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亮月的冠军之路

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Don't aim for success if you want it, just do what you love and believe in, and it will come naturally.

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(原创)Researched The Effect of Data and Derivation of the Chinese New Year Gala viewing rate. Published in Beijing Gao Zhong Math Journal in English. 我和《中学生数学》  

2015-10-15 15:27:01|  分类: 学习 |  标签: |举报 |字号 订阅

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我和《中学生数学》 - 亮月 - 亮月的冠军之路
       北京首都师大附中国际部梁宇学校长,是国家特级教师,用英文讲数学,而且是可以带研究生数学的呦!我数学一直底子比较薄,但是在梁校长亲自的指导下,有了很大进步,虽然现在我已经不在她的麾下上学了,但我永远都是她的学生。前一段时间我有一个课题,直接去找老校长请教,写出微积分论文后居然在《中学生数学》高中版刊登了出来!这给我很大的动力,对数学产生了浓厚的兴趣,以后谁也不能说我偏文科!

我和《中学生数学》 - 亮月 - 亮月的冠军之路
                                            因为博客这里的格式问题,文章中的表格和计算公式等无法显示粘贴,看链接吧。。。

(http://xueshu.baidu.com/s?wd=%E5%AD%99%E5%83%A1%E7%A7%8B&tn=SE_baiduxueshu_c1gjeupa&ie=utf-8&sc_hit=1) 

The effect of data and derivation

The Spring Festival Gala is always an indispensable main course on the Chinese Spring Festival dinner over the years. But since I can remember, the show falls into the situation that controversy occurs every year.

In junior high school, my explanation of this phenomenon is that the reaction nerve will be numb with repeating stimulus. The first Spring Festival Gala made everyone cheer. As more sessions are held, the stimulus is weakened. The feeling about the Spring Festival Gala is less enthusiastic even the program itself is improving.

In senior high school my understanding has improved: the explanation in junior high school is just my subjective feeling. So, I am always considering how to demonstrate from a scientific view.

In the second year of my senior school, i tool two elective courses: advanced Calculus course and advanced microeconomics course in American universities. When I learnt the knowledge, namely "to function derivation" and "the law of diminishing marginal utility", the idea of demonstrating the reason of this social phenomenon from a scientific view suddenly came to my mind.

Then, I started to solve the problem bothering me all the time with my knowledge.

My first base is one of the classic economic theories: the law of diminishing marginal utility. Under the premise that other conditions remain unchanged, when a person consumes a certain items, with the increase in consumption, the effect he gets will be less and less. The phenomenon widely exists, and is regarded as a rule. This rule meets my subjective feeling of junior high school, but it lacks real data and the analysis of data as a support.

So, I collected the 13 sessions of show ratings data from 2003 to 2015. From the following table, we can see, with the increase of the sessions held, the show rating shows a fluctuating trend, but the overall trend is decreasing.

The show rating form of the Spring Festival Gala 

year

session

rating

2003

1

38.60%

2004

2

41.60%

2005

3

36.70%

2006

4

34.70%

2007

5

33.00%

2008

6

32.29%

2009

7

34.82%

2010

8

38.26%

2011

9

31.04%

2012

10

32.75%

2013

11

31.17%

2014

12

30.98%

2015

13

29.60%

 

We can set x as the rating, y as the session. We can find the relationship between rating and session by Excel:  

Then make derivation of the function:

Then we can analyze, when x<19,  

It means in 19 years, the rating  will be negative derivative. In the other words, the rating in 19 years will be negative growth.

As for 19 years later, excluding human factor, the rating will show an increasing tread.

In the process of solving this problem, I do not only realize to use Calculus to explain social phenomenon, but also realize the importance of using real data and developing a rigorous mathematical reasoning habit. I really enjoy the process of solving the problem bothering me for years.

我和《中学生数学》 - 亮月 - 亮月的冠军之路
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