Latent Structure of the Sources of Mathematics Self-Efficacy

General social cognitive theory and its career-specific elaborations posit four primary sources through which self-efficacy beliefs are acquired and modified: personal performance accomplishments, vicarious learning, social persuasion, and physiological states and reactions. We present two studies exploring the dimensionality of these sources within the context of career-relevant mathematics activities. In Study 1, 295 college students completed measures of the source variables. Testing two- through five-factor models, we found strongest support for a four-factor latent structure of the efficacy sources. In Study 2, involving 481 high school students, a five-factor model fit the data well. We also found evidence of a higher order factor structure in both samples. Several directions for further research on the sources of efficacy information are considered, along with implications for career and academic interventions.     

Estimating the polyserial correlation coefficient

We develop simple noniterative estimators of the polyserial correlation coefficient. A general relationship between the polyserial correlation and the point polyserial correlation is exploited to give extensions of Pearson's, Brogden's, and Lord's biserial estimators to the multicategory setting. The small sample and asmptotic properties of these estimators are studied in some detail. A comparison with maximum likelihood estimates shows that Lord's polyserial estimator is fairly efficient across three probability models.The authors would like to thank the referees for suggestions that improved the presentation of the paper.     

A MEDIATIONAL MODEL OF AUTONOMY, SELF-ESTEEM, AND EATING DISORDERED ATTITUDES AND BEHAVIORS

This study expands upon existing literature by examining how the relationship between autonomy deficits and low self-esteem may create a psychological environment conducive to the development of eating disordered behaviors. Findings supported a mediational model to account for eating disordered behaviors in 71 college women. In this model, lack of autonomy was related to decreased global self-esteem, which in turn was associated with bulimia, body dissatisfaction, and drive for thinness. Although only tentative and cross-sectional in nature, this study is of particular importance because it links autonomy and self-esteem in a coherent model predictive of eating disordered behaviors in college women. Developmental aspects of eating disorders and treatment implications are discussed.     

TECHNOLOGY AND THE FUTURE: ON DREAMING THE IMPOSSIBLE

Abstract. My comment on Ethics in an Age of Technology, volume 2 of Ian G. Barbour's Gifford Lectures, acknowledges the excellence of Barbour's depictions of the social-cum-technological problems facing humanity in the coming millennium. Barbour's proposed solutions, too, are reasonable—but usually presuppose fundamental reforms in social values, especially within the powerful industrialized societies. Without further analysis of technology and values, this seems to make such solutions “impossible dreams.” My thesis is that clear analysis of the ideal aspects of technology (as itself the embodiment of knowledge and values), plus clues from Alfred North Whitehead on the dynamics of social change, can reinforce hope even in “impossible” dreams. First, technology, though embodied in solid material machinery and powerful social institutions, is no more “solid” than constant reaffirmation of the values behind it (as was the case with the Berlin Wall). Second, great ideals, over time, have the power to help create the conditions of their own possibility. Social change is both “pushed” by coercive forces (e.g., climate changes) and “pulled” by great values (e.g., human dignity). Therefore there are practical benefits to be gained from attending to, and celebrating, even currently “impossible” dreams as they work to make themselves possible.     

A new computational method to fit the weighted euclidean distance model

This paper describes a computational method for weighted euclidean distance scaling which combines aspects of an analytic solution with an approach using loss functions. We justify this new method by giving a simplified treatment of the algebraic properties of a transformed version of the weighted distance model. The new algorithm is much faster than INDSCAL yet less arbitrary than other analytic procedures. The procedure, which we call SUMSCAL (subjectivemetricscaling), gives essentially the same solutions as INDSCAL for two moderate-size data sets tested.Comments by J. Douglas Carroll and J. B. Kruskal have been very helpful in preparing this paper.     

THE SKILL OF PICTORIAL PERCEPTION: AN INTERPRETATION OF CROSS-CULTURAL EVIDENCE*

A theoretical framework is proposed for understanding perceptual skills in their functional context. Pictorial perception is construed as a functionally specialised skill whose pervasive importance in modern education derives from the proliferation of pictorial materials in Western culture. Drawing on cross-cultural research, the major components of the skill are identified as (1) detection of appropriate contexts for its application, (2) selection of a limiting frame of reference, (3) use of conventional criteria of fidelity to recognise depicted items, (4) sensitivity to impoverished depth cues, (5) an expectation of finding in the picture most of the information necessary for its disambiguation, and (6) various assumptions about the range of cognitive inferences that may legitimately be made ‘beyond the information given’. Training studies are interpreted as suggesting that the skill can be enhanced through guided experience.