295
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

The Impact of Context on Children's Performance in Solving Everyday Mathematical Problems With Real-World Settings

Pages 278-292 | Published online: 03 Nov 2009

References

  • Bassok , M. and Holyoak , K. J. 1989 . Interdomain transfer between isomorphic topics in algebra and physics . Journal of Experimental Psychology: Learning, Memory, and Cognition , 15 ( 1 ) : 153 – 166 .
  • Battista , M. T. , Clements , D. H. , Arnoff , J. , Battista , K. and Borrow , C. V. A. 1998 . Students' spatial structuring of 2D arrays of squares . Journal for Research in Mathematics Education , 29 : 503 – 532 .
  • Beishuizen , M. , Gravemeijer , K. P. E. and van Lieshout , E. C. D. M. 1997 . The role of contexts and models in the development of mathematical strategies and procedures. Utrecht, , Netherlands : Freudenthal Institute. .
  • Bell , A. , Swan , M. and Taylor , G. 1981 . Choice of operation in verbal problems with decimal numbers . Educational Studies in Mathematics , 12 : 399 – 420 .
  • Bernardo , A. B. I. 1994 . Problem-specific information and the development of problem-type schemata . Journal of Experimental Psychology: Learning, Memory, and Cognition , 20 ( 2 ) : 379 – 395 .
  • Brenner , M. E. 1998a . Meaning and money . Educational Studies in Mathematics , 36 : 123 – 155 .
  • Brenner , M. E. 1998b . Adding cognition to the formula for culturally relevant instruction in mathematics . Anthropology & Education Quarterly , 29 ( 2 ) : 214 – 244 .
  • Caldwell , J. H. 1984 . “ Syntax, content, and context variable in instruction. ” . In Task variables in mathematical problem solving Edited by: Goldin , G. A. and McClintock , C. E. 379 – 413 . Philadelphia : The Franklin Institute Press. .
  • Chi , M. T. H. , Feltovich , P. and Glaser , R. 1981 . Categorization and representation of physics problems by experts and novices . Cognitive Science , 5 : 121 – 152 .
  • Collis , K. F. 1975 . Concrete and formal operations in school mathematics. Melbourne, , Australia : Australian Council for Educational Research. .
  • Donnelly , C. M. and McDaniel , M. A. 1993 . Use of analogy in learning scientific concepts . Journal of Experimental Psychology: Learning, Memory, and Cognition , 19 ( 4 ) : 975 – 987 .
  • Fischbein , E. 1999 . Intuitions and schemata in mathematical reasoning . Educational Studies in Mathematics , 38 : 11 – 50 .
  • Franke , M. and Ruwisch , S. 2000 . Adollhouse as a situational context for multiplicative reasoning . New England Mathematics Journal , : 18 – 28 . November
  • Gentner , D. 1989 . “ The mechanisms of analogical reasoning. ” . In Similarity and analogical reasoning Edited by: Vosniadou , S. and Ortony , A. 197 – 241 . Cambridge, , UK : Cambridge University Press. .
  • Gick , M. L. and Holyoak , K. J. 1983 . Schema induction and analogical transfer . Cognitive Psychology , 15 : 1 – 38 .
  • Gravemeijer , K. P. E. 1994 . Developing realistic mathematics education. Utrecht, , Netherlands : Freudenthal Institute. .
  • Hembree , R. 1992 . Experiments and relational studies in problem solving: A meta-analysis . Journal for Research in Mathematics Education , 23 ( 3 ) : 242 – 273 .
  • Huang , H. M. E. 2003 . A study of the influence of verbal interaction and real-world settings in children's problem-solving . Bulletin of Educational Research , 49 ( 1 ) : 95 – 133 . (In Chinese)
  • Kulm , G. 1984 . “ The classification of problem-solving research variables. ” . In Task variables in mathematical problem solving Edited by: Goldin , G. A. and McClintock , C. E. 1 – 21 . Philadelphia : The Franklin Institute Press. .
  • Lave , J. 1988 . Cognition in practice: Mind, mathematics and cultural in everyday life. New York : Cambridge University Press. .
  • Medin , D. L. , Goldstone , R. L. and Gentner , D. 1993 . Respect for similarity . Psychological Review , 100 : 254 – 278 .
  • Outhred , L. N. and Mitchelmore , M. C. 2000 . Young children's intuitive understanding of rectangular area measurement . Journal for Research in Mathematics Education , 31 ( 2 ) : 144 – 167 .
  • Reder , L. M. 1987 . Strategy selection in question answering . Cognitive Psychology , 19 : 90 – 137 .
  • Reder , L. M. and Ritter , F. E. 1992 . What determines initial feeling of knowing? Familiarity with question terms, not with the answer . Journal of Experimental Psychology: Learning, Memory, and Cognition , 18 ( 3 ) : 435 – 451 .
  • Resnick , L. B. 1989 . Knowing, learning, and instruction. Essays in honor of Robert Glaser. Hillsdale, NJ : Lawrence Erlbaum Associates. .
  • Rogoff , B. and Lave , J. 1984 . Everyday cognition: Its development in social context. Cambridge, MA : Harvard University Press. .
  • Ruwisch , S. 1998 . “Doll's house” as a multiplicative real-world situation. Primary school children's problem-solving strategies and action patterns. ” . In Proceedings of the first international commission on mathematical instruction East Asia regional conference on mathematics education Edited by: Park , H. S. , Choe , Y. H. , Shin , H. and Kim , S. H. Vol. 2 , 459 – 473 . Chungbuk : South Korea. .
  • Smith , L. B. 1989 . A model of perceptual classification in children and adults . Psychological Review , 96 ( 1 ) : 125 – 144 .
  • Staszewski , J. J. 1988 . “ Skilled memory and expert mental calculation. ” . In The nature of expertise Edited by: Chi , M. T. H. , Glaser , R. and Farr , M. J. 77 – 128 . Hillsdale, NJ : Lawrence Erlbaum Associates. .
  • Stern , E. 1997 . “ Early training: Who, what, when, why, and how? ” . In The role of contexts and models in the development of mathematical strategies and procedures Edited by: Beishuizen , M. , Gravemeijer , K. P. E. and van Lieshout , E. C. D. M. 239 – 253 . Utrecht, , Netherlands : Freudenthal Institute. .
  • Sweller , J. 1989 . Cognitive technology: Some procedures for facilitating learning and problem solving in mathematics and science . Journal of Educational Psychology , 81 ( 4 ) : 457 – 466 .
  • Webb , N. 1984 . “ Content and context variable in problem tasks. ” . In Task variables in mathematical problem solving Edited by: Goldin , G. A. and McClintock , C. E. 69 – 102 . Philadelphia : The Franklin Institute Press. .

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.