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1.
ABSTRACT

This paper briefly overviews my research in supporting children to learn number concepts by relating number words, research-based visual supports, and math symbols. I first outline my approach to helping children build relationships between the use of concrete materials and the building of abstract concepts. I then focus on two crucial early aspects of building meanings for numbers: (1) understanding break-apart partners such as 5=3+2 that support addition and subtraction with small numbers and children’s moving on to Level 2 counting on and algebraic problem representations, and (2) the use of visual five-groups in understanding numbers 1–1000 and in drawings to support multi-digit computations. The research-based learning path of visual-spatio supports is shown and discussed for each topic, including examples of children’s math drawings for representing word problems algebraically and for multi-digit computations. I have found math drawings to be a key visual support that helps children transition to working meaningfully with symbols and words alone. I close with a brief discussion of the difficulties children have with the number line. This overview can provide a framework within which future research on number learning by individuals with trisomy 21/Down syndrome can proceed.  相似文献   

2.
ABSTRACT

This paper presents results from the development of a sequence for teaching/learning number concepts for children with Down syndrome that is adapted to their cognitive characteristics and to certain traits of their executive functioning. The mathematical objective is to promote subitising during the initial number learning in order to develop cardinality, composition-decomposition and number facts. We outline activities with different materials and resources, supported by the use of augmentative communication. We present the results of a case study involving two children with Down syndrome (7 and 8 years of age) who followed the proposed intervention for one academic year. The results indicated a different tendency when using the subitising strategy in both children and also depended on the physical arrangement of the objects to be counted. The benefits found were the children’s flexibility in using subitising and counting in numerical activities and the spontaneous use of augmentative communication.  相似文献   

3.
ABSTRACT

It is widely known that people with Down syndrome have difficulties transitioning from a basic understanding of counting and cardinality to more advanced arithmetic skills. This is commonly addressed by resorting to the mechanical use of algorithms, which hinders the acquisition of mathematical concepts. For this reason some authors have recently proposed a shift in the focus of learning from arithmetic to more fertile fields, in terms of understanding. In this paper we claim geometry fits this profile, especially suited for initiating children with Down syndrome into mathematics. To support this we resort to historical, epistemological, and cognitive reasons: the work of Séguin and his intuition on the central role of geometry in the development of abstract thinking in the so-called idiot children, the ideas of René Thom about the role of continuum intuition in the emergence of conscious thinking, and finally the two strengths people with Down syndrome display: visual learning abilities and interest in abstract symbols. To support these ideas we present the main findings of qualitative research on elementary mathematics teaching to a group of seven children (3–8) with Down syndrome in Spain. The didactic method used, naturally enhance their naïve geometrical conceptions.  相似文献   

4.
ABSTRACT

The focus of much mathematics teaching has been on the acquisition of counting, an area where children with Down syndrome can experience particular difficulties. Research with typically developing children has highlighted how early awareness of quantity provides a strong platform for the acquisition of later mathematical skills and programmes of early intervention have been introduced. Many of these studies are embedded in the work and traditions of developmental and cognitive psychology and can be difficult to access. Consequently, this is an area that has been largely ignored in the curricula of children with Down syndrome. This paper seeks to make this literature more available. It systematically reviews previous research with children with Down Syndrome on these early foundations. It considers seemingly contradictory findings in the light of differences in tasks, their presentation and instructions, and the responses required, in order to draw conclusions and reflect on the implications for teaching and learning. Some of these propositions are in contrast to existing practices and call for further research to test their effectiveness.  相似文献   

5.
ABSTRACT

In September 2017, a group of researchers met for the first conference devoted to the singular purpose of exploring a neglected field – the learning of mathematics by individuals with Down syndrome. This special issue is a result of that first meeting and identifies three emerging trends in the mathematics education of learners with Down syndrome: the goals, content, and pedagogy. Education is central to the goal of improving an individual’s quality of life and only recently has the impact of mathematics been fully comprehended. Many researchers continue to explore the development of the concept of number and there is still much to learn. As a new development, we see that interest is now expanding to explore other areas of mathematics. We still have a long way to go to understand how best to open the doors of mathematics to all learners with Down syndrome. We conclude by offering six areas requiring immediate future research in the field of mathematics and Down syndrome.  相似文献   

6.
The performance of 25 children with Down syndrome on delay of gratification tasks was compared with that of a mental age-matched group of typically developing children. Delay tasks included both other- and self-imposed tasks. Children with Down syndrome were significantly less able to delay gratification than the comparison group on two of the three tasks. Receptive language was associated with delay on the self-imposed task for the typically developing group but not for children with Down syndrome. It is hypothesised that there may be a lag in the development of self-regulation that is greater than the lag between chronological and mental age for children with Down syndrome, with expressive language playing a role in this lag. The practice of using mental age as the method for matching groups of children with Down syndrome with typically developing children is called into question by the results of this study.  相似文献   

7.
Abstract

One student teacher's moral development process is uncovered, using a case study approach to capture the participant's internal processes and the constructed social context. The participant was in the first eight‐week placement of her semester‐long student teaching assignment, a kindergarten classroom in a rural public elementary school with a diverse student body. The participant believed that her professional moral responsibility was to “put the child first.” She believed this included protecting the child's dignity and autonomy, creating a close classroom community, establishing trust between teacher and child, fostering productive communication among all adults in the child's life, and safeguarding the child's health and safety. The participant maintained these priorities in her daily teaching practice and used them in her decision‐making process. However, the decisions that she was required to make during her early weeks of student teaching led to a modified understanding of her values. Democratic discourse and professional autonomy were associated with the process of moral development in this case. Theoretical and practical implications are described.  相似文献   

8.
The results of previous research suggest that while preschool children have a beginning understanding of disabilities that involve the use of adaptive equipment, they have little awareness of disabilities such as Down syndrome which have less overt distinguishing characteristics. In this study, videotaped segments from the children's television show, Sesame Street, were used to explore children's ideas about Down syndrome and physical disability. Participants included 41 preschool children. While a majority of participating children were aware that each child in the videotapes had some difficulties performing age-appropriate tasks, children had significantly fewer ideas about why the child with Down syndrome had this difficulty. Significantly more thought that the child with Down syndrome could do more "if he tried really hard" when compared with the child with a physical disability. These results are discussed in terms of children's developing understanding of disabilities and implications for using media to teach preschoolers about people with disabilities.  相似文献   

9.
The results of previous research suggest that while preschool children have a beginning understanding of disabilities that involve the use of adaptive equipment, they have little awareness of disabilities such as Down syndrome which have less overt distinguishing characteristics. In this study, videotaped segments from the children's television show, Sesame Street, were used to explore children's ideas about Down syndrome and physical disability. Participants included 41 preschool children. While a majority of participating children were aware that each child in the videotapes had some difficulties performing age-appropriate tasks, children had significantly fewer ideas about why the child with Down syndrome had this difficulty. Significantly more thought that the child with Down syndrome could do more “if he tried really hard” when compared with the child with a physical disability. These results are discussed in terms of children's developing understanding of disabilities and implications for using media to teach preschoolers about people with disabilities.  相似文献   

10.
Forty‐five families with a child with Down syndrome and 88 comparison families provided information about their children's behaviour problems and their involvement in household tasks. In addition, parental stress was measured using the Parenting domain of the Parenting Stress Index (Abidin, 1990). There were no differences between the siblings of a child with Down syndrome and comparison children on mothers’ or fathers’ reports of problem behaviour. Siblings of a child with Down syndrome also did not differ in their contribution to family tasks, however, for the brothers of a child with Down syndrome there were significant negative correlations between household tasks and behaviour problems on fathers’ report. Parents of a child with Down syndrome reported more stress than comparison parents and stress was related to reports of problem behaviour for some parent groups.  相似文献   

11.
A number of researchers have argued that young adults with Down syndrome could benefit from continued literacy education beyond the years of compulsory education. Specifically, research has shown that, contrary to myths related to plateaux of learning, cognitive development in individuals with Down syndrome continues into adolescence and beyond. Further, it is also claimed that the young adult years may be the optimal time to focus on literacy development. Based on this research and the ongoing work of the Down Syndrome Research Project (DSRP) a literacy program for young adults with Down syndrome was established at The University of Queensland in 1998 (see Moni & Jobling, 2000). LATCH-ON (Literacy and Technology Hands-On) provides a two year program of teaching and learning activities based on socio-cultural models of literacy in which the explicit teaching of reading, writing, speaking, listening and viewing is integrated with the development of technological literacies. Assessments of reading were undertaken using the Neale Analysis of Reading Ability-Revised (Neale, 1988) and Concepts About Print (Clay, 1979) prior to students entering the program and on completion of the two year course. This paper reports three years of data about the reading-related literacy learning of 17 young adults who have participated in the program. These findings are discussed in terms of the diverse nature of the students' needs, the variability of their reading skills, and issues for educators.  相似文献   

12.
Research Findings: Teachers and parents often use trade books to introduce or reinforce mathematics concepts. To date, an analysis of the early numeracy content of trade books has not been conducted. Consequently, this study evaluated the properties of numbers and counting within trade books. We coded 160 trade books targeted at establishing early numeracy skill in children to determine the numbers included; the representations of number presented; and how books used representations of number to inform children about numbers, including counting. The main findings included limited opportunity to learn the number 0 and numbers beyond 10 as well as limited exposure to multiple representations of number deemed necessary to build strong number understanding and counting skills. Practice or Policy: We discuss practical implications for the selection and use of trade books about number with young children.  相似文献   

13.
A systematic study was carried out to investigate the basic counting and number skills, and the strategies used in counting and number tasks of students with moderate intellectual disabilities at different age levels. Using Fuson's (1988, 1992) number–word model, students' understanding and use of number words were examined in four situations (sequence, counting, cardinal, and symbol). Thirty students with moderate intellectual disabilities (IQ of 36–54) aged between 7 and 18 years were interviewed individually and their counting skills and concepts of number assessed by various number tasks. Results showed a significant difference between the three age groups on all the number skills assessed. Specifically, the learning pattern for the sequence of number–words and the kinds of correspondence errors made were similar to those of students with normal intelligence; one-to-one correspondence and stable-order principles were used and the cardinal principle was understood. Recommendations were made concerning the education of students with moderate intellectual disabilities in aspects of numeracy.  相似文献   

14.
Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children’s difficulty with rational numbers in general. We evaluate this proposal by discussing evidence regarding whether decimals are in fact easier to understand than fractions and whether teaching decimals before fractions leads to superior learning. Our review indicates that decimals are not generally easier to understand than fractions, though they are easier on some tasks. Learners have similar difficulty in understanding fraction and decimal magnitudes, arithmetic, and density, as well as with converting from either notation to the other. There was too little research on knowledge of percentages to include them in the comparisons or to establish the ideal order of instruction of the three types of rational numbers. Although existing research is insufficient to determine the best sequence for teaching the three rational number formats, we recommend several types of research that could help in addressing the issue in the future.  相似文献   

15.
We investigated the influence of teacher feedback on the social acceptance of peers with intellectual disabilities and peers without disabilities. A computer task was administered to 601 students in grades 3 and 4. Twenty-six per cent of the students attend an inclusive school; the others are in regular schools without students with special educational needs. Participants are introduced to ‘new’ virtual classmates, one student with Down syndrome (DS), and one control student with no obvious disability. Additionally, teacher feedback and feedback about fun playing with the new classmates is given. Social acceptance is evaluated by asking if one would like to sit next to him/her. Both feedbacks showed a strong effect. The child with DS was less socially accepted than the child without disability. No difference regarding the social acceptance of the students with DS was found between students from inclusive and regular classes. Students from regular classes rate the social acceptance of the student without disabilities significantly higher than students from inclusive classrooms.  相似文献   

16.

The school-based task is firmly established in teacher education in the UK. In the study reported, primary student teachers carried out tasks exploring children's learning in science and were told to discuss the outcomes with their classteacher-mentors. The tasks and their university-based training followed a "constructivist" approach to learning science. The mentors' role in debriefing school-based tasks has been assumed to be one of "reflective practitioner" able to unpack issues of pedagogy with the student teacher. The research reported here shows that discussions often lacked depth or reflected a superficial or different understanding of constructivism by mentors that conflicted with the student teachers' aspirations. The implications of the research for future practice in teacher education and specifically for the training of mentors in science are discussed.  相似文献   

17.
Touchscreen devices are increasingly used in education and are a predominant tool for everyday knowledge search. An assumption about the nature of touchscreen devices is that users intuitively understand them, which improves access to knowledge. Using a framework that includes concepts from cognitive psychology, information studies, and communication theory we explored whether users' physical interactions on a touchscreen device have consequences for their conceptual understanding of content – in this case mathematics. In the present study, adults (n = 40) completed a number line estimation task on a tablet computer (on the line 1|--------|10, place a mark at 7) by either touching the screen in a singular location (tap) or by dragging their finger across the line to the desired location (drag). All participants then went on to use the drag gesture to complete two more tablet computer mathematics tasks assessing understanding of the continuous nature of numbers. Participants in the drag condition were more accurate on all three tasks, suggesting that the continuous nature of the gesture reinforced their continuous understanding of numbers. Gestures may influence understanding of content learned from a touchscreen.  相似文献   

18.
Abstract

This study explored the relationship between specific social tasks and student perceptions of a sense of community during online group work. A survey instrument was developed, piloted, and deployed to 125 students in six different online classes. Results revealed few significant relationships between each of the five social tasks examined and student perceptions of a sense of community during online group work; however, students reported that some social tasks were important. Students seemed to focus more on completing a task for a grade than seeing group projects as part of developing community to enhance learning. This might reflect a lack of understanding by the students of the importance of social tasks to successful group project completion.  相似文献   

19.
The foundations for more advanced mathematics involve a good sense of rational numbers. However, research in cognitive psychology and mathematics education has repeatedly shown that children and even adults struggle with understanding different aspects of rational numbers. One frequently raised explanation for these difficulties relates to the natural number bias, i.e., the tendency to inappropriately apply natural number properties to rational number tasks. This contribution reviews the four main areas where systematic errors due to the natural number bias can be found, i.e., their size, operations, representations and density. Next, we discuss the major theoretical frameworks from which rational number understanding is currently investigated. Finally, an overview of the various papers is provided.  相似文献   

20.
Research has shown that verbal short‐term memory span is shorter in individuals with Down syndrome than in typically developing individuals of equivalent mental age, but little attention has been given to variations within or across groups. Differences in the environment and in particular educational experiences may play a part in the relative ease or difficulty with which children remember verbal material. This article explores the performance of 26 Egyptian pupils with Down syndrome and 26 Egyptian typically developing children on two verbal short‐term memory tests: digit recall and non‐word repetition tasks. The findings of the study revealed that typically developing children showed superior performance on these tasks to that of pupils with Down syndrome, whose performance was both lower and revealed a narrower range of attainment. Comparisons with the performance of children with Down syndrome in this study suggested that not only did the children with Down syndrome perform more poorly than the typically developing children, their profile also appeared worse than the results of studies of children with a similar mental age with Down syndrome carried out in western countries. The results from this study suggested that, while deficits in verbal short‐term memory in Down syndrome may well be universal, it is important to recognise that performances may vary as a consequence of culture and educational experiences. The significance of these findings is explored with reference to approaches to education and how these are conceptualised in relation to children with disabilities.  相似文献   

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