Teach Ourselves: Technology to Support Problem Posing in the STEM Classroom

The theory of problem posing in mathematics education suggests that there are motivational and cognitive benefits for students from creating their own problems, yet such activities are not typically integrated into the traditional classroom. A field study was conducted to learn if middle school students (N = 224) could successfully create math and science problems using a web-based content-authoring and sharing system, and if the activity could be successfully integrated into classroom instruction. Over the twelve-week activity, students created their own math and science problems, and solved problems authored by their peers. Results showed that students were able to create problems successfully, but that problem solving dominated problem posing activities. The process of reviewing and approving students’ work was also challenging for teachers. Both students and teachers reported strongly positive responses to the activity.

[1]  Angeliki Kolovou,et al.  Mathematical problem solving in primary school , 2011 .

[2]  Cinzia Bonotto,et al.  Engaging Students in Mathematical Modelling and Problem Posing Activities , 2011 .

[3]  Erin E. Turner,et al.  Math Club Problem Posing. , 2009 .

[4]  Mara Cotič,et al.  Problem‐based instruction in mathematics and its impact on the cognitive results of the students and on affective‐motivational aspects , 2009 .

[5]  Michelene T. H. Chi,et al.  Active-Constructive-Interactive: A Conceptual Framework for Differentiating Learning Activities , 2009, Top. Cogn. Sci..

[6]  Trevor Williams,et al.  Highlights from TIMSS 2007: Mathematics and Science Achievement of U.S. Fourth- and Eighth-Grade Students in an International Context. NCES 2009-001. , 2008 .

[7]  Michelene T. H. Chi,et al.  Observing Tutorial Dialogues Collaboratively: Insights About Human Tutoring Effectiveness From Vicarious Learning , 2008, Cogn. Sci..

[8]  D Wright,et al.  Thinking Through Mathematics , 2008 .

[9]  Bingyi Wang,et al.  Research on Mathematics Instruction Experiment Based Problem Posing , 2008 .

[10]  Carole R. Beal,et al.  Problem Posing in AnimalWatch: An Interactive System for Student-Authored Content , 2008, FLAIRS.

[11]  Rod D. Roscoe,et al.  Understanding Tutor Learning: Knowledge-Building and Knowledge-Telling in Peer Tutors’ Explanations and Questions , 2007 .

[12]  Tsukasa Hirashima,et al.  Learning by Problem-Posing as Sentence-Integration and Experimental Use , 2007, AIED.

[13]  Kurt VanLehn,et al.  Explaining Self-Explaining: A Contrast between Content and Generation , 2007, AIED.

[14]  M. Swan,et al.  Thinking through mathematics , 2007 .

[15]  Katherine A. Selgrade,et al.  Enhancing Inclusion in Computer Science Education , 2006 .

[16]  Michelene T. H. Chi,et al.  Self-explanation 1 the Self-explanation Principle , 2006 .

[17]  Michelene T. H. Chi,et al.  The Cambridge Handbook of Multimedia Learning: The Self-Explanation Principle in Multimedia Learning , 2005 .

[18]  P. Whitin Promoting Problem-Posing Explorations , 2004 .

[19]  Sandra Crespo,et al.  Learning to pose mathematical problems: Exploring changes in preservice teachers' practices , 2003 .

[20]  I. Arroyo,et al.  Students in AWE : changing their role from consumers to producers of ITS content , 2003 .

[21]  J. Mestre Probing adults' conceptual understanding and transfer of learning via problem posing , 2002 .

[22]  Jinfa Cai,et al.  Generalized and generative thinking in US and Chinese students’ mathematical problem solving and problem posing , 2002 .

[23]  Eric J. Knuth Fostering Mathematical Curiosity. , 2002 .

[24]  James S. Braswell,et al.  The Nation's Report Card: Mathematics, 2000. , 2001 .

[25]  Jinfa Cai An investigation of U.S. and Chinese students’ mathematical problem posing and problem solving , 1998 .

[26]  Lyn D. English,et al.  Promoting a Problem-Posing Classroom. , 1997 .

[27]  Kathryn A. Verzoni Turning Students into Problem Solvers. , 1997 .

[28]  Edward A. Silver,et al.  An Analysis of Arithmetic Problem Posing by Middle School Students. , 1996 .

[29]  A. King Comparison of Self-Questioning, Summarizing, and Notetaking-Review as Strategies for Learning From Lectures , 1992 .

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

[31]  Stephen I. Brown,et al.  The Art of Problem Posing , 1983 .

[32]  W. Buchholz The Ωμ+1-Rule , 1981 .

[33]  George Polya,et al.  Mathematical discovery : on understanding, learning, and teaching problem solving , 1962 .