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Based on the formal concept of "knowledge structures" originally
proposed by Jean-Claude Falmagne and Jean-Paul Doignon, this book
contains descriptions of methodological developments and
experimental investigations as well as applications for various
knowledge domains. The authors address three main topics:
* theoretical issues and extensions of Doignon & Falmagne's
theory of knowledge structures;
* empirical validations of specific problem types and knowledge
domains, such as sentence comprehension, problem solving in chess,
inductive reasoning, elementary mathematical reasoning, and others;
and
* application of knowledge structures in various contexts,
including knowledge assessment, intelligent tutoring systems, and
motor learning.
Unlike most other approaches in the literature in cognitive
psychology, this book provides both a rigorous mathematical
formulation of knowledge-related psychological concepts and its
empirical validation by experimental data.
Based on the formal concept of "knowledge structures" originally
proposed by Jean-Claude Falmagne and Jean-Paul Doignon, this book
contains descriptions of methodological developments and
experimental investigations as well as applications for various
knowledge domains. The authors address three main topics: *
theoretical issues and extensions of Doignon & Falmagne's
theory of knowledge structures; * empirical validations of specific
problem types and knowledge domains, such as sentence
comprehension, problem solving in chess, inductive reasoning,
elementary mathematical reasoning, and others; and * application of
knowledge structures in various contexts, including knowledge
assessment, intelligent tutoring systems, and motor learning.
Unlike most other approaches in the literature in cognitive
psychology, this book provides both a rigorous mathematical
formulation of knowledge-related psychological concepts and its
empirical validation by experimental data.
The book describes up-to-date applications and relevant theoretical
results. These applications come from various places, but the most
important one, numerically speaking, is the internet based
educational system ALEKS. The ALEKS system is bilingual
English-Spanish and covers all of mathematics, from third grade to
the end of high school, and chemistry. It is also widely used in
higher education because US students are often poorly prepared when
they reach the university level. The chapter by Taagepera and
Arasasingham deals with the application of knowledge spaces,
independent of ALEKS, to the teaching of college chemistry. The
four chapters by Albert and his collaborators strive to give
cognitive interpretations to the combinatoric structures obtained
and used by the ALEKS system. The contribution by Eppstein is
technical and develops means of searching the knowledge structure
efficiently.
This book is a sign of its times. Each one of the chapters - papers
written by European authors of various backgrounds- illustrates a
departure from the style of theorizing that has been prominent in
the behavioral and social sciences for most of the century. Until
very recently, models for behavioral phenomena were chi~fly based
on numerical representations of the objects of concern, e. g. the
subjects and the stimuli under study. This was due in large part to
the influence of nineteenth century physics, which played the role
of the successful older sister, the one that had to be imitated if
one wished to be taken seriously in scientific circles. The
mystical belief that there could be science only when the objects
of concern were susceptible of measurement in the sense of physics
was a credo that could not be violated without risks. Another, more
honor able justification was that the numerical models were the
only ones capable of feasible calculations. (In fact, these models
were typically linear. ) An early example of such theorizing in
psychology is factor analysis, which attempted to represent the
results of mental tests in a real vector space of small dimen
sionality, each subject being represented by a point in that space.
A dimension WaGBP interpreted as a scale measuring some mental
ability. The analysis was simple, and only required an electrical
desk calculator (with spinning wheels), and a suitable amount of
determination.
The book describes up-to-date applications and relevant theoretical
results. These applications come from various places, but the most
important one, numerically speaking, is the internet based
educational system ALEKS. The ALEKS system is bilingual
English-Spanish and covers all of mathematics, from third grade to
the end of high school, and chemistry. It is also widely used in
higher education because US students are often poorly prepared when
they reach the university level. The chapter by Taagepera and
Arasasingham deals with the application of knowledge spaces,
independent of ALEKS, to the teaching of college chemistry. The
four chapters by Albert and his collaborators strive to give
cognitive interpretations to the combinatoric structures obtained
and used by the ALEKS system. The contribution by Eppstein is
technical and develops means of searching the knowledge structure
efficiently.
Avec Une Lettre De M. F. A. Aulard, Preface Par Albert Regnard.
This Book Is In French.
Avec Une Lettre De M. F. A. Aulard, Preface Par Albert Regnard.
This Book Is In French.
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