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Articles

Expectancy-value and cognitive process outcomes in mathematics learning: a structural equation analysis

Pages 325-340 | Published online: 18 Oct 2013
 

Abstract

Existing research has yielded evidence to indicate that the expectancy-value theoretical model predicts students' learning in various achievement contexts. Achievement values and self-efficacy expectations, for example, have been found to exert positive effects on cognitive process and academic achievement outcomes. We tested a conceptual model that depicted the interrelations between the non-cognitive (task value, self-efficacy) and cognitive (deep-learning approach, reflective-thinking) processes of learning, and academic achievement outcomes in mathematics. University students (n = 289) were administered a number of Likert-scale inventories and LISREL 8.80 was used to test various a priori and a posteriori models. Structural equation modeling yielded some important findings: (1) the positive temporally displaced effects of prior academic achievement, self-efficacy expectations and task value on achievement in mathematics, (2) the positive relations between self-efficacy expectations and task values and cognitive process outcomes and (3) the possible mediating role of self-efficacy expectations and task value between prior academic achievement and deep learning, reflective-thinking practice and academic achievement. Overall, our research investigation has provided empirical groundings for further advancement into this area of students' learning.

Notes

1. Given there are 10 items (with five items for deep strategies and five items for deep motives), we consequently averaged the first two items from the deep strategies component to form the first indicator, the second two items to form the second indicator and the last remaining (fifth) item formed the third indicator. In total, we therefore have six measured indicators: three indicators for deep motives and three indicators for deep strategies.

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