In this paper we review the contribution of our original work titled "Simulating Instructional Roles Through Pedagogical Agents" published in the "International Journal of Artificial Intelligence and Education" (Baylor and Kim in "Computers and Human Behavior," 25(2), 450-457, 2005). Our original work operationalized…

Proliferation of prescriptive models in an "engineering" field is not a sign of its maturity. Quite the opposite. Materials engineering, for example, meets the criterion of parsimony. Sadly, the very large number of models in "instructional design," putatively an engineering field, raises questions about its status. Can the…

Collaboration scripts and heuristic worked examples are effective means to scaffold university freshmen's mathematical argumentation skills. Yet, which collaborative learning processes are responsible for these effects has remained unclear. Learners presumably will gain the most out of collaboration if the collaborators refer to each other's…

Two approaches to the process of guided discovery learning are compared for their impacts on concept understanding. One, referred to as design, emphasizes invention and draws on the simulation literature. The other, referred to as case analysis, focuses on discovery and draws on the case-based reasoning literature. Following a lecture on four…

Learning to solve a class of problems can be characterized as a search through a space of hypotheses about the rules for solving these problems. A series of four experiments studied how different learning conditions affected the search among hypotheses about the solution rule for a simple computational problem. Experiment 1 showed that a problem…

Unlike a child's observable, physical interactions with mathematical tools (e.g., physically touching blocks in order to count them), the subtle manifestations of imagery construction can be considerably more challenging to identify and act upon. Although there have been substantive examinations of mental imagery in a variety of mathematical…

This chapter presents an introduction to design-based implementation research (DBIR). We describe the need for DBIR as a research approach that challenges educational researchers and practitioners to transcend traditional research/practice barriers to facilitate the design of educational interventions that are effective, sustainable, and scalable.…

This paper provides an exposition of the unfolding and growing complexities of student and instructor gesturing over time. Specifically, it provides an account of how different forms of gestures, all related to the same mathematical idea, can create a chain of signs that support and enhance increasingly sophisticated understanding of one important…

As online courses become more common, practitioners are in need of clear guidance on how to translate best educational practices into web-based instruction. Moreover, student engagement is a pressing concern in online courses, which often have high levels of dropout. Our goals in this work were to experimentally study routine instructional design…

In this article, we describe the design principles undergirding "productive failure" (PF; M. Kapur, 2008). We then report findings from an ongoing program of research on PF in mathematical problem solving in 3 Singapore public schools with significantly different mathematical ability profiles, ranging from average to lower ability. In…

This study compares learning from designing instruction in the context of simulation-based inquiry learning with learning from expository teaching. The domain of instruction was the electricity domain of high-pass and low-pass filters. Participants were students from a technical vocational school. In the experimental condition ("N" =…

The article proposes a self-study system which suggests web links to learners. The suggestions depend upon the learner's chosen competences selected from a competence structure for a particular knowledge domain. Three experiments were conducted, where the first compared the perceived usefulness and value of the links generated by different…

Data visualizations designed for academic scientists are not immediately meaningful to everyday scientists. Communicating between a specialized, expert audience and a general, novice public is non-trivial; it requires careful translation. However, more widely available visualization technologies and platforms, including new three-dimensional…

Audiovisual design might impact emotional responses, as studies from the 1970s and 1980s on movie and television content show. Given today's abundant presence of web-based videos, this study investigates whether audiovisual design will impact web-video content in a similar way. The study is motivated by the potential influence of video-evoked…

Incorporating relevant numerical information into decision-making is a fundamental and important aspect of numeracy. However, the process through which weight is assigned to particular numerical values is not well understood. The central theory proposed in this dissertation is that the weight assigned to numerical information may be conceptualized…