Caleb Gattegno’s contribution to mathematics education ranged from innovation in the school curriculum (“Algebra First”) to a theory of learning – the Science of Education.
Where a “bit” might be said to be a unit of study in information theory, a gene in biology, or an atom in physics — Gattegno’s scientists of education study an “awareness.”
In these two articles developed as part of booklets with the ATM Science of Education Working Group, I look at how exercises with the rods can stimulate various mathematical awarenesses, whose “temporal hierarchy” is recorded in the pathways in the Curriculum Graph (*).
The reader can try the exercises in Black Rod at here
The full publications are available from the Association of Teachers of Mathematics (ATM).