Goompi model

See also: teaching-mathematics, cser-practices-and-pedagogies, what-do-mathematicians-do, what-is-mathematics, ramr-cycle

Sources: Culturally Responsive Pedagogyies

A model for describing what mathematics is and how it develops. This can be used for thinking about teaching mathematics. It emphasises mathematics as

• connected structure;
• a life-describing language;
• a tool for problem solving;
• leading to a focus on big ideas

Has three tenets (from YuMi Deadly Maths)

1. Mathematics is a cultural and contextual abstraction of reality based on symbols.
2. Mathematics reflects back on reality and empowers people to solve problems in their own lives.
3. This abstraction and reflection is a creative but also a culturally biased act.

The Goompi Model: Relationship between perceived reality and invented mathematics

Goompi model appears a good fit for my-approach-to-teaching-mathematics

Starting with use in the first lessons to abstract out the lessons from the [[number-scabble]] activity. Also linking this later to the mathematical-investigation process.

Experimental mermaid representation

flowchart LR 
    id1((Reality)) -->|Abstraction| id2((Maths)) 
    id1((Reality)) ~~~|Creative<br>Symbols<br>Cultural Bias| id2((Maths))
    id2((Maths)) -->|Reflection| id1((Reality))