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Sriraman, Bharath; Knott, Libby – Australian Senior Mathematics Journal, 2006
In set theory, one comes across the notion of "vacuous truth." A statement is vacuously true if it is true but does not quite say anything. The structure of a vacuously true statement is typically of the form: everything with property A also has property B, with the caveat being that there is nothing in property A. For instance one could…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Concepts, Elementary Education
Lee, Kyeonghwa; Sriraman, Bharath – Interchange: A Quarterly Review of Education, 2013
Eastern philosophies of education such as Confucianism and Taosim advocate the use of silence in the teacher-pupil tradition of pedagogy. We investigate contemporary classrooms in Korea, and study whether teachers in Korea today incorporate this method implicitly or explicitly in their classrooms. Empirical data in the form of video-taped…
Descriptors: Educational Philosophy, Mathematics Teachers, Mathematics Instruction, Constructivism (Learning)
Sriraman, Bharath; Dickman, Benjamin – ZDM: The International Journal on Mathematics Education, 2017
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…
Descriptors: Creativity, Mathematics Instruction, Heuristics, Mathematical Concepts
Sriraman, Bharath; Lesh, Richard – Mathematical Thinking & Learning: An International Journal, 2007
The name of Zoltan P. Dienes (1916- ) stands with those of Jean Piaget, Jerome Bruner, Edward Begle, and Robert Davis as a legendary figure whose work left a lasting impression on the field of mathematics education. Dienes' name is synonymous with the multibase blocks that he invented for the teaching of place value. Among numerous other things,…
Descriptors: Foreign Countries, Numbers, Number Concepts, Manipulative Materials
Sriraman, Bharath – Mathematics Educator, 2004
Mathematical creativity ensures the growth of mathematics as a whole. However, the source of this growth, the creativity of the mathematician, is a relatively unexplored area in mathematics and mathematics education. In order to investigate how mathematicians create mathematics, a qualitative study involving five creative mathematicians was…
Descriptors: Mathematics Achievement, Creativity, Cognitive Processes, Qualitative Research
Sriraman, Bharath – Australian Mathematics Teacher, 2004
This article is the sequel to the use of "Flatland" with beginning algebra students reported in Sriraman (2003). The use of "Flatland" with beginning algebra students resulted in the positive outcomes of cultivating critical thinking in the students as well as providing the teacher with the context necessary to introduce sophisticated mathematical…
Descriptors: Algebra, Critical Thinking, Learning Experience, Geometry