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題名：分數的數量表徵
書刊名：心理科學進展
作者：孫玉／司繼偉／黃碧娟
作者(外文)：Sun, Yu／Si, Jiwei／Huang, Bijuan
出版日期：2016
卷期：2016(8)
頁次：1207-1216
主題關鍵詞：分數；數量表徵；成分表徵；整體表徵；Fraction；Magnitude representation；Componential representation；Holistic representation
原始連結：連回原系統網址new window
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分數數量表徵已成為當前數學認知研究的重要主題之一。基於該領域近10年來的研究發現,總結了分數數量表徵研究的新進展。首先概述分數數量表徵的發展,然後著重介紹分數數量的不同表徵方式並系統分析制約數量表徵的任務及背景因素。此外,還深入探究了分數數量表徵與整數、小數數量表徵的區別與聯系。未來研究者應注意在分數數量表徵的個體差異、跨文化以及干預等方面加強考察。
Magnitude representation of fraction has become one of key issues in contemporary mathematical cognition field. Based on the latest ten-year studies, some new developments of investigations in fraction magnitude representation were reviewed. First, it was summarized how magnitude representation of fraction developed. Then the different fraction magnitude representations were introduced, and some tasks and background factors that affected magnitude representation of fraction were systematically analyzed. In addition, the relationships and differences between magnitude representation of fraction and whole number or decimal fraction were also explored. Future researchers should pay more attentions to individual differences in fraction representation, and cross-cultural investigations and other intervention aspects to strengthen the understandings on fraction representation.
期刊論文
1.Siegler, Robert S.、Ramani, Geetha B.(2009)。Playing Linear Number Board Games--But Not Circular Ones--Improves。Journal of Educational Psychology，101(3)，545-560。  new window
2.Bailey, D. H.、Hoard, M. K.、Nugent, L.、Geary, D. C.(2012)。Competence with fractions predicts gains in mathematics achievement。Journal of Experimental Child Psychology，113(3)，447-455。  new window
3.Xu, F.、Arriaga, R. I.(2007)。Number discrimination in 10-month-old infants。British Journal of Developmental Psychology，25(1)，103-108。  new window
4.Siegler, R. S.、Booth, J. L.(2004)。Development of numerical estimation in young children。Child Development，75(2)，428-444。  new window
5.Stafylidou, S.、Vosniadou, S.(2004)。The development of students' understanding of the numerical value of fractions。Learning and Instruction，14(5)，503-518。  new window
6.Booth, J. L.、Siegler, R. S.(2006)。Developmental and individual differences in pure numerical estimation。Developmental Psychology，42(1)，189-201。  new window
7.Laski, E. V.、Siegler, R. S.(2007)。Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison。Child Development，78(6)，1723-1743。  new window
8.陳敏、王琦、張麗(2013)。情境對分數和小數影響的ERP研究。心理研究，6(3)，29-38。  延伸查詢new window
9.陳英和(2015)。兒童數量表徵與數概念的發展特點及機制。心理發展與教育，31(1)，21-28。  延伸查詢new window
10.劉春輝、辛自強(2010)。五~八年級學生分數概念的發展。數學教育學報，9(5)，59-63。  延伸查詢new window
11.盧淳、郭紅力、司繼偉、孫燕(2014)。不同數字綫下兒童與成人分數估計的表徵模式。心理發展與教育，30(5)，449-456。  延伸查詢new window
12.司繼偉(2012)。不同數感水平兒童的數學估計：錨定方式的影響。山東師範大學學報（人文社會科學版），57(3)，92-101。  延伸查詢new window
13.辛自強、李丹(2013)。小學生在非符號材料上的分數表徵方式。心理科學，36(2)，364-371。  延伸查詢new window
14.辛自強、劉春輝(2013)。數字線和離散物體任務訓練對兒童整數偏向的影響。心理科學，36(1)，78-85。  延伸查詢new window
15.楊伊生、劉儒德(2008)。兒童分數概念發展研究綜述。內蒙古師範大學學報（教育科學版），21(6)，130-134。  延伸查詢new window
16.張麗、盧彩芳、楊新榮(2014)。3~6年級兒童整數數量表徵與分數數量表徵的關係。心理發展與教育，30(1)，1-8。  延伸查詢new window
17.張麗、辛自強、王琦、李紅(2012)。整數構成對分數加工的影響。心理發展與教育，28(1)，31-38。  延伸查詢new window
18.Barraza, P.、Gómez, D. M.、Oyarzún, F.、Dartnell, P.(2014)。Long-distance neural synchrony correlates with processing strategies to compare fractions。Neuroscience Letters，567，40-44。  new window
19.Bonato, M.、Fabbri, S.、Umiltà, C.、Zorzi, M.(2007)。The mental representation of numerical fractions: Real or integer。Journal of Experimental Psychology: Human Perception and Performance，33(6)，1410-1419。  new window
20.Booth, J. L.、Newton, K. J.(2012)。Fractions: Could they really be the gatekeeper's doorman?。Contemporary Educational Psychology，37(4)，247-253。  new window
21.Cohen, D. J.(2010)。Evidence for direct retrieval of relative quantity information in a quantity judgment task: Decimals, integers, and the role of physical similarity。Journal of Experimental Psychology: Learning, Memory, Cognition，36(6)，1389-1398。  new window
22.Faulkenberry, T. J.、Montgomery, S. A.、Tennes, S. A. N.(2015)。Response trajectories reveal the temporal dynamics of fraction representations。Acta Psychologica，159，100-107。  new window
23.Faulkenberry, T. J.、Pierce, B. H.(2011)。Mental representations in fraction comparison。Experimental Psychology，58(6)，480-489。  new window
24.Fuchs, L. S.、Schumacher, R. F.、Long, J.、Namkung, J.、Hamlett, C. L.、Cirino, P. T.、Changas, P.(2013)。Improving at-risk learners' understanding of fractions。Journal of Educational Psychology，105(3)，683-700。  new window
25.Gabriel, F. C.、Szücs, D.、Content, A.(2013)。The mental representations of fractions: Adults' same-different judgments。Frontiers in Psychology，4，385。  new window
26.Ganor-Stern, D.(2012)。Fractions but not negative numbers are represented on the mental number line。Acta Psychologica，139(2)，350-357。  new window
27.Ganor-Stern, D.(2013)。Are 1/2 and 0.5 represented in the same way。Acta Psychologica，142(3)，299-307。  new window
28.Ganor-Stern, D.、Karasik-Rivkin, I.、Tzelgov, J.(2011)。Holistic representation of unit fractions。Experimental Psychology，58(3)，201-206。  new window
29.Gómez, D. M.、Jiménez, A.、Bobadilla, R.、Reyes, C.、Dartnell, P.(2015)。The effect of inhibitory control on general mathematics achievement and fraction comparison in middle school children。ZDM，47，801-811。  new window
30.Hecht, S. A.、Vagi, K. J.(2010)。Sources of group and individual differences in emerging fraction skills。Journal of Educational Psychology，102(4)，843-859。  new window
31.Huber, S.、Moeller, K.、Nuerk, H. C.(2014)。Adaptive processing of fractions: Evidence from eye-tracking。Acta Psychologica，148，37-48。  new window
32.Ischebeck, A.、Schocke, M.、Delazer, M.(2009)。The processing and representation of fractions within the brain: An fMRI investigation。NeuroImage，47(1)，403-413。  new window
33.Jacob, S. N.、Nieder, A.(2009)。Tuning to non-symbolic proportions in the human frontoparietal cortex。European Journal of Neuroscience，30(7)，1432-1442。  new window
34.Jacob, S. N.、Nieder, A.(2009)。Notation-independent representation of fractions in the human parietal cortex。Journal of Neuroscience，29(14)，4652-4657。  new window
35.Kallai, A. Y.、Tzelgov, J.(2012)。When meaningful components interrupt the processing of the whole: The case of fractions。Acta Psychologica，139，358-369。  new window
36.Liu, C. H.、Xin, Z. Q.、Lin, C. D.、Thompson, C. A.(2013)。Children's mental representation when comparing fractions with common numerators。Educational Psychology，33(2)，175-191。  new window
37.Matthews, P. G.、Chesney, D. L.(2015)。Fractions as percepts? Exploring cross-format distance effects for fractional magnitudes。Cognitive Psychology，78，28-56。  new window
38.Mazzocco, M. M. M.、Devlin, K. T.(2008)。Parts and 'holes': Gaps in rational number sense among children with vs. without mathematical learning disabilities。Developmental Science，11(5)，681-691。  new window
39.McCrink, K.、Wynn, K.(2007)。Ratio abstraction by 6-month-old infants。Psychological Science，18(8)，740-745。  new window
40.Meert, G.、Grégoire, J.、Noël, M. P.(2009)。Rational numbers: componential versus holistic representation of fractions in a magnitude comparison task。The Quarterly Journal of Experimental Psychology，62(8)，1598-1616。  new window
41.Meert, G.、Grégoire, J.、Noël, M. P.(2010)。Comparing the magnitude of two fractions with common components: Which representations are used by 10- and 12-year-olds?。Journal of Experimental Child Psychology，107(3)，244-259。  new window
42.Meert, G.、Grégoire, J.、Noël, M. P.(2010)。Comparing 5/7 and 2/9: Adults can do it by accessing the magnitude of the whole fractions。Acta Psychologica，135(3)，284-292。  new window
43.Ni, Y. J.、Zhou, Y. D.(2005)。Teaching and learning fraction and rational numbers: The origins and implications of whole number bias。Educational Psychologist，40(1)，27-52。  new window
44.Nieder, A.(2005)。Counting on neurons: The neurobiology of numerical competence。Nature Reviews Neuroscience，6(3)，177-190。  new window
45.Obersteiner, A.、Van Dooren, W.、Van Hoof, J.、Verschaffel, L.(2013)。The natural number bias and magnitude representation in fraction comparison by expert mathematicians。Learning and Instruction，28，64-72。  new window
46.Opfer, J. E.、Siegler, R. S.(2007)。Representational change and children's numerical estimation。Cognitive Psychology，55(3)，169-195。  new window
47.Ramani, G. B.、Siegler, R. S.(2008)。Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games。Child Development，79(2)，375-394。  new window
48.Schneider, M.、Siegler, R. S.(2010)。Representations of the magnitudes of fractions。Journal of Experimental Psychology: Human Perception and Performance，36(5)，1227-1238。  new window
49.Siegler, R. S.、Fazio, L. K.、Bailey, D. H.、Zhou, X. L.(2013)。Fractions: The new frontier for theories of numerical development。Trends in Cognitive Sciences，17(1)，13-19。  new window
50.Siegler, R. S.、Pyke, A. A.(2013)。Developmental and individual differences in understanding of fractions。Developmental Psychology，49(10)，1994-2004。  new window
51.Siegler, R. S.、Ramani, G. B.(2008)。Playing linear numerical board games promotes low-income children's numerical development。Developmental Science，11(5)，655-661。  new window
52.Siegler, R. S.、Thompson, C. A.、Schneider, M.(2011)。An integrated theory of whole number and fractions development。Cognitive Psychology，62(4)，273-296。  new window
53.Sprute, L.、Temple, E.(2011)。Representations of fractions: Evidence for accessing the whole magnitude in adults。Mind, Brain, and Education，5(1)，42-47。  new window
54.Stigler, J. W.、Giwin, K. B.、Thompson, B. J.(2010)。What community college developmental mathematics students understand about mathematics。Mathematic Educator，1(3)，4-16。  new window
55.Thompson, C. A.、Opfer, J. E.(2008)。Costs and benefits of representational change: Effects of context on age and sex differences in symbolic magnitude estimate。Journal of Expermental Child Psychology，101(1)，20-51。  new window
56.Thompson, C. A.、Opfer, J. E.(2010)。How 15 hundred is like 15 cherries: Effect of progressive alignment on representational changes in numerical cognition。Child Development，81(6)，1768-1786。  new window
57.Torbeyns, J.、Schneider, M.、Xin, Z. Q.、Siegler, R. S.(2015)。Bridging the gap: Fraction understanding is central to mathematics achievement in students from three different continents。Learning and Instruction，37，5-13。  new window
58.Wang, Y. Q.、Geng, F. J.、Hu, Y. Z.、Du, F. L.、Chen, F. Y.(2013)。Numerical processing efficiency improved in experienced mental abacus children。Cognition，127(2)，149-158。  new window
59.Zhang, L.、Fang, Q. C.、Gabriel, F. C.、Szücs, D.(2014)。The componential processing of fractions in adults and children: Effects of stimuli variability and contextual interference。Frontiers in Psychology，5，981。  new window
60.Zhang, L.、Wang, Q.、Lin, C. D.、Ding, C.、Zhou, X. L.(2013)。An ERP study of the processing of common and decimal fractions: How different they are。PLoS One，8(7)，e69487。  new window
61.Zhang, L.、Xin, Z. Q.、Li, F. H.、Wang, Q.、Ding, C.、Li, H.(2012)。An ERP study on the processing of common fractions。Experimental Brain Research，217(1)，25-34。  new window
62.Zhou, X. L.、Chen, Y.、Chen, C. S.、Jiang, T.、Zhang, H. C.、Dong, Q.(2007)。Chinese kindergartners' automatic processing of numerical magnitude in stroop-like tasks。Memory & Cognition，35(3)，464-470。  new window
會議論文
1.Faulkenberry, T. J.(2011)。Individual differences in mental representations of fraction magnitude。The 38th annual meeting of the research council on mathematics learning。Cincinnati, OH：RCML。136-143。  new window
2.Isotani, S.、McLaren, B. M.、Altaian, M.(2010)。Towards intelligent tutoring with erroneous examples: A taxonomy of decimal misconceptions。The 10th international conference on intelligent tutoring systems。Berlin Heidelberg：Springer。346-348。  new window
學位論文
1.郭紅力(2010)。小學高年級兒童的分數數量表徵(碩士論文)。山東師範大學，濟南。  延伸查詢new window
2.汪運起(2013)。兒童的分數和小數數量表徵及其發展(博士論文)。浙江大學，杭州。  延伸查詢new window
3.王琦(2012)。分數和小數數量表徵的符號特異性和非特異性(碩士論文)。西南大學。  延伸查詢new window
4.徐華(2011)。幼兒線性數量表徵的形成及其機制(博士論文)。北京師範大學。  延伸查詢new window
 
 
 
 
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