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We investigated the longitudinal interrelations among self-efficacy, interest value,
utility value, and effort cost in the math domain across one year. The latent cross-lagged
panel modeling based on a sample of 360 Chinese students revealed prior self-efficacy
and interest value played a critical role in predicting later effort cost. Moreover, prior
interest value also had a lasting effect on later self-efficacy and utility value. Besides
utility value, the other three variables displayed significant predictive utility on students’
academic achievement or future choice intentions. In conclusion, the longitudinal
dynamics and the predictive utility of students’ motivational beliefs are complex and
ever-changing, encouraging future research to differentiate value facets and probe into
domain-specific motivation.