Mathematical pathologies as pathways into creativity

被引：16

作者：

Sriraman, Bharath ^{[1
]}

Dickman, Benjamin ^{[2
]}

机构：

[1] Univ Montana, Dept Math Sci, Missoula, MT 59812 USA

[2] Hewitt Sch, Dept Math, New York, NY USA

来源：

ZDM-MATHEMATICS EDUCATION | 2017年 / 49卷 / 01期

关键词：

Creativity; Convergent thinking; Divergent; thinking; Heuristics; Lakatosian heuristics; Pathologies; Mathematical pathologies; Problem-posing;

D O I：

10.1007/s11858-016-0822-8

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

In this paper, the role of mathematical pathologies as a means of fostering creativity in the classroom is discussed. In particular, it delves into what constitutes a mathematical pathology, examines historical mathematical pathologies as well as pathologies in contemporary classrooms, and indicates how the Lakatosian heuristic can be used to formulate problems that illustrate mathematical pathologies. We discuss the relationship between mathematical pathologies and their role in fostering creativity. The paper concludes with remarks on mathematical pathologies from the perspective of creativity studies at large.

引用

页码：137 / 145

页数：9

共 37 条

[11] Csikszentmihalyi M., 1999, HDB CREATIVITY, P313, DOI [DOI 10.1017/CBO9780511807916.018, 10.1017/cbo9780511807916.018]
[12] Davis P. J., 1981, The Mathematical Experience
[13] The Effect of Using the Lakatosian Heuristic Method to Teach the Surface Area of a Cone on Students' Achievement According to Bloom's Taxonomy Levels
Dimitriou-Hadjichristou, Chrysoula
Ogbonnaya, Ugorji I.
[J]. AFRICAN JOURNAL OF RESEARCH IN MATHEMATICS SCIENCE AND TECHNOLOGY EDUCATION, 2015, 19 (02) : 185 - 198
[14] SOME SOCIAL CHARACTERISTICS OF MATHEMATICIANS AND THEIR WORK
FISHER, CS
[J]. AMERICAN JOURNAL OF SOCIOLOGY, 1973, 78 (05) : 1094 - 1118
[15] Guilford J.P., 1959, CREATIVITY ITS CULTI, P142, DOI DOI 10.1177/000271626133500177
[16] Haylock D.W., 1987, Education Studies in Mathematics, V18, P59, DOI 10.1007/BF00367914
[17] Hersh R., 2014, EXPERIENCING MATH
[18] THE CROSS OF MATHEMATICIANS - THE EUCLIDEAN THEORY OF IRRATIONAL LINES
KNORR, W
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 9 (01) : 41 - 69
[19] Rational diameters and the discovery of incommensurability
Knorr, WR
[J]. AMERICAN MATHEMATICAL MONTHLY, 1998, 105 (05) : 421 - 429
[20] MATHEMATICS AND THE EXTERNAL WORLD - AN INTERVIEW WITH FOMENKO,A.T.
KOBLITZ, N
KOBLITZ, A
[J]. MATHEMATICAL INTELLIGENCER, 1986, 8 (02) : 8 - &

← 1 2 3 4 →