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1.
《Journal of research on educational effectiveness》2013,6(1):2-32
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
2.
Sarah R. Powell Lynn S. Fuchs Douglas Fuchs Paul T. Cirino Jack M. Fletcher 《Learning disabilities research & practice》2009,24(1):1-11
The purpose of this study was to assess the efficacy of fact retrieval tutoring as a function of math difficulty (MD) subtype, that is, whether students have MD alone (MD‐only) or have concurrent difficulty with math and reading (MDRD). Third graders (n= 139) at two sites were randomly assigned, blocking by site and MD subtype, to four tutoring conditions: fact retrieval practice, conceptual fact retrieval instruction with practice, procedural computation/estimation instruction, and control (no tutoring). Tutoring occurred for 45 sessions over 15 weeks for 15–25 minutes per session. Results provided evidence of an interaction between tutoring condition and MD subtype status for assessment of fact retrieval. For MD‐only students, students in both fact retrieval conditions achieved comparably and outperformed MD‐only students in the control group as well as those in the procedural computation/estimation instruction group. By contrast, for MDRD students, there were no significant differences among intervention conditions. 相似文献
3.
《Exceptionality》2013,21(3):151-164
Students with mathematics learning disabilities (LD) exhibit difficulties with retrieval and cognitive skills that impede their ability to perform basic mathematical skills. Instruction in mathematical procedures (i.e., procedural knowledge) is necessary to help students learn and apply skills such as basic facts and whole-number computation. Division is a skill that is identified in curriculum across the grade levels; yet, it is a skill that is often taught last in instructional sequences because of its complexity and prerequisite knowledge. Reviews of research have revealed that students with LD benefit from a combined model of academic instruction that includes both explicit and strategic instructional procedures. This article presents an overview of division instruction and a sample of interventions for teaching division that include explicit and strategic instructional procedures, which are found in the combined model of teaching. 相似文献
4.
Lynn S. Fuchs Sarah R. Powell Pamela M. Seethaler Paul T. Cirino Jack M. Fletcher Douglas Fuchs Carol L. Hamlett 《Learning and individual differences》2010,20(2):89-100
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 the study was to examine differences in early numerical competencies, as well as subtraction skill, as a function of children's mathematics difficulty (MD) status: computational difficulty (CD), word problem-solving difficulty (PD), concurrent difficulty (CDPD), or neither difficulty (i.e., typically developing; TYP). Based on measures of addition and word-problem skill, second grade students (N = 332) were classified in terms of MD status. Then, students were assessed on three early numerical competency measures (Number Line Estimation, Number Sets Test, and Counting Knowledge) as well as a measure of subtraction. On Number Line Estimation and Number Sets Test, students with CD and those with PD scored comparably, but both outperformed students with CDPD. On Counting Knowledge-Double First, students with CDPD scored lower than the three contrasting groups. On subtraction, students with CD outperformed those with PD, and students with PD and those with CDPD performed comparably. Findings are discussed in terms of differential performance as a function of difficulty status and implications for understanding and teaching subtypes of MD. 相似文献
6.
《Learning disabilities research & practice》2017,32(4):231-245
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
7.
We identify a recent trend in school mathematics as well as in some of the research literature in mathematics education: an emphasis on the practical uses of mathematics and an increased emphasis on verbalizations as opposed to numerical and computational skills. With tools provided by John Dewey, an early advocate of contextual and practical knowledge, we analyse the common research framework for discussing mathematical knowledge in terms of the procedural and the conceptual. We argue that procedural and conceptual knowledge should not be seen as opposites, and that the tendency to treat them as such might be avoided by emphasising the notion of operational skill. We argue that this is important in order for the students to gain both the contextual knowledge and the computational skill entailed in mathematical knowledge. 相似文献
8.
The purpose of this study was to examine the relations of various cognitive abilities and aspects of math performance with computational estimation skill among third graders. Students (n= 315) were assessed on language, nonverbal reasoning, concept formation, processing speed, long‐term memory, working memory, inattentive behavior, basic reading skill, arithmetic number combination skill, double‐digit computation skill, and computational estimation ability. One‐way analysis of variance indicated significant differences in estimation skill among students of low, average, and high math computation performance. The unique predictors of estimation skill were arithmetic number combination skill, nonverbal reasoning, concept formation, working memory, and inattentive behavior. 相似文献
9.
Amal Hussain Alajmi 《Journal of Mathematics Teacher Education》2009,12(4):263-283
Computational estimation has not yet established a place in the Kuwaiti national curriculum. An attempt was made to include
it during the early 1990s, but it was dropped by the Kuwaiti Ministry of Education because of the difficulties teachers had
teaching it. In an effort to provide guidance for reintroducing the concept into the curriculum, this study reports on mathematics
teachers’ understanding of the meaning of computational estimation and their views about its significance in the elementary
and middle school curricula in Kuwait. Data gathered from 59 elementary and middle schools teachers in Kuwait revealed that
more than 60% of teachers equate computational estimation with rounding. While two-thirds of the teachers viewed computational
estimation to be an important skill for daily life; only one-fifth (20%) saw it as important in mathematics education. More
than half of the teachers either disagreed with the idea of teaching computational estimation or only wanted to teach it in
limited situations. Most were concerned about the difficulty of learning computational estimation or feared that teaching
computational estimation would cause problems with students’ development of standard algorithms for determining an exact answer.
These findings reveal the challenge that mathematics educators face in introducing computational estimation into the mathematics
curriculum. In order for computational estimation to be taught in elementary and middle school classrooms, teachers need to
understand the concept and its value in education. Teacher education needs to focus on helping teachers better understand
the concept of computational estimation and appreciate its value for instruction. 相似文献
10.
This paper presents a study on mathematical problem solving in third-grade pupils. The relationship between mathematics, metacognition
and intelligence was investigated in children with (n = 191) and without mathematical learning disabilities (n = 268). A significant relationship was found between prediction, evaluation, intelligence, procedural and mathematical fact
retrieval skills in children without mathematical learning disabilities. In the children with mathematical learning disabilities
a relationship was found between metacognitive and procedural skills. No such relationship was found between intelligence
and metacognition or between metacognition and mathematical fact retrieval skills. In addition it was investigated if children
with mathematical learning disabilities had less adequate metacognitive skills than peers without learning problems. At group
level significant differences were found between both groups. However on analyzing these results further, it was found that
four out of five children with combined mathematical learning disabilities, half of the children with procedural disabilities
and only 5% of the children with a retrieval deficiency had low metacognitive skills. Furthermore, metacognitive problems
were found in one out of five children without learning disabilities. Moreover, a majority of the children with mathematical
learning disabilities and inadequate metacognitive skills had problems with prediction and evaluation skills. Most third graders
with low metacognitive skills only appeared to have problems predicting the level of difficulty of tasks. Inaccurate evaluations
were found on a more regular basis in children with mathematical learning disabilities and inadequate metacognitive skills
as opposed to the sample of children with inadequate metacognitive skills but without learning difficulties, where their occurrence
was rather a one off. The implications of this study for diagnosis and treatment will be discussed later in this paper. 相似文献
11.
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
12.
Fact retrieval deficits in low achieving children and children with mathematical learning disability
Using 4 years of mathematics achievement scores, groups of typically achieving children (n = 101) and low achieving children with mild (LA-mild fact retrieval; n = 97) and severe (LA-severe fact retrieval; n = 18) fact retrieval deficits and mathematically learning disabled children (MLD; n = 15) were identified. Multilevel models contrasted developing retrieval competence from second to fourth grade with developing competence in executing arithmetic procedures, in fluency of processing quantities represented by Arabic numerals and sets of objects, and in representing quantity on a number line. The retrieval deficits of LA-severe fact retrieval children were at least as debilitating as those of the children with MLD and showed less across-grade improvement. The deficits were characterized by the retrieval of counting string associates while attempting to remember addition facts, suggesting poor inhibition of irrelevant information during the retrieval process. This suggests a very specific form of working memory deficit, one that is not captured by many typically used working memory tasks. Moreover, these deficits were not related to procedural competence or performance on the other mathematical tasks, nor were they related to verbal or nonverbal intelligence, reading ability, or speed of processing, nor would they be identifiable with standard untimed mathematics achievement tests. 相似文献
13.
为了促进学生个性化发展、提升教育公平,基于学生的异质性提供个性化辅导成为学者们探讨的热点问题。为了解一对一在线辅导这种政府提供的个性化教育公共服务是如何促进不同背景学生的个性化学习,该文针对北京某区2471名学生辅导产生的16820条对话数据,分析不同成绩学生在线辅导行为差异,并对辅导主题和师生情感分布进行组间比较分析。结果表明:在线行为中,学生参与辅导的次数和难度与其学习成绩相关;不同成绩组学生的辅导次数与难度均存在差异性;通过对辅导高频知识点的分析,发现不同成绩组学生辅导知识点具有相似性,同时也存在一定知识点广度和深度的群体差异;在情感维度发现,不同绩效背景群体没有显著差异,且师生参与辅导的正面情感密度远远高于负面情感,表明师生对参与一对一辅导整体持有积极、肯定的情感。 相似文献
14.
15.
Computational skills, working memory, and conceptual knowledge in older children with mathematics learning disabilities 总被引：1，自引：0，他引：1
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
16.
The present study tested the hypothesis that maturing prefrontal lobes play a role in the development of proportional reasoning skill because the prefrontal lobes are involved in the inhibition of task‐irrelevant information and the representation of task‐relevant information. The hypothesis that reasoning development is in part dependent upon physical experience was also tested. Students (all males) who failed to solve a diagnostic proportions task were administered several tests of prefrontal lobe functions. The students were then randomly assigned to manipulative or verbal tutoring groups. Both groups received a series of individual testing, tutoring and testing sessions on proportional reasoning. As predicted, performance on the prefrontal lobe tasks (measures of inhibiting ability, planning ability, dissembedding ability, and working memory capacity) significantly predicted performance on proportional reasoning tasks following tutoring. Students' computational skills were not a significant predictor. Also, the manipulative group's proportional reasoning performance was significantly higher than that of the verbal tutoring group. Therefore, the present results provide support for the hypothesis that maturing prefrontal lobes and physical experience play roles in the development of proportional reasoning skill. © 2000 John Wiley & Sons, Inc. J Res Sci Teach 37: 1171–1182, 2000 相似文献
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18.
Caron A. C. Clark Tiffany D. Sheffield Sandra A. Wiebe Kimberly A. Espy 《Child development》2013,84(2):662-677
Executive control (EC) is related to mathematics performance in middle childhood. However, little is known regarding how EC and informal numeracy differentially support mathematics skill acquisition in preschoolers. A sample of preschoolers (115 girls, 113 boys), stratified by social risk, completed an EC task battery at 3 years, informal numeracy assessments at 3.75 and 4.5 years, and a broad mathematics assessment during kindergarten. Strong associations were observed between latent EC at age 3 and mathematics achievement in kindergarten, which remained robust after accounting for earlier informal numeracy, socioeconomic status, language and processing speed. Relations between EC and mathematics achievement were stronger in girls than in boys. Findings highlight the unique role of EC in predicting which children may have difficulty transitioning to formal mathematics instruction. 相似文献
19.
This review of the literature on peer and cross-age tutoring emphasizes programs in mathematics and suggests that such programs
have positive academic outcomes for African American and otherminority students as well as for White students who participate
as tutors, as tutees, or both. Such programs also appear to have a positive impact on a variety of attitudinal and socioemotional
outcomes, such as students' attitudes towards school, their self-concepts, and their sense of academic efficacy. This review
also explores whether specific features of the tutoring programs (e.g., tutor training and amount of tutoring) or characteristics
of the students (e.g., academic level prior to tutoring and gender composition of tutor-tutee pairs) affect various outcomes.
Role theory is used as a theoretical framework to explain some intriguing and surprising findings (e.g., why tutors show academic
gains even when they do not receive additional subject matter instruction, whylonger and/or more substantial tutoring programs
may not foster greater immediate academic gains than shorter programs, and why mixed-sex pairs do not consistently reap benefits
equal to those of same-sex pairs). Finally, implications of the review for the development of peer and cross-age tutoring
programs are discussed. 相似文献
20.
《Australian Journal of Learning Difficulties》2013,18(4):19-24
Abstract Successful mathematics learning requires the efficient processing of the information that defines the arithmetic tasks. Information processing relates to the ways in which individuals make sense of, or interpret, the information to which they are exposed. The present study examines four aspects of information processing and their relationship for whole number computation for third and fifth grade students. The aspects included students’ ability to (1) manipulate numerals, (2) encode number sentences , (3) recognise order among numbers and (4) perform an arithmetic procedure. Information processing in each area correlated with computational skill. At risk students were less efficient in their information processing. As well, the complexity of the numerical information affected how well the students could use it. The more complex the numerical information was, the greater the load it placed on the learner. The implications for diagnosing low mathematics achievement are discussed. 相似文献