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1.
This paper explores the nature and source of mathematics homework and teachers’ and students’ perspectives about the role of mathematics homework. The subjects of the study are three grade 8 mathematics teachers and 115 of their students. Data from field notes, teacher interviews and student questionnaire are analysed using qualitative methods. The findings show that all 3 teachers gave their students homework for instructional purposes to engage them in consolidating what they were taught in class as well as prepare them for upcoming tests and examinations. The homework only involved paper and pencil, was compulsory, homogenous for the whole class and meant for individual work. The main source of homework assignments was the textbook that the students used for the study of mathematics at school. ‘Practice makes perfect’ appeared to be the underlying belief of all 3 teachers when rationalising why they gave their students homework. From the perspective of the teachers, the role of homework was mainly to hone skills and comprehend concepts, extend their ‘seatwork into out of class time’ and cultivate a sense of responsibility. From the perspectives of the students, homework served 6 functions, namely improving/enhancing understanding of mathematics concepts, revising/practising the topic taught, improving problem-solving skills, preparing for test/examination, assessing understanding/learning from mistakes and extending mathematical knowledge.  相似文献   

2.
Previous studies suggest that parental involvement in children’s mathematics education is more established for parents who feel competent in mathematics. This qualitative study aimed to gain an in-depth insight into the experiences of parental involvement of two different groups of parents: those who are mathematicians and those who are not. Data were collected through narrative interviews with parents. A thematic analysis of the data revealed findings within two distinct but interrelated themes: parents’ mathematical experiences and parental involvement in their children’s mathematics education. The findings indicated that the two groups of participating parents differ in their own experiences of mathematics as well as in their parental involvement. The main difference in parental involvement was indicated in the area of children’s school mathematics, since mathematician parents, compared to non-mathematician parents, according to their narratives almost never get involved in their children’s mathematics homework. In addition, the data revealed a large gap in the coverage and content of the mathematical activities that parents in both groups provided to their children.  相似文献   

3.
There is a documented need for more opportunities for teachers to learn about students’ mathematical reasoning. This article reports on the experiences of a group of elementary and middle school mathematics teachers who participated as interns in an after-school, classroom-based research project on the development of mathematical ideas involving middle-grade students from an urban, low-income, minority community in the United States. For 1 year, the teachers observed the students working on well-defined mathematical investigations that provided a context for the students’ formation of particular mathematical ideas and different forms of reasoning in several mathematical content strands. The article describes insights into students’ mathematical reasoning that the teachers were able to gain from their observations of the students’ mathematical activity. The purpose is to show that teachers’ observations of students’ mathematical activity in research sessions on students’ development of mathematical ideas can provide opportunities for teachers to learn about students’ mathematical reasoning.  相似文献   

4.
In this article, we describe how using prediction during instruction can create learning opportunities to enhance the understanding and doing of mathematics. In doing so, we characterize the nature of the predictions students made and the levels of sophistication in students’ reasoning within a middle school algebra context. In this study, when linear and exponential functions were taught, prediction questions were posed at the launch of the lessons to reflect the mathematical ideas of each lesson. Students responded in writing along with supportive reasoning individually and then discussed their predictions and rationale. A total of 395 prediction responses were coded using a dual system: sophistication of reasoning, and the mechanism students appeared to utilize to formulate their prediction response. The results indicate that using prediction provoked students to connect among mathematical ideas that they learned. It was apparent that students also visualized mathematical ideas in the problem or the possible results of the problem. These results suggest that using prediction in fact provides learning opportunities for students to engage in mathematical sense making and reasoning, which promotes students’ understanding of the mathematics that they learn.  相似文献   

5.
While research demonstrates the importance of numeracy-related activities performed at home for young children's mathematics achievement, few studies involve observational studies of the processes which support children's mathematical learning at home. On this premise, this study reports evidence from numeracy-related interactions between parents and their four-year-old child during cookery sessions at home. Numeracy group parents who received instructions to incorporate additional mathematics into the activity provided significantly more numeracy guidance and also created more opportunities for their children to practice advanced mathematics. Comparison group parents provided enough numeracy guidance to complete the recipe but rarely provided extensive or advanced numeracy guidance. Children in the numeracy group generated significantly more correct math responses during the activity than comparison group children, though there were no significant differences on the post-test. The findings suggest the need to raise parental awareness of opportunities to support and encourage mathematics in activities at home.  相似文献   

6.
In this study, opportunities and challenges in parent–school partnerships in special needs schools were explored as the researchers’ noted that parents were usually reluctant to participate in curricular planning, learning support provisioning and the development of Individual Education Support Plans. Three focus group interviews were conducted with parents and data were analysed for recurrent themes within an interpretive framework. The challenges identified were related to family emotional stability, socio-economic constraints and the stigma of attending a special educational needs (SEN) school. Since parents’ experience trauma when placing their children in a SEN school, they turn towards the school for emotional support and guidance. However, parents felt disconnected from the school by inadequate teacher knowledge of family circumstances, insufficient opportunities for interaction amongst families and limited school communication to parents. These challenges led to misconceptions by parents and subsequent marginalizing of many families from the school, which further exacerbated their child’s learning problems. These challenges provided opportunities for SEN schools to develop guidelines for improving parent school partnerships.  相似文献   

7.
The first national education goal, school readiness, recognizes a need for young children to be better prepared for entry into elementary school. Many low-income children exhibit a pattern of underachievement in school mathematics. Research has revealed a developmental gap between low-income preschool children and their middle-class peers with respect to the extent of their numerical knowledge. Research has also found that many low-income children do not receive a broad base of support for mathematical development at home or in preschool. In each of two studies, we conducted a bi-generation (parent and child) mathematics intervention with Head Start families. The intervention was designed to enhance parental support for pre-kindergarten children's mathematical development. It was found that low-income parents were willing and able to support this area of their children's development once they were provided with the training to do so. The support that parents provided to their children through the intervention was clearly effective in enhancing the development of children's informal mathematical knowledge. Intervention children developed more extensive mathematical knowledge than a comparison group of low-income children. Thus, an important step toward achieving the school readiness goal can be taken by fostering low- income parents' support for young children's mathematical development.  相似文献   

8.
The study identified two dimensions of teacher self-efficacy and practices and five dimensions of students’ mathematics self-efficacy and sought to determine the extent to which teacher characteristics and practices can enhance secondary school students’ self-efficacy. Data were collected from 13,173 students in 193 teachers’ classrooms from 141 schools in the 10 districts of Lake Victoria Region of Kenya. Two-level hierarchical linear model revealed that teachers’ frequent use of mathematics homework, their level of interest and enjoyment of mathematics, as well as their ability and competence in teaching mathematics were found to play a key role in promoting students’ mathematics self-efficacy. Teachers’ ability and competence in teaching were also found to be effective in narrowing the gender gap in students’ self-confidence and competence in mathematics. The study recommends that teacher training colleges emphasize such teacher practices and values in order to enhance students’ mathematics self-efficacy, reduce their level of anxiety and fear of mathematics, and consequently, enhance their achievement in mathematics. Professional development opportunities should also be made available to in-service teachers to continually update their knowledge and skills and develop new strategies for teacher effectiveness.  相似文献   

9.
This article refers to a longitudinal case study of a primary school teacher over a period of 4 years. The focus is on the development of the teacher’s beliefs regarding mathematics teaching and learning from the last year of her university studies up to the third year of teaching mathematics in school. This development has been investigated within three different contexts, which have been distinguished in terms of the kind of support provided to this teacher. Two dominant beliefs emerged which have been traced through the period of the study from both the teacher’s reflections and actions. The first belief drew on the idea that what was considered an easy mathematical task by an adult could also be easily understood by children, while the second was that children learn mathematics through their actual involvement in a variety of teaching activities. The results indicate the way that teacher’s experiences from her university studies, actual classroom practice and inservice education interact and influence her beliefs and professional development.  相似文献   

10.
The first national education goal, school readiness, recognizes a need for young children to be better prepared for entry into elementary school. Many low-income children exhibit a pattern of underachievement in school mathematics. Research has revealed a developmental gap between low-income preschool children and their middle-class peers with respect to the extent of their numerical knowledge. Research has also found that many low-income children do not receive a broad base of support for mathematical development at home or in preschool. In each of two studies, we conducted a bi-generation (parent and child) mathematics intervention with Head Start families. The intervention was designed to enhance parental support for pre-kindergarten children's mathematical development. It was found that low-income parents were willing and able to support this area of their children's development once they were provided with the training to do so. The support that parents provided to their children through the intervention was clearly effective in enhancing the development of children's informal mathematical knowledge. Intervention children developed more extensive mathematical knowledge than a comparison group of low-income children. Thus, an important step toward achieving the school readiness goal can be taken by fostering low- income parents' support for young children's mathematical development.  相似文献   

11.
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   

12.
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   

13.
Parent and School Partnerships in Supporting Literacy and Numeracy   总被引:1,自引:0,他引:1  
This study examined home literacy and numeracy practices. It also focused on the roles of home and school in fostering Year 3 children's literacy and numeracy development in Australian schools. A parent survey of 95 parents from four schools, and focus interviews of parents, teachers and a school administrator within one school, provided the data for this study. Results showed that parents helped their children with literacy and numeracy at home. Most of this assistance is given with reading, some with writing and some with routine mathematics. Both parents and school personnel held the children's learning interests at heart and advocated for the formation of parent/school partnerships. Yet the discourses relating to school and home roles for assisting children's literacy and numeracy development provided contrasting views. Implications for school personnel are drawn from the results of this study.  相似文献   

14.
This paper reports on a national study that explored primary pupils’ attitudes towards and experiences of school science in the Republic of Ireland. The study focussed on collecting data from children and in doing so recognises the importance of children’s views as an essential part of reviewing curriculum implementation. The findings of this large-scale study are based on an analysis of data gathered from observations of 15 primary classrooms, 1,149 children’s questionnaires and 11 group interviews. In this paper the findings regarding the extent to which the children appear to be engaging in ‘deductive’ (didactic) and ‘inductive’ (inquiry-based) approaches in their science classes, and their attitudes towards school science are presented. Encouragingly, evidence from all parts of the study revealed that in general Irish children are very positive towards learning science in school and are being provided with some opportunities to engage in hands-on inquiry in science, commonly via group work. However, there were also indications that, for some pupils, hands-on science experiences were infrequent, and for a few did not appear to be happening at all. It was not especially evident that pupils were being afforded opportunities to lead their own scientific investigations. Teacher explanation, teacher demonstration, reading and writing featured frequently in pupils’ responses and while the pupils expressed mixed feelings about these methodologies, one thing was apparent: hands-on inquiry based approaches to science had far greater appeal to the children. The significance of the findings of this study are considered in light of the findings and recommendations from recent national and international reports on inquiry-based approaches in science education.  相似文献   

15.
Completing homework assignments is part of students' daily routine. Because this task is embedded within the home environment, parents play an important role in homework‐related attitudes and behaviors. Recent findings have demonstrated that effort and cognitive engagement while doing homework are better proximal predictors of positive outcomes than merely the time spent on it. The purpose of the current study was to examine whether parental goal emphasis explains children's motivational orientation toward homework and the perceived dissonance between home and school. Participants included parent–child dyads (N = 220), who completed surveys adapted from the Patterns of Adaptive Learning Scales. Path analysis using structural equation modeling indicated that parents’ emphasis on mastery goals was associated with children's mastery goals, which was in turn linked with higher achievement in school. Parents’ emphasis on performance goals was associated with children's performance goals and a higher sense of dissonance between home and school.  相似文献   

16.
The aim of this study is to assess the factors that are related to preschool children and their mothers on children’s’ intuitional mathematics abilities. Results of the study showed that there were significant differences in children’s intuitional mathematics abilities when children are given the opportunity to think intuitionally and to make estimations, and when their mothers believe in the importance of providing such opportunities in the home setting. Children who tended to think fast and to examine details of objects had significantly higher scores. Also, the working mothers aimed to give opportunities to their children more often than non-working mothers. The mothers whose children received preschool education tended to give more opportunities to their children to think intuitionally and to make estimations. When incorrect intuitional answers or estimations were made by children, lower-educated mothers tended to scold their children much more than higher educated mothers. Mothers having at least a university degree explained more often to the children why they were in error than did the less-educated mothers.  相似文献   

17.
The objective of this study was to examine gender differences in the relations between verbal, spatial, mathematics, and teacher–child mathematics interaction variables. Kindergarten children (N = 80) were videotaped playing games that require mathematical reasoning in the presence of their teachers. The children’s mathematics, spatial, and verbal skills and the teachers’ mathematical communication were assessed. No gender differences were found between the mathematical achievements of the boys and girls, or between their verbal and spatial skills. However, mathematics performance was related to boys’ spatial reasoning and to girls’ verbal skills, suggesting that they use different processes for solving mathematical problems. Furthermore, the boys’ levels of spatial and verbal skills were not found to be related, whereas they were significantly related for girls. The mathematical communication level provided in teacher–child interactions was found to be related to girls’ but not to boys’ mathematics performance, suggesting that boys may need other forms of mathematics communication and teaching.  相似文献   

18.
This study examines what a Korean heritage language school means to Korean immigrant families and their children, considering Korean immigrant mothers’ perspectives on American early schooling. As part of an ethnographic research project on Korean-American children’s peer culture in a heritage school, seven mothers, two guardians (grandmothers), and their young children were observed and interviewed during one academic year. The analysis showed that the heritage language school functions as a social and emotional support system, a buffer for reducing the detachment from parents, and a safety net for the Korean-American children’s challenging lives. The Korean immigrant mothers also showed that they felt burdened by different cultural views of their children’s behaviors, and described how their children were often considered problematic. The social and culture barriers caused by their immigrant status profoundly influenced their reasons for sending their children to a Korean heritage language school. This study suggests that teachers’ deep understanding of culturally different perspectives on children’s behaviors, along with systematic social and emotional support, can help these children attain psychological well-being.  相似文献   

19.
Young children’s emotional competence—regulation of emotional expressiveness and experience when necessary, and knowledge of their own and other’s emotions—is crucial for social and academic (i.e., school) success. Thus, it is important to understand the mechanisms of how young children develop emotional competence. Both parents and teachers are considered as important socializers of emotion, providing children experiences that promote or deter the development of emotional competence. However, compared to parents, early childhood teachers’ roles in socializing young children’s emotional competence have not been examined. Based on the findings from research on parental socialization of emotion, in this theoretical review we explore possible teacher roles in the development of young children’s emotional competence. Additionally, we suggest future research focusing on early childhood teacher socialization of emotion, and discuss theoretical and practical benefits of such research.  相似文献   

20.
This study described the kinds of early numeracy experiences that parents provide for their preschoolers, and determined the extent to which parental experiences and involvement in home activities enhanced preschoolers’ numeracy knowledge. Twenty-five parents completed a home activity questionnaire, a 2-week diary study, and a videotaped play session where they were asked to draw out numerical content. Preschoolers’ numeracy scores were predicted by: (1) parental reports of positive personal experiences with mathematics and (2) involvement in activities with complex (versus basic) numeracy goals. Parents felt that most activities had important or essential mathematical value, but focused on number sense goals. Finally, parents who reportedly spent more time on numeracy tasks received high quality interaction ratings in the videotaped sessions; but these variables did not predict numeracy scores. The findings are discussed in terms of educating parents about incorporating numeracy concepts.  相似文献   

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