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Evidence, Proofs, and Derivations [PDF]
, 2019 The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected: it misrepresents both historical and current mathematical practice ...
Aberdein, Andrew
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Seven Layers of Computation: Methodological Analysis and Mathematical Modeling
Filozofia i Nauka, 2022 We live in an information society where the usage, creation, distribution, manipulation, and integration of information is a significant activity. Computations allow us to process information from various sources in various forms and use the derived knowledge in improving efficiency and resilience in our interactions with each other and with our ...
Mark Burgin, Rao Mikkilineni
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Active methodologies in mathematics learning
International journal of physics & mathematics, 2023 Active methodologies are necessary in the educational process because they comprise a fundamental tool for the student to achieve an adequate level of success in their educational process.
Johanna Lisbeth Candela-Muñoz +1 more
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Beyond an Input/Output Paradigm for Systems: Design Systems by Intrinsic Geometry
Systems, 2014 Given a stress-free system as a perfect crystal with points or atoms ordered in a three dimensional lattice in the Euclidean reference space, any defect, external force or heterogeneous temperature change in the material connection that induces stress on
Germano Resconi, Ignazio Licata
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Studia Humana, 2020 Two crucial concepts of the methodology and philosophy of mathematics are considered: proof and truth. We distinguish between informal proofs constructed by mathematicians in their research practice and formal proofs as defined in the foundations of ...
Murawski Roman
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Heliyon, 2022 Teaching mathematics in higher education has been followed traditionally by teacher-centered methodology. With this methodology, there are always certain difficulties in mathematics learning, revealing students are not capable of dealing properly with ...
Jin Su Jeong, David González-Gómez
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Methodological conceptualization of mathematical modelling
Mathematical and Computer Modelling, 1992 The experience of the author and colleges, as mathematicians working in interdisciplinary groups, have shown the necessity to make the process of mathematical modelling more precise and to establish its different phases. In this way, the specific role of the mathematician in working teams can be better understood by the other members of the team and ...
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Russian Journal of Education and PsychologyBackground. In recent decades, the approach to teaching mathematical disciplines has changed. The driver of such changes was the development of information and communication technologies, the introduction of which into the system of secondary and higher ...
Olga A. Bisterfeld +2 more
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Education and Information Technologies : Official Journal of the IFIP technical committee on Education, 2022 The study describes an innovative methodology for teaching natural and mathematical sciences in the context of distance learning using modern technological solutions and based on the concepts of active social learning that involves constructivist ...
U. Kossybayeva +3 more
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Lakatos’ Quasi-empiricism in the Philosophy of Mathematics [PDF]
, 2015 Imre Lakatos' views on the philosophy of mathematics are important and they have often been underappreciated. The most obvious lacuna in this respect is the lack of detailed discussion and analysis of his 1976a paper and its implications for the ...
Shaffer, Michael J.
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