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1.
This paper examines 6th grade children's local conceptual development and mathematization processes as they worked a comprehensive mathematical modeling problem (creating a consumer guide for deciding the best snack chip) over several class periods. The children and their teachers were participating in a 3-year longitudinal teaching experiment in which sequences of mathematical modeling problems were implemented from the 5th grade (10 years of age) though to the 7th grade. In contrast to traditional problem solving, mathematical modeling requires children to generate and develop their own mathematical ideas and processes, and to form systems of relationships that are generalizable and reusable. Reported here is a detailed analysis of the iterative cycles of development of one group of children as they worked the problem, followed by a summary of the mathematization processes displayed by all groups. Children's critical reflections on their models are also reported. The results show how children can independently develop constructs and processes through meaningful problem solving. Children's development included creating systems for operationally defining constructs; selecting, categorizing, and ranking factors; quantifying quantitative and qualitative data; and transforming quantities.  相似文献   

2.
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   

3.
This qualitative study examined the relationship between young deaf children's level of mathematics ability ("high" and "low," as defined by test score on the Test of Early Mathematics Ability-3) and opportunities available for the construction of early mathematics knowledge during a problem-solving task implemented by their parents. Findings indicate that the manner in which the mathematically based concepts (number/counting, quantity, time/sequence, and categorization) were incorporated into the activity was more meaningful for children who demonstrated high levels of mathematical ability. In addition, children who demonstrated high levels of mathematical ability experienced a more purposeful use of mediation during activity implementation; however, overall use of mediated learning experience was limited for children from both ability groups.  相似文献   

4.
The cognitive development of children with either early or late onset insulin-dependent diabetes mellitus (IDDM) was investigated with tasks measuring intellectual ability, memory, and academic progress. In addition, children's perceptions of their competence and parents' perspectives on family functioning and their children's behavior were compared. It was found that children with IDDM scored within the normal range on standardized measures of intelligence and academic performance but evidenced some school difficulties, as reflected in subscale performance as well as in their need of remedial education services. Further, evidence was found to suggest deficiencies in children's use of strategies to organize and recall information, particularly for those with early onset of disease. Children's perceived self-competencies and parents' reports of family functioning were strikingly similar across groups. However, parents of those children whose illness began prior to age 5 reported their children to have poor attention spans and difficulty completing tasks.  相似文献   

5.
This study examined how child and family factors affect individual differences in the language development of African American children between 18 and 30 months of age. Participants were 87 African American children, primarily from low-income families. Children's vocabulary and grammatical skills were assessed at 18, 24, and 30 months of age using the short form of the MacArthur Communicative Development Inventory (CDI), a standardized parent report tool. Standardized language tests were administered repeatedly between 1 and 3 years of age. Results showed that children's vocabulary and utterance length grew linearly over time between 18 and 30 months of age. Children from more stimulating and responsive homes were reported to have larger vocabularies, to use more irregular nouns and verbs, and to use longer utterances, in addition to having more rapid rates of acquisition of irregular forms and longer utterances over time. Girls used longer utterances than boys and more irregular forms. Girls also had larger vocabularies in a secondary analysis that eliminated children whose parent report of their vocabulary was substantially lower than children's scores on a standardized language test. There are indications that some parents may be under-reporting their children's early vocabulary and grammatical development, with a high proportion of the parents reporting their child's 30 month vocabulary and grammatical development as being at or below the 10th percentile according to the CDI norms.  相似文献   

6.
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   

7.
Based on principles of constructivism, an analysis is made of how practice in mathematical education might be reformed towards a professional practice. In addition to the widespread recommendations that mathematical teaching be based on interactive communication and that mathematical learning be active, we argue that conventional school mathematics be replaced by a constructivist school mathematics. A constructivist school mathematics is based on children's use of their schemes of action and operation in learning situations, and whatever accommodation the children make in these schemes as they use them. Through examples of our learning of the numerical schemes of five year old children we illustrate what we mean by a constructivist school mathematics. In our examples, we characterize the schemes of action and operation that we attribute to children as our interpretations of the children's activities. For this reason, we define a constructivist school mathematics to be the results of the observer's experiential abstractions in the context of interacting with children mathematically. A professional teacher is cast as one with the intellectual autonomy and power to produce a constructivist school mathematics, including the involved situations of learning and interactive mathematical communication.  相似文献   

8.
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   

9.
The impact of parental intervention on the quality of children's conflict behavior was examined using observational data from 40 English-speaking Canadian families with 2-and 4-year-old children. Children's behavior in the portions of fights that preceded their parents, interventions was compared to their behavior in fights in which there was no intervention. Also, children's behavior before parental intervention was contrasted with their behavior after intervention. It was found that parents intervened in the most intense fights between their children, fights in which the children displayed few de-escalating strategies. Parental intervention was associated with their children using fewer power strategies coupled with an increase in the use of more sophisticated negotiation moves. It was concluded that parental intervention in sibling conflict has beneficial effects in terms of the immediate quality of the children's fighting. Results were interpreted in light of contemporary models of socialization.  相似文献   

10.
Mathematics Achievement of Children in China and the United States   总被引：4，自引：0，他引：4  
First and fifth graders in Beijing and Chicago were given a battery of mathematics test. Whether tested with problems requiring solely computation or with ones requiring application of knowledge about mathematics, American children's performance was consistently inferior to that of Chinese children. Interviews with American children suggested that they like mathematics, believe they are doing well in mathematics, and do not perceive mathematics as a difficult subject. American children's poor performance appears to be attributable, in part, to low motivation for devoting more attention to mathematics. Low standards held by American parents for academic achievement and lower interest in teaching mathematics by American teachers appear to contribute to American children's poor performance.  相似文献   

11.
This study explored what kind of mathematics is needed in cabinetmakers’ everyday work and how problem solving is intertwined in it. The informants of the study were four Finnish cabinetmakers and the data consisted of workshop observations, interviews, photos, pictures and sketches made by the participants during the interviews. The data was analysed using different qualitative techniques. Even though the participants identified many areas of mathematics that could be used in their daily work, they used mathematics only if they were able to. The cabinetmakers’ different mathematical skills and knowledge were utilized to their skill limit. Cabinetmakers were found to constantly face problem solving situations along with the creative processes. Being able to use more advanced mathematics helped them to solve those problems more efficiently, without wasting time and materials. Based on the findings, the paper discusses the similarities and differences between problem solving and creative processes. It is suggested that the combination of craftsmanship, creativity, and efficient problem solving skills together with more than basic mathematical knowledge will help cabinetmakers in adapting and surviving in future unstable labour markets.  相似文献   

12.
This research was designed to examine the quality of children's aesthetic understanding of photographs, observe social interactions between parents and children in this aesthetic domain, and study whether qualitatively different dyadic interactions were associated with children's own aesthetic understanding. Parents and children (7-13 years; 40 dyads) individually completed measures of aesthetic understanding and jointly selected photographs for a souvenir scrapbook. Parents' artistic experience varied widely and was associated with their own performance on aesthetic understanding measures. Children's performance on the individual aesthetic tasks was related to age, but not to parents' art experience nor to the qualities of parent-child discussions of aesthetic concepts. Among both parents and children, artistic experience was associated with aesthetic preferences for photographs.  相似文献   

13.
In a 3-wave longitudinal study (with assessments 2 years apart) involving 186 early adolescents (M ages of approximately 9.3, 11.4, and 13.4), the hypothesis that parental warmth/positive expressivity predicts children's effortful control (EC) (a temperamental characteristic contributing to emotion regulation) 2 years later, which in turn predicts low levels of externalizing problems another 2 years later, was examined. The hypothesis that children's EC predicts parenting over time was also examined. Parents were observed interacting with their children; parents and teachers reported children's EC and externalizing problems; and children's persistence was assessed behaviorally. Children's EC mediated the relation between positive parenting and low levels of externalizing problems (whereas there was no evidence that children's EC predicted parenting).  相似文献   

14.
The increasing involvement of fathers in active parenthood raises questions concerning their parenting style. This study compared mothers and fathers in their writing interactions with their young children, exploring how parents' writing guidance related to children's early literacy. Mothers and fathers of 51 kindergarteners were videotaped separately at home while writing words with their child. Video analysis assessed measures of parental guidance specifically in the writing process and guidance measures that characterised teaching interactions in general. Children's early literacy was assessed. A family style of guidance emerged, where a parent's guidance resembled the spouse's. Moreover, both parents' guidance correlated significantly with children's early literacy. Still, mothers scored higher than fathers on both the writing and the more general guidance measures. The study suggests that encouraging both parents to write with their children, while supplying them with productive methods for guidance, can enhance children's literacy competencies.  相似文献   

15.
Parents and teachers reported that 6- to 8-year-old boys with developmental delays were less able to regulate their emotions than nondelayed boys matched on chronological age. Compared to nondelayed boys, boys with developmental delays had more social problems, which persisted and increased over a 3-year period. Children's ability to regulate their emotions explained significant variance in their social problems after controlling for their developmental status. In addition, emotion regulation partially mediated the relationship between children's developmental status and their social problems. These results suggest that emotion regulation plays a significant role in the social problems of boys with developmental delays. Furthermore, increasing the emotional competence of these children may facilitate their peer relationships and, ultimately, their school adjustment.  相似文献   

16.
Research Findings: Children from families of lower socioeconomic status (SES) enter kindergarten with less developed mathematical knowledge compared to children from middle SES families. This discrepancy is present at age 3 years and likely stems from differences in the home learning environment. This study reports SES-related differences both in the quantity and quality of mathematical support children receive in the home and in parent beliefs about early mathematical development and then compares both with children's performance on a comprehensive mathematics assessment. Participants included 90 children in their 1st year of preschool (2 years before kindergarten entry) and 88 children in their prekindergarten year (the year just prior to kindergarten entry). Both cohorts were balanced for SES and gender. The results suggested minimal SES-related variation in mathematical support received in either cohort but clear SES differences in parents’ beliefs about early mathematical development. Middle SES parents of children in both cohorts held higher expectations in terms of skills they expected children to possess by age 5, as well as a more accurate understanding of which skills are within the developmental range of most children by age 5. These differences accounted for unique variance in children's scores on the mathematics assessment. Practice or Policy: Implications are discussed.  相似文献   

17.
This study explored preschool teachers' beliefs about the appropriateness of early literacy and mathematics education. In all, 60 teachers of 4-year-olds, half working with low-socioeconomic status (SES) children at publicly funded preschools and the other half with middle-SES children at private preschools, were randomly assigned to read either the mathematics or the literacy versions of written vignettes describing issues related to teaching these subjects. Teachers were interviewed individually concerning the vignettes. Analyses showed that teachers of middle-SES children tended to support literacy and mathematics education that respects individual children and their preferences and to oppose classroom use of computers; overall they emphasized nonacademic areas. Teachers of low-SES children tended to focus on literacy and mathematics to prepare children for kindergarten and to support computer use; they showed concern about their students' underdeveloped readiness to learn, particularly literacy. Analyses comparing subject matter showed that for literacy, teachers preferred to gear a curriculum toward children's interests and to allow children to follow their interests in a literacy-rich classroom to promote social competence and positive dispositions toward literacy. For mathematics, teachers preferred to embed mathematics into everyday routines to promote the learning of key knowledge and skills throughout the day. These findings have significant implications for professional development.  相似文献   

18.
The link between mathematics anxiety and mathematical performance in young children remains inconclusive. The present study examined the longitudinal associations between mathematics anxiety and mathematical performance (calculation and story problem solving) in 246 Chinese children followed from second to third grade. Multiple regression analyses showed that mathematics anxiety made independent contributions to mathematical performance beyond non-verbal intelligence, working memory, number skills, general and test anxieties. However, mathematics anxiety does not affect all children and all kinds of mathematical performance equally. Mathematics anxiety has a more pronounced impact on mathematical problems that require more processing resources, as opposed to simple arithmetic problems and straightforward story problems and children who are higher in working memory are more vulnerable to its deleterious impacts.  相似文献   

19.
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   

20.
The development of social referencing   总被引：6，自引：0，他引：6  
The development of social referencing in 40 infants aged 6-9, 10-13, and 14-22 months was investigated in this study. Social referencing was defined broadly to include children's looks toward parents, their instrumental toy behaviors, affective expressions, and other behaviors toward parents. Children's looks at parents were more selective with increasing age, with older infants preferring to look directly at their parents' faces and younger infants showing no preference for looks to faces over looks elsewhere at the parent. Younger infants looked most often when their parents expressed positive affect, whereas older infants looked most often when parents displayed fearful reactions toward a stimulus. Evidence of a behavioral regulatory effect on instrumental toy behaviors was found only among infants 10-13 months of age. However, only infants older than 14 months of age inhibited touching the toy until after referencing the parent. On some measures these older infants showed a preference for toys associated with fearful messages. Affective expressions were in line with positive and negative behavior toward toys. No support for mood modification or simple imitation as explanations for the effects was found. Results indicated that the looking behavior of younger children may function differently than that of older children, and that social referencing involves a number of component skills that develop during the end of the first year and throughout the second year of life.  相似文献   

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