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1.
The major purposes of this study were to assess the efficacy of tutoring to remediate 3rd-grade computational deficits and to explore whether remediation is differentially efficacious depending on whether students experience mathematics difficulty alone or concomitantly with reading difficulty. At 2 sites, 127 students were stratified on mathematics difficulty status and randomly assigned to 4 conditions: word recognition (control) tutoring or 1 of 3 computation tutoring conditions: fact retrieval, procedural computation and computational estimation, and combined (fact retrieval + procedural computation and computational estimation). Results revealed that fact retrieval tutoring enhanced fact retrieval skill, and procedural computation and computational estimation tutoring (whether in isolation or combined with fact retrieval tutoring) enhanced computational estimation skill. Remediation was not differentially efficacious as a function of students' mathematics difficulty status.  相似文献   

2.
Abstract

The major purposes of this study were to assess the efficacy of tutoring to remediate 3rd-grade computational deficits and to explore whether remediation is differentially efficacious depending on whether students experience mathematics difficulty alone or concomitantly with reading difficulty. At 2 sites, 127 students were stratified on mathematics difficulty status and randomly assigned to 4 conditions: word recognition (control) tutoring or 1 of 3 computation tutoring conditions: fact retrieval, procedural computation and computational estimation, and combined (fact retrieval + procedural computation and computational estimation). Results revealed that fact retrieval tutoring enhanced fact retrieval skill, and procedural computation and computational estimation tutoring (whether in isolation or combined with fact retrieval tutoring) enhanced computational estimation skill. Remediation was not differentially efficacious as a function of students' mathematics difficulty status.  相似文献   

3.
The purpose of this pilot study was to explore the impact of mathematics and reading learning difficulties on the mathematics‐vocabulary understanding of fifth‐grade students. Students (n = 114) completed three measures: mathematics computation, general vocabulary, and mathematics vocabulary. Based on performance on the mathematics computation and general vocabulary measures, students were categorized with no learning difficulty (i.e., typical), mathematics difficulty without reading difficulty (MD‐only), reading difficulty without mathematics difficulty (RD‐only), and combined mathematics and reading difficulties (MDRD). On the mathematics‐vocabulary measure, students with MD‐only or RD‐only scored significantly lower than typical students, and students with MDRD demonstrated significantly lower performance than students with MD‐only or RD‐only.  相似文献   

4.
The primary purpose of this study was to assess the effects of strategic counting instruction, with and without deliberate practice with those counting strategies, on number combination (NC) skill among students with mathematics difficulties (MD). Students (n = 150) were stratified on MD status (i.e., MD alone versus MD with reading difficulty) and site (proximal versus distal to the intervention developer) and then randomly assigned to control (no tutoring) or 1 of 2 variants of NC remediation. Both remediations were embedded in the same validated word-problem tutoring protocol (i.e., Pirate Math). In 1 variant, the focus on NCs was limited to a single lesson that taught strategic counting. In the other variant, 4–6 min of practice per session was added to the other variant. Tutoring occurred for 16 weeks, 3 sessions per week for 20–30 min per session. Strategic counting without deliberate practice produced superior NC fluency compared to control; however, strategic counting with deliberate practice effected superior NC fluency and transfer to procedural calculations compared with both competing conditions. Also, the efficacy of Pirate Math word-problem tutoring was replicated.  相似文献   

5.
The purpose of this study was to explore methods to enhance mathematical problem solving for students with mathematics disabilities (MD). A small‐group problem‐solving tutoring treatment incorporated explicit instruction on problem‐solution rules and on transfer. The transfer component was designed to increase awareness of the connections between novel and familiar problems by broadening the categories by which students group problems requiring the same solution methods and by prompting students to search novel problems for these broad categories. To create a stringent test of efficacy, we incorporated a computer‐assisted practice condition, which provided students with direct practice on real‐world problem‐solving tasks. We randomly assigned 40 students to problem‐solving tutoring, computer‐assisted practice, problem‐solving tutoring plus computer‐assisted practice, or control, and pre‐ and posttested students on three problem‐solving tasks. On story problems and transfer story problems, tutoring (with or without computer‐assisted practice) effected reliably stronger growth compared to control; effects on real‐world problem solving, although moderate to large, were not statistically significant. Computer‐assisted practice added little value beyond tutoring but, alone, yielded moderate effects on two measures.  相似文献   

6.
A two‐factor theory is proposed in an attempt to explain the difficulty that children with math disabilities have in mastering the basic number facts. The theory is based on the premise that weak cognitive representations lead to poorer retrieval of information from long‐term memory. Two groups of children with disabilities are discussed: those with math disabilities alone (MD) and those with co‐morbid math and reading disabilities (MD/RD). It is proposed that weak phonological processing abilities underlie the learning difficulties of MD/RD children, and that weak number sense is a causal factor in the math‐fact learning difficulties of MD only and some MD/RD children.  相似文献   

7.
Students with mathematics disabilities (MD) experience difficulties with both conceptual and procedural knowledge of different math concepts across grade levels. Research shows that concrete representational abstract framework of instruction helps to bridge this gap for students with MD. In this article, we provide an overview of this strategy embedded within the explicit instruction framework. We highlight effective practices for each component of the framework across different mathematical strands. Implications for practice are also discussed and a detailed case study is provided.  相似文献   

8.
Abstract. Thirty‐four matched pairs of sixth‐ and seventh‐grade students were selected from 358 participants in a comparison of an explicit concrete‐to‐representational‐to‐abstract (CRA) sequence of instruction with traditional instruction for teaching algebraic transformation equations. Each pair of students had been previously labeled with a specific learning disability or as at risk for difficulties in algebra. Students were matched according to achievement score, age, pretest score, and class performance. The same math teacher taught both members of each matched pair, but in different classes. All students were taught in inclusive settings under the instruction of a middle school mathematics teacher. Results indicated that students who learned how to solve algebra transformation equations through CRA outperformed peers receiving traditional instruction on both postinstruction and follow‐up tests. Additionally, error pattern analysis indicated that students who used the CRA sequence of instruction performed fewer procedural errors when solving for variables.  相似文献   

9.
The inability to develop, strengthen, and access associations in memory that allow for the rapid and accurate retrieval of answers to basic addition problems is a distinguishing characteristic of a mathematics learning difficulty. The ‘two-factor theory of math fact learning’ (Robinson, Menchetti, & Torgesen, 2002) proposes that a weakness in semantic or phonological processing relating to number underlies such difficulty. The empirical support for this theory has been limited. In this study the basic addition performance of five adolescent students still reliant on counting was examined. A regression analysis of reaction times to counting trials revealed counting-speed to be an important factor in helping to explain why practice had not led to retrieval. The findings are discussed in terms of advancing the two-factor theory of math fact learning and implications for instruction are considered.  相似文献   

10.
The objectives of this study were to (1) evaluate group differences in specific arithmetic competencies among students with various types of learning difficulties (LD) and (2) to examine the influence of attention behaviors on possible group differences. Participants were a community sample of 291 third‐ and fourth‐grade students with reading difficulties (RD) and/or math difficulties (MD), or with no LD (51 MD, 66 RD, 89 MD + RD, and 85 No LD students). Students were administered computerized measures of cognitive addition, subtraction, and estimation (accuracy and response times), as well as other measures. Groups were compared with and without covariation for behavioral inattention and their interactions. Small sums addition, thought to reflect retrieval processes, estimation accuracy, and number knowledge, did not show differences between MD and MD + RD students, although both showed lower performance than the RD and No LD groups. Attention behavior had a variable impact, most typically making group differences larger, but did not alter the general pattern of group differences, except in the case of estimation.  相似文献   

11.
This study investigated the role of strategy instruction and cognitive abilities on word problem solving accuracy in children with math difficulties (MD). Elementary school children (N = 120) with and without MD were randomly assigned to 1 of 4 conditions: general‐heuristic (e.g., underline question sentence), visual‐schematic presentation (diagrams), general‐heuristic + visual‐schematic, and an untreated control. When compared to the control condition that included children with MD, an advantage at posttest was found for children with MD for the visual‐schematic‐alone condition on measures of problem solving and calculation accuracy, whereas all strategy conditions facilitated posttest performance in correctly identifying problem solving components. The results also suggested that strategy conditions drew upon different cognitive resources. The General‐heuristic condition drew primarily upon the executive component of working memory (WM), Visual‐schematic condition drew upon the visual component of WM and the combined strategies condition drew upon number processing skills.  相似文献   

12.
This investigation was intended to examine the effects of teaching middle school students with learning disabilities and mild mental retardation to tutor one another in reading comprehension strategies. All students were reading significantly below grade level and many students exhibited behavior problems in addition to their primary disability area. Students were randomly assigned to a tutoring or traditional reading instruction condition. Within the tutoring condition, students were matched into tutoring dyads, trained in the tutoring procedures, and taught specific reading comprehension strategies. Reciprocal tutoring was employed, such that students assumed roles of both tutor and tutee during daily reading periods. Performance on reading comprehension tests following tutoring yielded significant performance advantages for students involved in tutoring. Observational, survey, and interview data revealed that students enjoyed tutoring more than their traditional instruction, appeared to see the value and benefits of the tutoring, and wanted to include tutoring as part of their other classes, such as science and social studies. Findings are discussed with respect to the strengths and challenges associated with the use of tutoring to provide strategic instruction to students with special learning needs.  相似文献   

13.
The purposes of this study were to replicate previous research on phonics-based tutoring in kindergarten and to compare treatment effects for students who received individual instruction compared to instruction in dyads. Thirty classroom teachers from 13 urban elementary schools referred at-risk students for participation. Students who met screening criteria were quasi-randomly assigned, within classroom, to one of three conditions: individual tutoring (n = 22), tutoring in dyads (n = 32), or no tutoring (n = 22, classroom instruction only). Twenty-one paraeducators provided 18 weeks of explicit instruction in phonemic skills and the alphabetic code to students during the latter half of kindergarten. Multilevel model results showed that tutored students outperformed non-tutored controls on posttest measures of phonological awareness, word reading accuracy, oral reading fluency, spelling, and comprehension. However, no significant differences were found between the two tutored groups on any measure, suggesting that code-oriented tutoring for pairs of students is a viable alternative to the gold standard of individual instruction.  相似文献   

14.
This randomized control treatment study investigated the role of generative paraphrasing interventions on word problem‐solving (WPS) accuracy in English language learners (ELL) who were at risk for math difficulties (MD). One hundred and forty‐two third‐grade monolingual and English language learners were randomly assigned to either an untreated control group or one of three treatment conditions: paraphrase question (Restate), paraphrase relevant information (Relevant), and paraphrase all propositions (Complete). Results showed that the relevant treatment condition improved WPS accuracy for monolingual and ELL children's accuracy relative to the control and restate condition. There were, however, no positive advantages on the transfer measures (knowledge of problem‐solving components, calculation) for ELL children with MD. In addition, the magnitude of posttest outcomes on the problem‐solving measures was substantially smaller for ELL children with MD than for children without MD. Although the results overall support the notion that generative learning improves problem‐solving accuracy, ELL children without MD are most likely to benefit from its application.  相似文献   

15.
This meta‐analysis synthesized research on math performance outcomes for English learners (EL) as a function of language‐focused (math vocabulary) interventions. We included group and single‐subject design studies with children from kindergarten to 8th grade (3,766 students for group, 30 for single‐subject). Group studies yielded a mean Hedges’ g of 0.26 in favor of the interventions relative to the control conditions, whereas single‐subject studies yielded a mean Percentage of Non‐Overlapping Data of 81.01% and Phi coefficient of .66 relative to baseline. Although group studies yielded small effect sizes (ESs), we found significant moderators for grade level, intervention focus, and length of intervention. Single‐subject studies yielded higher ESs than group studies, and were considered generally effective, with a high ES. This finding was attributed to a direct focus on children with math difficulties and one‐to‐one instruction. The implications for practice and future research are discussed.  相似文献   

16.
The Common Core State Standards provide teachers with a framework of necessary mathematics skills across grades K‐12, which vary considerably from previous mathematics standards. In this article, we discuss concerns about the implications of the Common Core for students with mathematics difficulties (MD), given that students with MD, by definition, struggle with mathematical skills. We suggest that instruction centered on the Common Core will be challenging and may lead to problematic outcomes for this population. We propose that working on foundational skills related to the Common Core standards is a necessary component of mathematics instruction for students with MD, and we provide teachers with a framework for working on foundational skills concurrent with the Common Core standards. We caution, however, that implementation of the Common Core is in its infancy, and the implications of the Common Core for students with MD need to be monitored carefully.  相似文献   

17.
We present first-grade, second-grade, and third-grade impacts for a first-grade intervention targeting the conceptual and procedural bases that support arithmetic. At-risk students (average age at pretest = 6.5) were randomly assigned to three conditions: a control group (n = 224) and two variants of the intervention (same conceptual instruction but different forms of practice: speeded [n = 211] vs. nonspeeded [n = 204]). Impacts on all first-grade content outcomes were significant and positive, but no follow-up impacts were significant. Many intervention children achieved average mathematics achievement at the end of third grade, and prior math and reading assessment performance predicted which students will require sustained intervention. Finally, projecting impacts 2 years later based on nonexperimental estimates of effects of first-grade math skills overestimates long-term intervention effects.  相似文献   

18.
This cross‐sectional study examined the perceptions of social support reported by middle‐school students with multiple learning disabilities (LD) (reading + math) in inclusive settings. Comparison groups included youths with a learning disability in reading only (RD), mathematics only (MD), and no LD (i.e., normally achieving) (NA). One hundred twenty middle‐school students, 15 boys and 15 girls in each group, were included in the current study. Participants were surveyed using an established measure of perceived social support. Effect size differences and MANOVA were used in the data analyses. Learning disability type explained 21% ( p < .001) of the variance in perceptions of parent, classmate, and friend support. Students with multiple LD (RD + MD) reported the lowest perceived social support on these dependent variables. Follow‐up analyses revealed that eighth‐grade boys reported the lowest perceived parent support and that boys in general reported lower perceived friend support than girls. Sixth‐grade students with multiple LD reported the lowest perceived friend support, and sixth‐grade males reported the lowest perceived teacher support. Implications for practicing school psychologists and recommendations for future research are discussed. © 2006 Wiley Periodicals, Inc. Psychol Schs 43: 197–209, 2006.  相似文献   

19.
As students enter the upper elementary grades, word problems become a main component of mathematics instruction, increasing in complexity as students advance through the curriculum. For students identified as emergent bilinguals with mathematics difficulty (MD), the linguistic complexity inherent in word problems may serve as a barrier to word-problem proficiency. The current study investigated the potential relation between academic English proficiency and word-problem outcomes for emergent bilinguals with MD. After analyzing data from 241 third-grade students, results indicated students who participated in an evidence-based word-problem intervention outperformed students who did not receive the intervention. Moreover, students’ academic English-language proficiency scores in the domains of reading and writing positively correlated with higher scores on a measure of word-problem solving.  相似文献   

20.
In this study, the relationship between adolescents’ difficulty in mathematics and reading and the influence on academic self-concept and school grades was examined. The participants (N = 585; 299 girls, 286 boys) were one age group of ninth-graders whose mathematics and reading skills were assessed at the end of comprehensive school at age 16 years. Five student profile groups were found using cluster analysis: best achievers, normal achievers (NA), the reading difficulty (RD) group, the mathematical difficulty (MD) group, and the learning difficulty (LD) group. Post-hoc tests revealed that the RD group and the LD group had a higher academic self-concept than the MD group. In school grades history, surprisingly, the NA group and the RD group performed equally well across all school grades. Students in the MD group performed as poorly as the LD group. The results emphasise the prolonged and generalised effects of especially MD on students’ academic careers.  相似文献   

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