Sandoval - JLS 2009

In Defense of Clarity in the Study of Personal Epistemology
Journal of the Learning Sciences, Volume 18, Issue 1 January 2009 , pages 150 - 161
DOI: http://dx.doi.org/10.1080/10508400802581700

William A. Sandoval

Andrew Elby (this issue) argues that researchers in the field of personal epistemology should beware insistence on a narrow definition of epistemology to guide this work. His argument is a response to suggestions (Hofer & Pintrich, 1997; Sandoval, 2005) that the study of personal epistemology should focus on people's views about knowledge and knowing and not conflate those with views about learning. His main concern is that learners' views about knowledge and their views about learning may, in fact, be conflated and that an insistence on definitional clarity could lead to a mischaracterization of cognitive structures. In this response I argue that clarity in the definition of theoretical constructs does not imply exclusion of views about learning from the study of personal epistemology. Furthermore, given the history of this area of research, failing to more clearly define our constructs makes real theoretical progress difficult.

Elby - JLS 2009

Defining Personal Epistemology: A Response to Hofer & Pintrich (1997) and Sandoval (2005)
Journal of the Learning Sciences, Volume 18, Issue 1 January 2009 , pages 138 - 149
DOI: http://dx.doi.org/10.1080/10508400802581684

Andrew Elby

Some researchers, including B. K. Hofer and P. R. Pintrich (1997) and W. A. Sandoval (2005), argue for defining personal epistemology as views about the nature of knowledge and knowing but not views about the nature of learning. Others continue using a more expansive definition of personal epistemology that includes views about learning. I argue that the scope of personal epistemology should not be decided entirely a priori. If people's views about the nature of knowing and knowledge turn out to be separable from (despite being intertwined with) their views about the nature of learning, then it makes sense to define 2 separate areas of study corresponding to those 2 separable sets of psychological constructs. From some theoretical perspectives, however, empirical results may support the interpretation that views about knowledge are inseparably entangled with views about learning. In that case, excluding views about learning from personal epistemology obscures rather than elucidates the content and cognitive structure of students' views. To be clear, I do not think the community should decide, now, to etch “views about the nature of learning” into the definition of personal epistemology. I argue instead that it is more productive not to converge on a definition until further empirical and theoretical progress points us toward the best way to “cut up [nature] … along its natural joints” (Plato, 1995, p. 64).

Goldstone Wilensky - JLS 2008

Promoting Transfer by Grounding Complex Systems Principles
Journal of the Learning Sciences, Volume 17, Issue 4 October 2008 , pages 465 - 516

Robert L. Goldstone and Uri Wilensky

Understanding scientific phenomena in terms of complex systems principles is both scientifically and pedagogically important. Situations from different disciplines of science are often governed by the same principle, and so promoting knowledge transfer across disciplines makes valuable cross-fertilization and scientific unification possible. Although evidence for this kind of transfer has historically been controversial, experiments and observations of students suggest pedagogical methods for promoting transfer of complex systems principles. One powerful strategy is for students to actively interpret the elements and interactions of perceptually grounded scenarios. Such interpretation can be facilitated through the presentation of a situation alongside a description of how the agents in the situation are behaving, and by students exploring and constructing computational models of the situation. The resulting knowledge can be both concretely grounded yet highly perspective dependent and generalizeable. We discuss methods for coordinating computational and mental models of complex systems, the roles of idealization and concreteness in fostering understanding and generalization, and other complementary theoretical approaches to achieving transfer.

Moschkovich - JLS 2008

“I Went by Twos, He Went by One”: Multiple Interpretations of Inscriptions as Resources for Mathematical Discussions
Journal of the Learning Sciences, Volume 17, Issue 4 October 2008 , pages 551 - 587

Judit N. Moschkovich

This article examines a classroom discussion of multiple interpretations of the scales on two distance versus time graphs. The analysis describes how two students and a teacher used multiple meanings for phrases of the form “I went by” and coordinated these meanings with different views of the scales. Students' ambiguous and shifting meanings did not prove to be obstacles to this discussion. Instead, this teacher used student interpretations as resources, built on them, and connected them to canonical mathematical concepts—in particular by highlighting (Goodwin, 1994) a “unitized” (Lamon, 1994, 1996, 2007) view of the scales. Research in mathematics education describes teaching that promotes conceptual development as having two central features: One is that teachers and students attend explicitly to concepts, and the other is that students wrestle with important mathematics (Hiebert & Grouws, 2007). Not only does this classroom discussion provide an example that it is possible to balance these two features, but the analysis provides the details of how instruction can simultaneously provide explicit attention to concepts while allowing students to wrestle with these concepts.

Chiu - JLS 2008

Flowing Toward Correct Contributions During Group Problem Solving: A Statistical Discourse Analysis
Journal of the Learning Sciences, Volume 17, Issue 3 July 2008 , pages 415 - 463

Ming Ming Chiu

Groups that created more correct ideas (correct contributions or CCs) might be more likely to solve a problem, and students' recent actions (micro-time context) might aid CC creation. 80 high school students worked in groups of 4 on an algebra problem. Groups with higher mathematics grades or more CCs were more likely to solve the problem. Dynamic multilevel analysis statistically identified watersheds (breakpoints) that divided each group's conversation into distinct time periods with many CCs versus few CCs, and modeled the groups' 2,951 conversation turns. Wrong contributions, correct evaluations of one another's ideas, justifications, and polite disagreements increased the likelihood of a CC. In contrast, questions, rude disagreements, and agreements reduced it. Justifications had the largest effects, whereas the effects of correct evaluations lasted 3 speaker turns. Some effects differed across groups or time periods. In groups that solved the problem, justifications were more likely to yield CCs, and questions were more likely to elicit explanations. Meanwhile, the effects of agreements and correct evaluations on CCs differed across time periods. Applied to practice, teachers can encourage students to evaluate others' ideas carefully and politely, express and justify their own ideas, and explain their answers to group members' questions.

Jurow Hall Ma - JLS 2008

Expanding the Disciplinary Expertise of a Middle School Mathematics Classroom: Re-Contextualizing Student Models in Conversations With Visiting Specialists
Journal of the Learning Sciences, Volume 17, Issue 3 July 2008 , pages 338 - 380

A. Susan Jurow; Rogers Hall; Jasmine Y. Ma

This article examines how conversations during design reviews in which 8th-grade mathematics students shared population models with visiting specialists expanded the disciplinary expertise of the classroom. Re-contextualizing is a conversational exchange that visiting specialists initiated to invite groups to consider their models in novel contexts. Analysis of 14 design reviews in 2 classrooms showed that re-contextualizing resulted in both the elaboration of ideas students already understood and new contributions to students' understandings of mathematical aspects of population modeling. This article presents case studies of 2 groups that differed in terms of their interest in the curricular task and the level of conceptual integrity of their population models. Despite these differences, the re-contextualizing exchanges that emerged in their design reviews led to new insights for both groups and provided them with opportunities to try on ways of thinking and acting like population biologists.

Mercer - JLS 2008

The Seeds of Time: Why Classroom Dialogue Needs a Temporal Analysis
Journal of the Learning Sciences, Volume 17, Issue 1 January 2008 , pages 33 - 59

Neil Mercer

The process of teaching and learning in school has a natural long-term trajectory and cannot be understood only as a series of discrete educational events. Classroom talk plays an important role in mediating this long-term process, and in this article I argue that more attention should be given to the temporal dimension of classroom dialogue, both empirically and theoretically, if we are to appreciate how children gain an education from their classroom experience. I explore this topic using data from recent applied, interventional research in United Kingdom primary schools and examine how classroom talk is used to represent past shared experience, carry ideas forward from one occasion to another, approach future activities, and achieve learning outcomes. The article ends with a discussion of the theoretical, methodological, and educational implications of making this kind of temporal analysis.

DOI: 10.1080/10508400701793182

Tatar Roschelle Knudsen Schechtman Kaput Hopkins - JLS 2008

Scaling Up Innovative Technology-Based Mathematics
Journal of the Learning Sciences, Volume 17, Issue 2 April 2008 , pages 248 - 286

Deborah Tatar; Jeremy Roschelle; Jennifer Knudsen; Nicole Shechtman; Jim Kaput; Bill Hopkins

We report on the initial attempts at evaluating at scale a particular technological/curricular innovation that enables more students to develop deeper knowledge. The methods, issues, and findings of the current pilot experiment speak not only to the success of SimCalc MathWorlds, the focus of our research program, but also to the evaluation at scale of a broad class of representationally innovative technologies and to the merit of long-term investment in design-based research. In particular, we present conditions and findings from a completed pilot experiment involving 21 seventh-grade mathematics teachers from Texas. Pilot outcomes suggest that (a) innovative representational technologies can have an important impact on student learning, (b) considerable impact can be found across a wide range of teachers and conditions, and (c) these gains can be detected even in the absence of other desirable conditions. In particular, detection of student gains does not, in our case, depend on having a long-term context of learning, long-term teacher professional development, or a shift to learner-centered constructivist pedagogy. The full experiment will replicate and extend our experimental design with a wider range of teachers and schools, model the factors that contribute to classroom success with such technology, and explore what happens as research support fades away.

DOI: 10.1080/10508400801986090

Lindwall Lymer - JLS 2008

The Dark Matter of Lab Work: Illuminating the Negotiation of Disciplined Perception in Mechanics
Journal of the Learning Sciences, Volume 17, Issue 2 April 2008 , pages 180 - 224

Oskar Lindwall; Gustav Lymer

This study examines the practical work of a pair of students and an instructor using probeware in a mechanics lab. The aim of the study is to describe and discuss a type of interactional sequence that we refer to as dark matter, the ordinary backdrop to the extraordinary sequences that are easily recognizable as clear-cut instances of learning. Although this work is downplayed in the research literature, describing it is critical to properly understanding lab work as an educational practice. With a focus on the negotiation of disciplined perception, we analyze a number of episodes wherein a pair of students and an instructor struggle with the construction and interpretation of a graph depicting a linear relationship between force and acceleration. We demonstrate an intimate interplay between how the students display their problems and understandings and how the instructor tries to make the subject matter content visible and thus learnable. The analyzed episodes are illuminating with regard to the analytical notion of disciplined perception as applied to graph interpretation; the cognitive and practical competencies involved in producing, recognizing, and understanding graphs in mechanics; and the interactive work by which these competencies are made into objects of learning and instruction.

DOI: 10.1080/10508400801986082

Gupta Hammer Redish - arxiv.org 2008

The Case for Dynamic Models of Learners' Ontologies in Physics
arxiv.org

Ayush Gupta, David Hammer, and Edward F. Redish

Submitted to The Journal of the Learning Sciences on 02/28/2008

In a series of well-known papers, Chi and Slotta (Chi, 1992; Chi & Slotta, 1993; Chi, Slotta & de Leeuw, 1994; Slotta, Chi & Joram, 1995; Chi, 2005; Slotta & Chi, 2006) have contended that a reason for students' difficulties in learning physics is that they think about concepts as things rather than as processes, and that there is a significant barrier between these two ontological categories. We contest this view, arguing that expert and novice reasoning often and productively traverses ontological categories. We cite examples from everyday, classroom, and professional contexts to illustrate this. We agree with Chi and Slotta that instruction should attend to learners' ontologies; but we find these ontologies are better understood as dynamic and context-dependent, rather than as static constraints. To promote one ontological description in physics instruction, as suggested by Slotta and Chi, could undermine novices' access to productive cognitive resources they bring to their studies and inhibit their transition to the dynamic ontological flexibility required of experts.

Parnafes - JLS 2007

What Does "Fast" Mean? Understanding the Physical World Through Computational Representations
Orit Parnafes
School of Education, Tel-Aviv University

This article concerns the development of conceptual understanding of a physical phenomenon through the use of computational representations. It examines how students make sense of and interpret computational representations, and how their understanding of the represented physical phenomenon develops in this process. Eight studies were conducted, in which pairs of students were engaged in an exploratory activity of natural harmonic oscillation. They first explored physical oscillators (e.g., springs, pendulums) and then interacted with dynamic and interactive computational representations that represent aspects of natural harmonic oscillation. The analysis focuses on selected episodes demonstrating critical steps in the development of the students' understanding. It offers a detailed description of these steps and closely examines students' interaction with various features of the representations in order to identify the relations between use of representations and students' developing understanding. A theory of conceptual change, coordination class theory (diSessa & Sherin, 1998), is used to track the development process of students' understanding with representations. The detailed analysis aims to construct a model describing mechanisms of developing understanding through the mediation of computational representations. The significance of this study is in its close look at the detailed process of learning and conceptual change in computational environments.