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I love Jon Orr and Kyle Pearce for the way they go about this visual interpretation of math. I refer to all of their websites a great deal. A great website created by Jon Orr is http://mathisvisual.com/ which shows the evolution of a concept visually. And there are concepts from all the strands available.
I, of course, like many in my age bracket did not learn math this way. I learned the rote, memorization and algorithm way. Mind you, I've got a very good memory so it worked for me. But until I read Jo Boaler's Mathematical Mindsets and started really exploring the concepts in a visual manner, I truly did not understand exactly why some of the concepts worked at a basic level in a way I could use to explain it to my students.
There is a ton of great resources available to use to bring the visual into your math class: OpenMiddle, YummyMath, Desmos, visualpatterns.org, fractiontalks.com, youcubed.org, Tap into Teen Minds - just to name a few.
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Math is not about getting the right answer, it is not about speed, it is full of mistakes and is a journey towards understanding things in our world.
“But mathematics, real mathematics, is a subject full of uncertainty; it is about explorations, conjectures, and interpretations, not definitive answers.”
~Jo Boaler