Mathematical thinking: how to develop it in the classroom

References

• Artigue , M. 2011 . Review of “Theories of mathematics education: Seeking new frontiers” . Research in Mathematics Education , 13 : 311 – 316 . doi: 10.1080/14794802.2011.585835
   Google Scholar
• Hannula , M.S. 2002 . Attitude towards mathematics: Emotions, expectations and values . Educational Studies in Mathematics , 49 : 25 – 46 . doi: 10.1023/A:1016048823497
   Google Scholar
• Harel , G. and Tall , D. 1991 . The general, the abstract and the generic in advanced mathematics . For the Learning of Mathematics , 11 ( 1 ) : 38 – 42 .
   Google Scholar
• Kao , T.I. and Swetz , F.J. 1977 . Was Pythagoras Chinese?: An examination of right triangle theory in Ancient China , Philedelphia , PA : Pennsylvania State University Press .
   Google Scholar
• Leikin , R. and Zazkis , R. 2012 . On the connections between general education theories and theories in mathematics education. Review of Sriraman B., and L. English, eds. 2010. Theories of mathematics education: Seeking new frontiers . Journal for Research in Mathematics Education , 43 ( 2 ) : 223 – 32 . doi: 10.5951/jresematheduc.43.2.0223
   Web of Science ®Google Scholar
• Mason , J. 2000 . Asking mathematical questions mathematically . International Journal of Mathematics Education in Science and Technology , 31 ( 1 ) : 97 – 111 . doi: 10.1080/002073900287426
   Google Scholar
• Mason , J. , Burton , L. and Stacey , K. 1982/2010 . Thinking mathematically , London : Addison-Wesley .
   Google Scholar
• Mason J. , and S. Johnston-Wilder . 2006 . Designing and using mathematical tasks . Diss, Tarquin Publications .
   Google Scholar
• Mason , J. and Pimm , D. 1984 . Generic examples: Seeing the general in the particular . Educational Studies in Mathematics , 15 : 277 – 89 . doi: 10.1007/BF00312078
   Google Scholar
• McLeod , D.B. 1992 . “ Research on affect in mathematics education: A reconceptualization ” . In Handbook of research on mathematics teaching and learning , Edited by: Grouws , D.A. 575 – 96 . New York : Macmillan .
   Google Scholar
• National Council of Teachers of Mathematics (NCTM) . 2000 . Principles and Standards for School Mathematics . Reston , VA : NCTM .
   Google Scholar
• Pólyà , G. 1945/1988 . How to solve it: A new aspect of mathematical method , Princeton , NJ : Princeton University Press .
   Google Scholar
• Schoenfeld , A. 1985 . Mathematical problem solving , New York , NY : Academic Press .
   Google Scholar
• Schoenfeld , A. 1992 . “ Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics ” . In Handbook for research on mathematics teaching and learning , Edited by: Grouws , D.A. 334 – 70 . New York : Macmillan .
   Google Scholar
• Schoenfeld , A. 2000 . Purposes and methods of research in mathematics education . Notices of the American Mathematical Society , 47 : 641 – 49 .
   Google Scholar
• Van de Walle , J. A. and Folk , S. 2008 . Elementary and middle school mathematics: Teaching developmentally , 2nd Canadian ed , Toronto , ON : Pearson Canada .
   Google Scholar
• Watson , A. and Mason , J. 1998 . Questions and prompts for mathematical thinking , Derby : Association of Teachers of Mathematics .
   Google Scholar
• Zazkis , R. , Liljedahl , P. and Sinclair , N. 2009 . Lesson plays: Planning teaching vs. teaching planning . For the Learning of Mathematics , 29 ( 1 ) : 40 – 7 .
   Google Scholar
• Zazkis , R. , Sinclair , N. and Liljedahl , P. 2013 . Lesson Play in mathematics education: A tool for research and professional development , New York , NY : Springer .
   Google Scholar