发展性计算障碍——脑与认知科学研究的新成果及其对教育的启示

发展性计算障碍是儿童认知发展过程中较常发生的一类特异性障碍,对学生的学习和心理行为发展均有重要影响。依据认知模块化的观点,发展性计算障碍可以分为不同类型,目前主要有按阶段与按表征两种分法。近年来,有关研究在脑与认知科学领域取得较大进展,有关结果表明发展性计算障碍不仅与脑的单侧化有关,同时也与特定脑区在代谢与结构上的异常有关。目前在我国,研究者与广大教育实践工作者尚未对此引起足够的重视,有关研究尚未充分开展,为此,我国应加快在该方面的科学研究、干预与教育培养工作。     

Emerging Trends in Mathematics Education for People with Down Syndrome: Current Research and Future Directions

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.     

Subitisation in Number Tasks in Children with Down Syndrome

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.     

The New ‘Functional Mathematics’ for Learners with Down Syndrome: Numeracy for a Digital World

ABSTRACT

This paper explores the challenge of determining the mathematics curriculum for students with Down syndrome in our digital age where the tools of mathematics including electronic calculators and smartphone applications are readily available. Aspects once considered essential for ‘functional mathematics’ such as written calculation, using cash and telling time can be undertaken with easily accessible devices. Deeper concepts such as generalising through algebra, making decisions about money, and engaging in mathematical problem solving and applications are now a possibility. This paper explores the challenge through the theoretical perspectives of Educational Quality of Life and Numeracy Development, presenting five principles for mathematics curriculum planning. The possibility exists of using year level appropriate mathematics curriculum to build lifelong numeracy – ‘functional’ mathematics for a new age.     

The Effectiveness of Teaching Geometry to Enhance Mathematical Understanding in Children with Down Syndrome

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.     

Discriminating Quantity: New Points for Teaching Children with Down Syndrome About Number?

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.     

Fine Motor Control is Related to Cognitive Control in Adolescents with Down Syndrome

The connection between human cognitive development and motor functioning has been systematically examined in many typical and atypical populations; however, only a few studies focus on people with Down syndrome (DS). Twelve adolescents with DS participated and their cognitive control, measured by the Corsi-Block tapping test (e.g., visual working memory), the Auditory Memory span test (e.g., verbal working memory) and the Tower of London test (e.g., cognitive planning), and motor control, measured by the Purdue Pegboard (e.g., fine motor control), were measured in this study. Results indicate that if people with DS have better performance in fine manual dexterity, they will have better performance in cognitive planning and verbal working memory abilities. The co-activation hypothesis of the prefrontal area and the cerebellum may support this positive relationship. Hence, it is suggested people with DS will obtain benefits in cognitive control by participating in further motor intervention.     

Is sensitivity to rhyme a developmental precursor to sensitivity to phoneme?: Evidence from individuals with Down syndrome

This study investigated sensitivity to rhymeand phoneme among readers and nonreaders with Down syndrome (DS) and normally developingchildren. Three tasks were administered toevaluate sensitivity to rhyme and phoneme: arhyme detection task, an initial phonemedetection task, and a middle phoneme detectiontask. Results for the normally developingchildren replicated the results of previousstudies suggesting that the ability to detectrhyme is a developmental precursor of theability to detect phonemes. Although all taskswere very easy for the children who had alreadystarted to read, the nonreaders found the rhymedetection task significantly easier than eitherthe initial or the middle phoneme detectiontask. On the other hand, there was scarcelyany indication that the individuals with DSfound the rhyme detection task easier thaneither one of the phoneme detection tasks.While all tasks were very difficult for thenonreaders with DS, the DS individuals who hadalready started to read found the rhymedetection task significantly more difficultthan both the initial and the middle phonemedetection tasks.     

Enhancing Phonological Awareness and Letter Knowledge in Preschool Children with Down Syndrome

This study investigated the effectiveness of a phonological awareness intervention for 4‐year‐old children with Down syndrome. Seven children with Down syndrome who attended an early intervention centre participated in the intervention. Their performance on measures of phonological awareness (initial phoneme identity), letter name and sound knowledge, and print concepts pre‐intervention and post‐intervention, was compared with that of a randomly selected group of age‐matched peers with typical development. The intervention involved print referencing techniques whereby the children’s parents were instructed to bring the children’s attention to targeted letters and sounds within words and to draw their attention to the initial phonemes in words during daily shared book reading activities. The intervention was presented for a 6‐week period. The results indicated a significant treatment effect on phonological awareness and letter knowledge for the children with Down syndrome. Additionally, above‐chance performance on the initial phoneme identity task was contingent on letter knowledge of the particular phoneme. Individual profiles of the children with Down syndrome pre‐intervention and post‐intervention are presented, and implications for the management of preschool children approaching the age of integration into mainstream primary schools are discussed.     

Teaching students with Down syndrome in regular classrooms in Ghana: views of secondary school mathematics teachers

ABSTRACT

The recent development of making secondary school education free in Ghana has raised concerns about the level of preparedness of teachers to teach students with diverse needs in one classroom. Significantly, mathematics is one of the core areas that the Ghanaian government has prioritised, and it has institutionalised mechanisms to encourage participation by many students. Accordingly, this qualitative study aimed to document the level of preparedness of mathematics teachers to support the teaching of students with Down syndrome in secondary school classrooms. Twenty-seven mathematics teachers from 14 schools, made up of 18 males and nine females, took part in the study. We found that participants were in favour of implementation of inclusive education. However, regarding the prospect of teaching students with Down syndrome, most of the participants thought that the regular secondary school classroom is not a suitable environment for these students to access education, especially due to a number of challenges. The need for the government to support schools with appropriate teaching materials and facilities is discussed extensively.     

Predictors of Handwriting in Adolescents and Adults with Down Syndrome

Handwriting is a skill that is constantly used in schools and in the workplace – two environments that are targeted in French legislation passed in 2005 on the integration of people with disabilities. The aim of the present study was to determine the predictive factors for handwriting speed and quality in adolescents and adults with Down syndrome (DS), looking at chronological and developmental age, pen grasp and perceptual-motor processing, which are known to contribute to both the speed and quality of handwriting. Results yielded by simple linear and curvilinear analyses revealed that handwriting speed and quality are related to chronological age, developmental age and perceptual-motor processing. Moreover, multiple linear regressions showed that handwriting quality can be predicted by fine motor coordination. We discuss the influence of different factors on handwriting acquisition in individuals with DS, and the implications in terms of intervention programmes.     

Defining Meaningful Literacy: Findings from a Socially-oriented Literacy Intervention for Adults with Developmental Disabilities

The current study is a qualitative analysis of the results of a literacy skills intervention with a group comprising of three individuals with Down syndrome and three individuals with other developmental disabilities. The intervention was developed to address the concern that individuals in this population are often only exposed to functional literacy experiences (i.e. those building only literacy skills required for daily functioning and survival), at the expense of more enriched experiences that engage personal meaning. As a result, it included both reading and writing activities designed to invite personal investment in literacy experiences. In this vein, the data collected derives primarily from the participant’s own writing, and has been supplemented with other qualitative measures (e.g. parental questionnaires, participant focus group responses, field notes). The current article discusses the impact and implications of this intervention for future literacy interventions of this kind, in terms of the themes, which emerged from these data; with a particular emphasis on the participants’ own experiences.     

Cognitive and linguistic precursors to numeracy in kindergarten: Evidence from first and second language learners

The present study investigated the role of cognitive and linguistic precursors to early numeracy skills to examine the interrelations between the development of linguistic and numeracy skills. General intelligence, working memory, phonological awareness, grammatical ability, and early numeracy skills were assessed in 75 first (mean age 6.1) and 55 second language learners (mean age 6.2). The second language learners scored lower than the first language learners on both linguistic and early numeracy tasks. However, the same precursors accounted for the variation in the early numeracy of both groups as no structural differences were found between the two groups. A more elaborate model of the acquisition of early numeracy is presented indicating that in the earlier years of childhood the acquisition of early numeracy skills is highly related to linguistic skills.     

Children with Down Syndrome Sharing Past Personal Event Narratives with Their Teacher Aides: A Pilot Study

Personal narrative ability is crucial for social–emotional well-being and classroom participation. This study investigated the ability of 10 school-age participants with Down syndrome to share past personal experiences with their teacher aides in their school environment. To participate, children were required to speak in short sentences and be largely intelligible to unfamiliar listeners. Personal narratives were elicited using photo prompts, comprising a set of the child’s own photographs and a standard set of photographs and accompanying verbal prompts, utilising a clinical language sampling protocol. Personal narratives were analysed on quality, syntactic complexity, verbal fluency and intelligibility. Examiner behaviour was evaluated for measures of syntactic complexity, mean turn length in utterances and number of utterances. Results indicated significant difficulties in producing quality personal narratives in both photo conditions. Examiner behaviour was negatively correlated to the participants’ spoken language performance. Clinical implications are highlighted.     

Relationships between reading,phonological skills and language development in individuals with Down syndrome: A five year follow-up study

This article is based on language, memory andreading information gathered for a five yearfollow-up study of 30 children and adolescentswith Down syndrome, aged from 10 to 24 years atthe end of the study. At Time 1, 10individuals were classified as readers but byTime 2 this number had risen to 16. Readers significantly outperformed non-readerson tests of nonverbal ability, languagecomprehension and production, phonologicalmemory and phonological awarenesss. However,some of these differences could be accountedfor by readers' significantly lower hearingthresholds. Phonological memory and earlyletter knowledge at Time 1 were significantpredictors of reading scores for Time 2readers, after controlling for age, nonverbalability and corresponding Time 1 readingscores. There was no evidence that learning toread had a significant impact on later languagecomprehension, but early reading skills may besignificant predictors of MLU five years later,after controlling for age, nonverbal abilityand hearing.     

Verbal Fluency and Verbal Short-Term Memory in Adults with Down Syndrome and Unspecified Intellectual Disability

The purpose of this study was to examine verbal fluency and verbal short-term memory in 12 adults with Down syndrome (DS) and 12 adults with Intellectual Disability (ID) of unspecified origin, matched for receptive vocabulary and chronological age. Participants’ performance was assessed on two conditions of a verbal fluency test, namely, semantic and phonemic fluency. In addition to the total number of correct words produced, the use of clustering and switching strategies was also evaluated. In order to investigate the likely relations of verbal short-term memory with the test variables, a digit span task was administered. According to the results of the study, the two groups differed significantly on the average phonemic cluster size, with the ID group outperforming the DS group. Regarding the within-group comparisons, a relatively similar pattern of results was found for the two groups, indicating higher scores on all the measures involved in the semantic test than the phonemic one. The examination of the relation of verbal short-term memory with the verbal fluency test measures revealed that, in the DS group, only the total words produced in the semantic and the phonemic test and the number of phonemic switches were significantly associated with verbal short-term memory. Additionally, in both groups, word productivity in the semantic and the phonemic test was positively associated with the number of switches. The observed similarities and differences in the performance of the two groups, as well as the associations that emerged among the test variables in each group, are discussed.