HOW DO PROPORTIONAL AND ADDITIVE METHODS DEVELOP ALONG PRIMARY AND SECONDARY SCHOOL?

被引:0
作者
Fernandez, Ceneida [1 ]
Llinares, Salvador [1 ]
Van Dooren, Wim
De Bock, Dirk
Verschaffel, Lieven
机构
[1] Univ Alicante, Alicante, Spain
来源
PME 34 BRAZIL: PROCEEDINGS OF THE 34TH CONFERENCE OF THE INTERNATIONAL GROUP FOR THE PSYCHOLOGY OF MATHEMATICS EDUCATION, VOL 2: MATHEMATICS IN DIFFERENT SETTINGS | 2010年
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中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
This study focuses on the transition from additive to multiplicative (proportional) reasoning. In particular, it investigates simultaneously two phenomena that have been studied isolated during the last years: the development from primary to secondary school of the use of additive methods in proportional situations and the use of proportional methods in additive situations. Our findings indicate that while the over-use of additive methods in proportional situations increased during primary school and decreased during secondary school, the over-use of proportional methods in additive situations increased along primary and secondary school. The presence or absence of integer ratios strongly affects this behaviour but the nature of quantities only has a small influence in the use of proportional methods.
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页码:353 / +
页数:3
相关论文
共 12 条
[1]   Development of proportional reasoning: Where young children go wrong [J].
Boyer, Ty W. ;
Levine, Susan C. ;
Huttenlocher, Janellen .
DEVELOPMENTAL PSYCHOLOGY, 2008, 44 (05) :1478-1490
[2]  
DEBOCK D, 2007, ILLUSION LINEARITY F
[3]  
Fernández C, 2009, PME CONFERENCE PROCE, V3, P25
[4]   Copying and Evolution of Neuronal Topology [J].
Fernando, Chrisantha ;
Karishma, K. K. ;
Szathmary, Eoers .
PLOS ONE, 2008, 3 (11)
[5]  
Hart K., 1981, Children's understanding of mathematics, P11
[6]   The development of proportional reasoning: Effect of continuous versus discrete quantities [J].
Jeong, Yoonkyung ;
Levine, Susan C. ;
Huttenlocher, Janellen .
JOURNAL OF COGNITION AND DEVELOPMENT, 2007, 8 (02) :237-256
[7]  
Karplus R., 1983, Acquisition of Mathematics Concepts and Processes, P45
[8]   Students' improper proportional reasoning: A result of the epistemological obstacle of "linearity" [J].
Modestou, Modestina ;
Gagatsis, Athanasios .
EDUCATIONAL PSYCHOLOGY, 2007, 27 (01) :75-92
[9]  
Tourniaire F., 1985, Ed. Stud. Math, V16, P181, DOI [DOI 10.1007/PL00020739, 10.1007/BF02400937, DOI 10.1007/BF02400937]
[10]   Not everything is proportional: Effects of age and problem type on propensities for overgeneralization [J].
Van Dooren, W ;
De Bock, D ;
Hessels, A ;
Janssens, D ;
Verschaffel, L .
COGNITION AND INSTRUCTION, 2005, 23 (01) :57-86