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Mathematical Cognition Volume 3, 1997 - Issue 1
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Original Articles

The Role of Experience in Numerical Skill: Multiplication Performance in Adults from Canada and China

Jo-Anne LeFevre
&
Jing Liu
Pages 31-62 | Published online: 21 Sep 2010

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Yi Ding, Dake Zhang, Ru-De Liu, Jia Wang & Le Xu. (2021) Effect of Automaticity on Mental Addition: The Moderating Role of Working Memory. The Journal of Experimental Education 89:1, pages 33-53.
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Yalin Chen & Jamie I. D. Campbell. (2017) An evaluation of sex and cultural differences in arithmetic retrieval-induced forgetting. Journal of Cognitive Psychology 29:8, pages 949-962.
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Ru-De Liu, Yi Ding, Le Xu & Jia Wang. (2017) Involvement of working memory in mental multiplication in Chinese elementary students. The Journal of Educational Research 110:4, pages 380-390.
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Sospeter K. Gatobu, Jose F. Arocha & Laurie Hoffman-Goetz. (2016) Numeracy, Health Numeracy, and Older Immigrants’ Primary Language: An Observation-Oriented Exploration. Basic and Applied Social Psychology 38:4, pages 185-199.
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Yalin Chen & Jamie I. D. Campbell. (2015) Operator and operand preview effects in simple addition and multiplication: A comparison of Canadian and Chinese adults. Journal of Cognitive Psychology 27:3, pages 326-334.
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Antonio Castro, Alex Sumich, Preethi Premkumar & Gary Jones. (2014) How do incorrect results change the processing of arithmetic information? Evidence from a divided visual field experiment. Laterality 19:3, pages 340-353.
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Jamie I. D. Campbell, Yalin Chen & Anna J. Maslany. (2013) Retrieval-induced forgetting of arithmetic facts across cultures. Journal of Cognitive Psychology 25:6, pages 759-773.
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Fan Zhou, Qian Zhao, Chuansheng Chen & Xinlin Zhou. (2012) Mental representations of arithmetic facts: Evidence from eye movement recordings supports the preferred operand-order-specific representation hypothesis. The Quarterly Journal of Experimental Psychology 65:4, pages 661-674.
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Xinlin Zhou, James R. Booth, Jiayan Lu, Hui Zhao, Brian Butterworth, Chuansheng Chen & Qi Dong. (2011) Age-Independent and Age-Dependent Neural Substrate for Single-Digit Multiplication and Addition Arithmetic Problems. Developmental Neuropsychology 36:3, pages 338-352.
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NicoleD. Robert & JamieI. D. Campbell. (2008) Simple addition and multiplication: No comparison. European Journal of Cognitive Psychology 20:1, pages 123-138.
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ArronW. S. Metcalfe & JamieI. D. Campbell. (2007) The role of cue familiarity in adults’ strategy choices for simple addition. European Journal of Cognitive Psychology 19:3, pages 356-373.
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Jamie I.D. Campbell, Cindy L. Kanz & Qilin Xue. (1999) Number Processing in Chinese-English Bilinguals. Mathematical Cognition 5:1, pages 1-39.
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Jo-Anne LeFevre. (1998) Interactions among Encoding, Calculation, and Production Processes in the Multiplication Performance of Chinese-speaking Adults. Mathematical Cognition 4:1, pages 47-65.
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Articles from other publishers (47)

Steson Lo & Sally Andrews. (2022) The effects of mental abacus expertise on working memory, mental representations and calculation strategies used for two-digit Hindu-Arabic numbers. Journal of Numerical Cognition 8:1, pages 89-122.
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Banu Avsar Erumit, Valarie L. Akerson & Gayle A. Buck. (2020) Multiculturalism in higher education: experiences of international teaching assistants and their students in science and math classrooms. Cultural Studies of Science Education 16:1, pages 251-278.
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Avital Rotem & Avishai Henik. (2020) Multiplication facts and number sense in children with mathematics learning disabilities and typical achievers. Cognitive Development 54, pages 100866.
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Chang Xu, Feng Gu, Katherine Newman & Jo-Anne LeFevre. (2019) The hierarchical symbol integration model of individual differences in mathematical skill. Journal of Numerical Cognition 5:3, pages 262-282.
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Shu Zhang, Yiming Cao, Lidong Wang & Xinlian Li. (2019) Characteristics of teaching and learning single-digit whole number multiplication in china: the case of the nine-times table. ZDM 51:1, pages 81-94.
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Emily Sum & Oh Nam Kwon. (2018) An Analysis of Linguistic Features of the Multiplication Tables and the Language of Multiplication. EURASIA Journal of Mathematics, Science and Technology Education 14:7.
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Yalin Chen & Jamie I. D. Campbell. (2017) “Compacted” procedures for adults’ simple addition: A review and critique of the evidence. Psychonomic Bulletin & Review 25:2, pages 739-753.
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John Towse. 2018. Language and Culture in Mathematical Cognition. Language and Culture in Mathematical Cognition xv xix .
Dazhi Cheng, Haiyan Wu, Li Yuan, Rui Xu, Qian Chen & Xinlin Zhou. (2017) Modality-Dependent or Modality-Independent Processing in Mental Arithmetic: Evidence From Unimpaired Auditory Multiplication for a Patient With Left Frontotemporal Stroke. Journal of the International Neuropsychological Society 23:8, pages 692-699.
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Devon DelVecchio, William J. Jones & Eric Stenstrom. (2017) Integrating partitioned prices via computational estimation. Psychology & Marketing 34:8, pages 823-835.
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Juan Zhang, Xitao Fan, Sum Kwing Cheung, Yaxuan Meng, Zhihui Cai & Bi Ying Hu. (2017) The role of early language abilities on math skills among Chinese children. PLOS ONE 12:7, pages e0181074.
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Sospeter Gatobu, Laurie Hoffman-Goetz & Jose F. Arocha. 2017. Cognitive Informatics in Health and Biomedicine. Cognitive Informatics in Health and Biomedicine 195 216 .
Federico Zimmerman, Diego Shalom, Pablo A. Gonzalez, Juan Manuel Garrido, Facundo Alvarez Heduan, Stanislas Dehaene, Mariano Sigman & Andres Rieznik. (2016) Arithmetic on Your Phone: A Large Scale Investigation of Simple Additions and Multiplications. PLOS ONE 11:12, pages e0168431.
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Evan T. Curtis, Matthew G. Huebner & Jo-Anne LeFevre. (2016) The relationship between problem size and fixation patterns during addition, subtraction, multiplication, and division. Journal of Numerical Cognition 2:2, pages 91-115.
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Sanne H.G. van der Ven, Marthe Straatemeier, Brenda R.J. Jansen, Sharon Klinkenberg & Han L.J. van der Maas. (2015) Learning multiplication: An integrated analysis of the multiplication ability of primary school children and the difficulty of single digit and multidigit multiplication problems. Learning and Individual Differences 43, pages 48-62.
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O. Arda Cimen. (2014) How Do Children Multiply: Reflections and Prospective Pedagogical Implications. Procedia - Social and Behavioral Sciences 159, pages 593-597.
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Marcia A. Barnes & Kimberly P. Raghubar. (2014) Mathematics development and difficulties: The role of visual-spatial perception and other cognitive skills. Pediatric Blood & Cancer 61:10, pages 1729-1733.
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Pom Charras, Enrique Molina & Juan Lupiáñez. (2013) Additions are biased by operands: evidence from repeated versus different operands. Psychological Research 78:2, pages 248-265.
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S. Gatobu, J. F. Arocha & L. Hoffman-Goetz. (2014) Numeracy and Health Numeracy Among Chinese and Kenyan Immigrants to Canada. SAGE Open 4:1, pages 215824401452143.
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Daniele Didino, Luigi Lombardi & Francesco Vespignani. (2014) Operand-Order Effect in Multiplication and Addition. Experimental Psychology 61:6, pages 470-479.
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Fuchang Liu. (2013) Are Exact Calculation and Computational Estimation Categorically Different?. Applied Cognitive Psychology 27:5, pages 672-682.
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Jamie I. D. Campbell & Roxanne R. Dowd. (2012) Interoperation transfer in Chinese–English bilinguals’ arithmetic. Psychonomic Bulletin & Review 19:5, pages 948-954.
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Pom Charras, Garvin Brod & Juan Lupiáñez. (2011) Is 26 + 26 smaller than 24 + 28? Estimating the approximate magnitude of repeated versus different numbers. Attention, Perception, & Psychophysics 74:1, pages 163-173.
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Sharon Sui Ngan Ng & Nirmala Rao. (2010) Chinese Number Words, Culture, and Mathematics Learning. Review of Educational Research 80:2, pages 180-206.
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Kimberly P. Raghubar, Marcia A. Barnes & Steven A. Hecht. (2010) Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences 20:2, pages 110-122.
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Ineke Imbo & Jo-Anne LeFevre. (2010) The role of phonological and visual working memory in complex arithmetic for Chinese- and Canadian-educated adults. Memory & Cognition 38:2, pages 176-185.
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Xinlin Zhou, Chuansheng Chen, Sibing Qiao, Chunhui Chen, Lan Chen, Na Lu & Qi Dong. (2009) Event-related potentials for simple arithmetic in Arabic digits and Chinese number words: a study of the mental representation of arithmetic facts through notation and operation effects. Brain Research 1302, pages 212-224.
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Ineke Imbo & André Vandierendonck. (2007) Practice effects on strategy selection and strategy efficiency in simple mental arithmetic. Psychological Research 72:5, pages 528-541.
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Yue Wang, Lotus Lin, Patricia Kuhl & Joy Hirsch. (2007) Mathematical and Linguistic Processing Differs Between Native and Second Languages: An fMRI Study. Brain Imaging and Behavior 1:3-4, pages 68-82.
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Ineke Imbo, André Vandierendonck & Yves Rosseel. (2007) The influence of problem features and individual differences on strategic performance in simple arithmetic. Memory & Cognition 35:3, pages 454-463.
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Xinlin Zhou, Chuansheng Chen, Yufeng Zang, Qi Dong, Chunhui Chen, Sibing Qiao & Qiyong Gong. (2007) Dissociated brain organization for single-digit addition and multiplication. NeuroImage 35:2, pages 871-880.
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Xinlin Zhou, Chunhui Chen, Hongchuan Zhang, Chuansheng Chen, Renlai Zhou & Qi Dong. (2007) The operand-order effect in single-digit multiplication: An ERP study of Chinese adults. Neuroscience Letters 414:1, pages 41-44.
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Yiyuan Tang, Wutian ZhangKewei Chen, Shigang FengYe JiJunxian Shen, Eric M. Reiman & Yijun Liu. (2006) Arithmetic processing in the brain shaped by cultures. Proceedings of the National Academy of Sciences 103:28, pages 10775-10780.
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Xinlin Zhou, Chuansheng Chen, Qi Dong, Hongchuan Zhang, Renlai Zhou, Hui Zhao, Chunhui Chen, Sibing Qiao, Ting Jiang & Yi Guo. (2006) Event-related potentials of single-digit addition, subtraction, and multiplication. Neuropsychologia 44:12, pages 2500-2507.
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Loel N. Tronsky. (2005) Strategy use, the development of automaticity, and working memory involvement in complex multiplication. Memory & Cognition 33:5, pages 927-940.
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Tom Verguts & Wim Fias. (2005) Interacting neighbors: A connectionist model of retrieval in single-digit multiplication. Memory & Cognition 33:1, pages 1-16.
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Brian Butterworth. (2005) The development of arithmetical abilities. Journal of Child Psychology and Psychiatry 46:1, pages 3-18.
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Jo-anne LeFevre, Tina Shanahan & Diana DeStefano. (2004) The tie effect in simple arithmetic: An access-based account. Memory & Cognition 32:6, pages 1019-1031.
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Jamie I. D. Campbell, Helen R. Parker & Nicole L. Doetzel. (2004) Interactive Effects of Numerical Surface Form and Operand Parity in Cognitive Arithmetic.. Journal of Experimental Psychology: Learning, Memory, and Cognition 30:1, pages 51-64.
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Brenda L. Smith-Chant & Jo-Anne LeFevre. (2003) Doing as they are told and telling it like it is: Self-reports in mental arithmetic. Memory & Cognition 31:4, pages 516-528.
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Marcie Penner-Wilger, Craig Leth-Steensen & Jo-Anne LeFevre. (2002) Decomposing the problem-size effect: A comparison of response time distributions across cultures. Memory & Cognition 30:7, pages 1160-1167.
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Jamie I. D. Campbell & Shauna Austin. (2002) Effects of response time deadlines on adults’ strategy choices for simple addition. Memory & Cognition 30:6, pages 988-994.
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Michael C.W. YIP. (2002) PRESENTATION EFFECTS ON ARITHMETIC PROBLEM SOLVING. PSYCHOLOGIA -An International Journal of Psychology in the Orient 45:2, pages 90-97.
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Allan B. I. Bernardo. (2001) Asymmetric activation of number codes in bilinguals: Further evidence for the encoding complex model of number processing. Memory & Cognition 29:7, pages 968-976.
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Sylvia Steel & Elaine Funnell. (2001) Learning Multiplication Facts: A Study of Children Taught by Discovery Methods in England. Journal of Experimental Child Psychology 79:1, pages 37-55.
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Jamie I. D. Campbell & Jennifer C. Timm. (2000) Adults’ strategy choices for simple addition: Effects of retrieval interference. Psychonomic Bulletin & Review 7:4, pages 692-699.
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Jo-Anne LeFevre & Jason Morris. (1999) More on the relation between division and multiplication in simple arithmetic: Evidence for mediation of division solutions via multiplication. Memory & Cognition 27:5, pages 803-812.
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