Comparing Learning From Productive Failure and Vicarious Failure

A total of 136 eighth-grade math students from 2 Singapore schools learned from either productive failure (PF) or vicarious failure (VF). PF students generated solutions to a complex problem targeting the concept of variance that they had not learned yet before receiving instruction on the targeted concept. VF students evaluated the solutions generated by PF students before receiving the same instruction. Student-generated solutions were either suboptimal or incorrect, and in this sense can be conceived as failed problem-solving attempts. Although there was no difference on self-reported engagement, PF students reported significantly greater mental effort and interest in knowing the canonical solution to the problem than VF students. When preexisting differences in general ability, math ability, and prior knowledge were controlled, PF students outperformed VF students on conceptual understanding and transfer without compromising procedural fluency. These results suggest that when learning a new math concept, people learn better from their own failed solutions than those of others provided appropriate instruction on the targeted concept is given after the generation or evaluation activity.     

Productive dissent in learning communities

“Community” has become a commonplace term in the learning sciences. Alongside this popularization comes the view that communities are, in general, something to strive towards. We draw on contemporary trends to problematize this assumption and motivate a discussion for the productivity of dissent.     

Examining Productive Failure,Productive Success,Unproductive Failure,and Unproductive Success in Learning

Learning and performance are not always commensurable. Conditions that maximize performance in the initial learning may not maximize learning in the longer term. I exploit this incommensurability to theoretically and empirically interrogate four possibilities for design: productive success, productive failure, unproductive success, and unproductive failure. Instead of only looking at extreme comparisons between discovery learning and direct instruction, an analysis of the four design possibilities suggests a vast design space in between the two extremes that may be more productive for learning than the extremes. I show that even though direct instruction can be conceived as a productive success compared to discovery learning, theoretical and empirical analyses suggests that it may well be an unproductive success compared with examples of productive failure and productive success. Implications for theory and the design of instruction are discussed.     

Sociocultural frameworks of conceptual change: implications for teaching and learning in museums

This article presents a metalogue discussion about the two focus articles and the six associated review essays on the topic of conceptual change as it applies to research, and science teaching and learning in museum settings. Through the lenses of a sociocultural perspectives of learning we examine the applicability of the ideas presented in the forum for museums and museum educators. First we reflect on the role that emotions can play in concept development; second, we reflect on the role of language, talk, and gestures to concept development and conceptual change in the short-lived nature of experiences and conversations in museums; and third, we consider the nature of objects as representations of science content in museum settings.

Productive failure in learning the concept of variance

In a study with 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 DI on the concept. Whereas DI students relied only on the canonical formulation of variance taught to them, PF students generated a diversity of formulations for variance but were unsuccessful in developing the canonical formulation. On the posttest however, PF students significantly outperformed DI students on conceptual understanding and transfer without compromising procedural fluency. These results challenge the claim that there is little efficacy in having learners solve problems targeting concepts that are novel to them, and that DI needs to happen before learners should solve problems on their own.     

Reinventing discovery learning: a field-wide research program

Whereas some educational designers believe that students should learn new concepts through explorative problem solving within dedicated environments that constrain key parameters of their search and then support their progressive appropriation of empowering disciplinary forms, others are critical of the ultimate efficacy of this discovery-based pedagogical philosophy, citing an inherent structural challenge of students constructing historically achieved conceptual structures from their ingenuous notions. This special issue presents six educational research projects that, while adhering to principles of discovery-based learning, are motivated by complementary philosophical stances and theoretical constructs. The editorial introduction frames the set of projects as collectively exemplifying the viability and breadth of discovery-based learning, even as these projects: (a) put to work a span of design heuristics, such as productive failure, surfacing implicit know-how, playing epistemic games, problem posing, or participatory simulation activities; (b) vary in their target content and skills, including building electric circuits, solving algebra problems, driving safely in traffic jams, and performing martial-arts maneuvers; and (c) employ different media, such as interactive computer-based modules for constructing models of scientific phenomena or mathematical problem situations, networked classroom collective “video games,” and intercorporeal master–student training practices. The authors of these papers consider the potential generativity of their design heuristics across domains and contexts.     

Conceptualizing Debates in Learning and Educational Research: Toward a Complex Systems Conceptual Framework of Learning

This article proposes a conceptual framework of learning based on perspectives and methodologies being employed in the study of complex physical and social systems to inform educational research. We argue that the contexts in which learning occurs are complex systems with elements or agents at different levels—including neuronal, cognitive, intrapersonal, interpersonal, cultural—in which there are feedback interactions within and across levels of the systems so that collective properties arise (i.e., emerge) from the behaviors of the parts, often with properties that are not individually exhibited by those parts. We analyze the long-running cognitive versus situative learning debate and propose that a complex systems conceptual framework of learning (CSCFL) provides a principled way to achieve a theoretical rapprochement. We conclude with a consideration of more general implications of the CSCFL for educational research.     

Access, satisfaction, and future: undergraduate education at the Indian Institutes of Technology

The Indian Institutes of Technology (IITs) are among the most prestigious technical institutes in India (and perhaps in the world) for undergraduate engineering education. Admission to an IIT is viewed by many Indians as a passport to success, prosperity, prestige, and possibly moving to Western countries for higher studies and/or jobs. This paper examines whether (i) access to the IITs is open to students irrespective of their socioeconomic status; (ii) students’ satisfaction, once they enter an IIT, is conditioned by their socioeconomic status; and (iii) students’ attitudes towards their future plans are influenced by their socioeconomic status. The paper is based on a survey conducted with nearly 260 students at two out of five original IITs in 2007–2008. Findings reveal that access to the IITs, satisfaction at the IITs, and future plans after the IITs are strongly correlated to students’ socioeconomic status. Even though admission to the IITs is based on an entrance examination, most of its students are from the socially and economically well-off families.