Why Are Algebra Word Problems Difficult? Using Tutorial Log Files and the Power Law of Learning to Select the Best Fitting Cognitive Model

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3220, Issue , 2004, Pages 240-250

  Croteau, Ethan A ^a   Heffernan, Neil T ^a   Koedinger, Kenneth R ^b  

^a Worcester Polytechnic Institute   (United States)

^b Carnegie Mellon University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED INSTRUCTION; EDUCATION COMPUTING; FUNCTIONS; INTELLIGENT VEHICLE HIGHWAY SYSTEMS; STUDENTS;

COGNITIVE MODEL; ERROR RATE; INTELLIGENT TUTORING SYSTEM; LOG FILE; POWER FUNCTIONS; POWER-LAW; WORD PROBLEM;

ALGEBRA;

EID: 35048858854     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30139-4_23     Document Type: Article

References (17)

1. Anderson, J. R., & Lebiere, C. (1998). The Atomic Components of Thought. Lawrence Erlbaum Associates, Mahwah, NJ.
2. th Annual ACT-R Workshop.
3. Corbett, A. T. and Anderson, J. A. (1992) Knowledge tracing in the ACT programming tutor. In: Proceedings of 14-th Annual Conference of the Cognitive Science Society.
4. Corbett, A. T., Anderson, J. R., & O'Brien, A. T. (1995) Student modeling in the ACT programming tutor. Chapter 2 in P. Nichols, S. Chipman, & R. Brennan, Cognitively Diagnostic Assessment. Hillsdale, NJ: Erlbaum.
5. Draney, K. L., Pirolli, P., & Wilson, M. (1995). A measurement model for a complex cognitive skill. In P. Nichols, S. Chipman, & R. Brennan, Cognitively Diagnostic Assessment. Hillsdale, NJ: Erlbaum.
6. Embretson, S. E. & Reise, S. P. (2000) Item Response Theory for Psychologists Lawrence Erlbaum Assoc.
7. Heffernan, N. T. (2001). Intelligent Tutoring Systems have Forgotten the Tutor: Adding a Cognitive Model of an Experienced Human Tutor. Dissertation & Technical Report. Carnegie Mellon University, Computer Science, http:://www.algebratutor.org/pubs.html.
8. Heffernan, N. T. (2003) Web-Based Evaluations Showing both Cognitive and Motivational Benefits of the Ms. Lindquist Tutor 11th International Conference Artificial Intelligence in Education. Syndey. Australia.
9. Heffernan, N. T., & Koedinger, K. R.(1997) The composition effect in symbolizing: the role of symbol production versus text comprehension. In Proceeding of the Nineteenth Annual Conference of the Cognitive Science Society (pp. 307-312). Hillsdale, NJ: Lawrence Erlbaum Associates.
10. Heffernan, N. T., & Koedinger, K. R. (1998) A developmental model for algebra symbolization: The results of a difficulty factors assessment. Proceedings of the Twentieth Annual Conference of the Cognitive Science Society, (pp. 484-489) Hillsdale, NJ: Lawrence Erlbaum Associates.
11. Junker, B., Koedinger, K. R., & Trottini, M. (2000). Finding improvements in student models for intelligent tutoring systems via variable selection for a linear logistic test model. Presented at the Annual North American Meeting of the Psychometric Society, Vancouver, BC, Canada, http:://lib.stat.cmu.edu/~brian/bjtrs.html
12. Koedinger, K. R. & Junker, B. (1999). Learning Factors Analysis: Mining student-tutor interactions to optimize instruction. Presented at Social Science Data Infrastructure Conference. New York University. November, 12-13,1999.
13. Koedinger, K.R., & MacLaren, B. A. (2002). Developing a pedagogical domain theory of early algebra problem solving. CMU-HCII Tech Report 02-100. Accessible via http:://reports-archive.adm.cs.cmu.edu/hcii.html.
14. Nathan, M. J., Kintsch, W. & Young, E. (1992). A theory of algebra-word-problem comprehension and its implications for the design of learning environments. Cognition & Instruction 9(4): 329-389.
15. Nathan, M. J., & Koedinger, K. R. (2000). Teachers' and researchers' beliefs about the development of algebraic reasoning. Journal for Research in Mathematics Education, 31, 168-190.
16. Newell, A., & Rosenbloom, P. (1981) Mechanisms of skill acquisition and the law of practice. In Anderson (ed.), Cognitive Skills and Their Acquisition., Hillsdale, NJ: Erlbaum.
17. Raftery, A.E. (1995) Bayesian model selection in social research. Sociological Methodology (Peter V. Marsden, ed.), Cambridge, Mass.: Blackwells, pp. 111-196.