Teaching and learning how to write proofs in Concepts of Geometry 几何学数学教学教学方法中学摘要:WANG Hao-haoDepartmentVIP美中教育评论
Students that do not learn about proof are unlikely to understand the nature of mathematical discourse and are missing out on an important opportunity to develop their logical reasoning ability. This article examines three well documented misconceptions that are contributing to secondary mathematics ...
After months of work, they submitted their innovative proofs to their teachers. With the contest behind them, their teachers encouraged the students to present at a mathematics conference, and then to seek to publish their work. And even today, they're not done. Now in college, they've be...
the indents I have used do not affect the how the code is processed, they just make it more readable. The beauty of these subfigures is that we can refer to each of them individually in the text due to their individual labels—but we can also give the whole figure a caption...
The Pythagorean theorem is an ancient mathematical theorem which is one of the most fundamental and important concepts in two-dimensional Euclidean geometry going back thousands of years. It can help students find the sides of a right triangle on a piece of paper, but it also has greater implic...
nition of“point”is not very clear.Hilbert argued that if geometry had the correct foundations,it should be possible to read the proofswith“Point,Line,Plane”replaced with“Table,Chair,Beer Mug”.Well,you could do this,but the text would be hard to read.] The standard proof style is ...
There are three big parts of mathematics: geometry, analysis and algebra. In this insight I will try to give a roadmap towards learning basic abstract algebra.
And professor Farb has thought about such problem for a long time, I think he is well qualified to make a comment. As you have seen in the poster, he is one of the most popular professors in Chicago, and he has civilized 29 PhD students so far. Another thing is that he was one of...
Students of mathematics and computer science often have trouble the first time they’re asked to work seriously with mathematical proofs, because they don’t know the “rules of the game.” What is expected of you if you are asked
If your work is to benefit anyone other than yourself, you must communicate it. This is a basic responsibility of research. If you write well more people will read your work! AI is too hard to do by yourself. You need constant feedback from other people. Comments on your papers are one...