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Perfetti's representational quality hypothesis suggests that orthographic learning in developing readers is associated with two important changes to the orthographic lexicon that drive continued word reading development, namely, addition of word-specific representations and acquisition of complex context-dependent decoding skills. Perfetti further hypothesizes that these two changes are mutually facilitative suggesting a bidirectional relationship. To test this hypothesis, cross-lagged panel models were used to model the relationship between word reading and nonword reading longitudinally across Grades 1-4 in a diverse sample (N = 433) of developing readers. Overall results revealed the codevelopmental pattern between word and nonword reading to be bidirectional in nature such that word reading impacted later nonword reading and vice versa. These bidirectional relations did not differ significantly between those who qualify for free and reduced lunch and those who do not. However, differences were observed between those at-risk for dyslexia and those not at-risk.

Purpose: Fourth grade typically involves shifting the instruction from "learning to read" to "reading to learn," which can cause students to struggle. However, early reading intervention guided by assessment has demonstrated effectiveness in preventing later reading difficulties (RD). This study presents a classification and regression tree (CART) model predicting fourth-grade reading groups using first-grade measures. Method: Students were assessed in first and fourth grade (N = 452). Fourth-grade groups were determined using latent class analysis based on word reading and reading comprehension measures with a cut-point at the 15th percentile. A CART model was trained to determine the best decision rules to classify students at risk of developing later RD and compared to a logistic regression model. Results: Important first-grade predictors included a mix of oral language and foundational word-reading skills with final classification accuracy estimates of 0.90 AUC, 0.91 sensitivity, and 0.75 specificity. Conclusion: While the CART and logistic regression models' classification accuracy was similar, CART has the advantage of offering a more intuitive way for practitioners to determine risk. Multivariate screening can be timeconsuming, but CART models offer the potential to reduce false positives and guide targeted interventions, leading to better use of school resources.

Purpose: We examined the extent to which achievement goals predict reading comprehension, measured by two response formats (free recall and constructed response), and how these relations differ for students with and without reading difficulties (RD). We further explored how executive functions (working memory and semantic verbal fluency) mediate the relations between achievement goals and reading comprehension. Method: We fit multigroup structural equation models with data from monolingual English-speaking fifth graders (n = 146 for RD; n = 109 for non-RD) in the United States. Results: Results revealed that achievement goals predict reading comprehension as measured by the free recall but not by the constructed response format, and this pattern was moderated by RD status. For students with RD, mastery goals positively predicted performance on free recall, a relationship that was completely mediated by semantic verbal fluency, whereas performance-approach goals were negatively related to free recall. For students without RD, however, achievement goals did not predict reading comprehension as measured by either assessment format. Conclusion: Our findings underscore the need to account for motivational differences in reading comprehension and the importance of fostering mastery goals when teaching reading comprehension, particularly for students with RD. [For the corresponding grantee submission, see ED627133.]

We examined dynamic assessment's (DA's) added value over traditional assessments for identifying Spanish-speaking English learners' (ELs) risk for developing mathematics disabilities, as a function of the language of test administration (English vs. Spanish), type of math outcome, and EL's language dominance. At the start of first grade, ELs (N = 368) were randomly assigned to English-DA or Spanish-DA conditions, were assessed on static mathematics measures and domain-general (language, reasoning) measures in English, and completed DA in their assigned language condition. At year's end, they were assessed on calculation and word-problem solving outcomes in English. Results from multigroup path models indicated that Spanish-DA mitigates the impact of ELs' language dominance on DA performance. Moreover, ELs' language dominance moderated DA's predictive validity differentially depending on DA language and type of outcome. Spanish-DA showed higher predictive validity in Spanish-dominant ELs than English-dominant ELs when predicting calculations but not word-problem solving. English-DA was predictive for both outcomes, regardless of ELs' language dominance. [For the corresponding grantee submission, see ED603185.]

Set for variability (SfV) is an oral language task that requires an individual to disambiguate the mismatch between the decoded form of an irregular word and its actual lexical pronunciation. For example, in the task, the word wasp is pronounced to rhyme with clasp (i.e. /waesp/), and the individual must recognize the actual pronunciation of the word to be /w[alpha]sp/. SfV has been shown to be a significant predictor of both item-specific and general word reading variance above and beyond that associated with phonemic awareness skill, letter-sound knowledge, and vocabulary skill. However, very little is known about the child characteristics and word features that affect SfV item performance. In this study, we explored whether word features and child characteristics that involve phonology only are adequate to explain item-level variance in SfV performance or whether including predictors that involve the connection between phonology and orthography explains additional variance. To accomplish this, we administered the SfV task (N = 75 items) to a sample of grade 2-5 children (N = 489), along with a battery of reading, reading related, and language measures. Results suggest that variance in SfV performance is uniquely accounted for by measures tapping phonological skill along with those capturing knowledge of phonology to orthography associations, but more so in children with better decoding skill. Additionally, word reading skill was found to moderate the influence of other predictors suggesting that how the task is approached may be impacted by word reading and decoding ability.

Statistical views of reading highlight the link between proficient literacy and the assimilation of various regularities embedded in writing systems, including those in the mapping between print and meaning. Still, orthographic-semantic (O-S) regularities remain relatively understudied, with open questions regarding 3 issues: (a) how O-S regularities should be quantified, (b) how they impact the behavior of proficient readers, and (c) whether individual differences in sensitivity to these regularities predict reading skills. The goal of the current article is to address these questions. We start by reviewing previous studies estimating print-meaning regularities, where orthography-to-semantics consistency (OSC) is defined as the mean semantic similarity between a word and its orthographic neighbors. While we adopt this general strategy, we identify a potential confound in previous operational definitions. We therefore offer a modified measure, which we use to examine group-level OSC effects in available data sets of single word recognition and reading for comprehension. Our findings validate the existence of OSC effects but reveal variation across tasks, with OSC effects emerging more strongly in tasks involving a direct mapping of print to meaning. Next, we present a reanalysis of word naming data from 399 second through fifth graders, where we examine individual differences in reliance on O-S regularities and their relation to participants' reading skills. We show that early readers whose naming accuracy is more influenced by OSC (i.e., those who rely more on O-S) have better passage comprehension abilities. We conclude by discussing the role of O-S regularities in proficient reading and literacy acquisition.

Purpose: The probability of a child reading a word correctly is influenced by both child skills and properties of the word. The purpose of this study was to investigate child-level skills (set for variability and vocabulary), word-level properties (concreteness), word structure (mono- vs polymorphemic), and interactions between these properties and word structure within a comprehensive item-level model of complex word reading. This study is unique in that it purposely sampled both mono- and polymorphemic polysyllabic words. Method: A sample of African American (n = 69) and Hispanic (n = 6) students in grades 2-5 (n = 75) read a set of mono- and polymorphemic polysyllabic words (J = 54). Item-level responses were modeled using cross-classified generalized random-effects models allowing variance to be partitioned between child and word while controlling for other important child factors and word features. Results: Set for variability and the interaction between concreteness and word structure (i.e., mono- vs polymorphemic) were significant predictors. Higher probabilities of reading poly- over monomorphemic words were identified at lower levels of concreteness with the opposite at higher levels of concreteness. Conclusions: Results indicate important predictors at both the child- and word-level and support the importance of morphological structure for reading abstract polysyllabic words.

We modeled word reading growth in typically developing (n = 118) and children with dyslexia (n = 20), Grades 2-5, across multiple exposures to 30 words. We explored the facilitative versus inhibitory effects of exposures to differential mixes of words that support high- versus low-frequency vowel pronunciations. One training corpus contained a ratio of 80%-20% high- to low-frequency pronunciations (e.g., for "ea"; 80% "ea" pronounced as /i/ as in "bead" and 20% "ea" pronounced /[epsilon]/ as in "dead"), whereas the other consisted of a ratio of 20%-80%. We also modeled accuracy at the final exposure for a subset of 12 shared words across conditions using item-level crossed-random effects models with reading skill (i.e., typically developing vs. dyslexic), condition, word frequency, and vowel pronunciation (i.e., high- vs. low-frequency vowel pronunciation) as predictors in the model. We were particularly interested in the interaction between condition and vowel pronunciation across reading groups. Results suggest typically developing children were influenced by the interaction between condition and vowel pronunciation, suggesting both facilitation and inhibition, whereas children with dyslexia were influenced by condition and vowel pronunciation without an interaction. Results are interpreted within the overfitting model of dyslexia.

Developmental studies examining relations between word reading (WR) and decoding in typical and dyslexic populations routinely cut the reading distribution to form distinct groups. However, dichotomizing continuous variables to study development is problematic for multiple reasons. Instead, we modeled and visualized the parallel growth of WR and nonword reading (NWR) factor scores longitudinally in a Grade 1-4 developmental sample (N = 588). The results indicate that while WR and NWR growth factors are highly related (r = 0.71), the relation between WR and NWR trajectories change as a function of initial WR. Results are interpreted within computational models of dyslexia in which children with dyslexia overfit orthography [right arrow] phonology relations at the level of the word, limiting the development of sublexical representations needed to read nonwords.

The main purpose of this study was to test the effects of word-problem (WP) intervention, with versus without embedded language comprehension (LC) instruction, on at-risk 1st graders' WP performance. We also isolated the need for a structured approach to WP intervention and tested the efficacy of schema-based instruction at 1st grade. Children (n = 391; M[subscript age] = 6.53, SD = 0.32) were randomly assigned to 4 conditions: schema-based WP intervention with embedded language instruction, the same WP intervention but without LC instruction, structured number knowledge (NK) intervention without a structured WP component, and a control group. Each intervention included 45 sessions, each 30 min long. Multilevel models, accounting for classroom and school effects, revealed the efficacy of schema-based WP intervention at 1st grade, with both WP conditions outperforming the NK condition and the control group. Yet, WP performance was significantly stronger for the schema-based condition with embedded LC instruction compared to the schema-based condition without LC instruction. NK intervention conveyed no WP advantage over the control group, even though all 3 intervention conditions outperformed the control group on arithmetic. Results demonstrate the importance of a structured approach to WP intervention, the efficacy of schema-based instruction at 1st grade, and the added value of LC instruction within WP intervention. Results also provide causal evidence on the role of LC in WP solving.

We conducted a secondary analysis of data from a randomized control trial to explore this question: Does "response/no response" best characterize students' reactions to a generally efficacious first-grade reading program, or is a more nuanced characterization necessary? Data were collected on 265 at-risk readers' word reading prior to and immediately following program implementation in first grade and in spring of second grade. Pretreatment data were also obtained on domain-specific skills (letter knowledge, decoding, passage comprehension, language) and domain-general skills (working memory, non-verbal reasoning). Latent profile analysis of word reading across the three time points with controls as a local norm revealed a "strongly responsive" group (n = 45) with mean word-reading z scores of 0.25, 1.64, and 1.26 at the three time points, respectively; a "mildly responsive" group (n = 109), z scores = 0.30, 0.47, and 0.55; a "mildly non-responsive" group (n = 90), z scores = -0.11, -0.15, and -0.55; and a "strongly non-responsive" group (n = 21), z scores = -1.24, -1.26, and -1.57. The two responsive groups had stronger pretreatment letter knowledge and passage comprehension than the two non-responsive groups. The mildly non-responsive group demonstrated better pretreatment passage comprehension than the strongly non-responsive group. No domain-general skill distinguished the four groups. Findings suggest response to early reading intervention was more complicated than response/no response, and pretreatment reading comprehension was an important predictor of response even with pretreatment word reading controlled.

The purpose of this analysis was to examine achievement gaps on fractions for very-low-performing students as a function of whether they receive inclusive fraction instruction or specialized fraction intervention and with the shift to Common Core State Standards (CCSS). In three randomized control trials conducted in 3 consecutive years, 203 students who scored at or below the 10th percentile in mathematics (mean standard score ~75) at the start of fourth grade were randomly assigned at the individual level to 12 weeks of inclusive fraction instruction or specialized fraction intervention. In Year 1, the fourth-grade mathematics curriculum was guided by initial state standards; in Years 2 and 3, the state was transitioning to CCSS. In each of the 3 years on each measure, results indicated significantly stronger learning and markedly smaller post-intervention achievement gaps for specialized fraction intervention than for inclusive fraction instruction. Yet, the size of achievement gaps grew over the years in both conditions, as CCSS increased the depth and challenge of the fraction curriculum and produced differentially stronger learning in not-at-risk classmates. Implications are discussed in terms of the provision of services for students with learning disabilities in the era of CCSS and the meaning of "access to the general education curriculum". [This paper was published in "Exceptional Children" (EJ1049289).]

As children learn to read, they become sensitive to context-dependent vowel pronunciations in words, considered a form of statistical learning. The work of Treiman and colleagues demonstrated that readers' vowel pronunciations depend on the consonantal context in which the vowel occurs and reading experience. Using explanatory item-response models we examined child- and nonword-factors associated with children's assignment of more versus less frequent grapheme-phoneme correspondences (GPC) to vowel pronunciations as a function of rime coda in monosyllabic nonwords. Students (N = 96) in grades 2-5 read nonwords in which more versus less frequent vowel GPCs were wholly supported or partially favored by the rime unit. Use of less frequent vowel GPCs was predicted by set for variability, word reading, and rime support for the context-dependent vowel pronunciation. We interpret the results within a developmental word reading model in which initially incomplete and oversimplified GPC representations become more context dependent with reading experience.

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.

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 and reading comprehension dimensions (DF and COMP), creating DF and DF+COMP treatments to parse the value of COMP. Students (N = 125) were randomly assigned to the two active treatments and controls. Treatment children were tutored three 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.

The purpose of this study was to assess the value of dynamic assessment (DA; degree of scaffolding required to learn unfamiliar mathematics content) for predicting 1st-grade calculations (CAs) and word problems (WPs) development, while controlling for the role of traditional assessments. Among 184 1st graders, predictors (DA, Quantity Discrimination, Test of Mathematics Ability, language, and reasoning) were assessed near the start of 1st grade. CA and WP were assessed near the end of 1st grade. Planned regression and commonality analyses indicated that for forecasting CA development, Quantity Discrimination, which accounted for 8.84% of explained variance, was the single most powerful predictor, followed by Test of Mathematics Ability and DA; language and reasoning were not uniquely predictive. By contrast, for predicting WP development, DA was the single most powerful predictor, which accounted for 12.01% of explained variance, with Test of Mathematics Ability, Quantity Discrimination, and language also uniquely predictive. Results suggest that different constellations of cognitive resources are required for CA vs. WP development and that DA may be useful in predicting 1st-grade mathematics development, especially WP. (Contains 3 tables and 1 footnote.) [Support for this research was also provided by the Eunice Kennedy Shriver National Institute of Child Health & Human Development awarded to Vanderbilt University.]

This quasi-experimental study explored a response-to-intervention (RTI) design in which Tiers 2 and 3 were inverted for the most at-risk first grade students in reading intervention in seven classrooms (n = 24) across two culturally diverse schools. These students were matched using propensity scores and compared to a second group of first grade at-risk students for reading difficulties who received a traditional RTI intervention program (n = 24) from 12 classrooms across nine culturally diverse schools in the same southeastern city. Interventions were identical with the exception of the RTI tier inversion. The intervention largely emphasized word-level reading skills, with focus on letter-sound correspondence, sight-word recognition, and decoding, and also included spelling and fluency. Statistically significant effects were found for the intervention on word reading measures; however, differences for decoding measures were not found to be statistically significant. Given that the decoding assessments had effect sizes of .025 (small) and .037 (medium), a larger sample may demonstrate a significant positive impact of udRTI on these measures as well. Implications for continued study with the udRTI model are discussed.

A study investigated whether changing the letter composition of the Denckla and Rudel rapid automatized naming (RAN) task influenced task performance and the RAN word identification skill relationships in 383 first graders. Substituting a letter that was visually similar to other letters had the greatest influence on RAN speed and accuracy performance. (Contains references.) (Author/CR)

This study compared the effects of 2 strategy-based comprehension treatments intended to promote vocabulary and content knowledge for elementary students at risk for developing reading difficulties (N = 105) with a traditional content approach. The study examined the effectiveness of strategy versus nonstrategy instruction on reading comprehension, vocabulary, and knowledge acquisition. In addition, the study considered the trade-offs between using a program focused on building vocabulary and a program focused on building content knowledge through strategy-based dialogue. Hierarchical linear modeling analyses revealed that the vocabulary strategy instruction produced higher vocabulary acquisition than the other conditions for younger students. However, traditional content instruction was more effective for older students. The findings suggest that practitioners should focus heavily on vocabulary when using expository texts with young children. Based on our results, we suggest blending the best of content and strategy instruction to optimize comprehension instruction in the classroom.

Although instruction has been shown to be effective at increasing vocabulary knowledge and comprehension, factors most important for promoting the acquisition of novel vocabulary are less known. In addition, few vocabulary studies have utilized models that simultaneously take into account child-level, word-level, and instructional factors to better understand the acquisition of novel vocabulary from informational text. Sixty-eight children with reading difficulties in Grades 3--5 were randomly assigned to either vocabulary strategy instruction or traditional comprehension instruction with both groups reading the same set of expository texts. Crossed random-effects models were used to predict item-level variance in vocabulary acquisition. Results indicated main effects for condition favoring vocabulary instruction, child-level predictors (vocabulary and knowledge of the content), and word-level factors (frequency and imageability). One interaction was significant, indicating that students with higher vocabulary scores were more likely to do better when provided vocabulary instruction than students with lower prior vocabulary.

Models of irregular word reading that take into account both child- and word-level predictors have not been evaluated in typically developing children and children with reading difficulty (RD). The purpose of the present study was to model individual differences in irregular word reading ability among 5th grade children (N = 170), oversampled for children with RD, using item-response crossed random-effects models. We distinguish between 2 subtypes of children with word reading RD, those with early emerging and late-emerging RD, and 2 types of irregular words, "exception" and "strange." Predictors representing child-level and word-level characteristics, along with selected interactions between child- and word-characteristics, were used to predict item-level variance. Individual differences in irregular word reading were predicted at the child level by nonword decoding, orthographic coding, and vocabulary; at the word level by word frequency and a spelling-to-pronunciation transparency rating; and by the Reader group × Imageability and Reader group × Irregular word type interactions. Results are interpreted within a model of irregular word reading in which lexical characteristics specific to both child and word influence accuracy.

The purpose of this study was to assess the added value of dynamic assessment (DA) for predicting individual differences in year-end first-grade calculation (CA) and word-problem (WP) performance as a function of limited English proficiency (LEP) status. Beginning first graders (129 LEP; 163 non-LEP) were assessed on brief and static mathematics tests, static tests of domain-general abilities (vocabulary; reasoning), and DA. The next spring, they were assessed on CA and WP. Regression analyses indicated that the value of the predictor depends on the predicted outcome and LEP status. In predicting CAs, the extended mathematics test and DA uniquely explained variance for LEP children, with stronger predictive value for the extended mathematics test; for non-LEP children, the extended mathematics test was the only significant predictor. However, in predicting WPs, only DA and vocabulary were uniquely predictive for LEP children, with stronger value for DA; for non-LEP children, the extended mathematics test and DA were comparably uniquely predictive. The potential value of a gated screening process is discussed.

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.

The association made between the meaning, spelling, and pronunciation of a word has been shown to help children remember the meanings of words. The present study addressed whether the presence of a target word in Braille during instruction facilitated vocabulary learning more efficiently than an auditory-only instructional condition. The authors used an adapted alternating treatments single-case experimental design with three students with visual impairments who read Braille, collecting data on definition recall and spelling during each session. Data on definition recall were used to determine mastery. The results of this study are not consistent with previous findings with students who read print. Visual analyses of the data indicated that participants reached mastery in both conditions, but all three reached mastery on definition recall in fewer sessions in the auditory-only condition. Spellings of words were learned in the flashcard condition only, and possible implications of this are discussed. The difference in the unit of recognition and working memory load between reading Braille and reading print is discussed as one possible explanation.

In English, gains in decoding skill do not map directly onto increases in word reading. However, beyond the Self-Teaching Hypothesis, little is known about the transfer of decoding skills to word reading. In this study, we offer a new approach to testing specific decoding elements on transfer to word reading. To illustrate, we modeled word-reading gains among children with reading disability enrolled in Phonological and Strategy Training (PHAST) or Phonics for Reading (PFR). Conditions differed in sublexical training with PHAST stressing multilevel connections and PFR emphasizing simple grapheme-phoneme correspondences. Thirty-seven children with reading disability, 3rd to 6th grade, were randomly assigned 60 lessons of PHAST or PFR. Crossed random-effects models allowed us to identify specific intervention elements that differentially impacted word-reading performance at posttest, with children in PHAST better able to read words with variant vowel pronunciations. Results suggest that sublexical emphasis influences transfer gains to word reading.

The focus of the present study was enhancing word problem and calculation achievement in ways that support prealgebraic thinking among second-grade students at risk for mathematics difficulty. Intervention relied on a multitier support system (i.e., responsiveness to intervention, or RTI) in which at-risk students participate in general classroom instruction and receive supplementary small-group tutoring. Participants were 265 students in 110 classrooms in 25 schools. Teachers were randomly assigned to one of three conditions: calculation RTI, word problem RTI, or business-as-usual control. Intervention lasted 17 weeks. Multilevel modeling indicated that calculation RTI improved calculation but not word problem outcomes, word problem RTI enhanced proximal word problem outcomes as well as performance on some calculation outcomes, and word problem RTI provided a stronger route than calculation RTI to prealgebraic knowledge.

This study's hypotheses were that (a) word-problem (WP) solving is a form of text comprehension that involves language comprehension processes, working memory, and reasoning, but (b) WP solving differs from other forms of text comprehension by requiring WP-specific language comprehension as well as general language comprehension. At the start of the 2nd grade, children (n = 206; on average, 7 years, 6 months) were assessed on general language comprehension, working memory, nonlinguistic reasoning, processing speed (a control variable), and foundational skill (arithmetic for WPs; word reading for text comprehension). In spring, they were assessed on WP-specific language comprehension, WPs, and text comprehension. Path analytic mediation analysis indicated that effects of general language comprehension on text comprehension were entirely direct, whereas effects of general language comprehension on WPs were partially mediated by WP-specific language. By contrast, effects of working memory and reasoning operated in parallel ways for both outcomes.

The purpose of the current study was to examine academic and cognitive profiles of first graders who responded adequately and inadequately to intensive small-group reading intervention (Tier 2), as well as assess how these profiles differ based on the criteria used for classification of unresponsiveness. Nonresponders were identified using two different methods: (a) reading composite with weighted standardized scores for untimed word identification and word attack, timed sight word reading and decoding, and reading comprehension at the end of first grade (n = 23; 18.4%), and (b) local norms on first grade word identification fluency (WIF; n = 31; 24.8%). Repeated measures ANOVAs were used to assess the difference between responders and nonresponders on four separate profiles (i.e., academic and cognitive profiles, with groups identified using reading composite and WIF criteria for unresponsiveness). Significant level effects were found using the first-grade reading composite and the WIF criteria, indicating that the groups differ from one another across domains. Interestingly, there were only significant shape effects found when using the WIF criteria, suggesting relative strengths and weaknesses distinguish the groups. These findings suggest potentially important considerations related to identification and placement of students in appropriately intensive and targeted interventions.

The focus of this study was connections among 3 aspects of mathematical cognition at 2nd grade: calculations, word problems, and prealgebraic knowledge. We extended the literature, which is dominated by correlational work, by examining whether intervention conducted on calculations or word problems contributes to improved performance in the other domain and whether intervention in either or both domains contributes to prealgebraic knowledge. Participants were 1,102 children in 127 second-grade classrooms in 25 schools. Teachers were randomly assigned to 3 conditions: calculation intervention, word-problem intervention, and business-as-usual control. Intervention, which lasted 17 weeks, was designed to provide research-based linkages between arithmetic calculations or arithmetic word problems (depending on condition) and prealgebraic knowledge. Multilevel modeling suggested calculation intervention improved calculation but not word-problem outcomes; word-problem intervention enhanced word-problem but not calculation outcomes; and word-problem intervention provided a stronger route than calculation intervention to prealgebraic knowledge.

This study investigated contributions of general cognitive abilities and foundational mathematical competencies to numeration understanding (i.e., base-10 structure) versus multidigit calculation skill. Children (n = 394, M = 6.5 years) were assessed on general cognitive abilities and foundational numerical competencies at start of 1st grade; on the same numerical competencies, multidigit calculation skill, and numeration understanding at end of 2nd grade; and on multidigit calculation skill and numeration understanding at end of 3rd grade. Path-analytic mediation analysis revealed that general cognitive predictors exerted more direct and more substantial effects on numeration understanding than on multidigit calculations. Foundational mathematics competencies contributed to both outcomes, but largely via 2nd-grade mathematics achievement, and results suggest a mutually supportive role between numeration understanding and multidigit calculations.

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.

The Double Deficit Hypothesis of dyslexia is one approach to classifying students with reading disabilities. The theory offers four distinct groups of readers: (a) average readers, (b) students with phonological deficits, (c) students with naming speed deficits, and (d) students with double deficits: those having both (b) and (c). This study examines the stability of these groups from kindergarten to second grade. An initial sample of 214 students were tested at four time points on measures of rapid automatized naming, phonological awareness, and reading. Latent transition analyses were used to examine the stability of these groups over time. These analyses indicated moderate stability from kindergarten to second grade with the probability of movement between groups being higher in kindergarten and early first grade. The groups differed in reading achievement at each testing time, with the double deficit group obtaining the lowest scores. Implications for early assessment and intervention are discussed.

The purpose of this study was to examine the role of a dynamic assessment (DA) of decoding in predicting responsiveness to Tier 2 small-group tutoring in a response-to-intervention model. First grade students (n = 134) who did not show adequate progress in Tier 1 based on 6 weeks of progress monitoring received Tier 2 small-group tutoring in reading for 14 weeks. Student responsiveness to Tier 2 was assessed weekly with word identification fluency (WIF). A series of conditional individual growth curve analyses were completed that modeled the correlates of WIF growth (final level of performance and growth). Its purpose was to examine the predictive validity of DA in the presence of three sets of variables: static decoding measures, Tier 1 responsiveness indicators, and prereading variables (phonemic awareness, rapid letter naming, oral vocabulary, and IQ). DA was a significant predictor of final level and growth, uniquely explaining 3% to 13% of the variance in Tier 2 responsiveness depending on the competing predictors in the model and WIF outcome (final level of performance or growth). Although the additional variances explained uniquely by DA were relatively small, results indicate the potential of DA in identifying Tier 2 nonresponders.

The purpose of this study was to investigate the effects of 1st-grade number knowledge tutoring with contrasting forms of practice. Tutoring occurred 3 times per week for 16 weeks. In each 30-min session, the major emphasis (25 min) was number knowledge; the other 5 min provided practice in 1 of 2 forms. Nonspeeded practice reinforced relations and principles addressed in number knowledge tutoring. Speeded practice promoted quick responding and use of efficient counting procedures to generate many correct responses. At-risk students were randomly assigned to number knowledge tutoring with speeded practice (n = 195), number knowledge tutoring with nonspeeded practice (n = 190), and control (no tutoring, n = 206). Each tutoring condition produced stronger learning than control on all 4 mathematics outcomes. Speeded practice produced stronger learning than nonspeeded practice on arithmetic and 2-digit calculations, but effects were comparable on number knowledge and word problems. Effects of both practice conditions on arithmetic were partially mediated by increased reliance on retrieval, but only speeded practice helped at-risk children compensate for weak reasoning ability. (Contains 7 tables, 2 figures and 6 footnotes.)

This randomized control trial examined the efficacy of a multitiered supplemental tutoring program within a first-grade responsiveness-to-intervention prevention model. Struggling first-grade readers (n = 649) were screened and progress monitored at the start of the school year. Those identified as unresponsive to general education Tier 1 (n = 212) were randomly assigned to receive Tier 2 small-group supplemental tutoring (n = 134) or to continue in Tier 1 (n = 78). Progress-monitoring data were used to identify nonresponders to Tier 2 (n = 45), who were then randomly assigned to more Tier 2 tutoring (n = 21) or one-on-one Tier 3 tutoring (n = 24). Tutoring in Tier 3 was the same as in Tier 2 except for the delivery format and frequency of instruction. Results from a latent change analysis indicated nonresponders to Tier 1 who received supplemental tutoring made significantly higher word reading gains compared with controls who received reading instruction only in Tier 1 (effect size = 0.19). However, no differences were detected between nonresponders to Tier 2 who were assigned to Tier 3 versus more Tier 2. This suggests more frequent 1:1 delivery of a Tier 2 standard tutoring program may be insufficient for intensifying intervention at Tier 3. Although supplemental tutoring was effective in bolstering reading performance of Tier 1 nonresponders, only 40% of all Tier 2 students and 53% of Tier 2 responders were reading in the normal range by grade 3. Results challenge the preventive intent of short-term, standard protocol, multitiered supplemental tutoring models. (Contains 2 figures and 7 tables.)

The purpose of this study was to investigate the contributions of domain-general cognitive resources and different forms of arithmetic development to individual differences in pre-algebraic knowledge. Children (n = 279, mean age = 7.59 years) were assessed on 7 domain-general cognitive resources as well as arithmetic calculations and word problems at start of 2nd grade and on calculations, word problems, and pre-algebraic knowledge at end of 3rd grade. Multilevel path analysis, controlling for instructional effects associated with the sequence of classrooms in which students were nested across Grades 2-3, indicated arithmetic calculations and word problems are foundational to pre-algebraic knowledge. Also, results revealed direct contributions of nonverbal reasoning and oral language to pre-algebraic knowledge, beyond indirect effects that are mediated via arithmetic calculations and word problems. By contrast, attentive behavior, phonological processing, and processing speed contributed to pre-algebraic knowledge only indirectly via arithmetic calculations and word problems. (Contains 4 tables, 1 figure, and 2 footnotes.)

During the past decade, responsiveness to intervention (RTI) has become popular among many practitioners as a means of transforming schooling into a multilevel prevention system. Popularity aside, its successful implementation requires ambitious intent, a comprehensive structure, and coordinated service delivery. An effective RTI also depends on building-based personnel with specialized expertise at all levels of the prevention system. Most agree on both its potential for strengthening schooling and its heavy demand on practitioners. In this article, we describe Smart RTI, which we define as making efficient use of school resources while maximizing students' opportunities for success. In light of findings from recent research, we discuss three important features of Smart RTI: (a) multistage screening to identify risk, (b) multistage assessment to determine appropriate levels of instruction, and (c) a role for special education that supports prevention.

This study assessed the effects of sampling breadth on technical features of word identification fluency (WIF), a tool for screening and monitoring the reading development of first graders. From a potential pool of 704 first-grade students, the authors measured both a representative sample (n = 284) and 2 other subgroups: those with low reading achievement (n = 202) and those with high/average achievement (n = 213). Data were collected weekly on broadly and narrowly sampled WIF lists for 15 weeks and on criterion measures in the fall and spring. Broad lists were developed by sampling words from 500 high-frequency words, whereas narrow lists were created by sampling from the 133 words from Dolch preprimer, primer, and first-grade word lists. Overall, predictive validity for performance level, predictive validity for growth, and commonality analysis showed narrow sampling was better for screening the representative group and the high/average subgroup. Broad sampling was superior for screening the low-achieving subgroup and for progress monitoring across groups. (Contains 8 tables.)

The purpose of this study was to examine the cognitive and academic profiles associated with learning disability (LD) in reading comprehension, word reading, applied problems, and calculations. The goal was to assess the specificity hypothesis, in which unexpected underachievement associated with LD is represented in terms of distinctive patterns of cognitive and academic strengths and weaknesses. At the start of 3rd grade, the authors assessed 684 students on five cognitive dimensions (nonverbal problem solving, processing speed, concept formation, language, and working memory), and across Grades 3 through 5, the authors assessed performance in each academic area three to four times. Based on final intercept, the authors classified students as LD or not LD in each of the four academic areas. For each of these four LD variables, they conducted multivariate cognitive profile analysis and academic profile analysis. Results, which generally supported the specificity hypothesis, are discussed in terms of the potential connections between reading and mathematics LD. (Contains 4 tables and 1 figure.)

In a sample of 195 first graders selected for poor reading performance, the authors explored four cognitive predictors of later reading comprehension and reading disability (RD) status. In fall of first grade, the authors measured the children's phonological processing, rapid automatized naming (RAN), oral language comprehension, and nonverbal reasoning. Throughout first grade, they also modeled the students' reading progress by means of weekly Word Identification Fluency (WIF) tests to derive December and May intercepts. The authors assessed their reading comprehension in the spring of Grades 1-5. With the four cognitive variables and the WIF December intercept as predictors, 50.3% of the variance in fifth-grade reading comprehension was explained: 52.1% of this 50.3% was unique to the cognitive variables, 13.1% to the WIF December intercept, and 34.8% was shared. All five predictors were statistically significant. The same four cognitive variables with the May (rather than December) WIF intercept produced a model that explained 62.1% of the variance. Of this amount, the cognitive variables and May WIF intercept accounted for 34.5% and 27.7%, respectively; they shared 37.8%. All predictors in this model were statistically significant except RAN. Logistic regression analyses indicated that the accuracy with which the cognitive variables predicted end-of-fifth-grade RD status was 73.9%. The May WIF intercept contributed reliably to this prediction; the December WIF intercept did not. Results are discussed in terms of a role for cognitive abilities in identifying, classifying, and instructing students with severe reading problems. (Contains 1 note and 4 tables.)

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. (Contains 4 tables.)

In this article, the authors consider the power and limitations of responsiveness-to-intervention (RTI) for reducing the need for ongoing and intensive services for the segment of the school population traditionally identified as having a learning disability in mathematics. To assess the robustness of RTI, the authors describe four studies with strong demonstrations of efficacy, as they considered the percentage of students who failed to respond, the post-tutoring achievement gap between tutored and not-at-risk students, and the extent of transfer across components of the mathematics curriculum. The authors then discuss implications and additional research questions pertaining to mathematics intervention generally and within the context of RTI. They conclude with a proposal for an expanded conceptualization of RTI.

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 composed 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, it was concluded that it is neither necessary nor sufficient for a student to know all GPCs in a word before accurately decoding the word. Controlling for word-specific GPC knowledge, students with lower phonemic awareness and slower rapid naming skill have lower predicted probabilities of correct decoding than do counterparts with superior skills. By assessing a Person x Word interaction, it was found that students with lower phonemic awareness have more difficulty applying knowledge of complex vowel graphemes compared with complex consonant graphemes when decoding unfamiliar words. Implications of the methodology and results are discussed in light of future research. (Contains 3 footnotes, 10 tables, and 3 figures.)

The purpose of this study was to explore the utility of a dynamic assessment (DA) of algebraic learning in predicting third graders' development of mathematics word-problem difficulty. In the fall, 122 third-grade students were assessed on a test of math word-problem skill and DA of algebraic learning. In the spring, they were assessed on word-problem performance. Logistic regression was conducted to contrast two models. One relied exclusively on the fall test of math word-problem skill to predict word-problem difficulty on the spring outcome (less than the 25th percentile). The second model relied on a combination of the fall test of math word-problem skill and the fall DA to predict the same outcome. Holding sensitivity at 87.5%, the universal screener alone resulted in a high proportion of false positives, which was practically reduced when DA was included in the prediction model. Findings are discussed in terms of a two-stage process for screening students within a responsiveness-to-intervention prevention model. (Contains 1 note and 2 tables.)