60
        
        
          
            Monday afternoon
          
        
        
          novation Hyperlab provides access to a broad range of the tools of applied
        
        
          physics and engineering in a single location and can disseminate resources
        
        
          to schools around the Colorado region.
        
        
          
            Session BD:  Teaching Advanced/
          
        
        
          
            Honors Students
          
        
        
          Location:        Tate Lab 131
        
        
          Sponsor:        Committee on Physics in Undergraduate Education
        
        
          Date:              Monday, July 28
        
        
          Time:              1:30–2:40 p.m.
        
        
          Presider:  Juan Burciaga
        
        
          BD01:
        
        
          1:30-2 p.m.     Keeping it Fresh: An introductory Physics
        
        
          Sequence for any Background
        
        
          Invited – Dwight L. Whitaker, Pomona College, Claremont, CA 91711-6301;
        
        
        
          One of the biggest challenges with serving a diverse population of students
        
        
          with a range of high school preparations is to structure an introductory
        
        
          course sequence that doesn’t repeat subjects for the well prepared or
        
        
          alienate the less prepared. At Pomona College we have restructured our
        
        
          first-year physics majors’ sequence so that all students start with the same
        
        
          course. To keep the material fresh and challenging for all the students,
        
        
          they start with a course that covers material usually reserved for a third
        
        
          semester “modern physics” course (special relativity, quantum mechan-
        
        
          ics, and statistical physics). By pitching these subjects at a level that all
        
        
          students can grasp, we create a cohort of majors that all start in the same
        
        
          place, which we believe improves our retention of majors. After their first
        
        
          semester, students then take a semester of mechanics and E&M, which the
        
        
          most advanced students can place out of and move onto our upper-level
        
        
          offerings. We are now in our fifth year of this experiment and have seen an
        
        
          increase in majors compared the previous model. The student feedback has
        
        
          also been positive.
        
        
          BD02:
        
        
          2-2:30 p.m.    Lower Division Honors Physics at UC Davis
        
        
          Invited – Joseph Kiskis, University of California at Davis, Department of Phys-
        
        
          ics, Davis, CA 95616-5270;
        
        
        
          The Department of Physics at the University of California at Davis offers
        
        
          a five quarter lower division honors physics course. This is in addition to
        
        
          the two non-honors sequences of large courses—one for students majoring
        
        
          the biological sciences and one for those in engineering and the physical
        
        
          sciences. The honors course is primarily for physics majors and others in
        
        
          the latter group, but all majors are welcome. I will describe the origin of the
        
        
          course about a dozen years ago, its structure, texts, and teaching methods.
        
        
          One of the main course goals is to introduce students to special relativity
        
        
          and quantum mechanics during their first year.
        
        
          BD03:
        
        
          2:30-2:40 p.m. Honors Labs within Traditional Lectures
        
        
          Contributed – Matt Evans, University of Wisconsin - Eau Claire, 105 Garfield
        
        
          Ave., Eau Claire, WI 54701; 
        
        
        
          Erik Hendrickson U of WI - Eau Claire
        
        
          Supplying a University Honors experience in physics is difficult due to the
        
        
          limited numbers of students seeking this option and constraints on faculty
        
        
          time. Our solution is to have all students participate in the same lecture,
        
        
          but supply the honors students with a separate laboratory. This enables us
        
        
          to craft more open-ended labs, dive deeper into the material, and challenge
        
        
          these exceptional students without disenfranchising our regular students.
        
        
          Examples of labs, assigned papers, and various grading methods will be
        
        
          shared.
        
        
          
            Session BE:  PER in Upper Division
          
        
        
          
            Physics II
          
        
        
          Location:        STSS 230
        
        
          Sponsor:        AAPT
        
        
          Date:              Monday, July 28
        
        
          Time:              1:30–3 p.m.
        
        
          Presider:  Hunter Close
        
        
          BE01:
        
        
          1:30-1:40 p.m.    Upper-Division Student Difficulties with
        
        
          the Dirac Delta Function
        
        
          Contributed – Bethany R. Wilcox, University of Colorado, Boulder, CO 80302;
        
        
        
          Steven J. Pollock, University of Colorado Boulder
        
        
          The Dirac delta function is a standard mathematical tool used in multiple
        
        
          topical areas throughout the undergraduate physics curriculum. While
        
        
          delta functions are often introduced to simplify a problem mathematically,
        
        
          students often struggle to manipulate and interpret them. To better under-
        
        
          stand student difficulties with the delta function at the upper-division level,
        
        
          we examined responses to traditional exam questions and conducted mul-
        
        
          tiple think-aloud interviews. Our analysis is guided by an analytic frame-
        
        
          work that looks at how students activate, construct, execute, and reflect on
        
        
          the Dirac delta function in physics. Here, we focus on student difficulties
        
        
          using the delta function to express charge distributions in the context of
        
        
          junior-level electrostatics. Challenges include invoking the delta function
        
        
          spontaneously, constructing two- and three-dimensional delta functions,
        
        
          integrating delta functions in different coordinate systems, and recognizing
        
        
          that the delta function has units. We also discuss possible implications of
        
        
          these findings for instruction.
        
        
          BE02:
        
        
          1:40-1:50 p.m.    Investigations of Spin First Instructional
        
        
          Approach in Teaching Quantum Mechanics
        
        
          Contributed – Homeyra R. Sadaghiani, Cal Poly Pomona, Pomona, CA
        
        
          91768-2557;
        
        
        
          We are investigating student learning of quantum mechanics in two dif-
        
        
          ferent contexts. In one approach, postulates of quantum mechanics are
        
        
          introduced in the context of the wavefunction of a particle in a box with
        
        
          continuous bases of position probability densities. The second approach
        
        
          uses the context of Stern-Gerlach experiments with discrete spin bases. We
        
        
          have measured student learning of the core concepts in courses using these
        
        
          approaches with common exam questions and a standardized conceptual
        
        
          instrument. Preliminary data suggest a small but positive impact on stu-
        
        
          dents’ scores on topics related to quantum mechanical measurement in the
        
        
          classes taught using the discrete bases in the second approach. Preliminary
        
        
          data also suggest that using the discrete bases approach may shift student
        
        
          focus from computation to more sense making by providing concrete
        
        
          experimental evidence and simplifying the mathematical calculation pro-
        
        
          cesses. We will discuss the implications of this study for choices of initial
        
        
          context, the order, and emphasis of content being taught.
        
        
          BE03:
        
        
          1:50-2 p.m.    Student Reasoning about Superposition in
        
        
          Quantum Mechanics
        
        
          Contributed – Gina Passante, University of Washington, Department of Phys-
        
        
          ics, Seattle, WA 98195-0001; 
        
        
        
          Paul J. Emigh, Peter S. Shaffer, University of Washington
        
        
          Superposition is at the heart of quantum mechanics, and yet we have found
        
        
          that many students struggle with this idea even at the end of instruction.
        
        
          Although most students can successfully use the idea of superposition to
        
        
          calculate probabilities of different measurement outcomes, we have found
        
        
          that they often fail to recognize how a superposition state differs from a
        
        
          mixture or from a system whose initial state is unknown. This distinc-
        
        
          tion is one of fundamental importance in quantum mechanics and has
        
        
          implications for more complex topics such as entanglement. We present
        
        
          data from undergraduate and graduate-level quantum mechanics courses