I know preschool and kindergarten is a time to play -- and find learning in everything we do. However, I also know that some kids are really searching for more in certain areas at different stages. And, sometimes a curriculum or a spine or some other framework can provide more sanity for an over-committed Mom who may not have "preschool play" energy!
If I was to look at math philosophy, the closest math curriculum to fit my style would be Math on the Level where students need to cover a certain amount of the concepts but the order and timing is really up to their individual learning styles. Sometimes students are in "fraction mode" and just want to keep exploring fractions way beyond what "2nd grade" fractions entail. Sometimes you need to go with the window that's there and keep moving.
However, it's sometimes more work to be on top of those areas and know what to pull in next, it's often unsettling to go with a completely flexible route --especially for a math-uncertain parent, and many traditional math programs have great aspects to incorporate.
Guess that's why we've used many different programs over the years with my oldest.
Here are some to look at for Early Elementary.
Right Start Math (if one agrees with their math approach, it's worth starting as you mean to go on, rather than re-learn some of the approaches)
Singapore Math -- for $8/workbook, if you have a workbook kid who wants to do more school, this is an inexpensive approach and is great at approaching math concepts in a couple different directions to give a really solid understanding of what's going on.
Moving Beyond the Page -- some of these 5 to 7 yo units look like they'd be a great fit for Jm.
For Bj, we had great success with Math-U-See -- the best parts were: Decimal Street (an amazing intro to adding and subtracting, place value, carrying) and Skip Counting.
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