This is what we are doing with Edward, if anyone else wants to try it with their child.
Disclaimer - I am not telling anyone how to raise their ASD child this is just what I have noticed, read and understand and what is working for my son.
Use strengths - Whether you are NT or autistic just being human - if you have an interest you will be happy to learn anything you connect with it - if you enjoy learning you are more likely to retain that information.
Dr Simon Baron-Cohen (Professor of Developmental Psychopathology, University of Cambridge and Fellow at Trinity College, Cambridge. He is Director, Autism Research Centre (ARC) in Cambridge) suggested just this for helping with something that is rather scary for our children. And some people have put together a video for our kids to help with face emotions - http://www.thetransporters.com/
Movement helps with listening
You are very right our children having amazing abilities of visual input. - if you want a child to learn to hear and learn language if they move they calm their visual cortex and are able to hear and process information better - so trampolining together/ driving/ swinging/ spinning/ walking/ running/ movement on TV or computer or tablet/ or taking a train etc all help with your child hearing and processing information..... Yes that is why they like it, our kids do it naturally. Get involved - if they are dancing to a song, dance too, sing along and notice how they start engaging with you. Just thing about how much easier you find having a chat with a friend or thinking when going for a walk - our kids aren't that different. - Carly explains this better https://www.youtube.com/watch?v=sIzskJPy74E
Using their strengths
When they are moving talk like you don't know how to stop, make it relevant, sing as much as possible it helps our kids utilise more of our children's focus in an Oxford mri study shows that our children can learn better this way. http://m.brain.oxfordjournals.org/content/early/2012/01/26/brain.awr335
Bumblebee kids videos have some excellent resources for kids on the spectrum -
My son just loves their videos, they go over many things in relation to feelings, sentence building, explaining pretend play, meeting and greeting, prepositions, opposites. alphabet have all been ones that my son uses and learns from. https://babybumblebee.com/Children-With-Autism/
You don't need to spend to start noticing how well video modelling can help your child I found these on youtube and they are amazing I believe video modelling this way works because it can be done in the comfort and less anxiety of the family home. - No social things needs to be adhered to at the same time.
http://youtu.be/LHrs981J0-g How to build a sandcastle
http://youtu.be/et-Q2dzfvDQ How to use a slide
http://youtu.be/mcS90is6Tbg Sit - Stand - Run - Jump etc - also videoing your son doing these things helps and having the words at the bottom to explain with words is great like this http://youtu.be/3TMK_WgXkbU
I have made some playlists for our specialist children.
PS - The Basic learning social songs are great to help for all sorts, and some even replace social stories, way more fun and enjoyable to listen to.
Alphabet songs -
http://www.youtube.com/playlist?list=PLt1mf23I6t9TszXg98Jsailcu9QT9v-JJ
Animals -
http://www.youtube.com/watch?v=nsDanlM8_3c&list=PLt1mf23I6t9Qz_iouyEKLyKNFpJYxNmLr
Ball/balloon/bubble songs -
http://www.youtube.com/playlist?list=PLt1mf23I6t9StIe1FZQIZfIojbO9aZpbU
Communication clips -
http://www.youtube.com/playlist?list=PL9FexaiRQNK0dMmpnKMMPU_rs6TVpqAlU
Dinosaur clips -
http://www.youtube.com/playlist?list=PLPphPHIzdSQOEjoWBCEu1txWsWswfi9Ay
Basic learning social songs -
www.youtube.com/playlist?list=PLt1mf23I6t9RXN7Ls7H02rvvDf4l64Ql-
Frozen fans (3) - (added bonus sub titles)
https://www.youtube.com/playlist?list=PLt1mf23I6t9QB2_Vyc_SNSORjxnEYCv8i
Numbers -
http://www.youtube.com/playlist?list=PLt1mf23I6t9QPYVxMwM8khzSGHKFuBfhX
Planets -
http://www.youtube.com/playlist?list=PLt1mf23I6t9Tgs_wLdmZ_Lp9QhC4g8ODp
Trains -
http://www.youtube.com/playlist?list=PLt1mf23I6t9TRLVfSoIEF54u-Eu7tgZU2
We have subtitles on while watching TV because Edward loves reading the words, it makes it more interesting to "listen" to what is going on.
Endless Alphabet - https://itunes.apple.com/nz/app/endless-alphabet/id591626572?mt=8 and Endless Words - https://itunes.apple.com/nz/app/endless-reader/id722910739?mt=8 apps in ipad are excellent for visual learners
On how you teach -
Show don't tell (or I show and tell at the same time) - Say the word Jump and Jump at the same time. Better still is when your son is jumping just keep repeating the word "Jump" and "you are jumping", then you jump and say things like "jump" and " I am jumping" and "we are both jumping etc.
And please never underestimate how much your child can and will pick up and understand.
Ok please have a look through all this pick and choose what you like and start with that :-) Good luck, and if you want to talk and ask questions please feel free. :-)