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1.
This paper focuses on the kinds of notations young children make for fractional numbers. The extant literature in the area of fractional numbers acknowledges children's difficulties in conceptualizing fractional numbers. Some of the research suggests possibly delaying an introduction to conventional notations for algorithms and fractions until children have developed a better understanding of fractional numbers (e.g., Hunting, 1987; Sáenz-Ludlow, 1994, 1995). Other research (e.g., Empson, 1999), however, acknowledges the interaction between conceptual understandings and the representations for those understandings. Following the latter line of thinking, this paper argues that children's notational competencies and conceptual understandings are intertwined, addressing the following research questions: (a) What kinds of notations do five and six-year-old children make for fractional numbers?; and (b) What can be learned about young children's learning of fractional numbers by analyzing the notations they make? This paper presents data from interviews carried out with twenty-four children in Kindergarten and first grade (five and six-year-old children), exploring the nuances of their notations and the meanings that they attach to fractions.  相似文献   

2.
Yujing Ni 《教育心理学》2000,20(2):139-152
This study investigated validity of scores derived from the measurement procedure involving number lines by assessing its unique contributions to performance differences in criterion measures of rational number knowledge and skills, including fraction computation, application and explanation. A total of 413 5th and 6th graders participated in the study. Children's part-whole knowledge was measured with items of regional area representation, measurement knowledge with items involving number lines as well as those of fraction-size comparisons. It was found that when part-whole knowledge was accounted for, measurement knowledge assessed with number line items had no or negligible association with all of the three criterion measures. In contrast, measurement knowledge assessed with fraction-size comparisons demonstrated excellent incremental predictability. The results indicate that scores derived from the number line test items are poor estimators of children's understanding of the measurement aspect of rational number.  相似文献   

3.
This paper explores the nature of the language used when teaching mathematics to young children. It proposes that an important part of the teaching of a mathematical concept is the introduction of specific terminology. Children may need to be taught new meanings for already familiar words. The timing of these introductions to new words or meanings is critical to their understanding of the concepts being taught. It will be argued that there are two aspects of the children's learning that need to be considered. First, their understanding of the concept being introduced, and secondly, their learning the appropriate word to describe that concept. By assessing children's understanding of new mathematical concepts through their own use of the terminology, the teacher can then negotiate new meanings with them through practical experiences, introducing new word meanings only when the concepts have been understood.  相似文献   

4.
Could problem solving be the object of teaching in early education? Could appropriate teaching interventions develop to scaffold children's efforts to solve problems? These were the central questions of this article. The sample consisted of 18 children attending public pre-school in Cyprus. The problem they were asked to solve was to find all solutions of the pentomino. The children's problem solving was supported by graphically representing their solutions on squared paper. The findings show that children responded positively to the problem and were successful in finding all solutions for the specific problem. The graphical representation of the solutions and the forms of teacher–children and children–children interactions played an important role in the positive outcome of the activity.  相似文献   

5.
When reasoning about rational numbers, people sometimes incorrectly apply principles or rules for natural numbers. Many factors affect whether participants display this natural number bias, including their age and experience, the affordances and constraints of the given task, and even the specific numbers in the given problem. In this paper, we argue that this variability can be conceptualized in terms of dynamic choices among problem-solving strategies. People's strategy choices vary as a function of their repertoire of available strategies and as a function of the specifics of the tasks, problems, and context. Further, we argue that the specific profiles of variability in strategy use that are observed in different participant groups can be conceptualized in terms of the strength and precision of the representations of numbers and operations that people in those groups possess. In our view, the natural number bias arises when people's representations of rational number magnitudes or rational number operations are not sufficiently strongly activated or sufficiently precise to guide performance on a specific task in a specific context. In these cases, participants' more highly activated or more precise representations for natural numbers may underlie and guide their performance. This account suggests that contexts and experiences (including instructional experiences) that help build, strengthen, and activate rational number representations should lead to improvements in performance.  相似文献   

6.
The adult lexicon links concepts and labels with related meanings (e.g., dog–cat). How do children's encounters with concepts versus labels contribute to semantic development? Three studies investigated semantic priming in 40 monolinguals and 32 bilinguals, who have similar experience with concepts but different experience with labels (i.e., monolinguals hear “dog,” bilinguals hear “dog” and “chien”). Similarities in performance across monolinguals and bilinguals at age 24 months, as well as across bilinguals’ two languages at age 30 months, support the position that encounters with concepts contribute more to early semantic development than encounters with labels. Findings also suggest that the effects of semantic priming are challenging to observe at 24 months but are strong in bilinguals by age 30 months.  相似文献   

7.
In this study we explored how dramatic enactments of scientific phenomena and concepts mediate children's learning of scientific meanings along material, social, and representational dimensions. These drama activities were part of two integrated science‐literacy units, Matter and Forest, which we developed and implemented in six urban primary‐school (grades 1st–3rd) classrooms. We examine and discuss the possibilities and challenges that arise as children and teachers engaged in scientific knowing through such experiences. We use Halliday's (1978. Language as social semiotic: The social interpretation of language and meaning. Baltimore, MD: University Park Press) three metafunctions of communicative activity—ideational, interpersonal, and textual—to map out the place of the multimodal drama genre in elementary urban school science classrooms of young children. As the children talked, moved, gestured, and positioned themselves in space, they constructed and shared meanings with their peers and their teachers as they enacted their roles. Through their bodies they negotiated ambiguity and re‐articulated understandings, thus marking this embodied meaning making as a powerful way to engage with science. Furthermore, children's whole bodies became central, explicit tools used to accomplish the goal of representing this imaginary scientific world, as their teachers helped them differentiate it from the real world of the model they were enacting. Their bodies operated on multiple mediated levels: as material objects that moved through space, as social objects that negotiated classroom relationships and rules, and as metaphorical entities that stood for water molecules in different states of matter or for plants, animals, or non‐living entities in a forest food web. Children simultaneously negotiated meanings across all of these levels, and in doing so, acted out improvisational drama as they thought and talked science. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 47: 302–325, 2010  相似文献   

8.
Orthographic learning is one of the steps needed to achieve reading fluency. There are different variables that could influence the formation of orthographic representations. The aim of this study was to investigate the role of the previous semantic and phonological knowledge on the formation of orthographic representations. We used a decrease of the length effect as the measure of orthographic learning. We made a reading aloud task that utilised new words with Spanish children from third grade under three different conditions: with prior semantic and phonological training, with prior phonological training and without training. Results showed that knowing the meaning and the phonological form of the words facilitated the formation of orthographic representations, as the length effect was significantly lower than in the other conditions, and it also improved the children's reading performance.  相似文献   

9.
Against the background of neuroimaging studies on how the brain processes numbers, there is now converging evidence that numerical magnitude representations are crucial for successful mathematics achievement. One major drawback of this research is that it mainly investigated mathematics performance as measured through general standardized achievement tests. We extended this research by investigating the association between numerical magnitude representations and children's strategy use during single‐digit arithmetic. Our findings reveal that children's symbolic but not nonsymbolic numerical magnitude processing skills are associated with individual differences in arithmetic. Children with better access to magnitude representations from symbolic digits retrieve more facts from their memory and are faster in executing fact retrieval as well as procedural strategies. These associations remain even when intellectual ability, digit naming, and general mathematics achievement are additionally controlled for. All this indicates that particularly the access to numerical meaning from Arabic symbols is key for children's arithmetic strategy development, which suggests that educators and remedial teachers should focus on connecting Arabic symbols to the quantities they represent.  相似文献   

10.
The relationship between linguistic experience and phonemic representations in spelling was investigated in two groups of Mandarin–English bilingual children (aged 5–6 years) who spoke mostly Mandarin-L1 (n = 23) or mostly English-L1 (n = 27) at home. A 60-item cloze task including high- and low-frequency words with word-initial and word-final target phonemes that are either common to Mandarin and English (/f/ and /p/), or found only in English (/v/ and /b/), was developed and administered to both groups. With performance for a neutral control phoneme /m/ matched, spelling accuracy for the common phonemes was equivalent but the Mandarin-L1 children's performance for /v/ and /b/ was significantly poorer than that of their English-L1 classmates in low-frequency words. For both groups, performance on word-final targets was poorer for English-only phonemes than common phonemes. If early literacy development depends on stored phonological representations of the first language, these findings have implications for language minority communities.  相似文献   

11.
There is debate about the abstractness of young children's self‐concepts—specifically, whether they include representations of (a) general traits and abilities and (b) the global self. Four studies (N = 176 children aged 4–7) suggested these representations are indeed part of early self‐concepts. Studies 1 and 2 reexamined prior evidence that young children cannot represent traits and abilities. The results suggested that children's seemingly immature judgments in previous studies were due to peculiarities of the task context not the inadequacy of children's self‐concepts. Similarly, Studies 3 and 4 revealed that, contrary to claims of immaturity in reasoning about the global self, young children update their global self‐evaluations in flexible, context‐sensitive ways. This evidence suggests continuity in the structure of self‐concepts across childhood.  相似文献   

12.
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   

13.
Learning about decimal fractions is difficult because it requires an extension of the number concept built on natural numbers. The aim of the present study was to investigate developmental changes in children's misconceptions in decimal fraction processing. A large sample of children from Grades 3 to 6 performed a numerical comparison task on different categories of pairs of decimal fractions. The success rate and the type of error they made varied with age and categories. We distinguished the impact of the value of the digits from the impact of the length of the fractional part on children's pattern of responses. Although both kinds of impact affected the success rate, the digit values had a stronger impact and were mastered later than the length. Our results also showed that a zero just after the decimal point was understood better and earlier than a zero at the end of the fractional part of a number. Cluster analysis was conducted to determine groups of children who answered similarly regarding the response type across the various categories of decimal fractions. To interpret the data the conceptual change framework was used.  相似文献   

14.
This article draws on an ethnographic research study of children's text making in the home, as well as interviews with visual artists in South Yorkshire, to explore the idea of affordance as cultural (Kress 1997; Kress and van Leeuwen 2001). The article draws on Kress and van Leeuwen's concept of the affordance of a mode, and argues that in the case of children's meaning making, affordance has to be seen as being shaped by culture. This means attending to children's cultural and physical spaces, their worlds, in order to trace back and understand meanings inside their texts. The article takes particular instances of practice and then traces back their meaning, in order to show how cultural meanings sediment into texts. The article argues that English teachers can use this lens of texts as traces of practice to make sense of the multimodal texts children produce in classrooms.  相似文献   

15.
"没有"比较句是一种特殊的否定差比句,其特殊性在于:结果项中的形容词一般为具有积极义倾向的性质形容词;全句的语义有时倾向比较主体,有时倾向比较客体;语义的比较类型呈阶梯型的三种;与"有"比较句在语义上具有不对称性。  相似文献   

16.
Learning about emotions is an important part of children's social and communicative development. How does children's emotion-related vocabulary emerge over development? How may emotion-related information in caregiver input support learning of emotion labels and other emotion-related words? This investigation examined language production and input among English-speaking toddlers (16–30 months) using two datasets: Wordbank (N = 5520; 36% female, 38% male, and 26% unknown gender; 1% Asian, 4% Black, 2% Hispanic, 40% White, 2% others, and 50% unknown ethnicity; collected in North America; dates of data collection unknown) and Child Language Data Exchange System (N = 587; 46% female, 44% male, 9% unknown gender, all unknown ethnicity; collected in North America and the UK; data collection dates, were available between 1962 and 2009). First, we show that toddlers develop the vocabulary to express increasingly wide ranges of emotional information during the first 2 years of life. Computational measures of word valence showed that emotion labels are embedded in a rich network of words with related valence. Second, we show that caregivers leverage these semantic connections in ways that may scaffold children's learning of emotion and mental state labels. This research suggests that young children use the dynamics of language input to construct emotion word meanings, and provides new techniques for defining the quality of infant-directed speech.  相似文献   

17.
The present study focuses on the development of two sub-concepts necessary for a complete mathematical understanding of rational numbers, a) representations of the magnitudes of rational numbers and b) the density of rational numbers. While difficulties with rational number concepts have been seen in students' of all ages, including educated adults, little is known about the developmental trajectories of the separate sub-concepts. We measured 10- to 12-year-old students' conceptual knowledge of rational numbers at three time points over a one-year period and estimated models of their conceptual knowledge using latent variable mixture models. Knowledge of magnitude representations is necessary, but not sufficient, for knowledge of density concepts. A Latent Transition Analysis indicated that few students displayed sustained understanding of rational numbers, particularly concepts of density. Results confirm difficulties with rational number conceptual change and suggest that latent variable mixture models can be useful in documenting these processes.  相似文献   

18.
<尔雅>是我国先秦时期的重要古籍,为训诂名物之书.它的以义训为主的释义方法开创了按意义分类编排的辞书体例,体现出模糊的整体词汇系统观.本文即以此为出发点,以<尔雅·释乐>为研究对象,借鉴现代语义场理论,试图分析<尔雅·释乐>的词义系统,并构建出其语义场结构,以便于人们更直观、更明晰地理解古词语的意义.  相似文献   

19.
Sixty-two second-, fourth-, and sixth-graders were asked to judge the temporal duration of objects and events when the objects were changed in height or subjected to decay, when an event was reversed, and when an event was given an affective dimension. Nonconservers of time were those who judged that these irrelevant transformations affected the temporal aspects of the objects or events. The shift from nonconservation to conservation of time occurred between the second and fourth grades for most problems. The results indicated that young (under eight or nine years) children's concept of time is surprisingly defective. The relation of these findings to other conservation concepts was discussed.  相似文献   

20.
The study drew on Bernstein's theory and Moscovici's theory of Social Representations to investigate how children in classrooms with different types of structuration developed social representation of the curriculum. Comparable case studies were carried out in schools chosen to reflect three types of pedagogy according to Bernstein's typology. Twelve classrooms took part and ethnographic investigations were employed to compile a typology of recognition and realisation rules to map the range and type of curriculum structuration in each. Children's representations of the curriculum were investigated through specially designed tasks. Findings showed that as children gained experience of schooling they constructed more elaborate social representations of the curriculum regardless of the pedagogic mode and that classroom structuration became a feature of the junior rather than the infant children's representations. Older children in classrooms with performance pedagogies had two classifications for recognising classroom culture, while those in classrooms with mixed and competence pedagogies did not.  相似文献   

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