共查询到20条相似文献，搜索用时 15 毫秒
1.
Mathematical problem-solving profiles of students with mathematics disabilities with and without comorbid reading disabilities 总被引：3，自引：0，他引：3
The purpose of this study was to describe the mathematical problem-solving profiles of students with mathematics disabilities (MD) with and without comorbid reading disabilities (RD). The disability status of fourth-grade students was verified through testing (n = 18 MD; n = 22 MD + RD). Then a hierarchy of mathematics problem-solving tasks was administered. The results demonstrated large deficits for both groups; however, the differences between students with MD and those with MD + RD were mediated by the level of problem solving (arithmetic story problems vs. complex story problems vs. real-world problem solving) and by performance dimension (operations vs. problem solving). On arithmetic story problems, the differences between the disability subtypes were similar for operations and problem solving. By contrast, on complex story problems and real-world problem solving, the differences between the subtypes were larger for problem solving than for operations. 相似文献
2.
Johan Korhonen Karin Linnanmäki Pirjo Aunio 《Scandinavian Journal of Educational Research》2013,57(3):333-344
This study investigated the connection between language (i.e., word comprehension, reading comprehension and spelling skills) and mathematical performance. The sample consisted of grade nine students (N?=?810) in 14 lower secondary schools in the Swedish speaking areas of Finland. Standardized tests for reading and writing skills, and mathematical performance were used. Based on the mathematics test the students were categorized into eight performance groups. Many students had problems in both mathematics and language performance. On the whole data level reading skills were a powerful predictor for math performance, the reading factor explained 52% of the variance in the model. Hence, the reading skills focusing on understanding of the text are important in solving mathematical tasks at the end of compulsory school. 相似文献
3.
QuickSmart is a basic academic skills intervention designed for persistently low-achieving students in the middle years of schooling that aims to improve the automaticity of basic skills to improve higher-order processes, such as problem solving and comprehension, as measured on standardized tests. The QuickSmart instructional program consists of three structured, teacher- or teacher aide-directed, 30-minute, small-group lessons each week for approximately 26 weeks. In this study, 42 middle school students experiencing learning difficulties (LD) completed the QuickSmart reading program, and a further 42 students with LD took part in the QuickSmart mathematics program. To investigate the effects of the intervention, comparisons were made between the reading and mathematics progress of the intervention group and a group of 10 high-achieving and 10 average-achieving peers. The results indicated that although the standardized reading comprehension and mathematics scores of QuickSmart students remained below those of comparison students, they improved significantly from pretest to posttest. In contrast, the standardized scores of comparison students were not significantly different from pretest to posttest. On measures of response speed and accuracy gathered using the Cognitive Aptitude Assessment System (CAAS), QuickSmart students were able to narrow the gap between their performance and that of their high- and average-achieving peers. Implications are drawn regarding the importance of interventions that emphasize the automaticity of basic academic skills for students with learning difficulties. 相似文献
4.
This study evaluated whether schema-based instruction (SBI), a promising method for teaching students to represent and solve mathematical word problems, impacted the learning of percent word problems. Of particular interest was the extent that SBI improved high- and low-achieving students' learning and to a lesser degree on the indirect effect of SBI on transfer to novel problems, as compared to a business as usual control condition. Seventy 7th grade students in four classrooms (one high- and one low-achieving class in both the SBI and control conditions) participated in the study. Results indicate a significant treatment by achievement level interaction, such that SBI had a greater impact on high-achieving students' problem solving scores. However, findings did not support transfer effects of SBI for high-achieving students. Implications for improving the problem-solving performance of low achievers are discussed. 相似文献
5.
Students with learning disabilities (LD) consistently struggle with word problem solving in mathematics classes. This difficulty has made curricular, state, and national tests particularly stressful, as word problem solving has become a predominant feature of such student performance assessments. Research suggests that students with LD perform poorly on word problem‐solving items due primarily to deficits in problem representation. Therefore, it is imperative that teachers provide these students with supplemental problem‐solving instruction that specifically targets the development of representational strategies. This article describes how one representational strategy, using number lines, can be used to model word problems as part of a comprehensive problem‐solving intervention to improve the conceptual understanding of math word problems and, subsequently, the problem‐solving performance of students with LD. 相似文献
6.
The present study aims to investigate the effects of a design experiment developed for third-grade students in the field of mathematics word problems. The main focus of the program was developing students?? knowledge about word problem solving strategies with an emphasis on the role of visual representations in mathematical modeling. The experiment involved five experimental and six control classes (N?=?106 and 138, respectively) of third-grade students. The experiment comprised 20 lessons with 73 word problems, providing a systematic overview of the basic word problem types. Teachers of the experimental classes received a booklet containing lesson plans and overhead transparencies with different types of visual representations attached to the word problems. Students themselves were invited to make drawings for each task, and group work and teacher-led discussion shaped their beliefs about the role of visual representations in word problem solving. The effect sizes of the experiment were calculated from the results of two tests: an arithmetic skill and a word problem test, and the unbiased estimates for Cohen??s d proved to be 0.20 and 0.62. There were significant changes also in experimental group students?? beliefs about mathematics. The experiment pointed to the possibility, feasibility, and importance of learning about visual representations in mathematical word problem solving as early as in grade?3 (around age 9?C10). 相似文献
7.
Asha K. Jitendra Jon R. Star Kristin Starosta Jayne M. Leh Sheetal Sood Grace Caskie Cheyenne L. Hughes Toshi R. Mack 《Contemporary educational psychology》2009
The present study evaluated the effectiveness of an instructional intervention (schema-based instruction, SBI) that was designed to meet the diverse needs of middle school students by addressing the research literatures from both special education and mathematics education. Specifically, SBI emphasizes the role of the mathematical structure of problems and also provides students with a heuristic to aid and self-monitor problem solving. Further, SBI addresses well-articulated problem solving strategies and supports flexible use of the strategies based on the problem situation. One hundred forty eight seventh-grade students and their teachers participated in a 10-day intervention on learning to solve ratio and proportion word problems, with classrooms randomly assigned to SBI or a control condition. Results suggested that students in SBI treatment classes outperformed students in control classes on a problem solving measure, both at posttest and on a delayed posttest administered 4 months later. However, the two groups’ performance was comparable on a state standardized mathematics achievement test. 相似文献
8.
One hundred and thirty-three mathematics teachers of deaf students from grades 6-12 responded to a survey on mathematics word problem-solving practices. Half the respondents were teachers from center schools and the other half from mainstream programs. The latter group represented both integrated and self-contained classes. The findings clearly show that regardless of instructional setting, deaf students are not being sufficiently engaged in cognitively challenging word problem situations. Overall, teachers were found to focus more on practice exercises than on true problem-solving situations. They also emphasize problem features, possibly related to concerns about language and reading skills of their students, rather than analytical and thinking strategies. Consistent with these emphases, teachers gave more instructional attention to concrete visualizing strategies than to analytical strategies. Based on the results of this study, it appears that in two of the three types of educational settings, the majority of instructors teaching mathematics and word problem solving to deaf students lack adequate preparation and certification in mathematics to teach these skills. The responses of the certified mathematics teachers support the notion that preparation and certification in mathematics makes a difference in the kinds of word problem-solving challenges provided to deaf students. 相似文献
9.
10.
Yan Ping Xin Jia Liu Sarah R. Jones Ron Tzur Luo Si 《The Journal of educational research》2016,109(4):436-447
Reform efforts in mathematics education arose, in part, in response to constructivist works on conceptual learning. However, little research has examined how students with learning disabilities (LD) respond to constructivist-oriented instruction in mathematics, particularly in moment-to-moment interactions. To understand the nature of constructivist-oriented mathematics instruction involving students with LD, the authors conducted a case study to analyze teacher–student interactions during constructivist-oriented small group instruction involving a student with LD. The student demonstrated, to a certain degree, the ability to reason mathematically when provided with appropriate opportunities and prompting. However, given the limited intervention time, his reasoning and problem solving did not seem to go beyond the semiconcrete level of operation, which may have inhibited his solving of complex word problems with large numbers. Findings indicate that more efforts are needed to support students, those with LD in particular, in their transitions from concrete or semiconcrete to abstract conceptual understanding and problem solving. 相似文献
11.
12.
Item stem formats can alter the cognitive complexity as well as the type of abilities required for solving mathematics items. Consequently, it is possible that item stem formats can affect the dimensional structure of mathematics assessments. This empirical study investigated the relationship between item stem format and the dimensionality of mathematics assessments. A sample of 671 sixth-grade students was given two forms of a mathematics assessment in which mathematical expression (ME) items and word problems (WP) were used to measure the same content. The effects of mathematical language and reading abilities in responding to ME and WP items were explored using unidimensional and multidimensional item response theory models. The results showed that WP and ME items appear to differ with regard to the underlying abilities required to answer these items. Hence, the multidimensional model fit the response data better than the unidimensional model. For the accurate assessment of mathematics achievement, students’ reading and mathematical language abilities should also be considered when implementing mathematics assessments with ME and WP items. 相似文献
13.
Lynn S. Fuchs Douglas Fuchs Carol L. Hamlett Amanda C. Appleton 《Learning disabilities research & practice》2002,17(2):90-106
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
14.
15.
Based on their performance on a standardized achievement test, second-grade children (N = 49) were classified as having mathematics difficulties with normal reading achievement (MD only), both mathematics and reading difficulties (MD/RD), reading difficulties with normal mathematics achievement (RD only) and normal mathematics and reading achievement (NA). Each child was given a series of tasks so that we might assess their thinking across four areas of mathematics: number facts, story problems, place value, and written calculation. Children with MD/RD performed significantly worse than NA children in most areas of mathematical thinking, whereas children with MD only performed worse than NA children only on complex story problems. The MD-only group outperformed the MD/RD group on story problems and written calculation. No significant differences were found between the RD-only and NA groups on any of the tasks. The results suggested that among children with mathematics difficulties, the MD/RD subgroup is distinct from the MD-only subgroup, with the former being characterized by pervasive deficiencies in mathematical thinking and the latter by more specific deficits in problem solving. 相似文献
16.
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
17.
The reading and mathematics achievement and specific mathematical competencies of 74 children were followed over four time points during second and third grades. At the beginning of the study, children were classified into one of four groups: moderate mathematics deficiencies but normal reading (MMD‐only); moderate mathematics and reading deficiencies (MMD/MRD); moderate reading deficiencies but normal mathematics (MRD‐only); and normal achievement in reading and mathematics (NA). Although the MMD‐only and the MMD/MRD groups started out at the same level in mathematics, the MMD‐only group surpassed the MMD/MRD group over time. A parallel pattern in reading was not observed for the MRD‐only and MMD/MRD groups, with children in both groups performing at consistently low levels. Weaknesses in fact retrieval and estimation characterized children with MMD, with or without RD. The MMD‐only group showed an advantage over the MMD/MRD group in problem solving. Reading and language strengths help children compensate for deficiencies in selected areas of mathematics. 相似文献
18.
Spatial visualization, visual imagery, and mathematical problem solving of students with varying abilities 总被引：1，自引：0，他引：1
van Garderen D 《Journal of learning disabilities》2006,39(6):496-506
The purpose of this study was to investigate students' use of visual imagery and its relationship to spatial visualization ability while solving mathematical word problems. Students with learning disabilities (LD), average achievers, and gifted students in sixth grade (N = 66) participated in this study. Students were assessed on measures of mathematical problem solving, visual imagery representation, and spatial visualization ability. The results indicated that gifted students performed better on both spatial visualization measures than students with LD and average-achieving students. Use of visual images was positively correlated with higher mathematical word-problem-solving performance. Furthermore, the use of schematic imagery was significantly and positively correlated with higher performance on each spatial visualization measure; conversely, it was negatively correlated with the use of pictorial images. 相似文献
19.
Amber S. Moran H. Lee Swanson Michael M. Gerber Wenson Fung 《Learning disabilities research & practice》2014,29(3):97-105
The purpose of this study was to examine effectiveness of paraphrasing interventions on mathematics word problem‐solving accuracy in third grade children (N = 72) at risk for mathematics disabilities (MD). Three instructional conditions directed students’ attention through paraphrasing, via writing, to different propositions within word problems. Students were randomly assigned to one of four intervention conditions: paraphrase question propositions (restate), paraphrase relevant propositions (relevant) and paraphrase all propositions (complete) or an untreated control. A mixed ANCOVA indicated that paraphrasing relevant and complete propositions significantly increased posttest accuracy when compared to the control and restate condition. Results from the study provide support for the effectiveness of paraphrasing interventions that directs students to restate/paraphrase propositions of mathematics word problems relative to the control condition. 相似文献
20.
This experimental study reports findings on the effects from a year-long reading intervention providing daily, 50-minute sessions to middle-school students with identified learning disabilities (n = 65) compared with similar students who did not receive the reading intervention (n = 55). All students continued to receive their special education services as provided by the school. Results indicated statistically significant findings favoring the treatment group for sight word reading fluency following intervention. Small effects were found for phonemic decoding fluency and passage comprehension. No other statistically significant differences were noted between groups. The findings suggest that while gains on word reading fluency resulted from the additional reading treatment, accelerating the reading performance of students identified with learning disabilities may be unlikely to result from a one-year, daily intervention provided to students in groups of 10-15. 相似文献