Posts published in May, 2023

Conceptual Mathematics

One approach to mathematics is to regard it as comprising distinct aspects: algebra – the manipulation of symbols, geometry – dealing with shape and position, and logic – making arguments. Conceptual mathematics, or category theory, combines all of these. It is about the structure of arguments, and deals with algebra geometrically. While category theory only… Read more Conceptual Mathematics

Equational reasoning: A systematic review of the Cuisenaire–Gattegno approach

The Cuisenaire–Gattegno (Cui) approach to early mathematics uses color coded rods of unit increment lengths embedded in a systematic curriculum designed to guide learners as young as age five from exploration of integers and ratio through to formal algebraic writing. The effectiveness of this approach has been the subject of hundreds of investigations supporting positive… Read more Equational reasoning: A systematic review of the Cuisenaire–Gattegno approach