Mathematical pathologies as pathways into creativity

被引:0
|
作者
Bharath Sriraman
Benjamin Dickman
机构
[1] University of Montana,Department of Mathematical Sciences
[2] The Hewitt School,Department of Mathematics
来源
ZDM | 2017年 / 49卷
关键词
Creativity; Convergent thinking; Divergent thinking; Heuristics; Lakatosian heuristics; Pathologies; Mathematical pathologies; Problem-posing;
D O I
暂无
中图分类号
学科分类号
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
收藏
页码:137 / 145
页数:8
相关论文
共 50 条
  • [1] Mathematical pathologies as pathways into creativity
    Sriraman, Bharath
    Dickman, Benjamin
    [J]. ZDM-MATHEMATICS EDUCATION, 2017, 49 (01): : 137 - 145
  • [2] Mathematical creativity or general creativity?
    Kattou, Maria
    Christou, Constantinos
    Pitta-Pantazi, Demetra
    [J]. PROCEEDINGS OF THE NINTH CONFERENCE OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME9), 2015, : 1016 - 1023
  • [3] The frontage of Creativity and Mathematical Creativity
    Nadjafikhah, Mehdi
    Yaftian, Narges
    [J]. 6TH INTERNATIONAL CONFERENCE ON UNIVERSITY LEARNING AND TEACHING (INCULT 2012), 2013, 90 : 344 - 350
  • [4] TEACHING FOR CREATIVITY: THE INTERPLAY BETWEEN MATHEMATICAL MODELING AND MATHEMATICAL CREATIVITY
    Gilat, Talya
    Amit, Miriam
    [J]. PROCEEDINGS OF THE 36TH CONFERENCE OF THE INTERNATIONAL GROUP FOR PSYCHOLOGY OF MATHEMATICS EDUCATION, VOL. 2: OPPORTUNITIES TO LEARN IN MATHEMATICS EDUCATION, 2012,
  • [5] Connecting mathematical creativity to mathematical ability
    Kattou, Maria
    Kontoyianni, Katerina
    Pitta-Pantazi, Demetra
    Christou, Constantinos
    [J]. ZDM-MATHEMATICS EDUCATION, 2013, 45 (02): : 167 - 181
  • [6] THE PSYCHOLOGY OF MATHEMATICAL CREATIVITY
    MUIR, A
    [J]. MATHEMATICAL INTELLIGENCER, 1988, 10 (01): : 33 - 37
  • [7] The characteristics of mathematical creativity
    Sriraman, Bharath
    [J]. ZDM-MATHEMATICS EDUCATION, 2009, 41 (1-2): : 13 - 27
  • [8] MATHEMATICAL CREATIVITY IN SCHOOLCHILDREN
    HAYLOCK, DW
    [J]. JOURNAL OF CREATIVE BEHAVIOR, 1987, 21 (01): : 48 - 59
  • [9] Pathways linking Aβ and tau pathologies
    LaFerla, Frank M.
    [J]. BIOCHEMICAL SOCIETY TRANSACTIONS, 2010, 38 : 993 - 995
  • [10] Palatogenesis Engineering, pathways and pathologies
    Levi, Benjamin
    Brugman, Samantha
    Wong, Victor W.
    Grova, Monica
    Longaker, Michael T.
    Wan, Derrick C.
    [J]. ORGANOGENESIS, 2011, 7 (04) : 242 - 254