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