Abstract: A computer-implemented method for teaching math is disclosed. The method comprises displaying a challenge for a learner to solve; displaying in first area a plurality of moveable pieces; displaying a second area defining a receptacle to which the learner can move the moveable pieces in attempting to solve the challenge; and evaluating the learner's response to the challenge.

Abstract: A computer-implemented method for teaching math is disclosed. The method comprises generating a number; generating movable items corresponding to the number defining a number of place values for representing the number; graphically marking place value areas corresponding to the place values; allowing a user to move the movable items into the place value areas to represent the number in terms of its place values.

Abstract: A computer-implemented method for teaching math is disclosed. The method comprises displaying a number line graphic to indicate a relative order between numbers; generating a first problem comprising numbers at least some of which are indicated on the number line graphic; selectively providing guidance for solving the problem; and receiving a user's input as a solution to the first problem.

Abstract: A computer-implemented method for teaching math is disclosed. The method comprises generating a problem for a user to solve; generating a graphical representation of a number associated with the problem; wherein the graphical representation is selected to facilitate subitizing of the number; and overlaying visual guidance on the graphical representation to guide a user as a means to drawing attention to a learning strategy for solving the problem; receiving and checking a user's input as a solution to the problem; and indicating to the user a correctness of the solution.

Abstract: Embodiments of the invention disclose a virtual manipulative to facilitate math learning. The virtual manipulative comprises a user interface to progressively form one on more columns to hold partial sums or number decompositions to assist a learner in computing a sum.