Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 11 of 11
Full-Text Articles in Education
Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier
Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier
ACMS Conference Proceedings 1979
This paper explores the pedagogical decisions made by those teaching mathematics by discussing the various values and priorities of a mathematics course.
Mathematics In The Christian Philosophy Of Life, C. Ralph Verno
Mathematics In The Christian Philosophy Of Life, C. Ralph Verno
ACMS Conference Proceedings 1979
It is universally agreed that mathematics is important, that it is indeed very significant in life. This would be admitted even by those who are ignorant of or who dislike mathematics. There would be much less agreement, however, about why mathematics is important or significant. Such disagreement exists even more among mathematicians and mathematics educators. Unhappily many of the Christians who think about such things (and there are not very many who think about them at all) basically share the utilitarian view of many non-Christian thinkers, although endeavoring to place it within a Christian context. They think it is wonderful …
Brief Position Paper For Panel Discussion On Relation Of Mathematics And Christianity, C. Ralph Verno
Brief Position Paper For Panel Discussion On Relation Of Mathematics And Christianity, C. Ralph Verno
ACMS Conference Proceedings 1979
Some people view a conjoining of Christianity and Mathematics as improper. They miss the point of the relationship. The content of mathematics is not affected by Christianity. The relationship does not concern what, or how (the Christian doesn’t solve equations or differentiate differently), but it concerns why. It concerns such things as the interpretation and appreciation of the beauty, the symmetries, the coincidences, the remarkable properties, man’s creative role, etc. This paper explores the relationship between Christianity and mathematics as part of a panel discussion on the topic.
On Kuyk’S Complementarity In Mathematics, Gene B. Chase
On Kuyk’S Complementarity In Mathematics, Gene B. Chase
ACMS Conference Proceedings 1979
This paper examines Willem Kuyk’s book, Complementarity in Mathematics, and the interplay between the subjects of mathematics.
Are Mathematical Objects Ontologically Real? Ideas And Suggestions, Frank R. Bernhart
Are Mathematical Objects Ontologically Real? Ideas And Suggestions, Frank R. Bernhart
ACMS Conference Proceedings 1979
This essay will consider a few ways that realism in the modern philosophy of mathematics might be understood and defined.
Intuitionism, Terence H. Perciante
Intuitionism, Terence H. Perciante
ACMS Conference Proceedings 1979
Intuitionism derives philosophically from Kant's Conceptualism -- the object of the mathematical knowledge only have reality within the mind, they do not have reality apart from our thinking. This paper examines the nature of intuitionism and its strengths.
Non-Standard Calculus, Ron Friewald
Non-Standard Calculus, Ron Friewald
ACMS Conference Proceedings 1979
This paper is intended to provide a very cursory introduction to how “nonstandard calculus” works, giving a sketch of how elementary calculus can be presented using hyperreal numbers.
Axiomatic Structure And The Method Of Analysis: Shifting Styles In The History Of Mathematics, Calvin Jongsma
Axiomatic Structure And The Method Of Analysis: Shifting Styles In The History Of Mathematics, Calvin Jongsma
ACMS Conference Proceedings 1979
This article surveys the different views of mathematical methodology that occurred from ancient Greek times through the early modern period up until its codification around 1900. After summarizing the axiomatic approach advocated by Aristotle and implemented in mathematics by Euclid, the talk explores the character of analysis in ancient Greek times, its development into a symbolic algebra by Viete and Descartes, and its expansion into a calculus of fluxions and differentials by Newton and Leibniz. The article concludes by touching on the recovery and transformation of the deductive ideal for mathematics by Pasch, Peano, and Hilbert during the late nineteenth …
Two Philosophical Problems About Mathematics, Stephen Barker
Two Philosophical Problems About Mathematics, Stephen Barker
ACMS Conference Proceedings 1979
Mathematics is a flourishing field of human endeavor, a field that is accorded great respect and high standing. For 2500 years or more, many of the best minds available have worked in this field; and the results produced have indirectly been of enormous value to other fields, such as physics, engineering, architecture, economics, and so on. But with is mathematics about? Physics studies moving bodies; engineering studies bridges; architecture studies buildings; economics studies commercial behavior: here there are phenomena we can point to that constitute the subject matter. But what does mathematics study? If you answer “Numbers”, or “Abstract types …
Introduction (1979), Robert Brabenec
Introduction (1979), Robert Brabenec
ACMS Conference Proceedings 1979
No abstract provided.
Table Of Contents (1979), Association Of Christians In The Mathematical Sciences
Table Of Contents (1979), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1979
A Second Conference on the Foundations of Mathematics