我国数学学习困难儿童的教育与干预研究回顾与展望

近年来,我国对数学学习困难儿童的表现、诊断、认知特点等有了较多的研究,这为数学学习困难儿童的干预策略提供了基础。通过对我国数学学习困难儿童的教育干预研究进行综述,发现主要有知觉加工干预策略、工作记忆干预策略、问题表征干预策略和元记忆干预策略,并在借鉴国外数学学习困难研究的基础上,对我国未来数学学习困难的研究提供若干建议。     

Characteristic behaviors of students with LD who have teacher-identified math weaknesses

Mathematics learning disabilities (LD) have gained increased attention over the last decade from both researchers and practitioners. A large percentage of students receiving learning disability services experience difficulties with mathematics, but little research has examined the specific mathematics behaviors of students with LD who have teacher-identified math weaknesses. This study examines the literature on mathematics LD and identifies specific behaviors from that body of research for the purpose of determining the extent to which those behaviors are observed in students with LD. Data are presented from observations of 391 special education professionals on 1724 students with LD, 870 of whom had identified math weaknesses and 854 of whom did not. Our results validate the existing literature and provide implications for teachers, researchers, and others interested in studying mathematics LD.     

Prevalence of combined reading and arithmetic disabilities

This study assesses the prevalence of combined reading and arithmetic disabilities in 799 Dutch schoolchildren using st dardized school achievement tests. Scores of arithmetic, word recognition, reading comprehension, and spelling of child in fourth and fifth grade were used. The main interest involved the co-occurrence of word recognition and arithmetic d abilities because of their possible relationship. The authors find a percentage of 7.6 for combined reading and arithme disabilities. Reading disabilities and arithmetic disabilities co-occurred more often than expected based on rates of the s arate conditions. Children with combined reading and arithmetic disabilities seem to have more generalized achievem difficulties than single-deficit groups. Different operationalizations for reading disabilities (spelling and reading comp hension measures instead of word recognition) led, in part, to selection of other children. This might imply that differ processes underlie the relationship between arithmetic and word recognition disabilities compared to the relationship arithmetic disabilities with difficulties in spelling and reading comprehension.     

Dynamic Assessment for Identification of Twice-Exceptional Learners Exhibiting Mathematical Giftedness and Specific Learning Disabilities

The purpose of this research was to investigate the utility of dynamic assessment (DA) in identifying a group of twice-exceptional students who exhibited mathematical giftedness and specific learning disabilities (MG/LDs). A quantitative method was applied by a multidisciplinary team to identify 30 students (16 girls and 14 boys) in the fifth and sixth grades, aged 10 years to 11 years 11 months, at three public elementary schools in Amman, Jordan. The findings of the dynamic mathematics assessment showed (a) a high variance in performance between the pre- and posttests and (b) a lack of relation with conventional static assessment (e.g., mathematics achievement tests and the arithmetic subtest in the Wechsler Intelligence Scale for Children, Jordanian version). DA was found to be beneficial for elementary school boys and girls and to affect their mathematics achievement to the same extent. No group differences were observed between low and high achievers in their learning potential as revealed by their performance on DA.     

Teaching impulsive children with arithmetic deficits in special education: a self‐instructional training program

Abstract

Impulsivity is an important and co‐determining factor in the arising of learning difficulties. Impulsive children make many mistakes in arithmetic because of inattention and because they don't use the selfcontrol necessary to correct possible mistakes. In this investigation we examine whether a self‐instructional training program, applied in the teaching of arithmetic, has influences on the impulsivity (measured with help of the MFFT) of pupils who have a quick reaction time and who make many errors. The study involved 52 pupils selected from schools providing special education to children with learning disabilities and educable mentally retarded children. Sixteen of them could be categorized as impulsive children.

The effectiveness of the training program is statistically investigated by means of t‐tests for correlated samples. The results show that training with a self‐instruction strategy can be effectively employed in teaching addition and substraction to educable mentally retarded and learning disabled children with arithmetic deficits. Besides, the impulsive children show after the training a more reflective cognitive style when compared to their cognitive style before the training was started.     

Mathematical disabilities: Reflections on cognitive,neuropsychological, and genetic components

The collection of articles in this special issue and related studies over the past decade provides a fine example of the substantial progress that has been made in our understanding and remediation of mathematical learning disabilities and difficulties since 1993 (Geary, 1993). The originally proposed procedural and retrieval deficits have been supported and a number sense deficit has been identified. There is evidence for visuospatial contributions to some aspects of mathematical learning, but identification of a core visuospatial deficit underlying some forms of mathematical learning disabilities and difficulties has been elusive. The contributions of working memory to the development and expression of these deficits is more nuanced than I originally proposed as are the brain systems supporting mathematical learning. Although much has been learned about children's difficulties in learning mathematics, but there is just as much and likely more than remains to be discovered.     

融入通用学习设计理念：学习障碍APP的研究与实践

学习障碍在特殊学生中十分常见,目前虽无治愈方法,却可通过辅助技术在教学中的运用降低其影响。具有辅助技术功能的教育APP为学习障碍学生提供了多样化的参与、表征和表达方式,这正好与通用学习设计的理念相契合,有助于他们在融合班级中获得平等的受教育机会。这些学习障碍相关APP可划分为文字转语音、语音识别、单词预测、文字处理、计划与组织、数学运算等6种类型。一方面,作为能力补偿工具和学习支持工具,学习障碍相关APP能够在阅读、写作和数学学习中为学习障碍学生提供多元化、可参与的学习环境;另一方面,作为一种新型的教学工具,学习障碍相关APP也可能给学习障碍学生带来诸如注意力分散、学习情绪消极等负面影响。因此,其作用机制和在教学中的有效性仍有待明确。未来我国在学习障碍相关APP的研究与实践方面还需做到:推进通用学习设计理念在学习障碍学生教育中的应用与实践,为其学习提供适宜的环境和支持;完善特殊教育辅助技术相关法律和政策,确保各类特殊学生能够获得更专业的支持;加强学习障碍相关APP的开发与研究,使其能够更有效地应用于现实教学情景;建立教育APP的评价体系和支持系统,提升学习障碍相关APP的应用效果。     

民族地区初中生数学学习信念的现状调查与策略研究

民族地区初中生数学学习信念与学习成绩成正相关;不同数学学习信念组与学习成绩存在显著性差异,不同民族、不同性别学生的数学学习信念没有显著性差异.根据研究结果,对初中数学教学提出了具体建议.     

小学数学教学中的表现性评价及其应用

构建科学合理的评价方式,通过评价更好地了解学生的学习,并以评价改进教学,成为近来教育教学中非常值得关注的话题。表现性评价运用于小学数学教学中,能更好地了解学生的数学理解水平并有效改进教学。以“两位数减一位数退位减法”为例,制定了算理理解的水平框架并设计了表现性任务,对学生的算理理解水平和学习过程进行了测评。最后,合理应用表现性评价框架及测评,有针对性地进行了教学设计,有效促进了学生对算理的理解水平。     

Do children with mathematics learning disability in Hong Kong perceive word problems differently?

The current study aimed at identifying the difficulties experienced by children with mathematics learning disability (MLD) in the problem representation phase of arithmetic word problem solving using a novel problem types identification task. An MLD group (n = 66) and a typically achieving control group (n = 139) were recruited for an assessment on problem type identification as well as some domain-general and mathematics-related cognitive abilities. Results from ANCOVA showed that the MLD group scored significantly lower than the typically achieving control group on this assessment, after controlling for the effect of cognitive correlates, reading achievement and arithmetic performance. Furthermore, this assessment significantly predicted MLD membership even after taking children's arithmetic competency into account. The current study confirmed the difficulties in problem representation of arithmetic word problems experienced by students with MLD and provided evidence for the need to introduce schema instructions in mathematics classes.     

Variables related to the decision of young adults with learning disabilities to participate in postsecondary education

This article examines the relationship between specific factors and the decision to participate in postsecondary education by young adults with learning disabilities. Data concerning 539 subjects with learning disabilities were included in this study. T test and chi square indicated that involvement in extracurricular activities while in high school, use of community resources, intelligence quotient, and reading and mathematics grade equivalent scores were important factors that differentiated between subjects choosing to participate or not to participate in postsecondary education during the year after high school. Implications and recommendations for secondary school curriculum are discussed.     

Researching research: mathematics education in the Political

We discuss contemporary theories in mathematics education in order to do research on research. Our strategy consists of analysing discursively and ideologically recent key publications addressing the role of theory in mathematics education research. We examine how the field fabricates its object of research by deploying Foucault’s notion of bio-politics—mainly to address the object “learning”—and ?i?ek’s ideology critique—to address the object “mathematics”. These theories, which have already been used in the field to research teaching and learning, have a great potential to contribute to a reflexivity of research on its discourses and effects. Furthermore, they enable us to present a clear distinction between what has been called the sociopolitical turn in mathematics education research and what we call a positioning of mathematics education (research) practices in the Political.     

Prospective teachers navigating intersecting communities of practice: early school placement

An issue of particular concern in mathematics teacher education is the relationship between theory and practice, and the nature of university–school partnerships. We report here on results from a research project answering the call for a more systematic understanding of the practice learning context. The study focuses on the new Norwegian elementary teacher education programme and highlights the difficulties involved in connecting theory and practice and how prospective teachers may be supported in this respect. Focus group interviews involving 51 first-year prospective teachers and 25 teacher–mentors investigated early school placements, specifically prospective teachers’ positions in the classroom as teachers of mathematics, and the ways in which the mentoring relationship supported their developing role. Taking a communities of practice perspective, we found that the idea of movement across intersecting and sometimes conflicting communities of practice is helpful in aiding our understanding of the difficulty of connecting theory and practice. Additionally, variations in mentoring styles and perceptions of prospective teachers’ mathematics and pedagogic knowledge competencies play a part in some prospective teachers’ difficulties in taking up a role as legitimate peripheral participant in the school. We conclude by considering ways in which prospective teachers might be better supported to cope with school placement.     

Social and Emotional Functioning of Children with Learning Disabilities: Does Special Education Placement Make a Difference?

Children with learning disabilities in four types of special education settings were compared in terms of social acceptance, number of friends, quality of relationship with best friends, self‐concept, loneliness, depression, social skills, and problem behaviors. Two of the placements (In‐Class Support and Resource Room) were for children with mild to moderate learning disabilities and involved between 30 and 90 minutes of special education per school day. The other two placements (Inclusion Class and Self‐Contained Special Education Class) were designated for children with severe learning disabilities and involved at least a half‐day of special education. Children in the more inclusive placements had more positive social and emotional functioning. Children receiving In‐Class Support were more accepted by peers, had higher self‐perceptions of mathematics competence, and fewer problem behaviors than children receiving Resource Room Support. Children in Inclusion Classes had more satisfying relationships with their best school friends, were less lonely, and had fewer problem behaviors than children in Self‐Contained Special Education Classes.     

An examination of the reading performance of students with mild educational handicaps or learning disabilities

Reading performance is a primary concern in both regular and special education. Reading is also the dominant medium through which educators conduct lessons, or students acquire information in subjects such as science and mathematics. Reading performance can be measured in a variety of ways. The present study examined the performance of students with mild educational handicaps (n = 28) or learning disabilities (n = 38) on a combination of norm-referenced and curriculum-based assessment (CBA) approaches that used science content. Overall, there were no significant differences between the samples on measures of word recognition, but significant differences favoring students with learning disabilities did occur in comprehension.     

Developing mathematical proficiency in the Australian context: implications for students with learning difficulties

The teaching of mathematics in Australian schools has received considerable attention over the past decade. States and territories have designed and implemented new mathematics syllabi, and education sectors have supported teachers through sustained professional learning initiatives. Whereas the major focus of these initiatives has been on students constructing mathematical knowledge from a range of learning activities and quality instruction, the education of students with difficulties in learning mathematics has been given little direct attention. This analysis of current syllabus developments and professional learning initiatives highlights the risk of exposing students with learning difficulties to fragile program designs and classroom instruction. The research literature is also examined to propose ways in which these fragilities can be addressed.     

A Meta-Analysis of Single-Case Research on Mathematics Word Problem-Solving Interventions for English Learners with Learning Disabilities and Mathematics Difficulties

This single-case meta-analysis is the first to provide a quantitative synthesis of the published literature on mathematics word problem-solving intervention studies for English learners with learning disabilities and mathematics difficulties. A total of ten single-subject studies were included for analysis. The current study investigated the magnitude of the effect of mathematics interventions targeting the improvement of students’ mathematics word problem-solving performance, and analyzed variables that moderated this effect. Results indicate a moderate overall effect size of 0.81 (95% CI [0.71, 0.90]) on word problem-solving performance for English learners with learning disabilities and mathematics difficulties. Moderator variables such as the implementer of the interventions, instructional focus, and word problem-solving content significantly moderated the mathematics intervention effects.     

分析小学高段数学教学中学生口算能力的培养策略

口算能力是小学高段数学学习能力的有效体现。在教学过程中,教师要打破传统教学观念的束缚,提高学生对数学口算的兴趣,培养学生良好的口算习惯。本文以小学高段数学教学中培养学生口算能力为出发点,深度探究小学高段数学教学中培养学生口算能力的有效途径,给小学教师提供理论参考。     

The Old Man and the Sea: Navigating the Gulf between Special Educators and the Content Area Classroom

The special educator in the content area classroom often experiences an ill‐defined role, which can translate into marginalization within instructional settings. Indeed, most students with learning disabilities (LD) receive content area instruction from a general education teacher with the support of a special educator. However, the literacy demands of the respective content areas often present content specific challenges for students with language‐based disabilities and their teachers. To date, proposed content area literacy interventions have not addressed the specific language‐based needs of students with LD. In this article, we highlight the similarities among history, science, English language arts, and mathematics texts from a language perspective, and present strategies specifically targeting students’ background knowledge. We also provide recommendations to researchers and practitioners for improving content area learning.