Getting remedial mathematics students to prefer homework with 20% and 40% more problems: An investigation of the strength of the interspersing procedure

High school students in remedial mathematics classes were exposed to three pairs of mathematics computation assignments. Three of the assignments served as control assignments and contained 15 target problems (i.e., three‐digit by two‐digit multiplication problems). Students were also exposed to three paired experimental assignments that contained either 15 (0% more), 18 (20% more), or 21 (40% more) equivalent target problems. Each experimental assignment was also lengthened by interspersing additional one‐digit by one‐digit problems following every third target problem. After exposure to each pair of assignments, students reported which of the two assignments (control or experimental) would require the most time and effort to finish, which was most difficult, and which assignment they would prefer to do for homework. Across all three assignment pairs, significantly more students rated the experimental assignment more favorably for time, effort, and difficulty and chose the experimental assignment for homework. These results extend previous research on interspersing additional brief tasks by showing that this procedure has sufficient strength to get students to prefer homework assignments with 20% and 40% more target problems. © 2000 John Wiley & Sons, Inc.     

Increasing on‐task behavior during mathematics independent seat‐work in students with emotional disturbance by interspersing additional brief problems

Alternating treatments designs were used to compare on‐task levels in 4 students diagnosed as emotionally disturbed while working on control and experimental independent seat‐work mathematics assignments. Control and experimental assignments were similar except experimental assignments contained additional briefer mathematics problems interspersed following every third problem. Results showed greater on‐task levels while working on experimental assignments across 3 of the 4 students. Discussion focuses on problem completion being a conditioned reinforcer and applying this theory to prevent and remedy academic and social‐behavior problems in students with behavior disorders. © 2002 John Wiley & Sons, Inc.     

Extending research on the interspersal procedure to perceptions of continuous reading assignments: Applied and theoretical implications of a failure to replicate

Researchers have shown that students' perceptions of mathematics assignments could be improved by interspersing additional briefer, easier problems (e.g., Logan and Skinner, 1998). The current study was designed to extend this research to reading tasks. Seventh‐grade students read out loud both a control passage and a similar experimental passage that contained additional interspersed brief (i.e., 16 words), easy (i.e., first‐grade reading level) paragraphs. Students then selected the passage that would require the least effort to read and the least time to read. Students also indicated the passage they liked most (preference) and the passage that they would like to read again (choice). Significantly more students selected the control passage as requiring less time to read, but no differences were found for preference, choice, or effort selections. The results failed to confirm earlier research on the interspersal procedure, thus our findings have applied and theoretical implications regarding causal variables that may account for the effectiveness of the interspersal procedure. Specifically, the current study suggests that the interspersal procedure may improve assignment perception only when the procedure increases discrete task‐completion rates. © 2001 John Wiley & Sons, Inc.     

From nationwide standardized testing to school‐based alternative embedded assessment in Israel: Students' performance in the matriculation 2000 project

Matriculation 2000 was a 5‐year project aimed at moving from the nationwide traditional examination system in Israel to a school‐based alternative embedded assessment. Encompassing 22 high schools from various communities in the country, the Project aimed at fostering deep understanding, higher‐order thinking skills, and students' engagement in learning through alternative teaching and embedded assessment methods. This article describes research conducted during the fifth year of the Project at 2 experimental and 2 control schools. The research objective was to investigate students' learning outcomes in chemistry and biology in the Matriculation 2000 Project. The assumption was that alternative embedded assessment has some effect on students' performance. The experimental students scored significantly higher than their control group peers on low‐level assignments and more so on assignments that required higher‐order thinking skills. The findings indicate that given adequate support and teachers' consent and collaboration, schools can transfer from nationwide or statewide standardized testing to school‐based alter‐native embedded assessment. © 2003 Wiley Periodicals, Inc. J Res Sci Teach 40: 34–52, 2003     

Effects of interspersing rates on students performance on and preferences for mathematics assignments: Testing the discrete task completion hypothesis

The current study investigated the discreet task completion hypothesis presented by C. H. Skinner (2002) by investigating how the rate of interspersing affects performance on and preferences for academic assignments. Specifically, 70 sixth‐, seventh‐, and eighth‐grade students were presented with four assignment pairs of multiplication problems. Each pair consisted of a control assignment (i.e., no interspersing) and an experimental assignment (i.e., interspersing) that interspersed at one of four rates (i.e., no interspersing, every other problem, every third problem, or every fifth problem). After working on each assignment pair, assignment acceptability was measured. Results indicated that although students completed the same number of target problems with the same level of accuracy within assignment pairs, total problem completion rates were affected by the rate of interspersing. In addition, students' acceptability of the assignments was strongly related to the discrepancy in total problems completed across assignment types within assignment pairs. Discussion focuses on predicting students' preferences for academic assignments, implications for practitioners, and directions for future research. © 2007 Wiley Periodicals, Inc.     

The consequences of “school improvement”: Examining the association between two standardized assessments measuring school improvement and student science achievement

For more than half a century concerns about the ability of American students to compete in a global workplace focused policymakers' attention on improving school performance generally, and student achievement in science, technology, engineering, and mathematics (STEM) specifically. In its most recent form—No Child Left Behind—there is evidence this focus led to a repurposing of instructional time to dedicate more attention to tested subjects. While this meant a narrowing of the curriculum to focus on English and mathematics at the elementary level, the effects on high school curricula have been less clear and generally absent from the research literature. In this study, we sought to explore the relationship between school improvement efforts and student achievement in science and thus explore the intersection of school reform and STEM policies. We used school‐level data on state standardized test scores in English and math to identify schools as either improving or declining over three consecutive years. We then compared the science achievement of students from these schools as measured by the ACT Science exams. Our findings from three consecutive cohorts, including thousands of high school students who attended 12th grade in 2008, 2009, and 2010 indicate that students attending improving schools identified by state administered standardized tests generally performed no better on a widely administered college entrance exam with tests in science, math and English. In 2010, students from schools identified as improving in English scored nearly one‐half of a point lower than their peers from declining schools on both the ACT Science and Math exams. We discuss various interpretations and implications of these results and suggest areas for future research. © 2012 Wiley Periodicals, Inc. J Res Sci Teach 49: 804–830, 2012     

Differences in the Mathematics‐Vocabulary Knowledge of Fifth‐Grade Students With and Without Learning Difficulties

The purpose of this pilot study was to explore the impact of mathematics and reading learning difficulties on the mathematics‐vocabulary understanding of fifth‐grade students. Students (n = 114) completed three measures: mathematics computation, general vocabulary, and mathematics vocabulary. Based on performance on the mathematics computation and general vocabulary measures, students were categorized with no learning difficulty (i.e., typical), mathematics difficulty without reading difficulty (MD‐only), reading difficulty without mathematics difficulty (RD‐only), and combined mathematics and reading difficulties (MDRD). On the mathematics‐vocabulary measure, students with MD‐only or RD‐only scored significantly lower than typical students, and students with MDRD demonstrated significantly lower performance than students with MD‐only or RD‐only.     

Another look at the “C” in CBM: Does it really matter if curriculum‐based measurement reading probes are curriculum‐based?

This study investigated differences between two types of reading probe material to monitor students' oral reading fluency over time. Thirty‐six second‐grade students participated in this study. Twice each week for 5 weeks, participants read two passages from each of two sources. One source was the curriculum in which the child was being instructed at school, and the second source was the “Tests of Reading Fluency,” a set of generic (curriculum‐independent) passages. Standardized curriculum‐based measurement administration and scoring procedures were used. Level and rate of improvement (slope) of oral reading fluency were the dependent measures. Level and slope data were analyzed using two, two‐tailed t‐tests. Also, readability of passages was calculated using two readability formulas. Correlational analyses were used to examine the relation between the readability and reading fluency. Correlations among readability and words read correct were not significant. Results of the analyses examining level and slope indicated that students read significantly more words correct in the generic reading passages than in the curriculum‐based passages. However, rate of progress was not significantly different. These results suggest that practitioners could use either set of passages to gauge students' reading progress over time. Implications for future research and practice are discussed. © 2001 John Wiley & Sons, Inc.     

The relationship of intelligence,self‐concept and locus of control to school achievement for Aboriginal and non‐Aboriginal Children

This research examines variables related to the school achievement of Aboriginal and non‐Aboriginal students. Thirty‐five indigenous students and fifty‐eight non‐Aboriginals in Grade eight completed a Coopersmith Self‐Esteem Inventory and the Intellectual Responsibility Questionnaire. These scores, together with information on intellectual ability, school achievement on teacher‐made English and mathematics tests, sex, school and ethnic origin, were entered in a multiple regression equation. No difference between the two groups emerged on scores of self‐esteem and locus of control. However, the predictors of achievement for each group differed significantly. Intellectual ability was the best predictor of achievement for non‐Aboriginals, while locus of control was the most important predictor for the indigenous group. Results are discussed in relation to recent research and classroom implications.     

Review of Single Subject Research Examining the Effectiveness of Interventions for At‐Risk English Learners

We review published single subject design (SSD) studies that examine the effects of interventions for English learners at‐risk or with learning disabilities. Results of our literature search yielded 10 studies, five in reading, one in reading and behavior, and four in mathematics that met our inclusion criteria. Seven studies targeted Spanish‐speaking English learners, and three studies included students who spoke other languages than English and/or English only students. Two studies in mathematics included native language instruction. Six studies included English learners in second grade and above, and one study included high school students. We were able to calculate effect sizes (Hedges g) for eight of the 10 studies. Findings indicated a significant effect of the intervention for 12 of the 18 dependent variables measured. SSD methodology has the potential to help researchers and practitioners better understand what interventions work for English learners, and under what circumstances.     

Multidimensional analysis system for quantitative chemistry problems: Symbol,macro, micro,and process aspects

There is a consensus regarding the fact that students encounter difficulties in understanding scientific concepts, such as the particulate nature of matter, the mole, and the interpretation of chemical symbols. Researchers and practitioners have been looking for teaching methods to improve students' understanding of quantitative chemistry and their ability to solve related problems. This study describes the Multidimensional Analysis System (MAS), an approach to constructing, classifying, and analyzing quantitative chemistry problems. MAS enables classification based on complexity and transformation levels of a quantitative problem. We define three transformation levels: symbol ? macro, symbol ? micro, and symbol ? process. Applying this framework to teaching and research, we investigated the relationships between MAS‐classified chemistry problems and student achievement in solving these problems. The research population, 241 high school chemistry students, studied problem solving according to MAS for 9 weeks; the control group studied the same topic for the same duration in the traditional way. Student achievement was sorted by mathematics level and gender. We found that the success rate of the entire student population in solving these problems decreased as the problem difficulty increased. Experimental group students scored significantly higher than their control group peers. The improvement in student achievement was significantly dependent on the pretest score and the mathematics level, and independent of gender. Students who studied mathematics in the basic level benefited significantly more from MAS‐based teaching than their peers, whose mathematics level was advanced. Based on the research findings, we recommend applying the multidimensional analysis approach while teaching quantitative problems in chemistry. © 2003 Wiley Periodicals, Inc. J Res Sci Teach 40: 278–302, 2003     

Tarzan helps to find dyslexics: a pseudo‐word test

A pseudo‐word test called Tarzan will be presented and standard scores for high school‐aged students between 16 and 18 will be suggested. The test uses E. R. Burroughs' text, in which pseudo‐words are added in order to study phonological coding and, through that, possible dyslexia. Girls performed better on the test and their scores correlated well with existing standardised tests. The test is easy and quick to perform and can be a tool for teachers when diagnosing reading problems. However, it cannot be used alone; several and diverse tests are needed.     

Early identification and interventions for students with mathematics difficulties

This article highlights key findings from the small body of research on mathematics difficulties (MD) relevant to early identification and early intervention. The research demonstrates that (a) for many children, mathematics difficulties are not stable over time; (b) the presence of reading difficulties seems related to slower progress in many aspects of mathematics; (c) almost all students with MD demonstrate problems with accurate and automatic retrieval of basic arithmetic combinations, such as 6 + 3. The following measures appear to be valid and reliable indicators of potential MD in kindergartners: (a) magnitude comparison (i.e., knowing which digit in a pair is larger), (b) sophistication of counting strategies, (c) fluent identification of numbers, and (d) working memory (as evidenced by reverse digit span). These are discussed in terms of the components of number sense. Implications for early intervention strategies are explored.     

A Meta‐Analysis of Research on the Read Aloud Accommodation

Read aloud is a testing accommodation that has been studied by many researchers, and its use on K‐12 assessments continues to be debated because of its potential to change the measured construct or unfairly increase test scores. This study is a summary of quantitative research on the read aloud accommodation. Previous studies contributed information to compute average effect sizes for students with disabilities, students without disabilities, and the difference between groups for reading and mathematics using a random effects meta‐analytic approach. Results suggest that (1) effect sizes are larger for reading than for math for both student groups, (2) the read aloud accommodation increases reading test scores for both groups, but more so for students with disabilities, and (3) mathematics scores gains due to the read aloud accommodation are small for both students with and without disabilities, on average. There was some evidence to suggest larger effects in elementary school relative to middle and high school and possible mode effects, but more studies are needed within levels of the moderator variables to conduct statistical tests.     

Social support in inclusive middle schools: Perceptions of youth with learning disabilities

This cross‐sectional study examined the perceptions of social support reported by middle‐school students with multiple learning disabilities (LD) (reading + math) in inclusive settings. Comparison groups included youths with a learning disability in reading only (RD), mathematics only (MD), and no LD (i.e., normally achieving) (NA). One hundred twenty middle‐school students, 15 boys and 15 girls in each group, were included in the current study. Participants were surveyed using an established measure of perceived social support. Effect size differences and MANOVA were used in the data analyses. Learning disability type explained 21% ( p < .001) of the variance in perceptions of parent, classmate, and friend support. Students with multiple LD (RD + MD) reported the lowest perceived social support on these dependent variables. Follow‐up analyses revealed that eighth‐grade boys reported the lowest perceived parent support and that boys in general reported lower perceived friend support than girls. Sixth‐grade students with multiple LD reported the lowest perceived friend support, and sixth‐grade males reported the lowest perceived teacher support. Implications for practicing school psychologists and recommendations for future research are discussed. © 2006 Wiley Periodicals, Inc. Psychol Schs 43: 197–209, 2006.     

The effects of explicit timing on middle‐school students’ writing production across 5‐ and 15‐min sessions

Enhancing rates of accurate, active, academic responding can enhance learning. Both temporal manipulations (i.e., reducing time to work on assignments) and providing multiple distributed temporal cues (MDTC), sometimes referred to as explicit timing, have been shown to enhance rates of accurate mathematics responding. The current study was designed to evaluate the effects of session length (i.e., 5 vs. 15 min to write) and temporal cues (i.e., a single initial temporal cue vs. MDTC) on seventh‐ and eighth‐grade students writing assignment rates and writing accuracy. Results showed that the 5 min writing sessions did result in significantly greater rates of accurate responding than the 15 min sessions; however, explicit timing did not significantly alter writing rates or accuracy. These findings suggest that educators can enhance rates of accurate writing by reducing writing session lengths. Discussion focuses on applied implications of providing briefer writing sessions and future research investigating the interaction between multiple temporal cues and assignments.     

Improving Latino,English language learners' reading fluency: The effects of small‐group and one‐on‐one intervention

Reading fluency is a critical yet commonly neglected component of early reading instruction. For the large percentage of English language learners (ELLs) who are struggling with or at risk for reading difficulties, there is insufficient research available to help educators implement time‐efficient interventions with these students. Using an experimental design common in field‐based research, the purpose of this study was to evaluate the differential effects of a one‐on‐one (1/1) and small‐group (SG) reading fluency intervention, both implemented with Spanish‐speaking ELLs. Using three forms of data‐analytic strategies (visual analysis, standard error of measurement, and randomization tests), results showed that nearly all students benefitted from the 1/1 intervention, and two students clearly benefitted from the SG intervention. Standardized reading assessments also demonstrated the positive impact of students receiving the interventions. Implications of these findings are primarily discussed with respect to school‐based practice. © 2011 Wiley Periodicals, Inc.     

Improving seventh grade students’ learning of ratio and proportion: The role of schema-based instruction

The present study evaluated the effectiveness of an instructional intervention (schema-based instruction, SBI) that was designed to meet the diverse needs of middle school students by addressing the research literatures from both special education and mathematics education. Specifically, SBI emphasizes the role of the mathematical structure of problems and also provides students with a heuristic to aid and self-monitor problem solving. Further, SBI addresses well-articulated problem solving strategies and supports flexible use of the strategies based on the problem situation. One hundred forty eight seventh-grade students and their teachers participated in a 10-day intervention on learning to solve ratio and proportion word problems, with classrooms randomly assigned to SBI or a control condition. Results suggested that students in SBI treatment classes outperformed students in control classes on a problem solving measure, both at posttest and on a delayed posttest administered 4 months later. However, the two groups’ performance was comparable on a state standardized mathematics achievement test.