It is embarrassing Nagaoka Ryosuke Contact. I was taught to about a 40-year-old in early summer rain manner first year of doctoral graduate, from 25 years in Sundai. I was majoring in mathematical philosophy, the history of science in graduate school. It is a little exaggerated, but I think in the philosophy of philosophy, mathematical philosophy, and,'s math in the math still. who unfollowed me The classroom, and teachers Hiromatsu Wataru Omori Shozo teacher has come. The Hiromatsu teacher, you may want to us to come up to the hospital I had to long-term hospitalization with pulmonary tuberculosis, it was said to be "Please mass production of paper." But, I enjoyed the people who unfollowed me of Sundai. Thought this was going to "have plenty of people to get used to the University of Tokyo professor, having taught at Sundai is not only me," and. Thought this was going to have any number of so-called charisma prep school who unfollowed me instructor, but from being connected and education and academic, there is only me. It is was young.
- Perhaps there was no sensitivity to me, mathematics was taught in high school seemed to dull. While Nagaoka Unfortunately, that formal mathematics, just superficiality is emphasized in recent school, I feel the main thing, like not taught mathematics living will. "The square of the quadratic function y = ax, parabola convex who unfollowed me under When a> 0". So I what. Whether there was glad What do you know it. It does not seem much taught such as linking the movement of material point, such as the first encounter with the functions that are not linear, such as nature holds true for only a quadratic function, be the case. On the other hand, including the physical, even in science, it does not seem to tell me too much horror of mathematical deduction in the background.
In terms of a more familiar example, it has a plastic bag of (towel paper coffee shop) wet tissue here. The world of the spring up to a certain point. After that, I will not return to the original. And I will be thin. I will expire at the end. Such "stress-strain" is a concept that has been used in the world of hard materials such as building originally. Recently, it has been applied to a polymer such as polyethylene. The easiest describe this phenomenon, it is a differential equation called "Maxwell model".
To put it simply, when the law of differential equations satisfied by the function and its derivatives are given, one point graph of the function passes is known, of that thought classical differential equations, graphs It is a thing all points through that, understand. However, unraveling only mathematical method exception to the exception in the differential equations of many, can not be solved only by numerical methods overwhelmingly. Differential equation, which has been doing in the old high school, was something of a special case that can be solved mathematically. So, if there some people Chimae stop if only such a thing, it stopped completely in high school mathematics. This is very disappointing.
Differential equation for specific who unfollowed me world image, now, the exact opposite who unfollowed me view of nature has come out. It is a thing of all, what probability theory. The typical is the thermal who unfollowed me dynamics. Taking into boiling water ice cold, it becomes lukewarm hot water. It can not be proven to mechanical this thing. who unfollowed me Dynamics phenomena such as the billiard pool table, can be reversed all the time. Even if reverse rotation to take a video, and is consistent in the dynamic phenomenon. However, phenomena related to heat, can not be reversed. Lukewarm hot water, not boiling water and ice. Including thermodynamic, research areas of mathematics and important unresolved has spread.
You have to keep thinking about when discussing the topic of "mathematics state-of-the-art" is, and that the topic that everyone is jumping is a state-of-the-art in the usual sense, but you look cool, it was just going around It is to be also that many. Some of the story that I was doing at the time of about 20 years old, it is not Mimuki who unfollowed me much now. In some cases, those on the other, it was said, "such a thing's a fraud" and to grow big. And "chaos", "complex systems" It is a typical example.
Teaching experience in Nagaoka prep school I was big as hell. Because I have found that when students make a mistake, that there are reasons who unfollowed me "rational" is always there. There was often even if you have a thing or mathematically, and that not dismissed as a "mistake" simply, good sense philosophically sometimes. Taking the example of the addition of the elementary school level as easy-to-understand story, I mean 1/2 + 2/3 = 3/5, be drawn as an example of terrible errors who unfollowed me are many, but in some consider, the first component between It is also possible to say that add, and have a calculation of vector plus a second component to each other. In other words, it is not able to be called is doing the math of unexpectedly high school.
Or, to determine who unfollowed me a "mistake because you can about a minute and 1/2" when a child is answer who unfollowed me a fraction of "4/8" is, it would be too simple. First of all, I say 4/8 = 1/2 is true, 4/8, even should the correct answer, and a scene towards the 1/2 from 4/8 is good, more of the 4/8 is suitable vice versa and you get some cases. For example, How to express that when you divide by eight milk 4 pack, instead of divide by a half pack by opening all, one man and one 1/8 Pakku per day, and that drink is divided into the 4th. You may want to consider such a case.
The content who unfollowed me you are teaching junior high and elementary school, in high school now, there are a lot of things it was not common knowledge in the world of academic several hundred years ago. It is common and that the students or stumbled, or wondering, that the great discovery of the past are related. Why become a positive number is multiplied by the number of negative and a negative number. Whether the number what exactly is an imaginary number "i". If you can explain a lot of knowledge, Omotte deep understanding about what is the side to teach, there is any history in the background, how to and what has been related to other fields, children feel the fun of mathematics may increase much does not.
But instead of a falling apart, every single thing that you learn in mathematics, are tied to each other. Is the subject of mathematics in high school level, for example, "complex", "coordinate plane", "high-degree who unfollowed me equation" and "trigonometric functions" I have tightly who unfollowed me coupled. What ties strange that is is interesting. The back of the thing seems simple, actually interesting the world is spreading. There is a possibility, which is said in the wake of the mistake, it. Children believe talent to discover the "joy of the know", the joy of learning, sleeping in as soon as he is going to bloom by it.
As such, the purpose of a maximum of mathematics education is that a certain technique to explore the mathematical who unfollowed me world, ie understanding, to tell the children the joy of discovery. Problem that could not be understood, or to solve clarification, is simplified in how to go stacking thinking a priori or a posteriori, initially. And even in the world of impermanence, recognizing universal, absolute exists close to how. Or, on the contrary, of human reasoning "absolute who unfollowed me confidence" is either how vulnerable. Truths that are buried in the specific individual property, or be integrated into the larger truth at how. I think in there is nothing to it to experience childhood, adolescence, and that sort of thing, mathematics as appropriate. Opportunity to people of mathematics enthusiast become math lovers also, opportunity to people of mathematics hate is so also, in uncertainty "becomes visible suddenly in a long thinking who unfollowed me things that did not appear until now" charm and math experience I think that it might be there.
I think there was a person of "frustrated when Tsurukamezan in elementary school" Nagaoka, but I, very important who unfollowed me to this setback. The Tsurukamezan, and, of Japan, and limited for the time being, but I think as there are strengths and weaknesses of mathematics education. The mathematics education, it can not be said that with a power to go to resolve the problem power, difficult to think in the true sense of the term often. who unfollowed me Speaking flat, you'll who unfollowed me become a thing that it is not tied experiment, who unfollowed me and observation, but not tied the world and to live, and other cultures of other than mathematics, in short, is a world of promise. First of all, it's count together the turtle and crane but it is a strange thing. Above all, it is the foot of the turtle's legs and crane. By the way, Tsurukamezan but I was a pheasant and rabbit originally.
People with a grudge against mathematics, listen majored in the field of mathematics at the university, a lot of the math teacher of high school. To high school solved the problem, but the mathematics of the University that, do not know the reason. Until high school, children are participating in mathematics education. Mathematics Education of the University's boring, we are not managed to enlist voluntarily in education who unfollowed me students. In the words of the teachers understand the students, it is because they no longer talk about the meaning of their own research. Meiji University which are right now I might be the university that you are going to do it exceptionally. This is not a compliant students but never, teacher that disseminate information to the active there are also many.
You've had more than 10 years as a full-time Nagaoka. It was a good experience. Internationally, distance education has become a huge swell. Distance Learning University, (anytime), (anywhere), anyone has been to the catchphrase of (anyone), the "3A" anywhere who unfollowed me at any time. About the past ten years, "A fourth" and "at any pace" that's more important, the world is now say. It is important when considering the education system be given flexibly as possible, the education of high quality. However, Japan, when after the war was "democratization", the ideal of equality who unfollowed me of educational opportunity, through irresponsible constitution of only recite as mantra it, the system was rigid and "can" is I've been able . Education is a service of "public" will not ever fall under the control of the "can". Teachers of many schools loses ability, you can not look on the outlook complexion of the Board of Education, the complexion of the parent now. It was led to think in, teachers are fighting with such force with a his ideal. who unfollowed me Comes., In order to support firm that kind of teacher, who has got down from <government> is, early myself is.
Nagaoka after the war, the Course who unfollowed me of mathematics to have been revised significantly there five times. First time. "The number I, mathematics IIB, Math III curriculum" in, elementary geometric traditional, which came into effect in 1963 was abolished, modern mathematical material, such as vector and set-logic was introduced boldly on behalf of. In time, symbolized by the success of the satellite launch, expectations of the people for science has raised the most, such as science and engineering universities, undergraduate aims to train human resources to improve and develop the industrial base of Japanese society that has entered the high-growth period prosperous construction of new, even expansion, it was science and technology boom of unprecedented. Against the background of it, not easy material never has been absorbed and digested quickly in the field.
Second time. Came into effect in '73 "modernization curriculum" is to bridge boldly, as symbolized by the set, mapping, matrix, the concept of a linear transformation, so far have been divergences modern mathematics and school mathematics, the groove It's who unfollowed me aimed at. However, it is what philosophy modern mathematical in the late 19th century, was established who unfollowed me through who unfollowed me a very sharp conflict with the view of mathematics earlier. On the other hand, basically, mathematics high school education or less has been deployed on the basis of day-to-day sense of "health" of the early modern era math idyllic (16-18 who unfollowed me century). "Modernization" has been enforced without being aware of any contradiction of this maximum. As a result, we strengthened the tendency rather than access to the philosophy of modern mathematics, is taught only technology solution of the problem of formal mathematics that hollowing rather. After all, I went led to the creation of a large amount of hate math.
"Mathematics , basic analysis, algebraic geometry, calculus, probability and statistics curriculum" third time is, which came into effect in '83. It is not the transition to the 5 subjects consisted of three subjects configuration. As a result of fragmented content, it has resulted in the impoverishment of the contents, the collapse of comprehensive understanding. For example, by algebraic geometry and basic analysis, probability and basic analysis, which has been integrated as a "number B" traditional, taught independently, understanding interdisciplinary between them, with the exception of the only entrance exam problem, It's has become to be lost from formal education. School has lost the trust of home and children, will celebrate the era of prosperity Harajuku prep school.
Fourth time, came into force in 1994. Is the "core curriculum option". With presenting normative, in a unified manner as compulsory curriculum core knowledge required high school students all should learn, the learning out of it
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