منابع مشابه
Productive Failure in Learning Math
When learning a new math concept, should learners be first taught the concept and its associated procedures and then solve problems, or solve problems first even if it leads to failure and then be taught the concept and the procedures? Two randomized-controlled studies found that both methods lead to high levels of procedural knowledge. However, students who engaged in problem solving before be...
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Contrary to the fairly established notion in the learning sciences that un-scaffolded processes rarely lead to meaningful learning, this study reports a hidden efficacy of such processes and a method for extracting it. Compared to scaffolded, well-structured problem-solving groups, un-scaffolded, ill-structured problem-solving groups struggled with defining and solving the problems. Their discu...
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In a study with 140, ninth-grade mathematics students on learning the concept of variance, students experienced either direct instruction (DI) or productive failure (PF), wherein they were first asked to generate a quantitative index for variance without any guidance before receiving direct instruction on the concept. Whereas DI students relied only on the canonical formulation of variance taug...
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This paper reports on a quasi-experimental study comparing a “productive failure” (Kapur, 2006, in press) instructional design with a traditional “lecture and practice” instructional design for a two-week curricular unit on rate and speed. Participants comprised 75, 7-grade mathematics students from a mainstream secondary school in Singapore. Students experienced either a traditional lecture an...
متن کاملClassroom-based Experiments in Productive Failure
We present evidence from three quasi-experimental studies on productive failure. In Experiment 1, students experienced either direct instruction (DI) or productive failure (PF), wherein they were first asked to generate a quantitative index for variance before receiving direct instruction on the concept. Experiment 2 examined if it was necessary for students to generate solutions or can these s...
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ژورنال
عنوان ژورنال: Cognitive Science
سال: 2014
ISSN: 0364-0213
DOI: 10.1111/cogs.12107