Nonverbal Ability and Scientific Vocabulary Predict Children's Causal Reasoning in Science Better than Generic Language

Verbal and nonverbal forms of thinking exhibit widespread dissociation at neural and behavioral level. The importance of this for children's causal thinking and its implications for school science are largely unknown. Assessing 5‐ to 10‐year‐olds' responses (N = 231), verbal ability predicted causal reasoning, but only at lower levels, while nonverbal ability was the strongest predictor at higher levels of causal inference. We also distinguished between generic and scientific vocabulary use (n = 101). The results showed that use of scientific vocabulary predicted causal reasoning beyond generic, and connected more to nonverbal thinking. The findings highlighted the importance of elementary school science activities supporting application of nonverbal ability in thinking about causal processes; the benefits of linking nonverbal imagery to scientific vocabulary; and shortcomings in understanding of the forms/sources of nonverbal ability and their role in learning.     

Examining the unique contributions and developmental stability of individual forms of relational reasoning to mathematical problem solving

Relational reasoning, a higher-order cognitive ability that identifies meaningful patterns among information streams, has been suggested to underlie STEM development. This study attempted to explore the potentially unique contributions of four forms of relational reasoning (i.e., analogy, anomaly, antinomy, and antithesis) to mathematical problem solving. Two separate samples, fifth graders (n = 254) and ninth graders (n = 198), were assessed on their mathematical problem solving ability and the different forms of relational reasoning ability. Linear regression analysis was conducted, with participants’ age, working memory, and spatial skills as covariates. The results showed that analogical and antithetical reasoning abilities uniquely predicted mathematical problem solving. This pattern demonstrated developmental stability across a four-year time frame. The findings clarify the unique significance of individual forms of relational reasoning to mathematical problem solving and call for a shift of research direction to reasoning abilities when exploring dissimilarity-based relations (opposites in particular).     

Measuring Relational Reasoning

Relational reasoning is the foundational cognitive ability to discern meaningful patterns within an informational stream, but its reliable and valid measurement remains problematic. In this investigation, the measurement of relational reasoning unfolded in three stages. Stage 1 entailed the establishment of a research-based conceptualization of the construct and the development of a corresponding Test of Relational Reasoning (TORR). Stage 2 focused on the reliability and validity of data from the TORR. Analyses showed the data from the TORR to be reliable indicators of students' ability to reason relationally, and TORR performance predicted students' performance on SAT verbal and math problems. Stage 3 examined the underlying structure of the construct through Confirmatory Factor Analysis (CFA). Of the three CFA models tested, models with dedicated factors for analogical, anomalous, antinomous, and antithetical reasoning were deemed the best fit for the data.     

Balancing Plan-Driven and Agile Methods in Software Engineering Project Courses

Abstraction is a major concept in computer science and serves as a powerful tool in software development. Pattern-oriented instruction (POI) is a pedagogical approach that incorporates patterns in an introductory computer science course in order to structure the learning of algorithmic problem solving. This paper examines abstraction processes in the course of solving an algorithmic problem and highlights three distinct, although interrelated, facets of abstraction: pattern recognition, black-boxing, and structure identification. A study that examined the influence of the POI approach on students' abstraction skills is described; students who learned according to the POI approach were compared with students who learned in a traditional manner with regard to analogical reasoning and problem decomposition and solution, as well as verbal expression. The three facets of abstraction were used to analyze students' abstraction skills and their competency in algorithmic problem solving.     

Analogical Reasoning in the Classroom: Insights From Cognitive Science

Applying knowledge from one context to another is a notoriously difficult problem, both for children and adults, but lies at the heart of educational endeavors. Analogical reasoning is a cognitive underpinning of the ability to notice and draw similarities across contexts. Reasoning by analogy is especially challenging for students, who must transfer in the context‐rich and often high‐pressure settings of classrooms. In this brief article, we explore how best to facilitate children's analogical reasoning, with the aim of providing practical suggestions for classroom instruction. We first discuss what is known about the development and neurological underpinnings of analogical reasoning, and then review research directly relevant to supporting analogical reasoning in classroom contexts. We conclude with concrete suggestions for educators that may foster their students' spontaneous analogical reasoning and thereby enhance scholastic achievement.     

Reasoning strategies of students in solving chemistry problems as a function of developmental level,functional M‐capacity and disembedding ability

Achievement in science depends among other factors on hypothetico‐deductive reasoning ability, that is, developmental level of the students. Recent research indicates that the developmental level of students should be studied along with individual difference variables, such as Pascual‐Leone's M‐capacity (information processing) and Witkin's Cognitive Style (disembedding ability). The purpose of this study is to investigate reasoning strategies of students in solving chemistry problems as a function of developmental level, functional M‐capacity and disembedding ability. A sample of 109 freshman students were administered tests of formal operational reasoning, functional M‐capacity, disembedding ability and chemistry problems (limiting reagent, mole, gas laws). Results obtained show that students who scored higher on cognitive predictor variables not only have a better chance of solving chemistry problems, but also demonstrated greater understanding and used reasoning strategies indicative of explicit problem‐solving procedures based on the hypothetico‐deductive method, manipulation of essential information and sensitivity to misleading information. It was also observed that students who score higher on cognitive predictor variables tend to anticipate important aspects of the problem situation by constructing general figurative and operative models, leading to a greater understanding. Students scoring low on cognitive predictor variables tended to circumvent cognitively more demanding strategies and adopt others that helped them to overcome the constraints of formal reasoning, information processing and disembedding ability.     

Sources of Individual Differences in Children's Understanding of Fractions

Longitudinal associations of domain‐general and numerical competencies with individual differences in children's understanding of fractions were investigated. Children (n = 163) were assessed at 6 years of age on domain‐general (nonverbal reasoning, language, attentive behavior, executive control, visual‐spatial memory) and numerical (number knowledge) competencies; at 7 years on whole‐number arithmetic computations and number line estimation; and at 10 years on fraction concepts. Mediation analyses controlling for general mathematics ability and general academic ability revealed that numerical and mathematical competencies were direct predictors of fraction concepts, whereas domain‐general competencies supported the acquisition of fraction concepts via whole‐number arithmetic computations or number line estimation. Results indicate multiple pathways to fraction competence.     

Transformations and Transfer: Preschool Children Understand Abstract Relations and Reason Analogically in a Causal Task

Previous research suggests that preschoolers struggle with understanding abstract relations and with reasoning by analogy. Four experiments find, in contrast, that 3- and 4-year-olds (N = 168) are surprisingly adept at relational and analogical reasoning within a causal context. In earlier studies preschoolers routinely favored images that share thematic or perceptual commonalities with a target image (object matches) over choices that match the target along abstract relations (relational matches). The present studies embed such choice tasks within a cause-and-effect framework. Without causal framing, preschoolers strongly favor object matches, replicating the results of previous studies. But with causal framing, preschoolers succeed at analogical transfer (i.e., choose relational matches). These findings suggest that causal framing facilitates early analogical reasoning.     

The association between mathematical word problems and reading comprehension

This study aimed to investigate the interplay between mathematical word problem skills and reading comprehension. The participants were 225 children aged 9–10 (Grade 4). The children’s text comprehension and mathematical word problem‐solving performance was tested. Technical reading skills were investigated in order to categorise participants as good or poor readers. The results showed that performance on maths word problems was strongly related to performance in reading comprehension. Fluent technical reading abilities increased the aforementioned skills. However, even after controlling for the level of technical reading involved, performance in maths word problems was still related to reading comprehension, suggesting that both of these skills require overall reasoning abilities. There were no gender differences in maths word problem‐solving performance, but the girls were better in technical reading and in reading comprehension. Parental levels of education positively predicted children’s maths word problem‐solving performance and reading comprehension skills.     

The validity of certain subtests of the ITPA,WISC, and stanford-binet as measures of analogical reasoning

Certain subtests of the WISC, ITPA, and Stanford-Binet are used as measures of analogical reasoning. Because several facts suggested that the form of analogy used on these subtests does not require subjects to engage in true analogical reasoning, the validity of these subtests as measures of analogical reasoning was investigated. Two forms of verbal analogies were vised: quasi-analogies (the form used on the WISC, ITPA, and Stanford-Binet) which presented the problem in sentence form (a bird uses air; a fish uses. ); and true analogies which presented the problem in the form cf a proportion (bird is to air as fish is to…). Subjects were 9-, 12-, and 15-year old children. These ages were used because children below 12 years of age do not appear to have the cognitive skills necessary for analogical reasoning. Nine-year old subjects obtained significantly higher scores on quasi-analogies in comparison to true analogies. There were no significant differences for the older subjects. Because of this it was suggested that the “analogy” items on the WISC, ITPA and Stanford-Binet are inappropriate test items for assessing analogical reasoning.     

Assessing the cognitive abilities of culturally and linguistically diverse students: Predictive validity of verbal,quantitative, and nonverbal tests

Verbal and quantitative reasoning tests provide valuable information about cognitive abilities that are important to academic success. Information about these abilities may be particularly valuable to teachers of students who are English‐language learners (ELL), because leveraging reasoning skills to support comprehension is a critical aptitude for their academic success. However, due to concerns about cultural bias, many researchers advise exclusive use of nonverbal tests with ELL students despite a lack of evidence that nonverbal tests provide greater validity for these students. In this study, a test measuring verbal, quantitative, and nonverbal reasoning was administered to a culturally and linguistically diverse sample of students. The two‐year predictive relationship between ability and achievement scores revealed that nonverbal scores had weaker correlations with future achievement than did quantitative and verbal reasoning ability scores for ELL and non‐ELL students. Results do not indicate differential prediction and do not support the exclusive use of nonverbal tests for ELL students. © 2012 Wiley Periodicals, Inc.     

非言语学习困难青少年空间和非空间关系推理策略分析

目的:探讨非言语学习困难青少年二维空间和非空间关系推理策略。方法:从初中二年级选取三组被试:非言语学习困难组(简称NLD)、言语学习困难组(简称VLD)和一般组(简称C)。结果:(1)NLD组空间关系推理成绩显著低于一般组;(2)在空间关系推理中,两类单模题推理成绩显著高于双模题。在非空间关系推理中,有无关前提的题推理成绩显著高于没有无关前提的题;(3)一般组正确运用模型建构策略显著高于NLD和VLD组。结论:NLD青少年通过建构模型解决空间关系推理,但不能有效运用该策略,非空间关系推理则采用逻辑规则策略。     

Children's Reasoning as Collective Social Action through Problem Solving in Grade 2/3 Science Classrooms

Research on young children's reasoning show the complex relationships of knowledge, theories, and evidence in their decision-making and problem solving. Most of the research on children's reasoning skills has been done in individualized and formal research settings, not collective classroom environments where children often engage in learning and reasoning together to solve classroom problems. This study posits children's reasoning as a collective social activity that can occur in science classrooms. The study examined how children process their reasoning within the context of Grade 2/3 science classrooms and how the process of collectivity emerges from classroom interactions and dialogue between children as they attempt to solve their classroom problems. The study findings suggest that children's reasoning involves active evaluation of theories and evidence through collective problem solving, with consensus being developed through dialogical reasoning.     

Conjecturing via reconceived classical analogy

Analogical reasoning is believed to be an efficient means of problem solving and construction of knowledge during the search for and the analysis of new mathematical objects. However, there is growing concern that despite everyday usage, learners are unable to transfer analogical reasoning to learning situations. This study aims at facilitating analogy use for conjecturing in discourse-rich mathematics classrooms. We reconceptualized one of the traditional perspectives on analogical reasoning, called classical analogy, as a more dynamic one by providing learners with the opportunity to choose a target object and its property. While shifting attention to particular aspects of mathematical activity, we observed and analyzed how students became aware of hidden relational similarities and utilized them while weakening others to make conjectures. The detailed analysis of the constructs and processes of several similarity-making and conjecturing activities supports the significance of reconceived classical analogy use in mathematics classrooms.     

Executive function and early reading skills

The purpose of this study was to examine how executive function skills in verbal and nonverbal auditory tasks are related to early reading skills in beginning readers. Kindergarteners (N = 41, aged 5 years) completed verbal (phonemes) and nonverbal (environmental sounds) Continuous Performance tasks yielding measures of executive function (misses, false alarms, and shift) as well as reaction time and D-Prime (sensitivity). Year-end measures of early reading skill included tests of phoneme awareness, letter knowledge, as well as reading (words and nonwords). The children made more errors on the verbal than the nonverbal tasks, suggesting that executive function abilities may differ by task. Adding to the literature on the role of inhibitory skills in reading, verbal inhibitory executive function skills were tied more closely to early reading than other verbal or nonverbal skills when age, short-term memory, and vocabulary were controlled.     

Students' Pre- and Post-Teaching Analogical Reasoning When They Draw their Analogies

Analogies are parts of human thought. From them, we can acquire new knowledge or change that which already exists in our cognitive structure. In this sense, understanding the analogical reasoning process becomes an essential condition to understand how we learn. Despite the importance of such an understanding, there is no general agreement in cognitive science literature about this issue. In this study, we investigated students' analogical reasoning as a creative process where an environment was set up to foster the students' generating and explaining their own analogies. Data were gathered from pre- and post-teaching interviews, in which the 13–14-year-old students were asked to make comparisons that could explain how atoms are bound. Such data supported the discussion about how students reasoned analogically. Our results made it evident that the task aims and the students' salient knowledge exerted a great influence on the drawing of analogies.     

Verbal and spatial analogical reasoning in deaf and hearing children: the role of grammar and vocabulary

The extent to which cognitive development and abilities are dependent on language remains controversial. In this study, the analogical reasoning skills of deaf and hard of hearing children are explored. Two groups of children (deaf and hard of hearing children with either cochlear implants or hearing aids and hearing children) completed tests of verbal and spatial analogical reasoning. Their vocabulary and grammar skills were also assessed to provide a measure of language attainment. Results indicated significant differences between the deaf and hard of hearing children (regardless of type of hearing device) and their hearing peers on vocabulary, grammar, and verbal reasoning tests. Regression analyses revealed that in the group of deaf and hard of hearing children, but not in the hearing group, the language measures were significant predictors of verbal analogical reasoning, when age and spatial analogical reasoning ability were controlled for. The implications of these findings are discussed.     

Analogy construction versus analogy solution, and their influence on transfer

This study compares transfer performed by subjects trained to solve verbal analogies, with transfer by subjects trained to construct them. The first group (n = 57) received instruction in a strategy to solve verbal analogies and the second group (n = 66) was trained in strategies for constructing such analogies.Before and after intervention, all subjects received three analogical tasks: verbal, figural and numerical. The success rate was measured by an effectiveness measure. Even though both interventions improved performance, the construction group scored higher results in the numerical and figural analogy tasks. Following Sternberg's “componential sub-theory of intelligence”, the constructors' advantage is attributed primarily to higher-level activation of the three significant metacomponents: problem recognition, strategy planning and supervision in task performance.