Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-23T12:18:03.700Z Has data issue: false hasContentIssue false

Representations of numerals in Tibetan–Mandarin bilinguals

Published online by Cambridge University Press:  23 February 2023

Haibin Han
Affiliation:
College of Education, Hebei Normal University, Shijiazhuang, China
Ning An
Affiliation:
College of Education, Hebei Normal University, Shijiazhuang, China
Xinlin Zhou*
Affiliation:
State Key Laboratory of Cognitive Neuroscience and Learning, Faculty of Psychology, Beijing Normal University, Beijing, China Advanced Innovation Center for Future Education, Beijing Normal University, Beijing, China Siegler Center for Innovative Learning, Beijing Normal University, Beijing, China Center for Brain and Mathematical Learning, Beijing Normal University, Beijing, China
Zhanling Cui*
Affiliation:
College of Education, Hebei Normal University, Shijiazhuang, China
*
*Corresponding authors. E-mails: zhou_xinlin@bnu.edu.cn; myselfczl@163.com
*Corresponding authors. E-mails: zhou_xinlin@bnu.edu.cn; myselfczl@163.com

Abstract

Adopting a cross-language long-term repetition-priming paradigm, the current study systematically investigated number representation in Tibetan–Mandarin bilinguals. The study focused on three types of numerals: Arabic digits, Tibetan numerals, and Mandarin numerals. Experiment 1 examined lexical representation; participants performed a lexical decision task in the cross-language repetition-priming paradigm. Experiment 2 used a parity judgment task to examine conceptual representation. In both experiments, if the presentation of the numerals during the learning phase facilitated responses to their translation equivalents in the testing phase, it would indicate that they activate each other (i.e., a shared representation). Results showed that the presentation of Tibetan or Mandarin numerals did not facilitate subsequent responses to the Arabic digit equivalent. No cross-language repetition-priming effect between Tibetan and Mandarin numerals was found in the lexical decision task, indicating that Arabic digits, Tibetan number words, and Mandarin number words are stored separately at the lexical level. At the conceptual level, the results were quite the opposite, suggesting that these three types of numerals share a common representation. To sum up, the results imply that bilinguals’ number representation is similar to bilinguals’ language representation, providing a better understanding of number representation in bilinguals from a linguistic perspective.

Type
Article
Copyright
© The Author(s), 2023. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Becker, S., Moscovitch, M., Behrmann, M., & Joordens, S. (1997). Long-term semantic priming: A computational account and empirical evidence. Journal of Experimental Psychology: Learning, Memory, and Cognition, 23(5), 10591082.Google ScholarPubMed
Brignoni‐Pérez, E., Matejko, A. A., Jamal, N. I., & Eden, G. F. (2021). Functional neuroanatomy of arithmetic in monolingual and bilingual adults and children. Human Brain Mapping, 42(15), 48804895. Portico. https://doi.org/10.1002/hbm.25587CrossRefGoogle ScholarPubMed
Bernardo, A. B. I. (2001). Asymmetric activation of number codes in bilinguals: Further evidence for the encoding complex model of number processing. Memory & Cognition, 29(7), 968976.CrossRefGoogle ScholarPubMed
Campbell, J. I. D. (1994). Architectures for numerical cognition. Cognition, 53, 144.CrossRefGoogle ScholarPubMed
Campbell, J. I. D., & Clark, J. M. (1988). An encoding-complex view of cognitive number processing: Comment on McCloskey, Sokol, & Goodman (1986). Journal of Experimental Psychology: General, 117(2), 204214. https://doi.org/10.1037/0096-3445.117.2.204CrossRefGoogle Scholar
Campbell, J. I. D., & Epp, L. J. (2004). An encoding-complex approach to numerical cognition in Chinese-English bilinguals. Canadian Journal of Experimental Psychology/Revue Canadienne de Psychologie Expérimentale, 58(4), 229244.CrossRefGoogle ScholarPubMed
Campbell, J. I. D., Kanz, C. L., & Xue, Q. (1999). Number processing in Chinese–English bilinguals. Mathematical Cognition, 5, 139.CrossRefGoogle Scholar
Chen, B., Wang, L., & Peng, D. (2006). The time course of graphic, phonological and semantic activation of Chinese high-and-low frequency characters. Studies of Psychology and Behavior, 4(4), 252257.Google Scholar
Chen, B., Zhou, H., Gao, Y., & Dunlap, S. (2014). Cross-language translation priming asymmetry with Chinese-English bilinguals: A test of the sense model. Journal of Psycholinguistic Research, 43, 225240.CrossRefGoogle ScholarPubMed
Chen, H., & Ng, M. L. (1989). Semantic facilitation and translation priming effects in Chinese-English bilinguals. Memory & Cognition, 17, 454462.CrossRefGoogle ScholarPubMed
Cohen, L. D., & Dehaene, S. (1995). Reading numbers in pure alexia: Effects of the task and hemispheric specialization. Revue Neurologique, 151(8–9), 480485.Google ScholarPubMed
Cui, Z. L., & Zhang, J. J. (2009). Zang-Han-Ying san yu zhe ci hui yu yu yi biao zheng yan jiu [A research on lexical and conceptual representations in Tibetan–Mandarin-English trilinguals]. Psychological Science, 32(3), 559562.Google Scholar
Damian, M. F. (2004). Asymmetries in the processing of Arabic digits and number words. Memory & Cognition, 32(1), 164171.CrossRefGoogle ScholarPubMed
Dehaene, S. (1992). Varieties of numerical abilities. Cognition, 44(1–2), 142.CrossRefGoogle ScholarPubMed
Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122, 371396.CrossRefGoogle Scholar
Dehaene, S., & Cohen, L. (1991). Two mental calculation systems: A case study of severe acalculia with preserved approximation. Neuropsychologia, 29(11), 10451074.CrossRefGoogle ScholarPubMed
Dehaene, S., Dehaene-Lambertz, G., & Cohen, L. D. (1998). Abstract representations of numbers in the animal and human brain. Trends in Neurosciences, 21, 355361.CrossRefGoogle ScholarPubMed
Dehaene, S., Izard, V., Spelke, E. S., & Pica, P. (2008). Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science, 320, 12171220.CrossRefGoogle ScholarPubMed
Fias, W. (2001). Two routes for the processing of verbal numbers: Evidence from the SNARC effect. Psychological Research, 65, 250259.CrossRefGoogle ScholarPubMed
Fias, W., Brysbaert, M., Geypens, F., & d’Ydewalle, G. (1996). The importance of magnitude information in numerical processing: Evidence from the SNARC effect. Mathematical Cognition, 2, 95110.CrossRefGoogle Scholar
Fias, W., Reynvoet, B., & Brysbaert, M. (2001). Are Arabic numerals processed as pictures in a Stroop interference task? Psychological Research, 65, 242249.CrossRefGoogle Scholar
Fischler, I. (1977). Associative facilitation without expectancy in a lexical decision task. Journal of Experimental Psychology: Human Perception and Performance, 3, 1826.Google Scholar
Frenck-Mestre, C., & Vaid, J. (1993). Activation of number facts in bilinguals. Memory & Cognition, 21, 809818.CrossRefGoogle ScholarPubMed
Gao, X. L., Wang, Y. S., Guo, Z. Y., Zhang, M. M., & Bai, X. J. (2015). Zang-han shuang yu zhe yu yi yu ci hui biao zheng te dian yan jiu [The characteristics of semantic and lexical representation of Tibetan-Chinese bilinguals]. Studies of Psychology and Behavior, 13(6), 737743.Google Scholar
Gelman, R., & Butterworth, B. (2005). Number and language: how are they related? Trends in Cognitive Sciences, 9(1), 610. https://doi.org/10.1016/j.tics.2004.11.004CrossRefGoogle ScholarPubMed
Gordon, P. (2004). Numerical cognition without words: Evidence from Amazonia. Science, 306(5695), 496499.CrossRefGoogle ScholarPubMed
Groot, A. M., Dannenburg, L., & Vanhell, J. G. (1994). Forward and backward word translation by bilinguals. Journal of Memory and Language, 33(5), 600629.Google Scholar
Groot, A. M., & Nas, G. L. (1991). Lexical representation of cognates and noncognates in compound bilinguals. Journal of Memory and Language, 30, 90123.CrossRefGoogle Scholar
Grosjean, F. (2001). The bilingual’s language modes. In Nicol, J. (Ed.), One mind, two languages: Bilingual language processing (pp. 125). Blackwell.Google Scholar
Hua, L. (2020). ji yu gao kao shi jiao de MHK (san ji) shi juan yu han yu wen shi juan de dui bi fen xi [Comparative analysis of MHK (level 3) test paper and Chinese test paper based on college entrance examination perspective]. Master’s thesis, Inner Mongolia Normal University. China National Knowledge Infrastructure. https://doi.org/10.27230/d.cnki.gnmsu.2020.001020CrossRefGoogle Scholar
Kirsner, K., Smith, M. C., Lockhart, R. S., King, M., & Jain, M. (1984). The bilingual lexicon: Language-specific units in an integrated network. Journal of Verbal Learning and Verbal Behavior, 23, 519539.CrossRefGoogle Scholar
Klein, H. (2021). Exact number representations in first and second language. In Diversity dimensions in mathematics and language learning (pp. 183199). De Gruyter.CrossRefGoogle Scholar
Kolers, P. A. (1963). Interlingual word associations. Journal of Verbal Learning and Verbal Behavior, 2, 291300.CrossRefGoogle Scholar
Kroll, J. F., & Stewart, E. (1994). Category interference in translation and picture naming: Evidence for asymmetric connections between bilingual memory representations. Journal of Memory and Language, 33, 149174.CrossRefGoogle Scholar
Li, L., Mo, L., Wang, R. M., & Luo, X. Y. (2006). Fei shu lian zhong -ying shuang yu zhe kua yu yan zhang shi zhong fu qi dong xiao ying [The effect of cross-language repetition priming in less proficient Chinese-English bilinguals]. Acta Psychologica Sinica, 38(5), 672680.Google Scholar
Li, Y., & Li, M. (2019). Er yu shui ping dui cang -han shuang yu zhe xin li ci hui yu yi biao zheng ying xiang de ERP yan jiu [An ERP study on the influence of L2 proficiency on the semantic representation of Tibetan-Chinese bilingual mental Lexicon]. Foreign Languages Research, 36(03), 4248.Google Scholar
Marsh, L. G., & Maki, R. H. (1976). Efficiency of arithmetic operations in bilinguals as a function of language. Memory & Cognition, 4, 459464.CrossRefGoogle ScholarPubMed
McClain, L., & Huang, J. Y. S. (1982). Speed of simple arithmetic in bilinguals. Memory & Cognition, 10, 591596.CrossRefGoogle Scholar
McCloskey, M. (1992). Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia. Cognition, 44, 107157.CrossRefGoogle ScholarPubMed
McCloskey, M., & Macaruso, P. (1995). Representing and using numerical information. The American Psychologist, 50(5), 351363.CrossRefGoogle ScholarPubMed
McCloskey, M., Sokol, S. M., & Goodman, R. A. (1986). Cognitive processes in verbal-number production: Inferences from the performance of brain-damaged subjects. Journal of Experimental Psychology: General, 115, 307330.CrossRefGoogle ScholarPubMed
Meyer, D. E., & Ruddy, M. G. (1974). Bilingual word recognition: Organization and retrieval of alternative lexical codes. Paper presented at the meeting of the Eastern Psychological Association, Philadelphia.Google Scholar
Meyer, D.E., & Schvaneveldt, R.W. (1971). Facilitation in recognizing pairs of words: evidence of a dependence between retrieval operations. Journal of Experimental Psychology, 90(2), 227234.CrossRefGoogle ScholarPubMed
Mo, L., Li, L., & Wang, R. M. (2005). Shu lian zhong – ying shuang yu zhe kua yu yan zhang shi zhong fu qi dong xiao ying [Evidence for long-term cross-language repetition priming of the highly proficient Chinese-English bilinguals]. Psychological Science, 28(6), 12881293.Google Scholar
Pica, P., Lemer, C., Izard, V., & Dehaene, S. (2004). Exact and approximate arithmetic in an Amazonian indigene group. Science, 306(5695), 499503.CrossRefGoogle Scholar
Potter, M., So, K., Eckardt, B. V., & Feldman, L. (1984). Lexical and conceptual representation in beginning and proficient bilinguals. Journal of Verbal Learning and Verbal Behavior, 23, 2338.CrossRefGoogle Scholar
Pukelsheim, F. (1994). The three sigma rule. The American Statistician, 48(2), 8891.Google Scholar
Reynvoet, B., & Brysbaert, M. (1999). Single-digit and two-digit Arabic numerals address the same semantic number line. Cognition, 72, 191201.CrossRefGoogle ScholarPubMed
Scarborough, D., Cortese, C., & Scarborough, H. S. (1977). Frequency and repetition effects in lexical memory. Journal of Experimental Psychology: Human Perception and Performance, 3, 117.Google Scholar
Spaepen, E., Coppola, M., Spelke, E. S., Carey, S. E., & Goldin-Meadow, S. (2011). Number without a language model. Proceedings of the National Academy of Sciences, 108(8), 31633168.CrossRefGoogle ScholarPubMed
Spelke, E. S., & Tsivkin, S. (2001). Language and number: A bilingual training study. Cognition, 78(1), 4588.CrossRefGoogle ScholarPubMed
Wen, S. X., & Rabigul, B. (2006). Shu lian wei -han shuang yu zhe di er yu yan de gai nian biao zheng de te zheng [The feature of conceptual representation in the second language of proficient Uygur bilinguals]. Psychological Exploration, 29(04), 737743.Google Scholar
Zeelenberg, R., & Pecher, D. (2003). Evidence for long-term cross-language repetition priming in conceptual implicit memory tasks. Journal of Memory and Language, 49, 8094.CrossRefGoogle Scholar
Zhou, X., Bai, X., Shu, H., & Qu, Y. (1999). Fei yu yi xing ming ming zhang ai – yi ge ren zhi shen jing xin li xue de ge an yan jiu [Non-semantic anomia: a case study of a Chinese patient]. Journal of Psychological Science, 4, 289292.Google Scholar
Zhou, X., & Marslen-Wilson, W. (2000). The relative time course of semantic and phonological activation in reading Chinese. Journal of Experimental Psychology: Learning, Memory, and Cognition, 26(5), 12451265.Google ScholarPubMed