Fraction Instruction for Students with Mathematics Disabilities: Comparing Two Teaching Sequences

Abstract. This study investigated the effects of teaching middle school students with mathematics disabilities equivalent fraction concepts and procedures using the concrete‐representational‐abstract (CRA) instructional sequence or the representational‐abstract (RA) instructional sequence. Twenty‐six students formed the CRA group, and 24 students formed the RA group. The two treatment groups received carefully sequenced instruction over 10 lessons. The only difference between the two treatment groups was that the CRA group used concrete manipulative devices for the first three lessons while the RA group used representational drawings. Analyses of the data indicated that students in both treatment groups improved overall in their understanding of fraction equivalency from pretest to posttest. On all achievement measures, students in the CRA group had overall higher mean scores than did students in the RA group. Implications for classroom instruction and suggestions for further research are discussed.     

Instruction of students with moderate and severe disabilities in elementary classrooms

Twelve students with low-incidence disabilities were observed in their kindergarten through third grade, general education classrooms. Frequency data were collected on the number of teaching opportunities delivered on the learning objectives reflected in the students’ Individual Education Programs, the individual who delivered the teaching opportunity, and the instructional context that was occurring at the time the teaching opportunity occurred. Results indicated that teaching opportunities on the learning objectives occurred at an overall rate per minute of 0.224 and 4 students received no teaching opportunities. The general education teacher and special education assistant delivered the most instruction in 1:1 instructional contexts. Results are discussed in relation to improving the quality of instruction when students with disabilities are included in general education classrooms.     

The effects of an interactive instructional strategy for enhancing reading comprehension and content area learning for students with learning disabilities

This study investigated the effectiveness of an interactive vocabulary instructional strategy, semantic-feature analysis (SFA), on the content area text comprehension of adolescents with learning disabilities. Prior to reading a social studies text, students in resource classes either completed a relationship chart as part of the SFA condition or used the dictionary to write definitions and sentences as part of the contrast condition. Passage comprehension was measured on a multiple-choice test consisting of two types of items, vocabulary and conceptual. Comprehension was measured immediately following teaching and again 6 months after teaching. Prior knowledge for the content of the passage served as a covariate. Results indicated that students in the SFA instructional condition had significantly greater measured comprehension immediately following and 6 months after initial teaching. These results are discussed in relation to concept-driven, interactive strategies for teaching content and facilitating text comprehension.     

Statement-Pie: a strategy to improve the paragraph writing skills of adolescents with learning disabilities

This study investigated the effects of teaching a metacognitive text structure strategy upon the paragraph writing skills of eighth-grade students with learning disabilities. The technique, called Statement-Pie (Hanau, 1974), teaches students to understand the relationship of supporting details to a main idea. Four students were taught to use an outline as a paragraph planning guide, which they then used to convert information into written expository paragraphs. All subjects reached instructional outcome criterion on the writing of comparison/contrast and sequence paragraphs. One week after reaching mastery in the special education classroom, students generalized their paragraph writing skills to other teachers and to different classrooms. The results of this investigation indicate that when provided with direct, intensive instruction in a text structure strategy, adolescents with learning disabilities can improve their skills in paragraph writing.     

Story grammar: effective literature instruction for high school students with learning disabilities

This study examined the effectiveness of an instructional strategy for teaching comprehension of literature to 8 high school students with learning disabilities. The strategy integrated recent advances in cognitive psychology with empirically derived principles of effective instruction. The texts included short stories from middle school and high school literature anthologies. A modified multiple baseline design was utilized. Results indicated improvements in the students' ability to answer questions based on the stories read.     

Instructional Settings in Science for Students with Disabilities: Implications for Teacher Education

Finding appropriate instructional settings in science for students with disabilities is challenging, and the range of services or placements used is currently unknown. This study identifies administrative structures, instructional settings, and special/general education teacher roles in teaching science to students with disabilities. A phone survey was conducted with special education coordinators of fifth graders in 137 districts in Texas. Survey data indicated that while nearly all districts reported special education settings for the instruction of science for students with disabilities, some districts provided only general education settings. Theoretical and practical implications for teacher preparation are discussed.     

Teaching students with LD to use diagrams to solve mathematical word problems

This study examined the effectiveness of instruction focused on teaching students with learning disabilities (LD) to solve 1- and 2-step word problems of varying types. Three students with LD in Grade 8 participated in the study. During the treatment, students received instruction in diagram generation and a strategy that incorporates diagrams as a part of the procedure to solve word problems. The results indicated that all students improved in the number of diagrams they used and in their ability to generate diagrams. Their word problem solving performance increased. Moreover, the students generated and used diagrams to solve other types of problems. Overall, the students were very satisfied with the instruction and would continue to use the diagrams and the strategy to solve word problems in other classroom settings.     

Co‐Teaching in Middle School Classrooms Under Routine Conditions: Does the Instructional Experience Differ for Students with Disabilities in Co‐Taught and Solo‐Taught Classes?

Co‐teaching is a popular strategy for implementing the inclusion of students with disabilities within secondary general education classrooms. However, we have little data regarding its effectiveness under routine conditions of educational practice. This study examined whether there was an “additive effect” of the special education teacher on the instructional experiences of students with disabilities as compared with the experiences of the same students taught by only the general education teacher under routine conditions. Observers used time sampling methods to document how students with disabilities spent their time in 11 middle school co‐taught classes. Statistically significant differences were found for targeted students in terms of general education teacher interaction and individual instruction. General education teachers spent significantly less time with students with disabilities when the special education teacher was present. In addition, students with disabilities received significantly more individual instruction when the special education teacher was present. However, these differences were of limited practical significance.     

Applying the Science of Learning to the Learning of Science: Newton’s Second Law of Motion

Science teaching and learning require knowledge about how learning takes place (cognition) and how learners interact with their surroundings (affective and sociocultural factors). The study reported on focussed on learning for understanding of Newton’s second law of motion from a cognitive perspective that takes social factors into account. A cognitive refinement instructional approach (CRIA) was used to organise and sequence learning activities, while students were engaged through inquiry and group work. Students’ real-life experiences were used as starting point of the learning sequence. The efficiency of the sequence was determined with the aid of the Force Concept Inventory (FCI) and complemented with the students’ reflections on the sequence, showing their epistemological preferences. The results indicated that a CRIA aided in constructing more coherent scientific knowledge and enhanced understanding, while reducing misconceptions on the topic. In their reflections, the students acknowledged that experiential and experimental evidence, as well as guided formation of a scientific explanatory framework, are foundational for a deeper understanding of the challenging topic.     

Promoting Success in High School World History: Peer Tutoring Versus Guided Notes

The purpose of this investigation was to compare qualitative and quantitative outcomes associated with peer tutoring versus teacher–directed guided notes in world history for secondary–level students with mild disabilities. Sixteen students with mild disabilities (15 of whom had learning disabilities) participated in a nine–week quarter of one of the two instructional conditions. The same special education teachers taught students during world history classes. Measures included pre– and posttests of reading fluency, comprehension strategies, and content tests, including end–of–chapter tests, cumulative–delayed–recall tests, and a delayed–recall end–of–year final exam covering the entire academic year. In addition, qualitative procedures were employed, including interviews of teachers and students regarding their instructional preferences. Findings indicated that students who participated in peer tutoring significantly outperformed those who participated in the guided–notes condition on content–area tests. No significant differences were obtained on oral–reading–fluency measures, but students in the tutoring condition performed significantly better at using a reading comprehension summarization strategy independently, and at remembering the strategy steps. Results of student interviews suggested that students responded positively overall to tutoring and guided notes, and provided specific relevant insights on each procedure. Students in the tutoring condition indicated that the time spent tutoring felt like one of the shortest academic quarters for them. Findings are discussed with respect to both benefits and challenges associated with implementing peer tutoring in high school special education content–area classes.     

Using a Self‐Advocacy Intervention on African American College Students’ Ability to Request Academic Accommodations

Due to an increase in enrollment of African American students with disabilities in postsecondary education, there is a need to identify strategies that may lead to improved transition and self‐advocacy skills for these students. These strategies include teaching students to request academic accommodations and to have an understanding of how their disability affects their academic learning. Therefore, the purpose of this article is to provide an in‐depth explanation of a self‐advocacy strategy that was used to teach three African American male college students how to request their academic accommodations. Results indicated this strategy may be a promising intervention for African American college students with disabilities.     

Relationships among Special Education Teachers' Knowledge,Instructional Practice and Students' Performance in Reading Fluency

The purpose of this study was to explore the relationships among (1) special education teachers’ knowledge for teaching reading fluency, (2) the specific instructional practices they used in fluency instruction, and (3) gains of students with specific learning disabilities (SLD) on a performance measure of oral reading fluency (ORF). Analyses based on multilevel linear modeling and analysis of covariance indicated that for 42 special education teachers teaching third, fourth, and fifth graders with SLD in intensive reading groups, teachers’ knowledge for teaching reading fluency predicted student gains on ORF measures, but did not predict their instructional practice. Furthermore, teacher practice did not predict student gains on ORF. Practical implications and future research are discussed.     

SOLO分类理论在物理教学设计中的应用

本文通过利用SOLO分类理论分析物理学习结果和物理教学目标,指出了物理学习结果和教学目标与SOLO理论对思维层次分类之间存在一定对应关系;在此基础上,以摩擦力教学为例,应用SOLO分类理论分析学习需要和学习任务、确定教学目标、选择教学方法,结果表明把SO-LO分类理论应用于教学设计不仅是可行的,而且为教学设计提供了科学的理论指导。     

Teaching abstract vocabulary with the keyword method: effects on recall and comprehension

Twenty-five adolescents with learning disabilities were randomly assigned to either a keyword mnemonic condition or an experimenter-directed rehearsal condition and were individually taught 16 difficult vocabulary words, including 8 concrete and 8 abstract words. After an instructional period, students were given a test of literal recall as well as a comprehension test of their ability to apply newly acquired vocabulary words in a different context. Results indicated that mnemonically trained students outperformed control students on both abstract and concrete words, and on recall tests as well as on comprehension tests. Implications for vocabulary instruction as well as theories of learning disabilities are discussed.     

Improving comprehension of expository text in students with LD: a research synthesis

This article summarizes the findings of research studies designed to improve the comprehension of expository text for students with learning disabilities. Twenty-nine studies were located that met the inclusion criteria. Interventions gleaned from the review were categorized as content enhancement (i.e., advance and graphic organizers, visual displays, mnemonic illustrations, and computer-assisted instruction) or cognitive strategy instruction (i.e., text structure, main idea identification, summarization, questioning, cognitive mapping, reciprocal teaching). Treatment outcomes are discussed in relation to the various instructional approaches, student characteristics (e.g., grade, IQ), instructional features (e.g., materials, treatment length), methodological features, strategy maintenance, and generalization components. Implications for classroom practice and future research directions are provided.     

Instructors’ willingness to provide instructional accommodations for students with disabilities in selected universities of Ethiopia

The purpose of this study was to examine instructors’ willingness to provide instructional accommodations for students with disabilities in universities. Questionnaire was distributed to a total of 252 instructors from four universities and quantitative data were generated. Then appropriate quantitative methods of data analysis were employed. The results indicated that the majority of instructors participated in this study found to have positive willingness to provide instructional accommodations. Concerning the relationship between instructors’ willingness and background variables, the result revealed that, a statistically significant mean score difference existed between groups of background variables like location of university, age, Special Needs Education course, teaching methodology training, awareness raising training on Inclusive Education and experience in teaching students with disabilities. Finally, using exploratory factor analysis, this study showed that there were four components or factors that represent the underlying constructs of willingness to provide instructional accommodations items.     

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.     

Effects of Computer-Assisted Instruction on the Mathematics Performance of Students with Learning Disabilities: A Synthesis of the Research

ABSTRACT

Over the past decades, there has been a significant increase in the use of computers and mobile devices in schools as part of mathematics instruction for students with learning disabilities (LD). The purpose of this synthesis was to provide a systematic review of the research on the effects of computer-assisted instruction (CAI) for both computers and mobile devices when teaching mathematics to students with LD. Twenty studies met the selection criteria that were published between 1980 and 2017. Findings revealed a wide range of effect sizes across the studies, but in general, the results represent a medium intervention effect and a large maintenance effect of using CAI for students with LD on their mathematics progress. In addition, findings revealed a relationship between the number of evidence-based instructional variables embedded in the CAI instruction and the effect on student performance. Overall, results indicated that well designed CAI with effective instructional variables should be considered as a promising intervention to support mathematics instruction for students with LD.