Enhanced conceptual understanding in first year mechanics through modelling

As part of the National HE STEM programme, we have developed and implemented a modelling curriculum in first year mechanics to overcome well known conceptual difficulties. By modelling, we mean more than just the development of mathematical equations to describe the evolution of a physical system; we also mean the use of multiple representations both to understand the problem at hand as well as to develop a solution. We have developed a structured approach to both teaching and assessing the use of such representations through the ACME protocol: Assess the problem, Conceptualise the Model, and Evaluate the solution. This paper describes the implementation of this protocol within a conventional lecture setting during a single semester of the 2011-12 academic session and demonstrates the impact on conceptual understanding of 42 students though pre-course and post-course testing using the Force Concept Inventory (FCI). Detailed analysis shows that on virtually every question in the FCI student performance improved, with questions 4 and 15, relating to Newton’s third law, showing especially large gains. The average FCI score rose from 17.7 (out of 30) to 22.5, with the distribution of post-instruction scores being statistically significantly different (p=0.0001) from the distribution of pre-instruction scores.

[1]  Paul J. Feltovich,et al.  Categorization and Representation of Physics Problems by Experts and Novices , 1981, Cogn. Sci..

[2]  Nancy J. Nersessian,et al.  Creating Scientific Concepts , 2008 .

[3]  Tina Overton,et al.  Cognitive psychology and problem solving in the physical sciences , 2010 .

[4]  David Sands,et al.  Ausubel’s principle of prior knowledge in first year mechanics , 2011 .

[5]  Andrea A. diSessa,et al.  The third revolution in computers and education , 1987 .

[6]  Lillian C. McDermott,et al.  Oersted Medal Lecture 2001: “Physics Education Research—The Key to Student Learning” , 2001 .

[7]  D. Hestenes Toward a modeling theory of physics instruction , 1987 .

[8]  D. Hestenes,et al.  Force concept inventory , 1992 .

[9]  R. Hake Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses , 1998 .

[10]  Ross K. Galloway,et al.  Diagnostic tests for the physical sciences: A brief review , 2010 .

[11]  R. Glaser Education and Thinking: The Role of Knowledge. , 1984 .

[12]  Juan R. Burciaga,et al.  Teaching Physics with the Physics Suite , 2004 .

[13]  Ibrahim A. Halloun,et al.  The initial knowledge state of college physics students , 1985 .

[14]  Bruce Sherwood,et al.  Computational physics in the introductory calculus-based course , 2008 .

[15]  David Sands First year mechanics taught through modelling in VPython , 2010 .

[16]  Dorothea P. Simon,et al.  Expert and Novice Performance in Solving Physics Problems , 1980, Science.

[17]  R. Hake Lessons from the Physics Education Reform Effort , 2001, physics/0106087.

[18]  Lillian C. McDermott,et al.  Physics education research: the key to student learning , 2001 .