The DOI matches its Crossref record; 55 of the 55 references it cites were found in a registry or an index.
Guidance during mathematical problem solving.
Open accessAbstract
Experiments using circle geometry problems were carried out to investigate the consequences of presenting various forms of guidance to problem solvers.As had been suggested from previous research, having students study worked examples, under many circumstances, resulted in superior learning compared to active problem solving.It has been hypothesized that the guidance provided by worked examples directs attention appropriately and reduces cognitive load compared to that imposed by a means-ends strategy used by most novice problem solvers.Guidance in turn, may assist solvers in acquiring problem solving schemas.
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“The split-attention effect stems from research on worked examples and was first reported by Tarmizi and Sweller (1988).”
From Cognitive Architecture and Instructional Design: 20 Years Later (2019) · cites this paper as Tarmizi and Sweller (1988)
In the citing paper
“This split-attention effect can be prevented by physically integrating the diagram and the solution statements, making mental integration superfluous and reinstating the positive effects of worked examples.”
From Cognitive Architecture and Instructional Design: 20 Years Later (2019) · cites this paper as Tarmizi and Sweller (1988)
In the citing paper
“Second, the design of high-quality worked examples is challenging, particularly if these require integration of multiple information sources, which could lead to a higher extraneous cognitive load (Sweller et al., 1990, 1998; Tarmizi & Sweller, 1988; Ward & Sweller, 1990).”
From Does difficulty moderate learning? A comparative analysis of the desirable difficulties framework and cognitive load theory (2025) · cites this paper as Tarmizi & Sweller, 1988
In the citing paper
“First, it is not obtainable when the worked examples are themselves structured in a manner that imposes a heavy cognitive load.”
From Why Minimal Guidance During Instruction Does Not Work: An Analysis of the Failure of Constructivist, Discovery, Problem-Based, Experiential, and Inquiry-Based Teaching (2006) · cites this paper as Tarmizi & Sweller, 1988
Citations
Cites
The magical number seven, plus or minus two: Some limits on our capacity for processing information.
Miller, G. A. (1994) · Psychological Review · doi:10.1037/0033-295x.101.2.343 · Cited by 17,559
Cognitive Load During Problem Solving: Effects on Learning
Sweller, J. (1988) · Cognitive Science · doi:10.1016/0364-0213(88)90023-7 · Cited by 11,048
Self-citationEricsson (1993) · doi:10.1037/0033-295x.87.3.215 · Cited by 4,539
Chase, W. G., & Simon, H. A. (1973) · Cognitive Psychology · doi:10.1016/0010-0285(73)90004-2 · Cited by 4,479
Cognitive Skills and Their Acquisition
Anderson, J. R. (2013) · Psychology Press eBooks · doi:10.4324/9780203728178 · Cited by 2,929
Gick, M. L., & Holyoak, K. J. (1980) · Cognitive Psychology · doi:10.1016/0010-0285(80)90013-4 · Cited by 2,552
Expert and Novice Performance in Solving Physics Problems
Larkin, J., McDermott, J. P., Simon, D. P., & Simon, H. A. (1980) · Science · doi:10.1126/science.208.4450.1335 · Cited by 2,112
Kintsch, W. (1977) · Medical Entomology and Zoology · Cited by 2,051
Advances in the Psychology of Human Intelligence
Sternberg, R. J. (2014) · Psychology Press eBooks · doi:10.4324/9781315808246 · Cited by 1,771
Michelene, T. H., Glaser, R. A., & Rees, E. T. (1981) · Defense Technical Information Center (DTIC) · Cited by 1,529
Brook, C. V., & Groot, A. D. D. (1966) · The American Journal of Psychology · doi:10.2307/1421155 · Cited by 1,295
The Use of Worked Examples as a Substitute for Problem Solving in Learning Algebra
Sweller, J., & Cooper, G. A. (1985) · Cognition and Instruction · doi:10.1207/s1532690xci0201_3 · Cited by 1,214
Self-citationCognitive Processes in Comprehension
Just, M. A., & Carpenter, P. A. (2013) · Psychology Press eBooks · doi:10.4324/9781315798851 · Cited by 1,150
Johnson, D. M., & Sternberg, R. J. (1978) · The American Journal of Psychology · doi:10.2307/1421839 · Cited by 990
A Framework For Representing Knowledge
Minsky, M. (1979) · De Gruyter eBooks · doi:10.1515/9783110858778-003 · Cited by 867
Why are some problems hard? Evidence from Tower of Hanoi
Kotovsky, K., Hayes, J. R., & Simon, H. A. (1985) · Cognitive Psychology · doi:10.1016/0010-0285(85)90009-x · Cited by 722
Flowing Waters or Teeming Crowds: Mental Models of Electricity
Dedre Gentner, C., & Gentner, D. R. (2014) · Psychology Press eBooks · doi:10.4324/9781315802725-10 · Cited by 699
Effects of schema acquisition and rule automation on mathematical problem-solving transfer.
Cooper, G., & Sweller, J. (1987) · Journal of Educational Psychology · doi:10.1037/0022-0663.79.4.347 · Cited by 688
Self-citationKnowledge structures and memory development.
Michelene, T. H. (1978) · Medical Entomology and Zoology · Cited by 681
Siegler, R. S. (2013) · Psychology Press eBooks · doi:10.4324/9780203763087 · Cited by 678
Acquisition of domain-related information in relation to high and low domain knowledge
Chiesi, H. L., Spilich, G. J., & Voss, J. F. (1979) · Journal of Verbal Learning and Verbal Behavior · doi:10.1016/s0022-5371(79)90146-4 · Cited by 635
Models of Competence in Solving Physics Problems*
Larkin, J. H., McDermott, J. P., Simon, D. P., & Simon, H. A. (1980) · Cognitive Science · doi:10.1207/s15516709cog0404_1 · Cited by 531
Text processing of domain-related information for individuals with high and low domain knowledge
Spilich, G. J., Vesonder, G., Chiesi, H. L., & Voss, J. F. (1979) · Journal of Verbal Learning and Verbal Behavior · doi:10.1016/s0022-5371(79)90155-5 · Cited by 515
Chunking in recall of symbolic drawings
Egan, D. E., & Schwartz, B. J. (1979) · Memory & Cognition · doi:10.3758/bf03197595 · Cited by 482
Structuring Effective Worked Examples
Ward, M., & Sweller, J. (1990) · Cognition and Instruction · doi:10.1207/s1532690xci0701_1 · Cited by 396
Self-citationProblem Solving and Education: Issues in Teaching and Research
Tuma, D. T., & Reif, F. (1980) · Medical Entomology and Zoology · Cited by 385
The understanding process: Problem isomorphs
Simon, H. A., & Hayes, J. R. (1976) · Cognitive Psychology · doi:10.1016/0010-0285(76)90022-0 · Cited by 372
Individual Differences in Solving Physics Problems (1978)
Simon, D. P., & Simon, H. A. (1978) · Cited by 365
The Processes Involved in Designing Software.
Atwood, M. E., Jeffries, R., Turner, A. A., & Polson, P. G. (1980) · Defense Technical Information Center (DTIC) · Cited by 356
Short-term memory limitations in children: Capacity or processing deficits?
Michelene, T. H. (1976) · Memory & Cognition · doi:10.3758/bf03213219 · Cited by 283
Development of expertise in mathematical problem solving.
Sweller, J., Mawer, R. F., & Ward, M. R. (1983) · Journal of Experimental Psychology: General · doi:10.1037/0096-3445.112.4.639 · Cited by 258
Self-citationProblem solving and rule induction: A unified view.
Simon, H. A., & Lea, G. (1974) · Medical Entomology and Zoology · Cited by 246
Changes in conceptual structure with expertise: Differences between real-world experts and novices.
Murphy, G. L., & Wright, J. C. (1984) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037/0278-7393.10.1.144 · Cited by 237
What do students learn while solving mathematics problems?
Owen, E., & Sweller, J. (1985) · Journal of Educational Psychology · doi:10.1037/0022-0663.77.3.272 · Cited by 206
Self-citationComponents of skill in bridge.
Charness, N. H. (1979) · Canadian Journal of Psychology/Revue Canadienne de Psychologie · doi:10.1037/h0081698 · Cited by 197
Saegert, S., & Winkel, G. H. (1990) · Annual Review of Psychology · doi:10.1146/annurev.ps.41.020190.002301 · Cited by 189
Effects of goal specificity on means–ends analysis and learning.
Sweller, J., & Levine, M. (1982) · Journal of Experimental Psychology: Learning, Memory, and Cognition · doi:10.1037/0278-7393.8.5.463 · Cited by 182
Self-citationUnderstanding written problem instructions.
Hayes, J. R., & Simon, H. A. (1974) · Cited by 177
Milgram, S., & Jodelet, D. (2014) · Routledge eBooks · doi:10.4324/9781315816852-9 · Cited by 171
Discrimination of operator schemata in problem solving: Learning from examples
Lewis, M. W., & Anderson, J. R. (1985) · Cognitive Psychology · doi:10.1016/0010-0285(85)90003-9 · Cited by 160
Memory as a function of attention, level of processing, and automatization.
Fisk, A. D., & Schneider, W. (1984) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037/0278-7393.10.2.181 · Cited by 142
Cognitive Skill: Implications for Spatial Skill in Large-Scale Environments.
Chase, W. G., & Michelene, T. H. (1979) · Defense Technical Information Center (DTIC) · Cited by 96
A model of problem solving with incomplete constraint knowledge
Karat, J. (1982) · Cognitive Psychology · doi:10.1016/0010-0285(82)90018-4 · Cited by 87
A process model for Missionaries-Cannibals and other river-crossing problems
Jeffries, R., Polson, P. G., Razran, L., & Atwood, M. E. (1977) · Cognitive Psychology · doi:10.1016/0010-0285(77)90015-9 · Cited by 85
Individual differences in secondary task performance
Lansman, M., & Hunt, E. B. (1982) · Memory & Cognition · doi:10.3758/bf03197621 · Cited by 67
Natures of Problem-Solving Abilities
Estes, W. (2014) · Psychology Press eBooks · doi:10.4324/9781315770314-13 · Cited by 53
Control mechanisms in problem solving
Sweller, J. (1983) · Memory & Cognition · doi:10.3758/bf03197659 · Cited by 47
Self-citationEffects of subgoal density and location on learning during problem solving.
Mawer, R. F., & Sweller, J. (1982) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037/0278-7393.8.3.252 · Cited by 46
Self-citationA Cognitive Theory of Learning
Levine, M. (2022) · Routledge eBooks · doi:10.4324/9781003316565 · Cited by 42
THE EFFECT OF TASK COMPLEXITY AND SEQUENCE ON RULE LEARNING AND PROBLEM SOLVING
Sweller, J. (1976) · British Journal of Psychology · doi:10.1111/j.2044-8295.1976.tb01546.x · Cited by 34
Self-citationLearning Mathematics from Examples and by Doing
Zhu, X., & Simon, H. A. (1987) · Defense Technical Information Center (DTIC) · doi:10.21236/ada204495 · Cited by 24
Nonlearning: The completeness of the blindness.
Fingerman, P. W., & Levine, M. (1974) · Journal of Experimental Psychology · doi:10.1037/h0036096 · Cited by 13
Cognitive structures of good and poor novice problem solvers in physics.
de Jong, T., & Ferguson-Hessler, M. G. (1986) · Journal of Educational Psychology · doi:10.1037//0022-0663.78.4.279 · Cited by 9
Einstellung, the sequence effect, and hypothesis theory.
Sweller, J., & Gee, W. (1978) · Journal of Experimental Psychology Human Learning & Memory · doi:10.1037//0278-7393.4.5.513 · Cited by 5
Self-citationIdentifying the Relevant Aspects of a Problem Text
Hayes, J. R., WATERMAN, D. A., & Robinson, C. (1977) · Cognitive Science · doi:10.1207/s15516709cog0103_4 · Cited by 3
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Kirschner, P. A., Sweller, J., & Clark, R. E. (2006) · Educational Psychologist · doi:10.1207/s15326985ep4102_1 · Cited by 7,776
Self-citationCognitive Architecture and Instructional Design
Sweller, J., van Merrienboer, J. J. G., & Paas, F. G. W. C. (1998) · Educational Psychology Review · doi:10.1023/a:1022193728205 · Cited by 6,023
Self-citationCognitive load theory, learning difficulty, and instructional design
Sweller, J. (1994) · Learning and Instruction · doi:10.1016/0959-4752(94)90003-5 · Cited by 3,801
Self-citationCognitive Load Theory and the Format of Instruction
Chandler, P., & Sweller, J. (1991) · Cognition and Instruction · doi:10.1207/s1532690xci0804_2 · Cited by 2,894
Self-citationCognitive Architecture and Instructional Design: 20 Years Later
Sweller, J., van Merriënboer, J. J. G., & Paas, F. (2019) · Educational Psychology Review · doi:10.1007/s10648-019-09465-5 · Cited by 2,337
Self-citation
Metadata
- Authors
- Tarmizi, R. A., & Sweller, J.
- Affiliations
- UNSW Sydney (AU)
- ORCID
- Sweller, John
- Venue
- Journal of Educational Psychology
- Published
- 1988-12
- Volume
- 80
- Issue
- 4
- Pages
- 424-436
- ISSN
- 0022-0663 (ISSN-L)
- 1939-2176
- OpenAlex
- W2088730954
- Semantic Scholar
- 96dfa2797b3aff42cc03d93656fb84feca0b9cb3
- Cited by
- 464
- References
- 55
- Citations by year
- 2026: 5 · 2025: 7 · 2024: 13 · 2023: 17 · 2022: 12 · 2021: 22 · 2020: 12 · 2019: 23 · 2018: 10 · 2017: 9 · 2016: 16 · 2015: 19 · 2014: 19 · 2013: 25 · 2012: 36
- FWCI
- 4.22
- Type
- journal article
- Language
- en
- Open access
- green
- hdl.handle.net
- Licence
- cc-by-nc-nd
- Locations
- Journal of Educational Psychology (publishedVersion)
- UNSWorks (UNSW Sydney) (submittedVersion, cc-by-nc-nd)
- UNSWorks (UNSW Sydney)
- Funders
- NSW Department of Education
- Topics
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Visual and Cognitive Learning Processes
- Social Sciences › Education › Mathematics Education and Pedagogy
- Social Sciences › Psychology › Developmental and Educational Psychology › Innovative Teaching and Learning Methods
- Keywords
- worked examples, mathematical problem solving, guidance, circle geometry, cognitive load, attention, active problem solving
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