Further reflection leads me to think there are 4 possible maths pathways:
- DI / EMM / JUMP. Direct Instruction (Zig Engelmann) / Elementary Maths Mastery (Rhonda Farkota) / Junior Undiscovered Math Prodigies (John Mighton). I am already using parts (modified) of the EMM approach
- Indigenous culture. Maths that links to elements of indigenous culture. There is a significant literature about this, eg. the work of Dr Chris Matthews, Dr Alan Bishop, Dr Bronwyn Ewing for starters, but I have yet to trial it.
- Computer microworld. Teaching maths through multimedia / computer coding using the Scratch software, the most recent incarnation of Logo. I have a very strong background in this method.
- Home grown. Quite often because I feel the textbooks are inadequate I develop my own maths activities to better fit where the class is at. eg. Pythagoras activity requiring the construction of different triangles and modified milk carton volume activity were promising.
More details at IMMP, including a reference list.