Academic literature on the topic 'Learning disabled children Teaching teams. Mathematics'

This study examined perceptual differences in symmetry with and without a model between 21 learning disabled boys with reading deficits and 28 learning disabled boys with deficits in mathematics. 55 nonlearning disabled boys served as controls. All boys were in Grades 3, 4, or 5. Without a model, all learning disabled boys built significantly more asymmetrical building block designs than nonlearning disabled boys. However, with a model, all learning disabled boys could imitate the model, but it took them longer to complete the task successfully. All boys appeared to have difficulty in modeling asymmetrical tasks taking more time for task completion after seeing an asymmetrical model. This study suggests modeling perceptual tasks might be an effective teaching strategy for such children

Disabled students are capable of learning and growing equally to normal students, therefore the educational infrastructure of many developed countries is inclined towards an inclusive educational system. However, such students, unfortunately, are not treated well in developing countries where teachers’ attitudes are a key hindrance to an inclusive education system. This study assesses future faculty attitudes towards inclusive education in Qatari independent schools. A mixed population from Arabic studies, Islamic studies, English language, social studies, mathematics, and science sections of both primary and secondary programmes are selected from the College of Education at Qatar University. The Questionnaire of Attitudes towards Inclusion (QAI) is designed for populations of all genders and sections. Data are analysed statistically initially using the t-test and, later with descriptive statistics in SPSS software. The research findings suggests that future faculty show a positive attitude concerning with inclusive education. However, this attitude toward teaching special children varies which depends on the severity of disability and the nature. Further, teachers prefer to teach mild special children for instance those with learning disabilities. Additionally, the findings reveal no substantial differences in future faculty attitudes to special children in inclusive education with respect to gender or specialization. The study emphasizes the importance of academic and psychological preparation of teachers in Qatari independent schools to understand the nature of disability and motivate them to enhance their acceptance of children with disabilities. Keywords: Disabled students, inclusive education, Qatari independent schools, special education, teaching attitude

The students whose achievement lagged behind their intellectual potential presents a serious problem to the parents, society and finally to the nation; instead of being the contributing members they turn out to be social problem and get involved in the most common social malaise-student on rest. Describing groups who have average or above average intelligence continuously failing to maintain normal progress in school subjects as learning disabled students, the teacher education programs in western countries like U.S.A. and Europe started the identification, diagnosis and serve them since 1963. But in developing countries, for example, in Nepal and India, although the efforts are directed towards this direction, no the considerable progress has yet been observed. So the present investigation was concerned with the identification of the causes of primary school children learning disabilities in mathematics (CLDM). 58 LD boys and 46 LD girls from 29 rural and 15 urban schools situated in different parts of central region of Nepal participated in this study. The analysis of these 104 LD students' bio-data revealed that the factors related to the children with learning disabilities in mathematics were the poor instruction, parents' adverse behavior to them, teacher's negligence in the class. It was suggested that the quality of teaching strategies and quality of instruction in the schools must be improved. Further research is needed for the generalization of the findings throughout the nation. Tribhuvan University Journal 2004/1 pp. 13-19

The knowledge of the science of human body parts for early childhood is very important so that children have the ability to recognize and support the cleanliness and health of members of the body, as well as so that they recognize their identity. In addition, introducing environmentally friendly material for early childhood teachers to enrich learning media. This study aims to improve student learning outcomes in science using environmentally friendly media. The topic raised in this search was about recognizing body parts and their benefits and treatments. This type of research is action research. Respondents involved 19 early childhood students. The results showed that there was an increase in subjects' understanding of swallowing extremities and treatment 60% in the pre-cycle phase, 80% in the first cycle and 93% in the second cycle. The findings show that the use of happy body media has a positive effect on limb recognition. Further research is recommended on environmentally friendly media and ways of introducing limbs to early childhood through media or strategies suitable for the millennial era. Keywords: Media (Happy Body), Early Childhood Science, Human Body Parts References: Anagnou, E., & Fragoulis, I. (2014). The contribution of mentoring and action research to teachers’ professional development in the context of informal learning. Review of European Studies, 6(1), 133–142. Belsky, J., Steinberg, L., & Draper, P. (1991). Childhood experience, interpersonal development, and reproductive strategy: An evolutionary theory of socialization. Child Development, 62(4), 647. Black, M. M., & Hurley, K. M. (2016). Early child development programmes: further evidence for action. The Lancet Global Health, 4(8), e505–e506. Blok, H., Fukkink, R., Gebhardt, E., & Leseman, P. (2005). The relevance of delivery mode and other programme characteristics for the effectiveness of early childhood intervention. 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Young children’s understanding of pretense. Monographs of the Society for Research in Child Development, 58(1), 1–92. Hayati, H. S., Myrnawati, C. H., & Asmawi, M. (2017). Effect of Traditional Games, Learning Motivation And Learning Style On Childhoods Gross Motor Skills. International Journal of Education and Research, 5(7). Hedefalk, M., Almqvist, J., & Östman, L. (2015). Education for sustainable development in early childhood education: a review of the research literature. Environmental Education Research, 21(7), 975–990. https://doi.org/10.1080/13504622.2014.971716 Herakleioti, E., & Pantidos, P. (2016). The Contribution of the Human Body in Young Children’s Explanations About Shadow Formation. Research in Science Education, 46(1), 21–42. https://doi.org/10.1007/s11165-014-9458-2 İlin, G., Kutlu, Ö., & Kutluay, A. (2013). An Action Research: Using Videos for Teaching Grammar in an ESP Class. 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The first uncomfortable twinges started when I was a grad student, churning out my Master’s thesis on a laptop that I worked on at the library, in my bedroom, on the kitchen table, and at the coffee shop. By the last few months, typing was becoming uncomfortable for my arms, but as any thesis writer will tell you, your whole body is uncomfortable with the endless hours sitting, inputting, and revising. I didn’t think much of it until I moved on to a new city to start a PhD program. Now the burning that accompanied my essay-typing binges started to worry me more, especially since I noticed the twinges didn’t go away when I got up to chat with my roommate, or to go to bed. I finally mentioned the annoying arm to Sonja, a medical student friend of mine visiting me one afternoon. She asked me to pick up a chair in front of me, palms out. I did, and the attempt stabbed pain up my arm and through my elbow joint. The chair fell out of my hands. We looked at each other, eyebrows raised.Six months and much computer work later, I still hadn’t really addressed the issue. Who had time? Chasing mystery ailments around and more importantly, doing any less typing were not high on my likely list. But like the proverbial frog in slowly heated water, things had gotten much worse without my really acknowledging it. That is, until the day I got up from my laptop, stretched out and wandered into the kitchen to put some pasta on to boil. When the spaghetti was ready, I grabbed the pot to drain it and my right arm gave as if someone had just handed me a 200-pound weight. The pot, pasta and boiling water hit the floor with a scalding splash that nearly missed both me and the fleeing cat. Maybe there was a problem here.Both popular and critical understandings of the body have been in a great deal of flux over the past three or four decades as digital media technologies have become ever more pervasive and personal. Interfacing with the popular Internet, video games, mobile devices, wearable computing, and other new media technologies have prompted many to reflect on and reconsider what it means to be an embodied human being in an increasingly digitally determined era. As a result, the body, at various times in this recent history, has been theoretically disowned, disavowed, discarded, disdained, replaced, idealised, essentialised, hollowed out, re-occupied, dismembered, reconstituted, reclaimed and re-imagined in light of new media. Despite all of the angst over the relationships our embodied selves have had to digital media, of course, our embodied selves have endured. It remains true, that “even in the age of technosocial subjects, life is lived through bodies” (Stone 113).How we understand our embodiments and their entanglements with technologies matter deeply, moreover, for these understandings shape not only discourse around embodiment and media, but also the very bodies and media in question in very real ways. For example, a long-held tenet in both popular culture and academic work has been the notion that media technologies extend our bodies and our senses as technological prostheses. The idea here is that media technologies work like prostheses that extend the reach of our eyes, ears, voice, touch, and other bodily abilities through time and space, augmenting our abilities to experience and influence the world.Canadian media scholar Marshall McLuhan is one influential proponent of this notion, and claimed that, in fact, “the central purpose of all my work is to convey this message, that by understanding media as they extend man, we gain a measure of control over them” (McLuhan and Zingrone 265). Other more contemporary media scholars reflect on how “our prosthetic technological extensions enable us to amplify and extend ourselves in ways that profoundly affect the nature and scale of human communication” (Cleland 75), and suggest that a media technology such as one’s mobile device, can act “as a prosthesis that supports the individual in their interactions with the world” (Glitsos 161). Popular and commercial discourses also frequently make use of this idea, from the 1980’s AT&T ad campaign that nudged you to “Reach out and Touch Someone” via the telephone, to Texas Instruments’s claim in the 1990’s that their products were “Extending Your Reach”, to Nikon’s contemporary nudge to “See Much Further” with the prosthetic assistance of their cameras. The etymology of the term “prosthesis” reveals that the term evolves from Greek and Latin components that mean, roughly, “to add to”. The word was originally employed in the 16th century in a grammatical context to indicate “the addition of a letter or syllable to the beginning of a word”, and was adopted to describe “the replacement of defective or absent parts of the body by artificial substitutes” in the 1700’s. More recently the world “prosthesis” has come to be used to indicate more simply, “an artificial replacement for a part of the body” (OED Online). As we see in the use of the term over the past few decades, the meaning of the word continues to shift and is now often used to describe technological additions that don’t necessarily replace parts of the body, but augment and extend embodied capabilities in various ways. Technology as prosthesis is “a trope that has flourished in a recent and varied literature concerned with interrogating human-technology interfaces” (Jain 32), and now goes far beyond signifying the replacement of missing components. Although the prosthesis has “become somewhat of an all-purpose metaphor for interactions of body and technology” (Sun 16) and “a tempting theoretical gadget” (Jain 49), I contend that this metaphor is not often used particularly faithfully. Instead of invoking anything akin to the complex lived corporeal experiences and conundrums of prosthetic users, what we often get when it comes to metaphors of technology-as-prostheses is a fascination with the potential of technologies in seamlessly extending our bodies. This necessitates a fantasy version of both the body and its prostheses as interchangeable or extendable appendages to be unproblematically plugged and unplugged, modifying our capabilities and perceptions to our varying whims.Of course, a body seamlessly and infinitely extended by technological prostheses is really no body. This model forgoes actual lived bodies for a shiny but hollow amalgamation based on what I have termed the “disembodimyth” enabled by technological transcendence. By imagining our bodies as assemblages of optional appendages, it is not far of a leap to imagine opting out of our bodies altogether and using technological means to unfasten our consciousness from our corporeal parts. Alison Muri points out that this myth of imminent emancipation from our bodies via unity with technology is a view that has become “increasingly prominent in popular media and cultural studies” (74), despite or perhaps because of the fact that, due to global overpopulation and wasteful human environmental practices, “the human body has never before been so present, or so materially manifest at any time in the history of humanity”, rendering “contradictory, if not absurd, the extravagantly metaphorical claims over the past two decades of the human body’s disappearance or obsolescence due to technology” (75-76). In other words, it becomes increasingly difficult to speak seriously about the body being erased or escaped via technological prosthetics when those prosthetics, and our bodies themselves, continue to proliferate and contribute to the piling up of waste and pollution in the current Anthropocene. But whether they imply smooth couplings with alluring technologies, or uncoupling from the body altogether, these technology-as-prosthesis metaphors tell us very little about “prosthetic realities” (Sun 24). Actual prosthetic realities involve learning curves; pain, frustrations and triumphs; hard-earned remappings of mental models; and much experimentation and adaption on the part of both technology and user in order to function. In this vein, Vivian Sobchak has detailed the complex sensations and phenomenological effects that followed the amputation of her leg high above the knee, including the shifting presence of her “phantom limb” perceptions, the alignments, irritations, movements, and stabilities offered by her prosthetic leg, and her shifting senses of bodily integrity and body-image over time. An oversimplistic application of the prosthetic metaphor for our encounters with technology runs the risk of forgetting this wealth of experiences and instructive first-hand accounts from people who have been using therapeutic prosthetics as long as assistive devices have been conceived of, built, and used. Of course, prosthetics have long been employed not simply to aid function and mobility, but also to restore and prop up concepts of what a “whole,” “normal” body looks like, moves like, and includes as essential components. Prosthetics are employed, in many cases, to allow the user to “pass” as able-bodied in rendering their own technological presence invisible, in service of restoring an ableist notion of embodied normality. Scholars of Critical Disability Studies have pushed back against these ableist notions, in service of recognising the capacities of “the disabled body when it is understood not as a less than perfect form of the normative standard, but as figuring difference in a nonbinary sense” (Shildrick 14). Paralympian, actress, and model Aimee Mullins has lent her voice to this cause, publicly contesting the prioritisation of realistic, unobtrusive form in prosthetic design. In a TED talk entitled It’s Not Fair Having 12 Pairs of Legs, she showcases her collection of prosthetics, including “cheetah legs” designed for optimal running speed, transparent glass-like legs, ornately carved wooden legs, Barbie doll-inspired legs customised with high heel shoes, and beautiful, impractical jellyfish legs. In illustrating the functional, fashionable, and fantastical possibilities, she challenges prosthetic designers to embrace more poetry and whimsy, while urging us all to move “away from the need to replicate human-ness as the only aesthetic ideal” (Mullins). In this same light, Sarah S. Jain asks “how do body-prosthesis relays transform individual bodies as well as entire social notions about what a properly functioning physical body might be?” (39). In her exploration of how prostheses can be simultaneously wounding and enabling, Jain recounts Sigmund Freud’s struggle with his own palate replacement following surgery for throat cancer in 1923. His prosthesis allowed him to regain the ability to speak and eat, but also caused him significant pain. Nevertheless, his artificial palate had to be worn, or the tissue would shrink and necessitate additional painful procedures (Jain 31). Despite this fraught experience, Freud himself espoused the trope of technologically enhanced transcendence, pronouncing “Man has, as it were, become a prosthetic god. When he puts on all his auxiliary organs, he is truly magnificent.” However, he did add a qualification, perhaps reflective of his own experiences, by next noting, “but those organs have not grown on him and they still give him much trouble at times” (qtd. in Jain 31). This trouble is, I argue, important to remember and reclaim. It is also no less present in our interactions with our media prostheses. Many of our technological encounters with media come with unacknowledged discomforts, adjustments, lag, strain, ill-fitting defaults, and fatigue. From carpal tunnel syndrome to virtual reality vertigo, our interactions with media technologies are often marked by pain and “much trouble” in Freud’s sense. Computer Science and Cultural Studies scholar Phoebe Sengers opens a short piece titled Technological Prostheses: An Anecdote, by reflecting on how “we have reached the post-physical era. On the Internet, all that matters is our thoughts. The body is obsolete. At least, whoever designed my computer interface thought so.” She traces how concentrated interactions with computers during her graduate work led to intense tendonitis in her hands. Her doctor responded by handing her “a technological prosthesis, two black leather wrist braces” that allowed her to return to her keyboard to resume typing ten hours a day. Shortly after her assisted return to her computer, she developed severe tendonitis in her elbows and had to stop typing altogether. Her advisor also handed her a technological prosthesis, this time “a speech understanding system that would transcribe my words,” so that she could continue to work. Two days later she lost her voice. Ultimately she “learned that my body does not go away when I work. I learned to stop when it hurt […] and to refuse to behave as though my body was not there” (Sengers). My own experiences in grad school were similar in many ways to Sengers’s. Besides the pasta problem outlined above, my own computer interfacing injuries at that point in my career meant I could no longer turn keys in doors, use a screwdriver, lift weights, or play the guitar. I held a friend’s baby at Christmas that year and the pressure of the small body on my arm make me wince. My family doctor bent my arm around a little, then shrugging her shoulders, she signed me up for a nerve test. As a young neurologist proceeded to administer a series of electric shocks and stick pins into my arms in various places, I noticed she had an arm brace herself. She explained that she also had a repetitive strain injury aggravated by her work tasks. She pronounced mine an advanced repetitive strain injury involving both medial and lateral epicondylitis, and sent me home with recommendations for rest, ice and physiotherapy. Rest was a challenge: Like Sengers, I puzzled over how one might manage to be productive in academia without typing. I tried out some physiotherapy, with my arm connected to electrodes and currents coursing through my elbow until my arm contorted in bizarre ways involuntarily. I tried switching my mouse from my right side to my left, switching from typing to voice recognition software and switching from a laptop to a more ergonomic desktop setup. I tried herbal topical treatments, wearing an extremely ugly arm brace, doing yoga poses, and enduring chiropractic bone-cracking. I learned in talking with people around me at that time that repetitive strains of various kinds are surprisingly common conditions for academics and other computer-oriented occupations. I learned other things well worth learning in that painful process. In terms of my own writing and thinking about technology, I have even less tolerance for the idea of ephemeral, transcendent technological fusions between human and machine. Seductive slippages into a cyberspatial existence seem less sexy when bumping your body up against the very physical and unforgiving interface hurts more with each keystroke or mouse click. The experience has given me a chronic injury to manage carefully ever since, rationing my typing time and redoubling my commitment to practicing embodied theorising about technology, with attention to sensation, materiality, and the way joints (between bones or between computer and computant) can become points of inflammation. Although pain is rarely referenced in the myths of smooth human and technological incorporations, there is much to be learned in acknowledging and exploring the entry and exit wounds made when we interface with technology. The elbow, or wrist, or lower back, or mental health that gives out serves as an effective alarm, should it be ignored too long. If nothing else, like a crashed computer, a point of pain will break a flow of events typically taken for granted. Whether it is your screen or your pinky finger that unexpectedly freezes, a system collapse will prompt a step back to look with new perspective at the process you were engaged in. The lag, crash, break, gap, crack, or blister exposes the inherent imperfections in a system and offers up an invitation for reflection, critical engagement, and careful choice.One careful choice we could make would be a more critical engagement with technology-as-prosthesis by “re-membering” our jointedness with technologies. Of course, joints themselves are not distinct parts, but interesting articulated systems and relationships in the spaces in-between. Experiencing our jointedness with technologies involves recognising that this is not the smooth romantic union with technology that has so often been exalted. Instead, our technological articulations involve a range of pleasures and pain, flows and blockages, frictions and slippages, flexibilities and rigidities. I suggest that a new model for understanding technology and embodiment might employ “articulata” as a central figure, informed by the multiple meanings of articulation. At their simplest, articulata are hinged, jointed, plural beings, but they are also precarious things that move beyond a hollow collection of corporeal parts. The inspiration for an exploration of articulation as a metaphor in this way was planted by the work of Donna Haraway, and especially by her 1992 essay, “The Promises of Monsters: A Regenerative Politics for Inappropriate/d Others,” in which she touches briefly on articulation and its promise. Haraway suggests that “To articulate is to signify. It is to put things together, scary things, risky things, contingent things. I want to live in an articulate world. We articulate; therefore we are” (324). Following from Haraway’s work, this framework insists that bodies and technologies are not simply components cobbled together, but a set of relations that rework each other in complex and ongoing processes of articulation. The double-jointed meaning of articulation is particularly apt as inspiration for crafting a more nuanced understanding of embodiment, since articulation implies both physiology and communication. It is a term that can be used to explain physical jointedness and mobility, but also expressive specificities. We articulate a joint by exploring its range of motion and we articulate ideas by expressing them in words. In both senses we articulate and are articulated by our jointed nature. Instead of oversimplifying or idealising embodied relationships with prostheses and other technologies, we might conceive of them and experience them as part of a “joint project”, based on points of connexion that are not static, but dynamic, expressive, complex, contested, and sometimes uncomfortable. After all, as Shildrick reminds us, in addition to functioning as utilitarian material artifacts, “prostheses are rich in semiotic meaning and mark the site where the disordering ambiguity, and potential transgressions, of the interplay between the human, animal and machine cannot be occluded” (17). By encouraging the attentive embracing of these multiple meanings, disorderings, ambiguities, transgressions and interplays, my aim moving forward is to explore the ways in which we might all become more articulate about our articulations. After all, I too want to live in an articulate world.ReferencesAT&T. "AT&T Reach Out and Touch Someone Commercial – 1987." Advertisement. 13 Mar. 2014. 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The purpose of this study was to identify team development activities which occurred in public elementary schools during the implementation year of the Teacher Assistance Team (TAT) and determine if there were any significant differences between highly effective and less effective teams. The sample under study consisted of 42 elementary schools which were implementing the Teacher Assistance Team model during the 1983-84 school year. A questionnaire survey instrument was used to obtain information from the schools regarding team development activities. School staff were asked to respond to eight general areas thought to impact upon the adoption of the Teacher Assistance Team model in the school. These areas were level of service delivered, effectiveness of service delivered, personnel training, team membership, scheduling of meetings, principals' support strategies, technical assistance needs, and teacher reactions to the team process. Statistical analysis revealed the high and low service teams did not differ significantly in school enrollment, personnel trained, scheduling of team meetings, or 26 of the 27 support strategies employed by building principals. However, the analysis indicated significant differences between the high and low service levels. The high service teams operated for a larger proportion of the months possible; served a larger proportion of the student enrollment; and considered more cases per month and per team than did the low service teams. Additionally, the high service teams attempted to resolve a larger proportion of team development problems and actually resolved more problems than the low service teams. Building principals among the high service teams demonstrated more of a commitment to the team process by personally selecting team members and requiring that teachers experiencing learning or behavior problems in the classroom refer to the team for assistance. The results of this study hold implications for teachers and school administrators. Recommendations were developed enabling state and local educational agency personnel and building principals to increase the effectiveness of Teacher Assistance teams during the first year of the team's operation in the school. Future research is directed to address three outcomes of the team process. These are: referral and cost effectiveness; classroom intervention; and teacher satisfaction.

The purpose of this study was to investigate the effectiveness of two different methods of teaching learning disabled middle school students (6th, 7th, and 8th grades) how to solve one-step addition and subtraction mathematics story problems. This study also compared the generalization of the two instructional methods to problems written in simple syntax which required the performance of two mathematics operations, addition and subtraction, in order to obtain the correct written solution.Teachers were randomly assigned to one of the two instructional methods. The students in the experimental and control classrooms were administered the The Mathematics Computation Screeninq Test, the One-step Story Problem-Solving Test of Mathematics Reasoninq and the Two-step Story Problem-Solving Test of Mathematics Reasoninq. Students who obtained above 80% mastery on the The Mathematics Computation Screening Test and at or below 67% mastery on the pretest of the One-step Story Problem-Solving Test of Mathematics Reasoning were included in the experimental and control groups. Students in the experimental and control groups who meet the above criteria and were at or below the 60% mastery level on the pretest of the Two-step Storv Problem Solving Test of, Mathematics Reasoning were included in the analysis of two-step problems. There were 70 students who meet these criteria. Following administration of the tests, students received 17 days of instruction in one of the two instructional methods.Previous research has shown that good problem-solvers initially have a mental representation of a story problem prior to solving the problem and that accurate performance may be increased by teaching students to generate diagrammatic representations of the problems. Based on this research it was hypothesized that learning disabled students who receive instruction in generating diagrammatic representations would have a higher mean performance on a linear composite of writing number sentences and solving one-step addition and subtraction story problems than learning disabled students who did not receive this instruction when pretest performance on one-step written solutions was held constant. It was also hypothezied that when presented with two-step addition and subtraction story problems learning disabled students who receive instruction in how to generate diagrammatic representations for various one-step addition and subtraction story problems would have a higher mean performance than learning disabled students who do not receive this instruction when pretest one-step and two-step written solutions were held constant.A 2 X 2 X 2 X 2 hierarchical multivariate analysis of covariance mixed effects design followed by examination of step down F ratios was used to test the one-step hypotheses. Analysis of the data indicated no significant difference between the groups on number sentence writing and on solving one-step addition and subtraction story problems varying in syntactic complexity and position of the unknown term. The data did indicate a significant interaction between the within subject factors of syntax, position of the unknown term, and mathematics operation.A 2 X 2 hierarchical analysis of covariance design was used to test the hypotheses regarding generalization of the two instructional methods to two-step story problems of addition and subtraction. Analysis of the data indicated no significant difference between the problem-solving performance of students taught with the diagrammatic instructional method and those taught in the control group.
Department of Special Education

This study investigated whether a computer-administered mathematics test can provide equivalent results for normal and mathematically disabled students while retaining similar psychometric characteristics of an equivalent paper and pencil version of the test. The overall purpose of the study was twofold. First, the viability of using computer administered assessment with elementary school children was examined. Second, by investigating items on the computer administered mathematics test for potential bias between normally achieving and mathematically disabled populations, it was possible to determine whether certain mathematical concepts consistently distinguish between the two ability groups.

This project explored the Concrete to Representational to Abstract instruction (CRA instruction) as a strategy to teach abstract math concepts for secondary students with learning disabilities. Through the review of literature, multiple researchers suggested that students with learning disabilities need to be exposed to a variety of instructional strategies to develop problem solving skills in algebra concepts.

The Individuals With Disabilities Education Act (IDEA), implemented in 1997 and updated in 2004, requires all students, including students with disabilities, to participate in and make progress in the general education curriculum. Under IDEA, students with disabilities, including students with mathematics disability (MD), are entitled to be provided with adapted instruction using empirically validated instructional approaches to teaching mathematics, which can help them succeed in general education classrooms. However, there is limited knowledge about whether and in what ways instruction is adapted for students with MD and the degree to which students with MD have access to the standards-based mathematics general education curriculum adopted by today's mathematics education. Thus, the purpose of this case study was to examine (a) a fourth-grade teacher's instructional adaptations for 3 students with MD in a standards-based mathematics, general education classroom and (b) the mathematics learning of 6 fourth-grade students with differing levels of ability (3 students identified MD, 2 students struggling with mathematics, and 1 student without a disability) in a standards-based mathematics, general education classroom. An embedded, single case study design (Yin, 2003) was employed to provide exploratory and instrumental information about the research topics of this study. Data were collected through case study methods including direct observations, interviews, survey, and document reviews for 12 weeks, December 2005 through March 2006. Analyses of data involved a descriptive statistics as well as a qualitative case analysis using data display matrices to drive emergent themes (Miles & Huberman, 1994; Strauss & Corbin, 1997; Yin, 2003). Seven themes emerged from the findings of this study: Four on the fourthgrade teacher's instructional adaptations for her students with MD in the standardsbased mathematics, general education classroom and three on the learning of students with differing abilities in this environment. The findings of this study indicated that the teacher endeavored to adapt her mathematics instruction for 3 students with MD using diverse components of effective mathematics instruction in standards-based mathematics curriculum and instruction, but that her instructional adaptations were implemented very restrictively in terms of the number of students with MD whose difficulties were addressed and the types of difficulties addressed by the adaptations. Possible factors inhibiting the teacher's instructional adaptations included the number of students who were struggling with mathematics in her class, including 3 students with MD. On the other hand, the findings of this study indicated that the quality and the quantity of learning of mathematics knowledge and skills were different across students with differing ability in the standards-based mathematics, general education classroom in terms of prerequisite skills, problem-solving accuracy, concept or procedures for problem solutions, and transfer of knowledge and skills. All the students with differing ability benefited to some degree from standards-based mathematics instruction, but the benefits of students with MD from this instructional environment were marginal in comparison to the benefits of their peers without disabilities. Alternative instructional methods should continue to be explored to maximize the benefits of students with MD in standards-based mathematics, general education classrooms, including more frequent integration of varied types of components of effective mathematics instruction into standards-based mathematics instruction and considering the cognitive, behavioral characteristics of students with MD. Limitations of this study and implications of this study for practices and future research were discussed.
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This study identified factors related to solving mathematical word problems and then examined the differences in characteristics between students with low achievement in mathematics who were likely to have a learning disability and students with low achievement in mathematics who were unlikely to have a learning disability. Factoral analysis identified two significant factors: abstract thinking and long term retrieval from memory. Results indicated qualitative differences between sixth grade students with achievement in mathematics at or below the 25th percentile with indications of learning disabilities (MLD) and students with achievement in mathematics at or below the 25th percentile without an indication of a learning disability (Low Math/NLD). The Learning Disabilities Diagnostic Inventory, which measures intrinsic processing disorders indicative of learning disabilities, was used to differentiate between students with MLD (n = 13) and students with Low Math/NLD (n = 16). The Woodcock-Johnson III Tests of Achievement, Clinical Evaluation of Language Fundamentals-Fourth Edition, and the Informal Mathematics Assessment (IFA) were used to compare the two groups. In contrast to students with MLD, students with Low Math/NLD had a higher mathematical performance and had more difficulties with math fluency. When solving mathematics word problems on the IFA, a test composed of word problems, student interview, and error analysis, students with Low Math/NLD had more correct answers, more computational errors, and fewer translation errors than students with MLD did. Students with MLD had conceptual difficulties in the areas of analyzing, reasoning, and abstract thinking.