Background: According to the self-enhancement perspective, self-efficacy and self-concept are shaped by prior achievement and have a crucial impact on future development. Their role in improving performance on challenging tasks, such as mathematical modelling (i.e., solving realistic problems mathematically), has barely been studied. Aims: We…

This paper describes the work done by sixth grade students to achieve and sustain productive and personally meaningful lines of inquiry with computational models. The capacity to frame interactions with tools as dialogic exchanges with co-participants is a productive practice for disciplinary engagement in science and for computational thinking…

Our paper details the ways teachers understand and navigate equity-oriented dilemmas (Berlak & Berlak, 1981) when teaching mathematical modeling and how mathematics teacher educators can support teachers' learning of culturally responsive mathematics teaching. Using Zavala and Aguirre's (in press) framework for culturally responsive…

Another year of COVID-19 meant another virtual meeting but the Canadian Mathematics Education Study Group/Groupe Canadien d'Étude en Didactique des Mathématiques (CMESG/GCEDM) made the best of the situation and found ways to learn together and share connections. Having learned a lot from the 2021 virtual meeting, the executive was able to once…

Energy Conservation Theory of Second Language Acquisition (ECT-L2A) (Han, Bao, & Wiita, 2017b), an interdisciplinary theory juxtaposing a physics perspective and an applied linguistics perspective, conceptualizes individuals' ultimate attainment as a function of dynamic transformation of endogenous and exogenous energies throughout the…

This study examined how mathematical modeling activities within a collaborative group impact on students' perceived 'value' of mathematics. With a unified framework of Makiguchi's theory of 'value', mathematical disposition, and identity, the study identified the elements of the value--beauty, gains, and social good--with the observable evidences…

A general linear model (GLM) framework is used to suggest that structure coefficients ought to be interpreted in structural equation modeling confirmatory factor analysis (CFA) studies in which factors are correlated. The computation of structure coefficients in explanatory factor analysis and CFA is explained. Two heuristic data sets are used to…

Issues the author has explored in his work on the philosophy of statistics are reviewed. Indeterminacy, the place of empiricism, questions of causation and causality, and explorations of language have preceded the study of objectivity. The relationship between objectivity and multivariate statistics is examined. (SLD)

The effects of levels of aggregation on measures of goodness of fit and higher order parameter estimates obtained from confirmatory factor analysis (CFA) were investigated using three indexes of fit and data on the academic self-concept of 270 undergraduates. Implications of results for model complexity in CFA are discussed. (SLD)

This investigation tested the ability of an a priori hierarchical structure of self-concept derived from the Shavelson model to explain responses to the Self Description Questionnaire (SDQ) III, and demonstrated the application and problems with the use of hierarchical confirmatory factor analysis (HCFA). (Author/JAZ)

Describes the development of an instrument to measure student attitudes towards a tracking system. (CK)

Structural equation modeling was used to investigate the relation between home environment, self-concept, and academic achievement. It was found and cross-validated over four samples of 2,297 Korean adolescents that self-concept is a mediating variable between home environment and academic achievement. (Author/BS)

This paper presents parallel estimates of structural equation models to explain children's educational attainment over first grade. One set of estimates is based on a 3-school sample drawn in 1971-77 and another on a 20-school sample drawn in 1982-83. The evidence suggests that, within reasonable limits, results are comparable. (Author/JAZ)

Using 559 fifth graders, measures were collected to assess multiple dimensions of academic self-attribution, self-concept, and inferred self-concept, and academic achievement. The specificity and predictability of the observed patterns of relations support the construct validity of interpretations based on both the self-attribution and…

Six alternative models of the ways in which individuals accept and organize information from potential sources are proposed. Parameter estimates were obtained from experiments testing the effect of evaluations of performance upon an individual's conception of his own, and others', ability to perform specific tasks. Then the models were tested…