Because it is a human right to learn to deal with the natural fact MANY
by Counting and Adding in Time and Space.
What is CATS?
To deal with MANY we count a Total in bundles, bundles of bundles, etc.
Thus counting a Total results in a decimal number with a unit, e.g. T = 3.2 5s
Once counted, Totals can be added in two ways:
- OnTop after making the units the same by recounting, which is the root of linearity
- NextTo as areas, which is the root of integration
Reversing addition roots equations.
The MATHeCADEMY.net website contains 2*4 study units in ‘mathematics from below, the LAB-approach’.
It is organised as lab-activities where the learner learns ‘CATS’, i.e. learns to count and add in time and space.
The study units CATS1 are for primary school and the study units CATS2 are for secondary school.
organizes 8 learners in 2 teams of 4 students choosing 3 pairs and 2 instructors by turn.
The teacher coaches the instructors, instructing the rest of their team.
Each pair works together to solve count&add problems and routine problems.
Each pair carries out an educational task to be reported in an essay rich on observations of examples of cognition, both re-cognition and new cognition, i.e. both assimilation and accommodation.
A condensed version of the contents of C1, A1, T1 and S1 for primary school; and C2, A2, T2 and S2 for secondary school
A Power point introduction to MATH as a Natural Science about MANY.
Mathematics with cards.
Truth, Beauty and Goodness in Math Education
Presented as a natural science about Many, mathematics will bring the three classical virtues into its education.
An Invitation to a dialogue on Mathematics education and its research
An proposal as to how to improve mathematics education and PISA results.
Allan Tarp Presentation, the designer of MATHeCADEMY.net