You are here


Journal Name:

Publication Year:

Author NameUniversity of Author
Abstract (2. Language): 
Set theory language is an essential prerequisite for the cognition of linear algebra concepts. Many difficulties of cognition in linear algebra may be explained by the lack of mastery of set theory concepts. In the paper, an in depth discussion of documented categories of difficulties originated from set theory is provided.



[1] BRENTON, L., and EDWARDS, G. T. Sets of Sets: A Cognitive Obstacle. The
College Mathematics Journal, 34, n1, 31-38, 2003.
[2] DOGAN-DUNLAP, H. Visual Instruction of Abstract Concepts for Non-major
Students. The International Journal of Engineering Education (IJEE), 20. n4,
671-676, 2003.
[3] DOGAN-DUNLAP, H. Lack of Set Theory-Relevant Prerequisite Knowledge.
International Journal of Mathematical Education in Science and Technology
(IJMEST). Vol. 37, No. 4, June 2006. pp. 401-410.
[4] DOGAN-DUNLAP, H. Linear Algebra Students’ Modes of Reasoning: Geometric
Representations. Linear Algebra and Its Applications (LAA), 432. pp. 2141-2159,
[5] DORIER, J., ROBERT, A., ROBINET, J., and ROGALSKI, M. The Obstacle of
Formalism in Linear Algebra. On the Teaching of Linear Algebra (Kluwer
Academic Publishers) Mathematics Education Library, 23, 85-124, 2000.
[6] DORIER, J., and ROBERT, A. On a Research Programme Concerning the Teaching
and Learning of Linear Algebra in the First Year of a French Science University.
International Journal of Mathematics Education in Science & Technology, 31,
Issue 1, 27-35, 2000.
[7] DORIER, J. and SIERPINSKA, A. Research into the Teaching and Learning of
Linear Algebra. In Derek Holton (Ed.) The Teaching and Learning of
Mathematics of University level. Kluwer Academic Publishers, DorDrecht, 255-
273, 2001.

Thank you for copying data from