摘要:

The pitch and central axis of the wrench equipollent to a general load system are obtained by means of a minimization process. Firstly the load system is reduced to a point force and a point couple and the critical points of the expression for the couple are found. Next it is shown that the equipollent system associated with these points is a wrench. Finally, the equipollent wrench is utilized in the derivation of some familiar results for distributed load systems.

ISSN:0020-739X    

DOI:10.1080/0020739730040201

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

This paper discusses various aspects of mathematics examinations and gives the results of some experiments which highlight the discrepancies that arise between the marks obtained in two equivalent mathematics examination papers.

ISSN:0020-739X    

DOI:10.1080/0020739730040202

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

With the great emphasis now being placed on the importance of ‘rigour’ in new mathematics programmes, many educators have been led to disparage intuition as the vitally important tool that it is in developing mathematical insights. Increasingly one sees evidence, even in technical schools, of pupils actually beingdiscouragedfrom arriving at mathematical perceptions through unorthodox (and uncontrollable!) channels of analogy involving considerabledivergentthinking or through consideration of physical models with which they are familiar.

ISSN:0020-739X    

DOI:10.1080/0020739730040203

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

The author reviews the present state of mathematics in schools and universities in Tanzania and the development of new syllabuses at all levels to take into account the increasing use of digital computers in everyday life. Some examples are given of the use of scientific computing, in particular, problems which are encountered in a developing country.

ISSN:0020-739X    

DOI:10.1080/0020739730040204

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

A procedure for the selection of an independent sub‐set of chemical equations from a larger set is described and exemplified. The procedure is of a more operational nature than previously employed methods and has been incorporated in a digital computer program.

ISSN:0020-739X    

DOI:10.1080/0020739730040205

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

According to psychological theory, immediate reinforcement in the teaching of mathematics or any other subject is believed to be one of the main requirements for efficient learning. Nevertheless, in university service courses (see definition in the introduction to this paper) insufficient attention has as yet been given to this aspect.

ISSN:0020-739X    

DOI:10.1080/0020739730040206

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

Open‐book examinations present special problems for the candidates and examiners alike compared with more conventional assessment methods. But open‐book examinations are here to stay, and all concerned should do their best to ensure that they fulfil their desired function.

ISSN:0020-739X    

DOI:10.1080/0020739730040207

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

Logarithm tables and a slide rule can be constructed to one‐figure accuracy in a few moments of simple calculation by an individual. A group of students with the aid of tables of roots and powers can quickly achieve two‐digit accuracy. By using compound‐interest tables, three‐digit accuracy may be achieved without undue effort. No knowledge of infinite series or other advanced topics is necessary, and indeed experimental search for a way of multiplying by addition can be carried through successfully without the logarithm concept or as an introduction to it. The paper sketches some possible classroom procedures and gives examples of the devices that may be discovered by the student.

ISSN:0020-739X    

DOI:10.1080/0020739730040208

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

It is a well‐established fact that students learn better and retain longer the material to which they have been exposed in a meaningful way. A mathematical proof becomes more meaningful if an effort is made not only to point out the logical chain of assumptions and theorems that lead to the proof but also to explain the psychological background and motivation that led its author to take the particular steps he did.

ISSN:0020-739X    

DOI:10.1080/0020739730040209

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

In this paper we discuss three ways of introducing calculus all based on concepts which students would either already know or which can be introduced without much difficulty at this stage of their mathematical training. The aim of this paper is to persuade teachers of mathematics that topics in ‘higher mathematics’, specifically calculus, can and should be presented to students in terms of concepts with which they are familiar.

ISSN:0020-739X    

DOI:10.1080/0020739730040210

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor