Math Is Not a Universal Language: Supporting Middle School Students with Learning Disabilities Using Explicit Vocabulary Instruction in Mathematics Classrooms

Middle school students with learning disabilities often struggle with reading and literacy skills, including vocabulary, and require support in content-area classes such as mathematics where weak vocabulary knowledge can negatively affect learning, achievement, and deep understanding. However, in general, middle school mathematics teachers do not receive training in literacy instruction, much less in explicit vocabulary instruction. Additionally, relatively few studies have examined content-area vocabulary instruction at the middle or secondary school level. This study addressed these gaps in the research by examining the effect of a performance feedback and coaching intervention on middle school mathematics teachers’ use of explicit mathematics vocabulary instruction. Results of the study indicate that performance feedback and coaching had moderately positive effects on teachers’ use and quality of explicit mathematics vocabulary instruction.     

Designing for culturally responsive science education through professional development

Educational stakeholders across the globe are demanding science education reform that attends simultaneously to culturally diverse students’ needs and promotes academic excellence. Although professional development programs can foster science teachers’ growth as culturally responsive educators, effective supports to this end are not well identified. This study examined associations between specific Science Teachers are Responsive to Students (STARTS) program activities and United States high school life science teachers’ understanding and enactment of culturally responsive science teaching. Findings suggest: (a) critically examining their practices while learning of students’ needs and experiences enabled teachers to identify responsive instructional strategies and relevant science topics for culturally responsive teaching; (b) evaluating culturally responsive exemplars while identifying classroom-based needs allowed teachers to identify contextually appropriate instruction, thereby yielding a robust understanding of the purpose and feasibility of culturally responsive science teaching; and (c) by justifying the use of responsive and reform-based instructional strategies for their classrooms, teachers made purposeful connections between students’ experiences and science instruction. We propose a set of empirically based design conjectures and theoretical conjectures to generate adaptable knowledge about preparing culturally responsive science teachers through professional development.     

Culturally Relevant Assessment and Support of Grade 1 Students with Mild Disabilities in Tanzania: An Exploratory Study

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.     

Self‐Regulation and Mathematics Instruction

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.     

Culturally Appropriate Context: Unlocking the Potential of Response to Intervention for English Language Learners

The number of young children whose home language is not English continues to increase every year in the United States. Challenges for English language learners (ELL) involve low academic achievement related to low expectations and inappropriate instruction, and inappropriate assessment instruments or procedures resulting in overrepresentation of ELL students in higher incidence disabilities. In addition, the lack of effective instructional strategies for teaching ELL students often lead to behavioral problems and poor social interaction skills. The purpose of this article is to examine the learning context of young ELLs relative to culturally and linguistically responsive intervention. Components and potentials of response to intervention model were investigated. Essential factors involved in culturally and linguistically responsive intervention were identified. Finally, challenges in preparing culturally appropriate context were discussed.     

Culturally Responsive Mathematics Teaching: A Research Synthesis

The purpose of this article is to synthesize empirical research conducted on culturally responsive mathematics teaching (CRMT) with culturally and linguistically diverse (CLD) learners. Thirty-five published studies between 1993 and 2018 met the criteria for inclusion in this review. Criteria included: (a) the study was published in a peer-reviewed journal, (b) the study was conducted within a K-12 U.S. public school context with practicing teachers, (c) culturally responsive teaching or culturally relevant pedagogy was part of the study’s theoretical framework, and (d) information about methods was reported. Findings reveal the value of CRMT in fostering equitable and inclusive mathematics learning environments. More research on CRMT with CLD students in school settings is warranted. Implications for policy, practice, and research are discussed.

     

Culturally familiar tasks on reading performance and self-efficacy of culturally and linguistically diverse students

Grounded in the theoretical frameworks of constructivism and social cognitive theory, this study examined utilising culturally responsive pedagogy through a Latino themed reading task with the intention of increasing reading achievement and reading self-efficacy beliefs for culturally and linguistically diverse students. The research was conducted in an urban middle school in the south-western United States with 43 seventh grade students whose age ranged from 12 to 13 years. The majority of participants in this study reported to be Hispanic or multiracial with Hispanic origins. This study’s findings added to the existing knowledge base regarding the effectiveness of culturally responsive teaching practices. More specifically, culturally responsive pedagogy was utilised in the form of a reading task to examine its influence on students’ recall and reading comprehension performance. Furthermore, the findings of this study suggest that a culturally familiar reading task may increase reading self-efficacy beliefs. Implications for primary and secondary teachers, administrators, parents, and students pertain to the importance of utilising culturally responsive pedagogy as a teaching method to increase reading achievement and reading self-efficacy for culturally and linguistically diverse students.     

A Follow‐Up of Mathematics Interventions for Secondary Students with Learning Disabilities

Abstract This article extends a previous review of the literature ( Maccini & Hughes, 1997 ) on mathematics interventions for secondary school students with learning disabilities (LD). A systematic review of the literature from 1995 to 2006 yielded 23 articles that met the criteria for inclusion. It was determined that a number of practices demonstrated significant gains for secondary school students with LD in math, including mnemonic strategy instruction, graduated instructional approach, cognitive strategy instruction involving planning, schema‐based instruction, and contextualized videodisc instruction. We also discuss the nature and focus of math interventions and implications for both research and practice based on the findings.     

Examining IEPs of English Learners with Learning Disabilities for Cultural and Linguistic Responsiveness

Effective education of English learners (ELs) with learning disabilities requires special educators to deliver culturally/linguistically responsive instruction within the context of special services, embracing the interaction between exceptionality and diversity. A critical concept is the notion that cultural and linguistic features are mandated by law to remain integral to teaching and learning once ELs are appropriately placed for special services. We examined a sampling of IEPs for ELs receiving special education for learning disabilities for cultural/linguistic responsive features to inform instruction. We found from our pilot study that the IEPs contain little to no reference to ELs' diverse linguistic and cultural qualities to (1) meet legislative mandates, and (2) guide delivery of appropriate special education. Practitioner implications for developing culturally and linguistically responsive IEPs are provided to support educators who teach ELs with learning disabilities.     

Reorganizing the instructional reading components: could there be a better way to design remedial reading programs to maximize middle school students with reading disabilities’ response to treatment?

The primary purpose of this study was to explore if there could be a more beneficial method in organizing the individual instructional reading components (phonological decoding, spelling, fluency, and reading comprehension) within a remedial reading program to increase sensitivity to instruction for middle school students with reading disabilities (RD). Three different modules (Alternating, Integrated, and Additive) of the Reading Achievement Multi-Modular Program were implemented with 90 middle school (sixth to eighth grades) students with reading disabilities. Instruction occurred 45 min a day, 5 days a week, for 26 weeks, for approximately 97 h of remedial reading instruction. To assess gains, reading subtests of the Woodcock Johnson-III, the Gray Silent Reading Test, and Oral Reading Fluency passages were administered. Results showed that students in the Additive module outperformed students in the Alternating and Integrated modules on phonological decoding and spelling and students in the Integrated module on comprehension skills. Findings for the two oral reading fluency measures demonstrated a differential pattern of results across modules. Results are discussed in regards to the effect of the organization of each module on the responsiveness of middle school students with RD to instruction.     

Impacts of a university–school partnership on middle school students' fractional knowledge: A quasiexperimental study

In this quasiexperimental study, the authors investigated the effects of university within school partnership model, within which faculty members acted as teacher-researchers to improve fractional knowledge among middle school (Grades 5–8) students. Students in nine Grade 6 mathematics classes from two public middle schools in Turkey were assigned to two conditions: University within school model instruction and traditional instruction. Pre- and posttest data showed that the students exposed to instruction through the university within school partnership model significantly outperformed their traditional instruction peers on the fractions test. Results indicated that students made significant gains in fractional knowledge in the experimental classrooms and in different subgroup populations. It was suggested that a substantial amount of mathematical infusion through partnership could have a positive impact on middle school students' fractional knowledge. The educational implications of the study were also discussed.     

Cognitive Strategy Instruction for Mathematical Word Problem-solving of Students with Mathematics Disabilities in China

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.     

Teaching Students with Learning Disabilities to Cope in Middle School

The purpose of this article is to explore how to teach students with learning disabilities (LD) to cope effectively, so that they may develop self-determination (independence) skills in middle school. Teachers need to understand the definition of coping and what makes coping effective. They can then tailor instruction of students with LD with effective coping in mind. I describe the various ways in which the frame of instruction and specific methods can allow students with LD to cope effectively in school and hopefully, beyond it.     

The BIG Accommodation Model: The Direct Instruction Model for Secondary Schools

Research during the last 2 decades has found the BIG Accommodation Model to be successful in helping students with disabilities achieve rigorous academic standards in mainstream classrooms at the secondary level. This research project tested the effects of the BIG Accommodation Model in accelerating the learning of highly at-risk students in low-achieving secondary schools. The project began with 1 highly problematic middle school in Sacramento, CA and resulted in record gains for all ethnic groups, for English language learners, and for students performing at all levels in the areas of both language arts and mathematics. The project further established a professional development model that allowed for replication of success in other middle schools. Successful replication depends on the presence of three components: the curricular materials designed around "big ideas," electronic progress monitoring, and in-class coaching. The initial training model provides a particularly cost-efficient means for achieving high-quality implementations.     

The Role of Teacher Training in Cognitive Strategy Instruction to Improve Math Problem Solving

The purpose of this article is to offer teacher training and professional development recommendations in mathematics based on the findings of a federally funded 3‐year intervention study that improved the problem solving of middle school students with a focus on students with learning disabilities. Over the 3‐year project, 29 seventh and eighth grade teachers implemented a problem‐solving intervention based on cognitive strategy instruction. Though the intervention was successful in improving students’ problem‐solving performance, several issues related to teaching effectiveness and teacher training came to light. The article will: (1) describe the intervention and its implementation, (2) present the findings of the study, and (3) discuss the issues of effectiveness and possible solutions via teacher education and professional development.     

‘When I am being rushed it slows down my brain’: constructing self-understandings as a mathematics learner

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.     

The Impact of a State Performance-Based Assessment and Accountability Program on Mathematics Instruction and Student Learning: Evidence From Survey Data and School Performance

The purpose of this study was to examine the impact of the Maryland School Performance Assessment Program (MSPAP) and the Maryland Learning Outcomes (MLOs) on mathematics classroom instruction and assessment practices, professional development, and student learning. The data sources included questionnaires for principals, mathematics teachers, and students, as well as student performance on MSPAP over a 5-year period. Ninety elementary and middle schools in Maryland participated in the study. The results indicate that principals and teachers tended to support MSPAP as a tool for making changes in instruction, teachers were making some positive changes in mathematics instruction because of MSPAP (based on the questionnaire data), and the schools for which teachers reported that MSPAP had a greater impact on their mathematics instruction had greater MSPAP performance gains in mathematics over the 5 years.     

Culturally responsive pedagogy for African American students: promising programs and practices for enhanced academic performance

The academic outcomes for African American students continue to lag behind their White, Latino, and Asian American counterparts. Culturally responsive pedagogy has been purported to be an intervention that may help to reverse the persistent under performance for African American students. This article highlights findings from a three-year study of an intervention program designed to increase college going rates for African American students. The authors document the manner in which overall student outcomes, graduation rates, and college going rates increased when culturally responsive pedagogical practices were used. Finally, this work calls for academic rigor to be a more germane characteristic of the culturally responsive pedagogical framework.     

Effects of a peer-mediated phonological skill and reading comprehension program on reading skill acquisition for middle school students with reading disabilities

The purpose of this study was to examine the effect of a peer-mediated instructional approach on the teaching of phonological skills and reading comprehension for middle school (sixth- to eighth-grade) students with reading disabilities. All students (n = 38) were identified as having learning disabilities and reading at the third-grade level or below. One group was taught using a peer-mediated phonological skill program, Linguistics Skills Training (LST), and a peer-mediated reading comprehension program, Peer Assisted Learning Strategies (PALS). The contrast group was taught in the more traditional whole-class format using a widely implemented remedial reading program. The results showed significant differences between conditions, with students receiving the LST/PALS instruction outperforming the contrast group on Letter-Word Identification, Word Attack, and Passage Comprehension using the Woodcock-Johnson Test of Achievement-III. Furthermore, large effect sizes for growth were found on Letter-Word Identification, Word Attack, and Passage Comprehension for the LST/PALS treatment group. No differences were found between conditions for reading fluency. Findings are discussed in regard to instruction delivery format (peer tutoring vs. whole class) with respect to best practices for middle school students with reading disabilities.     

App-Based Manipulatives and Explicit Instruction to Support Division with Remainders

ABSTRACT

In theory, both virtual manipulatives and explicit instruction are viable options to support students with disabilities as they learn mathematics. This study explored the effect of a treatment package—an app-based virtual manipulative (Cuisenaire® Rods) in conjunction with explicit instruction—on students’ acquisition and generalization of solving problems involving division of whole numbers with remainders. Three middle school students with disabilities participated in this multiple baseline, multiple probe across participants single case design study. Each of the students acquired the mathematical behavior of being able to solve division with remainders problems. In other words, a functional relation existed between the intervention package of explicit instruction and the Cuisenaire® Rods app-based manipulative and students’ accuracy in solving division with remainders problems. Yet, two students failed to generalize the skill without the explicit instruction and use of the app-based manipulative.