Helping students learn effective problem solving strategies by reflecting with peers

We study how introductory physics students engage in reflection with peers about problem solving. The recitations for an introductory physics course with 200 students were broken into a “peer reflection” (PR) group and a traditional group. Each week in recitation, small teams of students in the PR group reflected on selected problems from the homework and discussed why the solutions of some students employed better problem solving strategies than others. The graduate and undergraduate teaching assistants in the PR recitations provided guidance and coaching to help students learn effective problem solving heuristics. In the traditional group recitations students could ask the graduate TA questions about the homework before they took a weekly quiz. The traditional group recitation quiz questions were similar to the homework questions selected for peer reflection in the PR group recitations. As one measure of the impact of this intervention, we investigated how likely students were to draw diagrams to help w...

[1]  Eric Mazur Understanding or Memorization: Are We Teaching the Right Thing? , 1998 .

[2]  J. Mestre,et al.  The relation between problem categorization and problem solving among experts and novices , 1989, Memory & cognition.

[3]  Frederick Reif,et al.  Understanding and teaching important scientific thought processes , 1995 .

[4]  Frederick Reif,et al.  Millikan Lecture 1994: Understanding and teaching important scientific thought processes , 1995 .

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

[6]  Keith J. Holyoak,et al.  The cognitive basis of knowledge transfer. , 1987 .

[7]  J. Larkin,et al.  Understanding and Teaching Problem‐Solving in Physics , 1979 .

[8]  Alan H. Schoenfeld,et al.  Mathematical Problem Solving , 1985 .

[9]  K. Holyoak,et al.  Mental Leaps: Analogy in Creative Thought , 1994 .

[10]  Chandralekha Singh,et al.  Assessing Student Expertise in Introductory Physics with Isomorphic Problems. I. Performance on Nonintuitive Problem Pair from Introductory Physics. , 2008, 1602.06499.

[11]  Frederick Reif,et al.  Teaching problem solving‐A scientific approach , 1981 .

[12]  Jill H. Larkin,et al.  Cognition of learning physics , 1981 .

[13]  Patricia A. Heller,et al.  Teaching problem solving through cooperative grouping. Part 1: Group versus individual problem solving , 1992 .

[14]  E. Mazur,et al.  Peer Instruction: Ten years of experience and results , 2001 .

[15]  Chandralekha Singh When physical intuition fails , 2002 .

[16]  Patricia A. Heller,et al.  Teaching problem solving through cooperative grouping. Part 2: Designing problems and structuring groups , 1992 .

[17]  Eric Mazur,et al.  Farewell, Lecture? , 2009, Science.

[18]  B. Rogoff Apprenticeship in Thinking: Cognitive Development in Social Context , 1990 .

[19]  Robert J. Marzano,et al.  Dimensions of Thinking: A Framework for Curriculum and Instruction , 1988 .

[20]  Bat-Sheva Eylon,et al.  Physics Learning In The Context Of Scaffolded Diagnostic Tasks (I): The Experimental Setup , 2007 .

[21]  D. Herrmann,et al.  Problem perception and knowledge structure in expert and novice mathematical problem solvers. , 1982 .

[22]  Susan E. Newman,et al.  Cognitive Apprenticeship: Teaching the Craft of Reading, Writing, and Mathematics. Technical Report No. 403. , 1987 .

[23]  P. Black,et al.  Assessment and Classroom Learning , 1998 .

[24]  P. Black,et al.  Inside the Black Box: Raising Standards through Classroom Assessment , 2010 .

[25]  Herbert A. Simon,et al.  Why a Diagram is (Sometimes) Worth Ten Thousand Words , 1987, Cogn. Sci..

[26]  Chandralekha Singh,et al.  Categorization of problems to assess and improve proficiency as teachers and learners , 2016, 1602.07677.

[27]  Chandralekha Singh,et al.  Impact of peer interaction on conceptual test performance , 2005, 1602.07661.

[28]  A. Schoenfeld Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint) , 2009 .

[29]  Gerald van Belle,et al.  Statistical Rules of Thumb, Second Edition , 2008 .

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

[31]  Michelene T. H. Chi,et al.  Self-Explanations: How Students Study and Use Examples in Learning To Solve Problems. Technical Report No. 9. , 1987 .

[32]  Pamela Thibodeau Hardiman,et al.  The Relation between Problem Categorization and Problem Solving among Novices and Experts. , 1988 .

[33]  Frederick Reif,et al.  Scientific approaches to science education , 1986 .