Apparatus and Method for Teaching Multiplication and Division

A method for teaching multiplication of a multiplier by an upper limited series of multiplicands to a student, said method comprising:

• (a) determining a value of the multiplier to be taught to the student;
• (b) determining the range and the upper limit of the upper limited series of multiplicands to be taught to the student;
• (c) teaching the student to skip count the multiplier for a range of multiplicands within the series, said range having an upper limit which is less than the upper limit of the series of multiplicands to be taught;
• (d) progressively increasing said lesser upper limit of the series of multiplicands for which the student is taught to skip count to the upper limit of the series of upper limited multiplicands to be taught, as the student learns to skip count the multiplier for increasing ranges of multiplicands;
• and
• (e) teaching the student a strategy for multiplication comprising determining a product by skip counting by the multiplier for a number of iterations equal to the multiplicand.

A method for teaching multiplication of a multiplicand by an upper limited series of multipliers to a student, said method comprising:

• (a) determining a value of the multiplicand to be taught to the student;
• (b) determining the range and the upper limit of the upper limited series of multipliers to be taught to the student;
• (c) teaching the student to skip count the multiplicand for a range of multipliers within the series, said range having an upper limit which is less than the upper limit of the series of multipliers to be taught;
• (d) progressively increasing said lesser upper limit of the series of multipliers for which the student is taught to skip count to the upper limit of the series of upper limited multipliers to be taught, as the student learns to skip count the multiplicand for increasing ranges of multipliers;
• and
• (e) teaching the student a strategy for multiplication comprising determining a product by skip counting by the multiplicand for a number of iterations equal to the multiplier.

A method for teaching division, including a method for teaching multiplication of a first factor by an upper limited series of second factors, to a student, said method comprising:

• (a) determining a value of the first factor to be taught to the student;
• (b) determining the range and the upper limit of the upper limited series of second factors to be taught to the student;
• (c) teaching the student to skip count the first factor for a range of second factors within the series, said range having an upper limit which is less than the upper limit of the series of second factors to be taught;
• (d) progressively increasing said lesser upper limit of the series of second factors for which the student is taught to skip count to the upper limit of the series of upper limited second factors to be taught, as the student learns to skip count the first factor for increasing ranges of second factors;
• and
• (e) teaching the student a strategy for division which uses said skip counting procedure.