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Jurnal Lebesgue, 2023 Mathematical proof is a crucial component in studying mathematics, especially at advanced levels. Previous research has reported that many students face difficulties in solving mathematical proof problems, including in rings theory course.
Nina Agustyaningrum +2 more
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Lietuvos Matematikos Rinkinys, 2023 Usually, proofs of mathematical statements involve both algebraic rearrangements and logical reasoning. But there are mathematical statements whose truth is obvious at first glance when there is a diagram illustrating that proof.
Edmundas Mazėtis +1 more
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Frontiers in Psychology, 2020 The use of figurate numbers (e.g., in the context of elementary number theory) can be considered a heuristic in the field of problem solving or proving.
Leander Kempen, Rolf Biehler
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JME (Journal of Mathematics Education), 2019 Several studies related to mathematical proof have been done by many researchers on high-level materials, but not yet examined on the material of transformation geometry.
M. S. Noto, N. Priatna, J. A. Dahlan
semanticscholar +1 more source
The Tur\'{a}n number and probabilistic combinatorics [PDF]
, 2011 In this short expository article, we describe a mathematical tool called the probabilistic method, and illustrate its elegance and beauty through proving a few well-known results. Particularly, we give an unconventional probabilistic proof of a classical
Aw, Alan J.
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Mathematical Explanation beyond Explanatory Proof
British Journal for the Philosophy of Science, 2020 Much recent work on mathematical explanation has presupposed that the phenomenon involves explanatory proofs in an essential way. I argue that this view, ‘proof chauvinism’, is false.
W. D’Alessandro
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Proof and Understanding in Mathematical Practice
Philosophia Scientiæ, 2012 The mathematical practice of proving theorems seems clearly to result in improved mathematical understanding; the aim of proving, and reproving, theorems in mathematics is better understanding.
Danielle Macbeth
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Mathematics, 2020 Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing central roles within teaching and learning in the field of mathematics, particularly in solving complex open-ended mathematical problems Specific relations between ...
Janka Medová +2 more
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Mathematical Method and Proof [PDF]
Synthese, 2006 On a traditional view, the primary role of a mathematical proof is to warrant the truth of the resulting theorem. This view fails to explain why it is very often the case that a new proof of a theorem is deemed important. Three case studies from elementary arithmetic show, informally, that there are many criteria by which ordinary proofs are valued.
openaire +2 more sources
On the nonlinear stability of mKdV breathers [PDF]
, 2012 A mathematical proof for the stability of mKdV breathers is announced. This proof involves the existence of a nonlinear equation satisfied by all breather profiles, and a new Lyapunov functional which controls the dynamics of small perturbations and ...
Akhmediev N +12 more
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