A practical illustration of multidimensional diagnostic skills profiling: Comparing results from confirmatory factor analysis and diagnostic classification models

In recent years there has been an increasing international interest in fine-grained diagnostic inferences on multiple skills for formative purposes. A successful provision of such inferences that support meaningful instructional decision-making requires (a) careful diagnostic assessment design coupled with (b) empirical support for the structure of the assessment grounded in multidimensional scaling models. This paper investigates the degree to which multidimensional skills profiles of children can be reliably estimated with confirmatory factor analysis models, which result in continuous skill profiles, and diagnostic classification models, which result in discrete skill profiles. The data come from a newly developed diagnostic assessment of arithmetic skills in elementary school that was specifically designed to tap multiple skills at different levels of definitional grain size.     

Patterns of maternal behavior among neglectful families: implications for research and intervention

OBJECTIVE: The heterogeneity within neglecting caregivers has not been explored in an empirical fashion. The current study sought to address this limitation by utilizing archival data in order to explore variability of maternal behavior among neglectful families. METHOD: The current study utilized archival data containing caseworker and self-report information on 100 mothers for whom neglect had been substantiated and was the primary referral concern. Cluster analysis was used to describe patterns of maternal behavior. Subsequent analysis was used to determine differences between the clusters on degree of neglect, maternal depression, perceived social support, and other demographic characteristics (income, education). RESULTS: Five distinct patterns of maternal behavior emerged, each with different ratings of maternal confidence, relatedness, impulse control, and willingness to engage in verbal interactions. The clusters differed on ratings of neglect, life stressors, resource problems and adult problems. The clusters were similar in terms of maternal education, number of children in the home, and monthly income. Additionally, women in all clusters reported similar levels of depression, similar number of children, and a comparable amount of social support. CONCLUSIONS: The five clusters are described and implications for intervention approaches are discussed.     

Depressed mothers' judgments about their children: an examination of the depression-distortion hypothesis

The belief that depressed mothers have distorted perceptions of their children's problems has gained considerable currency in recent years. The empirical basis for this belief at present amounts to little more than reliable demonstrations that depressed mothers tend to report more behavior problems in their children than do nondepressed mothers. An obvious alternative to the distortion interpretation is that depressed mothers are accurate about their children's behavior problems. We examined these competing models by comparing teachers' ratings of children with ratings provided by their mothers, who varied on the dimensions of depressed mood, depressed clinical state, and history of depression. Mothers' and teachers' ratings yielded substantially similar portraits of child behavior problems at the group level, with children of in-remission and in-episode mothers manifesting significantly higher levels of behavior problems than children of control mothers. Moreover, agreement between mothers and teachers was in the moderate range for all index groups and did not differ significantly from the mean level of mother-teacher agreement reported by other investigators based on unselected samples. The limitations of these findings and of earlier reports for assessing a depression----distortion influence on mothers' ratings of their children are considered.     

Creative leadership: a new category or more of the same?

New categories of leadership are continually being invented. Because the ways we think are productive of the ways in which we act, it is important to hold these rhetorical innovations to account. This paper focuses on the latest of these categories – creative leadership. Mobilising a Foucauldian notion of ‘discourse’ I deconstruct the notion of creative leadership as it has recently been represented in five published texts. I suggest that the interpretation on offer has a determinist view of the future, ignores the history of debates about creativity, offers creativity as a generic skill and underestimates what it is that teachers and leaders might need to do in order to work creatively. I show that the notion of creative leadership on offer is strongly connected with that of creative learning, and put the ‘recipe’ offered by one set of texts into conversation with a body of empirical evidence about what is happening in schools that aim to promote creative learning. I argue that what is evident from the dialogue between the texts and the empirical studies is that it is pedagogical leadership that is absent but is actually most required, embedded in leadership/management principles and practices that promote social justice.     

An investigation of young children's academic arithmetic contexts

Research findings concerning students' interpretations of the equals sign appear to conflict with three recently developed models of early number development. It was hypothesized that the two groups of researchers investigated students' arithmetical understandings in situations that are, for most children, different contexts. Analysis of video-taped interviews conducted with 34 ending first grade children, drawn from five classrooms, supported this hypothesis. Interviews were conducted with the five classroom teachers and it was possible to relate the students' interpretations of the equals sign to social interaction patterns that typified classroom life during arithmetic instruction.     

Connaissances utilisées par des elèves de 8 à 12 ans dans la formulation de problèmes arithmétiques concrets

This study analyses children development of semantic, linguistic, procedural and schematic knowledge in the context of writing arithmetic word problems. 139 children aged between 8 and 12 years old were presented with a task which consisted in writing arithmetic word problems, according to some contraints: words, questions or measures to include in their problems; type of problems to write. Results show the relevance of actual theoritical models of problem solving (Mayer, 1983; Kintsch & Greeno, 1985). Schematic knowledge seem indeed more important than other knowledge in the process of writing arithmetic word problems; semantic knowledge are also used to choose relevant numbers or measures; the roles of linguistic and procedural knowledge seem less evident. Finally, some hypotheses related with the development of mental models of arithmetic word problems are formulated.     

Persistent arithmetic, reading, or arithmetic and reading disability

The achievement of 1,075 school children was followed to the end of grade 7 or 8. Retrospective details of birth, medical history, and infant adaptive behavior, as well as current information about preschool behavior, were provided by parents before kindergarten entry when their children were ages four to five. At that time, each child was given language, preacademic, and visual-motor tests, and a short-form verbal IQ was obtained. For grades 1 to 8, a mean 6.9 percent qualified as low in arithmetic (including 3.9 percent low only in arithmetic) and 9 percent as low in reading (including 6 percent low only in reading). Groups of children with persistent disability in arithmetic only (2.3 percent), reading only (6.6 percent), and arithmetic plus reading (3.4 percent) were compared on all variables, and gender differences were examined. The specific arithmetic group was superior to the other two groups in preschool verbal IQ and language, and had suffered more birth problems and illness. As found by Rourke and his colleagues (e.g., Rourke and Finlayson 1978) for older children, boys with a specific arithmetic disability showed a preschool profile with high verbal scores and low nonverbal scores. Many gender differences were found for the total sample, but few for the learning disability subgroups.     

Practicing Social Skills Training for Young Children with Low Peer Acceptance: A Cognitive-Social Learning Model

Peer acceptance during early childhood is related to children's academic achievement, adjustment in school, and even psychological well-being in adulthood. Children who experience low peer acceptance exhibit socially inappropriate behavior patterns, which are associated with irrelevant patterns of information processing. Therefore, as a way of helping children with low peer acceptance, a cognitive-social learning model of social skills training has been used because the model focuses on cognitive changes as well as behavioral changes. Three parts of the social skills training—enhancing skill concepts, promoting skill performance, and fostering skill maintenance/generalization—are discussed. In order to be successful, a trainer should understand the training model as well as behavioral patterns of children with low peer acceptance to provide theory-based and individualized feedback to each participant.     

Neurocognitive approaches to developmental disorders of numerical and mathematical cognition: The perils of neglecting the role of development

The present paper provides a critical overview of how adult neuropsychological models have been applied to the study of the atypical development of numerical cognition. Specifically, the following three assumptions are challenged: 1. Profiles of strength and weaknesses do not change over developmental time. 2. Similar neuronal structures are activated in children and adults, as well as the notion that 3. Similarities in behavioral performance imply equivalence in underlying neurocognitive mechanisms. Data from behavioral and neuroimaging studies with both typically and atypically developing children is reviewed to illustrate the pitfalls of these assumptions. The present review proposes that, instead of resting on adult neuropsychological models, the use of both cross-sectional and longitudinal methods is required to elucidate the age-related changes in brain and behavior that give rise to the breakdown of numeracy and mathematics. Empirical data derived from such studies will generate explanatory models of the development of atypical numerical cognition.     

Developing children's self-efficacy and skills: The roles of social comparative information and goal setting

How social comparative information and specific, proximal goals influence children's skillful performance and percepts of self-efficacy in the context of arithmetic competency development was explored. Low-achieving children in arithmetic received instruction in division and practice opportunities. One group was provided with social comparative information indicating the average number of problems solved by other children. A second group worked under conditions involving a goal of completing a given number of problems. A third group received both treatments, and a fourth group received neither treatment. Results yielded a significant main effect on perceived efficacy due to proximal goals. Children who received both goals and comparative information demonstrated the highest level of division skill. Results suggest exploring in greater detail how children weight and combine multiple sources of efficacy information.     

Promoting turn-taking skills in preschool children with disabilities: The effects of a peer-based social communication intervention

The current study evaluated the turn-taking skills of preschoolers with disabilities who participated in a social communication intervention that targeted initiations, responses, and turn-taking skills, and taught children to repair and revise and to avoid interruptions and overlaps. Ten children who enrolled in an inclusive at-risk classroom met the inclusion criteria. A multiple baseline design across two dyads replicated across three additional dyads was used to determine the effects of the intervention. The social communication intervention was highly effective for five children, moderately effective for three children, and mildly effective for two children in increasing the rate of initiations with an immediate peer response from baseline to intervention. The social communication intervention was highly effective for one child, moderately effective for three children, mildly effective for two children, and ineffective for four children in improving turn-taking skills. Generalization results showed that nine out of ten participants demonstrated increased peer play following the intervention, increased levels of child-initiated interactions with a positive peer response, and decreased levels of solitary play. Several implications for practice were derived from the findings. By teaching children turn-taking strategies, the quality of social interactions that children have with their peers is likely to improve. The intervention offers a more systematic technique for teaching social communication and play skills than do informal strategies commonly used by teachers. Social validity assessments indicated that teachers found the intervention acceptable and produced important changes in behavior.     

The Cognitive Correlates of Computational Estimation Skill Among Third‐Grade Students

The purpose of this study was to examine the relations of various cognitive abilities and aspects of math performance with computational estimation skill among third graders. Students (n= 315) were assessed on language, nonverbal reasoning, concept formation, processing speed, long‐term memory, working memory, inattentive behavior, basic reading skill, arithmetic number combination skill, double‐digit computation skill, and computational estimation ability. One‐way analysis of variance indicated significant differences in estimation skill among students of low, average, and high math computation performance. The unique predictors of estimation skill were arithmetic number combination skill, nonverbal reasoning, concept formation, working memory, and inattentive behavior.     

学前儿童解决算术应用题能力的培养研究

采用操作法、图示法和语言法,对120名4-7岁的学前儿童解答算术应用题的能力进行了为期两周的培养,结果发现:学前儿童解答算术应用题的成绩随年龄增长而提高;运用操作法解题的成绩最好,其次是图示法,运用语言法解题的成绩最差,培养学前儿童解答算术应用题的能力,应采用操作法、图示法等直观形象的方法;学前儿童解答转换题的成绩最高,其次是合并题,解答比较题的成绩最低。     

Learning basic addition facts from choosing between alternative answers

The acquisition of addition facts was investigated in a practice study. Participants were 103 Grade 1 children who practiced simple addition problems with three different methods: (a) writing down the answer, (b) choosing between two alternative answers, and (c) filling in the second missing addend. On a test with simple addition problems, children who practiced with the Choice method showed positive transfer: choosing between two answers was about as effective for learning addition facts as the conventional method of writing down the answer. There was no transfer effect for children who practiced with the Missing-Addend method. The results are in accordance with network theories on arithmetic fact learning and specifically the Identical Elements (IE) model of arithmetic fact representation.     

行为矫正原理在视障儿童学前教育中的应用

系统、客观处理人类行为的行为矫正技术被广泛应用于特教领域。结合视障儿童学前教育特点 ,将链锁法、消退法、正强化以及相互抑制等若干行为矫正原理应用于生活技能训练、语言教学以及其他行为和情绪问题矫正中取得显著成效     

Are There Domain–Specific Thinking Skills?

Adopting a much broader notion of thinking than that associated with the Critical Thinking movement, this paper addresses the question of thinking skill generality. An analysis of the concept of 'thinking skill' suggests ways in which this notion has been misapplied. The paper demonstrates the importance of thinking tasks and argues for a non–universalistic notion of thinking skill generality. The domains–view of thinking is assessed, evidence from secondary research being used to show that thinking skills are not domain–specific simply by virtue of being instantiated with disciplinary content. The prevalence of general procedural knowledge in our thinking practices notwithstanding, empirical evidence suggests the existence of at least two kinds of domain–specific thinking skills: those in which thinking is essentially the application of domain–specific declarative knowledge; and those addressing specialised, domain–specific, thinking tasks.     

3～5岁儿童特质识别中的行为频次效应和效价效应

以3岁、4岁和5岁组共111名儿童为被试,考察了学前儿童特质识别中的行为频次效应和效价效应。结果发现：首先,至少从3岁开始,儿童就能够根据他人的外部行为推断其特质,即进行特质识别;其次,与低频行为相比,高频行为条件下,儿童特质识别的成绩更高;最后,儿童特质识别中存在“积极偏向”,他们对积极行为的特质识别成绩显著高于对消极行为的特质识别成绩。     

Estimating the “Impact” of Out‐of‐Home Placement on Child Well‐Being: Approaching the Problem of Selection Bias

This study used data on 2,453 children aged 4–17 from the National Survey of Child and Adolescent Well‐Being and 5 analytic methods that adjust for selection factors to estimate the impact of out‐of‐home placement on children’s cognitive skills and behavior problems. Methods included ordinary least squares (OLS) regressions and residualized change, simple change, difference‐in‐difference, and fixed effects models. Models were estimated using the full sample and a matched sample generated by propensity scoring. Although results from the unmatched OLS and residualized change models suggested that out‐of‐home placement is associated with increased child behavior problems, estimates from models that more rigorously adjust for selection bias indicated that placement has little effect on children’s cognitive skills or behavior problems.     

Gender Differences in Arithmetic Strategy Use: A Function of Skill and Preference

This study was designed to examine whether first-grade boys' use of retrieval and first-grade girls' use of manipulatives reflected gender differences in their abilities to use these strategies or gender differences in preferences for strategy use. Eighty-four first-grade students, 42 boys and 42 girls, from two suburban elementary schools participated in this study. The children solved basic arithmetic problems under two conditions: a free-choice condition in which they were allowed to solve the problems any way they preferred and a game condition in which the children's strategy use was constrained so that all children used the same strategies on the same arithmetic problems. Strategy use during the free-choice session replicated the findings of earlier research indicating that girls tend to use strategies utilizing manipulatives and boys tend to use retrieval. During the game condition, when we controlled the types of strategies children used on different problems we found that boys were as able as girls to calculate solutions using manipulatives. Girls, however, were not as capable as boys in their retrieval of answers to arithmetic problems from memory. No differences were found in error rates or speed of retrieval. Gender differences were found in the variability of correct retrieval, with boys being significantly more variable than girls.     

Intertextuality and sense production in the learning of algebraic methods

In studies carried out in the 1980s the algebraic symbols and expressions are revealed through prealgebraic readers as non-independent texts, as texts that relate to other texts that in some cases belong to the reader’s native language or to the arithmetic sign system. Such outcomes suggest that the act of reading algebraic texts submerges the reader into a network of intertextual relations derived from that reader’s prior mathematics and linguistic experiences. In this article we propose an analytical perspective of algebraic activity that is based on intertextuality and that makes it possible to advance our knowledge concerning the production of sense in said activity. In particular, we resort to the notion of intertextuality as a means of theoretically describing and explaining sense production processes in the learning of two algebraic methods: the Cartesian Method (for the algebraic solution of word problems) and the Substitution Method (for the solution of systems of two linear equations with two unknowns). We support our arguments via a series of episodes of empirical study interviews with secondary school students, in order to demonstrate the pertinence and relevance of carrying out their analysis from the perspective proposed.