Star, that sounds sensible.
The generalising thing can be quite subtle. DD2 is finding bridging through 10 difficult. The SENCO said 'well she needs to really learn her number bonds to 10.' She knows her number bonds to 10. What she doesn't know, is that number bonds to 10 can help her with bridging through 10. To her, they are separate subjects - she can't join the dots.
An example from my life is Geography. I have a mental block with geography. I learn routes as discreet journeys. So, when I went to Chichester University, I learned that I drove to the M27, then kept going past Portsmouth, past Havant, past Emsworth, past Southbourne, until I reached Chichester.
When I needed to go to Brighton, I had to relearn the route. No kidding. I had to learn it as 'Go to Chichester, then......'
There is one memorable day etched in my mind, when I visited a cake shop with my friend and her baby. We went to Winchester and the shop didn't have what we needed. So I, in my wisdom, said 'Let's pop down the motorway to Hedge End.' Hedge End is on J7 of the M27.
So, we were trundling along the M3 from Winchester, talking as I drove, and all was good. Except that when we got to Junction 7, I exclaimed 'Wait a minute.....they've changed the road sign
.' To my amazement, the road sign said 'J7 - Basingstoke'. I realised, after a bit of a panic, that I'd forgotten that I had to change from the M3 to the M27 at J4 of the M3, so I was at Junction 7 of the M3.
The point I'm making is that I'm crap at generalising geographical knowledge. I kid you not, that every time I come to a particular Motorway roundabout, I have to say to myself 'I'm in X town. The motorway goes from Southampton to Portsmouth. X town is at y point, so I need to head towards Portsmouth to get to J7......' It's very stressful when you've got the time it takes a set of traffic lights to change from red to green to make your decision!