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Research and Evaluation
All Publications and Presentations (complete, most up-to-date)
Michael Wittmann, Dissertation
Making Sense of How Students Come to an Understanding of Physics: An Example from Mechanical Waves
Abstract
While physics education research (PER) has traditionally focused on introductory physics, little work has been done to organize and develop a model of how student come to make sense of the material they learn. By understanding how students build their knowledge of a specific topic, we can develop effective instructional materials. In this dissertation, I describe an investigation of student understanding of mechanical and sound waves, how we organize our findings, and how our results lead to the development of curriculum materials used in the classroom.
The physics of mechanical and sound waves at the introductory level (using the small-amplitude approximation in a dispersionless system) involves fundamental concepts that are difficult for many students. These include: distinguishing between medium properties and boundary conditions, recognizing local phenomena (e.g. superposition) in extended systems, using mathematical functions of two variables, and interpreting and applying the mathematics of waves in a variety of settings. Student understanding of these topics is described in the context of wave propagation, superposition, use of mathematics, and other topics. Investigations were carried out using the common tools of PER, including free response, multiple-choice, multiple-response, and semi-guided individual interview questions.
Student reasoning is described in terms of primitives generally used to simplify reasoning about complicated topics. I introduce a previously undocumented primitive, the object as point primitive. We organize student descriptions of wave physics around the idea of patterns of associations that use common primitive elements of reasoning. We can describe students as if they make an analogy toward Newtonian particle physics. The analogy guides students toward describing a wave as if it were a point particle described by certain unique parts of the wave. A diagnostic test has been developed to probe the dynamics of student reasoning during the course of instruction.
We have replaced traditional recitation instruction with curriculum materials designed to help students come to a more complete and appropriate understanding of wave physics. We find that the research-based instructional materials are more effective than the traditional lecture setting in helping students apply appropriate reasoning elements to the physics of waves.
Downloadable Dissertation Documents
Please note that there may be slight formatting errors in the documents. I don't know what was going wrong with Adobe Acrobat. If you find any errors, please send a message to me (I think I caught most, but I may be wrong).
Abstract, Contents, and Chapter 1: Introduction (54k)
Chapter 2: Overview of Previous Research (148k)
Chapter 3: Student Difficulties with Wave Physics (117k)
Chapter 4: A Model of Student Learning (85k)
Chapter 5: The Particle Pulses Mental Model (68k)
Chapter 6: Development, Implementation, and Evaluation of Tutorials (189k)
Chapter 7: Investigating the Dynamics of Student Reasoning (92k)
Chapter 8: Summary (24k)
Appendices (including tutorial materials and wave diagnostic tests) (275k)
Bibliography (14k)
If you are interested in getting teaching materials presented in appendix format in the appendices above, go to the University of Maryland Physics Education Research Group page on Activity Based Physics and follow the link to ABP tutorials. You will need a password to access these materials. To get the password, mail me a message.
If you are interested in the wave diagnostic test, you can download it at this location. It is not password protected, but I would ask you to send me an email if you download it. Thanks.
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