摘要:

The authors compare the work of the A.P.U. in mathematics and in science, and present some of its results. They note that pupils do not perform as well when using mathematics in a scientific context as they do when just doing mathematics, because of the difficulty in dealing with the extra information involved.

ISSN:0020-739X    

DOI:10.1080/0020739830140501

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

A gauge function on a commutative cancellative monoid M is a map p : M?Z+(the set of nonnegative) integers such that for all a,b ϵ?M, p(ab)≥ p(a)+p(b) and p(a) = 0 if and only if a is a unit. In [3], it is shown by V. Srinivasan and H. Shaing that if the monoid of nonzero elements of an integral domain A in which finitely‐generated ideals are principal admits a gauge function, then A is a principal ideal domain. In this paper I show that M admits a gauge function if and only if for each nonunit a ϵ M there is a positive integer N = N(a) such that α is a product of no more than N(a) irreducibles. An example is given to show that this latter condition is stronger than the divisor chain condition defined in [2, 2.14].

ISSN:0020-739X    

DOI:10.1080/0020739830140502

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

An attempt has been made to present an overview of various learning theories keeping in view the psychological aspect of problem solving behaviours of children and to explain the processes by which problem solving skills are acquired and applied. The four important research variables—as described by Lester (task, subject, process and instructional variables)—have been discussed and some research questions have been formulated for further research investigations in the area of problem solving.

ISSN:0020-739X    

DOI:10.1080/0020739830140503

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

This article considers an investigation into powers of cyclic matrices carried out by two undergraduates independently on separate occasions. Their learning processes are described and the problems they encountered as the investigation proceeded are analysed.

ISSN:0020-739X    

DOI:10.1080/0020739830140504

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

A computer program in PASCAL has been developed in order to use a video terminal as a desk calculator when operating complex numbers (multiplication, division), vectors (dot product, cross product), quaternions and polynomials in higher dimensional vector and spinor algebras. A copy of this program on magnetic tape or floppy disk is available on request from the authors.

ISSN:0020-739X    

DOI:10.1080/0020739830140505

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

If abounded linear functional defined on C[ — h, +h] is applied to an analytic function, a power series in h is often obtained. A method is presented here by which inspection of the coefficients of this series allows us to find the error term for the functional. This method is more easily applied than others which study the functional itself.

ISSN:0020-739X    

DOI:10.1080/0020739830140506

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

Many teachers and textbooks mention ‘three and a half basic congruence theorems: SAS, ASA, SSS and HL for right triangles. Why do they neglect the SSA theorem? A recent article [1] investigated the SSA theorem, but it seems necessary to extend and, in one point, to correct the result given there.

ISSN:0020-739X    

DOI:10.1080/0020739830140507

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The use of Schwarz‐Christoffel transform of the complex variable theory is shown to be well‐suited for the evaluation of certain improper integrals arising in potential problems, in closed form.

ISSN:0020-739X    

DOI:10.1080/0020739830140508

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

One method of relative evaluation of higher education towards the formation of engineers is making comparisons of course structures, syllabuses, etc. It is suggested that this is not likely to be very useful because of the widely varying needs of the profession.

ISSN:0020-739X    

DOI:10.1080/0020739830140509

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739830140510

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor