Reification of instructional materials as part of the process of developing problem‐based practices in mathematics education

References

• Ball , D. , Lubienski , S. and Mewborn , D. 2001 . “ Research on teaching mathematics: the unsolved problem of teachers' mathematical knowledge ” . In Handbook of research in teaching , Edited by: Richardson , V. 433 – 456 . Washington, DC : American Educational Research Association .
   Google Scholar
• Boaler , J. 2002 . Experiencing school mathematics: traditional and reform approaches to teaching and their impact on student learning , Mahwah, NJ : Erlbaum .
   Google Scholar
• Bogdan , R. and Biklen , S. 1992 . Qualitative research for education: an introduction to theory and methods , Boston, MA : Allyn & Bacon .
   Google Scholar
• Bransford , J. , Brown , A. and Cocking , R. , eds. 1999 . How people learn: brain, mind, experience, and school , Washington, DC : National Academy Press .
   Google Scholar
• Brendefur , J. and Frykholm , J. 2000 . Promoting mathematical communication in the classroom: Two preservice teachers' conceptions and practices . Journal of Mathematics Teacher Education , 3 (2) : 125 – 153 .
   Google Scholar
• Fennema , E. , Carpenter , T. P. , Franke , M. L. , Levi , L. , Jacobs , V. and Empson , S. 1996 . A longitudinal study of learning to use children's thinking in mathematics instruction . Journal for Research in Mathematics Education , 27 : 403 – 434 .
   Web of Science ®Google Scholar
• Franke , M. , Carpenter , T. , Fennema , E. , Ansell , E. and Behrend , J. 1998 . Understanding teachers' self‐sustaining, generative change in the context of professional development . Teaching & Teacher Education , 14 (1) : 67 – 80 .
   Web of Science ®Google Scholar
• Franke , M. , Carpenter , T. , Levi , L. and Fennema , E. 2001 . Capturing teachers' generative change: a follow‐up study of professional development in mathematics . American Educational Research Journal , 38 : 653 – 689 .
   Web of Science ®Google Scholar
• Friel , S. , Rachlin , S. and Doyle , D. 2001 . Navigating through algebra in grades 6–8 , Reston, VA : National Council of Teachers of Mathematics .
   Google Scholar
• Hayes , L. 2000 . Thanksgiving week with the relatives . Oregon Mathematics Teacher , Oct/Nov : 17 – 19 .
   Google Scholar
• McCaffrey , D. , Hamilton , L. , Stecher , B. , Klein , S. , Bugliari , D. and Robyn , A. 2001 . Interactions among instructional practices, curriculum, and student achievement: the case of standards‐based high school mathematics . Journal for Research in Mathematics Education , 32 (5) : 493 – 517 .
   Web of Science ®Google Scholar
• Miles , M. and Huberman , A. 1994 . Qualitative data analysis , Thousand Oaks, CA : Sage .
   Google Scholar
• Munby , H. , Russell , T. and Martin , A. 2001 . “ Teachers' knowledge and how it develops ” . In Handbook of research in teaching , Edited by: Richardson , V. 877 – 904 . Washington, DC : American Educational Research Association .
   Google Scholar
• National Council of Teachers of Mathematics . 1989 . Professional standards for teaching mathematics , Reston, VA : National Council of Teachers of Mathematics .
   Google Scholar
• National Council of Teachers of Mathematics . 1991 . Professional standards for teaching mathematics , Reston, VA : National Council of Teachers of Mathematics .
   Google Scholar
• National Council of Teachers of Mathematics . 2000 . Principles and standards for school mathematics , Reston, VA : National Council of Teachers of Mathematics .
   Google Scholar
• Oser , F. and Baeriswyl , F. 2001 . “ Choreographies of teaching: bridging instruction to learning ” . In Handbook of research in teaching , Edited by: Richardson , V. 1031 – 1065 . Washington, DC : American Educational Research Association .
   Google Scholar
• Peterson , P. , Fennema , E. , Carpenter , T. and Loef , M. 1989 . Teachers' pedagogical content beliefs in mathematics . Cognition & Instruction , 6 (1) : 1 – 40 .
   Web of Science ®Google Scholar
• Putnam , R. and Borko , H. 2000 . What do new views of knowledge and thinking have to say about research on teacher learning? . Educational Researcher , 29 : 4 – 15 .
   Google Scholar
• QSR . 2002 . N6: Software for qualitative data analysis , Melbourne : QSR .
   Google Scholar
• Richardson , V. and Placier , P. 2001 . “ Teacher change ” . In Handbook of research in teaching , Edited by: Richardson , V. 905 – 947 . Washington, DC : American Educational Research Association .
   Google Scholar
• Ross , J. , McDougall , D. , Hogaboam‐Gray , A. and LeSage , A. 2003 . A survey measuring elementary teachers' implementation of standards‐based mathematics teaching . Journal for Research in Mathematics Education , 34 (4) : 344 – 363 .
   Web of Science ®Google Scholar
• Roth , W. M. 1995 . Affordances of computers in teacher‐student interactions: the case of interactive physics . Journal of Research in Science Teaching , 32 (4) : 329 – 347 .
   Web of Science ®Google Scholar
• Roth McDuffie , A. and Mather , M. 2004 . “ Professional development for teacher and teacher educator through sustained collaboration ” . In The work of mathematics teacher educators [monograph] , Edited by: Watanabe , T. and Thompson , D. 189 – 204 . San Diego, CA : Association of Mathematics Teacher Educators .
   Google Scholar
• Schoen , H. , Cegulla , K. , Finn , K. and Fi , C. 2003 . Teacher variables that relate to student achievement when using a standards‐based curriculum . Journal for Research in Mathematics Education , 34 (3) : 228 – 259 .
   Web of Science ®Google Scholar
• Sfard , A. 1995 . The development of algebra: confronting historical and psychological perspectives . Journal of Mathematical Behavior , 14 : 15 – 39 .
   Google Scholar
• Sfard , A. and Linchevski , L. 1994 . The gains and the pitfalls of reification: the case of algebra . Educational Studies in Mathematics , 26 : 191 – 228 .
   Google Scholar
• Silver , Burdett and Ginn . 1994 . Mathematics: exploring your world , Morristown, NJ : Silver, Burdett & Ginn .
   Google Scholar
• Simon , M. 2000 . “ Research on the development of mathematics teachers: the teacher development experiment ” . In Handbook of research design in mathematics and science education , Edited by: Kelly , A. and Lesh , R. 335 – 360 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Smith , M. 2001 . Practice‐based professional development for teachers of mathematics , Reston, VA : National Council of Teachers of Mathematics .
   Google Scholar
• Stein , M. , Smith , M. , Henningsen , M. and Silver , E. 2000 . Implementing standards‐based mathematics instruction: a casebook for professional development , New York : Teachers College Press .
   Google Scholar
• Stigler , J. and Hiebert , J. 1999 . The teaching gap , New York, NY : The Free Press .
   Google Scholar
• Strauss , A. and Corbin , J. 1990 . The basics of qualitative research: grounded theory procedures and techniques , Newbury Park, CA : Sage .
   Google Scholar
• Thompson , C. and Zeuli , J. 1999 . “ The frame and the tapestry: standards‐based reform and professional development ” . In Teaching as the learning profession: handbook of policy and practice , Edited by: Darling‐Hammond , L. and Sykes , G. 341 – 375 . San Francisco : Jossey‐Bass .
   Google Scholar
• Thornley , C. , Parker , R. , Read , K. and Eason , V. 2004 . Developing a research partnership: teachers as researchers and teacher educators . Teachers & Teaching: Theory & Practice , 10 (1) : 7 – 20 .
   Google Scholar