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Varieties of Constructive Mathematics

Douglas Bridges, Fred Richman • Cambridge University Press eBooks (1987)

This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, wit...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511565663

The Philosophy of Mathematical Practice

Paolo Mancosu • Oxford University Press eBooks (2008)

Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, ...

OPENALEX DOI: https://doi.org/10.1093/acprof:oso/9780199296453.001.0001

Problem-Based Tasks in Mathematics Learning: Opportunities and Challenges for Teachers

Sri Suryanti, Toto Nusantara, I Nengah Parta, Santi Irawati • JTAM (Jurnal Teori dan Aplikasi Matematika) (2023)

Mathematics education and teaching should not only include routine tasks; but tasks that need practice and memorization are mathematically more prosperous and more difficult because they promote problem-solving, investigation, and the disco...

DOAJ Open Access (DOAJ) DOI: 10.31764/jtam.v7i2.12864

Series Solution for Steady Three-Dimensional Flow due to Spraying on Inclined Spinning Disk by Homotopy Perturbation Method

Saeed Dinarvand • Journal of Applied Mathematics (2012)

The steady three-dimensional flow of condensation or spraying on inclined spinning disk is studied analytically. The governing nonlinear equations and their associated boundary conditions are transformed into the system of nonlinear ordinar...

DOAJ Open Access (DOAJ) DOI: 10.1155/2012/634102

What is mathematics, really?

• Choice Reviews Online (1998)

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolv...

OPENALEX DOI: https://doi.org/10.5860/choice.35-5132

Conceptual Mathematics

F. William Lawvere, Stephen H. Schanuel • Cambridge University Press eBooks (2009)

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning s...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511804199

Creativity: The Essence of Mathematics

Eric L. Mann • journal for the education of the gifted (2006)

For the gifted mathematics student, early mastery of concepts and skills in the mathematics curriculum usually results in getting more of the same work and/or moving through the curriculum at a faster pace. Testing, grades, and pacing overs...

OPENALEX DOI: https://doi.org/10.4219/jeg-2006-264

The Mathematics of Diffusion

I. I. Berenblut • Physics Bulletin (1956)

By J. Crank London: Oxford University Press. Pp.347 + vi. Price 50s. This book presents a full account of the differential equations applicable to many diffusion problems. Analytical discussions are given of a wide variety of problems, and ...

OPENALEX Open Access DOI: https://doi.org/10.1088/0031-9112/7/10/004

National Council of Teachers of Mathematics

• Mathematics Teacher Learning and Teaching PK-12 (1979)

Organized groups of teachers of mathematics or of individuals preparing to become teachers of mathematics may petition the NCTM Board of Directors to become affiliated with the Council. Affiliated Groups are entitled to send a delegate to t...

OPENALEX DOI: https://doi.org/10.5951/mt.72.8.0637