Priming Addition Facts With Semantic Relations

Journal of Experimental Psychology: Learning Memory and Cognition

Volumn 34, Issue 2, 2008, Pages 343-352

  Bassok, Miriam ^a   Pedigo, Samuel F ^a   Oskarsson, An T ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

analogy; cognitive arithmetic; conceptual integration; mathematical reasoning; relational priming

Indexed keywords

ADULT; ARTICLE; ATTENTION; FEMALE; HUMAN; MALE; MATHEMATICS; PAIRED ASSOCIATE LEARNING; PROBLEM SOLVING; REACTION TIME; RECALL; SEMANTICS;

ADULT; ATTENTION; FEMALE; HUMANS; MALE; MATHEMATICS; MENTAL RECALL; PAIRED-ASSOCIATE LEARNING; PROBLEM SOLVING; REACTION TIME; SEMANTICS;

EID: 40949100906     PISSN: 02787393     EISSN: None     Source Type: Journal    
DOI: 10.1037/0278-7393.34.2.343     Document Type: Article

References (47)

1. Alf E.F., and Grossberg J.M. The geometric mean: Confidence limits and significance tests. Perception & Psychophysics 26 (1979) 419-421
2. Ashcraft M.H. Cognitive arithmetic: A review of data and theory. Cognition 44 (1992) 75-106
3. Ashcraft M.H., and Battaglia J. Cognitive arithmetic: Evidence for retrieval and decision processes in mental addition. Journal of Experimental Psychology: Human Learning and Memory 4 (1978) 527-538
4. Bassok M. Semantic alignments in mathematical word problems. In: Gentner D., Holyoak K.J., and Kokinov B.N. (Eds). The analogical mind: Perspectives from cognitive science (2001), MIT Press, Cambridge, MA 401-433
5. Bassok M., Chase V.M., and Martin S.A. Adding apples and oranges: Alignment of semantic and formal knowledge. Cognitive Psychology 35 (1998) 99-134
6. Bassok M., Wu L.L., and Olseth K.L. Judging a book by its cover: Interpretative effects of content on problem-solving transfer. Memory & Cognition 23 (1995) 354-367
7. Battig W.F., and Montague W.E. Category norms of verbal items in 56 categories: A replication extension of the Connecticut category norms. Journal of Experimental Psychology 80 (1969) 1-46
8. Besner D., and Stolz J.A. Context dependency in Stroop's paradigm: When are words treated as nonlinguistic objects?. Canadian Journal of Experimental Psychology 53 (1999) 374-380
9. Besner D., Stolz J.A., and Boutilier C. The Stroop effect and the myth of automaticity. Psychonomic Bulletin & Review 4 (1997) 221-225
10. Campbell J.I.D. Network interference and mental multiplication. Journal of Experimental Psychology: Learning, Memory, and Cognition 13 (1987) 109-123
11. Campbell J.I.D. Architectures for numerical cognition. Cognition 53 (1995) 1-44
12. Campbell J.I.D. Handbook of mathematical cognition (2005), Psychology Press, New York
13. Campbell J.I.D., and Epp L.J. Architectures for arithmetic. In: Campbell J.I.D. (Ed). Handbook of mathematical cognition (2005), Psychology Press, New York 347-360
14. Carraher D.W., and Schliemann A.D. Lessons from everyday reasoning in mathematics education: Realism versus meaningfulness. In: Jonassen D.H., and Land S.M. (Eds). Theoretical foundations of learning environments (2000), Erlbaum, Mahwah, NJ 173-195
15. Coltheart M. The MRC psycholinguistic database. Quarterly Journal of Experimental Psychology 33A (1981) 497-505
16. Dagenbach D., Carr T.H., and Barnhardt T.M. Inhibitory semantic priming of lexical decisions due to failure to retrieve weakly activated codes. Journal of Experimental Psychology: Learning, Memory, and Cognition 16 (1990) 328-340
17. De Corte E., and Verschaffel L. An empirical test of the impact of primitive intuitive models of operations on solving word problems with a multiplicative structure. Learning and Instruction 6 (1996) 219-242
18. Dehaene S., and Cohen L. Toward an anatomical and functional model of number processing. Mathematical Cognition 1 (1995) 83-120
19. Dixon J.A. Mathematical problem solving: The roles of exemplar, schema, and relational representations. In: Campbell J.I.D. (Ed). Handbook of mathematical cognition (2005), Psychology Press, New York 379-395
20. English L.D., and Halford G.S. Mathematics education: Models and processes (1995), Erlbaum, Mahwah, NJ
21. Fischbein E., Deri M., Nello M.S., and Marino M.S. The role of implicit models in solving verbal problems in multiplication and division. Journal of Research in Mathematics Education 16 (1985) 3-17
22. Forbus K.D., Gentner D., and Law K. MAC/FAC: A model of similarity-based retrieval. Cognitive Science 19 (1995) 141-205
23. Geary D.C., and Widaman K.F. Individual differences in cognitive arithmetic. Journal of Experimental Psychology: General 116 (1987) 154-171
24. Greeno J.G. Instructional representations based on research about understanding. In: Schoenfeld A. (Ed). Cognitive science and mathematics education (1987), Erlbaum, Hillsdale, NJ 61-88
25. Hegarty M., Mayer R.E., and Monk C.A. Comprehension of arithmetic word problems: A comparison of successful and unsuccessful problem solvers. Journal of Educational Psychology 87 (1995) 18-32
26. Herd S.A., Banich M.T., and O'Reilly R.C. Neural mechanisms of cognitive control: An integrative model of Stroop task performance and fMRI data. Journal of Cognitive Neuroscience 18 (2006) 22-32
27. Hinsley D.A., Hayes J.R., and Simon H.A. From words to equations: Meaning and representation in algebra word problems. In: Just M.A., and Carpenter P.A. (Eds). Cognitive processes in comprehension (1977), Erlbaum, Hillsdale, NJ 89-106
28. Hummel J.E., and Holyoak K.J. Distributed representations of structure: A theory of analogical access and mapping. Psychological Review 104 (1997) 427-466
29. Hummel J.E., and Holyoak K.J. A symbolic-connectionist theory of relational inference and generalization. Psychological Review 110 (2003) 220-264
30. Inquisit 1.31 [Computer software] (2000), Millisecond Software LLC, Seattle, WA
31. Jonides J., and Mack R. On the cost and benefit of cost and benefit. Psychological Bulletin 96 (1984) 29-44
32. Kahan T.A. Negative priming from masked words: Retrospective prime clarification or center-surround inhibition?. Journal of Experimental Psychology: Learning, Memory, and Cognition 26 (2000) 1392-1410
33. Kintsch W. The role of knowledge in discourse comprehension: A construction integration model. Psychological Review 95 (1988) 163-182
34. Koedinger K.R., and Nathan M.J. The real story behind story problems: Effects of representations on quantitative reasoning. The Journal of the Learning Sciences 13 (2004) 129-164
35. LeFevre J., Bisanz J., and Mrkonjic L. Cognitive arithmetic: Evidence for obligatory activation of arithmetic facts. Memory & Cognition 16 (1988) 45-53
36. LeFevre J., and Kulak A.G. Individual differences in the obligatory activation of addition facts. Memory & Cognition 22 (1994) 188-200
37. Lu H., Morrison R.G., Hummel J.E., and Holyoak K.J. Role of gamma-band synchronization in priming of form discrimination for multiobject displays. Journal of Experimental Psychology: Human Perception and Performance 32 (2006) 610-617
38. Martin S.A., and Bassok M. Effects of semantic cues on mathematical modeling: Evidence from word-problem solving and equation construction tasks. Memory & Cognition 33 (2005) 471-478
39. Mathis K.M. Semantic inference from objects both in and out of a scene context. Journal of Experimental Psychology: Learning, Memory, and Cognition 28 (2002) 171-182
40. McCloskey M. Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia. Cognition 44 (1992) 107-157
41. Meyer D.E., and Schvaneveldt R.W. Facilitation in recognizing pairs of words: Evidence of a dependence between retrieval operations. Journal of Experimental Psychology 90 (1971) 227-234
42. Nesher P. Microworlds in mathematical education: A pedagogical realism. In: Resnick L.B. (Ed). Knowing, learning, and instruction: Essays in honor of Robert Glaser (1989), Erlbaum, Hillsdale, NJ 187-215
43. Rusconi E., Galfano G., Speriani V., and Umiltà C. Capacity and contextual constraints on product activation: Evidence from task-irrelevant fact retrieval. The Quarterly Journal of Experimental Psychology 57A (2004) 1485-1511
44. Saxe G.B. The mathematics of child street vendors. Child Development 59 (1988) 1415-1425
45. Schreuder R., Giovanni F.D.B., and Glazenborg G. Effects of perceptual and conceptual similarity in semantic priming. Psychological Research 45 (1984) 339-354
46. Siegler R.S. The perils of averaging data over strategies: An example from children's addition. Journal of Experimental Psychology: General 116 (1987) 250-264
47. Spellman B.A., Holyoak K.J., and Morrison R.G. Analogical priming via semantic relations. Memory & Cognition 29 (2001) 383-393