Results 11 to 20 of about 92,095 (302)
Mathematical Proof and Discovery Reductio ad Absurdum [PDF]
Informal Logic, 2008 The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discovery are examined, illustrated with elementary and progressively sophisticated examples, and explained.
Dale Jacquette
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Lakatos and Hersh on Mathematical Proof [PDF]
Journal of Philosophical Investigations, 2015 The concept of Mathematical Proof has been controversial for the past few decades. Different philosophers have offered different theories about the nature of Mathematical Proof, among which theories presented by Lakatos and Hersh have had significant ...
Hossein Bayat
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These Course Notes provide an introduction to mathematical proofs for undergraduate students transitioning from computational calculus to abstract mathematics. Topics include propositional logic, proof techniques, mathematical induction, fields, sets and relations, sequences and series, completeness of the real numbers, cardinality, and related ...
Shuang Zhou (339964) +1 more
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Jurnal Pendidikan Matematika dan IPA, 2017 This study aims to know the effect of teaching and learning using Algebraic Stucture materials based on mathematical proof to improve mathematical proof ability. The type of this study is experimental method with One Shot Case Study design. Population in
Jamilah Jamilah, Syarifah Fadillah
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Uniciencia, 2022 The objective of this study is to characterize the knowledge of mathematics teachers in initial training (MTITs) at the Universidad Nacional (Costa Rica) on the logic-syntactic and mathematical aspects involved in proving, when evaluating mathematical ...
Christian Alfaro-Carvajal +2 more
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What should be the object of research with respect to the notion of mathematical proof? [PDF]
, 2019 Despite its central place in the mathematics curriculum the notion of mathematical proof has failed to permeate the curriculum at all scholastic levels. While the concept of mathematical proof can serve as a vehicle for inculcating mathematical thinking,
Mtetwa, David J +5 more
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Mathematical Rigor, Proof Gap and the Validity of Mathematical Inference
Philosophia Scientiæ, 2014 Mathematical rigor is commonly formulated by mathematicians and philosophers using the notion of proof gap: a mathematical proof is rigorous when there is no gap in the mathematical reasoning of the proof. Any philosophical approach to mathematical rigor
Yacin Hamami
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Jurnal Elemen, 2023 Argumentation as an aspect of problem-solving has been studied in mathematics education. However, mathematical proof still needs to be resolved further.
Surya Kurniawan +2 more
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On Proof and Progress in Mathematics [PDF]
Bulletin of the American Mathematical Society, 1994 In response to Jaffe and Quinn [math.HO/9307227], the author discusses forms of progress in mathematics that are not captured by formal proofs of theorems, especially in his own work in the theory of foliations and geometrization of 3-manifolds and dynamical systems.
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Examining the Role of Assessment in a Transition-to-proof Course: Teaching Practices and Evaluation [PDF]
, 2020 Over the past decade, research about students' proof capabilities has been a prevalent topic in collegiate mathematics education. Also, while not as prevalent, there has been interest in research about the teaching practices of the introduction to proof ...
Kellam, Adam
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