Spanning seven orders of magnitude: a challenge for cognitive modeling

Much of cognitive psychology focuses on effects measured in tens of milliseconds while significant educational outcomes take tens of hours to achieve. The task of bridging this gap is analyzed in terms of Newell’s (1990) bands of cognition—the Biological, Cognitive, Rational, and Social Bands. The 10 millisecond effects reside in his Biological Band while the significant learning outcomes reside in his Social Band. The paper assesses three theses: The Decomposition Thesis claims that learning occurring at the Social Band can be reduced to learning occurring at lower bands. The Relevance Thesis claims that instructional outcomes at the Social Band can be improved by paying attention to cognition at the lower bands. The Modeling Thesis claims that cognitive modeling provides a basis for bridging between events on the small scale and desired outcomes on the large scale. The unit-task level, at the boundary of the Cognitive and Rational Bands, is useful for assessing these theses. There is good evidence for all three theses in efforts that bridge from the unit-task level to educational applications. While there is evidence for the Decomposition Thesis all the way down to the 10 millisecond level, more work needs to be done to establish the Relevance Thesis and particularly the Modeling Thesis at the lower levels. © 2002 Cognitive Science Society, Inc. All rights reserved.

[1]  John R. Anderson,et al.  Cognitive Tutors: Lessons Learned , 1995 .

[2]  J. Berger Statistical Decision Theory and Bayesian Analysis , 1988 .

[3]  John R. Anderson,et al.  What role do cognitive architectures play in intelligent tutoring systems , 2001 .

[4]  G.W.M. Rauterberg HUMAN INTERACTION WITH COMPLEX SYSTEMS : Conceptual Principles and Design Practice by , 1995 .

[5]  Ann L. Brown,et al.  How people learn: Brain, mind, experience, and school. , 1999 .

[6]  John R. Anderson,et al.  Eye movements and algebra tutoring , 1999 .

[7]  Michael E. Atwood,et al.  Project Ernestine: Validating a GOMS Analysis for Predicting and Explaining Real-World Task Performance , 1993, Hum. Comput. Interact..

[8]  C. Lebiere,et al.  The Atomic Components of Thought , 1998 .

[9]  Albert T. Corbett,et al.  Instructional interventions in computer-based tutoring: differential impact on learning time and accuracy , 2000, CHI.

[10]  Kurt VanLehn,et al.  Student Modeling from Conversational Test Data: A Bayesian Approach Without Priors , 1998, Intelligent Tutoring Systems.

[11]  R. Nosofsky,et al.  A rule-plus-exception model for classifying objects in continuous-dimension spaces , 1998 .

[12]  John R. Anderson,et al.  Serial modules in parallel: the psychological refractory period and perfect time-sharing. , 2001, Psychological review.

[13]  John R. Anderson,et al.  Locus of feedback control in computer-based tutoring: impact on learning rate, achievement and attitudes , 2001, CHI.

[14]  Wayne Zachary,et al.  Interface Agents in Complex Systems , 1996 .

[15]  G. Miller,et al.  Cognitive science. , 1981, Science.

[16]  R. Atkinson Optimizing the Learning of a Second-Language Vocabulary. , 1972 .

[17]  R. Shiffrin,et al.  A retrieval model for both recognition and recall. , 1984, Psychological review.

[18]  R. Siegler Emerging Minds: The Process of Change in Children's Thinking , 1996 .

[19]  John R. Anderson,et al.  The role of practice in fact retrieval. , 1985 .

[20]  Albert T. Corbett,et al.  Cognitive Computer Tutors: Solving the Two-Sigma Problem , 2001, User Modeling.

[21]  Douglas L. Hintzman,et al.  Judgments of frequency and recognition memory in a multiple-trace memory model. , 1988 .

[22]  Richard Reviewer-Granger Unified Theories of Cognition , 1991, Journal of Cognitive Neuroscience.

[23]  Frank J. Lee,et al.  Does Learning a Complex Task Have to Be Complex?: A Study in Learning Decomposition , 2001, Cognitive Psychology.

[24]  Randolph M. Jones,et al.  Automated Intelligent Pilots for Combat Flight Simulation , 1998, AI Mag..

[25]  David E. Kieras,et al.  A computational theory of executive cognitive processes and multiple-task performance: Part 2. Accounts of psychological refractory-period phenomena. , 1997 .

[26]  Celestine A. Ntuen,et al.  Human Interaction with Complex Systems: Conceptual Principles and Design Practice , 1996 .

[27]  Arthur C. Graesser,et al.  AutoTutor: A simulation of a human tutor , 1999, Cognitive Systems Research.

[28]  John R. Anderson,et al.  The fan effect: New results and new theories. , 1999 .

[29]  Allen Newell,et al.  The psychology of human-computer interaction , 1983 .

[30]  James L. McClelland,et al.  Levels indeed! A response to Broadbent , 1985 .

[31]  Janis A. Cannon-Bowers,et al.  An Advanced Embedded Training Systems (AETS) for Tactical Team Training , 1998, Intelligent Tutoring Systems.

[32]  D E Kieras,et al.  A computational theory of executive cognitive processes and multiple-task performance: Part 1. Basic mechanisms. , 1997, Psychological review.

[33]  최영한,et al.  미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론 , 2002 .

[34]  L. Shepard Psychometricians’ Beliefs About Learning , 1991 .

[35]  C. Hirsch Curriculum and Evaluation Standards for School Mathematics , 1988 .

[36]  John R. Anderson,et al.  Skill Acquisition and the LISP Tutor , 1989, Cogn. Sci..

[37]  John R. Anderson Retrieval of propositional information from long-term memory , 1974 .

[38]  G. Logan Toward an instance theory of automatization. , 1988 .

[39]  Richard W. Pew,et al.  Modeling human and organizational behavior : application to military simulations , 1998 .

[40]  Christian Lebiere,et al.  The dynamics of cognition: An ACT-R model of cognitive arithmetic , 1999, Kognitionswissenschaft.

[41]  B. Bloom The 2 Sigma Problem: The Search for Methods of Group Instruction as Effective as One-to-One Tutoring , 1984 .

[42]  Albert T. Corbett,et al.  Plan Scaffolding: Impact on the Process and Product of Learning , 1996, Intelligent Tutoring Systems.

[43]  John R. Anderson,et al.  Mapping eye movements to cognitive processes , 1999 .

[44]  B B Murdock,et al.  TODAM2: a model for the storage and retrieval of item, associative, and serial-order information. , 1993, Psychological review.