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1.
Two studies were conducted to examine the effects of Tier 2 and Tier 3 mathematics interventions on students with mathematics learning difficulties. In the first study, the work of Bryant et al. was replicated and expanded upon by documenting the sustained effects of a Tier 2 mathematics intervention on mathematics performance by second graders. In the second study, the Tier 2 intervention was intensified to a Tier 3 intervention through increases in two instructional features: group size and dosage. The results of the first study showed that the Tier 2 intervention improved mathematics performance for the majority of student participated in the study, and the effect of the intervention was sustained for the majority of students who responded to the Tier 2 intervention. The results of the second study showed that intensified Tier 3 intervention that involved one‐on‐one instruction and extended time for daily lessons may benefit students who have persistent difficulties with learning mathematics.  相似文献   

2.
Students who demonstrate persistent mathematics difficulties and whose performance is severely below grade level require intensive intervention. Intensive intervention is an individualized approach to instruction that is more demanding and concentrated than Tier 2 intervention efforts. We present the elements of intensive intervention that teachers should consider when planning for, implementing, and monitoring intensive intervention in mathematics. Each of these elements is based on evidence from validated interventions. We also highlight strategies for intensifying instruction. We provide two examples of intensive intervention, one of which launches from a Tier 2 intervention platform and the other which is completely generated by a teacher. We conclude with considerations for intensive intervention in mathematics.  相似文献   

3.
This study explored mathematics anxiety in a longitudinal sample of 113 children followed from second to third grade. We examined how mathematics anxiety related to different types of mathematical performance concurrently and longitudinally and whether the relations between mathematics anxiety and mathematical performance differed as a function of working memory. Concurrent analyses indicated that mathematics anxiety represents a unique source of individual differences in children’s calculation skills and mathematical applications, but not in children’s geometric reasoning. Furthermore, we found that higher levels of mathematics anxiety in second grade predicted lower gains in children’s mathematical applications between second and third grade, but only for children with higher levels of working memory. Overall, our results indicate that mathematics anxiety is an important construct to consider when examining sources of individual differences in young children’s mathematical performance. Furthermore, our findings suggest that mathematics anxiety may affect how some children use working memory resources to learn mathematical applications.  相似文献   

4.
ABSTRACT

This study examined the efficacy of a kindergarten mathematics intervention program, ROOTS, focused on developing whole-number understanding in the areas of counting and cardinality and operations and algebraic thinking for students at risk in mathematics. The study utilized a randomized block design with students within classrooms randomly assigned to treatment or control conditions. Measures of mathematics achievement were collected in the fall (pretest) and spring (posttest) in kindergarten and in the winter of first grade (delayed posttest). Significant differences between conditions favoring treatment students were found on four of six measures at posttest. Treatment students reduced the achievement gap with their not-at-risk peers. No effect was found on follow-up first-grade achievement scores. Implications for Tier 2 mathematics instruction in a Response to Intervention model are discussed.  相似文献   

5.
This study investigated whether mathematics education based on a multi-tiered response to intervention (RTI) model can support students' arithmetic competence in primary schools in Sweden. The intent was to identify and support students at risk of failure. In this study, 113 students participated in the intervention, and 30 students participated in the control group. Both groups were followed from Grade 1 to the end of Grade 2 and compared. During the first semester in Grade 1, all students were taught basic addition and subtraction with explicit instructions in Tier 1. Those who did not respond to Tier 1 after one semester were provided support within Tier 2 during the second semester. The same was repeated in grade 2 and the students that did not respond to Tier 2 were supported within Tier 3. At the end of Grade 2, students in the intervention group performed significantly higher on the basic arithmetic competence in the number range 1–9 than the control group. No significant difference was found in a test measuring basic arithmetic competence in the number range 10–19. This study shows that using multi-tiered RTI might be sufficient to identify and support students at risk in early arithmetic competence.  相似文献   

6.
ABSTRACT

In Tanzania, many people are not aware of the concept of learning disabilities. Parents and teachers often do not realise that children who do poorly in school and do not have visible disabilities, could still have a disability that is causing their poor school performance. This paper presents the results of a research and service project to identify and support students with mild disabilities in an inclusive school in Tanzania during the three-year pilot process. An international NGO implemented a culturally-relevant, curriculum-based assessment for screening grade 1 students with potential delays or disabilities and provided Tier 2 interventions through small group lessons. In this three-year study, 413 students were screened, 108 students received Tier 2 services and six students received Tier 3 services. Students in Tier 2 received small group instruction in mathematics and literacy as a pull-out programme. Students in Tier 3 attended a special school for children with disabilities. Results showed that students who received Tier 2 intervention made statistically significant gains in their assessment scores after six and twelve months of services. This study demonstrated one successful assessment and intervention model in a typical Tanzanian school to support young children with disabilities to improve their academic outcomes.  相似文献   

7.
The link between mathematics anxiety and mathematical performance in young children remains inconclusive. The present study examined the longitudinal associations between mathematics anxiety and mathematical performance (calculation and story problem solving) in 246 Chinese children followed from second to third grade. Multiple regression analyses showed that mathematics anxiety made independent contributions to mathematical performance beyond non-verbal intelligence, working memory, number skills, general and test anxieties. However, mathematics anxiety does not affect all children and all kinds of mathematical performance equally. Mathematics anxiety has a more pronounced impact on mathematical problems that require more processing resources, as opposed to simple arithmetic problems and straightforward story problems and children who are higher in working memory are more vulnerable to its deleterious impacts.  相似文献   

8.
Tier 3 interventions are necessary for improving the reading performance of students who fail to respond adequately to Tier 1 general education instruction and Tier 2 supplemental reading intervention. In this pilot study, we identified 8 students in 3rd and 4th grade who had demonstrated slow response to Tier 2 reading interventions for three years. Students participated in a researcher‐developed Tier 3 intervention for 8 weeks that focused on skill development in word analysis, word identification, and reading rate. In the 6 months prior to Tier 3, students were making minimal growth in reading; however, during Tier 3, the 8 students demonstrated strong growth on measures of word identification and reading rate. Although results are promising for poor readers who are difficult to remediate, several aspects of the Tier 3 intervention need further testing.  相似文献   

9.
Evidence-based practice is highly appreciated and demanded in the field of education, especially in relation to extra support provided for children struggling with learning. Currently, there is a lack of intervention studies in the area of mathematics. This study aimed to investigate the effects of a short mathematics intervention programme on second graders (Mage?=?8?years, 2?months) with low performance in mathematics, in a quasi-experimental, intervention-control setting. A group of low-performing second graders (LOWi, n?=?11) was taught twice a week for eight weeks on the mathematics topics of number word sequence skills, counting skills and conceptual place value knowledge. The intervention’s effectiveness was examined by comparing the mathematics performance of the LOWi group to those of two groups consisting of low performing (LOWc, n?=?13) and typically performing children (TYPc, n?=?64), who followed their business-as-usual mathematics instruction. The LOWi group made significant improvements in mathematics but did not show significantly better gains, compared to the LOWc and TYPc groups, immediately and three months after the intervention. We discuss the implications for educational practice and intervention research.  相似文献   

10.
探索干预对提升数学学习困难学生数学学业表现的有效性及其调节因素.通过系统检索文献获得纳入符合标准的30篇文献,应用CMA2.0软件进行元分析,并检验被试特征、干预方案、干预目标、干预方法的调节效应.随机效应模型表明数学干预对数困生数学表现的合并效应量Hedges'g为0.438(p<0.001),对数困生干预效果呈中等...  相似文献   

11.
This single-case meta-analysis is the first to provide a quantitative synthesis of the published literature on mathematics word problem-solving intervention studies for English learners with learning disabilities and mathematics difficulties. A total of ten single-subject studies were included for analysis. The current study investigated the magnitude of the effect of mathematics interventions targeting the improvement of students’ mathematics word problem-solving performance, and analyzed variables that moderated this effect. Results indicate a moderate overall effect size of 0.81 (95% CI [0.71, 0.90]) on word problem-solving performance for English learners with learning disabilities and mathematics difficulties. Moderator variables such as the implementer of the interventions, instructional focus, and word problem-solving content significantly moderated the mathematics intervention effects.  相似文献   

12.
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   

13.
The results of an exploratory study into measurement of elementary mathematics ability are presented. The focus is on the abilities involved in solving standard computation problems on the one hand and problems presented in a realistic context on the other. The objectives were to assess to what extent these abilities are shared or distinct, and the extent to which students' language level plays a differential role in these abilities. Data from a sample of over 2,000 students from first, second, and third grade in the Netherlands were analyzed in a multidimensional item response theory (IRT) framework. The latent correlation between the two ability dimensions (computational skills and applied mathematics problem solving) ranged from .81 in grade 1 to .87 in grade 3, indicating that the ability dimensions are highly correlated but still distinct. Moreover, students' language level had differential effects on the two mathematical abilities: Effects were larger on applied problem solving than on computational skills. The implications of these findings for measurement practices in the field of elementary mathematics are discussed.  相似文献   

14.
Responsiveness to intervention (RTI) is an innovative approach to the identification of learning disabilities (LD). The central assumption is that RTI can differentiate between two explanations for low achievement: poor instruction versus disability. If the child responds poorly to validated instruction, then the assessment eliminates instructional quality as a viable explanation for poor academic growth and instead provides evidence of a disability. For children who do respond nicely, RTI serves a critical prevention function. Most of RTI research has been focused on early reading. In this article, we describe two ongoing programs of research on RTI in the area of mathematics: one on a comprehensive mathematics curriculum at first grade and the other focused on word problems at third grade. For each research program, we describe the sample, explain how students are identified as at risk for mathematics disability, provide an overview of the interventions to which responsiveness is gauged, and describe some results to date.  相似文献   

15.
This study explored transactional associations among visuomotor integration, attention, fine motor coordination, and mathematics skills in a diverse sample of one hundred thirty‐five 5‐year‐olds (kindergarteners) and one hundred nineteen 6‐year‐olds (first graders) in the United States who were followed over the course of 2 school years. Associations were dynamic, with more reciprocal transactions occurring in kindergarten than in the later grades. Specifically, visuomotor integration and mathematics exhibited ongoing reciprocity in kindergarten and first grade, attention contributed to mathematics in kindergarten and first grade, mathematics contributed to attention across the kindergarten year only, and fine motor coordination contributed to mathematics indirectly, through visuomotor integration, across kindergarten and first grade. Implications of examining the hierarchical interrelations among processes underlying the development of children's mathematics skills are discussed.  相似文献   

16.
abstract

This randomized controlled trial examined effects of the MyTeachingPartner-Math/Science intervention on the quality and quantity of teachers’ mathematics and science instruction, and children’s mathematics and science outcomes in 140 pre-kindergarten classrooms. Teachers participated in the intervention for two years with consecutive cohorts of children. Results from Year 1 are considered experimental, however due to high levels of attrition, results from Year 2 are considered quasi-experimental. Across both years, intervention teachers exhibited higher quality and quantity of instruction. In Year 1, there were no significant effects of the intervention on children’s outcomes. In Year 2, children in intervention classrooms made greater gains in teachers’ ratings of mathematics and science skills and performed better on a spring assessment of science skills. These results have implications for designing and evaluating professional development aimed at supporting children’s mathematics and science knowledge and skills.  相似文献   

17.
We present first-grade, second-grade, and third-grade impacts for a first-grade intervention targeting the conceptual and procedural bases that support arithmetic. At-risk students (average age at pretest = 6.5) were randomly assigned to three conditions: a control group (n = 224) and two variants of the intervention (same conceptual instruction but different forms of practice: speeded [n = 211] vs. nonspeeded [n = 204]). Impacts on all first-grade content outcomes were significant and positive, but no follow-up impacts were significant. Many intervention children achieved average mathematics achievement at the end of third grade, and prior math and reading assessment performance predicted which students will require sustained intervention. Finally, projecting impacts 2 years later based on nonexperimental estimates of effects of first-grade math skills overestimates long-term intervention effects.  相似文献   

18.
This formative study of a multiplicative reasoning (MR) intervention explored the intervention's potential for improving the ability of third-grade struggling students’ ability to reason with multiplicative concepts and procedures. The feasibility of the study was examined in a school setting before a randomized control trial was conducted. Students who scored between the 10th and 35th percentile on a district-administered math screening test received the MR intervention from their teachers. We developed intervention units to build a conceptual foundation in a student-centered approach to Tier 2 instruction that included opportunities for students to engage in critical thinking as they generalized big ideas, participated in classroom discourse, and modeled multiplicative relationships with multiple representations. Preliminary data demonstrate the potential of the intervention to promote students’ MR skills. Instructional implications are discussed in terms of opportunities for these students to engage in grade-level mathematics content.  相似文献   

19.
20.
While mathematics instruction for very young children needs to be age-appropriate in format and content, it also needs to prepare children conceptually for the kinds of mathematics learning that will be expected of them in future years. This perspective, informed by the work of Russian psychologists and educators on a measurement-based approach to early mathematics instruction [e.g., V.V. Davydov, Children’s Capacity for Learning Mathematics, National Council of Teachers of Mathematics, Reston, VA, pp. 109–205], was the basis for an experimental mathematics curriculum which focused on the concept of unit as it applies to enumeration, measurement, and the identification of relations among geometric shapes. The curriculum particularly emphasized two ideas about units that derive from a measurement perspective: first, that the numerical result we obtain from counting or other measurement operations will depend on our choice of a unit; and second, that units of one kind can be combined to form higher-order units or taken apart to form lower-order ones. The curriculum included a weekly project activity conducted by the Head Start teachers, suggestions for supplementary activities, and a weekly home activity for a parent or other family member to carry out with the child. It was implemented with children in three Head Start centers (N=46; age range 2 years, 9 months–4 years, 7 months at the beginning of the program). To evaluate the curriculum, two assessment instruments (the mathematics subscale of the DSC and a supplementary instrument constructed especially for this study) were administered, at the beginning and again at the end of the school year, to these children and to two comparison groups. One comparison group (N=48; age range 2 years, 6 months–4 years, 7 months) received a literacy intervention rather than a mathematics one; the other (N=29; age range 2 years, 8 months–4 years, 7 months) did not receive any experimental intervention. Results showed significant, albeit modest, positive effects of the intervention. The importance of reexamining current beliefs about what is possible—and desirable—within a preschool mathematics curriculum is emphasized.  相似文献   

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