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1.
This study examined the effects of explicit instruction in the SOLVE Strategy on the mathematical problem solving skills of six Grade 8 students with specific learning disabilities. The SOLVE Strategy is an explicit instruction, mnemonic‐based learning strategy designed to help students in solving mathematical word problems. Using a multiple probe across participants design, results suggested a functional relation between explicit instruction in the SOLVE strategy and increase in strategy use and computation scores on grade level mathematical word problems for all participants. Additionally, all participants generalized the SOLVE Strategy to other mathematic topics and concepts, and the teacher and students felt the intervention was socially acceptable. Finally, limitations, implications for practice, and suggestions for future research are discussed.  相似文献   

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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   

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This study investigated the impact of cognitive strategy instruction (CSI) on mathematical word problem solving of students with mathematics disabilities. A sample of fourth-grade students in a Chinese primary school was divided into a treatment group (75 students) and a comparison group (75 students). The sample consisted of students with mathematics disabilities only, students with both mathematics and reading disabilities, as well as average- and high-achieving students. Results showed that students at all ability levels (except high-achieving students) in the treatment group outperformed significantly their counterparts in the comparison group; the intervention effect was stronger for students with mathematics disabilities only than for those with both mathematics and reading disabilities. The present study indicates that CSI is a contextually and pedagogically appropriate model that has a strong potential to improve mathematical word problem solving.  相似文献   

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Requirements for reasoning, explaining, and generalizing mathematical concepts increase as students advance through the educational system; hence, improving overall mathematical proficiency is critical. Mathematical proficiency requires students to interpret quantities and their corresponding relationships during problem‐solving tasks as well as generalizing to different contexts; both requirements are particularly challenging for many students with learning disabilities. An in‐depth review of research was completed to (1) demonstrate how interventions targeting mathematical problem solving are categorized into heuristic, semantic, or authentic approaches; (2) explore the degree to which generalization is presented in each approach; and (3) determine the efficacy of each intervention approach. Experimental studies (n = 17) demonstrating the effects of interventions designed to enhance mathematical problem solving for secondary students with or at risk of learning disabilities were analyzed. Findings indicate that the efficacy of the three intervention approaches varies, and that the real‐world connections differ. Implications for research and practice are discussed.  相似文献   

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This article reports on the last of a series of iterative research studies involving students with learning disabilities in reform mathematics classrooms at the intermediate grade levels. This study reports the findings from a larger, year‐long case study that focused on ways to include students with learning disabilities and other students who are at risk for special education services in classwide discussions of problem solving. The data reported in this article detail the changes in teacher and student discourse over a nine‐week period in one classroom. Sources of data for this study included videotapes, audiotapes, and informal interviews with the teacher, a paraprofessional, and students. A quantitative analysis of the results indicates clear patterns of change in teacher and student discourse. Nonetheless, intentional efforts to include target students in the whole‐class discussions yielded instructional dilemmas that are underdescribed in the mathematics reform literature. Findings from this study have implications for special educators interested in mathematical problem solving, as well as math reformers who value the role of classroom discourse in daily instruction.  相似文献   

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Problem solving is an important yet neglected mathematical skill for students with autism spectrum disorder and intellectual disability (ASD/ID). In addition, the terminology and vocabulary used in mathematical tasks may be unfamiliar to students with ASD/ID. The current study evaluated the effects of modified schema-based instruction (SBI) on the algebra problem solving skills of three middle school students with ASD/ID. Mathematics vocabulary terms were taught using constant time delay. Participants were then taught how to use an iPad that displayed a task analysis with embedded prompts to complete each step of solving the word problems. This study also examined participant’s ability to generalize skills when supports were faded. Results of the multiple probe across participants design showed a functional relation between modified SBI and mathematical problem solving as well as constant time delay and acquisition of mathematics vocabulary terms. Implications for practice and future research are discussed.  相似文献   

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This study investigated the effects of cognitive and metacognitive strategy instruction on the mathematical problem solving of six middle school students with learning disabilities. Conditions of the multiple baseline, across-subjects design included baseline, two levels of treatment, setting and temporal generalization, and retraining. For Treatment 1, subjects received either cognitive or metacognitive strategy instruction. Treatment 2 consisted of instruction in the complementary component of the instructional program so that all subjects eventually received both cognitive and metacognitive strategy instruction. This design allowed a componential analysis of the content as well as sequence of instruction. Generally, subjects improved their mathematical problem solving as measured by performance on one-, two-, and three-step word problems. Discussion focused on effectiveness of treatment, acquisition and application of strategic knowledge, error pattern analysis, and the need to tailor instruction to the learner's individual characteristics.  相似文献   

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Direct instruction reading programs have been found to be a successful way to teach reading to many, but not all, students with learning disabilities. This study investigated whether reading improvement for students with learning disabilities receiving reading instruction through a direct instruction reading program might be related to their language abilities. The reading progress of 26 students (19 male, 7 female), 7 to 10 years old, was measured over 2 years. In addition, phonological and syntactic abilities were assessed. The results indicated that phonological ability was related to progress in word attack skills and that syntactic ability was related to improvement in comprehension skills. These results have implications for the reading instruction of students with learning disabilities.  相似文献   

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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   

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Two well-accepted ideas among educators are (a) performance assessment is an effective means of assessing higher-order thinking skills and (b) data-driven instruction planning is a valuable tool for optimizing student learning. This article describes a locally developed performance task (LDPT) designed to measure critical thinking, problem solving, and written communication skills of elementary and middle school students in a large school district. An investigation was conducted to determine how middle school teachers use LDPT responses to inform instruction and to ascertain how students are reflecting on their performance. Results from an analysis of documents indicated teachers were engaged in formal data-informed practices within professional learning communities. Moreover, educators examined student work samples and planned instruction based on student-specific needs. Strategies to reinforce proficiency in the skills assessed by the district's LDPT are reported.  相似文献   

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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   

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Solving word problems is a difficult task for students at‐risk for or with learning disabilities (LD). One instructional approach that has emerged as a valid method for helping students at‐risk for or with LD to become more proficient at word‐problem solving is using schemas. A schema is a framework for solving a problem. With a schema, students are taught to recognize problems as falling within word‐problem types and to apply a problem solution method that matches that problem type. This review highlights two schema approaches for second‐ and third‐grade students at‐risk for or with LD: schema‐based instruction and schema‐broadening instruction. A total of 12 schema studies were reviewed and synthesized. Both types of schema approaches enhanced the word‐problem skill of students at‐risk for or with LD. Based on the review, suggestions are provided for incorporating word‐problem instruction using schemas.  相似文献   

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罗奇 《高教论坛》2014,(10):64-67
基于Polya"问题求解模式",得出"数学问题求解-提问-求解"模式,实验验证该模式的策略学习能够显著提高数学师范生问题解决能力。因此,建议教师在教学中注重"数学问题求解-提问-求解"模式的教学设计并加强针对数学师范生的问题提出策略教学技能训练。  相似文献   

16.
《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   

17.
A major impediment to problem solving in mathematics in the great majority of South African schools is that disadvantaged students from seriously impoverished learning environments are lacking in the necessary informal mathematical knowledge to develop their own strategies for solving non-routine problems. A randomized pretest–posttest control group design was used to empirically investigate the effectiveness of a strategies-based problem solving approach on the problem solving performance of 9th grade disadvantaged students. In this approach students receive explicit instruction on a wide repertoire of problem solving strategies. The results reported in this study show a significant improvement in problem solving performance when a strategies-based approach to problem solving was being implemented. Quantitative and qualitative analyses of the responses to the items showed how the treatment group students had internalized as part of their problem solving repertoire the strategies on which they had been explicitly instructed on. The findings of this study make a case for the adoption of this approach so that the gap between the student’s existing problem solving competence, and the cognitive demands of a problem solving task can be bridged.  相似文献   

18.
Abstract. The complex nature of written expression presents difficulty for many students, particularly those with learning disabilities (LD). The literature in the area of written expression and students with learning disabilities indicates that explicit, rule‐based instruction can enhance the writing skills of struggling students. Research in Direct Instruction (DI) writing programs is promising, but limited at this time to a small number of group design studies. The purpose of this study was to investigate the effects of the DI writing program, Expressive Writing, for high school students with learning disabilities using a single‐subject design methodology. Results indicated that the Expressive Writing program improved the writing skills of the students in this study. Students also were able to generalize and maintain the writing skills learned during intervention.  相似文献   

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A major challenge for education and educational research is to build on our present understanding of learning for designing environments for education that are conducive to fostering in students self-regulatory and cooperative learning skills, transferable knowledge, and a disposition toward competent thinking and problem solving. Taking into account inquiry-based knowledge on learning and recent instructional research, this article presents the CLIA-model (Competence, Learning, Intervention, Assessment) as a framework for the design of learning environments aimed to be powerful in eliciting in students learning processes that facilitate the acquisition of productive knowledge and competent learning and thinking skills. Next, two intervention studies are described that embody major components of this framework, one focussing on mathematical problem solving in primary school, and a second one relating to self-regulatory skills in university freshmen. Both studies were carried out in parallel with the development of the framework, and were instrumental in identifying and specifying the different components of the model. They yielded both promising initial support for the model by showing that CLIA-based learning environments are indeed powerful in facilitating in students the acquisition of high-literacy learning results, especially the acquisition and transfer of self-regulation skills for learning and problem solving.  相似文献   

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