Literature DB >> 10586585

Individual solution processes while solving addition and multiplication math facts in adults.

S A Hecht1.   

Abstract

Contrary to predictions of current solution process models, adults used a variety of procedures other than retrieval to solve addition and multiplication math facts. Predictors assumed to capture retrieval processes posited by such models did account for a substantial proportion of variance in averaged retrieval solution times. But most of the variance in individual participants' retrieval times remained unaccounted for. Cross-operation associations in patterns of strategy use and retrieval latencies were obtained. Adults with stronger higher level math achievement were more likely to use retrieval, solved math facts faster and less variably, and executed retrieval processes posited by current solution process models faster than participants with less math attainment. The results are explained within the context of the adaptive strategy choice model.

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Mesh:

Year:  1999        PMID: 10586585     DOI: 10.3758/bf03201239

Source DB:  PubMed          Journal:  Mem Cognit        ISSN: 0090-502X


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Authors:  D C Geary
Journal:  Psychol Bull       Date:  1993-09       Impact factor: 17.737

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Authors:  R S Siegler
Journal:  J Exp Psychol Gen       Date:  1988-09
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  18 in total

1.  Effects of response time deadlines on adults' strategy choices for simple addition.

Authors:  Jamie I D Campbell; Shauna Austin
Journal:  Mem Cognit       Date:  2002-09

2.  Counting on working memory in simple arithmetic when counting is used for problem solving.

Authors:  Steven A Hecht
Journal:  Mem Cognit       Date:  2002-04

3.  Decomposing the problem-size effect: a comparison of response time distributions across cultures.

Authors:  Marcie Penner-Wilger; Craig Leth-Steensen; Jo-Anne LeFevre
Journal:  Mem Cognit       Date:  2002-10

4.  Doing as they are told and telling it like it is: self-reports in mental arithmetic.

Authors:  Brenda L Smith-Chant; Jo-Anne LeFevre
Journal:  Mem Cognit       Date:  2003-06

5.  The tie effect in simple arithmetic: an access-based account.

Authors:  Jo-Anne LeFevre; Tina Shanahan; Diana DeStefano
Journal:  Mem Cognit       Date:  2004-09

6.  Interacting neighbors: a connectionist model of retrieval in single-digit multiplication.

Authors:  Tom Verguts; Wim Fias
Journal:  Mem Cognit       Date:  2005-01

7.  Calculation latency: the mu of memory and the tau of transformation.

Authors:  Jamie I D Campbell; Marcie Penner-Wilger
Journal:  Mem Cognit       Date:  2006-01

8.  Group differences in adult simple arithmetic: good retrievers, not-so-good retrievers, and perfectionists.

Authors:  Steven A Hecht
Journal:  Mem Cognit       Date:  2006-01

9.  Identical elements model of arithmetic memory: extension to addition and subtraction.

Authors:  Jamie I D Campbell; Shannon Fuchs-Lacelle; Thomas L Phenix
Journal:  Mem Cognit       Date:  2006-04

10.  Do multiplication and division strategies rely on executive and phonological working memory resources?

Authors:  Ineke Imbo; André Vandierendonck
Journal:  Mem Cognit       Date:  2007-10
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