Creating a game that teaches children calculus, geometry and mathematics

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I've created a few simple games before, but I want to create a game that isn't completely useless.

https://www.theatlantic.com/education/archive/2014/03/5-year-olds-can-learn-calculus/284124/ *

Maria Droujkova* believes average children, 5 year old and above can learn calculus. I want to gamify it for 8-12 year olds.

I already have a few ideas, but I've come to you for more.

The goal is for children to comprehend all the most common symbols and how they function, [ ? , ? , f() , f'() , ? , sin(), cos() ]. Algebra is hard to incorporate into a game, but necessary. These could be divided into small puzzle tasks to unlock further progress, with ample hints.

https://www.science4all.org/article/the-triangle-of-power/ **

Logarithms and exponents could be substituted with triangle of power** notation, but it could also confuse kids, who will not immediately understand the regular notation. If anybody is familiar with this, please tell me your experience.

The story: a young apprentice wishes to learn wizardry, the ancient school in the cloudy mountains promises great power to those who study the arcane arts. To gain the power you need to save your village, you must focus and learn the cosmic language.

The game: an overarching story is told in a 2D RPG top-down view, with different puzzle zones set in various different environments. Geometric parts could be similar to euclidia***, and algebraic parts could be a 2D platformer.

https://www.euclidea.xyz/ ***

The most likely outcome of this project is failure, I have never finished anything remotely as ambitious, but I will create a very ugly prototype by the end of summer for your critique, as well as posting updates and asking further guidance should you be interested.

Any tips?