The Role of Mathematical Definitions in Mathematics

Authors(1) :-M.M.Thumar

The central focus of teaching mathematics is solving problems via definitions and concern results. Problem solving is not a distinct topic, but a process that should be a focus for learning Mathematical definitions and hence in proof of results. Definitions play a key role in mathematics, but their creation and use differs from those of "everyday language" definitions. Mathematical definitions are of fundamental importance in the axiomatic formation that characterizes mathematics. Mathematics students into the field of mathematics includes their getting and of the role of mathematical definitions. Mathematical definitions have many features, some critical to their nature and others, while not necessary to the categorization of mathematical definitions, preferred by the mathematics community. Undergraduate mathematics studentsí have difficulties in writing formal mathematical proofs, weak understanding of logic and/or mathematical concepts due to Mathematical definitions. In this study we first discuss a structure for thinking about mathematical definitions derived from literature in the fields of mathematics. Next, we discuss research on student understanding and use of definition and on the role of definitions in the teaching of mathematics. Finally, we discuss the implications of this research and important educational decisions that should rule the use of mathematical in the teaching of mathematics.

Authors and Affiliations

M.M.Thumar
Assistant Professor, Sir P. P. Institute of Science, Department of Mathematics, M. K. Bhavnagar University, Bhavnagar, Gujarat, India

Mathematics, Mathematical Definition

  1. An undergraduate student's understanding and use of mathematical definitions in real analysis. In J. Dossey, J. Swafford, M. Parmantie, A. Dossey (Eds.), Proceedings of the Nineteenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 1, 17-22.
  2. DeVilliers, M.(1998). To teach definitions in geometry or teach to define? In A. Olivier & K. New stead,† Proceedings of the Annual Meeting of the International Group for the Psychology of Mathematics Education, 2, 248-25 5.
  3. Class work of my m.sc. Study†† by Dr .m.h. vasavda (Retired professor of mathematics, department of†† mathematics, sardar Patel university 1989-91&1991-92)
  4. Edwards, B. (1997a). Undergraduate mathematics majors/understanding and use of formal definitions in real analysis.

Publication Details

Published in : Volume 1 | Issue 1 | 2014
Date of Publication : 2014-12-31
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 59-62
Manuscript Number : IJSRSET1738151
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

M.M.Thumar, " The Role of Mathematical Definitions in Mathematics, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 1, Issue 1, pp.59-62, -2014.
Journal URL : http://ijsrset.com/IJSRSET1738151

Article Preview

Follow Us

Contact Us