Abstract

The Productive Failure (PF) approach prompts students to attempt to solve a problem prior to instruction – at which point they typically fail. Yet, research on PF shows that students who are involved in problem solving prior to instruction gain more conceptual knowledge from the subsequent instruction compared to students who receive the instruction first. So far, there is no conclusive evidence, however, that the beneficial effects of PF are explained by the attempt to generate one’s own solutions prior to instruction. The literature on example-based learning suggests that observing someone else engaging in problem-solving attempts may be an equally effective means to prepare students for instruction. In an experimental study, we compared a PF condition, in which students were actively engaged in problem solving prior to instruction, to two example conditions, in which students either observed the complete problem-solving-and-failing process of another student engaging in PF or looked at the outcome of this process (i.e., another student’s failed solution attempts). Rather than worked examples of the correct solution procedure, the students observed examples of failed solution attempts. We found that students’ own problem solving was not superior to the two example conditions. In fact, students who observed the complete PF process even outperformed students who engaged in PF themselves. Additional analyses revealed that the students’ prior knowledge moderated this effect: While students who observed the complete PF process were able to take advantage of their prior knowledge to gain more conceptual knowledge from the subsequent instruction, prior knowledge did not affect students’ post-test performance in the PF condition.

Highlights

  • Research on Productive Failure (PF; Kapur 2012) has found strong support for the beneficial preparatory effects of problem solving prior to instruction, especially in mathematics and science education (Darabi et al 2018)

  • Unlike problem-based learning approaches, where students learn while working on an ill-defined problem which can have multiple solution paths or even multiple ‘correct’ solutions and instruction is only provided if needed, the PF approach uses complex and challenging but not ill-defined problems and foresees students attempting to identify some of the underlying components of the correct solution using cues from the given information on the problem

  • Kapur (2014a,b) compared a PF condition to a ‘Vicarious Failure’ (VF) condition in which students were instructed to evaluate failed solution attempts created by other students prior to receiving instruction. Students in both the PF and the VF condition gained more conceptual knowledge from the subsequent instruction than students in a direct-instruction condition, the results revealed that students in the PF condition outperformed those in the VF condition on a conceptual knowledge post-test (Kapur 2014a)

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Summary

Introduction

Research on Productive Failure (PF; Kapur 2012) has found strong support for the beneficial preparatory effects of problem solving prior to instruction, especially in mathematics and science education (Darabi et al 2018). Even if the student does not yet know the concept required to solve a mathematical problem, the attempt to solve the problem is assumed to trigger the mechanisms of prior knowledge activation and awareness of knowledge gaps, which prepare the student to benefit from subsequent instruction (Loibl et al 2017). These mechanisms are expected to support students in cognitively processing, organizing, and integrating the information on the new concept that is provided to them during the subsequent instruction more effectively (i.e., deep feature recognition) as compared to the direct-instruction approach

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