When and how did math click for you?

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SUMMARY

This discussion centers on the personal experiences of individuals regarding when and how they finally understood mathematics. Participants share their ages, ranging from childhood to adulthood, and describe pivotal moments that led to their comprehension of mathematical concepts, such as binary systems and the Pythagorean theorem. Key insights include the importance of foundational knowledge, the transition from computational to abstract thinking, and the role of supportive learning environments in fostering mathematical understanding.

PREREQUISITES
  • Understanding of basic arithmetic operations
  • Familiarity with mathematical concepts such as geometry and algebra
  • Knowledge of abstract thinking in mathematics
  • Experience with practical applications of math in real-world scenarios
NEXT STEPS
  • Explore the concept of abstract algebra, specifically Rings and Fields
  • Study the Pythagorean theorem and its applications in geometry
  • Learn about binary number systems and their significance in mathematics
  • Investigate teaching methods that promote mathematical understanding and engagement
USEFUL FOR

This discussion is beneficial for students, educators, and anyone interested in improving their mathematical understanding or teaching methods. It provides insights into the psychological and educational factors that contribute to grasping complex mathematical concepts.

  • #31
Although it's been said, I have yet to wake up and think 'so that's how that math thing works'

however, I find every time I finish a year and have a summer break, I find upon my return what was once the shaky structure is now embedded in the foundation from which to further build. That said, I probably couldn't solve most of the stuff I was doing at the end of the previous semester, but the underlying rules and structure seem natural as opposed to confusing or contradictory.
 
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  • #32
Gale said:
Math has clicked for me more than once.

First time I can remember was after learning division in elementary school, later that day my dad taught me binary. Realizing arithmetic worked in binary was an amazing discovery for me; realizing counting made sense in a new way, also had a huge impact on me.

I know that one (rough) definition of binary is something that deals with two, but I think Gale is talking about something beyond that definition when she speaks of binary.

What does binary mean in mathematics beyond the definition I already stated above? Gale, what does it mean when you say you realized arithmetic worked in binary?
 
  • #33
Jimmy Snyder said:
When I was in HS, I called up the prettiest girl in the class to ask if we could study together. That's when it clicked for me.

Lies...

I understand math in the sense of completing problems and applying it to some situations. But mostly, I feign understanding to myself in the hopes that one day it will 'click'.
 
  • #34
when i was 4 and my mother commented how i could write the number "2" calligraphically with a pencil all the time
 
  • #35
Tyrion101 said:
I was just wondering how old you were, and what got you to finally understand math?
4th grade. The music teacher confiscated my math book during music lesson, and my 4th teacher admonished me for being so far ahead of the class. I didn't show my work because I did it in my head instead of canceling and carrying over with pencil and paper.

We also had math contests with flash cards where the teacher would call out a number and we had to pick the card with the appropriate dyadic scalar operation to solve the problem. I found myself considering whether or not I should not respond so quickly and let a girl in whom I was interested win the contest. I chose to answer the problems quickly and win the contest. I was subsequently given the name Spock because of my interest in math and science, my generally serious demeanor, and my resemblance (mainly my hair) to the character on Star Trek.

Between 4th and 5th grade, I was introduced to matrices and matric algebra during a summer program.

Unfortunately, my education in primary school was rather incongruous.
 

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