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In this article, the authors consider the power and limitations of responsiveness-to-intervention (RTI) for reducing the need for ongoing and intensive services for the segment of the school population traditionally identified as having a learning disability in mathematics. To assess the robustness of RTI, the authors describe four studies with strong demonstrations of efficacy, as they considered the percentage of students who failed to respond, the post-tutoring achievement gap between tutored and not-at-risk students, and the extent of transfer across components of the mathematics curriculum. The authors then discuss implications and additional research questions pertaining to mathematics intervention generally and within the context of RTI. They conclude with a proposal for an expanded conceptualization of RTI. 相似文献
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Gerber MM 《Journal of learning disabilities》2005,38(6):516-524
In this paper I comment on recent recommendations that students' responsiveness to instruction (RTI) provides a basis for identification of students as learning disabled. I repeat an earlier argument (Gerber & Semmel, 1985) that teachers embedded in schools are naturally variable in their capacity to respond to differences in students' response to instruction. This fact continues to be the only logical empirical foundation for the construct of learning disability. I describe a theoretical model of instructional tolerance that indicates why standardized protocol RTI strategies, specifically, cannot be achieved at desirable scale without incurring enormous costs. 相似文献
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Flipped instruction, in which information typically conveyed through in-class lectures is delivered remotely through video or text, is being used increasingly by teachers at all levels. However, there is little research documenting how elementary teachers think about, plan for, and use flipped instruction. In this article, we use data from interviews, class observations, and an analysis of instructional videos to describe an elementary mathematics specialists' efforts to incorporate flipped instruction for mathematics in her fifth grade class. We use this case to highlight how a knowledgeable teacher might use flipped instruction to enhance her teaching, and also describe potential challenges. 相似文献
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During the past decade, responsiveness to intervention (RTI) has become popular among many practitioners as a means of transforming schooling into a multilevel prevention system. Popularity aside, its successful implementation requires ambitious intent, a comprehensive structure, and coordinated service delivery. An effective RTI also depends on building-based personnel with specialized expertise at all levels of the prevention system. Most agree on both its potential for strengthening schooling and its heavy demand on practitioners. In this article, we describe Smart RTI, which we define as making efficient use of school resources while maximizing students' opportunities for success. In light of findings from recent research, we discuss three important features of Smart RTI: (a) multistage screening to identify risk, (b) multistage assessment to determine appropriate levels of instruction, and (c) a role for special education that supports prevention. 相似文献
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Deborah L. Butler Beverly Beckingham Helen J. Novak Lauscher 《Learning disabilities research & practice》2005,20(3):156-174
Abstract. This article presents three in‐depth case studies focused on supporting students with learning challenges to learn math strategically. Participants were three eighth‐grade students enrolled in a learning assistance classroom who were of at least average intelligence but who were performing significantly below grade level in mathematics. These case studies document the processes by which these students were supported to self‐regulate their learning in mathematics more effectively. We begin by outlining important instructional foci in mathematics education for intermediate or secondary students with learning disabilities, along with what research indicates are effective instructional processes. In that context, we introduce the theoretical principles underlying the instructional model used here—Strategic Content Learning (SCL). Based on analyses of case study data, we describe how SCL instruction was structured to promote strategic learning. Throughout the discussion, intervention processes are described in sufficient detail to be of use to practitioners. 相似文献
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Denton CA 《Journal of learning disabilities》2012,45(3):232-243
The purpose of this article is to describe the current research base and identify research needs related to response to intervention (RTI) frameworks in primary-grade reading. Research is reviewed on early reading instruction and intervention, the implementation of multitiered reading interventions, and the determination of intervention responsiveness. Areas identified as in need of research include (a) the conditions under which early reading interventions are most effective in RTI contexts, (b) multitiered interventions for students with limited English proficiency, (c) reading instruction for students who make limited progress in Tier 3 intensive interventions, (d) criteria for determining intervention responsiveness, and (e) the effects of fully implemented RTI frameworks. Although RTI research may be expensive and difficult to implement, it may contribute to improved reading outcomes for many students who are otherwise at risk of serious negative life consequences. 相似文献
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Rajiv Satsangi Rachel Hammer Christina D. Hogan 《Learning disabilities research & practice》2019,34(1):35-46
As classrooms begin to adopt a greater number of digital technologies such as computers and tablets, it is important for educators to understand how effective such tools can be in aiding in the delivery of instruction to students who struggle in mathematics, such as those identified with a learning disability in mathematics. One digital‐based instructional strategy with a limited research base for students with a learning disability is video modeling. Through a single subject alternating treatments design, this study compared the use of video modeling to face‐to‐face explicit instruction for teaching geometry word problems to three secondary students with a learning disability in mathematics. Across 10 sessions of intervention, all three students demonstrated improved performance on all dependent variables with both interventions, while the explicit instruction condition produced slightly greater accuracy scores for two of the three students. The results and their implications for the field of mathematics are discussed. 相似文献
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Al Otaiba S Folsom JS Schatschneider C Wanzek J Greulich L Meadows J Li Z Connor CM 《Exceptional children》2011,77(4):453-470
Many schools are beginning to implement multi-tier response to intervention (RTI) models for the prevention of reading difficulties and to assist in the identification of students with learning disabilities (LD). The present study was part of our larger ongoing longitudinal RTI investigation within the Florida Learning Disabilities Center grant. This study used a longitudinal correlational design, conducted in 7 ethnically and socio-economically diverse schools. We observed reading instruction in 20 classrooms, examined response rates to kindergarten Tier 1 instruction, and predicted students' first grade reading performance based upon kindergarten growth and end of year reading performance (n = 203). Teachers followed an explicit core reading program and overall, classroom instruction was rated as effective. Results indicate that controlling for students' end of kindergarten reading, their growth across kindergarten on a variety of language and literacy measures suppressed predictions of first grade performance. Specifically, the steeper the students' trajectory to a satisfactory outcome, the less likely they were to demonstrate good performance in first grade. Implications for future research and RTI implementation are discussed. 相似文献
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阅读困难是学习困难研究中最受关注的一个领域,对整个学习困难研究领域具有重要影响。对阅读困难的有效诊断是阅读困难的研究和干预的基础。在阅读困难的诊断中,曾经广泛应用的智力—成就差异标准与模式在有效性、敏感性以及对干预的指导意义等方面存在严重不足,受到越来越多研究者和实践者的屏弃。目前,核心技能缺陷和干预—应答两类诊断标准和模式日益受到关注和采纳。我国迄今较少系统研究阅读困难的诊断标准与模式,不过,有关汉语阅读困难的初步研究鉴别出语音缺陷、快速命名缺陷和语素技能缺陷,为发展和应用核心技能标准和模式提供了重要基础,也为建立干预—应答模式提供了参考。确立汉语阅读困难诊断的核心技能与干预—应答标准与模式还有待系统和深入的研究。 相似文献
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Compton DL Gilbert JK Jenkins JR Fuchs D Fuchs LS Cho E Barquero LA Bouton B 《Journal of learning disabilities》2012,45(3):204-216
Response-to-intervention (RTI) approaches to disability identification are meant to put an end to the so-called wait-to-fail requirement associated with IQ discrepancy. However, in an unfortunate irony, there is a group of children who wait to fail in RTI frameworks. That is, they must fail both general classroom instruction (Tier 1) and small-group intervention (Tier 2) before becoming eligible for the most intensive intervention (Tier 3). The purpose of this article was to determine how to predict accurately which at-risk children will be unresponsive to Tiers 1 and 2, thereby allowing unresponsive children to move directly from Tier 1 to Tier 3. As part of an efficacy study of a multitier RTI approach to prevention and identification of reading disabilities (RD), 129 first-grade children who were unresponsive to classroom reading instruction were randomly assigned to 14 weeks of small-group, Tier 2 intervention. Nonresponders to this instruction (n = 33) were identified using local norms on first-grade word identification fluency growth linked to a distal outcome of RD at the end of second grade. Logistic regression models were used to predict membership in responder and nonresponder groups. Predictors were entered as blocks of data from least to most difficult to obtain: universal screening data, Tier 1 response data, norm referenced tests, and Tier 2 response data. Tier 2 response data were not necessary to classify students as responders and nonresponders to Tier 2 instruction, suggesting that some children can be accurately identified as eligible for Tier 3 intervention using only Tier 1 data, thereby avoiding prolonged periods of failure to instruction. 相似文献
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Randall J. Souviney 《Educational Studies in Mathematics》1983,14(2):183-212
A case study was conducted of mathematics instruction at five sites in Papua New Guinea. Trial instructional materials were developed, teachers received inservice training and implementation was carefully monitored for a six-week period. English and mathematics achievement instruments and eight measures of cognitive development were administered to a sample of 201 students in grades two, four and six. Mathematics and language achievement varied significantly among the five sites. Students at all grade levels exhibited poor application of problem solving skills while showing computation, measurement and mathematical language abilities superior to results previously reported. English reading and measures of conservation and classification competence were highly correlated with mathematics achievement. Correlations between memory measures and mathematics achievement decreased from grade two to grade six while correlations between measures of language and cognitive development and mathematics achievement tended to increase. The results indicated that the non-consumable student textbooks ameliorated to some extent the problems associated with non-native language instruction for the students involved in the study. It was concluded that locally developed textbooks with an appropriate language load would enhance mathematics learning, particularly in remote-rural areas where current teaching conditions and lack of materials interact with poor English skills to create an imbalance in achievement. 相似文献
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In this introduction to this special issue, "A Decade Later," we provide an overview of the accomplishments as well as the persistent questions surrounding RTI. We organize this discussion within 3 categories: assessment, instruction, and policy. Within each of these sections, we also highlight how the articles in the present special issue expand upon the key issues. Developed initially for the early grades (kindergarten through third grade) and primarily in the area of reading, many-although not all-of these issues speak to the expansion of RTI to address a broader set of academic content areas and the full range of grade levels. 相似文献
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Douglas Fuchs Donald L. Compton Lynn S. Fuchs Joan Bryant G. Nicole Davis 《Reading and writing》2008,21(4):413-436
Responsiveness-to-intervention (RTI) is a method for both preventing and helping to identify learning disabilities. An important feature is its multi-tier structure: primary intervention (tier 1) refers to classroom instruction; secondary intervention (tier 2) usually involves more intensive pullout, small-group instruction; and tertiary intervention (tier 3) typically denotes most intensive special education. Despite RTI’s popularity and promise, there are many questions about how to implement it effectively and efficiently. So, in 2001, the Office of Special Education Programs in the U.S. Department of Education funded the National Research Center on Learning Disabilities to conduct two large-scale, field-based, longitudinal, and experimental RTI studies. Both studies, one in reading and one in math, were conducted at first grade, with annual follow up for 3 years in the reading study and 2 years in the math study. This article summarizes findings from the reading study, which was designed to answer three basic questions about RTI’s pivotal secondary intervention: Who should participate in it? What instruction should be conducted to decrease the prevalence of reading disabilities? How should responsiveness and non-responsiveness be defined? 相似文献
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Jill L. Jacobi-Vessels E. Todd Brown Victoria J. Molfese Ahn Do 《Early Childhood Education Journal》2016,44(1):1-9
Attention to early childhood mathematics instructional strategies has sharpened due to the relatively poor mathematics performance of U.S. students in comparison to students from other countries and research evidence that early mathematics skills impact later achievement. Early Childhood counting skills form the foundation for subsequent mathematics learning. In this article, we discuss the milestones of counting development and examine preschool classroom mathematics observations through the lenses of two CLASS Dimensions, Concept Development and Instructional Learning Formats. Recommendations for effective instructional strategies around counting and suggestions for incorporating mathematics instruction into storybook reading are provided. 相似文献
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Bradley S. Witzel Cecil D. Mercer M. David Miller 《Learning disabilities research & practice》2003,18(2):121-131
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
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Chang-Hua Chen Michele D. Crockett Takayuki Namikawa Johndamaseni Zilimu Sun Hee Lee 《International Journal of Science and Mathematics Education》2012,10(3):553-579
In this qualitative case study, the researchers explored 3 8th grade teachers?? formative assessment practices as it occurred during their mathematics instruction at socioeconomic status (SES)-different schools in Taiwan. Instructionally embedded formative assessment we refer to as discourse-based assessment practice (DAP). In Taiwan, there is a large mathematics achievement gap among high SES and low SES and minority students in 8th grade. Addressing this issue at the level of classroom practice, we attempt to document teachers?? DAP using a parsimonious, but practical framework for analyzing classroom discourse in 23 lessons. For the purpose of this study, 3 lessons for each teacher are represented. The extended sequence (Mehan, 1979) was the primary unit of analysis, to which we applied our framework for illuminating and differentiating the teachers?? press for student understanding through questions and feedback. The analysis of the teacher??s instruction at the high SES indicated that it was more formative than the others, pressing for mathematical understanding. The 2 teachers at the low SES schools pressed for rote understanding, though there were qualitative differences between them. The findings raise more questions and implications for research and education policy. In Taiwan where there is scant research on classroom practices, DAP as an instructional improvement may be a starting point for educational improvement for all its students. 相似文献
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Evangelos N. Panagiotou 《Science & Education》2011,20(1):1-35
Many authors have discussed the question why we should use the history of mathematics to mathematics education. For example, Fauvel (For Learn Math, 11(2): 3–6, 1991) mentions at least fifteen arguments for applying the history of mathematics in teaching and learning mathematics. Knowing
how to introduce history into mathematics lessons is a more difficult step. We found, however, that only a limited number of
articles contain instructions on how to use the material, as opposed to numerous general articles suggesting the use of the
history of mathematics as a didactical tool. The present article focuses on converting the history of logarithms into material
appropriate for teaching students of 11th grade, without any knowledge of calculus. History uncovers that logarithms were
invented prior of the exponential function and shows that the logarithms are not an arbitrary product, as is the case when
we leap straight in the definition given in all modern textbooks, but they are a response to a problem. We describe step by
step the historical evolution of the concept, in a way appropriate for use in class, until the definition of the logarithm
as area under the hyperbola. Next, we present the formal development of the theory and define the exponential function. The
teaching sequence has been successfully undertaken in two high school classrooms. 相似文献
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Stephanie L. Knight Dawn Parker Whitney Zimmerman Atman Ikhlief 《Learning Environments Research》2014,17(1):29-47
Recently, Qatar established educational reform in charter (independent) schools focusing on curriculum standards, student-centred teaching, standards-based assessment, English as the language of instruction, and extensive professional development. A primary area of emphasis was the creation of student-centred mathematics and science classrooms characterised by inquiry and active student participation. The purpose of this study was to investigate differences in the learning environments of Qatari mathematics and science classrooms at two levels: in higher- and lower-performing Qatari schools implementing the recent Education for a New Era reform elements; and in classes of teachers who experienced professional development focused on student-centred teaching strategies and those who did not. Participants included teachers and students in 47 grade 3 and 4 mathematics and science classrooms. Classroom observations were conducted and student learning environment surveys were administered at the beginning and end of the semester. Results indicated low levels of student-centred instruction, despite significant improvement over time. Few differences by level of school performance or professional development participation existed. However, Personalisation emerged as a key learning environment variable related to teachers’ implementation of student-centred instruction. 相似文献