Exploring Unknown Inside of us via Math

When you do math, what happens at the inside of you?

You see a quetion and begin to think about it as compared with what you have learned or logics with which you can operate. Then sometimes you reach the answer and occasionally lose your way. At the end, whether your output of the answer is correct or wrong, the course to the answer is from the inside of you.  I mean the answer does not spontaneously come from somewhere, but you think about it whether the answer is correct or not.  Let us think about the course at the inside of us, especially in brain, and widely in body connected with each organs.

Any examination or test requires the result, which is determined by others, so your thinking about questions must be output from your inside to check whether it is correct or wrong. We have met these kind of situation so many times that we care so much about our outputs. Of course, the outputs are from inside which can't been clearly seen, compared with the outputs of answer itsself. So brushing your inside up is definitely important, but the true step of study is ambiguous except the step of keeping practice.

Almost of us don't know exactly about what happens in a semiconductor when smart phone or PC works.  But we can use it without such high level knowledge.  Deeper knowledge of tools, generally speaking, are often useful. Our brain is a kind of a black box from an angle of science.  So what happens in your brain is still unknown when do math, and even when you speak.  Despite of the fact, taking care of what makes you to do such thing is very powerful, especially in your mistakes.

Please try mathing!

I am now challenging to give you the pleasure by following the course to the answer in these app. They are far from completion, but I hope you feel something. Please check them out! https://play.google.com/store/apps/developer?id=MathContext

Thank you for reading. Have fun!

No difference between Objective and Subjective

When you see an object, you can't see it objectively, it is usually said that to see things objectively is important though. You can't see anything without your own subjective view, even if it is scientific data. Furthermore, when you feel that you have an objective mind, it becomes more difficult to have suspicion about your vision. Why?

 

To see a thing itself requires a force of focus on the thing from its background. So you need to recognize at least two things, the thing and its background.  The two distances from you to the thing and its background respectively is different, so you unconsciously calculate and measure the difference of "distance".  Then what is the background? It must be different from each subject thing and in each individual.  

Any observation must be based on some measurement. We know that our sense is depend on our emotion which is moved or moves time by time. So the proper measurement is necessary, but there are no objective view, as mentioned above, considering its "background".

Therefore, independently objective or scientific is more important . Math is tool for objective measurement in its field. But the field is too narrow compared with the real world.

It's like darkness.  We can't recognize or measure our present "background".  So to see things may vary from a person to another.  It's like darkness.  But recognition of the darkness can be a thread of light. Math can be true to "touch" the light. Let us light out this world again with a bland new stuff. Concerning Math, please check these apps. http://play.google.com/store/apps/developer?id=MathContext

How this world is.

What is this world? How can we see it from which point of view?

 

When you see, hear, touch, smell, taste, or feel this world, mother language is so powerful to draw the experience. A color of red can be related to anything which you have memorized with the color.  From the point of view of common sense, a color of red is blood, sun, passion, danger or stop of trafic light.  So as mentioned above,  a sense of this world is usually described by mother languages.

As you know, there are many mother languages in the world and the meaning is different from each others as well as the difference of individual who uses words and its context even in the same language speaker.  

 

In the same world, there are mathematics, physics, biology and science. To see or feel this world by a observation can have many problems about the observation tool.

 

Math has its history over 2000 years, and Sir Issac Newton who wrote "The Principia", one of most important scientific book, developed differential and integral calculs in 17 century. 

 

Once you recognize something as what you think, it needs a huge amount of energy to amend the concept, which may be one of human brain nature. In 20 century, as the Newton's world had became familier with scientist and the concept of differential geometry was systemized, topology was born.  It is amazing that the new concept changes the world, even though this world is always changing under the principle of entropy.

 

Now for me, I would very like to develop my Apps of Math to see and feel how this world can be. It would not be a teacher, but programs that lead people to next paradime.

 

Thank you for reading, and please check out http://play.google.com/store/apps/developer?id=MathContext

Evolving Technologies

A bird can fly better than human, but an airplain made by human can fly faster and higher than a bird. Samely, an owl can see in the dark via infrared light, but a camera or scope manufactured by human can not only see in the dark, but also in the micro and macro world.

A teacher can teach math, but very near the future, program written by human will be able to teach math more efficiently to students or learners.

So "What is Teaching?".
Teaching is a counter part of learning. The subject is not teaching but learning at inside of a student, especially in brain, widely in a body of human being. There would be no need for a teacher to learn math, but a guide for students to go forward is required.  It is a student or learner that acquires the knowledge and technique of Math.  Sometimes, a teacher can guide stuedents forward the math road, but the same time, many many students in the same class hate math.

Now I would like to introduce the Math App for android. These Apps are for calcuration, linear equation and function, geometry and differentiation, respectively.
http://play.google.com/store/apps/developer?id=MathContext

Please check it out!
If you have any questions, please comment or email me. Thank you for reading.