We are a homeschooling family, and this is our first year. Most kids do lose quite a bit over the summer, but not all. My oldest has NLD, so even a day or two of skipping is difficult. Our academic advisor completed her internship at my ds's old school, and she had mentioned how she had always heard that children lose information over the summer, but was shocked to see how much some of them really do lose. She felt that the ones that seemed to lose the most were ones that spent time watching tv, playing video games, etc. however.
I think that kids who are driven to learn (all kids are if given an enriching environment!), will lose much less than those spending the summer on their bums parked in front of a tv/game console. We cut out tv in January, and I'm amazed to see how much creative energy has replaced their desire to watch tv. They don't stop learning, they don't stop looking for answers to their burning questions, and my youngest who HATED to be read to as an infant/toddler/preschooler is now an avid reader.
I think if you're worried about the math facts going away because of a LD, you should continue to work through them over the summer. We play a ton of games in our house as part of learning, and my 5 year old absolutely loves Yatzee right now which is fantastic for reinforcing basic math facts. You could even make a game of war with a group of dice (like the cardgame).
There are a ton of really fun ways of reinforcing those skills that you may be worried about losing without invoking worksheets, or workbooks, or even making it seem like something academic. I have become the queen of disguising "academics" for my little guy because he is resistant to anything that looks remotely like schoolwork due to an extremely traumatic school experience.
