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1.
What is the place of social theory in mathematics education research, and what is it for? This special issue of Educational Studies in Mathematics offers insights on what could be the role of some sociological theories in a field that has historically privileged learning theories coming from psychology and mathematics as the main theoretical frames informing research. Although during the last 10 years the term “socio-cultural” has become part of the accepted and widespread trends of mathematics education research when addressing learning, this issue gathers a collection of papers that depart from a “socio-cultural” approach to learning and rather deploy sociological theories in the analysis of mathematics education practices. In this commentary paper, we will point to what we see to be the contributions of these papers to the field. We will do so by highlighting issues that run through the six papers. We will try to synthetize what we think are the benchmarks of the social approach to mathematics education that they propose. We will also take a critical stance and indicate some possible extensions of the use of social theory that are not addressed in this special issue but nonetheless are worth being explored for a fuller understanding of the “social” in mathematics education. 相似文献
2.
Paul Ernest 《Science & Education》1993,2(1):87-93
Constructivism is one of the central philosophies of research in the psychology of mathematics education. However, there is a danger in the ambiguous and at times uncritical references to it. This paper critically reviews the constructivism of Piaget and Glasersfeld, and attempts to distinguish some of the the psychological, educational and epistemological consequences of their theories, including their implications for the philosophy of mathematics. Finally, the notion of cognizing subject and its relation to the social context is examined critically. 相似文献
3.
Much reference has been made to Paul Ernest??s ??philosophy of mathematics education?? to legitimise a strong fallibilist trend in mathematics education. This article presents the argument that: (1) This philosophy makes unwarranted assumptions that have been taken as ??given??. For example, that ??absolutist?? or ??Platonist?? views of mathematics necessarily imply the transmission model of teaching mathematics. (2) The very basis of this philosophy contains a contradiction: that mathematics cannot be separated from its social origins, yet mathematics has a logical necessity that is independent of its origin. (3) This philosophy downplays mathematics as a formal, academic system of knowledge in the attempt to promote a child-centred pedagogy or the mathematics of social practices. (4) Ernest??s attempt to semiotically reduce proof to calculation is flawed. This article explores what is meant by fallibilism in relation to the views of many educationalists who appear not to like mathematics as a formal, academic body of knowledge and draws out the educational implications of these views. 相似文献
4.
对数学本质种种理解的思考——-兼谈对数学本质认识的立场转移问题 总被引：1，自引：0，他引：1
章庆辉 《四川教育学院学报》2008,24(8):107-110
回顾了近年来国内几位知名学者对数学本质的一些讨论。认为对数学本质的认识具有个人建构性;对数学本质的认识的重心应从追求统一的形式定义转移到看这种认识能否在某些领域带来一些启发和作用,能否在某些方面影响我们的观念上来;对数学本质的种种认识在哲学、数学自身、数学教育三个领域产生了深远影响;着重探讨了对数学本质的认识对数学教育发展的影响。 相似文献
5.
Ethnomathematics originated in the former colonies, in response to the Eurocentrism of the history of mathematics, mathematics itself and mathematics education. It has also found expression in several other contexts. It is a part of the broader framework that elaborates the social and political dimensions of mathematics and mathematics education but especially, the dimension of culture. This focus on culture examined in the unique context of South Africa makes visible both conceptual difficulties in its formulation and also difficulties with respect to its interpretation into educational practice. This paper explores a critique of ethnomathematics using the South African situation and conceptual tools of a critical mathematrics education. 相似文献
6.
Dragan Trninic 《Instructional Science》2018,46(1):133-153
This conceptual paper considers what it would mean to take seriously Freudenthal's suggestion that mathematics should be taught like swimming. The general claim being made is that “direct instruction” and “discovery” are not opposite but complementary, linked by repetitive yet explorative practice. This claim is elaborated through an empirical case of martial arts instruction. That repetitive practice can nonetheless be a fountainhead of discovery is explained using Bernstein's notion of repetition-without-repetition. Finally, we attend to parallels in canonical mathematics practice. Implications are discussed, with a focus on reconceptualizing direct instruction, repetition, and discovery as complementary and synergistic. 相似文献
7.
CHRISTOPHER DUBBS 《Journal of Philosophy of Education》2020,54(3):521-540
The philosophical branch of ethics is foundationally concerned with the question of right or wrong, benevolent or harmful, and ultimately what is proper conduct. The present inquiry addresses two related questions: (1) How have theories of ethics been applied to mathematics education research? and (2) What alternatives have not been considered? What might the implications be if these alternative formulations were considered? To answer the first question, I offer a review of the philosophy of mathematics education literature, considering those articles which discuss ethics and mathematics education together. The ethical perspectives adopted within the literature span normative and non-normative, modern and postmodern orientations towards ethics. To answer the second question, I explored philosophy literature to identify which philosophical perspectives of ethics have (not) been adopted by philosophers of mathematics education research. The structure of this paper parallels these two questions: the first part considers the philosophy of mathematics education research and how researchers have defined ethics while the second part discusses additional philosophical approaches to ethics and puts those approaches into conversation with those identified in part one. I conclude by intertwining these two strands into my central thesis: ethics per se is construed too narrowly in the philosophy of mathematics education literature and considering additional ethical perspectives from philosophy can be generative of new ideas. 相似文献
8.
Megan H. Wickstrom 《Equity & Excellence in Education》2015,48(4):589-605
Creating equitable opportunities so all students can learn and succeed mathematically has been a key focus of mathematics education across several decades. Central to student achievement are students’ mathematical identity and their feelings of success during instruction. Researchers (e.g., Boaler & Staples, 2008) have shown that teachers can be particularly powerful in shaping students’ beliefs, feelings of success, and achievement, but few studies have investigated how teachers frame what it means to be successful or “smart” in mathematics. Through the social construct of smartness (Hatt, 2012) and the learning perspectives of incremental and entity theories (Blackwell, Trzesnieski, & Dweck, 2007; Yeager & Dweck, 2012), I examine how one teacher, Mrs. Purl, conceptualized what it meant to be smart in mathematics and how this perception changed slowly, over time, through repeated examination and discussion of individual student's thinking. As Mrs. Purl came to know her students at a personal level, she began to see that her perceptions were not always accurate and warranted reexamination. 相似文献
9.
教育哲学如何关怀生活？ 总被引：1，自引：0，他引：1
教育哲学最为关心的就是人的生活及教育实践,它的根本目的与方式是,通过思想为生活在一起的公民思辨塑造灵魂(德性)和社会正义的教育秩序的理想、目的或原则,这是教育哲学作为实践哲学的根本内涵.教育哲学无法直接去"过"生活,而只能是"思"生活或"言"生活.教育哲学的可能性在于能够提出教育和生活的基础问题,并在思想的深处反思造成现实困境与问题的价值、观念或意见.为此,教育哲学探寻涉及教育的理性真理,形而上地洞察教育存在的根本目的、价值和基础原则.教育哲学只有超越各种意见到达关于教育存在之根本秩序的理解,才能为生活及教育提供有意义的思想理论.如果教育哲学放弃或遗忘根基性的形而上追问,关于教育的形形色色的错误意见就无法得以辩明,教育哲学就会真正缺乏目的感、价值感和实践感,它自身也就真正疏离了生活及教育. 相似文献
10.
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
11.
Michael Friedrich Otte Tânia M. M. Campos Alexandre S. Abido 《Educational Studies in Mathematics》2013,82(3):397-415
Abstract educational practices are to be based on proven scientific knowledge, not least because the function science has to perform in human culture consists of unifying practical skills and general beliefs, the episteme and the techne (Amsterdamski, 1975, pp. 43–44). Now, modern societies first of all presuppose regular and standardized ways of organizing both our concepts and our institutions. The explanatory schemata resulting from this standardization tend to destroy individualism and enchantment. But mathematics education is in fact the only place in which to treat the human subject’s relationship with mathematics. And that is what mathematics education is all about: make the human subject grow intellectually and as a person by means of mathematics. At first sight, mathematics, in its formal guise, seems the opposite of philosophy, because philosophy constructs concepts (meanings), whereas mathematics deals with extensions of concepts (sets). We shall, however, turn this problem into an instrument, using the complementarity of intensions and extensions of theoretical terms as our main device for discussing the relationship between philosophy and mathematics education. The complementarity of the “how” and the “what” of our representations outlines, in fact, the terrain on which epistemology and education are to meet. 相似文献
12.
从哲学的语言学转向进入社会科学领域以来,"语言"也成为心理学研究的一个新的维度。由此,传统心理学的"语言缺失"问题的解决获得了新的契机,心理学的语言学转向使话语分析、话语伦理、语言形态等成为当今心理学研究的时代议题。从"语言学转向"的历史背景入手,在具体分析这场心理学思维方式变革的发生动因基础上,展示了其内在的发生逻辑。并总结和反思了这场转向的影响和意义,揭示了当前理论心理学的发展脉络和未来趋向。 相似文献
13.
Educators, not to mention philosophers of education, find themselves in a difficult position nowadays. They are confronted with problems such as which kind of values one would want citizens to embrace, or to what extent social practices of a particular group may differ from what is generally held. In this essay, Paul Smeyers and Yusef Waghid focus on postmodern critiques, in particular on the position of Michel Foucault as it is relevant for the debate on cosmopolitanism. The authors argue that Foucault's analysis of the self in relation to the other is somewhat contentious, as it seems to invoke an independent ethical self other than a social self. Smeyers and Waghid claim that a more nuanced position regarding this relation can be found in the work of Stanley Cavell. They conclude that encounters with the other should not be seen as a new kind of universalism or Foucauldian subjectivism, but rather as an opening that creates opportunities both for attachment and detachments, that is, for acknowledgment and avoidance. 相似文献
14.
我们应该如何认识数学的本质--对林夏水先生"论数学的本质"一文的商榷 总被引：4，自引：0，他引：4
对数学的本质应该怎样认识，这不仅是数学哲学的一个基本问题，而且是一个具有时代性、前瞻性、发展性、综合性的数学哲学核心问题．对数学本质的认识不应该从传统数学哲学的角度退缩到方法论的一个狭隘的层面，而应该从更广阔的、更为多样的角度进行透视．林夏水先生的“数学是一门演算的科学”的见解，忽略了数学的非演绎性和非算法性，因而无法完全概括数学的本质．在数学深刻的思想与知识变革过程中，“数学是关于模式的科学”的观点是对数学本质的恰当定位。 相似文献
15.
MORALIZED PSYCHOLOGY OR PSYCHOLOGIZED MORALITY? ETHICS AND PSYCHOLOGY IN RECENT THEORIZING ABOUT MORAL AND CHARACTER EDUCATION 总被引：1，自引：0，他引：1
David Carr 《Educational theory》2007,57(4):389-402
A bstract . Moral philosophy seems well placed to claim the key role in theorizing about moral education. Indeed, moral philosophers have from antiquity had much to say about psychological and other processes of moral formation. Given this history, it may seem ironic that much systematic latter-day theorizing about moral education has been social scientific, and that some of the major trends in the field have been led by empirical or other psychologists. Moreover, while acknowledging the influence of such major past philosophers as Plato, Aristotle, and Kant on the primary modern movements of cognitive developmentalism, care ethics, and character education, some recent social scientists have called for the development of a "psychologized morality" in the interests of an even more leading role for psychological research in the theory of moral formation. In this essay, David Carr surveys and critically evaluates these trends in theorizing moral education. 相似文献
16.
Constructivism,mathematics and mathematics education 总被引：1，自引：0，他引：1
Stephen Lerman 《Educational Studies in Mathematics》1989,20(2):211-223
Learning theories such as behaviourism, Piagetian theories and cognitive psychology, have been dominant influences in education this century. This article discusses and supports the recent claim that Constructivism is an alternative paradigm, that has rich and significant consequences for mathematics education. In the United States there is a growing body of published research that claims to demonstrate the distinct nature of the implications of this view. There are, however, many critics who maintain that this is not the case, and that the research is within the current paradigm of cognitive psychology. The nature and tone of the dispute certainly at times appears to describe a paradigm shift in the Kuhnian model. In an attempt to analyse the meaning of Constructivism as a learning theory, and its implications for mathematics education, the use of the term by the intuitionist philosophers of mathematics is compared and contrasted. In particular, it is proposed that Constructivism in learning theory does not bring with it the same ontological commitment as the Intuitionists' use of the term, and that it is in fact a relativist thesis. Some of the potential consequences for the teaching of mathematics of a relativist view of mathematical knowledge are discussed here. 相似文献
17.
谢明初 《广东教育学院学报》2008,28(5):97-100
基础主义和拟经验主义是数学哲学的两个主要派别,通过对其哲学立场的分析提出这两种哲学观的对立表现在数学教育中就是行为主义和建构主义的对立,从一个侧面表明数学哲学对实际数学活动的影响．这对我们有重要的启示,即不论是对数学教育研究还是数学课程改革来说都应该加强对数学哲学观的研究,从而使得数学教育的发展避免盲目性,增加哲学的自觉性． 相似文献
18.
深入贫困现象内部,关注致贫精神因素,探寻贫困内在机理,这是阻断贫困代际传递的关键。为了使家庭教育因素在阻断贫困代际传递中发挥扶贫、扶智的积极作用,早期家庭教育支持系统将教育精准扶贫的触角延伸到贫困家庭,以提升心理生活质量、适应心理文化环境、关注“积极影响”的积极心理学思想为理论支撑,目标是通过心理环境调整和心理生活优化,提升贫困家庭家长的心理生活质量,打造智慧型、公德观、幸福态和高质度家庭。早期家庭教育支持系统以心理生活质量为主轴,从三个维度上作出整体部署:第一,以能力—智慧为核心的积极个性特征心理资源供给,包括家庭教养理念、家庭教育能力和自我发展能力;第二,以道德—责任为核心的积极社会组织系统心性修养濡染,包括指向公民道德规范的政策舆论宣传、指向个体社会责任感的利他行为促进和指向良好村社关系的文化氛围营造;第三,以幸福—希望为核心的健康心理生活和谐体验,包括关注贫困家庭家长的高层次需要、帮助贫困家庭家长获得心理调适方法和促成贫困家庭家长的心理和谐体验。 相似文献
19.
毕达哥拉斯盟会是一个兼有政治性、宗教性、学术性和教育性的组织。其教育思想建立在哲学和科学理论基础上。其教育目的是培养能建立和指导完美社会秩序的人，以及遵循良好秩序的社会公民。毕达哥拉斯学派的教育内容是把数学放在最高的地位，同时注重音乐、天文、体育等和谐教育。毕达哥拉斯学派的教育思想推动了后世人们对崇高精神生活的追求；它是哲学史和教育史上的一大进步；它推动了哲学、科学和音乐教育思想的发展；但它关于灵魂不朽和灵魂轮回说对后世哲学、教育有着消极影响。 相似文献
20.
群体心理学视角下的民粹主义 总被引：1，自引：0，他引：1
林红 《河南师范大学学报(哲学社会科学版)》2007,34(1):16-20
民粹主义是一种批判性的社会理论,与历史上诸多的社会政治事件有着复杂的联系。它具有强烈的反现代化倾向,以大众为诉求对象,追求一种以理想的传统生活为蓝本的远景心愿。为了实现这一目标,民粹主义常常依赖道德感召和精神动员,而在其道德宣传背后,隐藏着一个以群体心理为特征的精神世界。从心理上看,民粹主义是典型的群体心理反映的结果,反映了转型社会中从个体到大众的心理变迁;它的批判精神与非理性倾向实际上是破坏性、精神统一性和冲动易变性等群体心理倾向的集中表达。 相似文献