Designing Instructional Examples to Reduce Intrinsic Cognitive Load: Molar versus Modular Presentation of Solution Procedures

It is usually assumed that successful problemsolving in knowledge-rich domains depends onthe availability of abstract problem-typeschemas whose acquisition can be supported bypresenting students with worked examples.Conventionally designed worked examples oftenfocus on information that is related to themain components of problem-type schemas, namelyon information related to problem-categorymembership, structural task features, andcategory-specific solution procedures. However,studying these examples might be cognitivelydemanding because it requires learners tosimultaneously hold active a substantial amountof information in working memory. In ourresearch, we try to reduce intrinsic cognitiveload in example-based learning by shifting thelevel of presenting and explaining solutionprocedures from a `molar' view – that focuseson problem categories and their associatedoverall solution procedures – to a more`modular' view where complex solutions arebroken down into smaller meaningful solutionelements that can be conveyed separately. Wereview findings from five of our own studiesthat yield evidence for the fact thatprocessing modular examples is associated witha lower degree of intrinsic cognitive load andthus, improves learning.

[1]  K. VanLehn,et al.  Cognitive skill acquisition. , 1996, Annual review of psychology.

[2]  Richard E. Mayer,et al.  Frequency norms and structural analysis of algebra story problems into families, categories, and templates , 1981 .

[3]  Stephen K. Reed,et al.  A schema-based theory of transfer. , 1996 .

[4]  A. Renkl Learning mathematics from worked-out examples: Analyzing and fostering self-explanations , 1999 .

[5]  J. LeFevre,et al.  Do Written Instructions Need Examples , 1986 .

[6]  D. Cummins Role of analogical reasoning in the induction of problem categories. , 1992 .

[7]  Katharina Scheiter,et al.  Resource-adaptive Selection of Strategies in Learning from Worked-Out Examples , 2000 .

[8]  K. Holyoak,et al.  Overcoming contextual limitations on problem-solving transfer. , 1989 .

[9]  R. Catrambone Improving examples to improve transfer to novel problems , 1994, Memory & cognition.

[10]  R. Atkinson,et al.  Structuring the Transition From Example Study to Problem Solving in Cognitive Skill Acquisition: A Cognitive Load Perspective , 2003 .

[11]  Katharina Scheiter,et al.  Goal Configurations and Processing Strategies as Moderators Between Instructional Design and Cognitive Load: Evidence From Hypertext-Based Instruction , 2003 .

[12]  Jane Qiu,et al.  Word problems , 2005, Nature Reviews Neuroscience.

[13]  R. Catrambone The subgoal learning model: Creating better examples so that students can solve novel problems. , 1998 .

[14]  B. Ross Distinguishing Types of Superficial Similarities: Different Effects on the Access and Use of Earlier Problems , 1989 .

[15]  S. Hart,et al.  Development of NASA-TLX (Task Load Index): Results of Empirical and Theoretical Research , 1988 .

[16]  Jill L. Quilici,et al.  Role of examples in how students learn to categorize statistics word problems. , 1996 .

[17]  S. Derry,et al.  Learning from Examples: Instructional Principles from the Worked Examples Research , 2000 .

[18]  F. Paas,et al.  Variability of Worked Examples and Transfer of Geometrical Problem-Solving Skills: A Cognitive-Load Approach , 1994 .

[19]  J. Sweller COGNITIVE LOAD THEORY, LEARNING DIFFICULTY, AND INSTRUCTIONAL DESIGN , 1994 .

[20]  P. Kirschner,et al.  Taking the Load Off a Learner's Mind: Instructional Design for Complex Learning , 2003 .

[21]  Michelene T. H. Chi,et al.  Eliciting Self-Explanations Improves Understanding , 1994, Cogn. Sci..

[22]  Vivienne B. Carr,et al.  The acquisition of knowledge. , 1996, American journal of orthopedics.

[23]  J. Sweller,et al.  The Use of Worked Examples as a Substitute for Problem Solving in Learning Algebra , 1985 .

[24]  A. Renkl Worked-out examples: instructional explanations support learning by self- explanations , 2002 .

[25]  Margaret M. Recker,et al.  Learning Strategies and Transfer in the Domain of Programming , 1994 .

[26]  Katharina Scheiter,et al.  Supporting Learning fromWorked-Out Examples in Computer-Based Learning Environments , 2003 .

[27]  K. VanLehn Problem solving and cognitive skill acquisition , 1989 .

[28]  F. Paas,et al.  Cognitive Architecture and Instructional Design , 1998 .

[29]  S. Derry Strategy and Expertise in Solving Word Problems , 1989 .

[30]  Richard Catrambone,et al.  Aiding Transfer in Statistics: Examining the Use of Conceptually Oriented Equations and Elaborations during Subgoal Learning. , 2003 .

[31]  Edward A. Silver,et al.  Many Voices, Many Views , 1985, Journal for Research in Mathematics Education.

[32]  Alexander Renkl,et al.  Learning from Worked-Out-Examples: A Study on Individual Differences , 1997, Cogn. Sci..

[33]  Jeroen J. G. van Merriënboer,et al.  Strategies for Programming Instruction in High School: Program Completion vs. Program Generation , 1990 .

[34]  KIMBERLY A. LAWLESS,et al.  Multimedia learning environments: Issues of learner control and navigation , 1997 .

[35]  Stephen K. Reed,et al.  Usefulness of analogous solutions for solving algebra word problems , 1985 .

[36]  D. Dellarosa Role of analogical reasoning in the induction of problem categories. , 1992 .

[37]  K. Holyoak,et al.  Schema induction and analogical transfer , 1983, Cognitive Psychology.

[38]  Matthew W. Lewis,et al.  Self-Explonations: How Students Study and Use Examples in Learning to Solve Problems , 1989, Cogn. Sci..