[1] A. Robert and R. Schwargenberger, Research in teaching and learning mathematics at an advanced level, Advanced Mathematically Thinking, D. Tall, ed., Kluwer Academic Publishers, Dordrecht, Boston, London, 1991, pp. 127-139.
[2] E. Nardi, Mathematics undergraduate responses to semantic abbreviations, geometric images and math level abstraction in group theory, Educational Studies in Mathematics 43 (2000), 169-189.
[3] D. F. Almeida, Visual aspects of understanding group theory, Internat. J. Math. Ed. Sc. Tech. 30(2) (1999), 159-166.
[4] O. Hazzan and R. Zazkis, Reducing abstraction: the case of school mathematics, Educational Studies in Mathematics 58 (2005), 101-119.
[5] S. R. Campbell and R. Zazkis, Learning and Teaching Number Theory: Research in Cognition and Instruction, Ablex Publishing, 2002.
[6] M. J. Bardzel and K. M. Shannon, The Pas Galois triangle, Visualizing Abstract Algebra, Focus 22(3) (2002), 4-6.
[7] D. Cox, L. Little and D. O’Shea, Ideal, Varieties and Algorithms, 2nd ed., Springer-Verlag, New York, Inc., 1997.
[8] J. Rainbolt, Using GAP in an abstract algebra class, A. C. Hibbard and E. J. Maycock, eds., Innovations in Teaching Abstract Algebra, MAA, 2001.
[9] E. Keppelman and B. Webb, Finite group behavior, a software package for beginning group theory, 2000, Author’s preprint.
[10] J. Cannon and C. Playoust, Using the magma computer algebra system in a abstract algebra courses, Symbolic Computation 23 (1997), 459-484.
[11] A. Selden and J. Selden, Errors and misconceptions in college level theorem proving, Proceeding of the Second International Seminar on Misconceptions and Educational Strategies in Science and Mathematics, J. D. Novak, ed., Vol. 3, Cornell University, July 1987, pp. 457-470.
[12] O. Hazzan and U. Leron, Students use and misuse of mathematical theorem: the case of Lagrange’s theorem, For the Learning Mathematics 16(1) (1996), 23-26.
[13] U. Leron and E. Dubinsky, An abstract algebra story, Amer. Math. Monthly 102(3) (1995), 227-242.
[14] E. Dubinsky, J. Dautermann, U. Leron and R. Zazkis, On learning fundamental concepts of group theory, Educational Studies in Mathematics 27(3) (1994), 267-305
[15] J. Nicholson, The development and understanding of the concept of quotient group, Historia Mathematica 20 (1993), 68-88.
[16] K. Serpil, A study on teaching group and subgroup concepts, Journal of Qafqaz University Turkey (2006), 155-158. |