Abstract: A system for learning mathematics related to the abacus method for both performing mathematical operations and storing a tally for the result of the latest operation. A computer display comprises a series of cells that are populated during a mathematical operation by dragging a finger or stylus across a cell or cells. The direction in which the finger or stylus is dragged determines the operator, and the number of cells chosen is used with said operator. Operations include addition, subtraction, multiplication, division, and negative multiplication.

Abstract: A software means for alternating between corresponding hierarchical representation of organized thought such as a bubble map format and an outline format to be used with hand held computerized devices such as mobile phones and tablet computers wherein the device is rotated so as to cause a landscape or portrait orientated display. Upon rotation, a user alternates from, for example, a bubble map format in landscape mode to an outline format in portrait mode while maintaining all thoughts stored in either format. Alternative means for switching between formats include swiping the screen as a form of processing instruction, and viewing of each though in a slideshow format with a dropdown menu permitting navigation between all thoughts in a hierarchical format.