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2 references
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- Vol 2 RE: Chapter 3, 8, App C, App D
- Vol 4 RE: Chapter 9
- Vol 5 RE: Chapters 5, 11
- Vol 5 TE: App C
productive failuretransfer learningnewtonian kinematicscollaborative problem solvingconceptual knowledgeinstructional consolidationJournal article Evidence summaryAt a glance
Kapur provides an existence proof for productive failure in a computer-supported collaborative-learning study of eleventh-grade science students solving complex Newtonian-kinematics problems. Groups asked to generate solutions without the usual support struggled, explored divergent representations, and performed poorly during the initial problem-solving phase.
Key ideas
Groups receiving more structured support achieved better immediate solutions. After subsequent consolidation, however, students from the initially unsuccessful condition outperformed their counterparts on transfer measures. Their failed attempts had activated prior knowledge, exposed conceptual gaps, differentiated important features, and produced representations that prepared them to understand later instruction. The result does not imply that leaving novices unsupported is generally effective. Productive failure depends on carefully chosen problems, opportunities to generate and compare ideas, a psychologically safe context, and later teaching that organises and explains the relevant concepts.
Why it matters
Initial performance and later learning are therefore not interchangeable measures. The study challenges designs that optimise short-term success alone and motivates a two-phase sequence: problem solving that makes knowledge gaps visible, followed by explicit consolidation that helps learners extract the underlying structure.
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- Vol 7 RE: Chapter 8, App D
flipped learningstudent engagementsecondary mathematicspre-class resourcesself-determination theorycollaborative problem solvinglearning scaffoldsdesign-based researchJournal article Evidence summaryAt a glance
Lo and Hew use a two-year design-based research process to develop principles for sustaining engagement in flipped secondary mathematics. Their sequence included exploratory studies with different student groups, randomized experiments comparing pre-class materials and questions, a literature review, an action-research implementation, and a year-long quasi-experiment.
Key ideas
The resulting approach combines concise, accessible pre-class learning resources with accountability and support, while reserving classroom time for teacher help, peer interaction, and increasingly challenging problem solving. Self-determination theory informs attention to autonomy, competence, and relatedness. The studies show that flipping content delivery does not automatically engage learners: students may fail to prepare, struggle to understand videos independently, or experience in-class tasks as poorly matched to their needs. Design therefore requires scaffolds for preparation, opportunities to check understanding, meaningful collaborative work, differentiation, and iterative adjustment based on student evidence.
Why it matters
The authors frame their contribution as context-sensitive design principles rather than a universal recipe. Effective flipped learning depends on coordinating the pre-class and classroom phases so that each creates a clear reason and adequate preparation for the other.
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Edition abbreviations
- TE
- Teacher Edition
- PE
- Practice Edition
- RE
- Research Edition
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