摘要:

The question ‘What is mathematics?’ has been answered in numerous ways, each providing its contribution to the general understanding of the nature of mathematics. The perspective offered in the present note sees mathematics as a science of model building. To confirm that the situation with respect to computer science is not an isolated phenomenon, we shall begin in § 1 with an historical overview of the model building‐character of mathematics. Following this, in §2, we shall consider the example of computer science. In §3, observations concerning this view of mathematics are given.

ISSN:0020-739X    

DOI:10.1080/0020739890200211

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

Results of mathematics testing of 14‐year‐olds and college freshmen in the West Bank indicate more substantial variation on the basis of cultural factors than on the basis of gender. In particular, no significant difference in the mathematical abilities of men and women appeared in the college group.

ISSN:0020-739X    

DOI:10.1080/0020739890200212

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

Although statistics is a rational subject, it does not follow that students can or do learn statistics in a rational way. Students learn statistics in the pattern‐forming mode more than in the rational mode. The paper describes and compares the two modes, and identifies three conditions that prevent or discourage learning in the rational mode. The diagnosis of pattern‐forming de‐emphasizes mathematical derivations and proofs as a means of allowing students to understand statistical concepts. The primary recommendation is that the teacher should deliberately manipulate the pattern‐forming process. The underlying idea is for the teacher to view the process for what it means to the student.

ISSN:0020-739X    

DOI:10.1080/0020739890200213

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

Several of the psychological notions inherent in the Peano Postulates are discussed in this paper. It is intended as an heurism for the theory of semigroups.

ISSN:0020-739X    

DOI:10.1080/0020739890200214

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739890200215

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor