Teachers implementing mathematical problem posing in the classroom: challenges and strategies

This paper reports a study about how a teacher educator shared knowledge with teachers when they worked together to implement mathematical problem posing (MPP) in the classroom. It includes feasible methods for getting practitioners to use research-based tasks aligned to the curriculum in order to encourage children to pose mathematical problems. Techniques, challenges, and strategies of implementing an MPP focus were also reported.

[1]  K. Krainer Individuals, Teams, Communities and Networks: Participants and Ways of Participation in Mathematics Teacher Education: An Introduction , 2008 .

[2]  E. Silver On Mathematical Problem Posing. , 1994 .

[3]  Etienne Wenger,et al.  Situated Learning: Legitimate Peripheral Participation , 1991 .

[4]  Edward A. Silver,et al.  The role of task format, mathematics knowledge, and creative thinking on the arithmetic problem posing of prospective elementary school teachers , 1997 .

[5]  Nerida F. Ellerton,et al.  Children's made-up mathematics problems — a new perspective on talented mathematicians , 1986 .

[6]  Herbert A. Simon,et al.  The Structure of Ill Structured Problems , 1973, Artif. Intell..

[7]  Jeremy Kilpatrick,et al.  International handbook of mathematics education , 1997 .

[8]  Douglas A. Grouws,et al.  Handbook of research on mathematics teaching and learning , 1992 .

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

[10]  R. Yin Case Study Research: Design and Methods , 1984 .

[11]  Anthony Ralston,et al.  Knowing and teaching elementary mathematics , 1999 .

[12]  Lyn D. English,et al.  Engaging Students in Problem Posing in An Inquiry-Oriented Mathematics Classroom , 2003 .

[13]  H. Freudenthal Mathematics as an Educational Task , 1972 .

[14]  John Elliott,et al.  Action research for educational change , 1991 .

[15]  Carol S. Parke Using assessment to improve middle-grades mathematics teaching & learning : suggested activities using QUASAR tasks, scoring criteria, and students' work , 2003 .

[16]  Etienne Wenger,et al.  Communities of Practice: Learning, Meaning, and Identity , 1998 .

[17]  Lyn D. English,et al.  Problem Posing and Solving with Mathematical Modeling , 2005 .

[18]  G. Pólya Mathematics and Plausible Reasoning , 1958 .

[19]  A. Twycross Research design: qualitative, quantitative and mixed methods approaches Research design: qualitative, quantitative and mixed methods approaches Creswell John W Sage 320 £29 0761924426 0761924426 [Formula: see text]. , 2004, Nurse researcher.

[20]  John W. Creswell,et al.  Research Design: Qualitative, Quantitative, and Mixed Methods Approaches , 2010 .

[21]  Marja van den Heuvel-Panhuizen Student-Generated Problems: Easy and Difficult Problems on Percentage. , 1995 .

[22]  A. Su,et al.  The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.

[23]  Barbara Jaworski,et al.  Mathematics teacher educator learning and development , 2008 .

[24]  Edward A. Silver,et al.  Implementing Standards-Based Mathematics Instruction: A Casebook for Professional Development , 2009 .

[25]  M. C. Provost,et al.  Teachers as Researchers , 2004 .

[26]  Thomas J. Cooney,et al.  Inservice Mathematics Teacher Education: The Importance of Listening , 1996 .

[27]  Kristen N. Bieda Enacting proof-related tasks in middle school mathematics: Challenges and opportunities , 2010 .

[28]  M. Haberman,et al.  Handbook of Research on Teacher Education , 1990 .

[29]  E. Wenger Communities of Practice: Learning, Meaning, and Identity , 1998 .