Not only is this wrong but harmful teaching of math. It is also false.

The following equivalence

5 x 3 = 3 + 3 + 3 + 3 + 3

is only true for Whole Numbers “when thinking of multiplication as repeated addition” but in abstract multiplication as a concept is much broader.

Multiplication of real numbers can not be “demonstrated” so easily in such groups.

5.0 x 3.0 = ????

Or can the that “concept” be applied to geometry which has an arbitrary orientation in multiplication.

5m x 3m = ??????

And most importantly multiplication as a function contradicts this logic.

Let *X* and *Y* be two sets. Let *f*:*X*→*Y* and *g*:*X*→*Y* be two functions. *f*=*g* iff *f*(*x*)=*g*(*x*) for all *x*∈*X*.

let *f*(*x*)=3 x *x*let

*g*(

*x*)=

*x*x 3

since *f*(*x*)=*g*(*x*) for all *x*∈*X*

*f *= *g*

then let x = 5

3 x 5 = 5 x 3:

therefore 3 x 5 = 5 x 3 = 5 + 5 + 5 = 15

this implies that 3 x 5 = 5+ 5 + 5 = 15 and it is EQUIVALENT as a function.

IN ABSTRACT MATH 3 x 5 represents many different things and it is important for the child to see MANY interpretations of this ABSTRACT concept .

Math Teacher please teach MATH as a Science and not as a Political Science.