On the Teaching of Axiomatic Probability for Students of Science and Engineering

DOI

10.2991/assehr.k.191221.073How to use a DOI?

Keywords

axiomatic method, probability space, conditional probability, active learning

Abstract

Axiomatic method is an important characteristic of Mathematics. The teaching of axiomatic method can cultivate students’ rigorous logical deduction ability, and also enhance students’ cognition of relevant mathematical knowledge. For most students majoring in science and engineering, the axiomatic method of probability is abstract and difficult. The teaching of axiomatic probability is also considered to be only a matter of strictness by some teachers. Thereby, the teaching of axiomatic method of probability is often neglected for the sake of easy understanding. However, the unfulfilled teaching in axiomatic probability will affect students’ understanding of conditional probability. It may even lead to mistakes in probability calculation. Such an example with different solutions is discussed in this paper. Meanwhile, based on the axiomatic probability method, the reasons for several typical misreading of conditional probability are analyzed respectively. Furthermore, the key teaching points of axiomatic probability for students of science and engineering are discussed.

Copyright

© 2020, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Kunping Zhu
PY  - 2020
DA  - 2020/01/09
TI  - On the Teaching of Axiomatic Probability for Students of Science and Engineering
BT  - Proceedings of the 2019 3rd International Conference on Education, Economics and Management Research (ICEEMR 2019)
PB  - Atlantis Press
SP  - 309
EP  - 313
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.191221.073
DO  - 10.2991/assehr.k.191221.073
ID  - Zhu2020
ER  -