摘要:

The zero‐address code output from a computer compiler proves to be useful in producing computer enhanced learning material in mathematics education. The authors adapted a program to produce this code for mathematical expressions. This code is then interpreted in a number of different ways which prove useful to the teacher. In particular, programs are produced capable of evaluating and plotting non‐continuous mathematical functions, and, symbolically differentiating a function in the variablex.

ISSN:0020-739X    

DOI:10.1080/0020739920230501

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

Given the current score we compute the probability that each team wins the game assuming that each team has a constant probability of scoring a point whenever the ball is served by the team.

ISSN:0020-739X    

DOI:10.1080/0020739920230502

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

The problems associated with current advanced mathematics courses are discussed which lead to a rationale for the development of a new coursework syllabus. A description of the course is given with an outline of the framework and the assessment arrangements. Sample assessment tasks are provided with the objectives and associated criteria statements that are used for the assessment of the coursework.

ISSN:0020-739X    

DOI:10.1080/0020739920230503

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

The problem of reflection of water waves by a nearly vertical wall is studied. A simplified perturbational analysis followed by Havelock's expansion of water wave potential is employed to tackle the problem. Assuming some particular shapes of the nearly vertical wall, first‐order correction to the reflection coefficient is calculated for deep water as well as for uniform finite depth of water.

ISSN:0020-739X    

DOI:10.1080/0020739920230504

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

It is shown that the correlation coefficient p can be applied to measure the degree of linearity of relationships commonly encountered in calculus. As illustrative examples, p is discussed for the power functiony=xnand fory=sinx.In addition, the degrees of linearity of the sine and tangent functions are compared over subsets of the interval—π/2<x<π/2.

ISSN:0020-739X    

DOI:10.1080/0020739920230505

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

The field of mathematics, especially the ‘applied’ type, developed independently in each of the four great ancient civilizations of Egypt, India, China and Babylonia out of practical necessities of daily life. This development eventually reached Hellenic Greece which did a lot to advance and transform it, paying particular attention to the ‘pure’ rather than the ‘applied’ type. Because of their similar nature and structure, mathematics is now greatly applied to science. Mathematization of science has several important advantages, including the fact that it facilitates understanding and operationalization of science. Its main disadvantages, however, are that many users perceive it as difficult and are deficient in it; suggestions are offered as how to remedy the deficiency.

ISSN:0020-739X    

DOI:10.1080/0020739920230506

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

Here is a discovery‐type proof of a strong theorem on variation of parameters. The theorem avoids any continuity assumptions on the given functions; and the proof uses little more than the definition of the Riemann integral.

ISSN:0020-739X    

DOI:10.1080/0020739920230507

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

Ageometrical problem gives rise to a doubly infinite set of infinite products which contain the Wallis product as a special case. Slow convergence requires the use of acceleration techniques.

ISSN:0020-739X    

DOI:10.1080/0020739920230508

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

It is seen that Ulam's conjecture ‘ifdis a metric on Rnwhich induces the usual topology on Rn, then the set of bijective mappings in Rnwhich preservedis a group under composition and is isomorphic to a subgroup of the group of mappings which preserve the usual metric’, holds in the cases studied above.

ISSN:0020-739X    

DOI:10.1080/0020739920230509

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

Students of all ages find mathematics difficult toplaceas a human activity, because they fail to see its ‘point’. This puts a big question mark over the subject for them. Unfortunately, we, as teachers of mathematics, often fail to project a sufficiently clear concept of this ‘point’ when we teach students or write mathematics textbooks.

ISSN:0020-739X    

DOI:10.1080/0020739920230510

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor