The Whole Number Bias in Fraction Magnitude Comparisons with Adults

Expanding the Space of Cognitive Science - Proceedings of the 33rd Annual Meeting of the Cognitive Science Society, CogSci 2011

Volumn , Issue , 2011, Pages 1751-1756

  DeWolf, Melissa ^a   Vosniadou, Stella ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF ATHENS   (Greece)

Author keywords

conceptual change; fractions; mathematical development; whole number bias

Indexed keywords

'CURRENT; CONCEPTUAL CHANGE; CONDITION; FRACTION; MATHEMATICAL DEVELOPMENT; NATURAL NUMBER; WHOLE NUMBER BIAS; WHOLE NUMBERS;

EID: 85139490904     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. Bonato, M., Fabbri, S., Umiltà, C., & Zorzi, M. (2007). The mental representation of numerical fractions: Real or integer? Journal of Experimental Psychology: Human Perception and Performance, 33, 1410-1419.
2. Christou, K. P., Vosniadou, S., (in press) Transitioning from arithmetic to algebra: Interpreting literal symbols as representing natural numbers. Mathematical Thinking and Learning
3. Dunbar, K., Fugelsang, J., & Stein, C. (2007). Do naïve theories ever go away? In M. Lovett, & P. Shah (Eds.), Thinking with Data: 33rd Carnegie Symposium on Cognition. Mahwah, NJ: Erlbaum.
4. Gelman, R., & Williams, E. M. (1998). Enabling constraints for cognitive development and learning: Domain-specificity and epigenesis. In D. Kuhl & R. S. Siegler (Vol. Eds.), Cognition, perception, and language, Vol 2 (pp. 575-630). W. Damon (Gen. Ed.), Handbook of child psychology (Fifth Ed.). New York: John Wiley & Sons.
5. Inagaki, K. & Hatano, G. (2008). Conceptual Change in Naïve Biolgy, In S. Vosniadou (Ed.). International Handbook of Research on Conceptual Change. New York: Routledge.
6. Mazzocco, M.M.M., & Devlin, K.T. (2008). Parts and holes: Gaps in rational number sense in children with vs. without mathematical learning disability. Developmental Science. 11:5, 681-691
7. National Council of Teachers of Mathematics (2007) Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics
8. Ni, Y., & Zhou, Y-D. (2005). Teaching and learning fraction and rational numbers: The origins and implications of whole number bias. Educational Psychologist, 40(1), 27–52.
9. Schneider, M., & Siegler, R. S. (2010). Representations of the magnitudes of fractions. Journal of Experimental Psychology: Human Perception and Performance, 36, 1227-1238.
10. Smith, C. L., Solomon, G. E. A., & Carey, S. (2005). Never getting to zero: Elementary school students’ understanding of the infinite divisibility of number and matter. Cognitive Psychology, 51, 101–140.
11. Stafylidou, S., & Vosniadou, S. (2004). The development of student’s understanding of numerical value of fractions. Learning and Instruction, 14, 503-518.
12. Vamvakoussi, X. & Vosniadou, S. (2007). How Many Numbers are there in a Rational Numbers Interval? Constrains, Synthetic Models and the Effect of the Number Line. In S. Vosniadou, A. Baltas, & X. Vamvakoussi (Eds.) Reframing the Conceptual Change Approach in Learning and Instruction (pp. 265-282). The Netherlands: Elsevier.
13. Vamvakoussi, X., & Vosniadou, S. (2010). Understanding the structure of the set of rational numbers: A conceptual change approach. Learning and Instruction, 14, 453-467.
14. Vosniadou, S., (2007). The cognitive-situative divide and the problem of conceptual change, Educational Psychologist, 42(1), 55-66.
15. Vosniadou, S., Vamvakoussi, X., & Skopeliti, I. (2008). The Framework Theory Approach to the Problem of Conceptual Change, In S. Vosniadou (Ed.). International Handbook of Research on Conceptual Change. New York: Routledge.
16. Vosniadou, S. & Verschaffel, L. (2004) Extending the Conceptual Change Approach to Mathematics Learning and Teaching. In L., Verschaffel and S. Vosniadou (Guest Editors), Conceptual Change in Mathematics Learning and Teaching, Special Issue of Learning and Instruction, 14, 5, 445-451