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2019-01-22 By the way, the theory of "Do we need trigonometric functions" is applied to studies in any field and can be expanded to an unlimited extent. [長年日記]

(Continuation from yesterday)

We cannot finish discussing this topic using a logic(reasoning).

We do not have a method to rationally judge "what kind of range of mathematics should be" to "force" to students.

For example, It can not be explained logically that "Trigonometric function" is necessary, however, "Development of differential equations into general solutions" is unnecessary "

By the way, the differential equation, in short, is a method to calculate for example "How long will it take for me to fill up after I put water in a barrel with a hole?" to few seconds in a comma.

If the water pressure changes according to the water level in the barrel, the momentum of the water will change, and as the amount of water changes, water pressure also changes. Therefore, we can not calculate it by mere division.

So, a commonly used (laughing) story is that, "First of all we will close the barrel hole. (It goes without saying) this "barrel" is a metaphor of "Japanese population and death rate and tax revenue".

However, it is true that differential equations are fearfully useful "tools". But we do not know whether I can put it into the range of "Mathematics to force" to the students in the end.

Therefore, the discussion of how much content is necessary in mathematics education is "unknown" thoroughly.

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By the way, the theory of "Do we need trigonometric functions" is applied to studies in any field and can be expanded to an unlimited extent.

Specifically, it is like this.

Do we need classics ? -> Is there no scenario to use?

Do we need history -> What do you do with old story?

Do we need English -> (According to the Ebata's trial calculation) only 4% of Japanese people use English.

Do we need modern Japanese -> Do you only need to know the Kanji enough to read the paperback?

Do we need physical -> Is there a necessity to run or jump in everyday life?

Do we need science ? -> What color litmus paper is so important?

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In this way, as we pursue this theory, in the end,

"People who are interested in that study, study that field. "

"The state need not provide educational services for all children"

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"A human being who can coexist with a broad perspective and a high degree of intelligence disappears"

"Citizens who can communicate only with knowledge of both low intellectual level and common sense, are mass-produced"

"Our society will be completed as a diversity-free, intolerant society" -

Well, it might be settled like this.

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However, nobody would like this society,

So, it is not "logic" but only "past record", to explain this story.

(To be continued)