Proofs and refutations in the undergraduate mathematics classroom

References | Proving in the Elementary Mathematics Classroom

Proofs and refutations in the undergraduate mathematics classroom. Educational Studies in Mathematics. , 67(3), 205–216. Google Scholar. OpenURL Placeholder ...

A Study based on Argumentation and Proving Activity

Various studies have been conducted regarding the use of examples in a mathematical proof. This study aims to describe how the students use the example in the ...

Key Ideas In Proof In Undergraduate Mathematics Classrooms

These findings are a significant addition to our present knowledge of undergraduate mathematics students' ability to see the important ideas embedded in proofs.

Lara Alcock - Loughborough University Research Repository

Counterexamples and refutations in undergraduate mathematics.

Reasoning and proof in the mathematics classroom - De Gruyter

... proof and refutation.John H. Conway [8] brought it to a point in an internet newsgroup:Lakatos' 'Proofs and Refutations' describes the ...

Book Excerptise: Proofs and Refutations by Imre Lakatos

Not so Weierstrass and his school: textbooks of formal mathematics ... students, the discourse follows ... proofs of the pure mathematicians are 'complete'.

Growth in Students' Conceptions of Mathematical Induction

These investigative orientations affected what type of knowledge was constructed. Keywords: Mathematical Induction, Proof, Undergraduate students. Page 4 ...

Validations of Proofs Considered as Texts: Can Undergraduates Tell ...

appears to have a role to play throughout mathematics students' education, in math- ematicians' practice, and in examinations of the nature of mathematics.

The ABCD of using history of mathematics in the (undergraduate ...

The ABCD of using history of mathematics in the (undergraduate) classroom ... mathematics teachers · K ... (Book Reviews: Proofs and Refutations. The Logic ...

Imre Lakatos's Use of Dialogue. - ERIC

Mathematicians; Mathematics Education; *Mathematics ... The students of Lakatos's ideal class immediately attack the proof. ... regarding Proofs and Refutations. He ...

LOCAL-COUNTEREXAMPLE AND MODIFICA - CORE

proofs by refutations should lead to authentic mathematical learning ... Proofs and refutations in the undergraduate mathematics classroom.

A framework for proofs and refutations in school mathematics - jstor

Proofs and refutations in the undergraduate mathematics classroom. Educational Studies in Mathematics, 67(3), 205-216. Mejia-Ramos, J. P. ...

Reflections on Lakatos's “Proofs and Refutations”1 Andrew Gelman ...

My advanced math classes in college followed a standard pattern: in the beginning of the semester were the definitions, then came the lemmas ...

Proving in The Elementary Mathematics Classroom | PDF - Scribd

proof, while refutation of a conjecture is established with one counterexample. A second important contribution is Stylianides' taxonomy of proving tasks based ...

The Pennsylvania State University - eTD Explore

... teachers in his study thought proof was only appropriate in upper-level classes for advanced students and conceived of proof as a topic in mathematics rather.

Proofs and Refutations: The Logic of Mathematical Discovery ...

It is at this point – after the stages problem and conjecture – that we enter the classroom.2 The teacher is just going to offer a proof. 2. A proof teacher: In ...

Impacts of Inquiry Pedagogy on Undergraduate Students ...

Mathematicians and mathematics educators agree that proof is an important tool in mathematics, yet too often undergraduate students see proof as ...

Proving and Doing Proofs in High School Geometry Classes

Conjectures and Refutations in Grade 5 Mathematics. ... Secondary School Mathematics Teachers' Conceptions of Proof ... Mathematical Tasks and Student Cognition: ...

Unpacking the logic of mathematical statements - PhilPapers

Can mid-level mathematics undergraduates reliably validate the proofs of theorems? ... students repeated the course ... Lakatos, I.: 1976, Proofs and Refutations: ...

Applying Lakatos's Theory of Generating Mathematical Knowledge ...

(2008): Proofs and refutations in the undergraduate mathematics classroom. Educational Studies in Mathematics, 67, 3, 205–216. 松尾七重（2007）：図形の包摂 ...