Developing Mathmatical Maturitiy

  • Thread starter Thread starter koab1mjr
  • Start date Start date
AI Thread Summary
Mathematical texts often present challenging concepts that can frustrate students, leading to feelings of inadequacy. Many learners struggle with dense materials, like Rudin's Real Analysis, which is not designed for beginners and can require extensive time to comprehend. To improve understanding, it is suggested that students take breaks to allow concepts to "soak in" and utilize multiple resources for clearer explanations. The discussion emphasizes that the difficulty lies more in the presentation of material than in the students' abilities. Overall, enhancing accessibility in mathematical education is crucial for fostering understanding and reducing frustration.
koab1mjr
Messages
105
Reaction score
0
The most dreaded words in a mathmatical text. This usually translates into some time banging your head against a wall. Why do people do this to students?

Besides blood sweat and tears what can be done to make the stuff more accesible. I am not a math major but I like to study the stuff because I think its cool but its take a while to get the stuff. Sometimes I am just reading a single paragraph or section of a proof for hours until it smack me in the head. (doing rudin Real analysis)

There has to be a better way I would think, I am redoing my fundementals in calc again, hopefully that helps
 
Mathematics news on Phys.org
For one thing, you're doing yourself a disservice by using Rudin as a primary source. It's not meant to be one, it's a book mostly known for its terse exposition and difficult problems. It's geared at those who already know the subject well.
 
koab1mjr said:
The most dreaded words in a mathmatical text. This usually translates into some time banging your head against a wall. Why do people do this to students?

Besides blood sweat and tears what can be done to make the stuff more accesible. I am not a math major but I like to study the stuff because I think its cool but its take a while to get the stuff. Sometimes I am just reading a single paragraph or section of a proof for hours until it smack me in the head. (doing rudin Real analysis)

There has to be a better way I would think, I am redoing my fundementals in calc again, hopefully that helps

Isn't that the way it goes learning anything? (Unless, of course, you are a savant.)

My suggestion is study for a while, then walk away. Math needs to soak in. Maybe when you go back it will make more sense.
 
It's not the students fault, it's poor explanations! Don't sweat it - try to gather as many resources as you can to try to take bits and pieces from them all until it makes sense (what the authors should have done before writing a book...)

Dave
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Replies
12
Views
2K
Replies
5
Views
3K
Replies
16
Views
3K
Replies
32
Views
4K
Replies
9
Views
2K
Back
Top