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1.
This study examined the relationships between university mathematics classroom environments, mathematics beliefs, and achievement in the context of mainland China. As a type of affect in mathematics learning, mathematics beliefs including mathematics conceptions and efficacy were examined as mediators. Based on analysis of a sample of 1443 undergraduate students from a university in northern China, the study not only found that the mathematics classroom environment was associated with both affective and cognitive mathematics outcomes, but also confirmed the mediating role of mathematics beliefs. Specifically, a desirable classroom environment was related to students’ cohesive conceptions, enhanced self-efficacy, and higher mathematics achievement. In contrast, students’ perceived difficulty of learning mathematics was connected to their fragmented conceptions, reduced self-efficacy and lower mathematics achievement. Implications of the study are discussed. 相似文献
2.
Amy Noelle Parks 《课程研究杂志》2013,45(1):79-97
This paper adopts a rhetorical perspective in order to examine language about children in the discourse of mathematics education through a study of metaphor. Previous research has tended to emphasize the notion of ‘beliefs’, which locates responsibility for problematic conceptions of children within the heads of individuals, particularly practising and preservice teachers. Using the notion of metaphor, this paper examines several texts in US mathematics education, including conversations in an elementary classroom, a university mathematics methods classroom, mathematics textbooks, and standards documents. All of these texts draw on the metaphor of children’s learning as travel along a physical path, which supports talking and thinking about children in hierarchical ways. The dominance of this metaphor presents a new challenge for teacher educators concerned with equity: that of examining their own language and practices for hierarchical language. 相似文献
3.
Catherine Pearn 《欧洲师范教育杂志》1999,22(2-3):277-294
In this paper, the specific concerns for literacy and numeracy as we enter a new era are addressed through a discussion of an innovative mathematics early intervention programme, which the author and classroom teachers have developed and applied. ‘Mathematics Intervention ‘ is an innovative programme developed by three classroom teachers to identify, then assist, children in year 1 ‘at risk’ of not coping with the current mathematics curriculum. The programme incorporates assessment tools and learning activities based on recent research about children's early numerical learning. It develops the basic concepts of number upon which children build their understanding of mathematics. All three teachers participated in a professional development course, which developed skills that allow teachers to recognise which children have a problem, to identify the underlying problem and to provide appropriate activities to advance their mathematical development. The course highlights the benefits of clinical interviewing as an assessment tool and promotes various strategies that classroom teachers can use to assist the development of numerical concepts. ‘Mathematics Intervention’ is an example of a programme developed and implemented by classroom teachers using new learning processes designed to empower classroom teachers to meet the challenge of advancing all children's mathematical development. 相似文献
4.
新课改背景下,数学课堂教学创新势在必行。教师要有创新意识,对教学调度手段展开全面更新和实践,为学生带来更多鲜活数学体验认知,促进学生数学能力的提高。为学生创设适宜学习情境,增加数学操作,接轨生活数学,可以成功激活学生体验认知。文章对数学体验式教学策略进行探析。 相似文献
5.
AbstractIt is widely accepted in the mathematics education community that pedagogies oriented toward inquiry are aligned with a constructivist theory of learning, and that these pedagogies effectively support students’ learning of mathematics. In order to promote such an orientation, we first separate the idea of inquiry from its conception as a collection of methods. Then, by grounding those methods in a generally accepted theory of learning, we construct an inquiry-oriented pedagogy from a constructivist perspective. We then discuss the implications of this pedagogy for the design of mathematical tasks that democratize student access to inquiry. This work has implications for educators who wish to enact an inquiry-oriented pedagogy in their classroom in order to support their students’ problem solving and problem posing. 相似文献
6.
Toby Garfath 《Changing English: An International Journal of English Teaching》2015,22(1):112-124
Dominant and common-sense contemporary conceptions of practice tend to frame the emotional volatility of the classroom – most commonly explored in discussions about student behaviour – as a fundamental obstacle to teaching and learning. The ‘outstanding’ classroom is both orderly and, paradoxically perhaps, characterised by its passionate, and vocal, student engagement. In this piece I draw on D.W. Winnicott’s writing about play and aggression, exploring his ideas in the context of my work with two classes as a secondary English teacher at an inner-city comprehensive; doing so, I attempt to reframe both my own and my students’ affectively charged experience of the classroom as valuable rather than problematic. I posit certain moments of playfulness as a kind of pedagogical patience: less an evasion of, or a disruption to, the business of the curriculum, and more a route to meaningful engagement with it. 相似文献
7.
Mathematics learning difficulties in primary education: teachers’ professional knowledge and the use of commercially available learning packages 总被引：2，自引：0，他引：2
The present study builds on teachers’ professional knowledge about mathematics learning difficulties. Based on the input of 918 primary school teachers, an attempt is made to develop an overview of difficult curriculum topics in primary school mathematics. The research approach builds on new conceptions about the professional identity of teachers and earlier conceptions that point at the critical relevance of teachers’ pedagogical content knowledge. It is also found that the adoption of a specific commercially available learning package (CALP: manuals and exercise books used in the classroom) plays a mediating role. 相似文献
8.
张侨平 《课程.教材.教法》2021,41(1):105-109,137
普及教育推行以来,处理课堂中学生的学习差异一直是一个世界性的课题。在数学科,按照数学问题或习题的难度进行分层教学是一贯的做法,期望不同能力的学生逐阶而上。然而,激发学生的数学思考,提供不同学生更多的学习机会,是处理差异化教学的关键。在面对混合能力的大班教学中,运用数学开放问题,结合平行练习任务进行分层教学或是一条有效的处理学生数学学习差异的途径。 相似文献
9.
学生通过用数学语言说话可以培养数学感觉,还可以培养数学感情.数学语言基本单位分为5类:词素,单词和词组,句子和句群,段落,篇章.语言表达是人类能够交流思想、传播知识的前提,是人类社会能够赖以存在的必要条件之一.数学的应用和数学的思维过程也就是对数学符号的操作过程,是主体借助于语言符号而认识和再现以及改造现实世界的过程. 相似文献
10.
Camilla Björklund Eva Ahlskog-Björkman 《International Journal of Early Years Education》2017,25(2):98-111
Thematic work that integrates different knowledge areas is considered suitable for developing young children’s knowledge and skills in early childhood education. This paper reports evidence from a survey of early childhood teachers’ work with mathematics and art integrated in thematic work. In this study, we aim to explore how teachers perceive mathematics learning and teaching integrated with art. Data for analysis were collected from a questionnaire answered by 27 early childhood teachers from Finland and Sweden. Influenced by a sociocultural theoretical framework, the analysis concerns the teachers’ expressed goals for learning and their strategies for achieving these goals. The analysis reveals qualitatively different approaches to the learning goals addressed by the teachers – process-oriented, product-oriented, development-oriented and providing awareness – which, respectively, seem to generate different meanings of mathematical learning integrated with art. This study offers an overview of teachers’ approaches to teaching mathematics and art in thematic work, and of how different approaches may influence what mathematical meaning is offered to children to explore. 相似文献
11.
胡塞尔的数学学习经历是建立其现象学哲学思想的一个重要的基础,在其前期的《算术哲学》中他试图通过对数学基本概念的澄清来稳定数学的基础,在晚期的《论几何学的起源》中他认为几何学自身具备明见性的特点,应该回溯几何学的最源初的开端。胡塞尔关于数学起源的思想对今天的启示是数学的生活世界是可能的,现象学还原方法是数学史学研究的一个重要方法。 相似文献
12.
Despina A. Stylianou 《Journal of Mathematics Teacher Education》2010,13(4):325-343
Current reform efforts call for an emphasis on the use of representation in the mathematics classroom across levels and topics.
The aim of the study was to examine teachers’ conceptions of representation as a process in doing mathematics, and their perspectives
on the role of representations in the teaching and learning of mathematics at the middle-school level. Interviews with middle
school mathematics teachers suggest that teachers use representations in varied ways in their own mathematical work and have
developed working definitions of the term primarily as a product in problem solving. However, teachers’ conception of representation
as a process and a mathematical practice appears to be less developed, and, as a result, representations may have a peripheral
role in their instruction as well. Further, the data suggested that representation is viewed as a topic of study rather than
as a general process, and as a goal for the learning of only a minority of the students—the high-performing ones. Implications
for mathematics teacher education, prospective and practicing, are discussed. 相似文献
13.
This study examines the consequences of whole-body, multi-party activity for mathematics learning, both in and out of the classroom. We develop a theoretical framework that brings together contemporary theories related to social space, embodied cognition, and mathematical activity. Then, drawing on micro-ethnographic and case-comparative techniques, we examine and juxtapose two cases of implementing whole-body, collaborative movement to engage learners in the mathematics of number sense and ratio and proportion. Analytically foregrounding the interdependence among setting, embodied activity, and mathematical tools and practices, we illustrate how whole-body collaboration can transform how learners experience learning environments and make sense of important mathematical ideas. The analysis enriches our understanding of the changing spatial landscapes for learning and doing mathematics as well as how re-instating bodies in mathematics education can open up new forms of collective mathematical sense-making and activity. 相似文献
14.
In this paper, we use theoretical frameworks from mathematics education and cognitive psychology to analyse Cauchy’s ideas of function, continuity, limit and infinitesimal expressed in his Cours D’Analyse. Our analysis focuses on the development of mathematical thinking from human perception and action into more sophisticated forms of reasoning and proof, offering different insights from those afforded by historical or mathematical analyses. It highlights the conceptual power of Cauchy’s vision and the fundamental change involved in passing from the dynamic variability of the calculus to the modern set-theoretic formulation of mathematical analysis. This offers a re-evaluation of the relationship between the natural geometry and algebra of elementary calculus that continues to be used in applied mathematics, and the formal set theory of mathematical analysis that develops in pure mathematics and evolves into the logical development of non-standard analysis using infinitesimal concepts. It suggests that educational theories developed to evaluate student learning are themselves based on the conceptions of the experts who formulate them. It encourages us to reflect on the principles that we use to analyse the developing mathematical thinking of students, and to make an effort to understand the rationale of differing theoretical viewpoints. 相似文献
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16.
数学素养是现代社会公民应具备的基本素养,对于个体的终身发展具有重要的意义,应从幼儿园教育阶段就开始培养幼儿的数学素养。让幼儿体验到数学的重要性是促进幼儿数学素养发展的起点。由于幼儿尚不具备抽象思维能力,所以他们通常并不能自发体验到数学的重要性,而需要幼儿园教师的适当引导。教师应遵循兴趣激发原则、基本概念原则、自然引导原则,在幼儿园一日生活、区域游戏、集体教学中让幼儿充分感知和体验数学的重要性。只有引导幼儿体验到数学很重要,才能激发幼儿学习数学的信心与热情,提高幼儿对数学活动的兴趣与参与度,帮助幼儿开启真正愿意学习数学的过程,为幼儿数学素养的终生发展打下良好的基础。 相似文献
17.
In this paper, we use the work of philosopher Gilles Chatelet to rethink the gesture/diagram relationship and to explore the ways mathematical agency is constituted through it. We argue for a fundamental philosophical shift to better conceptualize the relationship between gesture and diagram, and suggest that such an approach might open up new ways of conceptualizing the very idea of mathematical embodiment. We draw on contemporary attempts to rethink embodiment, such as Rotman’s work on a “material semiotics,” Radford’s work on “sensuous cognition”, and Roth’s work on “material phenomenology”. After discussing this work and its intersections with that of Chatelet, we discuss data collected from a research experiment as a way to demonstrate the viability of this new theoretical framework. 相似文献
18.
There are two basic guiding referents in the present investigation: the teaching and learning of school-level geometry (basic concepts of Euclidian geometry and measure) and the analysis of the conceptions of prospective primary teachers in Spain. The work assumes that such conceptions appear and develop during school years, and that consequently, for the prospective teachers to learn to teach mathematics, account must be taken of the requirements that arise from these conceptions themselves and from the prospective teachers’ knowledge of school-level mathematics. The objective of the study was to describe and analyse prospective primary teachers’ conceptions of school-level geometry and it teaching and learning. To this end, we considered the hypothesis that the students’ memories and expectations provide information with which to characterize their conceptions of the field of geometry and its teaching/learning at the primary school level. 相似文献
19.
Irene Biza Elena Nardi Theodossios Zachariades 《Journal of Mathematics Teacher Education》2007,10(4-6):301-309
Research often reports an overt discrepancy between theoretically/out-of context expressed teacher beliefs about mathematics and pedagogy and actual practice. In order to explore teacher knowledge in situation-specific contexts we have engaged mathematics teachers with classroom scenarios (Tasks) which: are hypothetical but grounded on learning and teaching issues that previous research and experience have highlighted as seminal; are likely to occur in actual practice; have purpose and utility; and, can be used both in (pre- and in-service) teacher education and research through generating access to teachers’ views and intended practices. The Tasks have the following structure: reflecting upon the learning objectives within a mathematical problem (and solving it); examining a flawed (fictional) student solution; and, describing, in writing, feedback to the student. Here we draw on the written responses to one Task (which involved reflecting on solutions of $ {\left| x \right|} + {\left| {x - 1} \right|} = 0 $ ) of 53 Greek in-service mathematics teachers in order to demonstrate the range of teacher knowledge (mathematical, didactical and pedagogical) that engagement with these tasks allows us to explore. 相似文献
20.
数学史料是重要的教学素材之一,将数学史料渗透到数学教学中,能激发学生学习兴趣,调动学生学习的积极性和主动性,提高教学效率和教学质量,提升学生学科素养。文章通过分析课堂教学中史料渗透案例,探讨数学史料的渗透策略,以增强学生对数学史的了解和认知,让学生更加热爱数学学习。 相似文献