Revisiting the dimensionality of subjective task value: Towards clarification of competing perspectives

Expectancy-value researchers have described the components of subjective task value in multiple ways, leading to multiple competing structural representations of subjective task value data. The purpose of this study was to examine these competing multidimensional factor structures by comparing correlated factor, hierarchical, and bifactor representations of both confirmatory factor analysis and exploratory structural equation modeling (ESEM) models across three theoretical conceptualizations of subjective task value. Results indicate that, in an undergraduate life science learning context (n = 334), the best representation for subjective task value data was a bifactor ESEM model that allowed for the disentangling of general and specific variance of general subjective task value, specific value beliefs, and specific costs. Full measurement invariance of the retained structure across continuing generation and first-generation students was found, and no differential item functioning was found across gender. General subjective task value and specific opportunity cost significantly and positively predicted achievement and specific utility value significantly and negatively predicted achievement, providing support for the criterion-related validity of the general and specific factors for predicting achievement outcomes.     

Age of acquisition and the completeness of phonological representations

The age of acquisition effect(faster recognition and production of earlierlearnt than later learnt words) is a robustfinding in both picture naming and written wordrecognition and naming. One possibleexplanation of this effect is the PhonologicalCompleteness Hypothesis of Brown and Watson[(1987) Memory & Cognition 15: 208–216], which proposes that early acquired wordsare recognised and produced faster than lateacquired words because they have lessfragmented phonological representations. Thoughoften cited, this hypothesis has never beentested experimentally. The present study setout to test this hypothesis using aphonological segmentation task. If earlyacquired words are stored in a more completeform, then adult participants should be slowerto segment early words than late acquiredwords. In addition, if the AoA effect is aconsequence of the quality of an individual'sphonological representations then there shouldbe a clear relationship between phonologicalskill (as measured by the phonologicalsegmentation task) and the magnitude of the AoAeffect size. In order to assess therelationships between phonological skill andthe AoA effect in adults, participants werealso given a word and nonword naming task. Theword naming task manipulated AoA andspelling-sound consistency. The results of thesegmentation task failed to provide any supportfor Brown and Watson's (1987) phonologicalcompleteness hypothesis. Phonological skill wasfound to predict the size of the AoA effect inthe word naming task, but not the size of theAoA effect in the segmentation task.     

The array representation and primary children’s understanding and reasoning in multiplication

We examine whether the array representation can support children’s understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a ‘representational-reasoning’ model of understanding, where understanding is seen as connections being made between mental representations of concepts, with reasoning linking together the different parts of the understanding. We examine in detail the implications of this model, drawing upon the wider literature on assessing understanding, multiple representations, self explanations and key developmental understandings. Having also established theoretically why the array representation might support children’s understanding and reasoning, we describe the results of a study which looked at children using the array for multiplication calculations. Children worked in pairs on laptop computers, using Flash Macromedia programs with the array representation to carry out multiplication calculations. In using this approach, we were able to record all the actions carried out by children on the computer, using a recording program called Camtasia. The analysis of the obtained audiovisual data identified ways in which the array representation helped children, and also problems that children had with using the array. Based on these results, implications for using the array in the classroom are considered.     

A network model of referent identification by toddlers in a visual world task

We present a neural network model of referent identification in a visual world task. Inputs are visual representations of item pairs unfolding with sequences of phonemes identifying the target item. The model is trained to output the semantic representation of the target and to suppress the distractor. The training set uses a 200-word lexicon typically known by toddlers. The phonological, visual, and semantic representations are derived from real corpora. Successful performance requires correct association between labels and visual and semantic representations, as well as correct location identification. The model reproduces experimental evidence that phonological, perceptual, and categorical relationships modulate item preferences. The model provides an account of how language can drive visual attention in the inter-modal preferential looking task.     

Lexical- and sentence-level processes in comprehension of written sentences

Two experiments and three measures of lexical skills (word finding, rapid automatized naming, receptive vocabulary) were administered to 24 third and 24 fifth graders. Each experiment included two between-subject variables (grade and sex) and four within-subject variables (mode of sentence presentation – one word and one-sentence-at-a-time; word type – orthographic, phonological and semantic foils; position of foil in sentence – beginning, middle, and end; and sentence type – meaningful and nonsense). The experiments contrasted on reading comprehension task: receptive sentence acceptability (Experiment 1) or expressive sentence reproduction (Experiment 2). One-word-at-a-time presentation, which highlights the lexical unit, resulted in better accuracy on the expressive task that required verbatim reproduction than on the forced choice receptive task. Word finding and rapid automatized naming that require active production of phonologically-referenced name codes, but not receptive vocabulary, were correlated with measures of word recognition and reading comprehension in the experiments and on the psychometric tests. These results are consistent with Perfetti's contention that a phonologically-based name code is the heart of lexical access.     

Variability in Reading Scores on a Given Level of Intelligence Test Scores

ABSTRACT

Previous studies have shown that several key variables influence student achievement in geometry, but no research has been conducted to determine how these variables interact. A model of achievement in geometry was tested on a sample of 102 high school students. Structural equation modeling was used to test hypothesized relationships among variables linked to successful problem solving in geometry. These variables, including motivation, achievement emotions, pictorial representation, and categorization skills, were examined for their influence on geometry achievement. Results indicated that the model fit well. Achievement emotions, specifically boredom and enjoyment, had a significant influence on student motivation. Student motivation influenced students’ use of pictorial representations and achievement. Pictorial representation also directly influenced achievement. Categorization skills had a significant influence on pictorial representations and student achievement. The implications of these findings for geometry instruction and for future research are discussed.     

Uses of cognitive science to science education

The paper looks for common ground between cognitive science and science education starting from historical roots. Topics critically scrutinized are: representation of knowledge with applications of the schema and frame concept to physics education centering around the hierarchical structure of knowledge, the qualitative-quantitative distinction, the declarative-procedural distinction, and the semantic-episodic distinction; the uses of network versus production system representations, stressing the distinction between outward and inward representation which is often neglected; a short discussion of the likewise often forgotten index and reference issue.The paper has been presented to the ATEE Symposium on Implications of Cognitive Science for the Education of Science Teachers IPN (Kiel) 29.–30.08.1985.     

How Do Humans Acquire Knowledge? And What Does That Imply About the Nature of Knowledge?

This paper offers a resolution to the debate between constructivists andrealists regarding the epistemological status of human knowledge. Evidence in the form of three case studies and one experimentalstudy is presented. The conclusion drawn is that knowledge acquisitioninvolves a pattern of idea (representation) generation and test that, whencast in the form of a verbal argument, follows an If/then/Thereforepattern. Self-generated ideas/representations are tested by comparingexpected and observed outcomes. Ideas may be retained or rejected,but can not be proved or disproved. Therefore, absolute Truth aboutany and all ideas, including the idea that the external world exists, isunattainable. Yet learning at all levels above the sensory-motor requiresthat one assume the independent existence of the external world becauseonly then can the behavior of the objects in that world be used to testsubsequent higher-order ideas. In the final analysis, ideas – includingscientific hypotheses and theories – stand or fall, not due to socialnegotiation, but due to their ability to predict future events. Althoughthe knowledge acquisition process has limitations, its use neverthelessresults in increasingly useful representations about an assumed to existexternal world as evidenced by technological progress that is undeniablybased on sound scientific theory. The primary instructional implicationis that science instruction should remain committed to helping studentsunderstand the crucial role played by hypotheses, predictions and evidencein learning.     

A model to design interactive learning environments for children with visual disabilities

Current interactive learning environments cannot be accessed by learners with disabilities, in particular for students with vision disabilities. Modeling techniques are necessary to map real-world experiences to virtual worlds by using 3D auditory representations of objects for blind people. In this paper, a model to design multimedia software for blind learners is presented. The model was validated with existing educational software for these users. We describe the modeling of the real world including cognitive usability testing tasks by considering not only the representation of the real world but also modeling the learner’s knowledge of the virtual world. The software architecture is also described by using this model, displaying the components needed to impact learning. Finally, we analyze critical issues in designing software for learners with visual disabilities and propose some recommendations and guidelines.     

Spoken vocabulary growth: Its role in the development of phoneme awareness and early reading ability

In this paper, two theoretical positionsregarding the developmental origins of thephoneme as a unit for lexical representationand processing are outlined – theaccessibility and emergent positions. OurLexical Restructuring Model (Metsala & Walley1998), which is consistent with the secondposition, focuses on the role of vocabularygrowth in prompting the implementation of morefine-grained, segmental representations forlexical items in childhood; this restructuringis viewed as an important precursor to theexplicit segmentation or phoneme awarenessskills implicated in early reading success.Empirical evidence that supports this model issummarized, including preliminary results fromone of our most recent studies. Severalsuggestions are made for future research thatwill lead to a better understanding of thedevelopment of spoken word recognition and thelinks between speech- and reading-relatedabilities.     

Comparing US and Japanese Elementary School Teachers' Facility for Linking Rational Number Representations

Using cognitive ethnography as a guiding framework, we investigated US and Japanese fourth-grade teachers' domain knowledge of key fraction representations in individual interviews. The framework focused on revealing cultural trends in participants' organization of knowledge and their interpretations of that organization. Our analyses of the interviews, which included a representation sorting task, indicated three major differences that defined US and Japanese teachers' approaches to rational number representation: (1) Japanese teachers interpreted all rational number representations as conveying primarily mathematical information, whereas US teachers interpreted only some representations as conveying primarily mathematical information; (2) the US teachers focused more intently on part-whole relations than Japanese in their interpretations; and (3) Japanese teachers more easily linked rational number representations to more advanced upcoming content in the curriculum. A review of US textbooks used by the teachers reflected their consistency with US teachers' interpretations of the representations. These findings imply that strong cultural differences underlay the approaches that teachers in both nations take to rational number representation and that these differences may help explain established cross-national differences in student reasoning.     

Background knowledge and the construction of a situational representation from a diagram

Comprehension of a diagram requires viewers to construct from its graphic constituents a mental representation that captures the situational entities and relationships referred to by the diagram. However, this implies viewers possess appropriate background knowledge concerning the depicted situation. Meteorologists' and non-meteorologists' mental representations were investigated using a three-stage card sorting task during which subjects generated hierarchical groupings of the graphic elements of an Australian weather map diagram. Cluster analysis indicated that the two subject groups differed fundamentally in the basis of their sorting behaviour. Subjects' justifications of the groupings suggested that non-meteorologists' mental representation of the diagram elements was primarily based upon domain-general, visuospatial characteristics whereas in meteorologists' representations, these characteristics were subservient to a domain-specific, situational interpretation of the graphic array. The findings indicate that background knowledge deficiencies may make it difficult for learners beginning study of a domain to construct suitable mental representations from domain-related diagrams.     

Contribution of Executive Functions to Learning Sequential Actions in Young Children

This study examined whether executive functions impact how flexibly children represent task context in performing repeated sequential actions. Japanese children in Experiments 1 (N = 52; 3–6 years) and 2 (N = 50, 4–6 years) performed sequential actions repeatedly; one group received reminders. Experiment 1 indicated that reminders promote flexible changes in contextual representations. Experiment 2 observed such effects in younger children and showed executive functions were associated with the flexible representation of task context. Reminders did not perfectly compensate for the role of executive functions but wiped out individual differences in executive functions that contribute to children’s acquisition of routines. Therefore, setting goals before context-dependent actions is necessary, but not sufficient, to modulate contextual representations in routines.     

Translation of representations of the structure of matter and its relationship to reasoning,gender, spatial reasoning,and specific prior knowledge

The purpose of this study was to characterize high school chemistry students' ability to make translations between three representations of the structure of matter, and to determine the degree to which the students' ability to make these translations is related to reasoning ability, spatial reasoning ability, gender, and specific knowledge of the representations. Translation between formula, electron configuration, and ball-and-stick model representations of matter were chosen for study because of their promise for adding to knowledge of students' conceptual ecology, and because they may be of practical use for teaching and evaluation in chemistry classrooms. Representations have the characteristic that they embed selected details of the relevant concept or principle, but permit other details to fade. As one example, the chemical formula for water, H₂O, explicitly conveys the identity of the constituent elements and their ratio, but does not explicitly convey the bond angle or whether the bonds are single or double. On the other hand, the ball-and-stick model of water explicitly conveys the bond angle and bond orders, but does not emphasize the ratio of the elements. Translation between representations is an information processing task, requiring understanding of the underlying concept to the extent that the individual can interpret the information provided by the initial representation and infer the details required to construct the target representation. In this study, the use of the translations of representations as an indicator of understanding of chemical concepts is developed in terms of (a) its relationship to four variables associated with achievement in chemistry, (b) specific representation error types, and (c) its utility in revealing details of students' conceptions and concept formation. Translation of representation performance was measured by administering, audio recording, transcribing, and scoring individual, task-based, think-aloud interviews. The associated interview schedule was entitled Translation of Representations—Structure of Matter [TORSOM]. Reasoning ability was measured by the Group Assessment of Logical Thinking—short form (GALT-s), spatial reasoning ability by the spatial reasoning subtest of the Differential Abilities Test (SRDAT), and prior knowledge of the representations by a test developed by the first researcher (Knowledge of Representations—Structure of Matter). When each of the hypothetical correlates were regressed on TORSOM individually, results indicated the KORSOM and GALT-s but not gender or SRDAT were statistically significant (alpha = .05). The two-predictor model accounts for 28% of the variance in the TORSOM scores. Representation error types are described and exemplified.     

The trouble with transfer: insights from microgenetic changes in the representation of numerical magnitude

Spontaneous transfer of learning is often difficult to elicit. This finding may be widespread partly because pretests proactively interfere with transfer. To test this hypothesis, 7-year-olds' transfer was examined across 2 numerical tasks (number line estimation and categorization) in which similar representational changes have been observed. As predicted, children given feedback on numerical estimates learned to use a linear representation of numerical quantity instead of a logarithmic one, but providing practice on a categorization pretest led children to continue using a logarithmic representation on the same task, which they otherwise abandoned with surprising frequency. These findings imply unsupervised practice of inappropriate representations impedes transfer, and studies of learning can greatly underestimate children's potential for transfer if pretest effects are uncontrolled.     

Ability to Translate from One Representation of the Concept of Function to Another and Mathematical Problem Solving

Representations are used extensively in mathematics and translation ability is highly correlated with success in mathematics education. The authors investigate the translation ability of university students as far as the concept of function is concerned. The research focuses on the relationship between success in, solving direct translation tasks and success in solving problems by articulating different representations of the concept of function. Furthermore, it examines the relationship between student performance and the nature of the representation included in the translation task. The ability to pass from one representation to another was associated with success in problem solving. These results indicate that translation ability should be considered as an important factor in problem solving. Percentages are lower when an iconic representation is included in the translation task. This could be partly attributed to the holistic nature of iconic representations and to the way the concept of function is taught at secondary schools.     

Constructing explanatory models from text-based information: Why instructional tools help

Scientists frequently construct explanatory models based on information they read about scientific phenomena. Modeling is a complex task involving reasoning about what information from multiple texts, including verbal and visual representations, is task-relevant and how it relates to the model. In this study, ninth graders were randomly assigned to a text-based modeling task with or without an instructional tool designed to support selection and elaborative processing of relevant information. Participants completed prompted self-explanation protocols during the modeling task and a learning task afterward. Participants with the instructional tool demonstrated better model construction and learning. Self-explanation analyses indicated more elaborative processing of relevant information for those with the tool. Elaboration of relevant information significantly mediated the instructional tool effect, indicating that it is not the tool, but the forms of processing that it encouraged, that underlies better model construction and learning. Implications for science literacy instruction are discussed.     

Tutor scaffolding styles of dilemma solving in network-based role-play

This study investigated tutoring during collaborative role-play dealing with environmental dilemmas in a synchronous network environment. The relationships of different tutor scaffolding styles with students' discourse acts and their decision-making variables were studied. A role-play with a jigsaw design was developed using the model of real-life environmental negotiations. Tutor scaffolding supported the process of making judgements. Five role-plays consisting of 31 decision-making discussions were carried out with 14–17-year-old students (N = 62) from Estonian secondary schools. The findings indicated that the activeness of tutor scaffolding was related to the higher frequency of students' task-related discourse acts, as well as their ability to generate a mutually accepted ownership of problem representations in teams.     

Testing the instructional fit hypothesis: the case of self-explanation prompts

Cognitive science principles should have implications for the design of effective learning environments. The self-explanation principle was chosen for the current work because it has developed significantly over the last 20 years. Early formulations hypothesized that self-explanation facilitated inference generation to supply missing information about a concept or target skill, whereas later work hypothesized that self-explanation facilitated mental-model revision (Chi, Handbook of research on conceptual change, 2000). To better understand the complex relationship between prior knowledge, cognitive processing, and changes to a learner’s representation, two classes of self-explanation prompts (gap-filling and mental-model revision) were tested in the domain of physics problem solving. Prompts designed to focus the learner on gap-filling led to greater learning and a reduction in the amount of tutoring assistance required to solve physics problems. The results are interpreted as support for the instructional fit hypothesis—the idea that the efficacy of instruction is contingent on the match between the cognitive processing that the instruction elicits, how those processes modify the underlying knowledge representations for the task, and the utility of those representations for the task or problem.     

Attention as an acquisition and performance variable (AAPV)

This article introduces a new model of Pavlovian conditioning, attention as an acquisition and performance variable (AAPV), which, like several other so-called attentional models, emphasizes the role of variation of cue salience, together with associative strength, in accounting for conditioning phenomena. AAPV is primarily (but not exclusively) a performance-focused model in that it assumes not only that both the saliences and associative strengths of cue representations change during acquisition, but also that they are both influential at the time of test in determining responding. Different weights are given to the representations’ associative strengths according to the representations’ respective saliences at test. The model also treats the representation of a stimulus that is directly activated by presentation of that stimulus as distinct from the representation of the same stimulus that is activated by presenting a companion of the stimulus. Additionally, extinction is viewed as resulting from a decrease in the salience of the cue’s representation, rather than a decrease in associative strength. Simulations of several Pavlovian phenomena are presented in order to illustrate the model and assess its robustness.