Erroneous Examples Versus Problem Solving: Can We Improve How Middle School Students Learn Decimals?

Building Bridges Across Cognitive Sciences Around the World - Proceedings of the 34th Annual Meeting of the Cognitive Science Society, CogSci 2012

Volumn , Issue , 2012, Pages 1260-1265

  Adams, Deanne ^a   McLaren, Bruce M ^b   Durkin, Kelley ^c   Mayer, Richard E ^a   Rittle Johnson, Bethany ^c   Isotani, Seiji ^d   van Velsen, Martin ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Carnegie Mellon University ^*  (United States)

^c VANDERBILT UNIVERSITY   (United States)

^d UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

computer based tutors; erroneous examples; math learning

Indexed keywords

COMPUTER AIDED INSTRUCTION; E-LEARNING; EDUCATION COMPUTING;

'CURRENT; COGNITIVE LOADS; COMPUTER-BASED TUTOR; EFFECTIVE TOOL; ERRONEOUS EXAMPLE; LEARN+; MATH LEARNING; MIDDLE SCHOOL STUDENTS; PROBLEM-SOLVING; WORKED EXAMPLES;

STUDENTS;

EID: 84903708075     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. Aleven, V., McLaren, B.M., Sewall, J., & Koedinger, K.R. (2009). A new paradigm for intelligent tutoring systems: Example-tracing tutors. International Journal of Artificial Intelligence in Education, 19(2), 105-154.
2. Chi, M.T.H., Bassok, M., Lewis, M.W., & Reimann, R. & Glaser, R. (1989). Self explanations: How students study and used examples in learning to solve problems. Cognitive Science, 13, 145-182.
3. Cooper, G., & Sweller, J. (1987). The effects of schema acquisition and rule automation on mathematical problem-solving transfer. Journal of Educational Psychology, 79, 347-362.
4. Grosse, C.S. & Renkl, A. (2007). Finding and fixing errors in worked examples: Can this foster learning outcomes? Learning and Instruction, 17(6), 612-634.
5. Hausmann, R.G.H. & Chi, M.T.H. (2002). Can a computer interface support self-explaining? Cognitive Technology, 7(1),4–14.
6. Isotani, S., Adams, D., Mayer, R.E., Durkin, K., Rittle-Johnson, B., & McLaren, B.M. (2011). Can erroneous examples help middle-school students learn decimals? In: Proceedings of the Sixth European Conference on Technology Enhanced Learning: Towards Ubiquitous Learning (EC-TEL-2011).
7. Johnson, C.I. & Mayer, R.E. (2010). Applying the self-explanation principle to multimedia learning in a computer-based game-like environment. Computers in Human Behavior, 26, 1246-1252.
8. Kawasaki, M. (2010. Learning to solve mathematics problems: The impact of incorrect solutions in fifth grade peers’ presentations. Japanese Journal of Developmental Psychology, 21 (1), 12-22.
9. nd ed). New York: Cambridge University Press.
10. McLaren, B.M., Lim, S., & Koedinger, K.R. (2008). When and how often should worked examples be given to students? New results and a summary of the current state of research. In B. C. Love, K. McRae, & V. M. Sloutsky (Eds.), Proceedings of the 30th Annual Conference of the Cognitive Science Society,. Austin, TX: Cognitive Science Society.
11. Moreno, R., & Park, B. (2010). Cognitive load theory: Historical development and relation to other theories. In. J.L. Plass, R. Moreno, & R. Brünken (Eds.), Cognitive Load Theory, Cambridge: Cambridge University Press.
12. Reiss, K., Hellmich, F., & Thomas, J. (2002). Individual and scholastic factors for argumentations and proofs in mathematics instruction]. In M. Prenzel, & J. Doll (Eds.), Bildungsqualitä t von Schule: Schulische und außerschulische Bedingungen mathematischer, naturwissenschaftlicher und überfachlicher Kompetenzen. Zeitschrift für Pädagogik (45. Beiheft)
13. Renkl, A. (1997). Learning from worked-out examples: A study on individual differences. Cognitive Science, 21, 1-29.
14. Renkl, A. (2005). The worked-out examples principle in multimedia learning. In R. E. Mayer (Ed.), The Cambridge handbook of multimedia learning. New York: Cambridge University Press.
15. Renkl, A. (2010). Instruction based on examples. In R. E. Mayer & P. A. Alexander (Eds.), Handbook of research on learning and instruction. New York: Routledge.
16. Renkl, A., & Atkinson. R.K. (2010). Learning from worked-out examples and problem solving. In. J.L. Plass, R. Moreno, & R. Brünken (Eds.), Cognitive Load Theory,, Cambridge: Cambridge University Press.
17. Tsovaltzi, D., Melis, E., McLaren, B.M., Meyer, A-K., Dietrich, M. & Goguadze, G. (2010). G. Learning from erroneous examples: When and how do students benefit from them? In Proceedings of the European Conference on Technology Enhanced Learning, LNCS vol. 6383,. Springer, Heidelberg.
18. Zhu, X., and H.A. Simon. 1987. Learning mathematics from examples and by doing. Cognition and Instruction 4 (3),137–66.