Logical sequence of math topics

In summary, the conversation revolves around an undergrad student seeking guidance on understanding various math and physics topics. They are looking for a family-tree-type map of math topics and someone suggests a brief map of mathematics with useful links. The student expresses gratitude and plans to use the map to find books that are only one step above their current level. They also mention the difficulty in navigating the map and ask for further help in figuring out what topics to focus on.
  • #1
icurays1
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I just found this forum and it looks great! I'm an undergrad Physics/applied math at Western Washington University in Bellingham, WA.

I'm wondering if anyone has ever seen a kind of family-tree-type-deal of math topics. I have this problem with trying to read wikipedia articles and textbooks that are way over my head, but I never know what topics I would need to understand them. I feel like there are so many different subjects in math and physics out there that I could spend the next 10 years of my life taking classes and still only have scratched the surface. By the time I am done with my undergrad studies, should i be able to understand most of the stuff out there?

Looks like a long way to the top from where I'm at i guess. =p
 
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  • #2
the more you know the less you know
 
  • #3
Here's a map of mathematics, although it's very brief in description: http://www.math.niu.edu/~rusin/known-math/index/mathmap.html
 
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  • #4
That is perfect! Its not the easiest chart to use, but it certainly has lots of useful links.

Thanks! Now I can go find books that are only 1 step above where I'm at instead of 10.
 
  • #5
Wow, that is a confusing chart...

Icurays1: What exactly are you trying to learn and what do you already know? Someone might be able to help you figure out what topics to look into if we know what topics you're trying to get to.
 
  • #6
You can also try asking here. Tell us what you are trying to learn and plenty of people here will let you know what you should know, or what helps to know before pursuing.
 

FAQ: Logical sequence of math topics

What is a logical sequence of math topics?

A logical sequence of math topics is an organized and systematic way of presenting mathematical concepts and skills in a logical and interconnected order. This allows learners to build upon previously learned concepts and develop a deeper understanding of mathematics.

Why is it important to follow a logical sequence in teaching math?

Following a logical sequence in teaching math is important because it helps students to develop a strong foundation of mathematical knowledge. It also allows for a smooth transition between topics and prevents students from feeling overwhelmed or lost in their learning.

How do you determine the appropriate logical sequence for teaching math?

The appropriate logical sequence for teaching math can be determined by considering the complexity and interconnectedness of concepts, as well as the developmental level and prior knowledge of the students. It is also important to consider the specific curriculum standards and objectives.

Can the logical sequence of math topics be modified for different learners?

Yes, the logical sequence of math topics can be modified for different learners. Teachers can differentiate instruction and provide additional support or challenges based on the individual needs and abilities of their students.

Are there any disadvantages to following a logical sequence in teaching math?

One potential disadvantage of following a logical sequence in teaching math is that it may not allow for enough flexibility or creativity in the classroom. Additionally, some students may struggle to make connections between topics if the sequence is not personalized to their learning needs.

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