Semantic Networks in the Teaching of Mathematics
Keywords:
Semantic networks, mathematicl modeling, artificial intelligence, dynamic systems
Abstract
Traditionally, the teaching of mathematics has been a challenge for all those who, in one way or another, are committed to teach how to solve problems, particularly when a model that represents the solution of the problem in an abstract way must be generated. The aim of this paper is to present an alternative of mathematical modeling using semantic networks to obtain a graphical visualization of the relationships among the components of the problem to be modeled, to facilitate the reader understanding of how to build the mathematical model.
Downloads
Download data is not yet available.
References
Bobrow, D. G. (1968) "Natural Language Input for a Computer Problem-solving System", en M. Minsky B. (ed.) Semantic Information Processing. Cambridge, Mass: MIT Press, 146-226.
Clive L. Dym and Elizabeth S. Ivey. (1980) Principles of Mathematical Modeling. Academic Press.
Frank R. Giordano, Maurice D. Weir and William P. Fox. (2003.) First Course in Mathematical Modelling. Thomson.
Genesereth, M. R. & J. Nilsson (1987) Logical Foundations of Artificial Intelligence. San Mateo, California: Morgan Kaufmann.
Joseph W. Jerome. (1998) Modelling and computation for Applications in Mathematics, Science, and Engineering. Clarendon Press Oxford.
Minsky M. (1974) A Framework for Representing Knowledge. MIT-AI Laboratory Memo 306.
Quillian, R. (1968) “Semantic memory” in Semantic Information Processing, M. Minsky (Ed), MIT Press, Cambridge, Mass.
Raphael, B. (1968) “A Computer Program for Semantic Information Retrieval” in Semantic Information Processing, M. Minsky (Ed), MIT Press, Cambridge, Mass.
Shapiro, S.C. & G. H. Woddmansee (1971) "A Net Structured Based Relational Question-Answerer", Proceedings International Joint Conference on AI. Washington DC, 325-346.
Shastri, L. (1988) Semantic Networks: An Evidential Formalization and Its Connectionist Realization. Los Altos, California: Morgan Kaufmann.
Simmons, R. F. (1973). "Semantic Networks: Their Computation and Use for Understanding English Sentences."
Schank R and Colby K. (Eds.) Computer Models of Thought and Language. San Francisco: W. H. Freeman.
Sowa, J. F. (1984) Conceptual Structures: Information Processing in Mind and Machine. Reading, Mass: Addison-Wesley.
Winograd, T. (1972) Understanding Natural Language. New York: Academic Press.
Winograd, T. (1975) "Frames and the Procedural-Declarative Controversy", en D. G. Winston, P. H. (1977) Artificial Intelligence. Reading, Mass: Addison Wesley.
Clive L. Dym and Elizabeth S. Ivey. (1980) Principles of Mathematical Modeling. Academic Press.
Frank R. Giordano, Maurice D. Weir and William P. Fox. (2003.) First Course in Mathematical Modelling. Thomson.
Genesereth, M. R. & J. Nilsson (1987) Logical Foundations of Artificial Intelligence. San Mateo, California: Morgan Kaufmann.
Joseph W. Jerome. (1998) Modelling and computation for Applications in Mathematics, Science, and Engineering. Clarendon Press Oxford.
Minsky M. (1974) A Framework for Representing Knowledge. MIT-AI Laboratory Memo 306.
Quillian, R. (1968) “Semantic memory” in Semantic Information Processing, M. Minsky (Ed), MIT Press, Cambridge, Mass.
Raphael, B. (1968) “A Computer Program for Semantic Information Retrieval” in Semantic Information Processing, M. Minsky (Ed), MIT Press, Cambridge, Mass.
Shapiro, S.C. & G. H. Woddmansee (1971) "A Net Structured Based Relational Question-Answerer", Proceedings International Joint Conference on AI. Washington DC, 325-346.
Shastri, L. (1988) Semantic Networks: An Evidential Formalization and Its Connectionist Realization. Los Altos, California: Morgan Kaufmann.
Simmons, R. F. (1973). "Semantic Networks: Their Computation and Use for Understanding English Sentences."
Schank R and Colby K. (Eds.) Computer Models of Thought and Language. San Francisco: W. H. Freeman.
Sowa, J. F. (1984) Conceptual Structures: Information Processing in Mind and Machine. Reading, Mass: Addison-Wesley.
Winograd, T. (1972) Understanding Natural Language. New York: Academic Press.
Winograd, T. (1975) "Frames and the Procedural-Declarative Controversy", en D. G. Winston, P. H. (1977) Artificial Intelligence. Reading, Mass: Addison Wesley.
Published
2014-07-05
How to Cite
González Hernández, M., Tarasenko, A., & Karelin, O. (2014). Semantic Networks in the Teaching of Mathematics. Pädi Boletín Científico De Ciencias Básicas E Ingenierías Del ICBI, 2(3). https://doi.org/10.29057/icbi.v2i3.520
Section
Research papers
