500
Views
9
CrossRef citations to date
0
Altmetric
Research papers

Prospective teachers’ beliefs about problem-solving: Cypriot and English cultural constructions

&
Pages 69-85 | Published online: 22 Feb 2012

References

  • Adetula , L.O. 1990 . Language factor: Does it affect children's performance on word problems? . Educational Studies in Mathematics , 21 ( 4 ) : 351 – 65 .
  • Aguirre , J. and Speer , N.M. 1999 . Examining the relationship between beliefs and goals in teacher practice . The Journal of Mathematical Behavior , 18 ( 3 ) : 327 – 56 .
  • Andrews , P. 2007a . Mathematics teacher typologies or nationally located patterns of behaviour . International Journal of Educational Research , 46 ( 5 ) : 306 – 18 .
  • Andrews , P. 2007b . The curricular importance of mathematics: A comparison of English and Hungarian teachers’ espoused beliefs . Journal of Curriculum Studies , 39 ( 3 ) : 317 – 38 .
  • Andrews , P. 2009 . Comparative studies of mathematics teachers' observable learning objectives: Validating low inference codes . Educational Studies in Mathematics , 71 ( 2 ) : 97 – 122 .
  • Andrews , P. 2011 . The cultural location of teachers’ mathematical knowledge: Another hidden variable in mathematics education research? In Mathematical knowledge in teaching , T. Rowland and K. Ruthven , 99 – 118 . New York : Springer .
  • Arcavi , A. and Friedlander , A. 2007 . Curriculum developers and problem solving: The case of Israeli elementary school projects . ZDM , 39 ( 5 ) : 355 – 64 .
  • Bassok , M. 1990 . Transfer of domain-specific problem-solving procedures . Journal of Experimental Psychology: Learning, Memory, and Cognition , 16 ( 3 ) : 522 – 33 .
  • Beswick , K. 2005 . The beliefs/practice connection in broadly defined contexts . Mathematics Education Research Journal , 17 ( 2 ) : 39
  • Blum , W. and Niss , M. 1991 . Applied mathematical problem solving, modelling, applications, and links to other subjects – state, trends and issues in mathematics instruction . Educational Studies in Mathematics , 22 ( 1 ) : 37 – 68 .
  • Borasi , R. 1986 . On the nature of problems . Educational studies in mathematics , 17 ( 2 ) : 125 – 41 .
  • Boyatzis , R.E. 1998 . Transforming qualitative information: Thematic analysis and code development , Thousand Oaks , CA : Sage .
  • Bransford , J.D. , Brown , A.L. and Cocking , R.R. 2000 . How people learn , Washington , DC : National Academy Press .
  • Cai , J. 1995 . A cognitive analysis of US and Chinese students' mathematical performance on tasks involving computation, simple problem solving, and complex problem solving . Journal for Research in Mathematics Education. Monograph 7 .
  • Cai , J. 2010 . Commentary on problem solving heuristics, affect, and discrete mathematics: A representational discussion . In Theories of Mathematics Education , B. Sriraman and L. English , 251 – 60 . Dordrecht : Springer .
  • Cai , J. and Lester , F. 2005 . Solution representations and pedagogical representations in Chinese and US classrooms . The Journal of Mathematical Behavior , 24 ( 3–4 ) : 221 – 37 .
  • Cai , J. , and F. Lester . 2007 . Contributions from cross-national comparative studies to the internationalization of mathematics education: Studies of Chinese and US classrooms . Internationalisation and Globalisation in Mathematics and Science Education : 269 – 83 .
  • Cai , J. and Nie , B. 2007 . Problem solving in Chinese mathematics education: Research and practice . ZDM , 39 ( 5 ) : 459 – 73 .
  • Chapman , O. 1997 . Metaphors in the teaching of mathematical problem solving . Educational Studies in Mathematics , 32 ( 3 ) : 201 – 28 .
  • Cooney , T.J. , Shealy , B.E. and Arvold , B. 1998 . Conceptualizing belief structures of preservice secondary mathematics teachers . Journal for Research in Mathematics Education , 29 ( 3 ) : 306 – 33 .
  • Cope , C. 2004 . Ensuring validity and reliability in phenomenographic research using the analytical framework of a structure of awareness . Qualitative Research Journal , 42 ( 2 ) : 5 – 18 .
  • Correa , C.A. , Perry , M. , Sims , L.M. , Miller , K.F. and Fang , G. 2008 . Connected and culturally embedded beliefs: Chinese and US teachers talk about how their students best learn mathematics . Teaching and Teacher Education , 24 ( 1 ) : 140 – 53 .
  • Cummins , D.D. 1988 . The role of understanding in solving word problems . Cognitive psychology , 20 ( 4 ) : 405 – 38 .
  • Curricula Development Service of Cyprus – CDS . 1999 . Aναλυτıκά Πρoγράμματα Δημoτικής Eκπαíδϵυσης [National Curriculum for Primary Education] . Nicosia : Cyprus Pedagogical Institute .
  • DfE and QCA . 1999 . The National Curriculum for England: Mathematics . Her Majesty's Stationery Office .
  • Drake , C. 2006 . Turning points: Using teachers' mathematics life stories to understand the implementation of mathematics education reform . Journal of Mathematics Teacher Education , 9 ( 6 ) : 579 – 608 .
  • Entwistle , N.J. and Peterson , E.R. 2004 . Conceptions of learning and knowledge in higher education: Relationships with study behaviour and influences of learning environments . International Journal of Educational Research , 41 ( 6 ) : 407 – 28 .
  • Ernest , P. 1989 . The knowledge, beliefs and attitudes of the mathematics teacher: A model . Journal of Education for Teaching , 15 ( 1 ) : 13 – 33 .
  • Fan , L. and Zhu , Y. 2007 . From convergence to divergence: The development of mathematical problem solving in research, curriculum, and classroom practice in Singapore . ZDM , 39 ( 5 ) : 491 – 501 .
  • Givvin , K.B. , Hiebert , J. , Jacobs , J.K. , Hollingsworth , H. and Gallimore , R. 2005 . Are there national patterns of teaching? Evidence from the TIMSS 1999 video study . Comparative Education Review , 49 ( 3 ) : 311 – 43 .
  • Goldin , G.A. 2004 . Problem solving heuristics, affect, and discrete mathematics . ZDM , 36 ( 2 ) : 56 – 60 .
  • Guilford , J.P. 1956 . The structure of intellect . Psychological Bulletin , 53 ( 4 ) : 267 – 93 .
  • Haggis , T. 2003 . Constructing images of ourselves? A critical investigation into ‘approaches to learning' research in higher education . British Educational Research Journal , 29 ( 1 ) : 89 – 104 .
  • Hofstede , G. 1986 . Cultural differences in teaching and learning . International Journal of Intercultural Relations , 10 ( 3 ) : 301 – 20 .
  • Jennings , S. and Dunne , R. 1996 . A critical appraisal of the National Curriculum by comparison with the French experience . Teaching mathematics and its applications , 15 ( 2 ) : 49
  • Jonassen , D.H. 2003 . Designing research-based instruction for story problems . Educational Psychology Review , 15 ( 3 ) : 267 – 96 .
  • Kagan , D.M. 1992 . Professional growth among preservice and beginning teachers . Review of Educational Research , 62 ( 2 ) : 129
  • Kaiser , G. K. Hino , and C. Knipping . 2006 . Proposal for a framework to analyse mathematics education in Eastern and Western traditions . In Mathematics Education in Different Cultural Traditions – A Comparative Study of East Asia and the West , 319 – 51 .
  • Kapa , E. 2001 . A metacognitive support during the process of problem solving in a computerized environment . Educational Studies in Mathematics , 47 ( 3 ) : 317 – 36 .
  • Kelly , C.A. 2006 . Using manipulatives in mathematical problem solving: A performance-based analysis . The Montana Mathematics Enthusiast , 3 ( 2 ) : 184 – 93 .
  • Kvale , S. and Brinkmann , S. 2009 . InterViews: Learning the craft of qualitative research interviewing , London : Sage .
  • Lester , F.K. 1994 . Musings about mathematical problem-solving research: 1970–1994 . Journal for Research in Mathematics Education , 25 ( 6 ) : 660 – 75 .
  • Marton , F. 1981 . Phenomenography-describing conceptions in the world around us . Instructional science 10 , 2 : 177 – 200 .
  • Mason , J. L. Burton , and K. Stacey 1982 . Thinking mathematically . Addison-Wesley Boston , MA .
  • Muir , T. , Beswick , K. and Williamson , J. 2008 . “I'm not very good at solving problems”: An exploration of students’ problem solving behaviours . Journal of Mathematical Behavior , 27 ( 3 ) : 228 – 41 .
  • NCTM . 2000 . Principles and standards for school mathematics . Reston , VA : NCTM .
  • Nunokawa , K. 1994 . Improving diagrams gradually: One approach to using diagrams in problem solving . For the Learning of Mathematics , 14 ( 1 ) : 34 – 8 .
  • Nunokawa , K. 1995 . Problem solving as modelling: A case of augmented-quotient division problem . International Journal of Mathematical Education in Science and Technology , 26 ( 5 ) : 721 – 27 .
  • Nunokawa , K. 2005 . Mathematical problem solving and learning mathematics: What we expect students to obtain . The Journal of Mathematical Behavior , 24 ( 3–4 ) : 325 – 40 .
  • OECD 2001 . Knowledge and skills for life. First results from PISA 2000 . Paris : OECD .
  • OECD . 2004 . Learning for tomorrow's world. First results from PISA 2003 . Paris : OECD .
  • OECD 2007 . PISA 2006 Science competencies for tomorrow's world . 1 . Paris : OECD .
  • Op't Eynde , P. E. De Corte , and L. Verschaffel . 2003 . Framing students' mathematics-related beliefs . In Beliefs: A hidden variable in mathematics education? , G. Leder , E. Pehkonen and G. Törner , 13 – 37 . Springer Dordrecht .
  • Op't Eynde , P. , De Corte , E. and Verschaffel , L. 2006 . “Accepting emotional complexity”: A socio-constructivist perspective on the role of emotions in the mathematics classroom . Educational Studies in Mathematics , 63 ( 2 ) : 193 – 207 .
  • Polya , G. 1945 . How to solve it: A new aspect of mathematics , Princeton , NJ : Princeton University Press .
  • Santagata , R. 2004 . “Are you joking or are you sleeping?” Cultural beliefs and practices in Italian and US teachers’ mistake-handling strategies . Linguistics and Education , 15 ( 1–2 ) : 141 – 64 .
  • Schoenfeld , A.H. 1985 . Mathematical problem solving , Orlando , FL : Academic Press .
  • Schoenfeld , A.H. 1992 . Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics . Handbook of research on mathematics teaching and learning : 334 – 70 .
  • Schoenfeld , A.H. 2000 . Models of the teaching process . Journal of Mathematical Behavior , 18 ( 3 ) : 243 – 61 .
  • Schroeder , T.L. , and Lester FK . 1989 . Developing understanding in mathematics via problem solving . In New Directions for Elementary School Mathematics , 31 – 42 . Upper Saddle River Prentice Hall NJ .
  • Silver , E.A. , Ghousseini , H. , Gosen , D. , Charalambous , C. and Strawhun , B.T. 2005 . Moving from rhetoric to praxis: Issues faced by teachers in having students consider multiple solutions for problems in the mathematics classroom . The Journal of Mathematical Behavior , 24 ( 3–4 ) : 287 – 301 .
  • Skott , J. 2001 . The emerging practices of a novice teacher: The roles of his school mathematics images . Journal of Mathematics Teacher Education , 4 ( 1 ) : 3 – 28 .
  • Staub , F.C. and Stern , E. 2002 . The nature of teachers' pedagogical content beliefs matters for students' achievement gains: Quasi-experimental evidence from elementary mathematics . Journal of Educational Psychology , 94 ( 2 ) : 344 – 55 .
  • Strauss , A. and Corbin , J. 1998 . Basics of qualitative research: Techniques and procedures for developing grounded theory , London : SAGE Publications .
  • Swidler , S.A. 2000 . Contextual conflicts in educators' personal experience narratives . International Journal of Qualitative Studies in Education , 13 ( 5 ) : 553 – 68 .
  • Thompson , A.G. 1984 . The relationship of teachers' conceptions of mathematics and mathematics teaching to instructional practice . Educational Studies in Mathematics , 15 ( 2 ) : 105 – 27 .
  • Van den Heuvel-Panhuizen , M. 2003 . The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage . Educational Studies in Mathematics , 54 ( 1 ) : 9 – 35 .
  • Wilson , M. , and T. Cooney . 2003 . Mathematics teacher change and developments . In Beliefs: A hidden variable in mathematics education? , G. Leder , E. Pehkonen and G. Törner , 127 – 47 . Springer Dordrecht .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.