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Acta Psychologica Sinica    2017, Vol. 49 Issue (6) : 745-758     DOI: 10.3724/SP.J.1041.2017.00745
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 The overuse of proportional reasoning and its cognitive mechanism: A developmental negative priming study
 JIANG Ronghuan1; LI Xiaodong2
 (1 School of Psychology, Beijing Normal Universit, Beijing 100875, China) (2 College of Psychology and Sociology, Shenzhen University, Shenzhen 518060, China)
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Abstract   The overuse of proportional reasoning refers to a phenomenon that students improperly use proportional reasoning to solve non-proportional problems (e.g., addition problems in the present study). No research to date has directly illuminated the cognitive mechanism of the phenomenon since it is widely found in different countries and different ages. Therefore, we aimed to explore the potential cognitive mechanism in the current study from a new perspective based on the Inhibitory Control Model. The model suggests that solving a problem successfully not only requires the grasp of the underlying logic but also the inhibition of the misleading strategies. Accordingly, we proposed a hypothesis that the failure to inhibit the improper proportional thinking rather than the failure to grasp the additive logic would lead to students’ overuse of proportional reasoning since they may have already mastered additive thinking. We conducted three experiments with sixth-grade children, eighth-grade adolescents, and young adults (college students) to test this hypothesis using the Negative Priming (NP) paradigm. Participants performed a pair of problems: an addition problem in the prime stage, a proportion problem in the probe stage. The logic of NP paradigm is as follows: if participants inhibited the proportional strategy in the prime stage, they would pay a price to activate it in the subsequent probe stage as revealed by a slower response or a higher error rate. In experiment 1, we used missing-value word problems. For each test trial, an addition problem served as a prime and a proportion problem served as a probe; for each control trial, a neutral problem served as a prime and a proportion problem served as a probe. Participants’ performance was measured on the probe stage and their performance was compared between test-probes and control-probes. We found a NP effect in all the three age groups, but there was no significant difference among them. In experiment 2, we reduced task difficulty and cognitive load by creating a visual reasoning task and replicated the results in experiment 1. In experiment 3, we manipulated the number ratio (integer vs. non-integer) of the tasks, and the other conditions were the same as those we did in experiment 1 and experiment 2. Again, NP effects were found in missing-value word problem no matter number ratio was an integer or not. However, in the visual reasoning task, the NP effect only existed in the integer ratio condition. These results indicated: First, children, adolescents and adults all need inhibitory control to overcome the overuse of proportional reasoning. This confirms that success in problem-solving requires not only the grasp the underlying logic of the problem but also the inhibition of a misleading strategy. Second, the potential age difference in inhibitory control ability cannot be eliminated though we found no developmental difference in inhibitory control efficiency according to the magnitude of the NP effect in this study. More research with other methods (e.g., ERP, fMRI) is needed to shed light on this. These results also have important implication for mathematic education. Intervention program that aim at improving inhibitory control or meta-cognition ability for students with low math achievement should be considered.
Keywords  proportional reasoning      inhibitory control      negative priming      missing-value word problem      mathematics cognition     
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Corresponding Authors: LI Xiaodong, E-mail: lxd_psy@163.com      E-mail: E-mail: lxd_psy@163.com
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JIANG Ronghuan, LI Xiaodong.  The overuse of proportional reasoning and its cognitive mechanism: A developmental negative priming study[J]. Acta Psychologica Sinica,2017, 49(6): 745-758.
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http://journal.psych.ac.cn/xlxb/EN/10.3724/SP.J.1041.2017.00745     OR     http://journal.psych.ac.cn/xlxb/EN/Y2017/V49/I6/745
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[4] XIN Yong,LI Hong,YUAN Jia-Jin. Negative Emotion Interferes with Behavioral Inhibitory Control: An ERP Study[J]. , 2010, 42(03): 334-341.
[5] MA Xiao-Qing,FENG Ting-Yong,LI Yu,LI Hong. Children’s Development of Analogical Reasoning from the Perspective of Perceptual Distraction Task[J]. , 2008, 40(09): 987-993.
[6]

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[7] Wei Yonggang Wu Ruiming Li Hong Feng Tingyong Philip David Zelazo. Role of Inhibitory Control in Infants’ Executive Function and Theory of Mind[J]. , 2005, 37(05): 598-605.
[8] Han Shihui, Wang Chun, Zhou Lei. Global and Local Processing under Attended and Unattended Conditions[J]. , 2004, 36(04): 410-416.
[9] Wang Su,Li Li (Department of Psychology, Peking University, Beijing 100871). NEGATIVE PRIMING UNDER THE GLOBAL-LOCAL PARADIGM[J]. , 2002, 34(03): 3-8.
[10] Jin Zhicheng (Department of Psychology, South China Normal University, Guangzhou 510631) Zhang Yu, Gai Xiaosong (Department of Psychology, Northeast Normal University, Changchun 130024). COGNITIVE PROCESSING MECHANISM OF LEARNING DIFFICULTIES OF STUDENTS[J]. , 2002, 34(03): 9-14.
[11] Zhang Daren Zhang Pengyuan Chen Xiangchuan (Department of Biology & Cognitive Science Laboratory,Center for Brain Science, University of Science $ Technology of China,Hefei,Anhui,230026,P.R.China). THE EFFECT OF PERCEPTUAL LOAD ON INTERFERENCE AND NEGATIVE PRIMING[J]. , 1998, 30(01): 7-13.
[12] Zhang Yaxu Jin Zhicheng (Department of Psychology,Northeast Normal University,Changchun,130024). EXPERIMENTAL STUDY OF THE DISSOCIATIONS BETWEEN CONSCIOUS AND UNCONSCIOUS PROCESSES IN SELECTIVE ATTENTION[J]. , 1997, 29(01): 38-43.
[13] Li Yalin (Department of Psychology, South China Normal University, Guangzhou, 510631 ). A STUDY ON NEGATIVE PRIMING EFFECT IN SELECTIVE ATTENTION[J]. , 1996, 28(03): 245-251.
[14] Jin Zhicheng,Zhang Yaxu(Department of Psychology,Northeast Normal University). A STUDY ON NEGATIVE PRIMING EFFECT AND DISTRACTOR IDENTITY INHIBITION IN CATEGORIZATION TASK[J]. , 1995, 27(04): 344-349.
[15] Zhang Daren(Department of Biology &Cognitiue Science Laboratory,Uniuersity of Science & Technology of. China, Hefei,Anhui,230026,P.R.China)Morris Moscovitch(Department of Psychology,Erindale College,Uniuersity of Toronto). REVERSAL PRIMING EFFECT──A SELECTIVE ATTENTION APPROACH[J]. , 1994, 26(02): 141-146.
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