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Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.
Didactics of mathematics --- Mathematics --- Mathématiques --- Study and teaching. --- Etude et enseignement --- -Math --- Science --- Study and teaching --- Mathematics -- Study and teaching. --- Physical Sciences & Mathematics --- Mathematics Teaching & Research --- -Study and teaching --- Education. --- Mathematics. --- Mathematics Education. --- Mathematics, general. --- Mathematics—Study and teaching .
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This volume is based on the International Conference Logic at Work, held in Amsterdam, The Netherlands, in December 1992. The 14 papers in this volume are selected from 86 submissions and 8 invited contributions and are all devoted to knowledge representation and reasoning under uncertainty, which are core issues of formal artificial intelligence. Nowadays, logic is not any longer mainly associated to mathematical and philosophical problems. The term applied logic has a far wider meaning, as numerous applications of logical methods, particularly in computer science, artificial intelligence, or formal linguistics, testify. As demonstrated also in this volume, a variety of non-standard logics gained increased importance for knowledge representation and reasoning under uncertainty.
Artificial intelligence. Robotics. Simulation. Graphics --- Argumentatieleer --- Argumentation [Théorie de l' ] --- Indetermination (Theorie de l'information) --- Kennisrepresentatie (Informatietheorie) --- Knowledge representation (Information theory) --- Onzekerheid (Informatietheorie) --- Raisonnement --- Reasoning --- Redenering --- Représentation des connaissances (Théorie de l'information) --- Uncertainty (Information theory) --- Artificial intelligence. --- Mathematics. --- Computer science. --- Artificial Intelligence. --- Mathematics, general. --- Mathematical Logic and Formal Languages. --- Informatics --- Science --- Math --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Artificial intelligence --- Intelligence artificielle --- Automatic theorem proving --- Théorèmes --- Démonstration automatique --- Démonstration automatique. --- Automatic theorem proving. --- Théorèmes --- Démonstration automatique --- Informatique theorique --- Knowledge representation
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