Cure Math Dislike: CupCounting before Adding

We ACT to deal with the outside world.         
We MATH to deal with the natural fact MANY ???
Oops, sorry, MATH is not an action word!
We COUNT & ADD to deal with MANY.

  • CupCount & ReCount:

T = 7 = I I I I I I I = III  III  I = ll] l = 2]1 = 2.1 3s 
T = 2]1 3s = 1]4 3s = 3]-2 3s    (Overload or Underload)
T = 2]1 3s = 1]2 5s = 3]1 2s = 11]1 2s
T = 3×8 = 3 8s = 2.6 9s = 2.4 tens, or the sloppy version 24

Counting gives a decimal number with a unit (a natural number).
Adding OnTop, a Total may be ReCounted to shift the unit.
Adding NextTo, means Integration of areas.

  • Add OnTop & Add NextTo:

        T1+T2 = 1.2 3s + 4.5 6s = 0.5 6s + 4.5 6s = 5.4 6s
        T1+T2 = 1.2 3s + 4.5 6s = 3.7 9s  or  3.4 tens = 34

The CATS approach to MATH: Count & Add in Time & Space

Primary school:       C1 A1 T1 S1
Secondary school:  C2 A2 T2 S2

FREE teacher education in
MATH as a Natural Science about MANY.

Comments to Allan.Tarp@MATHeCADEMY.net