Results 1 to 10 of about 555,294 (147)
Overlap Algebras: a Constructive Look at Complete Boolean Algebras [PDF]
The notion of a complete Boolean algebra, although completely legitimate in constructive mathematics, fails to capture some natural structures such as the lattice of subsets of a given set.
Francesco Ciraulo, Michele Contente
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Teaching in the Montessori Classroom [PDF]
The theory of Montessori education has been interpreted by some researchers to be vaguely formulated. However, as shown in previous research, Maria Montessori’s didactic approach to teaching and learning mathematics is fully consistent with variation ...
Eva-Maria Tebano Ahlquist +1 more
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Variations on Noetherianness [PDF]
In constructive mathematics, several nonequivalent notions of finiteness exist. In this paper, we continue the study of Noetherian sets in the dependently typed setting of the Agda programming language.
Denis Firsov +2 more
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Quotient completion for the foundation of constructive mathematics [PDF]
We apply some tools developed in categorical logic to give an abstract description of constructions used to formalize constructive mathematics in foundations based on intensional type theory.
Maietti, Maria Emilia +1 more
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Microteaching and Peer Assessment in Mathematics Teaching Practice
Considering the characteristics that teachers should have, concepts such as critical thinking, active learning, taking responsibility, evaluation, analysis, self-evaluation and reflective thinking are important.
Aziz İlhan +2 more
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Instance reducibility and Weihrauch degrees [PDF]
We identify a notion of reducibility between predicates, called instance reducibility, which commonly appears in reverse constructive mathematics. The notion can be generally used to compare and classify various principles studied in reverse constructive
Andrej Bauer
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Foundations of Mathematics and Mathematical Practice. The Case of Polish Mathematical School
The foundations of mathematics cover mathematical as well as philosophical problems. At the turn of the 20th century logicism, formalism and intuitionism, main foundational schools were developed.
Jan Woleński
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The Effect of Constructive and Independence Play on Prior Knowledge of Mathematics
This study aims to investigate the impact of constructive play and the level of independence on prior knowledge of mathematics. The research method used is experimental.
Resti Elma Sari, Hendri Budi Utama Budi
semanticscholar +1 more source
The paper analyzes an experiment on the use of manipulators for solving constructive tasks related to the different concepts in teaching discrete mathematics students of a technical university. These concepts include a logical circuit, a finite automaton,
A. Chukhnov, S. Pozdnyakov
semanticscholar +1 more source
Kant, Gödel, and the problem of synthetic a priori judgements [PDF]
Debates over Kant’s famous postulate about the existence of synthetic a priori judgements in mathematics, formulated in the Critique of Pure Reason, have been raging for over two centuries.
Pushkarsky A. G.
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