Young students' readiness for advanced math: Precocious abstract reasoning

被引:5
作者
Ablard, KE
Tissot, SL
机构
[1] Johns Hopkins Univ, Inst Acad Advancement Youth, Baltimore, MD 21218 USA
[2] Amer Inst Res, Pelavin Res Ctr, Washington, DC 20007 USA
关键词
D O I
10.1177/016235329802100205
中图分类号
G76 [特殊教育];
学科分类号
040109 ;
摘要
Academically talented students have precocious reasoning abilities and ale ready for advanced moth earlier than when it is typically offered. This study examined above-grade-level abstract reasoning abilities of 150 students ranging from 2nd-6th grades. Based on chi-square analyses, the distribution of students' scores on the Arlin Test of Formal Reasoning (Arlin, 1982, 1984) was not significantly different from distributions for a normative group of students four grade levels higher. An Age Level by Gender MANOVA revealed that understanding of various abstract concepts varied by age for only 4 of 8 subscales or concepts: Probability, Proportion, Momentum, and Frames of References. Performance varied widely within age level for the understanding of Volume, Correlation, Combination, and Mechanics. There may not be one age at which children acquire abstract reasoning and ale ready for advanced mathematics.
引用
收藏
页码:206 / 223
页数:18
相关论文
共 39 条
[1]  
[Anonymous], 1992, J EDUC GIFTED, DOI DOI 10.1177/016235329201500203
[3]  
ARLIN PK, 1984, ARLIN TEST FORMAL RE
[4]  
ARMSTRONG DC, 1989, J EDUC GIFTED, V12, P277, DOI DOI 10.1177/016235328901200404
[5]   DIAGNOSING KNOWLEDGE STATES IN ALGEBRA USING THE RULE-SPACE MODEL [J].
BIRENBAUM, M ;
KELLY, AE ;
TATSUOKA, KK .
JOURNAL FOR RESEARCH IN MATHEMATICS EDUCATION, 1993, 24 (05) :442-459
[6]   A COMPARISON OF THE RELATIVE VALIDITY OF A MEASURE OF PIAGETIAN COGNITIVE-DEVELOPMENT AND A SET OF CONVENTIONAL PROGNOSTIC MEASURES IN THE PREDICTION OF THE FUTURE SUCCESS OF 9TH-GRADE AND 10TH-GRADE STUDENTS IN ALGEBRA [J].
BLOLAND, RM ;
MICHAEL, WB .
EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1984, 44 (04) :925-943
[7]  
BRODY LE, 1991, ACAD ACCELERATION GI, P102
[8]   ACQUISITION OF FORMAL OPERATIONS BY INTELLECTUALLY GIFTED-CHILDREN [J].
CARTER, KR ;
ORMROD, JE .
GIFTED CHILD QUARTERLY, 1982, 26 (03) :110-115
[9]  
CARTER KR, 1985, ROEPER REV, V7, P180
[10]  
Daniel N., 1988, FLEXIBLE PACING ABLE