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1.
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   

2.
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   

3.
In this article, we share the vernacular literacy practices of a sixth grade students in Mexico City. From a sociocultural, ethnographic perspective and based on the contributions of the sociolinguistics of mobility and funds of knowledge, we describe the experiences and knowledge that children bring with them from home and the community to school, to write and read texts on their own during class. The findings show how they appropriate literacy practices to provide meaning to their reading and writing through the relationship between school and everyday literacy and the continuum between their oralities and literacies. Children construct literacy according to their day-to-day experiences, in and out of the classroom, and embed their literacy practices within their funds of knowledge developed at home with their families. Based on these findings, we question the significance and quintessential role that has been attributed to the school in the teaching of reading and writing, as well as the prevalence of individualistic and rigid approaches to the teaching of reading and writing.  相似文献   

4.
My starting point in this paper is that there is a cultural gap between the mathematics that children do as part of their everyday experience and the mathematics that they learn at school; my thesis is that the computer has (perhaps uniquely) the potential to bridge this divide. The paper will examine the cultural impact-both actual and potential-of the computer on children's mathematical education; at the ways in which the introduction of the computer does and will changes the ambient space in which children learn mathematics.I begin with a brief discussion of the cultural context of mathematics learning and the relationship between informal, everyday mathematical activity, and formal, school mathematies. This perspective leads to a closer examination of what it means to do mathematics, and on the relationship of a technology to the mathematics embedded within a given culture. I discuss the issue of injecting meaning into mathematical activity, and then examine some ways in which the computer might offer a solution to this central problem. Next, I give some examples of the influence of the computer on the culture of the mathematics classroom. Finally, I suggest some of the outstanding issues of research and curriculum development which remain.This paper is based on substantially the same data as is discussed in an article inCultural Dynamics.  相似文献   

5.
The current reform movement in mathematics education urges teachers to support students as they make sense of mathematics, while also ensuring that they gain specific mathematical skills and knowledge. The tension between these two expectations gives rise to what we call the dilemma of telling: how to ensure that students come to certain mathematical understandings, without directly telling them what they need to know or do. Our study focused on how two middle school mathematics teachers who were incorporating many aspects of reform mathematics into their instruction responded to this dilemma. Data sources include classroom observations and videotapes of lessons over a three-year period. We found that both teachers devoted the majority of class time to student conversations, both small group and whole class; however, the teachers strategically entered the student-dominated conversations by “telling” to meet specific curricular goals.  相似文献   

6.
Conclusion The findings show that Thai schoolchildren interpret the causes of health and sickness using their cultural knowledge and commonsense knowledge as well as school knowledge learned in the classroom. The cultural and commonsense knowledge are remarkedly different from what they are taught. More importantly, when the children employ school knowledge, the explanations are still very much commonsense interpretations. What do these findings imply then? They suggest that despite lengthy training in the classroom, the influence of the culture in which the children are growing up and their everyday experiences play an important role in their learning process. The basis of their understanding of the causes of health and sickness still seems to be in cultural and commonsense knowledge.  相似文献   

7.
Research Findings: Little is known about how parents approach preschoolers' mathematics learning and how this aligns with early mathematics education research and policy. This study examined these questions by contrasting parents' approaches to early mathematics and language and by exploring key themes in parents' talk about mathematics learning and education. Consistent with current research and policy, parents reported helping preschoolers learn mathematics and attempting to connect this learning to children's interests and everyday experiences. However, parents admitted to lacking goals for and knowledge about early mathematics. In addition, compared to language, parents reported that mathematics was taught less often at home, should be emphasized less in preschools, was less interesting to preschoolers, required more direct instruction, and was less of a personal interest and strength. Practice or Policy: Parent interventions could capitalize on parents' beliefs and practices by providing parents with concrete examples of what mathematics preschoolers learn through daily activities, how to maximize children's mathematics interests, and what the similarities are between early mathematics and language. These efforts will also need to help parents overcome their mathematics anxieties and show parents why early mathematics education is important. Similar strategies could be used to help early childhood teachers improve their mathematics practice.  相似文献   

8.
严建 《教育教学论坛》2020,(11):330-331
小学数学相对于其他学科来说,学生学习起来具有一定的难度,很多学生在学习的过程中可能会因为对某些数学知识点不理解而对这门课程产生排斥感,而开展小学数学趣味性教学实践活动,不仅可以营造课堂学习的氛围,让学生可以在一个良好的环境下进行学习,而且还可以让学生切实地感受到学习数学知识的乐趣,让学生不再把学习数学知识当作一种负担。为此,教师应该重视趣味性教学,做好课堂教学的工作。  相似文献   

9.
Mathematics homework is an activity done by large numbers of students across the world. However, it is not without controversy, with concerns being raised about its academic value and whether parents have the appropriate resources to actively support or teach their children. In this article, we use the narratives of two 10-year-old girls to consider how emotional and mathematical trauma can arise from doing mathematics homework with family help. This is often the undiscussed outcome of homework interactions, but one that can have profound implications for relationships between children, their parents, the school and mathematics as a discipline. The way that the children described their and other participants’ actions in the narratives provided information about the children’s agency whilst doing school mathematics in the home. We discuss the opportunities and constraints on children doing homework as a consequence of the social and institutional relations that they operate within. The constraining influence of schooling over the opportunities provided within the home situations was the main determiner of the emotional and mathematical trauma experienced by the children.  相似文献   

10.
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   

11.
This article reports on an analysis of the process in which knowledge to be taught was transposed into knowledge actually taught, concerning a task including proportional relationships in an algebra setting in a grade 6 classroom. We identified affordances and constraints of the task by describing the mathematical praxeology of the two different types of knowledge exposed, in the task as such and in the activity of the classroom. Through the teacher’s explicit process of reasoning, modeling, revising, solving, and repeatedly explaining the task, we found that the transposition of knowledge was seriously affected by the contextualization of the task. Modeling word problems about everyday situations has its limitations and can, as in this case, make the problem unsolvable unless it is accepted as a “textbook task” disguised as real but adjusted to the norms of school mathematics. Such constraints may obscure mathematical ideas afforded by the task. We conclude that learning opportunities embedded in a task do not necessarily surface when a task is treated in a classroom setting.  相似文献   

12.
In this paper, we discuss issues in planning and conducting research into mathematics learning. We emphasize two central themes: (a) the learners mathematics (especially the issues and ideas, in given problem situations, that learners choose to think about and to present) and (b) the kinds of knowledge that learners may be building (including their ideas about what mathematics is, and how people do, learn, use, communicate and understand it). While the first theme is at least partly mathematical, the second interweaves cognition and epistemology. Anchored in student data from an extended classroom teaching experiment in the mathematics of change, we focus on key choices needed to build narratives to help researchers capture, in detail, how students engage with mathematics in extended problem explorations.  相似文献   

13.
This article presents the findings of two studies that were designed to improve young children's number knowledge through the use of mathematical games. The first study, with 5‐year‐old children (N = 55), involved parents coming into the classroom to play games with small groups of children. The second study, with 7‐year‐old children (N = 128), explored several ways of incorporating games into school mathematics programmes, including parents playing games with the children. Individual task‐based interviews were used to gather data on the children's number knowledge, and detailed observations were made of selected children's experiences during their normal mathematics lessons and while they were playing the mathematical games. The results showed that games appeared to be most effective as a way of enhancing children's learning when a sensitive adult was available to support and extend the children's learning as they played. The factors that appear to be important when involving parents in games sessions at school are discussed.  相似文献   

14.
Concern about children’s mathematics performance in Ireland and elsewhere has prompted a range of responses from researchers, policymakers, educators and the media. While policy-level responses in Ireland include revising curricula and implementing a numeracy strategy that calls for increased tuition hours, teachers have also drawn on a wide array of resources in mediating curriculum-based mathematical knowledge, concepts and skills for the children in their classes. In the classroom context, formative assessment tools can be of particular value. This paper explores the potential role for one such tool, a computer-based assessment (CBA), in supporting the teaching and learning of mathematics at primary level. That test requires children to respond to open-format items, and the study illustrates how traditional error-analysis techniques are combined with the affordances of CBAs to enable automated scoring of responses. Discussion focuses on the positive role that digitally mediated error-analysis approaches can play in helping teachers understand better and address the challenges being faced by children in relation to mathematics in the middle grades of primary school. Suggestions for further research are highlighted.  相似文献   

15.
Students’ judgments about “what counts” as mathematics in and out of school have important consequences for problem solving and transfer, yet our understanding of the source and nature of these judgments remains incomplete. Thirty-five sixth grade students participated in a study focused on what activities students judge as mathematical, and how they make their judgments. Students completed a photo sorting activity; took, viewed, and captioned their own photos of mathematics; viewed and commented on classmates’ photos; and participated in a small group discussion. Across multiple sources of data, findings showed that students attended to two major features of photos and activities when making judgments: surface cues present in the photos, such as numbers and money, and the possibility for mathematical action. Some students looked for the possibility of mathematics, while others asked if mathematics was necessary. Students also gave higher ratings to activities with which they had personal experience. The article concludes with possible implications for practice.  相似文献   

16.
This longitudinal research used a sociocultural perspective to examine planning competence in the everyday experiences of European American and Latino children from 7 to 9 years of age. Data on children's participation in planning their activities outside of school, parental expectations about children's planning competence, and children's planning in the classroom were collected yearly from Grades 2 to 4 from 140 children and their mothers, and the children's teachers. Results indicate that decision-making practices and parental expectations change with development and vary by ethnicity. Decision making at home was related to children's classroom planning; however, the nature of these relations changed over middle childhood. Results are discussed in terms of cultural and parental contributions to the development of planning skills.  相似文献   

17.
This article investigates how affluent students made sense of social justice issues that were embedded in mathematics learning activities. I present 2 case studies of such activities at the intermediate and secondary levels in 2 different schools. The analysis draws on video records and classroom artifacts and applies the theoretical framework of figured worlds to consider how students drew on their past experiences and on the structure of the classroom activities to understand the mathematics and the social justice issues. The analysis demonstrates how the 1st activity provided a familiar figured world to support learning about issues of wealth distribution. In the 2nd activity, because of a lack of what are termed intermediary figured worlds, students were left to draw on only their own experiences and background knowledge, including stereotypes about poor neighborhoods.  相似文献   

18.
Research Findings: Little is known about how parents approach preschoolers' mathematics learning and how this aligns with early mathematics education research and policy. This study examined these questions by contrasting parents' approaches to early mathematics and language and by exploring key themes in parents' talk about mathematics learning and education. Consistent with current research and policy, parents reported helping preschoolers learn mathematics and attempting to connect this learning to children's interests and everyday experiences. However, parents admitted to lacking goals for and knowledge about early mathematics. In addition, compared to language, parents reported that mathematics was taught less often at home, should be emphasized less in preschools, was less interesting to preschoolers, required more direct instruction, and was less of a personal interest and strength. Practice or Policy: Parent interventions could capitalize on parents' beliefs and practices by providing parents with concrete examples of what mathematics preschoolers learn through daily activities, how to maximize children's mathematics interests, and what the similarities are between early mathematics and language. These efforts will also need to help parents overcome their mathematics anxieties and show parents why early mathematics education is important. Similar strategies could be used to help early childhood teachers improve their mathematics practice.  相似文献   

19.
Science includes more than just concepts and facts, but also encompasses scientific ways of thinking and reasoning. Students' cultural and linguistic backgrounds influence the knowledge they bring to the classroom, which impacts their degree of comfort with scientific practices. Consequently, the goal of this study was to investigate 5th grade students' views of explanation, argument, and evidence across three contexts—what scientists do, what happens in science classrooms, and what happens in everyday life. The study also focused on how students' abilities to engage in one practice, argumentation, changed over the school year. Multiple data sources were analyzed: pre‐ and post‐student interviews, videotapes of classroom instruction, and student writing. The results from the beginning of the school year suggest that students' views of explanation, argument, and evidence, varied across the three contexts with students most likely to respond “I don't know” when talking about their science classroom. Students had resources to draw from both in their everyday knowledge and knowledge of scientists, but were unclear how to use those resources in their science classroom. Students' understandings of explanation, argument, and evidence for scientists and for science class changed over the course of the school year, while their everyday meanings remained more constant. This suggests that instruction can support students in developing stronger understanding of these scientific practices, while still maintaining distinct understandings for their everyday lives. Finally, the students wrote stronger scientific arguments by the end of the school year in terms of the structure of an argument, though the accuracy, appropriateness, and sufficiency of the arguments varied depending on the specific learning or assessment task. This indicates that elementary students are able to write scientific arguments, yet they need support to apply this practice to new and more complex contexts and content areas. © 2011 Wiley Periodicals, Inc. J Res Sci Teach 48: 793–823, 2011  相似文献   

20.
This article reports on an ethnographic study of a 10-year-old's pursuit of school-based mathematics across school and home to suggest that participating in school-based mathematics is a cross-setting phenomenon in at least 2 ways. First, I illustrate how accomplishing school-based mathematics literally extends into the home and how individuals recruit resources from their histories of participation in alternative settings to accomplish the work of school-based mathematics. Second, I show how a youth's social identification in the classroom is shaped by his teacher's partial accounts of how learning is arranged for in the home. Approaching participation in school-based mathematics as a cross-setting phenomenon illustrates the complexity inherent in participating in schooling and raises questions about how to coordinate schooling across school and home settings.  相似文献   

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