- Discovery Learning
- Barriers to Learning
- Spiral Curriculum
Discovery learning is that vague stuff that was around in the 70s that meant I never learned to hold a pen properly. I read some stuff in an Ian Thompson edited book about maths that didn't have anything positive to see about child initiated discovery learning in relationship to maths, saying instead that discovery learning had to be adult initiated and often adult guided in the early years in maths for it to have any impact. Interesting.
Investigation in maths is when you give children an maths problem and then guide them into solving it. You often have to give a lot of guidance as children who are used to a 'skills based curriculum' have often only learnt maths methods and not problem solving skills. One of my favourites is the one about what is the most common outcome of rolling 2 dice, because you can combine experimentation (actually rolling the dice) with theory (when you use a table to solve the problem precisely).
Barriers to learning means stuff that stops you learning. It could be attendance or your mum telling you that she was no good at maths so you won't be either. It could also be your 11+ tutor teaching you bus stop when you don't really get the difference between sharing and grouping.
Interviewing. I'm not really sure what this is in a maths context. I did some interviewing on my fractions video (see below) but I'm not sure if that is what this means.
Spiral curriculum is where you have a curriculum that keeps coming back to the same area on a regular basis so that the children can build on previous knowledge. It's a nice idea but the timings we use in the UK are all wrong. The spiral should be 1 day, 1 week, 1 month, 1 year. Not every term.
Readiness is the idea that you can't learn some things until your ready for them. It works on the short term (I can't learn this because my mind is buzzing with the way that girl insulted me at playtime) and on the longer term (I can't learn that concept about adding on 2, because I don't really understand what 2 is). Making children ready to learn is about connecting their learning with the real world and with previous learning, providing motivation and engaging them. It's a mark of creativity.
Differentiation is when you making the learning suit the learner. This can be by varying the way they access the learning, changing the level of the learning and providing greater scaffolding. I have a dim memory from college that either Piaget or Vigotsky indicated that a single teacher could only differentiate three ways. (I mean for three different groups of children , not with different methods of differentiation.) But I might be making that up.
Differention is also something I did at university on my engineering degree. Second Order Differential Equations. They were very hard. I'm glad I'm a primary school teacher.