Method for mathematical representation, manipulation and problem solving, and kit

摘要

The present invention involves the use of numerical digits with markers and attribute tags as a means to represent quantities, facilitate mathematical manipulation, and solve problems. The given number of markers on each digit corresponds to the value of the digit. For example, the digit three is enhanced with three markers. The attribute tags are also provided with a given number of markers, for example, ten, for math problems in base ten. The digits and the attribute tags are then used to represent and solve math problems including, but not limited to, learning ones, tens, hundreds, thousands columns, addition, multiplication, subtraction, and division, of whole numbers, of fractions, of negative whole numbers and of negative fractions, as well as decimals and exponents. The problems are quantitatively viewed, manipulated, and solved directly on the numerical digits incorporating the markers and attribute tags. A kit is disclosed for use in practicing the invention and the kit comprises digits represented on a mutable substrate and having a number of markers corresponding with the numerical value of the digit and attribute tags represented on a mutable substrate and having a number of mutable markers corresponding with the base number in a given base number systems.