Wednesday, November 4, 2009
Goertzen, Scherr, Elby, PRST-PER, (2009)
Download a copy here.
Renee Michelle Goertzen, Rachel E. Scherr, and Andrew Elby
Accepted to the Physical Review Special Topics: Physics Education Research.
Abstract. Successful implementation of tutorials includes establishing norms for learning in the tutorial classroom. The teaching assistants (TAs) who lead each tutorial section are important arbiters of these norms. TAs who value (buy into) tutorials are more likely to convey their respect for the material and the tutorial process to the students, as well as learning more themselves. We present a case study of a TA who does not buy into certain aspects of the tutorials he teaches and demonstrate how his lack of buy-in affects specific classroom interactions. We would hope to design professional development programs to help TAs appreciate the power of tutorial instruction. However, our research suggests that the typical professional development activities offered to tutorial TAs are not likely to be effective. Instead, it appears that what we call the “social and environmental context” of the tutorials – including classroom, departmental, and institutional levels of implementation – has the potential to strongly affect TA buy-in to tutorials, and probably outweighs the influence of any particular activity that we might prepare for them.
Sunday, August 23, 2009
Redish & Gupta, GIREP Conference Presentation (2009)
Making Meaning with Math in Physics
Edward F. Redish and Ayush Gupta
Contributed paper presented at GIREP2009, Leicester, UK, August 20, 2009.
Physics makes powerful use of mathematics, yet how this happens is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive knowledge structures. But because of the way the cognitive system builds expertise, instructors who are expert physicists may have difficulty in unpacking their well-integrated knowledge in order to understand the difficulties novice students have in learning their subject. Despite the fact that students may have previously been exposed to ideas in math classes, the addition of physical contexts can produce severe barriers to learning and sense-making. In order to better understand student difficulties and to unpack expert knowledge, we adopt and adapt ideas and methods from cognitive semantics, a sub-branch of linguistics devoted to understanding how meaning is associated with language. We illustrate this with examples spanning the physics curriculum.
Redish & Bing, GIREP Conference Poster (2009)
Prepared in conjunction with Symposium, “Mathematization in Physics Lessons: Problems and Perspectives”, R. Karam and G. Pospiech, organizers. GIREP meeting, Leicester, UK, 18. August, 2009.
Abstract: Mathematics is an essential component of university level science, but it is more complex than a straightforward application of rules and calculation. Using math in science critically involves the blending of ancillary information with the math in a way that both changes the way that equations are interpreted and provides metacognitive support for recovery from errors. We have made ethnographic observations of groups of students solving physics problems in classes ranging from introductory algebra based physics to graduate quantum mechanics. These lead us to conjecture that expert problem solving in physics requires the development of the complex skill of mixing different classes of warrants – the ability to blend physical, mathematical, and computational reasons for constructing and believing a result. In order to analyze student behavior along this dimension, we have created analytical tools including epistemic frames and games. These should provide a useful lens on the development of problem solving skills and permit an instructor to recognize the development of sophisticated problem solving behavior even when the student makes mathematical errors.