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Proofs and Refutations in the Undergraduate Mathematics Classroom


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 - 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

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 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 ...

(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 ...

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 - 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 ...

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

... mathematics classes (even at university or post-graduate level). In presentation, a mathematician will present a set of axioms and ...

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

school mathematics because it enables students to experience authentic mathematical practice ... Proofs and refutations in the undergraduate mathematics classroom ...

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.

Reflections on Lakatos's “Proofs and Refutations”

” As a mathematics student, I found the ... proofs and refutations is very ... class in geography/social science undergraduate students…

Proofs and Refutations - Cambridge University Press & Assessment

Cambridge Core - Mathematics (general) - Proofs and Refutations.

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 ...

Utillizing Lakatos' "Proofs and Refutations" in Secondary Education

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

NSF Award Search: Award # 0634099 - Collaborative Research

Larsen, S., & Zandieh, M. "Proofs and refutations in the undergraduate mathematics classroom." Educational Studies in Mathematics , v.67 ...