• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar

PlanetNancy • Ideas in Orbit

  • Home
  • Services
  • About Me
  • Inquiry Packs
  • Books
    • Books I’ve Edited
    • Books I’ve Written
  • Series
    • Critical At Any Age
    • Recommended Reading
    • The View From Planet Nancy
    • Writing Prompts
    • Write For You
  • Contact

2 + 2 and Math

November 3, 2017 By Nancy Casey

2 + 2 is an idea. Math is the kind of thinking that leads to ideas like 2 + 2.

2 + 2 is an idea about addition.

If you get to 2 + 2 in your thinking, you might also get to ideas like counting, long division, prime numbers, and Sudoku puzzles. These ideas all come from the branch of mathematics known as Number Theory.

Mathematics has many branches and people are always trying to start new ones. Group Theory, Set Theory, Complexity Theory, and Graph Theory are all different branches of mathematics a person could learn about.

Notice the word theory. It implies some degree of uncertainty. It means that not everything is known. It means that there is still a lot left to figure out.

Some other branches of math have names like Geometry, Calculus, Combinatorics, Topology, Cryptography, Logic, and Statistics. Even though they don’t have the word theory in their names, there is much left to figure out in these fields as well.

In fact, it’s the figuring out that math is really about. If someone says “2 + 2” and you can answer “4” without thinking, you’d be talking about math, but not actually doing math. However, when you were really little and beginning to learn about numbers and counting, perhaps you built things with blocks. Back then, the blocks might have led you to notice ideas like 2 + 2 for the first time.  Back then, you were doing the math.

If nowadays, you get caught up in a mystery story or any kind of a tale where you keep trying to guess ahead to what will happen next, the math you are doing would be Logic.

If you’ve misplaced your shoes somewhere at home, one way to find them is to touch every single object in your house until you touch the (no-longer!) missing shoes. Deciding whether that’s a good way to organize your search is the kind of thinking one does in Complexity Theory.

Trying to untangle a garden hose or a snarled nest of bungie cords? When you slow down and get methodical about it, you are beginning to do Knot Theory.

What about when you set out from home with a slew of errands? You have to take certain items with you and then do certain things in a series of locations. You don’t want to be zig-zagging all over the place. You might have other constraints, too, such as something that must happen at a certain time, or how much you can carry and how far you can walk with it. Maybe there is public transportation involved, a bicycle, or a ride with a friend. Organizing yourself to get all your errands done with a minimum of fuss is a problem in Graph Theory.

Have you ever wondered if there is a way you can change your long underwear without removing your jeans, or take off your bra without removing your shirt? As soon as you do, you are thinking the thoughts of a Topologist. Your topological thoughts could lead you to notice that accomplishing these tricky wardrobe changes depends on the design of the articles of clothing themselves. Which could get you to wondering about all the different things you can make when you sew parts of a piece of fabric to itself. What is the difference between a shirt and a pair of pants anyway? Keep turning over ideas like these, and you’ll be doing Topology.

Sometimes people do math in order to accomplish a specific practical goal. Other times people do math for the simple sake of the what-if questions: What if the jeans had 3 legs? What if you are certain somebody hid your shoes?

Whatever the reasons, it’s math because of the kind of thinking involved. The kind of thinking you do when you are figuring something out. Something like whether or not 2 + 2 is always equal to 4.

Trending Articles

  • Critical At Any Age

    Critical Thinking, Education, Geometry, Learning,
  • Turing Test

    Computational thinking, Computer science, Machines, Turing machine, Turing test,
  • 2 + 2 and Math

    Mathematics,
  • Learning by Writing?

    Learning,

Most Popular Articles

  • Starting the Day

    Education, Observation, Room 103, Teaching,
  • Make It, Dress It

    Clothes, Engineering,
  • Turing Test

    Computational thinking, Computer science, Machines, Turing machine, Turing test,
  • In Room 103

    Assumptions, Education, Elementary School, Room 103,

Primary Sidebar

News and Events

Nancy blogs weekly for the Latah Recovery Community Center, sharing writing ideas that support self-awareness and self-esteem.


Looking for an art project that is secretly full of math? Or a math project that results in interesting art? Equilateral Triangle is an Inquiry Pack full of project ideas that will keep you thinking for a long time.


Writing classes and workshops

In-person Write-For-You workshops at the Latah Recovery Center have been suspended for a bit, but you can still do the writing prompts on your own. For more information, about the Write for You program, or if you are in recovery and interested in writing coaching, contact Nancy.


 

Let’s Talk About It

This is a program that supports reading and discussion in libraries throughout the state of Idaho.

Working with the Program Committee, I updated the theme The Humanity of Science and Technology.


Schedule of 2023-24 Let’s Talk About It sessions coming soon!


Nancy Casey's Books

All the Way to Second Street

All the Way to Second Street front cover
Buy Now




Follow For Updates


COPYRIGHT 2016 ALL RIGHTS RESERVED. NANCY CASEY | MOSCOW, ID.