Zobrazeno 1 - 10
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pro vyhledávání: '"David J. Sprows"'
Autor:
David J. Sprows
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 24, Iss 4, Pp 251-255 (2000)
Let Mn denote the 2-dimensional manifold with boundary obtained by removing the interiors of n disjoint closed disks from a closed 2-manifold M and let Mn,r denote the manifold obtained by removing r distinct points from the interior of Mn. The subho
Externí odkaz:
https://doaj.org/article/9ffe97899f6f4ddf9ccbb4c5325f1e89
Autor:
David J. Sprows
Publikováno v:
PRIMUS. 21:189-192
The standard approach to the general rules for differentiation is to first derive the power, product, and quotient rules and then derive the chain rule. In this short article we give an approach to these rules which uses the chain rule as the main to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffe985da7cd706360d2c90815b9fea44
https://doi.org/10.1080/10511970903036361
https://doi.org/10.1080/10511970903036361
Autor:
David J. Sprows
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 46:477-479
This note uses material involving perfect numbers and Zeno's paradoxes to show that although most students prefer to use base 10 when working with mathematical concepts there are times when the binary system is best.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63f84e57ff3abf0fe9eca2c46bc3dcd2
https://doi.org/10.1080/0020739x.2014.985274
https://doi.org/10.1080/0020739x.2014.985274
Autor:
David J. Sprows
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 40:423-427
A number of schools have recently introduced new courses dealing with various aspects of iteration theory or at least have found ways of including topics such as chaos and fractals in existing courses. In this note, we will consider a family of funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1135bf234247a5251533446045adcd4
https://doi.org/10.1080/00207390802419545
https://doi.org/10.1080/00207390802419545
Autor:
David J. Sprows
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 38:663-666
This note considers a family of piece-wise linear functions that can be used in the classroom to illustrate various concepts involved in iteration theory such as periodicity. These functions require minimal background on the part of the student.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e22f75c3c69edcc5919484390d3f6811
https://doi.org/10.1080/00207390600838474
https://doi.org/10.1080/00207390600838474
Autor:
David J. Sprows
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 45:291-293
In this note, we discuss a technique that can be used to determine if certain primes, including 7, are divisors of a number. This technique does not involve division and, in some cases, is more efficient than the standard approach that uses division.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75b38adc59c5f9bb5dbc6fa67274dcd3
https://doi.org/10.1080/0020739x.2013.822585
https://doi.org/10.1080/0020739x.2013.822585
Autor:
David J. Sprows
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 48:130-131
The fundamental theorem of arithmetic is one of those topics in mathematics that somehow ‘falls through the cracks’ in a student's education. When asked to state this theorem, those few students who are willing to give it a try (most have no idea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::507c0c09fbbdde341a0833a6edb5fcb8
https://doi.org/10.1080/0020739x.2016.1199059
https://doi.org/10.1080/0020739x.2016.1199059
Autor:
David J. Sprows
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 41:1076-1078
This note can be used to illustrate to the student such concepts as periodicity in the complex plane. The basic construction makes use of the Tent function which requires only that the student have some working knowledge of binary arithmetic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::626132d05bfe96787040edecb117ce38
https://doi.org/10.1080/0020739x.2010.500691
https://doi.org/10.1080/0020739x.2010.500691
Autor:
David J. Sprows
Publikováno v:
PRIMUS. 6:381-384
The majority of calculus texts present the material on using the first and second derivatives to graph functions in a manner that leaves the student with a misleading impression of what can happen when the second derivative of a function vanishes. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0a5663d9c9b711efe6c6730536afb15
https://doi.org/10.1080/10511979608965840
https://doi.org/10.1080/10511979608965840
Autor:
David J. Sprows
Publikováno v:
PRIMUS. 14:40-42
This note considers some of the mathematical devices or “tricks” that have become a standard part of the presentations of such material as the division of complex numbers or the product rule for derivatives. Alternates to these tricks are discuss
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::253f4d33d944c75fe3caf7938a7953bd
https://doi.org/10.1080/10511970408984075
https://doi.org/10.1080/10511970408984075