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概念课是初中数学的基本课型.深度学习理论引导下的初中数学概念课教学应当被赋予新的含义,并且要让学生有一个新的学习过程.数学概念的深度学习,能够帮助学生获得对数学学科的正确理解,能够提升学生的数学学习品质.基于深度学习理论的初中数学概念课教学,应该让学生带着主动性、批判性和创造性去建构数学概念,需让学生在此基础上形成关于概念的理解,并且用数学语言去进行描述. 相似文献
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APOS理论从学生的认知心理角度出发,认为学生在学习数学概念的过程中要进行心理建构.在数学概念教学中运用APOS理论能够帮助学生从根本上认识数学概念的本质,强化对数学概念的理解,并建构起数学概念的体系,真正在解决问题的过程中运用数学概念形成自觉意识,从而使学生掌握数学思想和方法,提升对数学的认识. 相似文献
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传统数学教学方式存在不足,时代发展对数学教学和学生素养提升提出了新要求,数学核心概念主动建构教学实践历时十余年,经历四个阶段探索,以问题解决为导向、系列课题为引领、核心概念为标准、核心能力为目标,推动主动建构的研究、实践和推广,形成了数学概念主动建构的教学理论和学习方法.研究结果表明,数学核心概念主动建构提高了学生数学学习能力,提升了学生数学核心素养,促进了数学教师专业素养的发展. 相似文献
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数学概念是客观世界中数量关系和空间形式的本质属性在人脑中的反映,也是学生数学学习的逻辑起点和进行数学思维的核心.然而,在当前小学数学概念教学中,教师对学生在学习概念时的心理认识和数学概念思维过程的整体把握往往不到位,以致学生数学概念的建构过程不能有效展开.如何演绎概念建构过程,提高概念教学实效呢? 相似文献
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APOS理论是一种建构主义的数学学习理论,它强调学生在建构数学概念时要经历操作、过程、对象和图式阶段.职前教师在数列极限概念的建构中基本达到了前3个阶段,图式阶段仍需大幅度提高.本科生和专升本学生存在显著差异.职前教育应加强数学专业课程的教学,加强对中学数学教学内容的深层理解。 相似文献
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概念教学举足重轻。数学概念的基础性工具性,使数学教师倾向于让学生在运用概念中深化对概念的理解,教学过程往往被简约,似乎大容量就带来了学习的高效率。事实上,数学学习往往具有很大的隐蔽性,会求解运算并不一定意味着真正的理解,教学环节的缺失给学生概念建构的丰富与全面带来了影响。美国教育家杜宾斯基针对数学学科提出了APOS学习理论,其概念建构的层次性观点为数学概念教学应逐层渐进提供了理论基础, 相似文献
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陈文胜 《集美大学学报(教育科学版》2003,4(1):56-59
介绍了元学习的概念，分析了元学习与学习的内在联系，提出了元学习理论是数学学习指导的出发点和归宿，在此基础上，结合数学学科的性质特点，阐述了实施数学学习指导应该重视和注意的几个问题。 相似文献
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学生数学活动经验对于学生数学学习活动的开展、数学思想方法的领悟等方面有着十分重要的作用。经验学习理论对学生获得数学活动经验的教学具有重要的启示：为学生提供有层次性的、数学本质一样的、广泛的活动情境及足够的替代性经验,让学生经历参与、反思、内化等数学活动的全过程,及时反省、评价、抽象和运用在该过程中获得的经验,并利用“社会”因素,积极干预学习风格的不良影响,有助于学生获得充足的数学活动经验。 相似文献
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Cyril Julie 《British journal of educational technology : journal of the Council for Educational Technology》1991,22(2):99-109
There is widespread belief that computers should be used for the teaching and learning of mathematics. Research indicates that computers are primarily used in mathematics classes: (1) to reinforce previously taught concepts, (2) to allow students to construct computer programs to simulate mathematical techniques known to the student and (3) to explore mathematical microworlds encompassing mathematical ideas and concepts normally known to the student. Furthermore, it is said that pre-service teachers should experience the learning of mathematical ideas and concepts of which they had no prior experience in environments in which computers are just one of the resources available for exploring and experimenting with these ideas and concepts. How should these learning environments be constructed so that pre-service teachers are sensitised to the value of doing mathematics in such environments? Is a student's understanding of novel mathematical concepts enhanced when s/he explores it in a computer-enriched environment? An experiment with pre-service teachers was carried out in a college of education for blacks in South Africa. This article describes the insights gained from this experiment. 相似文献
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Ni Chang 《Journal of Early Childhood Teacher Education》2013,34(1):25-29
ABSTRACTTeaching mathematics in an early childhood program requires mathematical content knowledge and teacher self-efficacy, yet research has shown that early childhood educators often have negative attitudes towards mathematics and feel underprepared to teach mathematical concepts. The study reported here documents the reconceptualization of a graduate, preservice teacher education program, a program designed to address teacher anxiety and increase capacity to teach mathematics in a play-based early childhood setting. The study aimed to investigate: (1) the effectiveness of the mathematics component of the course in equipping teacher candidates to teach mathematics in early childhood, and (2) whether participation in the mathematics component of the course changed teacher candidates’ self-efficacy regarding mathematics. Findings show that both self-efficacy and content knowledge improved when teacher candidates had the opportunity to engage with play-based learning experiences that embed mathematical concepts. Furthermore, the focus on a learning trajectories approach supports the identification of developmental progression points in children’s emerging mathematical understanding, assisting with teacher candidates’ fine-grained observations, assessment of children’s learning, and authentic, individualized planning for learning. 相似文献
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数学教学的目的是把科学形态的数学有效地转化为教育形态的数学知识.引入知识元和问题活性化等新概念,以中学数学为例,对新概念进行解析,对提高教师在知识传授过程中活性化知识的量和质是十分有益的. 相似文献
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传统的数学知识观把数学知识看成是概念、原理、定理，符号等和静态集合体，将数学教学看成是“传授-接受”，有必要对其进行教育学的批判，而现代数学知识观测把数学和知识看成是一种动态的生成过程，将数学教学看成是“活动-建构”强调学生自身的经验与体验，数学学习是一个主动建构的过程。 相似文献
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Jill Adler 《Journal of Mathematics Teacher Education》2000,3(3):205-224
In this report, I examine resources and their use in school mathematics. I do so from the perspective of mathematics teacher
education and with a view to the practice of school mathematics. I argue that the effectiveness of resources for mathematical
learning lies in their use, that is, in the classroom teaching and learning context. The argument pivots on the concepts of
school mathematics as a hybrid practice and on the transparency of resources in use. These concepts are elaborated by examples
of resource use within an in-service teacher education research project in South Africa. I propose that mathematics teacher
education needs to focus more attention on resources, on what they are and how they work as an extension of the teacher in
school mathematics practice. In so doing, the report provides a language with which mathematics teacher educators and mathematics
teachers can investigate teachers' use of resources to support mathematical learning in particular and diverse contexts.
This revised version was published online in September 2006 with corrections to the Cover Date. 相似文献
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幼儿教师数学核心经验主要是指教师在教学实践中形成的数学领域至关重要的概念、能力或技能,对于幼儿的数学学习和教师的数学教学具有至关重要的作用。幼儿教师作为基本的学习者,其专业发展过程符合学习进阶的各项准则,不同职业发展阶段的幼儿教师有着各自不同的进阶轨迹。学习进阶强调学习是一种不断积累和发展的过程,并倡导为不同阶段的学习者设计不同的进阶框架,这为有效推动幼儿教师数学核心经验的发展提供了充分的理论参考。本研究在厘清幼儿教师数学核心经验内涵与结构的基础上,依据学习进阶的主要观点,建构幼儿教师数学核心经验的经验模型,并提出相应的教师培养策略,主要包括加强数学核心经验的学习共同体建设、制订数学核心经验的阶梯式成长方案和完善数学核心经验的质量监测指标。 相似文献
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采用追踪研究设计,以小学生数学学习为例,考察新课程改革的实施效果。研究从学生对数学的基本理解与计算能力、复杂问题解决能力、数学交流与应用意识以及对数学学习的兴趣与数学素养三个方面,实证分析参加新课程与原课程两组学生之间的差异。结果表明,使用新课程的学生对数学的基本理解与计算能力从整体上表现较好,但不如使用原课程学生在此方面的优势明显;与使用原课程学生相比,使用新课程的学生在高层次思维能力方面表现出明显优势,新课程比较明显地提高了学生的复杂问题解决能力、数学表达与交流及应用意识;新课程提高了学生学习数学的兴趣,学生也形成了良好的数学素养。 相似文献
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Designing an assessment system for complex thinking in mathematics involves decisions at every stage, from how to represent the target competencies to how to interpret evidence from student performances. Beyond learning to solve particular problems in a particular area, learning mathematics with understanding involves comprehending connections among mathematical ideas and applying them in ways that may not have been taught directly. A challenge in characterizing mathematical competency is to capture not only the variety of skills and concepts, but also their connections. Designing assessments based on learning progressions may be one way to respond to this challenge. We discuss our experience developing a learning progression and an associated task model for mathetical functions. 相似文献