I think math is neat. I like to play with math. And sometimes I come up with something that supports my theory that math is neat.
First, I took the numbers 1 – 100 and spiralled them around some regular graph paper. I wondered what would happen if I colored in the multiples of 4. I examined my work and thought, “Huh. Well that’s neat.”
Of course then I needed to spiral even more numbers and test out everything I could think of. Multiples of 5, 6, 7 and so on. Linear patterns, quadratic patterns, prime num…nope, nevermind. I don’t do prime numbers.
Anyway, it’s that time of the school year where stress relief is necessary so I have been playing with these spirals for over a week. Today I came up with something worth sharing on my blog. I took the positive y-values of y = x^2, y = x^2 + x, y = x^2 + 2x and so on, and colored those squares. Then I put the images together and made a gif. Obviously, holding the camera at a steady angle is not a skill I have mastered. But I still think it’s pretty darn neat.
Number Loving Beagle 
this is cool
On Wed, May 25, 2016 at 4:20 PM, Number Loving Beagle wrote:
> Megan Schmidt posted: “I think math is neat. I like to play with math. > And sometimes I come up with something that supports my theory that math is > neat. First, I took the numbers 1 – 100 and spiralled them around some > regular graph paper. I wondered what would happen if ” >
So changing the grid did show some really cool stuff! Now I just need to work this into some linear lessons for my algebra 1 babies for next year!!!
Oh my goodness, there are so many cool math patterns in this idea! Using it as an anchor activity for the rest of the year and loving the creativity kids are showing already today on it. I even went desmos on a visual pattern I was seeing related to nxn squares: https://www.desmos.com/calculator/tbtff8qgbq
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I come here searching for Tales from the Nerdery . Now, Mathematics comes from many different sorts of problems.
Initially these were within commerce, land way of measuring, structures and later astronomy;
today, all sciences suggest problems researched by mathematicians, and many problems occur within mathematics itself.
For instance, the physicist Richard Feynman developed the path essential formulation of quantum technicians
utilizing a blend of mathematical reasoning and physical understanding, and
today’s string theory, a still-developing medical theory which endeavors to unify
the four important forces of aspect, continues to motivate new mathematics.
Many mathematical things, such as models of quantities
and functions, show internal structure because of procedures or
relationships that are identified on the set in place.
Mathematics then studies properties of these sets that may be
expressed in conditions of that composition; for instance quantity theory studies
properties of the group of integers that may be expressed in conditions of arithmetic businesses.
Additionally, it frequently happens that different such organized sets (or set ups) display
similar properties, rendering it possible, by an additional
step of abstraction, to convey axioms for a category of buildings, and then research
at once the complete class of set ups fulfilling these
axioms.
Thus you can study categories, rings, domains
and other abstract systems; along such studies (for constructions described by algebraic procedures) constitute the domain name of abstract
algebra.
Here: http://math-problem-solver.com To be able to clarify the foundations of mathematics, the domains of mathematical logic and
collection theory were developed. Mathematical logic includes the mathematical analysis of logic and the applications of formal logic to the areas of mathematics; place theory is the branch of mathematics that studies packages or selections of items.
Category theory, which discounts within an abstract way with
mathematical constructions and human relationships between them, continues to be in development.