CHILDREN'S EXPERIENCES OF MATHEMATICS

References

• Abreu , G. de. 1995 , ‘Understanding how children experience the relationship between home and school mathematics,’ Mind, Culture and Activity 2 , 119 – 142 .
   Google Scholar
• Ainley , J. 1997 . “ Australia ” . In National Contexts For Mathematics and Science Education: An Encyclopaedia of the Education Systems Participating in TIMMS , Edited by: Robitaille , D. 39 – 49 . Vancouver, BC : Pacific Educational Press .
   Google Scholar
• Andrews , P. 1998 . ‘Peddling the myth’ . Mathematics in Schools , 27 ( 2 ) : 2 – 4 .
   Google Scholar
• Askew , M. and Wiliam , D. 1995 . Ofsted Reviews of Research: Recent Research in Mathematics Education , London : HMSO .
   Google Scholar
• Bereiter , C. 1990 . ‘Aspects of an educational learning theory’ . Review of Educational Research , 60 : 603 – 624 .
   Web of Science ®Google Scholar
• Boaler , J. 2002 . ‘The development of disciplinary relationships: knowledge, practice and identity in mathematics classrooms’ . For the Learning of Mathematics , 22 : 42 – 47 .
   Google Scholar
• Bruner , J. 1986 . Actual Minds, Possible Worlds , Cambridge, MA : Harvard University Press .
   Google Scholar
• Carraher , D. , Carraher , T. and Schliemann , A. 1985 . ‘Mathematics in the streets and in schools’ . British Journal of Developmental Psychology , 3 : 21 – 29 .
   Web of Science ®Google Scholar
• Chi , M. , Feltovich , P. and Glaser , R. 1981 . ‘Categorisation and representation of physics problems by experts and novices’ . Cognitive Science , 5 : 121 – 152 .
   Web of Science ®Google Scholar
• Cobb , P. , Yackel , E. and Wood , T. 1992 . ‘A constructivist alternative to the representational view of mind in mathematics education’ . Journal for Research in Mathematics Education , 23 : 2 – 33 .
   Web of Science ®Google Scholar
• Cole , M. , Gray , J. , Glick , J. and Sharp , D. 1971 . The Cultural Context of Learning and Thinking: An Exploration in Experimental Anthropology , New York, NY : Basic Books .
   Google Scholar
• Cotton , T. 1993 . ‘Children's impressions of mathematics’ . Mathematics Teaching , 143 : 14 – 17 .
   Google Scholar
• Decorte , E. , Verschaffel , L. and Van Coillie , V. 1988 . Influence of number size, problem structure and response mode on children's solutions of multiplication word problems’ . Journal of Mathematical Behaviour , 7 : 197 – 216 .
   Google Scholar
• Desforges , C. and Cockburn , A. 1987 . Understanding the Mathematics Teacher , London : Falmer .
   Google Scholar
• DFEE 1997 , Excellence in Schools , HMSO , London .
   Google Scholar
• DFEE 1999a , The National Curriculum: Handbook for Primary Teachers in England , DFEE/QCA , London .
   Google Scholar
• DFEE 1999b , The National Numeracy Strategy: Framework for Teaching Mathematics from Reception to Year 6 , DFEE Publications , Sudbury .
   Google Scholar
• Dweck , C. 1986 . ‘Motivational processes affecting learning’ . American Psychologist , 41 : 1040 – 1048 .
   Web of Science ®Google Scholar
• Eccles , J. , Wigfield , A. , Midgley , C. , Reuman , D. , Maciver , D. and Feldlaufer , H. 1993 . ‘Negative effects of traditional middle schools on students’ motivation’ . Elementary School Journal , 93 : 552 – 574 .
   Google Scholar
• Ellerton , N. and Clements , M. 1989 , School Mathematics: The Challenge to Change , Deakin University Press , Victoria .
   Google Scholar
• Frank , M. 1988 . ‘Problem solving and mathematical belief’ . Arithmetic Teacher , 35 : 32 – 34 .
   Google Scholar
• Gibbs , G. , Morgan , A. and Taylor , E. 1982 . ‘A review of the research of Ference Marton and the Göteborg group: a phenomenological research perspective on learning’ . Higher Education , 11 : 123 – 145 .
   Web of Science ®Google Scholar
• Glaser , B. and Strauss , A. 1967 . The Discovery of Grounded Theory: Strategies for Qualitative Research , New York, NY : Aldine .
   Google Scholar
• Halpern , D. 1992 , Enhancing Thinking Skills in the Sciences and Mathematics , Lawrence Erlbaum , Hillsdale, NJ .
   Google Scholar
• Hasselgren , B. and Beach , D. 1998 , ‘Phenomenography: a “good-for-nothing brother” of phenomenography?’ Report from the Department of Education and Educational Research , Göteborg University , Göteborg .
   Google Scholar
• Kelly , P. 2002 , ‘Validity and discursive phenomenography’ , Paper presented at the BERA Annual Conference , Exeter .
   Google Scholar
• Kloosterman , P. , Raymond , A. and Emenaker , C. 1996 . ‘Students’ beliefs about mathematics: a three year study’ . Elementary School Journal , 97 : 39 – 56 .
   Web of Science ®Google Scholar
• Kouba , V. and Mcdonald , J. 1991 . ‘What is mathematics to children?’ . Journal of Mathematics Behaviour , 10 : 105 – 113 .
   Web of Science ®Google Scholar
• Larkin , J. , Mcdermott , J. , Simon , D. and Simon , H. 1980 . ‘Expert and novice performance in solving physics problems’ . Science , 208 : 1335 – 1342 .
   PubMed Web of Science ®Google Scholar
• Lave , J. 1988 . Cognition in Practice: Mind, Mathematics and Culture in Everyday Life , Cambridge : Cambridge University Press .
   Google Scholar
• Lester , F. , Garofalo , J. and Kroll , D. 1988 , ‘The role of metacognition in mathematical problem solving: a study of two grade seven classes’ , Final Report to the National Science Foundation , NSF Project No. MDR 85-50346 .
   Google Scholar
• Marton , F. 1981 . ‘Phenomenography: describing conceptions of the world around us’ . Instructional Science , 10 : 177 – 200 .
   Web of Science ®Google Scholar
• Marton , F. , Dall'alba , G. and Beaty , E. 1993 . ‘Conceptions of learning’ . International Journal of Educational Research , 19 : 277 – 300 .
   Google Scholar
• Marton , F. , Hounsell , D. and Entwistle , N. 1997 , The Experience of Learning , Scottish Academic Press , Edinburgh .
   Google Scholar
• NCEST 1992 , Projections of Educational Statistics to 2001: An Update , Government Printing Office , Washington, DC .
   Google Scholar
• NCTM 1999 , Principles and Standards for School Mathematics , NCTM , Reston, VA .
   Google Scholar
• Nunes , T. , Schliemann , A. and Carraher , D. 1993 . Street Mathematics and School Mathematics , Cambridge : Cambridge University Press .
   Google Scholar
• OFSTED 1991 , Mathematics: Key Stages 1, 2 and 3: First Year 1989–90 , HMSO , London .
   Google Scholar
• OFSTED 1992 , Mathematics: Key Stages 1, 2 and 3: Second Year 1990–91 , HMSO , London .
   Google Scholar
• OFSTED 1993 , Mathematics: Key Stages 1, 2 and 3: Third Year 1991–92 , HMSO , London .
   Google Scholar
• OFSTED 1999 , Primary Education 1994–98: A Review of Primary Schools in England HMSO , London .
   Google Scholar
• Pramling , I. 1983 . The Child's Conception of Learning , Göteborg : Acta Universitatis Gothoburgensis .
   Google Scholar
• Pramling , I. 1986 . Barn och Inlarning , Lund : Student-Litteratur .
   Google Scholar
• Prosser , M. and Miller , R. 1989 . ‘The ‘how’ and ‘why’ of learning physics’ . European Journal of the Psychology of Education , 4 : 513 – 528 .
   Google Scholar
• Ramsden , P. , Masters , G. , Stephanou , A. , Walsh , E. , Martin , E. , Laurillard , D. and Marton , F. 1993 . ‘Phenomenographic research and the measurement of understanding: an investigation of students’ conceptions of speed, distance and time’ . International Journal of Educational Research , 19 : 301 – 324 .
   Google Scholar
• Robitaille , D. and Taylor , A. 1997 . “ ‘Cross national similarities and differences’ ” . In National Contexts for Mathematics and Science Education: An Encyclopaedia of the Education Systems Participating in TIMMS , Edited by: Robitaille , D. 34 Vancouver, BC : Pacific Educational Press .
   Google Scholar
• Saljö , R. and Wyndhamn , J. 1990 . ‘Problem solving, academic performance and situated reasoning: a study of joint cognitive activity in the formal setting’ . British Journal of Educational Psychology , 60 : 245 – 254 .
   Web of Science ®Google Scholar
• Saxe , G. 1988 . ‘Candy selling and maths learning’ . Educational Researcher , 17 : 14 – 21 .
   Google Scholar
• Schoenfield , A. 1985 . Mathematical Problem Solving , New York, NY : Academic Press .
   Google Scholar
• Schunk , D. 1991 . ‘Self-efficacy and academic motivation’ . Educational Psychologist , 26 : 207 – 231 .
   Web of Science ®Google Scholar
• Stipek , D. 1993 . Motivation to Learn: From Theory to Practice , Boston, MA : Allyn and Bacon .
   Google Scholar
• Verschaffel , L. , Decorte , E. , Lasure , S. , Van Vaerenbergh , G. , Bogaerts , H. and Ratinckx , E. 1999 . ‘Learning to solve mathematical application problems’ . Mathematical Thinking and Learning , 1 : 195 – 229 .
   Google Scholar