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1.
This study aimed at clarifying the relative developmental influences of age, number‐sense and context on primary school children's ability to estimate measures. Children (6‐11 years) were first assessed on three aspects of number‐sense (mental computation, understanding of relative number magnitude and understanding of relations between numbers) and were then assessed on their estimation of length and area within each of two task contexts (a ‘story’ frame and a ‘textbook’ frame). While number‐sense was found to improve with age, estimation did not. However, an ability to use and perceive number relations, together with an understanding of the relative magnitudes of larger numbers, were found to influence children's ability to estimate area. Children of all ages were also found to estimate more accurately in the ‘textbook’ context than in the ‘story’ context. These findings are discussed with reference to the notion of estimation as a situated activity  相似文献   

2.
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   

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4.
The current study investigated the development of children's performance on tasks that have been suggested to underlie early mathematics skills, including measures of cardinality, ordinality, and intelligence. Eighty‐seven children were tested in their first (T1) and second (T2) school year (at ages 5 and 6). Children's performance on all tasks demonstrated good reliability and significantly improved with age. Correlational analyses revealed that performance on some mathematics‐related tasks were nonsignificantly correlated between T1 and T2 (number line and number comparison), showing that these skills are relatively unstable. Detailed analyses also indicated that the way children solve these tasks show qualitative changes over time. By contrast, children's performance on measures of intelligence and nonnumerical ordering abilities were strongly correlated between T1 and T2. Additionally, ordering skills also showed moderate to strong correlations with counting procedures both cross‐sectionally and longitudinally. These results suggest that, initially, mathematics skills strongly rely on nonmathematical abilities.  相似文献   

5.
Children show individual differences in their tendency to focus on the numerical aspects of their environment. These individual differences in ‘Spontaneous Focusing on Numerosity’ (SFON) have been shown to predict both current numerical skills and later mathematics success. Here we investigated possible factors which may explain the positive relationship between SFON and symbolic number development. Children aged 4–5 years (N = 130) completed a battery of tasks designed to assess SFON and a range of mathematical skills. Results showed that SFON was positively associated with children's symbolic numerical processing skills and their performance on a standardised test of arithmetic. Hierarchical regression analyses demonstrated that the relationship between SFON and symbolic mathematics achievement can be explained, in part, by individual differences in children's nonsymbolic numerical processing skills and their ability to map between nonsymbolic and symbolic representations of number.  相似文献   

6.
This account of a curriculum‐based parental involvement scheme, the IMPACT Project, will attempt to describe some of the early findings within a theoretical context. The IMPACT Project was started in 1985 as an attempt to mirror the very successful work in shared reading initiatives between family and school in the area of mathematics. The late 1970's and early 80's had seen the establishment of a substantial body of evidence, gleaned from both research and practice, of the efficacy of involving parents in their children's learning to read through a programme of regular reading at home and sustained dialogue between teacher and parent about the child's progress (Topping & Wolfendale, 1985, Hamilton & Griffiths, 1984). The mechanisms by which this dialogue was maintained usually included small ‘reading diaries’ completed by parents and children at home and, responsively, by the teacher in class. For many of us working in the area of mathematics at that time, it seemed likely that the gains in terms of children's performance in, and attitude to, reading through the simple expedient of involving their parents in a sustained programme of tasks done at home would be replicated were the model to be applied in mathematics. I was concerned that because most parents perceive mathematics as harder ‐ ‘a byword for bewilderment and boredom’ as one national British periodical described mathematics (Time Out Magazine, 1984) ‐perhaps the response rate would be lower than it was for the shared reading. This turned out to be entirely unfounded. In fact, the response rates on IMPACT prove to be on average substantially higher than those for the shared reading.  相似文献   

7.
This article reports on a small-scale investigation of how teachers organise goal-oriented learning in Swedish preschools. The revised Swedish curriculum (National Agency for Education 2011) highlights the need for children to develop their mathematics skills through activities that integrate play and learning. This study investigates how different types of activities contribute to children developing their understanding of the concepts ‘half’ and ‘double’. Three preschool teachers participated in a developmental project in which they conduct teaching in accordance with the Variation Theory of Learning. The pedagogical contexts they bring into being reveal important insights for early childhood education. The pedagogical context that can be realised in the planned activities limits or favours the learning process and the success of the theoretical aspirations for the session. This article discusses the idea of ‘teaching’ and how to facilitate conceptual development in a goal-oriented but child-centred practice. The main results show that play is central in early childhood education, and that problem-solving as a means for mathematics education needs to be problematised and used with sensitivity to the children's intentions and perspectives.  相似文献   

8.
The aim of this paper is to highlight and discuss advantages and constraints of different methods applied within the field of children's thinking studies, through the test of the repeated question hypothesis validity, using the conservation of liquid task. In our perspective, the Piagetian interview is an ecologically valid context for externalization and modification of children's thinking. We used an experimental procedure organized in standard and modified tasks, involving primary school children in Serbia. The results of quantitative and qualitative analyses show that the repeated question is not the unique cause of children's misleading in demonstrating to understand conservation. Other dimensions explain why children change their answers when they are tested by the two tasks we used, which offers an insight into the influence of research procedures on children's answers.  相似文献   

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In primary mathematics education the ability to approximate and estimate is considered to be a core skill and previous research has implicated the importance of maturational and contextual factors on estimating abilities. This experiment examines the influence of object size, dimensionality and prior context (i.e. a previous estimate judgement) on primary aged children's estimates (aged 8 to 11 years). Utilising a ‘volume’ task and following a pre‐test assessment of their mathematical skills, children were asked how many small cubes would fit into a larger box, varied in size and dimension (length, width and height). The procedure employed also permitted an examination of the role of a prior estimate on a current judgement. The results indicated that older children can take into account more than one factor bearing on an estimate, particularly with reference to a prior estimate judgement. Furthermore, rather than mathematical ability predicting estimating skill, successful estimators employ strategies which favour caution in the face on an unknown, yet recognisably important, variable or variables.  相似文献   

11.
This article discusses some findings from a small‐scale investigation of children's gendered beliefs and behaviours in a Korean kindergarten which was attempting to challenge gender stereotyping through the anti‐bias intervention of a ‘cooking curriculum’. A sample of 14 children, some with ‘working’ mothers and some with ‘housewife’ mothers, was observed for two months, and informally interviewed on several occasions. The children's mothers were also interviewed. The findings are situated in the context of the changing, but still traditional, culture of Korean society, as well as in the contexts of early childhood education and theories of gender acquisition. They confirm that, although children are highly likely to reproduce the beliefs current in their home environment, they are open to reconstructing these views when actively challenged to consider alternatives, either by the school curriculum or by engaging in debate with a researcher or practitioner. The nature of the ‘alternative’ views available may however be problematic.  相似文献   

12.
Children's developing reasoning skills are better understood within the context of their social and cultural lives. As part of a research–museum partnership, this article reports a study exploring science‐relevant conversations of 82 families, with children between 3 and 11 years, while visiting a children's museum exhibit about mammoth bones, and in a focused one‐on‐one exploration of a “mystery object.” Parents' use of a variety of types of science talk predicted children's conceptual engagement in the exhibit, but interestingly, different types of parent talk predicted children's engagement depending on the order of the two activities. The findings illustrate the importance of studying children's thinking in real‐world contexts and inform creation of effective real‐world science experiences for children and families.  相似文献   

13.
We report an investigation of the validity of teachers' ratings of children's progress in ‘phonics’ as a screener for dyslexia. Seventy‐three 6‐year‐olds from a whole school population were identified as ‘at risk’ of dyslexia according to teacher judgements of slow progression through phonic phases. Six months later, children's attainments in literacy and phonological skills were compared with those of their typically developing peers matched on age and gender. Teacher assessments of risk were related to individual differences in performance on a standardised test of reading ability. Teacher assessments overestimated ‘risk of dyslexia’, defined as below‐average reading performance. However, teacher judgements, supplemented by tests of phoneme awareness and rapid naming, allowed a sensitive and specific identification of children who subsequently experienced reading difficulties. These findings show teachers can identify risk of dyslexia; the accuracy of this process can be improved by administering two tests of phonological skills.  相似文献   

14.
Drawing on research that sought to explore the characteristics of ‘Possibility Thinking’ as central to creativity in young children's learning, this paper considers question‐posing and question‐responding as the driving features of ‘Possibility Thinking’ (PT). This qualitative study employed micro‐event analysis of peer and pupil–teacher interaction. Events were sampled from two early years settings in England, one a Reception classroom (4‐ to 5‐year olds) and the other a Year 2 classroom (6‐ to 7‐year olds). This article arises out of the second stage of an ongoing research programme (2004–2007) involving the children and practitioners in these settings. This phase considers the dimensions of question‐posing and the categories of question‐responding and their interrelationship within PT. Three dimensions of questioning were identified as characteristic of PT. These included: (i) question framing, reflecting the purpose inherent within questions for adults and children (including leading, service and follow‐through questions); (ii) question degree: manifestation of the degree of possibility inherent in children's questions (including possibility narrow, possibility moderate, possibility broad); (iii) question modality, manifestation of the modality inherent in children's questions (including verbal and non‐verbal forms). The fine‐grained data analysis offers insight into how children engage in PT to meet specific needs in responding to creative tasks and activities and reveals the crucial role that question‐posing and question‐responding play in creative learning. It also provides more detail about the nature of young children's thinking, made visible through question‐posing and responding in engaging playful contexts.  相似文献   

15.
This article draws on data from two recent research studies of children's language and literacy development in the context of their work in school‐based creative arts projects. Using observations of children (ages 3 to 11) and teachers at work, the article examines the ways in which the activities in such projects open up opportunities for children to talk with each other and with adults by generating a ‘workshop’ atmosphere. Children's authentic and wide‐ranging talk in creative arts projects encompasses personal, social, imaginary and real‐world themes which, we argue, is rare in other curriculum contexts. As schools are encouraged to develop ‘creative partnerships’ with artists and arts organisations, the article highlights the role of the teacher in observing and promoting these experiences as occasions for children's language development.  相似文献   

16.
Metacognition refers to knowledge about one's own cognition. The present study was designed to assess metacognitive skills that either precede or follow task engagement, rather than the processes that occur during a task. Specifically, we examined prediction and evaluation skills among children with (n= 17) or without (n= 179) mathematics learning disability (MLD), from grades 2 to 4. Children were asked to predict which of several math problems they could solve correctly; later, they were asked to solve those problems. They were asked to evaluate whether their solution to each of another set of problems was correct. Children's ability to evaluate their answers to math problems improved from grade 2 to grade 3, whereas there was no change over time in the children's ability to predict which problems they could solve correctly. Children with MLD were less accurate than children without MLD in evaluating both their correct and incorrect solutions, and they were less accurate at predicting which problems they could solve correctly. However, children with MLD were as accurate as their peers in correctly predicting that they could not solve specific math problems. The findings have implications for the usefulness of children's self‐review during mathematics problem solving.  相似文献   

17.
Julia Sutherland 《Literacy》2006,40(2):106-114
One hundred and eighty British secondary school pupils aged 11–12 and their six trainee teachers in five schools participated in an action research project, designed to improve the quality of children's group talk in English lessons, particularly their engagement in higher‐order thinking through ‘exploratory’ talk. The programme, supported by the Teacher Training Agency (TTA), now Training and Development Agency, was devised by a team of mentors and an Initial Teacher Educator from Sussex University. It aimed to develop the trainees' skills both in planning challenging tasks for, and sustaining effective group talk, using ‘ground rules’ and varied teacher discourse strategies. The data include qualitative comparative analysis of discourse audiotaped before and after the intervention, taken from 66 pupils. Findings indicate a clear improvement in the quality of talk, in terms of pupils' collaborative engagement in higher‐order thinking. Further evidence from observations and interviews with all participants suggests confirmation of the programme's effectiveness in improving trainees' and pupils' skills in, and understanding of how to use group talk to reason.  相似文献   

18.
Basic numerical skills provide an important foundation for the learning of mathematics. Thus, it is critical that researchers and educators have access to valid and reliable ways of assessing young children's numerical skills. The purpose of this study was to evaluate the concurrent, predictive, and incremental validity of a two-minute paper-and-pencil measure of children's symbolic (Arabic numerals) and non-symbolic (dot arrays) comparison skills. A sample of kindergarten children (Mage = 5.86, N = 439) were assessed on the measure along with a number line estimation task, a measure of arithmetic, and several control measures. Results indicated that performance on the symbolic comparison task explained unique variance in children's arithmetic performance in kindergarten. Longitudinal analyses demonstrated that both symbolic comparison and number line estimation in kindergarten were independent predictors of 1st grade mathematics achievement. However, only symbolic comparison remained a unique predictor once language skills and processing speed were taken into account. These results suggest that a two-minute paper-and-pencil measure of children's symbolic number comparison is a reliable predictor of children's early mathematics performance.  相似文献   

19.
Chris Bailey 《Literacy》2016,50(2):62-71
Recent work around the use of virtual world video games in educational contexts has conceptualised literacies as communal processes, whilst considering complex notions of collaboration through participants' multiplicity of presence in hybrid virtual / physical locations. However, further research is necessary in order to help us understand how the complex interactions afforded by such spaces influence ‐ and are influenced by ‐ children's social relationships. This article draws upon data from a year‐long ethnographic study, investigating a group of ten and eleven year old children's engagement with the video game ‘Minecraft’ as they collaborate to build a ‘virtual community’. With a particular focus on the children's improvised singing and use of song during the club, I examine how their creative practices ‐ drawing on a wide range of self‐selected resources, played out both in and out of the virtual world ‐ help to fundamentally shape the nature of the space around them. Furthermore, through examination of one particular performance, I demonstrate the importance of ensuring that such details are not written out of accounts of children interactions around technology, if we are to understand the true potential of such environments.  相似文献   

20.
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   

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