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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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Christine Pauli Kurt ReusserUrs Grob 《International Journal of Educational Research》2007,46(5):294-305
In mathematics instruction, can a teacher implement surface features of instruction that foster self-regulated learning as well as achieve quality at the deeper level of instruction, that is, focus on higher-order thinking, problem-solving, and mathematical modeling? An educational reform effort in Switzerland, which is based on constructivist and sociocultural theories of mathematics learning, targets both these dimensions: self-regulated learning and conceptual understanding. We examined the realization of the two dimensions in classroom instruction in a video-based study of 79 eighth-grade math classes using three kinds of data: videotapes of mathematics lessons, student and teacher questionnaires, and achievement tests. As to the surface level of instruction, teachers reported how frequently they provided opportunities for self-regulated learning. With regard to the deeper level of instruction, teachers reported how frequently they provided opportunities for independent problem solving. In addition, we examined the extent to which teachers’ pedagogical beliefs reflected a constructivist orientation. The results showed that teachers implemented the two dimensions relatively independently of one another. Teachers’ constructivist-oriented beliefs influenced only opportunities provided for independent problem solving and did not affect opportunities for self-regulated learning. Opportunities for self-regulated learning had a positive effect on students’ learning experience. Professional development should encourage teachers to take greater account of both surface-level and deeper-level (quality) features of instruction. 相似文献
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Juliet Baxter John Woodward Jill Voorhies Jennifer Wong 《Learning disabilities research & practice》2002,17(3):173-185
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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采用追踪研究设计,以小学生数学学习为例,考察新课程改革的实施效果。研究从学生对数学的基本理解与计算能力、复杂问题解决能力、数学交流与应用意识以及对数学学习的兴趣与数学素养三个方面,实证分析参加新课程与原课程两组学生之间的差异。结果表明,使用新课程的学生对数学的基本理解与计算能力从整体上表现较好,但不如使用原课程学生在此方面的优势明显;与使用原课程学生相比,使用新课程的学生在高层次思维能力方面表现出明显优势,新课程比较明显地提高了学生的复杂问题解决能力、数学表达与交流及应用意识;新课程提高了学生学习数学的兴趣,学生也形成了良好的数学素养。 相似文献
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Yujing Ni Qiong LiXiaoqing Li Zhong-Hua Zhang 《International Journal of Educational Research》2011,50(2):100-116
This study investigated curriculum influences on student mathematics achievement by following two groups of students from fifth to sixth grade that were taught either the reformed curriculum or the conventional curriculum. Analyses with three-level modeling were conducted to examine learning outcomes of the students who were assessed three times over a period of 18 months. Achievement was measured with regard to computation, routine problem solving, and complex problem solving. Affective aspects included self-reported interest in learning mathematics, classroom participation, views of the nature of mathematics, and views of learning mathematics. The results showed overall improved performance among all the students over the time on computation, routine problem solving, and complex problem solving but not on the affective measures. There were differentiated patterns of performance between the groups. On the initial assessment, the reform group performed better than the non-reform group on calculation, complex problem solving, and indicated higher interest in learning mathematics. The two groups did not differ on the other achievement and affective measures at the first time of assessment. There was no significant difference in growth rate between the groups on the cognitive and affective measures except that the non-reform group progressed at a faster pace on calculation. Therefore, the non-reform group outperformed the reform group on computation at the third (last) assessment. These results are discussed with respect to the possible influence of the curriculum on student learning. 相似文献
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Mathematics education and learning disabilities in Spain 总被引：1，自引：0，他引：1
In the first part of this article, we describe the basic objectives of the math curriculum in Spain as well as the basic contents, teacher resources, and obstacles perceived in mathematics instruction. Second, we briefly describe the concept of learning disabilities (LD) as they are currently defined in Spain. As stated in the recent educational reform, a student with LD is any student with special educational needs. The emphasis is placed on the educational resources that these students need in order to achieve the curricular objectives that correspond to their age group or grade. Third, we comment specifically on the educational services model and the evaluation and instructional procedures for students with math learning disabilities. Finally, we describe some lines of research that have appeared in the last few years in Spain that have led to the development of new evaluation and intervention procedures for students with LD in computation and problem solving. 相似文献
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Engagement in problem‐solving and mathematical discussion is critical for learning mathematics. This research review describes a gap in the literature surrounding engagement of students with Learning Disabilities in standards‐based mathematical classrooms. Taking a sociocultural view of engagement as participation in mathematical practices, this review found that students with LD were supported towards equal engagement in standards‐based mathematics through multi‐modal curriculum, consistent routines for problem‐solving, and teachers trained in Mathematical Knowledge for Teaching. Using this small set of studies (7), we identify the need to deepen the engagement of students with LD in mathematical problem‐solving and discussion. This review concludes with implications for teaching and learning. 相似文献
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Nonmanut Pongsakdi Eero Laakkonen Teija Laine Koen Veermans Minna M. Hannula-Sormunen Erno Lehtinen 《Scandinavian Journal of Educational Research》2019,63(2):179-197
A Word Problem Enrichment programme (WPE) has been found to increase student word problem solving performance when facing non-routine and application problems. However, it is unknown if the WPE has an impact on student beliefs about word problem solving and how the WPE works for students with different motivation in learning mathematics. This study investigated the impact of the WPE on student beliefs about word problem solving by using Latent Profile Analysis and Structural Equation Modelling to analyse relations among the different cognitive, motivation, and belief factors. A total of 170 fourth- and sixth-grade students from elementary schools participated. Results showed that the effects of WPE are various depending on students’ initial motivation level. The impacts of the WPE on student beliefs were found only in students with a low initial motivation level, while its impacts on student problem-solving performance were found only in students with a high initial motivation level. 相似文献
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This research analyses preservice teachers’ knowledge of fractions. Fractions are notoriously difficult for students to learn and for teachers to teach. Previous studies suggest that student learning of fractions may be limited by teacher understanding of fractions. If so, teacher education has a key role in solving the problem. We first reviewed literature regarding students’ knowledge of fractions. We did so because assessments of required content knowledge for teaching require review of the students’ understanding to determine the mathematics difficulties encountered by students. The preservice teachers were tested on their conceptual and procedural knowledge of fractions, and on their ability in explaining the rationale for a procedure or the conceptual meaning. The results revealed that preservice teachers’ knowledge of fractions indeed is limited and that last-year preservice teachers did not perform better than first-year preservice teachers. This research is situated within the broader domain of mathematical knowledge for teaching and suggests ways to improve instruction and student learning. 相似文献
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采用半结构式访谈和问卷调查深入探讨了1位专家型数学教师的数学观,数学学习观和数学教学观及其相关影响因素。本研究发现该专家型数学教师主要认为:(1)数学是培养学生思维和数学能力的载体,是源于生活和用于生活的,是学生学习、考试的一个科目;(2)学习数学需一定天赋,学生自主参与、归纳总结是数学学习最佳的方式,数学思维和分析解决问题的能力是学生数学学习的主要部分和应达到的水平之一;(3)数学教学的目标在于培养学生的数学思维、分析解决问题的能力,成功的数学教学应注重学生的参与和课后落实。中国传统文化、数学教育传统、新课程理念以及教师的工作环境等都对其观念系统有一定的影响。 相似文献
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ABSTRACTOver the past decades, there has been a significant increase in the use of computers and mobile devices in schools as part of mathematics instruction for students with learning disabilities (LD). The purpose of this synthesis was to provide a systematic review of the research on the effects of computer-assisted instruction (CAI) for both computers and mobile devices when teaching mathematics to students with LD. Twenty studies met the selection criteria that were published between 1980 and 2017. Findings revealed a wide range of effect sizes across the studies, but in general, the results represent a medium intervention effect and a large maintenance effect of using CAI for students with LD on their mathematics progress. In addition, findings revealed a relationship between the number of evidence-based instructional variables embedded in the CAI instruction and the effect on student performance. Overall, results indicated that well designed CAI with effective instructional variables should be considered as a promising intervention to support mathematics instruction for students with LD. 相似文献
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Emotions are central to how students experience mathematics, yet we know little about how specific instructional practices relate to students’ emotions in mathematics learning. We examined how dialogic instruction, a socially dynamic form of instruction, was associated with four learning emotions in mathematics: enjoyment, pride, anger, and boredom. We also examined whether these associations differed by student gender and prior mathematics achievement. The sample consisted of 1307 sixth through eighth grade students (51.6% female, 59.0% White, 30.8% African American, and 10.3% other race; 42.3% receive free/reduced price lunch) from 70 mathematics classrooms. Results indicated that teachers who used more dialogic mathematics instruction had students who reported more enjoyment and pride, and less anger and boredom. Males and low-achieving students reported more positive and fewer negative emotions with greater dialogic instruction compared to their female and high-achieving counterparts. 相似文献
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Student-centered instruction is featured in reforms that aim to improve excellence and equity in mathematics education. Although research on stereotype threat suggests that student-centered instruction may have differential effects on racial minority students, the relationship between student-centered mathematics instruction and student engagement remains understudied. This study examined the relationship between student-centered mathematics instruction and adolescents’ behavioral, cognitive, emotional, and social engagement in mathematics and whether the relationship differed by ethnicity. The authors used a multilevel path analysis with data from 3,883 sixth- to 12th-grade students (52.1% girls, 38.2% eligible for free/reduced lunch, 66.1% Caucasian, 23.8% African American, 7.2% multiracial, and 2.9% Asian American). The results showed that student-centered instruction was positively related to all dimensions of mathematics engagement. However, the positive association between student-centered mathematics instruction and student engagement was weaker for African American students. This study provides empirical evidence for the benefits of student-centered instruction while suggesting differential effects based on students’ ethnicity. 相似文献
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问题解决能力是数学教学的核心目标。数学教学是基于“问题解决学习”的教学,数学教学设计应当是问题式教学与问题式学习的对立统一关系的设计。“问题解决教学”重视从宏观上、整体上让学生把握数学学科的基本结构,倡导“整合认知,框架推进”,围绕“主题”进行教学设计,各个教学环节构成了一个完整的知识建构过程,在每一环节,各种教学模式可灵活选用。 相似文献
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This study developed a questionnaire composed of teaching-behavior items obtained from pioneering empirical studies, for measuring students’ perspectives on effective mathematics teaching. The questionnaire was used to survey 4514 high school students in Taiwan, where Western innovative mathematics instruction has been promoted since a curriculum reform in 1993. Exploratory factor analysis revealed factors contributing to how teachers should handle teaching materials, use representations and teaching methods, and guide problem solving. Ten factors were identified. Seven are rooted in traditional Chinese educational culture (e.g., detailed illustration in teaching problem solving), and three were influenced by Western culture (e.g., student active-learning activities in teaching methods). The findings show that teaching behaviors that either require a considerable amount of time or minimize use of time are relatively less favored, including learning in small groups or through games in the student active-learning activities factor and only providing important steps in the speedy lecture factor. 相似文献
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Marjorie Montague 《Learning disabilities research & practice》2007,22(1):75-83
Abstract The purpose of this article is to provide an overview of research‐based interventions that incorporate self‐regulation strategies to improve mathematics performance of students with learning disabilities (LD). Self‐regulation is a metacognitive function essential to academic success. Students with LD are notoriously poor at self‐regulation and must be taught explicitly to monitor and control their cognitive activities as they engage in academic tasks such as mathematical problem solving. This article describes intervention studies that use self‐regulation strategies to improve mathematics performance of students with LD at the elementary, middle, and secondary school levels. Several techniques to facilitate effective implementation of self‐regulation instruction in the classroom are presented. 相似文献
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A constructivist-oriented inservice program provided teachers of mathematics (K-12) with intensive two-week summer institutes and weekly classroom follow-up. Pre- and post-program data on student outcomes indicate that, along with transformations in the nature and quality of mathematics activity in the classroom, students' beliefs about learning mathematics changed and elementary students' attitudes toward mathematics improved. Although the instruction they now received focused more on conceptual understanding and less on computational skill, students' scores on standardized tests assessing routine knowledge were maintained.An earlier version of this paper appeared in R. Underhill (ed.),Proceedings of the Thirteenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
1, 43–49, Backsburg, VI. 相似文献
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The authors examined the relationships among teacher classroom practices, student motivation, and mathematics achievement in high school. The data for this study was drawn from the base-year data of High School Longitudinal Study of 2009. Structural equation modeling method was used to estimate the relationships among variables. The results indicate that conceptual teaching positively affected student mathematics achievement, whereas procedural emphasis in mathematics instruction had a negative effect. Teacher support influenced student mathematics achievement indirectly through students' mathematics self-efficacy, and also influenced students' interest in mathematics courses. Finally, students with higher levels of family socioeconomic status and prior achievement were more likely to have teachers who use conceptual teaching strategies. Students with higher prior achievement were also more likely to perceive higher levels of teacher support. The findings have theoretical and practical implications. 相似文献
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Rachel Lambert 《International Journal of Inclusive Education》2017,21(5):521-531
Understanding learning disabilities (LDs) as constructed through multiple cultural practices including discourse, this paper focuses on a Latino middle school student with a LD named Elijah. This study documents both the discourses and practices used to position Elijah as a mathematics learner, as well as his use of similar discourses as he constructs a complex set of self-understandings as a mathematics learner. Elijah is positioned by discourses that prioritise speed as an indicator of mathematical ability, as well as discourses that construct students with LD as having both intelligence and differences such as processing speed. An analysis of interview and observational data suggests that Elijah constructed a unique set of self-understandings as a mathematics learner. Like his sixth-grade special education teacher, Elijah seems to differentiate between knowledge and the performance of knowledge in school. He created a unique identity as both ‘fast’ and ‘slow’ in mathematics, rejecting the binary found in many mathematics classrooms. These findings suggest that multiple discourses circulate in schools about ability and disability in mathematics. 相似文献