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Mathematics and Plausible Reasoning

George Pólya • CERN Document Server (European Organization for Nuclear Research) (1954)

This is a guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and g...

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The Chicken or the Egg? The Direction of the Relationship Between Mathematics Anxiety and Mathematics Performance

Emma Carey, Francesca Hill, Amy Devine, Dénes Szűcs • Frontiers in Psychology (2016)

This review considers the two possible causal directions between mathematics anxiety (MA) and poor mathematics performance. Either poor maths performance may elicit MA (referred to as the Deficit Theory), or MA may reduce future maths perfo...

OPENALEX cc-by DOI: https://doi.org/10.3389/fpsyg.2015.01987 PMC: 4703847

The Effects of the Weak Allee Effect and Disease on the Dynamics of a Predator–Prey System: Stability and Bifurcation Properties

Yurong Dong, Hua Liu, Jianhua Ye, Gang Ma et al. • Axioms (2025)

In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discusse...

DOAJ Open Access (DOAJ) DOI: 10.3390/axioms14070531

The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

Paul J. Riccomini, Gregory W. Smith, Elizabeth M. Hughes, Karen M. Fries • Reading & Writing Quarterly (2015)

Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the l...

OPENALEX DOI: https://doi.org/10.1080/10573569.2015.1030995

University mathematics students' conceptions of mathematics

Kathryn Crawford, Sue Gordon, Jackie Nicholas, Michael Prosser • Studies in Higher Education (1998)

A Conceptions of Mathematics Questionnaire was developed, designed to provide an indicator of the nature of students' conceptions of the subject matter they were studying. The scales of the questionnaire were based upon a set of conceptions...

OPENALEX DOI: https://doi.org/10.1080/03075079812331380512

On proof and progress in mathematics

William P.HG Thurston • Bulletin of the American Mathematical Society (1994)

This essay on the nature of proof and progress in mathematics was stimulated by the article of Jaffe and Quinn, "Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics".Their article raises interesting i...

OPENALEX Open Access DOI: https://doi.org/10.1090/s0273-0979-1994-00502-6

Mathematics in the streets and in schools

Terezinha Nunes Carraher, David William Carraher, Analucia Dias Schliemann • British Journal of Developmental Psychology (1985)

An analysis of everyday use of mathematics by working youngsters in commercial transactions in Recife, Brazil, revealed computational strategies different from those taught in schools. Performance on mathematical problems embedded in real‐l...

OPENALEX DOI: https://doi.org/10.1111/j.2044-835x.1985.tb00951.x

Mathematics, Matter and Method

Hilary Putnam • Cambridge University Press eBooks (1979)

Introduction 1. Truth and necessity in mathematics 2. The thesis that mathematics is logic 3. Mathematics without foundations 4. What is mathematical truth? 5. Philosophy of physics 6. An examination of Grunbaum's philosophy of geometry 7. ...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511625268

Mathematical Objectivity and Mathematical Objects

Hartry H. Field • Oxford University Press eBooks (2001)

Abstract Focuses on an issue about the objectivity of mathematics—the extent to which undecidable sentences have determinate truth‐value—and argues that this issue is more important than the issue of the existence of mathematical objects. I...

OPENALEX DOI: https://doi.org/10.1093/0199242895.003.0011