensions. Two concrete teaching modules on aspects of the history, applications, and philosophy of mathematics—HAPh-modules—are outlined and the mathematical cases of these, graph theory and Boolean algebra, are described. Excerpts of student groups’ essays from actual implementations of these modules are displayed as illustrative examples of the possible effect such HAPh-modules may have on students’ development of an awareness regarding history, applications, and philosophy in relation to mathematics as a (scientific) discipline. 相似文献
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《Journal of moral education》2012,41(1):60-65
Abstract Writing in the January 1986 issue of the Journal of Moral Education, Walkling and Brannigan draw attention to an apparent conflict between antiracist and antisexist education. They argue that antiracists, by accepting demands from sections of the Muslim community for single‐sex and denominational schools, may be seen as inhibiting the emancipation of Muslim girls. We attempt to highlight the conservative implications of their argument and show, among otherthings, that it is premissed upon an impoverished understanding of both antiracist and antisexist initiatives, a simplistic and misleading portrayal of Muslim culture (and in particular family life), and a specious juxtaposition of state education as ‘transformative’ and single‐sex Muslim schools as ‘transmissionist’. 相似文献
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Mary Klein 《Asia-Pacific Journal of Teacher Education》1998,26(1):75-85
Teacher educators often tend to place enormous faith in constructivist approaches to teaching, which emphasise collaboration, inquiry and problem solving. With reference to my own pedagogical practices in preservice teacher education, I argue that constructivist practice may in fact cement, rather than challenge, the taken‐for‐granted cultural, sexist and racist assumptions informing teaching‐mathematics‐as‐usual. I suggest that students should experience a different mathematics; a mathematics that reveals how processes of collaboration and inquiry, based on constructed binaries, selectively constitute mathematical subjectivities. Preservice teachers and teacher educators who are aware of activities and practices which are overly regulatory and/or discriminatory might work together to re‐vision and enact an alternative mathematics: a mathematics able to challenge and disrupt the status quo. 相似文献
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Kristján Kristjánsson 《Cambridge Journal of Education》2008,38(2):217-230
This paper explores three psychological theories of self – Kenneth Gergen's theory of the crystallised self, Carol Dweck's theory of the incremental self and William Swann's theory of the homeostatic self – for their ability to account for personal change in general, and radical self‐change in particular. Special attention is paid to their educational implications. The overall conclusion is that whereas all three theories provide important insights into self‐change, none of them gives a fully satisfying account. 相似文献
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This study explored what kind of mathematics is needed in cabinetmakers’ everyday work and how problem solving is intertwined in it. The informants of the study were four Finnish cabinetmakers and the data consisted of workshop observations, interviews, photos, pictures and sketches made by the participants during the interviews. The data was analysed using different qualitative techniques. Even though the participants identified many areas of mathematics that could be used in their daily work, they used mathematics only if they were able to. The cabinetmakers’ different mathematical skills and knowledge were utilized to their skill limit. Cabinetmakers were found to constantly face problem solving situations along with the creative processes. Being able to use more advanced mathematics helped them to solve those problems more efficiently, without wasting time and materials. Based on the findings, the paper discusses the similarities and differences between problem solving and creative processes. It is suggested that the combination of craftsmanship, creativity, and efficient problem solving skills together with more than basic mathematical knowledge will help cabinetmakers in adapting and surviving in future unstable labour markets. 相似文献
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Gravemeijer Koeno Stephan Michelle Julie Cyril Lin Fou-Lai Ohtani Minoru 《International Journal of Science and Mathematics Education》2017,15(1):105-123
This paper attempts to engage the field in a discussion about what mathematics is needed for students to engage in society, especially with an increase in technology and digitalization. In this respect, mathematics holds a special place in STEM as machines do most of the calculations that students are taught in K-12. We raise questions about what mathematical proficiency means in today’s world and what shifts need to be made in both content and pedagogy to prepare students for 21st Century Skills and mathematical reasoning. 相似文献