Abstract

[This paper is part of the Focused Collection on Curriculum Development: Theory into Design.] This manuscript discusses how learning theories have been applied to shape multiple aspects of the design of curricular activities combining interactive computer simulations and University of Washington style tutorials (so-called simulation-tutorials). When considering the curriculum goals (what to teach), we drew on theories of representational competence and learning with multiple representations. When considering how to teach, we drew on theories of constructivism and sketching to learn, leveraging the advantages of sketching as a constructive process that requires students to make their current understanding explicit in visual form, to make specific choices in order to make their ideas concrete, and to organize information to support deep processing. When considering when and why to sketch, we drew upon theories of representational competence, learning with multiple representations and inventing to prepare for future learning to describe six distinct purposes of sketching both prior to and while working with the simulation. This is illustrated by presenting specific sketching tasks to show how theory informed the design and the sequencing of the tasks. We followed a design-based research method, working at two institutions in two countries and with multiple cohorts of students to understand, and where necessary improve, the design of these activities, primarily basing our decisions on the sketches that students had created. The key message of this research is that the design and sequencing of sketching tasks needs to be carefully matched to the pedagogical rationale and that theory can shape these decisions in many ways.1 MoreReceived 28 June 2019Accepted 20 December 2019DOI:https://doi.org/10.1103/PhysRevPhysEducRes.16.020139Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasInstructional materials developmentLearning theoryPhysics Education Research

Highlights

  • Expert physicists use representations such as equations, graphs, and diagrams to reason about phenomena, imagine new situations, test ideas, and explain their findings to peers, students, and the general public (e.g., Refs. [1,2])

  • We return to reflecting on how theory influenced the curriculum goals, the pedagogical approach, and specific choices made by the research team

  • When considering the curriculum goals, we drew on theories of representational competence and learning with multiple representations (e.g., Refs. [3,18])

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Summary

INTRODUCTION

Expert physicists use representations such as equations, graphs, and diagrams to reason about phenomena, imagine new situations, test ideas, and explain their findings to peers, students, and the general public (e.g., Refs. [1,2]). Our overarching research question was how sketching combined with interactive tutorials can best be designed to support the development of representational competence in quantum mechanics This manuscript discusses how learning theories shaped the curriculum goals, the overall pedagogical approach and choices made at the level of activity phases, individual tasks and their sequencing in the simulation-tutorials. To this end, the manuscript is structured as follows: In Sec. II, we show how learning theories shaped what students should come to know (i.e., representational competence in quantum mechanics).

REPRESENTATIONAL COMPETENCE IN QUANTUM MECHANICS
HOW SKETCHING CAN SUPPORT LEARNING
WHEN AND WHY TO SKETCH
Sketching to prepare for learning with the simulations
Sketching to activate prior knowledge
Sketching to transform across representations
Sketching to invent representations
Sketching while learning with the simulations
Sketching to observe
Sketching to understand the properties of a visual representation
Sketching to reason
Sequencing of sketching tasks
ANALYSIS OF STUDENTS’ RESPONSES
Methodology
Findings
DISCUSSION AND CONCLUSION
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