Get a copyright over this before someone steals your designsI figured id might as well show some examples so i can illustrate what im describing .
For the fundamental math these where the colors i chose with the corresponding shapes ( granted some may change in future )
View attachment 877603
A worked out example , in this one we are given a list of numbers to add together . i use a kinesthetic approach on my examples as well as colors.
here i first identfied the unites , then i colored them to make it more apparent of the units . Below that you see rectangles /w orange dots . This stems from a contrapation that will spit out ones if they are 9or less. 10 of these rectangles make up a square and fit into the "square box " which is 100 units . so if needed some one could physically build the equation to solve it , which gets your hands eyes and is more of a game for solving and things correspond so its not ambiguous . then you see i added things together and get a solution .It may look strange at first and seem over whelming but if you had blocks you'd pick up the colors pretty quickly . i was trying to design it such that if someone who does not understand the properties of decimals would not be able to put pieces together where they did not belong hence the ejecting ones out from the tens example i eluded to earlier.
View attachment 877606 View attachment 877605
This is an example of Divsion , this one kicked my but when i was trying to think of a way of incorperating blocks and an idea for some one else to follow but i believe i have solved that issue at least for myself and in my mind .
View attachment 877607
The next image is a solution path using the colors for division , granted this type of reasoning might not be great for everyone .but it illustrates several key factors in how the equation works from its most basic form and questions id have asked such as the numbers on top ( which is why i am showing the zeros as place holders for each unit we are solving for ). I think this looks better than black & white lettering.
View attachment 877608 View attachment 877610
Here is a terrible example i quickly wrote up for fractions , but i think people can see the reason i thought it might be a good idea because a large issue is with matching denominators for addition and people just don't see it . i think with this method they can see the denominators not matching ( i think this style is good way for instructional purposes and for tutoring as well take home notes so if a student so wishes they can folow the color coding . i by no means exepect others to use these colors only but i do think that there should be many examples with these colors so people can follow a patern if they are trying to read a book for help / follow work .
View attachment 877612
For Cartesian plane here is an image of the axis
View attachment 877611
what is interesting about this method is if you do it long enough you start seeing numbers in colors based on their place value even if the letters are black its kinda cool .i will follow this up with one more post .