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1.
Problem solving represents a salient deficit in students with mathematical learning difficulties (MLD) primarily caused by difficulties with informal and formal mathematical competencies. This study proposes a computerized intervention tool, the integrated dynamic representation (IDR), for enhancing the early learning of basic mathematical competencies and word problem solving skills. The goal was to compare and contrast the effects of IDR on the acquisition of informal and formal mathematical competencies in students with attention deficit/hyperactivity disorder (ADHD) and MLD. Participants were 216 students (6–9 years), who were classified into three groups: ADHD (n = 72), MLD (n = 82), ADHD and MLD (n = 62). They completed the Test of Early Mathematics Ability (Third Edition). The results showed that all three diagnosed groups improved significantly postintervention in all mathematical competencies, with the MLD‐only group benefiting the most at posttest.  相似文献   

2.
Many children have significant mathematical learning disabilities (MLD, or dyscalculia) despite adequate schooling. The current study hypothesizes that MLD partly results from a deficiency in the Approximate Number System (ANS) that supports nonverbal numerical representations across species and throughout development. In this study of 71 ninth graders, it is shown that students with MLD have significantly poorer ANS precision than students in all other mathematics achievement groups (low, typically, and high achieving), as measured by psychophysical assessments of ANS acuity (w) and of the mappings between ANS representations and number words (cv). This relation persists even when controlling for domain-general abilities. Furthermore, this ANS precision does not differentiate low-achieving from typically achieving students, suggesting an ANS deficit that is specific to MLD.  相似文献   

3.
This mixed‐methods study assessed the effects of Enhanced Anchored Instruction (EAI) on the math performance of adolescents with learning disabilities in math (MLD). A quasi‐experimental pretest–posttest control group design with switching replications was used to measure students' computation and problem‐solving skills on EAI compared to control conditions. Scores on the curriculum‐aligned and standardized measures showed improved problem‐solving skills but results were mixed for computation. To augment the numerical data, a qualitative inquiry captured day‐to‐day classroom activities. The findings showed that problem‐based curricula such as EAI have the potential for helping students with MLD develop deeper understandings of math concepts but that considerable effort is required to structure and teach these concepts in ways students with MLD understand.  相似文献   

4.
Knowledge and skill in multiplication were investigated for late elementary-grade students with mathematics learning disabilities (MLD), typically achieving age-matched peers, low-achieving age-matched peers, and ability-matched peers by examining multiple measures of computational skill, working memory, and conceptual knowledge. Poor multiplication fact mastery and calculation fluency and general working memory discriminated children with MLD from typically achieving age-matched peers. Furthermore, children with MLD were slower in executing backup procedures than typically achieving age-matched peers. The performance of children with MLD on multiple measures of multiplication skill and knowledge was most similar to that of ability-matched younger children. MLD may be due to difficulties in computational skills and working memory. Implications for the diagnosis and remediation of MLD are discussed.  相似文献   

5.
Mathematical learning difficulties and PASS cognitive processes   总被引：4，自引：0，他引：4  
This study examined the relationships between mathematical learning difficulties (MLD) and the planning, attention, simultaneous, successive (PASS) theory of cognitive processing. The Cognitive Assessment System (CAS) was used to measure the PASS processes for a group of 267 Dutch students with MLD who attended either general or special education. The results showed that students with MLD performed lower than their peers on all CAS scales and that the MLD group contained many students with cognitive weaknesses in planning or successive processing. Moreover, students who had specific difficulties with the acquisition of basic math facts, the automatization of such facts, or word-problem solving were found to have distinct PASS cognitive profiles. In order to investigate the relationships between cognitive abilities and improvement in the mastery of basic math facts and problem solving, 165 of the students with MLD were given a special multiplication intervention. It appeared that the effectiveness of this particular intervention did not differ across the groups of students with specific cognitive weaknesses.  相似文献   

6.
Abstract

In this study, the question was addressed which instructional conditions are required to teach students how they themselves can initiate and perform learning activities aimed at conceptual change. The CONTACT‐2 strategy (a computer‐assisted instructional strategy for promoting conceptual change in the domain of basic physical geography) served as starting point for the design of several training procedures aimed at enhancing self‐regulated learning. With the first experimental condition, strategic support was gradually withdrawn ('faded') within each instructional step, while, with the second experimental condition, the number of steps was reduced as the training continued. The original CONTACT‐2 condition served as control condition. Subjects were 65 fifth‐ and sixth‐graders (primary education). Dependent variables concerned students’ abilities to initiate and perform learning activities aimed at conceptual change, the quality of their conceptions, and their learning performance. Results suggested that ‘fading’ can be a fruitful instructional approach to foster self‐regulated learning aimed at conceptual change, provided that the ‘fading’ procedure is tuned to the students’ actual level of self‐regulated learning: external control should not be withdrawn until students are able (and prepared) to initiate and perform the learning activities being required. When these conditions are met, designing effective training procedures aimed at ‘learning for conceptual change’ seems possible.  相似文献   

7.
The Common Core Standards require demonstration of conceptual knowledge of numbers, operations, and relations between mathematical concepts. Supplemental instruction should explicitly guide students with specific learning disabilities (SLD) in these skills. In this article, we illustrate implementation of the concrete‐representational‐abstract (CRA) sequence and the Strategic Instruction Model (SIM) for teaching multiplication with regrouping to students with SLD. CRA combined with SIM has been shown to be effective in teaching computation for students with SLD, specifically for developing conceptual understanding. Four elementary students with SLD participated in this study. The researchers used a multiple‐probe design to show a functional relation. Students demonstrated increases in computational fluency; skills were maintained and generalized.  相似文献   

8.
International Journal of Science and Mathematics Education - Fractions are an important mathematical concept for elementary students. However, students with mathematics learning disabilities (MLD)...  相似文献   

9.
This investigation analyzed the relation between cognitive functioning and mathematical achievement in 114 students in fourth, fifth, and sixth grades. Differences in cognitive performance were studied concurrently in three selected achievement groups: mathematical learning disability group (MLD), low achieving group (LA), and typically achieving group (TA). For this purpose, performance in verbal memory and in the PASS cognitive processes of planning, attention, and simultaneous and successive processing was assessed at the end of the academic course. Correlational analyses showed that phonological loop and successive and simultaneous processing were related to mathematical achievement at all three grades. Regression analysis revealed simultaneous processing as a cognitive predictor of mathematical performance, although phonological loop was also associated with higher achievement. Simultaneous and successive processing were the elements that differentiated the MLD group from the LA group. These results show that, of all the variables analyzed in this study, simultaneous processing was the best predictor of mathematical performance.  相似文献   

10.
The purpose of this study was to compare the effects of a conceptual change approach over traditional instruction on tenth‐grade students’ conceptual achievement in understanding chemical equilibrium. The study was conducted in two classes of the same teacher with participation of a total of 44 tenth‐grade students. In this study, a pre‐test/post‐test control group semi‐experimental design pattern was used. During teaching the topic of chemical equilibrium concepts in the chemistry curriculum, a conceptual change approach was applied in the experimental group whereas traditional instruction was followed in the control group. Data were analysed with an independent samples t‐test, and an analysis of covariance using the pre‐test scores as the covariate. The results showed that the conceptual change approach was statistically more effective than traditional instruction in terms of students’ conceptual understanding. After the six‐week intervention, interviews were conducted with 18 selected students in the study. In the interviews a prevailing alternative conception was detected beside many alternative conceptions. When they were asked to compare equilibrium constants of two different reactions they mostly responded to mean that ‘the bigger the mol number of the products, the bigger the equilibrium constant’ without considering what proportions the reactants were transformed into products in a reaction. Also, in this study a two‐tier multiple choice test was developed related to chemical equilibrium to detect students’ concepts and alternative concepts.  相似文献   

11.
The study sought out to extend our knowledge regarding the origin of mathematical learning disabilities (MLD) in children by testing different hypotheses in the same samples of children. Different aspects of cognitive functions and number processing were assessed in fifth- and sixth-graders (11–13 years old) with MLD and compared to controls. The MLD group displayed weaknesses with most aspects of number processing (e.g., subitizing, symbolic number comparison, number-line estimation) and two cognitive functions (e.g., visual–spatial working memory). These findings favor the defective approximate number system (ANS) hypothesis, but do not fit well with the access deficit hypothesis. Support is also provided for the defective object-tracking system (OTS) hypothesis, the domain general cognitive deficit hypothesis and to some extent the defective numerosity-coding hypothesis. The study suggests that MLD might be caused by multiple deficits and not a single core deficit.  相似文献   

12.
This study utilized discourse-based instruction as an alternative method of instruction that emphasizes the teaching of mathematics by actively engaging students in mathematical discourse practices. A quasi-experimental study was employed to determine the effectiveness of mathematical discourse-based instruction in enhancing eleventh-grade students’ conceptual and procedural understanding of probability and statistics. A researcher-constructed test instrument was used for data collection from the experimental and control groups. The data analysis performed using the Kruskal-Wallis test showed that the experimental group outperformed the control groups in terms of conceptual and procedural knowledge. Furthermore, the results suggest that discourse-based instruction when appropriately designed and implemented can increase students’ understanding of mathematical topics.  相似文献   

13.
探索干预对提升数学学习困难学生数学学业表现的有效性及其调节因素。通过系统检索文献获得纳入符合标准的30篇文献,应用CMA2.0软件进行元分析,并检验被试特征、干预方案、干预目标、干预方法的调节效应。随机效应模型表明数学干预对数困生数学表现的合并效应量Hedges’g为0.438(p<0.001),对数困生干预效果呈中等水平。数学干预对数困生数学学业表现的干预效果受到年级水平、鉴别标准、干预形式因素以及数学目标技能的影响,而干预主试、干预时长、干预方法对干预效果无显著调节作用。  相似文献   

14.
In a sample of 39 children with mathematical learning disabilities (MLD) and 106 typically developing controls belonging to three control groups of three different ages, we found that visual perception, motor skills and visual-motor integration explained a substantial proportion of the variance in either number fact retrieval or procedural calculation. Furthermore, children with MLD performed significantly worse on visual perception, motor skills and visual-motor integration in comparison with age-matched control children. A mild developmental delay in visual perception, visual-motor integration and (fine) motor coordination and a severe delay in motor skills were found in children with MLD. However, not all children with MLD have problems on these domains. They seem to be a heterogeneous group, not only with respect to their mathematical profile but also with respect to their visual perceptual, motor and visual-motor integration skills. Diagnostic implications are discussed.  相似文献   

15.
This study reports an adaptive digital learning project, Scientific Concept Construction and Reconstruction (SCCR), and examines its effects on 108 8th grade students' scientific reasoning and conceptual change through mixed methods. A one‐group pre‐, post‐, and retention quasi‐experimental design was used in the study. All students received tests for Atomic Achievement, Scientific Reasoning, and Atomic Dependent Reasoning before, 1 week after, and 8 weeks after learning. A total of 18 students, six from each class, were each interviewed for 1 hour before, immediately after, and 2 months after learning. A flow map was used to provide a sequential representation of the flow of students' scientific narrative elicited from the interviews, and to further analyze the level of scientific reasoning and conceptual change. Results show students' concepts of atoms, scientific reasoning, and conceptual change made progress, which is consistent with the interviewing results regarding the level of scientific reasoning and quantity of conceptual change. This study demonstrated that students' conceptual change and scientific reasoning could be improved through the SCCR learning project. Moreover, regression results indicated students' scientific reasoning contributed more to their conceptual change than to the concepts students held immediately after learning. It implies that scientific reasoning was pivotal for conceptual change and prompted students to make associations among new mental sets and existing hierarchical structure‐based memory. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 47: 91–119, 2010  相似文献   

16.
The human figure drawings of 18 children with mild learning difficulties (MLD) were compared with those of 18 children with the same chronological age (mean 10 years, 4 months) and those of 18 children with the same mental age (mean 6 years, 0 months). The MLD children's drawings were similar to those of the 6‐year‐olds in terms of the number of developmental items they displayed; both these groups scored significantly lower than the 10‐year‐olds. Teachers could easily distinguish the 10‐year‐olds’ figures, but not those drawn by the MLD children and the 6‐year‐olds; they routinely confused the two. These findings suggest that, although their development is slower, MLD children follow a normal rather than a deviant developmental pattern.  相似文献   

17.
The purpose of this study was to investigate the effects of the Common Knowledge Construction Model (CKCM) lesson sequence, an intervention based both in conceptual change theory and in Phenomenography, a subset of conceptual change theory. A mixed approach was used to investigate whether this model had a significant effect on 7th grade students' science achievement and conceptual change. The Excretion Unit Achievement Test (EUAT) indicated that students (N = 33) in the experimental group achieved significantly higher scores (p < 0.001) than students in the control group (N = 35) taught by traditional teaching methods. Qualitative analysis of students' pre‐ and post‐teaching conceptions of excretion revealed (1) the addition and deletion of ideas from pre‐ to post‐teaching; (2) the change in the number of students within categories of ideas; (3) the replacement of everyday language with scientific labels; and (4) the difference in the complexity of students' responses from pre‐ to post‐teaching. These findings contribute to the literature on teaching that incorporates students' conceptions and conceptual change. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 47: 25–46, 2010  相似文献   

18.
A longitudinal study was conducted on 82 children to investigate, firstly the numerical competence of young children and the predictive value of (pre)-numerical tests in kindergarten, and, secondly, whether children's knowledge of the numerical system and representation of the number size is related to their computation and logical knowledge and to their counting skills. In an additional cross-sectional study on 30 children with a clinical diagnosis of mathematical learning disability (MLD) of 8,5 years, age- and ability-matched with 2 × 30 children the same parameters of numerical competence were assessed. The longitudinal data showed individual differences in numerosity, as well as the relationship between a delay in arithmetics in grade l and problems on numerosity in kindergarten. In the cross-sectional results some evidence was found for the independence of numerical abilities in MLD-children. About 13% of them had still severe pre-numerical processing deficits (in number sequence production, cardinality skills and logical knowledge) in grade 3. About 67% had severe difficulties in executing calculation procedures and a lack of conceptual knowledge. A feature of 87% of the MLD-children was severe translation deficits, with a significantly worse knowledge of number words compared with the knowledge of Arab numerals. Finally a severe deficit in subitizing was found to be present in 33% of the MLD children. On a group level the processing deficits were linked to understanding numerosity, since the ability-matched younger children and the MLD-children had the same pre-numerical and numerical profile. Implications for the assessment of mathematical disabilities and the value of TEDI-MATH® as an instrument in this process are discussed.  相似文献   

19.
图式教学策略的实验研究   总被引：4，自引：0，他引：4  
对l13名高二年级的学生进行对比实验研究，剖析图式对概念学习的影响。研究结果表明：1．图式理论对概念学习具有普遍的指导作用；2．比起常规教学，图式教学更有利于学生学习概念，特别是数学概念的学习；3．教会学生构建图式是解决中、差生问题的有效途径。  相似文献   

20.
The aim of the present study was to address how to effectively predict mathematics learning disability (MLD). Specifically, we addressed whether cognitive data obtained during kindergarten can effectively predict which children will have MLD in third grade, whether an abbreviated test battery could be as effective as a standard psychoeducational assessment at predicting MLD, and whether the abbreviated battery corresponded to the literature on MLD characteristics. Participants were 226 children who enrolled in a 4‐year prospective longitudinal study during kindergarten. We administered measures of mathematics achievement, formal and informal mathematics ability, visual‐spatial reasoning, and rapid automatized naming and examined which test scores and test items from kindergarten best predicted MLD at grades 2 and 3. Statistical models using standardized scores from the entire test battery correctly classified ～80–83 percent of the participants as having, or not having, MLD. Regression models using scores from only individual test items were less predictive than models containing the standard scores, except for models using a specific subset of test items that dealt with reading numerals, number constancy, magnitude judgments of one‐digit numbers, or mental addition of one‐digit numbers. These models were as accurate in predicting MLD as was the model including the entire set of standard scores from the battery of tests examined. Our findings indicate that it is possible to effectively predict which kindergartners are at risk for MLD, and thus the findings have implications for early screening of MLD.  相似文献   

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