Visualization in learning and instruction: a cognitive approach

This article is based on the premise that instruction involves the control of cognitive processes by means of carefully selected instructional strategies. Visual cognitive processes having to do with perception, the assimilation of new information, and learning by means of analogy are examined, and particular instructional strategies by which each process can be controlled are identified. Ways of improving mental skills (i.e., those visual processes at which the learner is relatively adept) are discussed. Conclusions are drawn regarding relationships between visual learning and instruction, and implications for research and design are examined. Research for this article was conducted while the author was a visiting scholar in the Department of Instructional Technology, University of Southern California. The research was supported by a grant from the University of Calgary. The author wishes to thank Richard Clark for his helpful comments on an earlier draft of the article.     

Training self-assessment and task-selection skills: A cognitive approach to improving self-regulated learning

For self-regulated learning to be effective, students need to be able to accurately assess their own performance on a learning task and use this assessment for the selection of a new learning task. Evidence suggests, however, that students have difficulties with accurate self-assessment and task selection, which may explain the poor learning outcomes often found with self-regulated learning. In experiment 1, the hypothesis was investigated and confirmed that observing a human model engaging in self-assessment, task selection, or both could be effective for secondary education students’ (N = 80) acquisition of self-assessment and task-selection skills. Experiment 2 investigated and confirmed the hypothesis that secondary education students’ (N = 90) acquisition of self-assessment and task-selection skills, either through examples or through practice, would enhance the effectiveness of self-regulated learning. It can be concluded that self-assessment and task-selection skills indeed play an important role in self-regulated learning and that training these skills can significantly increase the amount of knowledge students can gain from self-regulated learning in which they choose their own learning tasks.     

Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability

Using strict and lenient mathematics achievement cutoff scores to define a learning disability, respective groups of children who are math disabled (MLD, n=15) and low achieving (LA, n=44) were identified. These groups and a group of typically achieving (TA, n=46) children were administered a battery of mathematical cognition, working memory, and speed of processing measures (M=6 years). The children with MLD showed deficits across all math cognition tasks, many of which were partially or fully mediated by working memory or speed of processing. Compared with the TA group, the LA children were less fluent in processing numerical information and knew fewer addition facts. Implications for defining MLD and identifying underlying cognitive deficits are discussed.     

Fact retrieval deficits in low achieving children and children with mathematical learning disability

Using 4 years of mathematics achievement scores, groups of typically achieving children (n = 101) and low achieving children with mild (LA-mild fact retrieval; n = 97) and severe (LA-severe fact retrieval; n = 18) fact retrieval deficits and mathematically learning disabled children (MLD; n = 15) were identified. Multilevel models contrasted developing retrieval competence from second to fourth grade with developing competence in executing arithmetic procedures, in fluency of processing quantities represented by Arabic numerals and sets of objects, and in representing quantity on a number line. The retrieval deficits of LA-severe fact retrieval children were at least as debilitating as those of the children with MLD and showed less across-grade improvement. The deficits were characterized by the retrieval of counting string associates while attempting to remember addition facts, suggesting poor inhibition of irrelevant information during the retrieval process. This suggests a very specific form of working memory deficit, one that is not captured by many typically used working memory tasks. Moreover, these deficits were not related to procedural competence or performance on the other mathematical tasks, nor were they related to verbal or nonverbal intelligence, reading ability, or speed of processing, nor would they be identifiable with standard untimed mathematics achievement tests.     

Role of cognitive theory in the study of learning disability in mathematics

Gersten, Jordan, and Flojo (in this issue) provide the beginnings of an essential bridge between basic research on mathematical disabilities (MD) in young children and the application of this research for the early identification and remediation of these forms of learning disability. As they acknowledge, the field of MD is in the early stages of development, and thus recommendations regarding identification measures and remedial techniques must be considered preliminary. I discuss the importance of maintaining a tight link between theoretical and empirical research on children's developing numerical, arithmetical, and mathematical competencies and future research on learning disabilities in mathematics. This link will provide the foundation for transforming experimental procedures into assessment measures, understanding the cognitive strengths and weaknesses of children with these forms of learning disability, and developing remedial approaches based on the pattern of cognitive strengths and weaknesses for individual children.     

Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia)

Many children have significant mathematical learning disabilities (MLD, or dyscalculia) despite adequate schooling. The current study hypothesizes that MLD partly results from a deficiency in the Approximate Number System (ANS) that supports nonverbal numerical representations across species and throughout development. In this study of 71 ninth graders, it is shown that students with MLD have significantly poorer ANS precision than students in all other mathematics achievement groups (low, typically, and high achieving), as measured by psychophysical assessments of ANS acuity (w) and of the mappings between ANS representations and number words (cv). This relation persists even when controlling for domain-general abilities. Furthermore, this ANS precision does not differentiate low-achieving from typically achieving students, suggesting an ANS deficit that is specific to MLD.     

Number magnitude processing and basic cognitive functions in children with mathematical learning disabilities

The study sought out to extend our knowledge regarding the origin of mathematical learning disabilities (MLD) in children by testing different hypotheses in the same samples of children. Different aspects of cognitive functions and number processing were assessed in fifth- and sixth-graders (11–13 years old) with MLD and compared to controls. The MLD group displayed weaknesses with most aspects of number processing (e.g., subitizing, symbolic number comparison, number-line estimation) and two cognitive functions (e.g., visual–spatial working memory). These findings favor the defective approximate number system (ANS) hypothesis, but do not fit well with the access deficit hypothesis. Support is also provided for the defective object-tracking system (OTS) hypothesis, the domain general cognitive deficit hypothesis and to some extent the defective numerosity-coding hypothesis. The study suggests that MLD might be caused by multiple deficits and not a single core deficit.     

A machine learning approach to investigating the effects of mathematics dispositions on mathematical literacy

Mathematics competency is fast becoming an essential requirement in ever greater parts of day-to-day work and life. Thus, creating strategies for improving mathematics learning in students is a major goal of education research. However, doing so requires an ability to look at many aspects of mathematics learning, such as demographics and psychological dispositions, in an integrated way as part of the same system. Large-scale assessments such as the Programme for International Student Assessment (PISA) provide an accessible and large volume of coherent data, and this gives researchers the opportunity to employ data-driven approaches to gain an overview of the system. For these reasons, we have used machine learning to explore the relationships between psychological dispositions and mathematical literacy in Australian 15-year-olds using the PISA 2012 data set. Our results from this strongly data-driven approach re-affirm the primacy of mathematics self-efficacy and highlight novel complex interactions between mathematics self-efficacy, mathematics anxiety and socio-economic status. In this paper, we demonstrate how education researchers can usefully employ data-driven modelling techniques to find complex non-linear relationships and novel interactions in a multidimensional data set.     

A mathematical model for mastery learning

Prior research on mastery learning has examined relationships between achievement and time on task, motivation variables, as well as the effects of prior learning. One can show that the results of prior research lead to certain requirements on a model for mastery learning. This article uses those requirements to develop a mathematical model for mastery learning. This model includes measures of a motivational factor and of the specific ability of a learner with respect to the content being learned. The model also contains a variable to reflect prior learning. The model has been developed to include a computer program which accepts student data and from which predictions can be made and tested. Assumptions and limitations of the model are discussed, and some research questions are raised. In most respects the model proposed in this article is susceptible to the same tests and refinements as an empirical law in the physical or life sciences.     

Task-related variation in communication of mothers and their sons with learning disability

The purpose of the present study was to examine whether mother-child communication patterns vary as a function of the type of the task. Groups of learning disabled (LD=30) and normally achieving boys (NLD=30) were videotaped interacting with their mothers in two different tasks. The children were matched for age (8 to 11 year-olds) and for parent’s SES. The results indicated that the teaching task differentiated the groups more than did the story task. Academic character of the teaching task increased mothers’ task involvement in both groups. Mothers of the LD group showed, however, significantly more dominance and expressed less emotionality while teaching their child. Mothers’ interaction partly followed from their children’s behaviour on this task. The children with LD did not cooperate with their mothers and were not emotionally involved in the teaching task as highly as were the normally achieving children. Corresponding features of interaction were not found for the LD group in the story task. Consistency of children’s communication across the tasks was significant in the LD group. The normally achieving boys were more responsive to changes in task conditions showing different behavior as a function of task.     

A Foucaultian critique of learning disability discourses: personal narratives and science

In this article, I present a critical discourse analysis (CDA) of two discourses in learning disabilities (LD) – the academic research literature on emotions of students labeled as LD and retrospective autobiographies from adults labeled as LD writing about their emotions as students. Drawing mainly on Foucaultian explanations of power, I investigate how these two discourses differentially position persons labeled as LD as human subjects. I raise research and theoretical concerns to further interpret power as discursively and historically situated and point out opportunities for resisting ways the dominant positivist, scientific discourse positions students labeled as LD.     

Mining students' learning patterns and performance in Web-based instruction: a cognitive style approach

Personalization has been widely used in Web-based instruction (WBI). To deliver effective personalization, there is a need to understand different preferences of each student. Cognitive style has been identified as one of the most pertinent factors that affect students' learning preferences. Therefore, it is essential to investigate how learners with different cognitive styles interact with WBI programs. This paper presents an empirical study, which examines the effects of cognitive styles on students' learning patterns and the effects of learning patterns on their learning performances. Riding's cognitive style analysis was used to identify the students' cognitive styles. Data mining, especially a clustering technique, was used to analyze the results. It was found that field independent students frequently used an alphabetical index whereas field dependent students often chose a hierarchical map. Such learning patterns also have great effects on their performance, especially for field dependent students.     

Retirement and learning: A longitudinal qualitative approach

This paper discusses retirement as a learning process, where learning, be it formal or informal, enables retirees to adjust to the transition from work to retirement. Such discussion is important given the fact that the world population is aging and that more people are retiring in the next few decades. Moreover, people are experiencing an increased length of retirement due to longer lifespan. Promoting the retirement experience as a productive learning process will bring huge social benefits to impact all involved, including the individual retirees themselves. Much early retirement research considered retirement as a monolithic event, which affects all retirees in similar ways, thereby justifying a cross-sectional approach to take a snapshot of the adjustment process. Such approach falls short of capturing the dynamic process that is characteristic of the retirement transition; and masks individual differences as retirees conceptualize, experience, and negotiate their own ways through the process of adaptation as it unfolds during the transition from work to retirement. This paper argues that in order to obtain in-depth understanding of the individual experiences in the retirement transition and to gain insight into the role of learning in the process, we need to use a qualitative, longitudinal approach to track and reflect the different patterns of change for retirees at different points in time. By examining the process of change and the retirement experiences of retirees using a longitudinal qualitative approach, we should be able to illustrate, how an individual learn to experience and adapt to retirement, so as to support the claim that the retirement process is unique and that learning is an integral part of that process.     

Age and developmental level as antecedents of science learning

Over the past decade, developmental theory has occupied a central role in science education instructional theory and empirical research. The purpose of the present study is to quantitatively synthesize studies relating age (or grade) and developmental level to science learning among grade 6-12 students over the 1963-1978 period. Twenty-seven studies were reviewed. Annual increments observed in measures of developmental level were consistent with current theory, and annual increments in cognitive achievement were relatively constant over the grade 4-9 interval. Measures of student ability were found to be better predictors of cognitive achievement than developmental measures; age and grade level were weakly related to developmental level and cognitive achievement, showing only significant correlations across grade levels.     

Peer assessment as collaborative learning: A cognitive perspective

Peer assessment is an important component of a more participatory culture of learning. The articles collected in this special issue constitute a representative kaleidoscope of current research on peer assessment. In this commentary, we argue that research on peer assessment is currently in a stage of adolescence, grappling with the developmental tasks of identity formation and affiliation. Identity formation may be achieved by efforts towards a shared terminology and joint theory building, whereas affiliation may be reached by a more systematic consideration of research in related fields. To reach identity formation and affiliation, preliminary ideas for a cognitively toned, process-related model of peer assessment and links to related research fields, especially to research on collaborative learning, are presented.     

隐喻的认知观

隐喻是人类一切语言的普遍现象。认知语言学认为隐喻不仅是文学创作中的修辞现象,更是一种思维认知方式,在人类思维的过程中起着重要作用。从认知语言学的角度来分菥和探讨语言中的隐喻现象,旨在探究隐喻研究由修辞到认知的历史发展走向,隐喻认知本质及其产生的认知心理基础,隐喻的认知功能以及隐喻是如何生成和理解的。