well I was just reading a book on aspergers and it explains pretty clearly why people with aspergers have difficulties problem solving and this presumably applies to the broader autism spectrum.
I'll copy and paste my notes on the book because I found it really interesting. It seems difficulty with problem solving underlies uneven skills. Sorry about the referencing. I'm in the habit of doing that because I'm studying and its easiest if I keep things consistent.
Hagland, C. (2010). Getting to Grips with Asperger Syndrome: Understanding Adults on the Autism Spectrum. London, UK: Jessica Kingsley Publishers.
As there is a difference in the brains of people with aspergers (AS), their problems are ‘hard-wired’(Hagland, 2010, p. 59). The person with AS can adapt and develop coping strategies (Hagland, 2010, p. 59).
The frontal lobes of the brain which deal with attention, short-term memory, planning, organisation, sequencing of actions and starting or stopping an activity is the most affected part of the brain in AS (Hagland, 2010, p. 55).
People with AS struggle to pay attention or hold information in their conscious mind long enough for it to be come part of their short-term memory (Hagland, 2010, p. 50). That is why people with AS will struggle to follow conversations (Hagland, 2010, p. 96) or verbal instructions unless the sentences are short, simple and one thing is asked at a time (Hagland, 2010, p. 52).
Although people with AS may have poor short term memory, their tendency to learn about things that interest them through constant rehearsal often results in good long term memory (Hagland, 2010, p. 51). Consequently, people with AS may be able to remember certain things but not recent or everyday things (Hagland, 2010, p. 51).
This difficulty in holding information in mind and remembering recent information also affects the ability of the person with AS to make decisions necessary for solving problems and planning (Hagland, 2010, p. 53). Therefore doing something the way it has been done before reduces the need to struggle with attention and short-term memory problems which is usually stressful and tiring (Hagland, 2010, p. 54).
The part of the brain responsible for getting started on an activity or knowing when to stop is also affected (Hagland, 2010, p. 55). Even when the person with AS does know what they need to do they may still have difficulty ‘remembering to remember’ (Hagland, 2010, p. 56). They may also have difficulty knowing when to stop, which is known as perseveration (Hagland, 2010, p. 55).
Timetables, lists, a diary, calender or card system displaying only one item at a time can act as supports for poor memory and reduce stress (Hagland, 2010, p. 61).