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8.3 Selected Bibliography
Albert, D., editor. (1994). Knowledge Structures.
New York: Springer-Verlag.
Albert, D. and Hockmeyer, C. (1997). Adaptive and dynamic hypertext
tutoring systems based on knowledge space theory. In B. du Boulay
and R. Mizoguchi, editors, Artificial Intelligence in Education:
Knowledge and Media in Learning Systems, volume 39 of Frontiers
in Artificial Intelligence and Applications, pp. 553-555. Amsterdam:
IOS Press.
Albert, D. and Lukas, J., editors. (1999). Knowledge
Spaces: Theories, Empirical Research, Applications. Mahwah,
NJ: Lawrence Erlbaum Associates.
Albert, D., Bahrick, H., Falmagne, J.-C., Witteveen, C., d'Ydewalle, G.,
and Toda, M. (1992). Representation and assessment of knowledge. In
B. Wilpert, H. Motoaki, and J. Mitsumi, editors, General Psychology
and Environmental Psychology, volume 2, pp. 9-98, July 1990.
Proceedings of the 22nd International Congress of Applied Psychology.
Hove, UK: Lawrence Erlbaum Associates, Ltd.
Albert, D. and Held, T. (1994). Establishing knowledge spaces by
systematical problem construction. In D. Albert, editor, Knowledge
Structures, vol. 1, pp. 78-112. Berlin, Heidelberg:
Springer-Verlag.
Albert, D., Held, T., and Schrepp, M. (1992). Construction of knowledge
spaces for problem solving in chess. In G.H. Fischer and D. Laming,
editors, Contributions to Mathematical Psychology, Psychometrics,
and Methodology, pp. 123-135. New York: Springer-Verlag.
Arasasingham, R., Lonjers, S., Martorell, I., Potter, F., and Taagepera,
M. (2005). Assessing the Effect of Web-Based Learning Tools on
Student Understanding of Stoichiometry Using Knowledge Space Theory.
Journal of Chemical Education, 82, 1251.
Arasasingham, R., Lonjers, S., Potter, F., and Taagepera, M.
(2004). Using Knowledge Space Theory to Assess Student Understanding
of Stoichiometry. Journal of Chemical Education, 81,
1517.
Baumunk, K. and Dowling, C. (1997). Validity of spaces for assessing
knowledge about fractions. Journal of Mathematical
Psychology, 41, 99-105.
Brandt, S., Albert, D., and Hockemeyer, C. (1999). Surmise
relations between tests - preliminary results of the mathematical
modelling. Electronic Notes in Discrete Mathematics,
2.
Cosyn, E. (2002). Coarsening a knowledge structure. Journal
of Mathematical Psychology, 46, 123-139.
Cosyn, E., Doble, C., Falmagne, J.-C., Lenoble, A., Thiéry,
N., and Uzun, H. (In Preparation). Assessing mathematical knowledge in a learning
space. In D. Albert, C. Doble, D. Eppstein, J.-C. Falmagne, and X. Hu,
editors, Knowledge Spaces: Applications in Education.
In Preparation.
Cosyn, E., Doignon, J.-P., Falmagne, J.-C., and Thiéry, N. (2006).
The assessment of knowledge, in theory and in practice. In B. Ganter
and L. Kwuida, editors, Formal Concept Analysis, 4th
International Conference, ICFCA 2006, Dresden, Germany, February
13-17, 2006, Lecture Notes in Artificial Intelligence, pp. 61-79.
Berlin, Heidelberg, New York: Springer-Verlag.
Cosyn, E. and Thiéry, N. (2000). A practical procedure
to build a knowledge structure. Journal of Mathematical
Psychology, 44, 383-407.
Cosyn, E. and Uzun, H. (2009). Note on two necessary and sufficient
axioms for a well-graded knowledge space. Journal of Mathematical
Psychology, 53(1), 40-42.
Degreef, E., Doignon, J.-P., Ducamp, A., and, Falmagne J.-C. (1986).
Languages for the assessment of knowledge. Journal of Mathematical
Psychology, 30, 243-256.
Doignon, J.-P. (1994). Knowledge spaces and skill assessments.
In G. Fischer and D. Laming, editors, Contributions to Mathematical
Psychology, Psychometrics, and Methodology, pp. 111-112.
New York: Springer-Verlag.
Doignon, J.-P. (1999). Dimensions of chains of relations. Abstract
of a Talk presented at the OSDA98, Amherst, MA, September 1998.
Electronic Notes in Discrete Mathematics, 2.
Doignon, J.-P. and Falmagne, J.-C. (1985). Spaces for the
assessment of knowledge. International Journal of Man-Machine
Studies, 23, 175-196.
Doignon, J.-P. and Falmagne, J.-C. (1987). Knowledge assessment: A
set theoretical framework. In B. Ganter, R. Wille, and K.E. Wolfe,
editors, Beiträge zur Begriffsanalyse: Vorträge der
Arbeitstagung Begriffsanalyse, Darmstadt 1986, pp. 129-140.
Mannheim: BI Wissenschaftsverlag.
Doignon, J.-P. and Falmagne, J.-C. (1988). Parametrization of
knowledge structures. Discrete Applied Mathematics,
21, 87-100.
Doignon, J.-P. and Falmagne, J.-C. (1997). Well-graded families of
relations. Discrete Mathematics, 173, 35-44.
Doignon, J.-P. and Falmagne, J.-C. (1999). Knowledge
Spaces. Berlin, Heidelberg, New York: Springer-Verlag.
Doignon, J.-P. and Falmagne, J.-C., editors. (1991). Mathematical
Psychology: Current Developments. New York: Springer-Verlag.
Dowling, C.E. (1991). Constructing knowledge spaces from judgements with
differing degrees of certainty. In J.-P. Doignon and J.-C. Falmagne,
editors, Mathematical Psychology: Current Developments,
pp. 221-231. New York: Springer-Verlag.
Dowling, C.E. (1991). Constructing Knowledge Structures from
the Judgements of Experts. Habilitationsschrift, Technische
Universität Carolo-Wilhelmina, Braunschweig, Germany.
Dowling, C.E. (1993). Applying the basis of a knowledge space for
controlling the questioning of an expert. Journal of
Mathematical Psychology, 37, 21-48.
Dowling, C.E. (1993). On the irredundant construction of knowledge
spaces. Journal of Mathematical Psychology, 37,
49-62.
Dowling, C.E. (1994). Integrating different knowledge spaces.
In G.H. Fischer and D. Laming, editors, Contributions to
Mathematical Psychology, Psychometrics, and Methodology,
pp. 149-158. New York: Springer-Verlag.
Dowling, C. and Hockemeyer, C. (1998). Computing the intersection
of knowledge spaces using only their basis. In C. Dowling, F. Roberts,
and P. Theuns, editors, Recent Progress in Mathematical
Psychology, pp. 133-141. Hillsdale, USA: Lawrence Erlbaum
Associates Ltd.
Dowling, C. and Hockemeyer, C. (1999). Integrating knowledge spaces
obtained by querying different experts. Abstract of a Talk presented
at the OSDA98, Amherst, MA, September 1998. Electronic Notes in
Discrete Mathematics, 2.
Dowling, C. and Hockemeyer, C. (2001). Automata for the assessment
of knowledge. IEEE Transactions on Knowledge and Data
Engineering, 13(3), 451-461.
Dowling, C., Hockemeyer, C., and Ludwig, A. (1996). Adaptive assessment
and training using the neighbourhood of knowledge states. In C.
Frasson, G. Gauthier, and A. Lesgold, editors, Intelligent
Tutoring Systems, volume 1086 of Lecture Notes in Computer
Science, pp. 578-586. Berlin: Springer-Verlag.
Dowling, C. and Kaluscha, R. (1995). Prerequisite relationships for the
adaptive assessment of knowledge. In J. Greer, editor, Artificial
Intelligence in Education, pp. 43-50. Charlottesville, VA:
Association for the Advancement of Computing in Education (AACE).
Dowling, C., Roberts, F., and Theuns, P., editors. (1998). Recent
Progress in Mathematical Psychology. Scientific Psychology Series.
Hillsdale, USA: Lawrence Erlbaum Associates Ltd.
Düntsch, I. and Gediga, G. (1995). Skills and knowledge structures.
British Journal of Mathematical and Statistical Psychology,
48, 9-27.
Düntsch, I. and Gediga, G. (1996). On query procedures to build
knowledge structures. Journal of Mathematical Psychology,
40, 160-168.
Düntsch, I. and Gediga, G. (1998). Knowledge structures and their
applications in CALL. In S. Jager, J. Nerbonne, and A. van Essen,
editors, Language Teaching and Language Technology,
pp. 177-186. Lisse: Swets and Zeitlinger.
Eppstein, D., Falmagne, J.-C., and Ovchinnikov, S. (2008). Media
Theory: Interdisciplinary Applied Mathematics. Berlin,
Heidelberg: Springer-Verlag.
Falmagne, J.-C. (1989). A latent trait theory via stochastic learning
theory for a knowledge space. Psychometrika, 54,
283-303.
Falmagne, J.-C. (1989). Probabilistic knowledge spaces: a review.
In F. Roberts, editor, Applications of Combinatorics and Graph
Theory to the Biological and Social Sciences, volume 17 of IMA,
pp. 283-303. New York: Springer-Verlag.
Falmagne, J.-C. (1993). Stochastic learning paths in a knowledge
structure. Journal of Mathematical Psychology,
37, 489-512.
Falmagne, J.-C. (1994). Finite markov learning models for knowledge
structures. In G. Fischer and D. Laming, editors, Contributions
to Mathematical Psychology, Psychometrics, and Methodology.
New York: Springer-Verlag.
Falmagne, J.-C. (1996). Errata to SLP. Journal of
Mathematical Psychology, 40, 169-174.
Falmagne, J.-C. (1999). ALEKS, an application of knowledge space
theory. Tutorial given at the OSDA98, Amherst, MA, September 1998.
Electronic Notes in Discrete Mathematics, 2.
Falmagne, J.-C. and Doignon, J.-P. (1988). A class of stochastic
procedures for the assessment of knowledge. British Journal
of Mathematical and Statistical Psychology, 41, 1-23.
Falmagne, J.-C. and Doignon, J.-P. (1988). A markovian procedure
for assessing the state of a system. Journal of Mathematical
Psychology, 32, 232-258.
Falmagne, J.-C. and Doignon, J.-P. (1993). A stochastic theory
for system failure assessment. In B. Bouchon-Meunier, L. Valverde,
and R.R. Yager, editors, Uncertainty in Intelligent
Systems, pp. 431-440. Amsterdam: North-Holland.
Falmagne, J.-C. and Doignon, J.-P. (1997). Stochastic evolution of
rationality. Theory and Decision, 43, 107-138.
Falmagne, J.-C. and Doignon, J.-P. (1998). Meshing knowledge structures.
In C. Dowling, F. Roberts, and P. Theuns, editors, Recent Progress
in Mathematical Psychology, pp. 143-153. Hillsdale, USA:
Lawrence Erlbaum Associates Ltd.
Falmagne, J.-C. and Doignon, J.-P. (2011). Learning Spaces:
Interdisciplinary Applied Mathematics. Berlin, Heidelberg:
Springer-Verlag.
Falmagne, J.-C., Koppen, M., Villano, M., Doignon, J.-P. and
Johannesen, L. (1990). Introduction to knowledge spaces: How to build,
test and search them. Psychological Review, 97,
201-224.
Falmagne, J.-C. and Lakshminarayan, K. (1994). Stochastic learning
paths---estimation and simulation. In G. Fischer and D. Laming, editors,
Contributions to Mathematical Psychology, Psychometrics, and
Methodology. New York: Springer-Verlag.
Falmagne, J.-C. and Ovchinnikov, S. (2002). Media Theory.
Discrete Applied Mathematics, 121, 83-101.
Fischer, G. and Laming, D., editors. (1994). Contributions
to Mathematical Psychology, Psychometrics, and Methodology.
New York: Springer-Verlag.
Fries, S. (1997). Empirical validation of a markovian learning
model for knowledge structures. Journal of Mathematical
Psychology, 41, 65-70.
Heller, J. and Repitsch, C. (2008). Distributed skill functions and
the meshing of knowledge structures. Journal of Mathematical
Psychology, 52(3), 147-157.
Hockemeyer, C. (1997). Using the basis of a knowledge space for
determining the fringe of a knowledge state. Journal of
Mathematical Psychology, 41, 275-279.
Hockemeyer, C. (2001). Tools and utilities for knowledge spaces.
Unpublished technical report, Institut für Psychologie,
Karl-Franzens-Universität, Graz, Austria.
Hockemeyer, C., Albert, D., and Brandt, S. (1998). Surmise relations
between courses. Abstract of a talk presented at the 29th EMPG
meeting, Keele, UK, September 1998. Journal of Mathematical
Psychology, 42, 508.
Hockemeyer, C., Held, T., and Albert, D. (1998). RATH---a relational
adaptive tutoring hypertext WWW-environment based on knowledge space
theory. In C. Alvegård, editor, CALISCE'98: Proceedings of
the Fourth International Conference on Computer Aided Learning in Science
and Engineering, pp. 417-423. Göteborg, Sweden: Chalmers
tekniska högskola.
Kambouri, M. (1991). Knowledge assessment: A comparison between
human experts and computerized procedure. Doctoral Dissertation,
New York University.
Kambouri, M., Koppen, M., Villano, M., and Falmagne, J.-C. (1991).
Knowledge assessment: Tapping human expertise. Irvine Research
Unit in Mathematical Behavioral Sciences. University of
California.
Kambouri, M., Koppen, M., Villano, M., and Falmagne, J.-C. (1994).
Knowledge assessment: tapping human expertise by the QUERY routine.
International Journal of Human-Computer Studies,
40, 119-151.
Koppen, M. (1989). Ordinal Data Analysis: Biorder Representation
and Knowledge Spaces. Doctoral Dissertation, Katholieke
Universiteit te Nijmegen, Nijmegen, Netherlands.
Koppen, M. (1993). Extracting human expertise for constructing
knowledge spaces: An algorithm. Journal of Mathematical
Psychology, 37, 1-20.
Koppen, M. (1998). On alternative representations for knowledge spaces.
Mathematical Social Sciences, 36, 127-143.
Koppen, M. and Doignon, J.-P. (1990). How to build a knowledge space by
querying an expert. Journal of Mathematical Psychology,
34, 311-331.
Lakshminarayan, K. and Gilson, F. (1998). An application of a stochastic
knowledge structure model. In C. Dowling, F. Roberts, and P. Theuns,
editors, Recent Progress in Mathematical Psychology,
pp. 155-172. Hillsdale, USA: Lawrence Erlbaum Associates Ltd.
Lukas, J. and Albert, D. (1993). Knowledge assessment based on skill
assignment and psychological task analysis. In G. Strube and K. Wender,
editors, The Cognitive Psychology of Knowledge, volume 101
of Advances in Psychology, pp. 139-160. Amsterdam: North-Holland.
Muller C. (1989). A procedure for facilitating an expert's judgments
on a set of rules. In E. Roskam, editor, Mathematical Psychology
in Progress, pp. 157-170. Berlin: Springer-Verlag.
Pilato, G., Pirrone, R., and Rizzo, R. (2008). A KST-based system for
student tutoring. Applied Artificial Intelligence, 22,
283-308.
Rusch, A. and Wille, R. (1996). Knowledge spaces and formal concept
analysis. In H.-H. Bock and W. Polasek, editors, Data Analysis
and Information Systems, Studies in Classification, Data Analysis,
and Knowledge Organization, pp. 427-436. Berlin: Springer-Verlag.
Schrepp, M. (1997). A generalization of knowledge space theory to
problems with more than two answer alternatives. Journal of
Mathematical Psychology, 41, 237-243.
Schrepp, M. (1999). Extracting knowledge structures from observed data.
British Journal of Mathematical and Statistical Psychology,
52, 213-224.
Schrepp, M. (1999). On the empirical construction of implications
between bi-valued test items. Mathematical Social
Sciences, 38, 361-375.
Schrepp, M. (2001). A method for comparing knowledge structures
concerning their adequacy. Journal of Mathematical
Psychology, 45, 480-496.
Schrepp, M. and Held, T. (1995). A simulation study concerning
the effect of errors on the establishment of knowledge spaces by querying
experts. Journal of Mathematical Psychology, 39,
376-382.
Stefanutti, L. and Albert, D. (2002). Efficient assessment of
organizational action based on knowledge space theory. In K. Tochtermann
and H. Maurer, editors, 2nd International Conference on Knowledge
Management, Journal of Universal Computer Science,
183-190.
Strube, G. and Wender, K., editors. (1993). The Cognitive
Psychology of Knowledge, volume 101 of Advances in Psychology.
Elsevier.
Suck, R. (1998). Ordering orders. Mathematical Social
Sciences, 36, 91-104.
Suck, R. (1999). The basis of a knowledge space and a generalized
interval order. Electronic Notes in Discrete Mathematics,
2.
Suck, R. (1999). A dimension-related metric on the lattice of knowledge
spaces. Journal of Mathematical Psychology, 43, 394-409.
Taagepera, M., Arasasingham, R., Potter, F., Soroudi, A., Lam, G. (2002).
Following the Development of the Bonding Concept Using Knowledge Space
Theory. Journal of Chemical Education, 79, 1756.
Taagepera, M. and Noori, S. (2000). Mapping Students' Thinking Patterns
in Learning Organic Chemistry by the Use of the Knowledge Space Theory.
Journal of Chemical Education, 77, 1224.
Taagepera, M., Potter, F., Miller, G., and Lakshminarayan, K.
(1997). Mapping students thinking patterns by the use of knowledge space
theory. International Journal of Science Education, 19,
283-302.
Thiéry, N. (2001). Dynamically Adapting Knowledge
Spaces. Doctoral Dissertation, University of California,
Irvine.
Theuns, P. (1998). Building a knowledge space via boolean analysis
of co-occurrence data. In C. Dowling, F. Roberts, and P. Theuns,
editors, Recent Progress in Mathematical Psychology,
pp. 173-194. Hillsdale, USA: Lawrence Erlbaum Associates Ltd.
Villano, M. (1991). Computerized knowledge assessment: Building
the knowledge structure and calibrating the assessment routine.
Doctoral Dissertation, New York University.
Villano, M., Falmagne, J.-C., Johannsen, L., and Doignon, J.-P.
(1987). Stochastic procedures for assessing an individual's state
of knowledge. In Proceedings of the International Conference on
Computer-Assisted Learning in Post-Secondary Education, Calgary
1987, pp. 369-371. Calgary: University of Calgary Press.
Wille, R. (1999). Formal concept analysis. Abstract of a Tutorial given
at the OSDA98, Amherst, MA, September 1998. Electronic Notes in
Discrete Mathematics, 2.
Wille, R. (1999). Mathematical support for empirical theory building.
Abstract of a Talk presented at the OSDA98, Amherst, MA, September 1998.
Electronic Notes in Discrete Mathematics, 2.
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