Systems and Methods of Representing and Solving Algebraic Problems

A computer-implemented method of representing and solving algebraic equations, comprising:

• providing a graphical user interface for displaying an instructional system, said instructional system comprising:
• a primary cog having a plurality of primary cog teeth, said primary cog teeth including a target tooth;
• and
• a secondary cog having a plurality of secondary cog teeth, said secondary cog being linked to said primary cog such that a rotation of said secondary cog causes said primary cog to rotate therewith;
• representing an algebraic problem on said graphical user interface using said instructional system;
• receiving an input from a user;
• rotating said secondary cog based on said input to cause said primary cog to also rotate;
• wherein, said algebraic problem is solved when said target tooth reaches a predefined location.

A computer-implemented method of representing and solving mathematical problems, comprising:

• providing a graphical user interface for displaying an instructional system, said instructional system comprising:
• a primary cog having a plurality of primary cog teeth;
• a secondary cog having a plurality of secondary cog teeth, said secondary cog being linked to said primary cog such that a rotation of said secondary cog causes a rotation of said primary cog;
• representing a mathematical problem on said graphical user interface using said instructional system;
• receiving an input from a user;
• and
• rotating said secondary cog based on said input to cause said primary cog to also rotate;
• wherein, said mathematical problem is solved when a particular tooth of said plurality of primary cog teeth reaches a predefined location.