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Article by jekky
Mathematics teaching in primary schools to allow students to independently explore, learn to learn mathematics is a reflection of the spirit of independent study. Teachers should help students build understanding of the process of cognitive training methods to raise consciousness of students to play the main role, so that students according to their experience, their way of thinking freely and openly to explore, discover, to think.
Of motivation on learning plays a key role, it is a catalyst for meaningful learning activities. In the actual teaching, to introduce students to the rich
Education Significance of the history of mathematics, mathematicians stories and interesting mathematics, mathematics in the practical application of such knowledge, the induction by interest, stimulate and raise the students formed the motivation to learn mathematics. If the arithmetic series and explain the formula, introducing the history of answers on the Gaussian 1 +2 +3 +… +100 =? Story to inspire students to explore the desire of knowledge; to explain the concept of complex numbers, by introducing the imaginary unit “i” of the origin, so that students understand the complex history of development of production and several guide the students to enter the field of mathematical knowledge; to explain the elliptical When real life contact, ask students to think tanks what the nature of the side curve, so inspired by the problem of guidance, psychological motivation to arouse the students to form a psychological point of learning mathematics.
Psychological research shows that when students in a performance that can be self-sufficient, the time of their attention will be focused on this matter, and very willing to meet this challenge. When a person is full of interest in things, their attitude is active, even in the spectator some very difficult problems, they can also “Shoudaoqinlai.” So, in teaching, I want to take full advantage of the performance of students to stimulate their interest in learning.
Such as teaching “knowledge cube” of a class, I changed in the past, “teacher, the students listen” approach is “to teach students, the students listen,” students in the course topics, teaching those who have listened to the lectures, timely and effective to express their views. Classes began, driven by the desire of expression, students compete to topics. An average student holding a homemade cube, took
Platform Endless speaking up: “Cube is a square surrounded by the six three-dimensional graphics, it has 12 edges, 8 vertices, 6 surface.” And then guide the students to ask questions to him. With curiosity, the students actively think about, have questioned, but the student can be answered, and explained clearly. Finally, I let the students have no chance to the podium to explain in the group.
Modern educational theory, enable students to actively take the initiative to explore knowledge, to democracy, equality, friendship
Cooperation Teacher-student relationship, based on the creation of pleasant and harmonious learning atmosphere. Be what you were taught, establish credibility by demeanor, arouse students emotional resonance, to a sincere love and caring attitude of their respect, understanding and trust, inspire them to actively participate in learning activities motivated. Taught by teachers and students to be good at coordinating bilateral activities to encourage students to venture to put forward their own views, so most students have opportunities to express opinions.
Class, the students and the students is the process of interaction between the process of their exchange of ideas, mutual discussion between the students with each other and promote each other to improve the process. In Interactions, each student is in a relatively relaxed state of mind, do not worry get it wrong thinking particularly vulnerable to activate for each student provided a “Speak Out” opportunities; in the interaction, students receive more thinking results and way of thinking, which expand their thinking and train thinking ability is very beneficial; in the interaction, the students receive an equal right to talk, which is conducive to their mental health development; the same time, through interaction Students will understand the mathematical ideas, culture and sense of cooperation and attitude of others to generate interest in learning mathematics, their spirit of cooperation, communication skills nurtured and improved.
In the classroom teachers should strive to create a relaxed, enjoyable learning environment, and guide students to actively participate in the learning process, to encourage pupils to speak, attention teachers and students exchange between life and life, make different levels of students to form a three-dimensional multi-dimensional learning Community, to make the classroom as a student interactions is a colorful world, we inspire each other, complement each other to give the classroom a unique charm.
Multivariable Calculus Instructor: Edward Frenkel course website: math.berkeley.edu
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Question: mathematics………………….?
is there ways to express yourself through mathematics, like an artist expresses themself through art…
Best answer:
Answer by ian
well you could pursue a career in mathematics?
Know better? Leave your own answer in the comments!
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There certainly is :
Among Mathematicians, the word used is ” elegant “, mostly as applied to proofs, but sometimes to definitions….
An elegant proof is one which is clear, neat, clever, and usually shorter than other people’s proof . ( It must also be correct ). It also uses a minimum of assumptions, and is often based on new research , or new mathematical insights.
Of course this elegance, like that of sculpture, or music composition , is often only seen as ” Elegant ” to other mathematicians ( Sculptors, Musicians )
Most mathematicians derive aesthetic pleasure from these sorts of proofs , and often use a similar idea of “Beauty”, or ” Mathematical Beauty ” to describe this sort of creative activity .
Most proofs of the Pythagorean theorem range from 20 to 50 lines long . My favourite personal example of ” Elegance ” for THIS proof, is apparently on the wall of an Abyssinian tomb ( Hence 5000 + years old ) :
It consists a carefully drawn diagram of the theorem, with the one word/ one line proof underneath : ” BEHOLD ! ”
Very Elegant !
Very Beautiful, too…..