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Assessing Mathematics Misunderstandings via Bayesian Inverse Planning by Anna N. Rafferty; Rachel A. Jansen; Thomas L. Griffiths is a Psychology article available to read on EtoBox.

What is Assessing Mathematics Misunderstandings via Bayesian Inverse Planning about?

Online educational technologies offer opportunities for providing individualized feedback and detailed profiles of students' skills. Yet many technologies for mathematics education assess students based only on the correctness of either their final answers or responses to individual steps. In contrast, examining the choices students make for how to solve the equation and the ways in which they might answer incorrectly offers the opportunity to obtain a more nuanced perspective of their algebra skills. To automatically make sense of step-by-step solutions, we propose a Bayesian inverse planning model for equation solving that computes an assessment of a learner's skills based on her pattern of errors in individual steps and her choices about what sequence of problem-solving steps to take. Bayesian inverse planning builds on existing machine learning tools to create a generative model relating (mis)-understandings to equation solving choices. Two behavioral experiments demonstrate that the model can interpret people's equation solving and that its assessments are consistent with those of experienced teachers. A third experiment uses this model to tailor guidance for learners based on

Who reads Assessing Mathematics Misunderstandings via Bayesian Inverse Planning?

Author

Anna N. Rafferty; Rachel A. Jansen; Thomas L. Griffiths

Publisher

Wiley (Blackwell Publishing); Wiley-Blackwell; Blackwell Publishing; Elsevier Science; Wiley; Informa UK Limited (ISSN 0364-0213)

Published

2020

Language

EN

Field

Psychology (Social Sciences)