共查询到20条相似文献，搜索用时 31 毫秒
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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
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AbstractThis study examines four of the most commonly-used core mathematics curricula in the USA for evidence of support for research-based instructional strategies for mathematics vocabulary in first and second grade. Content analyses of the teachers’ editions of two units for each grade level were analyzed per curriculum (n?=?16). Statistically significant differences among curricula were found for number of target words (range 6–51 per unit), level of difficulty of terms (basic to technical), and number of support strategies per word. Multiple means of representation varied in terms of verbal and non-verbal strategies for target terms. These differences indicate children are experiencing substantially different mathematics vocabulary learning opportunities, which may impact later mathematics achievement. Implications for practice, curriculum development, and future research are addressed. 相似文献
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张友梅 《佳木斯教育学院学报》2013,(7):190-191
通过对高等数学教材进行研究,挖掘蕴含在高等数学中的数学美,引导学生发现数学美,欣赏数学美,创造数学美。教学中,我们可以多角度、多层次地展示数学美,逐步培养学生数学美感和审美能力,增强学生的创新意识,提升学生的数学素质。 相似文献
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Kathleen Michelle Clark 《Educational Studies in Mathematics》2012,81(1):67-84
The use of the history of mathematics in teaching has long been considered a tool for enriching students’ mathematical learning. However, in the USA few, if any, research efforts have investigated how the study of history of mathematics contributes to a person's mathematical knowledge for teaching. In this article, I present the results of research conducted over four semesters in which I sought to characterize what prospective mathematics teachers (PMTs) understand about the topics that they will be called upon to teach in the future and how that teaching might include an historical component. In particular, I focus on how the study and application of the history of solving quadratic equations illuminates what PMTs know (or do not know) about this essential secondary school algebraic topic. Additionally, I discuss how the results signal important considerations for mathematics teacher preparation programs with regard to connecting PMTs' mathematical and pedagogical knowledge, and their ability to engage in historical perspectives to improve their own and their future students' understanding of solving quadratic equations. 相似文献
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提高学生的数学素养是基础教育数学新课程的重要目标之一，数学素养有其丰富的内涵，作为数学新课程的一个重要理念，它从以下三个维度体现出来：数学学科的认识论价值、方法论价值和育人价值。 相似文献
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张雄 《陕西教育学院学报》2006,22(2):9-12
数学可分为研究性数学和教育性数学。研究性数学主要注重科学逻辑的序,而教育性数学则注重科学逻辑的序与认知心理的序之间的完美结合,后者即“教育数学”。教育数学是在研究性数学基础上的再创造、再提高,教育数学对数学教育改革具有深远的意义。 相似文献
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Muhammad Maqsud 《Educational research; a review for teachers and all concerned with progress in education》2013,55(2):237-243
An experiment was conducted to examine the effects of metacognitive instruction on mathematics achievement and attitude towards mathematics of low mathematics achievers at a middle school in the North‐West Province of South Africa. Forty standard (std) 7 pupils were identified whose non‐verbal general ability and previous mathematics achievements were significantly lower than those of other std 7 pupils. These subjects were randomly assigned to an experimental group and a control group. Metacognitive strategies in solving mathematical problems related to four mathematics topics were individually taught to the members of the experimental group, while the pupils in the control group were taught the four mathematics topics through the conventional method of teaching mathematics. The comparisons of pretest and posttest measures of general ability, metacognitive awareness, attitude towards mathematics, and mathematics achievement revealed that the posttest scores of all the four variables for the experimental group were significantly higher than those for the control group. 相似文献
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Teomara Rutherford Allison S. Liu Arena S. Lam Katerina Schenke 《Journal of Research on Technology in Education》2020,52(1):79-94
AbstractSelf-beliefs are important determinants of student choice and success (Wigfield & Eccles, 2000) and are informed by student educational experiences, such as prior success with a task (Bandura, 1986). The potential for Computer-Based Interventions as self-belief-supporting learning environments is examined in this study, focusing on the mathematics software, Spatial Temporal (ST) Math. ST Math includes elements theorized to support student self-beliefs, including informative feedback and a self-pacing structure. Using a randomized control trial, we find that students who play ST Math have higher mathematics self-beliefs than their control counterparts, and that ST Math operates through self-beliefs to positively influence achievement. ST Math’s impact on student self-beliefs is strongest for those students who had lower mathematics achievement scores. 相似文献
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Alice F. Artzt Alan Sultan Frances R. Curcio Theresa Gurl 《Journal of Mathematics Teacher Education》2012,15(3):251-262
This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered pedagogical and assessment strategies. Examples show how students teach the class, complemented by excerpts from student journals containing students?? perceptions of their learning. Preliminary research indicates the effectiveness of this course for preparing future mathematics teachers. 相似文献
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Youjun Wang 《Science & Education》2009,18(5):631-640
In modern mathematical teaching, it has become increasingly emphasized that mathematical knowledge should be taught by problem-solving,
hands-on activities, and interactive learning experiences. Comparing the ideas of modern mathematical education with the development
of ancient Chinese mathematics, we find that the history of mathematics in ancient China is an abundant resource for materials
to demonstrate mathematics by hands-on manipulation. In this article I shall present two cases that embody this idea of a
hands-on approach in ancient Chinese mathematics, at the same time offering an opportunity to show how to utilize materials
from the history of Chinese math in modern mathematical education.
相似文献
| Youjun WangEmail: |
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陈翔 《深圳信息职业技术学院学报》2004,2(2):63-66
本文从数学认知活动中所具有的动态思维角度出发，围绕数学教学方式的完善、学生创新思维的培养以及提高学生数学学习信心等方面，阐述了在高职类院校的高等数学教学中体现数学动态思维所具有的积极作用，这将有利于帮助学生形成良好的数学思维品质。 相似文献
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高等数学开设数学实验的信息论分析 总被引：1，自引：0，他引：1
信息论是以数学的方法来研究广义的信息传输、提取和处理系统中一般规律的科学.本文从信源编码、信道编码和离散信源特点等方面,论述了在高等数学教学中开设适当的数学实验的必要性. 相似文献
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Geoff Wake 《Educational Studies in Mathematics》2014,86(2):271-290
This article summarises what we can learn from research into workplace practice and vocational preparation to inform the design of mathematics education curricula for learners in general education undertaking compulsory schooling. Key findings about workplace practices are identified and explicated through the report of a case study from research in which researchers, students, teachers and workers explored workplace and mathematical practices together. Further to this, issues of learning and personal development are considered and explored from a point of view that sees learning as practice (doing) and identity development (becoming). This leads to a proposal for principles that provide a strategic vision for curriculum design. A potential approach to tactical design that facilitates curriculum structuring is illustrated in the particular instance of understanding developing measures as a modelling activity. Overall, the exercise, whilst providing some insight into possible ways forward in curriculum development, also suggests areas that require further research and development. 相似文献
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Elizabeth Fennema 《Educational Studies in Mathematics》1979,10(4):389-401
Conclusions What then can be said that is known about sex-related differences in mathematics and factors related to such differences? Certainly, when both females and males study the same amount of mathematics, differences in learning mathematics are minimal and perhaps decreasing. Many fewer females elect to study mathematics and therein lies the problem. Variables which appear to contribute to this non-election are females' lesser confidence in their ability to learn mathematics and their belief that mathematics is not useful to them. In addition, differential teacher treatment of males and females is important. All variables appear to be directly related to the stereotyping of mathematics as a male domain.There is nothing inherent (Sherman [30]) which keeps females from learning mathematics at the same level as do males. Intervention programs can and must be designed and implemented within schools which will increase females' participation in mathematics. Such programs should include male students, female students and their teachers. Only when such intervention programs become effective can true equity in mathematics education be accomplished. 相似文献
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Roberta Mura 《Educational Studies in Mathematics》1995,28(4):385-399
This article presents data about views of mathematics collected through a national survey of teachers of mathematics education in Canadian universities. The results are compared to those obtained through a similar survey of university teachers of mathematical sciences carried out earlier. 相似文献