Analysis of tasks in pre-service elementary teacher education courses

References

• Adler , J. and Davis , Z. 2006 . Opening another black box: Researching mathematics for teaching in mathematics teacher education . Journal for Research in Mathematics Education , 37 ( 4 ) : 270 – 96 .
   Web of Science ®Google Scholar
• Annenberg Media . 1997 . Teaching Math: A video library, K–4 . Annenberg Learner . http://www.learner.org/resources/series32.html
   Google Scholar
• Ball , D. , Hill , H. and Bass , H. 2005 . Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? . American Educator , 29 ( 1 ) : 14 – 7 . : 21–2, 43–6
   Google Scholar
• Ball , D. , Sleep , L. , Boerst , T.A. and Bass , H. 2009 . Combining the development of practice and the practice of development in teacher education . The Elementary School Journal , 109 ( 5 ) : 458 – 74 .
   Web of Science ®Google Scholar
• Ball , D. , Thames , M. and Phelps , G. 2008 . Content knowledge for teaching: What makes it special? . Journal of Teacher Education , 59 : 389 – 407 .
   Web of Science ®Google Scholar
• Bednarz , N. Fiorentini , D. , and R. Huang 2011 . International approaches to professional development for mathematics teachers . Ottawa , ON : University of Ottawa Press .
   Google Scholar
• Borko , H. , and RT Putnam . 1996 . Learning to teach . In Handbook of educational psychology , D. Berliner , and R. C. Calfe New York , NY : Macmillan . 673 – 708
   Google Scholar
• Borko , H. , J.A. Whitcomb and K. Byrnes . 2008 . Genres of research in teacher education . In Handbook of research on teacher education. Enduring questions in changing contexts , 3rd ed , M. Cochran-Smith , S. Feiman-Nemser , and D.J. McIntyre , 1017 – 49 . New York and London : Routledge .
   Google Scholar
• Burris , A. 2005 . Understanding the math you teach: Content and methods for prekindergarten through grade 4 , Upper Saddle River , NJ : Pearson .
   Google Scholar
• Carpenter , T.P. , Fennema , E. , Franke , M.L. , Levi , L. and Empson , S.B. 1999 . Children's mathematics: Cognitively Guided Instruction , Portsmouth , NH : Heinemann .
   Google Scholar
• Chapman , O. , and J.P. da Ponte . 2008 . Preservice mathematics teachers’ knowledge and development . In Handbook of international research in mathematics education , L. English , 223 – 61 . New York and London : Routledge .
   Google Scholar
• Chevallard , Y. 1999 . L'analyse des pratiques enseignantes en théorie anthropologique du didactique . Recherches en Didactique des Mathématiques , 19 ( 2 ) : 221 – 66 .
   Google Scholar
• Clarke , B. , B. Grevholm and R. Millman 2009 . Tasks in primary mathematics teacher education. Purpose, use and exemplars . New York , NY : Springer .
   Google Scholar
• Davis , B. and Renert , M. 2009 . Mathematics-for-teaching as shared dynamic participation . For the Learning of Mathematics , 29 ( 3 ) : 37 – 43 .
   Google Scholar
• Drexel University . 2011 . The problems of the week program . The Math Forum @ Drexel. People learning math together . http://www.mathforum.org/problems_puzzles_landing.html
   Google Scholar
• Even , R. , and Ball DL 2009 . The professional education and development of teachers of mathematics: The 15th ICMI Study . New York : Springer .
   Google Scholar
• Even , R. , and D. Tirosh . 2008 . Teacher knowledge and understanding of students’ mathematical learning and thinking . In Handbook of international research in mathematics education , L. English , 202 – 22 . New York and London : Routledge .
   Google Scholar
• Fenstermacher , G. 1994 . The knower and the known: The nature of knowledge in research on teaching . Review of Research in Education , 20 : 3 – 56 .
   Web of Science ®Google Scholar
• Ginsburg , H.P. 1989 . Children's arithmetic: How they learn it and how you teach it . Austin , TX : Pro-Ed .
   Google Scholar
• Ginsburg , H. , Jacobs , S.F. and Lopez , L.S. 1998 . The teacher's guide to flexible interviewing in the classroom: Learning what children know about math , Don Mills , ONT : Allyn and Bacon .
   Google Scholar
• Grossman , P. 2005 . Research on pedagogical approaches in teacher education . In Studying teacher education: The report of the AERA Panel on Research and Teacher Education , M. Cochran-Smith , and K. M. Zeichner , 425 – 76 . Mahwah , NJ : Lawrence Erlbaum .
   Google Scholar
• Grossman , P. , Compton , C. , Igra , D. , Ronfeld , M. , Shahan , E. and Williamson , P.W. 2009 . Teaching practice: A cross-professional perspective . Teachers College Record , 111 ( 9 ) : 2055 – 100 .
   Web of Science ®Google Scholar
• Grossman , P. and McDonald , M. 2008 . Back to the future: Directions for research in teaching and teacher education . American Educational Research Journal , 45 : 184 – 205 .
   Web of Science ®Google Scholar
• Harder , V. and Talbot , L. 1997 . How are mathematics methods courses taught? Paper presented at the Annual Meeting of the Association of Mathematics Teacher Educators (Washington, DC, February 14–15, 1997) , Washington , DC : ERIC: ED446936 .
   Google Scholar
• Hiebert , J. , Carpenter , T. , Fennema , E. , Fuson , K.C. , Wearne , D. , Murray , H. , Olivier , A. and Human , P. 1997 . Making sense: Teaching and learning mathematics with understanding , Portsmouth , NH : Heinemann .
   Google Scholar
• Hiebert , J. , Gallimore , R. and Stigler , J.W. 2002 . A knowledge base for the teaching profession: What would it look like and how can we get one? . Educational Researcher , 31 ( 5 ) : 3 – 15 .
   Google Scholar
• Jaworski , B. 2007 . Tasks: A fitting end to an era . Journal of Mathematics Teacher Education , 10 ( 4–6 ) : 201 – 4 .
   Google Scholar
• Kazemi , E. , Lampert , M. and Ghousseini , H. 2007 . Conceptualizing and using routines of practice in mathematics teaching to advance professional education , Chicago : Spencer Foundation .
   Google Scholar
• Morris , A. and Hiebert , J. 2009 . Introduction: Building knowledge bases and improving systems of practice . The Elementary School Journal , 109 ( 5 ) : 429 – 41 .
   Web of Science ®Google Scholar
• Moses , B. , Bjork , E. , and E. Goldenberg . 1990 . Beyond problem solving: Problem posing . In Teaching and learning mathematics in the 1990s , T. Cooney and C.R. Hirsch , 82 – 91 . Reston , VA : The National Council of Teachers of Mathematics .
   Google Scholar
• Osana , H. and Royea , D. 2011 . Obstacles and challenges in preservice teachers’ explorations with fractions: A view from a small-scale intervention study . Journal of Mathematical Behavior , 30 ( 4 ) : 333 – 52 .
   Google Scholar
• Osana , H. and Sierpinska , A. 2011 . Toward common ground: A framework for the investigation of mathematics methods courses. Proceedings of the 33rd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 505–13 , Reno , NV : PME-NA .
   Google Scholar
• Polya , G. 1973 . How to solve it , Princeton , NJ : Princeton University Press .
   Google Scholar
• Proulx , J. and Gattuso , L. 2010 . Formation des enseignants en mathématiques: Tendances et perspectives actuelles , Sherbrooke , QC : Editions du CRP .
   Google Scholar
• Rowland , T. , Turner , F. , Thwaites , A. and Huckstep , P. 2009 . Developing primary mathematics teaching: Reflecting on practice with the Knowledge Quartet , London : Sage .
   Google Scholar
• Sánchez , V. , and M. García . 2009 . Tasks for primary student teachers: A task of mathematics teacher educators . In Tasks in primary mathematics teacher education. Purpose, use and exemplars , B. Clarke , B. Grevholm and R. Millman , 37 – 56 . New York , NY : Springer
   Google Scholar
• Shelley , G. 1713 . Mr. Wingate's Arithmetick: Containing a plain and familiar method for attaining the knowledge and practice of common arithmetick. Composed by Edmund Wingate of Gray Inn, Esq. The thirteenth edition . London : Philips, Taylor and Knapton .
   Google Scholar
• Shulman , L. 1986 . Those who understand: Knowledge growth in teaching . Educational Researcher , 15 ( 7 ) : 4 – 14 .
   Google Scholar
• Sierpinska , A. 2005 . On practical and theoretical thinking and other false dichotomies in mathematics education . In Activity and sign – grounding mathematics education , M. Hoffmann , J. Lenhard and F. Seeger , 117 – 35 . New York : Springer .
   Google Scholar
• Sierpinska , A. 2011 . Research into preservice teacher education courses . In Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education , M. Pytlak , Rowland T and E. Swoboda , 9 – 33 . Rzeszów , , Poland : University of Rzeszów .
   Google Scholar
• Sierpinska , A. , A. Nnadozie and A. Oktaç . 2002 . A study of relationships between theoretical thinking and high achievement in linear algebra . Montreal , QC Canada. http://www.annasierpinska.wkrib.com/pdf/Sierpinska-TT-Report.pdf.
   Google Scholar
• Sierpinska , A. , and H. Osana . 2011 . An expandable indexing framework for analyzing the content of Elementary Mathematics Methods Courses . Montreal , QC : Canada. http://www.annasierpinska.wkrib.com .
   Google Scholar
• Sockett , H. 2008 . The moral and epistemic purposes of teacher education . In Handbook of research on teacher education. Enduring questions in changing contexts , 3rd ed ., M. Cochran-Smith , S. Feiman-Nemser , and D.J. McIntyre , 45 – 66 . New York and London : Routledge, Taylor and Francis Group .
   Google Scholar
• Sowder , J. 2007 . The mathematical education and development of teachers . In Second handbook of research on mathematics teaching and learning , F. Lester , 157 – 223 . Charlotte , NC : Information Age Publishing .
   Google Scholar
• Strauss , A. and Corbin , J. 1998 . Basics of qualitative research: Techniques and procedures for developing grounded theory , 2nd ed , Thousand Oaks , CA : Sage .
   Google Scholar
• Ticha , M. , and A. Hospesova . 2010 . Problem posing and development of pedagogical content knowledge in pre-service teacher training . In Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education , V. Durand-Guerrier , Soury-Lavergne S and F. Arzarello , 1941 – 50 . Lyon : INRP . http://ife.ens-lyon.fr/publications/edition-electronique/cerme6/wg10-26-ticha.pdf
   Google Scholar
• Taylor , P.M. and Ronau , R.N. 2006 . Syllabus study: A structured look at mathematics methods courses . Connections , 16 : 12 – 15 .
   Google Scholar
• Van de Walle , J. and Lovin , L.H. 2006 . Teaching student-centered mathematics. Grades 5–8 , Boston : Pearson .
   Google Scholar
• Vergnaud , G. 1983 . Multiplicative structures . In Acquisition of mathematics concepts and processes , R. Lesh and M. Landau Orlando , FL : Academic Press, Inc . 128 – 75
   Google Scholar