Abstract: This invention supplies a method to make the abstract, step-by-step logic of math problems visible via the use of digitized mathematical reasoning blocks, which can be used to construct an interactive teaching program that allows a student to select problem sets from an index of problems, allows the student to view a brief instructional video pertaining to that skill if desired, allows the student to chose the mode of problem presentation (i.e., various learning or test modes), allows the student to work randomly generated problems from within the chosen mode and set by picking mathematical reasoning blocks that represent the various necessary/possible sub-steps in route to the solution of that problem.

Abstract: This invention supplies a method to make the abstract, step-by-step logic of math problems visible via the use of digitized mathematical reasoning blocks, which can be used to construct an interactive teaching program that allows a student to select problem sets from an index of problems, allows the student to view a brief instructional video pertaining to that skill if desired, allows the student to chose the mode of problem presentation (i.e., various learning or test modes), allows the student to work randomly generated problems from within the chosen mode and set by picking mathematical reasoning blocks that represent the various necessary/possible sub-steps in route to the solution of that problem.

Abstract: In one embodiment, an article of manufacture includes a plurality of nestable, identically sized building blocks, each block having at least one inward-slanting side wall connected to a top surface of the block at an edge of the block, wherein a first block defines a hollow interior space adapted to receive a second block in a nested configuration. One or more of the blocks have one or more recesses on the top surface that are each designed to receive a portion of the bottom edge of another block, thereby providing increased stability for non-nested configurations. A recess may have a curved shape that can receive a curved portion of another block at different angular orientations of the blocks. The recesses may engage another block's bottom edge in a non-interlocking manner or in an interlocking manner.

Abstract: This invention supplies a method to make the abstract, step-by-step logic of math problems visible via the use of digitized mathematical reasoning blocks, which can be used to construct an interactive teaching program that allows a student to select problem sets from an index of problems, allows the student to view a brief instructional video pertaining to that skill if desired, allows the student to chose the mode of problem presentation (i.e., various learning or test modes), allows the student to work randomly generated problems from within the chosen mode and set by picking mathematical reasoning blocks that represent the various necessary/possible sub-steps in route to the solution of that problem.