Why Is the Natural Logarithm e Called “Natural”?
Why Is the Natural Logarithm e Called “Natural”?Mandarin
Rongxiu Huang, Math Teacher
Verakin High School of Chongqing, China
This lesson is about natural logarithm e. The lesson introduces the concept of e and some applications of e in real life, such as the marriage selection problem. The objective of this lesson is to understand that e is natural. Through this class, students should be able to learn how to calculate compound interest and how to apply the probabilistic method to obtain the optimal solution in the marriage problem or similar problems. As a prerequisite to this lesson, students need some basic knowledge of power calculation, interest calculation, classical probability and calculus. This lesson takes about 50 minutes. The class activities include compound interest calculation and a card playing game, etc. Students only need some paper, pens and calculators for the class activities.
Rongxiu Huang liked Math in middle school so she chose Math as her college major. She has taught high school math for eight years and has loved teaching very much. She is interested in studying teaching theories, especially new pedagogies. She is pleased to present her BLOSSOMS lesson to you, which is fun, encourages self-directed learning and enriches the learning experience.
- Teacher Guide: English (PDF) (PDF)
- Teacher Guide: English (Word) (MS Word)
- Teacher Guide: Chinese (PDF) (PDF)
- Teacher Guide: Chinese (Word) (MS Word)
Additional Online Resources
Demystifying the Natural Logarithm (ln)
This is a clear explanation on the topic presented by Better Explained: Learn Right, not Rote.
This is a Wikipedia entry on the topic of Natural Logarithms.
Introduction to Natural and Common Logarithms
This is a short tutorial on Natural and Common Logarithms presented by the Monterrey Institute.
The Secretary Problem
This is a Wikipedia entry on the topic that demonstrates a scenario involving optimal stopping theory
When to Stop Dating and Settle Down, according to Math
This article from the Washington Post clearly explains how the Secreatry Problem works.