Anderson, J. R. (1993). *Rules of the mind*. Hillsdale, N.J.: Lawrence Erlbaum Associates, Publishers.

Bloom, B. S. (1956). *Taxonomy of educational objectives, handbook I: The cognitive domain*. N.Y.: David McKay Co, Inc.

Bradshaw, J. L. & Nettleton, N. C. (1981). The nature of hemispheric specialization in man. *The Behavioural and Brain Sciences, 7*, 51–91.

Byers, V. & Herscovics, N. (1978). Understanding school mathematics.* Mathematics Teaching 81*.

Carlson, M. P. & Bloom, I. (2005). The cyclic nature of problem solving: An emergent multidimensional problem-solving framework.

*Educational Studies in Mathematics, 58*, 45–75.

CrossRefCarpenter, T. P., Fennema, E. & Romberg, T. A. (Eds.) (1992). *Rational numbers: An integration of research*. Hillsdale, N.J.: Lawrence Erlbaum Associates, Publishers.

Charles, D. (2001). Wittgenstein’s builders and Aristotle’s craftsmen. In Charles, D. & Child, W. (Eds.), *Wittgensteinian themes*. (pp. 49–79). Oxford: Clarendon Press.

Churchland, P. & Churchland, P. S. (1990). Could a machine think? *Scientific American, 262*, 32–39.

Dave, R. H. (1975). *Developing and writing behavioural objectives*. N.Y.: Educational Innovators Press.

Davis, P. J. & Hersh, R. (1984). *The mathematical experience*. N.Y.: Penguin Books.

Dehaene, S. (1997). *The number sense: How the mind creates mathematics*. N. Y.: Penguin Books.

Drossos, C. (1987). Cognition, mathematics and synthetic reasoning. General Seminar of Mathematics 13, 107–151. Edited by Department of Mathematics, University of Patras, Greece. (2nd revised edition 2006).

Entrekin, V. S. (1992). Mathematical mind mapping. *The Mathematics Teacher, 85*(6), 444–445.

Eysenck, M. W. & Keane, M. T. (2000). *Cognitive psychology*. Philadelphia, PA: Psychology Press/Tailor & Francis.

Fennema, E. & Romberg, T. A. (Eds.) (1999). *Mathematics classrooms that promote understanding*. Mahwah, NJ: Lawrence Erlbaum Associates.

Gavalas, D. (1999). A four-sided view of ‘function’. *For the Learning of Mathematics, 19*(2), 38–41

Gavalas, D. (2000). Study of the ‘Teaching System’ according to systems theory.

*International Journal of Mathematical Education in Science and Technology, 31*(2), 261–268.

CrossRefGentner, D. & Markman, A. (1997). Structure mapping in analogy and similarity.

*American sychologist, 52*(1), 45–56.

CrossRefGrenander, U. (1997). Geometries of knowledge.

*Proceedings of the National Academy of Sciences of the United States America, 94*, 783–789.

CrossRefGrouws, D. A. (Ed.) (1997). *Handbook on research on mathematics teaching and learning*. N.Y.: Simon and Schuster Macmillan.

Harrison, D. (1999). The Searle workout: Connectionism hits the Chinese gym. http://gort.ucsd.edu/newjour/c/msg02500.html.

Hasemann, K. & Mansfield, H. (1995). Concept mapping in research on mathematical knowledge development: Background, methods, findings and conclusions. *ESM, 29*, 45–72.

Hauser, L. (1996). The Chinese room argument. The Internet Encyclopaedia of Philosophy. www.utm.edu/research/iep.

Hegel, G. W. F. (1969).* Science of logic*. Trans. A. V. Miller. London: Allen & Unwin; repr. Atlantic Highlands, N.J.: Humanities Press, 1993. (Translation of Hegel (1812–1816)).

Heylighen, F. & Joslyn, C. (1992). What is systems theory? Edited by Cambridge Dictionary of Philosophy, Cambridge University Press.

Holland J.H. et al (1986).* Induction: Processes of inference. Learning and discovery*. Cambridge, Mass: MIT Press.

Jung, C. G.:* The collected works*. 20 vols. Bollingen Series XX. Translated by R. F. C. Hull, edited by H. Read, M. Fordham, G. Adler, and Wm. McGuire. Princeton N.J.: Princeton University Press (1953–1979).

Kim, J. (1996). *Philosophy of mind*. Boulder, Colorado: Westview Press.

Kofman, F. & Senge, P. (1995). Communities of commitment: The heart of learning organizations. In Chawla & Reneschs (Eds.), *Learning organizations: Developing cultures for tomorrow’s workplace* (pp. 14–43). Portland, Oregon: Productivity Press.

Krathwohl, D., Bloom, B., & Masia, B. (1956). *Taxonomy of educational objectives, Handbook II: Affective domain*. N. Y.: David McKay.

Krathwohl, D. R., Bloom, B. S., & Bertram, B. M. (1973). *Taxonomy of educational objectives, the classification of educational goal. Handbook II: Affective domain*. New York: David McKay Co., Inc.

Lawvere, F. W. (1976). Variable quantities and variable structures in Topoi.* In algebra, topology and category theory: A collection of papers in honour of S. Eilenberg* (pp. 101–131). N.Y.: Academic press.

Lawvere, F. W. & Schanuel, S. H. (2001). *Conceptual mathematics: A first introduction to categories*. Cambridge, UK: Cambridge University Press.

Lester, F. K. (1994). Musings about mathematical problem solving research: 1970–1994.

*Journal for Research in Mathematics Education, 25*, 660–675.

CrossRefMac Lane, S. (1986).*Mathematics: Form and function* N.Y.: Springer-Verlag.

Mayer, R. E. (1992).*Thinking, problem solving, cognition*. N.Y.: Freeman & Co.

NCTM (2000). *Principals and standards for school mathematics*. Reston, VA.

Piaget, J. (1978). *Judgment and reasoning in the child*. London: Routledge and Kegan Paul.

Rey, G. (1997). *Contemporary philosophy of mind*. Cambridge, MA: Blackwell.

Rosenbloom, P. S. et al. (1993). *The soar papers: Research on integrated intelligence*. Cambridge, Mass.: MIT Press.

Rucker, R. (1988). *Mind tools: The mathematics of information*. N.Y.: Penguin Books.

Searle, J. (1980). Minds, brains and programs. *The Behavioural and Brain Sciences, 3*, 417–457.

Searle, J. (1984). *Minds, brains and science*. Cambridge, MA: Harvard University Press.

Searle, J. (1989). Reply to Jacquette.

*Philosophy and Phenomenological Research, XLIX*, 701–708.

CrossRefSearle, J. (1990). Is the brain’s mind a computer program?

*Scientific American, 262*, 26–31.

CrossRefSenge, P. et al. (2003). *Schools that learn*. London: Nicholas Brealey Publishing.

Shoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition and sense-making in mathematics. In D. A. Grouws (Ed.),* Handbook for research on mathematics teaching and learning*. (pp. 334–370). N.Y.: Macmillan Publishing Co.

Simpson E. J. (1972).* The classification of educational objectives in the psychomotor domain*. Washington, DC: Gryphon House.

Skemp, R. R. (1972). *The psychology of learning mathematics* N.Y.: Penguin Books.

Skemp, R. R. (1976). Relational understanding and instrumental understanding. *Mathematics Teaching, 77*, 20–26.

Skemp, R. (1987). *The psychology of learning mathematics*. Hillsdale, N.J.: Lawrence Erlbaum Associates, Publishers.

Sterenly, K. (1990). *The representational theory of mind*. Cambridge, MA: Blackwell.

Tall, D. O. (1978). The dynamics of understanding mathematics. *Mathematics Teaching, 81*, 50–52.

Tall, D. & Thomas, M. (Eds.) (2002).* Intelligence, learning and understanding in mathematics: a tribute to Richard Skemp*. Post Pressed, Teneriffe, Brisbane.

Vygotsky, L. S. (1978). *Mind in society: The development of higher psychological processes*. Cambridge: Harvard University Press.

Wilson, P. S. (Ed.) (1993). *Research ideas for the classroom: High school mathematics*. N.Y.: Macmillan Publishing Company.

Yalom, I. (2002). Religious and psychotherapy.* American Journal of Psychotherapy 3*.

Zeleke, A. & Lee, C. (2002). On students’ conceptual understanding of ‘variation’ in introductory statistics. www.hicstatistics.org/2003StatsProceedings/Akilulu%20Zeleke.pdf.