Proofs and refutations in the undergraduate mathematics classroom

In his 1976 book, Proofs and Refutations, Lakatos presents a collection of case studies to illustrate methods of mathematical discovery in ...

Proofs and Refutations in the Undergraduate Mathematics Classroom

process of guided reinvention. Keywords Lakatos • Guided reinvention • Abstract algebra • Realistic mathematics education • Proof- Proving • ...

Proofs and Refutations in the Undergraduate Mathematics Classroom

Proofs and Refutations in the Undergraduate Mathematics Classroom. Larsen, Sean; Zandieh, Michelle. Educational Studies in Mathematics , v67 n3 p205-216 Mar ...

Proofs and refutations in the undergraduate mathematics classroom

Proofs and refutations in the undergraduate mathematics classroom. / Larsen, Sean; Zandieh, Michelle. In: Educational Studies in Mathematics , Vol. 67, No. 3, ...

Proofs and refutations in the undergraduate mathematics classroom

A further example of mathematics education research using constructs proposed by Lakatos to describe and make sense of students' mathematical activity related ...

Proofs and Refutations

Students never get to taste real mathematics – a messy process of conjecture, discovery, proofs and refutations1. Though the characters in Lakatos' dialog are ...

Proofs and Refutations - Wikipedia

Proofs and Refutations: The Logic of Mathematical Discovery is a 1976 book by philosopher Imre Lakatos expounding his view of the progress of mathematics.

PROOFS AND REFUTATIONS - The Logic of Mathematical Discovery

stages problem and conjecture - that we enter the classroom.¹ The teacher is just going to offer a proof. 2. A Proof. TEACHER: In our last ...

(PDF) A framework for proofs and refutations in school mathematics

... refutations in the undergraduate mathematics. classroom. Educational Studies in Mathematics, 67(3), 205–216. Mejia-Ramos, J. P., Fuller, E., Weber, K ...

A framework for proofs and refutations in school mathematics - Gale

... refutations in mathematical learning: Local-counterexample and modification of proof ... Proofs and refutations in the undergraduate mathematics classroom. vol.

Proofs and refutations in school mathematics: A task design in ... - HAL

Proofs and refutations in the undergraduate mathematics classroom. Educational Studies in Mathematics, 67(3), 205–216. Olivero, F ...

Proofs and Refutations as a Model for Defining Limit - Calculus

The development of mathematical maturity in undergraduate students includes an important transition from the introductory Calculus sequence, which typically ...

Proofs and Refutations: The Logic of Mathematical Discovery

Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate ...

Proofs and Refutations - Cambridge University Press & Assessment

Proofs and Refutations: The Logic of Mathematical Discovery. Search within full text. Access. Edited by Imre Lakatos, John Worrall, Elie Zahar.

Imre Lakatos's "Proofs and Refutations" is awesome and you should ...

In short, it's a mathematical philosophy book that discusses the relationship between theorems, proofs ... mathematics classes (even at university ...

Reflections on Lakatos's “Proofs and Refutations”

” As a mathematics student, I found the story dramatic, even ... class in geography/social science undergraduate students… Daniel ...

Volume 67, Issue 3 | Educational Studies in Mathematics

Proofs and refutations in the undergraduate mathematics classroom. Sean Larsen; Michelle Zandieh. OriginalPaper 29 November 2007 Pages: 205 - 216. The ...

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

Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate ...

Students' proof schemes for mathematical proving and disproving of ...

While studies of the roles of counterexamples and K-12 students' treatment of counterexamples in their disproving and refutation of mathematical propositions ...

Utillizing Lakatos' "Proofs and Refutations" in Secondary Education

Reading popular books in undergraduate math classes: Techniques, assignments, methods? Related. 12 · Mathematics Education Graduate Program ...