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Conception of understanding in mathematical proof [PDF]
Омский научный вестник: Серия "Общество. История. Современность", 2021 The article analyzes the role of the concept of understanding in mathematical proof. Understanding seems to be a natural and necessary characteristic of proof, interpreted as an argument in favor of the established result.
V. V. Tselishchev, A. V. Khlebalin
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Mathematical Method and Proof [PDF]
SynthÈse, 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.
Jeremy Avigad
exaly +2 more sources
مجلة الدراسات الاجتماعية, 2021 This study aimed to identify the extent to which mathematical proof and logic methods are achieved in mathematics courses for student-teachers at the University of Sana'a.
Fawzi Abdullah Khaled Al-Haded
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A study on pre-service mathematics teachers’ criteria of proof evaluation
LUMAT, 2022 Proof is foundational to mathematics, and constructing proofs and establishing their validity are both important mathematical studies. Determining the validity of a proof is a part of the process of proof evaluation.
Tuğba Öztürk, Bülent Güven
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Study on Students' Understanding of the Process Mathematical Proof Based on Mejia Ramos et al [PDF]
Fanāvarī-i āmūzish, 2016 Reasoning and proof in mathematics education are important at all educational levels, from school to university. Understanding mathematics without emphasis on reasoning and proving is almost impossible.
E. Reyhani, F. Fathollahi, F. Kolahdouz
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Frontiers in Psychology, 2021 An increasing number of learning goals refer to the acquisition of cognitive skills that can be described as ‘resource-based,’ as they require the availability, coordination, and integration of multiple underlying resources such as skills and knowledge ...
Daniel Sommerhoff +2 more
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International Journal of Trends in Mathematics Education Research, 2022 Experiences at the educational personnel education institution, Department of Mathematics Education Institute of Teacher Training and Education Pontianak (IKIP) shows that students often had difficulty in proving propositions (theorems in mathe-matics ...
Dewi Risalah, H Hodiyanto
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PERSEPSI MAHASISWA DALAM MEMVALIDASI BUKTI MATEMATIS
Jurnal Magister Pendidikan Matematika, 2020 This study aims to describe the perceptions of prospective students in the first year in validating mathematical proof. This student's perception is discussed based on the answers given to the proof of a theorem.
Christi Matitaputty
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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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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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