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1.
This paper examines how the inclusion of everyday mathematics into classroom instruction can make mathematics more meaningful to students. The concept of mathematical meaningfulness is reviewed and then compared to the experiences of children learning about money at home and at school. The empirical study used interviews and observations to determine what activities Hawaiian children from preschool through second grade did with money at home, while shopping and during classroom lessons. The interview data are used to show what kinds of knowledge children derived from these experiences at different ages. This everyday knowledge is compared to what children were expected to learn about money in school. The data support the conclusion that certain kinds of differences between everyday and school mathematics can make the inclusion of everyday mathematical topics in classrooms problematic. The paper concludes with a discussion of how everyday mathematics can be more profitably included in the curriculum, with examples from several mathematics programs.  相似文献   

2.
数学文化是大学生文化素养的重要组成部分,如何在大学数学教学中融入数学文化尤为重要。微积分作为变量数学中的重要内容,讨论其中蕴含哪些数学文化以及怎样在其教学中渗透数学文化,不仅能帮助学生很好的领悟微积分的基本概念和思想方法,而且有助于培养学生科学、理性的思维方式和交流表达能力,提高整体文化素养。  相似文献   

3.
There is a common assumption that computers will change the conditions for mathematics teaching. In this article the author discusses how the computer as a change-agent may influence the conditions, methods and results in everyday mathematics teaching. The empirical material is collected through interviews with eighteen teachers in lower secondary school. The author has also participated in all computer-aided lessons given by two teachers during one year. That means 700 possible computer-aided lessons. Teaching of mathematics seems to have such a strong tradition that the computer as a change-agent is relatively weak. The fact is that the computer is assimilated into an old tradition of methods and contents. A great deal of the computer-aided lessons give attention to drilling pupils with different types of drill-program where they can learn mathematical procedures. In some lessons laborative work is pursued with the intention that the pupils computer-aided learn mathematical concepts.  相似文献   

4.
In recent years, proposals have been made to build mathematics teaching more closely on children's informal knowledge, i.e. on concepts and strategies formed in natural, everday settings. The article focuses on questions concerning this trend, more specifically on issues concerning how and in what sense children benefit from everyday common sense knowledge when they learn mathematics at school. Three empirical examples, collected within a field-based research project at the intermediate children, when using their everyday life experience, sometimes fail to make mathematical sense of a given task. Two factors which complicate the creation of links between common sense and mathematics are discussed: one that deals with the problem of using everyday life experience as a basis for abstracting mathematical ideas, and one which concerns the pupil's abilities to interpret an assigned task in a mathematically relevant way.  相似文献   

5.
This article examines STEM learning as a cultural process with a focus on non-dominant communities. Building on my work in funds of knowledge and mathematics education, I present three vignettes to raise some questions around connections between in-school and out-of-school mathematics. How do we define competence? How do task and environment affect engagement? What is the role of affect, language, and cognition in different settings? These vignettes serve to highlight the complexity of moving across different domains of STEM practice—everyday life, school, and STEM disciplines. Based on findings from occupational interviews I discuss characteristics of learning and engaging in everyday practices and propose several areas for further research, including the nature of everyday STEM practices, valorization of knowledge, language choice, and different forms of engagement.  相似文献   

6.
This article draws on data from a three‐year Australian Research Council‐funded study that examined the ways in which young children become numerate in the twenty‐first century. We were interested in the authentic problem‐solving contexts that we believe are required to create meaningful learning. This being so, our basic tenet was that such experiences should involve the use of information and communications technologies (ICT) where relevant, but not in tokenistic ways. This article highlights learning conditions in which young children can become numerate in contemporary times. We consider ‘academic’ or ‘school‐based’ mathematical tasks in the context of a Mathematical Tasks Continuum. This continuum was conceptualised to enable focused and detailed thinking about the scope and range of mathematical tasks that young children are able to engage within contemporary school contexts. The data from this study show that most of the tasks the children experienced in early years mathematics classes were unidimensional in their make up. That is, they focus on the acquisition of specific skills and then they are practiced in disembedded contexts. We suggest that the framework created in the form of the Mathematical Tasks Continuum can facilitate teachers’ thinking about the possible ways in which they could extend children’s academic work in primary school mathematics, so that the process of becoming numerate becomes more easily related to authentic activities that they are likely to experience in everyday life.  相似文献   

7.
The aim of this study was to examine what children learn spontaneously from each other in everyday activities within the preschool culture. It involves an interpretation and analysis of specific situations, which focus on the spontaneous learning that occurs in children's actions and communication . Everyday activities in preschool are associated with routines in situations like meals, circle time and play activities. In these situations children have opportunities to learn about rules, ways of acting, routines, codes and discursive practices; knowledge and skills which are often tacit but which children learn from each other through social practices.  相似文献   

8.
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   

9.
In this paper, we describe findings from a three-year evaluation of a well-developed mathematics professional development program that is commercially available on a wide scale. The professional development is designed to improve teachers' mathematical knowledge for teaching and to enable them to elicit more student thinking and reasoning during mathematics lessons. Specifically, it focused on helping teachers (a) learn more mathematics, (b) understand how children learn math, (c) use formative assessment to develop insight into what specific students know and do not know, and (d) develop effective classroom instructional strategies that enable student problem solving. Participants included 105 fourth- and fifth-grade teachers teaching in 19 low-income schools within a single district. Teachers were randomly assigned within schools either to a “business as usual” control group or to receive the professional development. The training consisted of a week-long summer institute and four to six in-service days during the school year. The training was run by full-time trained associates. We find some limited evidence of positive impacts on teachers' mathematical knowledge for teaching, but no effects on instructional practice or student outcomes.  相似文献   

10.
The goals of this study are to understandelementary school teachers' beliefs andpractices and to unveil factors that influencethe way teachers adapt mathematics reformrhetoric when trying to adopt it. In theresearch, I searched for beliefs beyondmathematics that influence teachers' decisionsand choices for teaching mathematics. Workingwith children from different socioeconomicbackgrounds, teachers interpret reform indifferent ways. Based on their concept of students' needs, teachers select which partsof the reform documents are appropriate fortheir students. While children from uppersocioeconomic backgrounds experience problemsolving, those from lower socioeconomicbackgrounds undergo rote learning. Because notall children have the opportunity to learn thesame quality mathematics, the emerging concernof this study is the issue of equity inmathematics teaching.  相似文献   

11.
There is a growing concern that governmental calls for parental involvement in children's school mathematics learning have not been underpinned by research. In this article the authors aim to offer a contribution to this debate. Links between children's home and school mathematical practices have been researched in sociocultural studies, but the origins of differences within the same cultural group are not well understood. The authors have explored the notion that parents' representations of school mathematics and associated practices at home may play a part in the development of these differences. This article reports an analysis of interviews with parents of 24 children of Pakistani and White origin enrolled in primary schools in England, including high and low achievers in school mathematics. The extent to which the parents represented their own school mathematics and their child's school mathematics as the ‘same’ or ‘different’ are examined. In addition, ways in which these representations influenced how they tried to support their children's learning of school mathematics are examined. The article concludes with reflections on the implications of the study for education policy.  相似文献   

12.
通过探求数学教育改革的方法,研讨数学的文化价值,展现数学的魅力,提出了数学教育文化观是文科专业学习数学的思想、精神和方法的良好途径,从欣赏数学之美的角度实践教学方法,使学生感悟数学文化。  相似文献   

13.
数学文化是指数学的思想、精神、语言、方法、观点以及它们的形成与发展,还包括数学在人类生活、科学技术、社会发展中的贡献和意义,以及与数学相关的人文活动。与纯粹的数学知识相比较,数学文化体现了人文性与科学性交融、开放性与包容性并存、民族性与统一性共生,以及价值理性与工具理性互推的特点。适合小学生学习的数学文化内容主要有数学知识的发展历史、数学家的成长故事、数学的游戏活动、数学的生活应用和学科应用。小学生学习数学文化有助于他们理解数学知识、掌握数学思想方法、提高数学思维水平、加强数学应用意识和培养数学精神。  相似文献   

14.
Do traditional, agrarian values put minority culture children at a disadvantage in North American schools? The available results are mixed. In this chapter we attempt to “unpack” some of the effects of traditional Latino family values on their children's early school adaptation and achievement. Our research suggests that agrarian-origin values, which differ from academic-occupational orientation of school personnel, do not necessarily work to the disadvantage of students. On the contrary, under certain conditions, these values may be complementary to those of the school and in fact serve to support educational adaptation and achievement. A key to our findings and analyses is the concept of educación beliefs among the parents in our sample. Not all strongly endorsed cultural beliefs are instantiated in ways that impact children's experiences and development. Some cultural beliefs lead to instantiation into everyday routines of families, while others seem to be readily available, expressed, and endorsed but not reliably acted on (D'Andrade & Strauss, 1992). Those beliefs that are instantiated into the daily routine are more likely to produce detectable effects on children's development, a conclusion supported by cross cultural evidence (Weisner, 1984).  相似文献   

15.
数学是学前儿童学习和入学准备的重要领域,也是学前教育质量监测的重要方面。MQI评估系统作为一种评估数学课堂教学质量的框架,体现了最新数学教育观念,突出了数学的学科特性和认知要求,强调儿童的主动参与和生成性的教学过程,可同时对教师的教和儿童的学进行评估。本研究使用MQI评估系统对我国幼儿园大班数学集体活动的质量进行考察,结果表明除数学意义建构和数学语言之外,数学丰富度领域各维度表现水平不高;教师对儿童行为进行处理和反馈的水平较低;大多数活动片段中不存在数学表达和语言上的错误及不严密性问题;儿童参与有意义的解释或者提问和推理较少,参与活动的认知要求不高。幼儿园大班数学集体活动质量受到集体教学中"教"与"学"的关系、教师对数学领域知识和儿童数学发展目标的认知、教师评价儿童数学思维的能力及师幼互动技巧、教师培训与考核的侧重点等因素的影响。我国学前教育界应重视数学教育活动的过程性质量,关注儿童数学学习过程性能力的发展,并应在借鉴MQI评估系统的基础上开发适合我国幼儿园数学教育实践的质量评估系统。  相似文献   

16.
中专学生来源于不同的地域,有的是刚出学校的大门,有的已经步入社会,无论是在心理层次上、还是基础知识上以及学习方式上都存在着一定的差异。在数语外三门基础课程中,数学基础最差,常常会出现学生不愿意学,教师没有激情教的尴尬局面。针对这种状况,经过多方面调研、思考,结合多年的教学经验,我个人认为:要全面分析现状,注重数学知识的衔接,灵活掌握教材,实施分层教学,从而达到素质教育的目的。  相似文献   

17.
数学课堂规范包括支配课堂的一般社会规范和围绕特定数学交互的数学规范.数学课堂规范的特征有:数学课堂规范是"预成性"和"生成性"统一的结果;学生数学观念影响数学课堂规范的发展;社会规范和数学课堂规范之间有差异;创生数学课堂规范就是创造一种信任和尊重的学习气氛.做数学的新规范和标准也需面对传统教学方式的桎梏,学生数学观的局限性,以及数学参与公正性等的挑战性和复杂性。  相似文献   

18.
Connecting students’ cultural and community mathematical practices to school mathematics is a critical issue in mathematics education. The goal of the study was to identify how teachers incorporate children’s cultural and out-of-school mathematics in instruction. Four related practices were identified, and three drew on children’s cultural or out-of-school experiences: (a) using these experiences as contexts for problems, (b) linking these experiences to school mathematics, and (c) identifying embedded mathematical practices prominent in these experiences. A fourth category, teacher initiated situated settings, focused on shared experiences using the classroom as a site of culture. Findings suggest that these practices represent varying levels of complexity and that use of this framework might support teachers in better relating students’ cultural and out-of-school experiences to mathematics.  相似文献   

19.
This study examined standard 6 and 8 (Standards 6 and 8 are the sixth and eighth years, respectively, of primary level schooling in Kenya.) students’ perceptions of how they use mathematics and science outside the classroom in an attempt to learn more about students’ everyday mathematics and science practice. The knowledge of students’ everyday mathematics and science practice may assist teachers in helping students be more powerful mathematically and scientifically both in doing mathematics and science in school and out of school. Thirty-six students at an urban school and a rural school in Kenya were interviewed before and after keeping a log for a week where they recorded their everyday mathematics and science usage. Through the interviews and log sheets, we found that the mathematics that these students perceived they used outside the classroom could be classified as 1 of the 6 activities that Bishop (Educ Stud Math 19:179–191, 1988) has called the 6 fundamental mathematical activities and was also connected to their perception of whether they learned mathematics outside school. Five categories of students’ perceptions of their out-of-school science usage emerged from the data, and we found that 4 of our codes coincided with 2 activities identified by Lederman & Lederman (Sci Child 43(2):53, 2005) as part of the nature of science and 2 of Bishop’s categories. We found that the science these students perceived that they used was connected to their views of what science is.  相似文献   

20.
This paper makes both a critical analysis of some popular cultural texts about mathematics and mathematicians, and explores the ways in which young people deploy the discourses produced in these texts. We argue that there are particular (and sometimes contradictory) meanings and discourses about mathematics that circulate in popular culture, that young people use these as resources in identity making as (non-)mathematicians, negotiating their meaning in ways that are not always predictable, and that their influence on young people is diffuse and nevertheless important. The paper discusses the discourses that prevail in some of the popular cultural images of mathematics and mathematicians that came up in our research. We show how mathematics is represented as a secret language, while mathematicians are often mad, mostly male and almost invariably white. We then explore how young people negotiate these discourses, positioning themselves in relation to mathematics. Here we draw attention to the fact that both those who continue with mathematics after it ceases to be compulsory and those who do not, deploy similar images of mathematics and mathematicians. What is different is how they respond to and negotiate these images.  相似文献   

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