Abstract
In this paper, I will outline a diagram-based proposal for teaching propositional logic, as well as the reasons that led me to it. The paper is divided into three sections. In the first section I introduce, and try to justify, the hypothesis that processes like thinking, reasoning or speaking are intimately connected with the process of constructing what we see. The second section presents a criticism of the didactic ideas underlying the trend of modern mathematics in countries like France and the U.S.A. The final section is devoted to the schematic presentation of the specific diagram-based approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lakoff, G., Johnson, M.: Metaphors we live by. University of Chicago Press, Chicago (1980)
Gattis, M. (ed.): Spatial Schemas and Abstract Thought. The MIT Press, Cambridge (2001)
Pinker, S.: Learnability and cognition: the acquisition of argument structure. The MIT Press, Cambridge (1989)
Hoffman, D.D.: Visual intelligence: how we create what we see. W.W. Norton & Company, New York (2000)
Pylyshyn, Z.W.: The Imagery debate: Analogue Media Versus Tacit Knowledge. Psychological Review 88(1), 16–45 (1981)
Shepard, R.N.: The Mental Image. American Psychologist, 125–137 (February 1978)
Giaquinto, M.: Visual Thinking in Mathematics. An Epistemological Study. Oxford University Press, Oxford (2007)
Mancosu, P., Jorgensen, K.F. (eds.): Visualization, explanation and reasoning styles in mathematics. Springer, Heidelberg (2005)
Dehaene, S.: The number sense. How The Mind Creates Mathematics. Oxford University Press, Oxford (1997)
Kline, M.: El fracaso de la matemática moderna. Siglo XXI de España editores (1984)
Hammer, E.: Peircean Graphs for propositional Logic. In: Barwise, J., Allwein, G. (eds.) Logical Reasoning with Diagrams. Oxford University Press, Oxford (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
San Ginés, A. (2011). Visual Tools for Teaching Propositional Logic. In: Blackburn, P., van Ditmarsch, H., Manzano, M., Soler-Toscano, F. (eds) Tools for Teaching Logic. TICTTL 2011. Lecture Notes in Computer Science(), vol 6680. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21350-2_26
Download citation
DOI: https://doi.org/10.1007/978-3-642-21350-2_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21349-6
Online ISBN: 978-3-642-21350-2
eBook Packages: Computer ScienceComputer Science (R0)