Using an item-specific predictor to test the dimensionality of the orthographic choice task.

The orthographic choice (OC) task-requiring individuals to choose the correct spelling between a word and a pseudohomophone foil (e.g., goat vs. gote)-has been used as an outcome measure of orthographic learning and as a predictor of individual differences in word reading development. Some consider the OC task a measure of orthographic knowledge (e.g., Conrad, Harris, & Williams (Reading and Writing, 26(8), 1223-1239, 2013)), whereas others have suggested that the task measures a reader's familiarity with the word's orthographic representation and thus measures word reading skill (e.g., Castles & Nation, 2006). We examined this assertion by testing OC task performance of individuals ages 8 to 18 (J = 296) and their ability to read the OC target words (I = 80) in isolation using crossed random effects item-response models. Results reveal that response on the OC task is not fully determined by the ability of an individual to read the target word in isolation. Specifically, the probability of choosing the correct orthographic form when the word was pronounced incorrectly was .79; whereas it was .90 when the word was pronounced correctly. Measures of receptive spelling and phonemic awareness (person-characteristics) and word frequency and orthographic neighborhood size (item-characteristics) accounted for significant variance in orthographic choice after controlling for target item reading and other reading-related abilities. We interpret the results to suggest that the OC task taps both item-specific orthographic knowledge and more general orthographic knowledge.

Sight word acquisition in first grade students at risk for reading disabilities: an item-level exploration of the number of exposures required for mastery.

The purpose of this study was to examine word learning efficiency in at-risk first grade students (N = 93) participating in a yearlong study evaluating a multicomponent intervention targeting word reading and decoding skills. As part of each intervention lesson, students participated in a 1 to 3-min sight word reading activity in which high-frequency words were read from a list until mastered, at which point the word dropped off the list. This study explored factors predicting the number of exposures required for item reading mastery (N = 145 words). Specifically, we explored how the number of word exposures required to reach mastery varied as a function of linguistic features of the words and cognitive characteristics of the students. Using item-level crossed-random effects models, we found students required an average of 5.65 exposures for mastery, with word features representing word length, vocabulary grade, and imageability being significant predictors of learning efficiency. We also found a significant interaction between pretest word reading skill and imageability of a word, with this semantic feature being especially important for the poorest readers. Results indicate that in the absence of typical word recognition skills, poor readers tend to rely on other sources of information to learn words, which tend to be related to the semantic features of words.

Do the Processes Engaged During Mathematical Word-Problem Solving Differ Along the Distribution of Word-Problem Competence?

Conventional research methods for understanding sources of individual differences in word-problem solving (WPS) only permit estimation of average relations between component processes and outcomes. The purpose of the present study was instead to examine whether and if so how the component processes engaged in WPS differ along the spectrum of WPS performance. Second graders (N = 1,130) from 126 classrooms in 17 schools were assessed on component processes (reasoning, in-class attentive behavior, working memory, language comprehension, calculation fluency, word reading) and WPS. Multilevel, unconditional quantile multiple regression indicated that 3 component processes, calculation fluency, language comprehension, and working memory, are engaged in WPS differentially depending on students' overall word-problem skill. The role of calculation fluency and language comprehension was stronger with more competent word-problem solving ability. By contrast, the role of working memory was stronger with intermediate-level than for strong problem solving. Results deepen insight into the role of these processes in WPS and provide the basis for hypothesizing how instructional strategies may be differentiated depending on students' overall level of WPS competence.

Prevention: Necessary But Insufficient? A 2-Year Follow-Up of an Effective First-Grade Mathematics Intervention.

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

Embedding Self-Regulation Instruction Within Fractions Intervention for Third Graders With Mathematics Difficulties.

The purpose of this study was to explore the efficacy of fractions intervention with and without an embedded self-regulation (SR) component for third-grade students at risk for mathematics disabilities. Fractions intervention focused on magnitude understanding and word problems. Embedded SR was designed to support a growth mindset (fostering belief that intellectual and academic abilities can be developed) along with SR processes in which students set goals, self-monitor, and use strategies to engage motivationally, metacognitively, and behaviorally through challenging tasks. Students (n = 69) were randomly assigned to business-as-usual control and the two versions of fractions intervention. Multilevel models, accounting for the nested structure of the data, identified a moderation effect on fraction word problems: For students receiving fractions intervention with embedded SR, response to intervention was robust across the continuum of students' pretest word problem skill; by contrast, without SR, response to fractions intervention depended on students' pretest word problem skill. On the remaining outcomes, results reflected stronger outcomes when fractions intervention embedded SR instruction without moderation.

Does the Severity of Students' Pre-Intervention Math Deficits Affect Responsiveness to Generally Effective First-Grade Intervention?

The purpose of this analysis was to assess whether effects of 1st-grade mathematics intervention apply across the range of at-risk learners' initial skill levels. Students were randomly assigned to control (n=213) and 2 variants of intervention (n=385) designed to improve arithmetic. Of each 30-minute intervention session (48 over 16 weeks), 25 minutes were identical in the 2 variants, focused on number knowledge that provides the conceptual bases for arithmetic. The other 5 minutes provided non-speeded conceptual practice (n=196) or speeded strategic practice (n=199). Contrasts tested effects of intervention (combined across variants) versus control and effects between the variants. Moderation analysis indicated no significant interactions between at-risk children's pre-intervention mathematics skill and either contrast on any outcome. Across pre-intervention math skill, effects favored intervention over control on arithmetic and transfer to double-digit calculations and number knowledge and favored speeded over non-speeded practice on arithmetic.

Using Moderator Analysis to Identify the First-Grade Children Who Benefit More and Less from a Reading Comprehension Program: A Step Toward Aptitude-by-Treatment Interaction.

Because of the importance of teaching reading comprehension to struggling young readers and the infrequency with which it has been implemented and evaluated, we designed a comprehensive first-grade reading comprehension program. We conducted a component analysis of the program's decoding/fluency (DF) and reading comprehension (COMP) dimensions, creating DF and DF+COMP treatments to parse the value of COMP. Students (N = 125) were randomly assigned to the 2 active treatments and controls. Treatment children were tutored 3 times per week for 21 weeks in 45-min sessions. Children in DF and DF+COMP together performed more strongly than controls on word reading and comprehension. However, pretreatment word reading appeared to moderate these results such that children with weaker beginning word reading across the treatments outperformed similarly low-performing controls to a significantly greater extent than treatment children with stronger beginning word reading outperformed comparable controls. DF+COMP children did not perform better than DF children. Study limitations and implications for research and practice are discussed.

A Longitudinal Analysis of the Trajectories and Predictors of Word Reading and Reading Comprehension Development Among At-Risk Readers.

This study explored the developmental trajectories and predictors of word reading and reading comprehension among young at-risk readers. In fall of first grade, 185 students identified as at-risk for reading difficulties were assessed on measures of domain-specific skills (phonological awareness, letter knowledge, and vocabulary), domain-general skills (working memory, nonverbal reasoning, and processing speed), and word reading and reading comprehension. Word reading and reading comprehension were assessed again in spring of grades 1-4. Individual growth curve modeling showed that the children demonstrated decelerated growth on word reading and linear growth on reading comprehension, although their performance on both word reading and reading comprehension were consistently below average on national norms. After controlling for word reading and reading comprehension in first grade, letter knowledge predicted growth in word reading; vocabulary and nonverbal reasoning predicted growth in reading comprehension. That is, we found different developmental trajectories and different predictors for word reading and reading comprehension among our at-risk sample. Implications are discussed for theory and early reading instruction for at-risk children.

Text Comprehension and Oral Language as Predictors of Word-Problem Solving: Insights into Word-Problem Solving as a Form of Text Comprehension.

This study was designed to deepen insights on whether word-problem (WP) solving is a form of text comprehension (TC) and on the role of language in WPs. A sample of 325 second graders, representing high, average, and low reading and math performance, was assessed on (a) start-of-year TC, WP skill, language, nonlinguistic reasoning, working memory, and foundational skill (word identification, arithmetic) and (b) year-end WP solving, WP-language processing (understanding WP statements, without calculation demands), and calculations. Multivariate, multilevel path analysis, accounting for classroom and school effects, indicated that TC was a significant and comparably strong predictor of all outcomes. Start-of-year language was a significantly stronger predictor of both year-end WP outcomes than of calculations, whereas start-of-year arithmetic was a significantly stronger predictor of calculations than of either WP measure. Implications are discussed in terms of WP solving as a form of TC and a theoretically coordinated approach, focused on language, for addressing TC and WP-solving instruction.

Bivariate Developmental Relations between Calculations and Word Problems: A Latent Change Approach.

The relation between 2 forms of mathematical cognition, calculations and word problems, was examined. Across grades 2-3, performance of 328 children (mean starting age 7.63 [SD=0.43]) was assessed 3 times. Comparison of a priori latent change score models indicated a dual change model, with consistently positive but slowing growth, described development in each domain better than a constant or proportional change model. The bivariate model including change models for both calculations and word problems indicated prior calculation performance and change were not predictors of subsequent word-problem change, and prior word-problem performance and change were not predictors of subsequent calculation change. Results were comparable for boys versus girls. The bivariate model, along with correlations among intercepts and slopes, suggest calculation and word-problem development are related, but through an external set of overlapping factors. Exploratory supplemental analyses corroborate findings and provide direction for future study.

Development of First-Graders' Word Reading Skills: For Whom Can Dynamic Assessment Tell Us More?

Dynamic assessment (DA) of word reading measures learning potential for early reading development by documenting the amount of assistance needed to learn how to read words with unfamiliar orthography. We examined the additive value of DA for predicting first-grade decoding and word recognition development while controlling for autoregressive effects. Additionally, we examined whether predictive validity of DA would be higher for students who have poor phonological awareness skills. First-grade students (n = 105) were assessed on measures of word reading, phonological awareness, rapid automatized naming, and DA in the fall and again assessed on word reading measures in the spring. A series of planned, moderated multiple regression analyses indicated that DA made a significant and unique contribution in predicting word recognition development above and beyond the autoregressor, particularly for students with poor phonological awareness skills. For these students, DA explained 3.5% of the unique variance in end-of-first-grade word recognition that was not attributable to autoregressive effect. Results suggest that DA provides an important source of individual differences in the development of word recognition skills that cannot be fully captured by merely assessing the present level of reading skills through traditional static assessment, particularly for students at risk for developing reading disabilities.

The role of cognitive processes, foundational math skill, and calculation accuracy and fluency in word-problem solving versus prealgebraic knowledge.

The purpose of this study was to examine child-level pathways in development of prealgebraic knowledge versus word-problem solving, while evaluating the contribution of calculation accuracy and fluency as mediators of foundational skills/processes. Children (n = 962; mean 7.60 years) were assessed on general cognitive processes and early calculation, word-problem, and number knowledge at start of Grade 2; calculation accuracy and calculation fluency at end of Grade 2; and prealgebraic knowledge and word-problem solving at end of Grade 4. Important similarities in pathways were identified, but path analysis also indicated that language comprehension is more critical for later word-problem solving than prealgebraic knowledge. We conclude that pathways in development of these forms of 4th-grade mathematics performance are more alike than different, but demonstrate the need to fine-tune instruction for strands of the mathematics curriculum in ways that address individual students' foundational mathematics skills or cognitive processes. (PsycINFO Database Record

Modeling Polymorphemic Word Recognition: Exploring Differences Among Children With Early-Emerging and Late-Emerging Word Reading Difficulty.

Comprehensive models of derived polymorphemic word recognition skill in developing readers, with an emphasis on children with reading difficulty (RD), have not been developed. The purpose of the present study was to model individual differences in polymorphemic word recognition ability at the item level among 5th-grade children (N = 173) oversampled for children with RD using item-response crossed random-effects models. We distinguish between two subtypes of RD children with word recognition problems, those with early-emerging RD and late-emerging RD. An extensive set of predictors representing item-specific knowledge, child-level characteristics, and word-level characteristics were used to predict item-level variance in polymorphemic word recognition. Results indicate that item-specific root word recognition and word familiarity; child-level RD status, morphological awareness, and orthographic choice; word-level frequency and root word family size; and the interactions between morphological awareness and RD status and root word recognition and root transparency predicted individual differences in polymorphemic word recognition item performance. Results are interpreted within a multisource individual difference model of polymorphemic word recognition skill spanning item-specific, child-level, and word-level knowledge.

Novel Approaches to Examine Passage, Student, and Question Effects on Reading Comprehension.

Reading comprehension is influenced by sources of variance associated with the reader and the task. To gain insight into the complex interplay of multiple sources of influence, we employed crossed random-effects item response models. These models allowed us to simultaneously examine the degree to which variables related to the type of passage and student characteristics influenced students' (n = 94; mean age = 11.97 years) performance on two indicators of reading comprehension: different types of comprehension questions and passage fluency. We found that variables related to word recognition, language, and executive function were influential across various types of passages and comprehension questions and also predicted a reader's passage fluency. Further, an exploratory analysis of two-way interaction effects was conducted. Results suggest that understanding the relative influence of passage, question, and student variables has implications for identifying struggling readers and designing interventions to address their individual needs.

Multisyllabic word reading as a moderator of morphological awareness and reading comprehension.

The purpose of this study was to investigate whether the relation between morphological awareness on reading comprehension is moderated by multisyllabic word reading ability in fifth-grade students (N = 169, 53.7% female, 65.2% minority status, 69.2% free/reduced lunch status), oversampled for poor reading skill, when controlling for general knowledge and vocabulary. Based on the lexical quality hypothesis, it was expected that morphological awareness would have a stronger effect on comprehension for children with poor word reading skills, suggesting possible use of morphological awareness for word identification support. Results indicated that neither morphological awareness nor word reading was uniquely associated with reading comprehension when both were included in the model along with vocabulary and general knowledge. Instead, the interaction between word reading and morphological awareness explained significant additional variance in reading comprehension. By probing this interaction, it was determined that the effect of morphological awareness on reading comprehension was significant for the 39% of the sample that had more difficulty reading multisyllabic words but not for students at the higher end of the multisyllabic word reading continuum. We conclude from these results that the relation between morphological awareness and reading comprehension is moderated by multisyllabic word reading ability, providing support for the lexical quality hypothesis. Although we have only correlational data, we suggest tentative instructional practices for improving the reading skill of upper elementary struggling readers.

Explanatory multidimensional multilevel random item response model: an application to simultaneous investigation of word and person contributions to multidimensional lexical representations.

This paper presents an explanatory multidimensional multilevel random item response model and its application to reading data with multilevel item structure. The model includes multilevel random item parameters that allow consideration of variability in item parameters at both item and item group levels. Item-level random item parameters were included to model unexplained variance remaining when item related covariates were used to explain variation in item difficulties. Item group-level random item parameters were included to model dependency in item responses among items having the same item stem. Using the model, this study examined the dimensionality of a person's word knowledge, termed lexical representation, and how aspects of morphological knowledge contributed to lexical representations for different persons, items, and item groups.

Accelerating chronically unresponsive children to tier 3 instruction: what level of data is necessary to ensure selection accuracy?

Response-to-intervention (RTI) approaches to disability identification are meant to put an end to the so-called wait-to-fail requirement associated with IQ discrepancy. However, in an unfortunate irony, there is a group of children who wait to fail in RTI frameworks. That is, they must fail both general classroom instruction (Tier 1) and small-group intervention (Tier 2) before becoming eligible for the most intensive intervention (Tier 3). The purpose of this article was to determine how to predict accurately which at-risk children will be unresponsive to Tiers 1 and 2, thereby allowing unresponsive children to move directly from Tier 1 to Tier 3. As part of an efficacy study of a multitier RTI approach to prevention and identification of reading disabilities (RD), 129 first-grade children who were unresponsive to classroom reading instruction were randomly assigned to 14 weeks of small-group, Tier 2 intervention. Nonresponders to this instruction (n = 33) were identified using local norms on first-grade word identification fluency growth linked to a distal outcome of RD at the end of second grade. Logistic regression models were used to predict membership in responder and nonresponder groups. Predictors were entered as blocks of data from least to most difficult to obtain: universal screening data, Tier 1 response data, norm referenced tests, and Tier 2 response data. Tier 2 response data were not necessary to classify students as responders and nonresponders to Tier 2 instruction, suggesting that some children can be accurately identified as eligible for Tier 3 intervention using only Tier 1 data, thereby avoiding prolonged periods of failure to instruction.

Early Screening for Risk of Reading Disabilities: Recommendations for a Four-Step Screening System.

Response-to-intervention (RTI) models incorporate a screening process to identify students who appear to be at risk for learning disabilities (LDs). The purpose of this position article is to incorporate what is known about screening into a flexible, yet comprehensive screening system to help school psychologists and other school administrators in establishing school-specific screening procedures. The authors begin by discussing past. research on screening for reading disabilities (RDs) within the RTI framework. Then, they propose a four-step screening system advocating a short screener (Step I), progress monitoring (Step 2), follow-up testing (Step 3), and ongoing revision of procedures and cut scores (Step 4). Their goal is to improve screening within RTI systems with practical procedures to permit schools to implement state-of-the-art screening batteries that accurately and efficiently distinguish students who are at high risk for RD.

Word and Person Effects on Decoding Accuracy: A New Look at an Old Question.

The purpose of this study was to extend the literature on decoding by bringing together two lines of research, namely person and word factors that affect decoding, using a crossed random-effects model. The sample was comprised of 196 English-speaking grade 1 students. A researcher-developed pseudoword list was used as the primary outcome measure. Because grapheme-phoneme correspondence (GPC) knowledge was treated as person and word specific, we are able to conclude that it is neither necessary nor sufficient for a student to know all GPCs in a word before accurately decoding the word. And controlling for word-specific GPC knowledge, students with lower phonemic awareness and slower rapid naming skill have lower predicted probabilities of correct decoding than counterparts with superior skills. By assessing a person-by-word interaction, we found that students with lower phonemic awareness have more difficulty applying knowledge of complex vowel graphemes compared to complex consonant graphemes when decoding unfamiliar words. Implications of the methodology and results are discussed in light of future research.