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    • I invite you to step away from the workbooks and structured online programs that mimic school learning. Enrichment can look so different from a traditional classroom. Ask questions. Share what you're thinking when you make a comparison or divide a strategy or wonder something. Don't be afraid of not knowing the answers to kids questions, instead explore together by testing theories and researching. I love the blog and book What If by Randall Munroe. While your kids won't know all the physics he does, they can certainly engage in a similar thought process.

    • Patience. We live in a world that values math as a marker for intelligence. Don’t chase an invisible finish line.

      Most parents understand elementary math being constant rote memory and just do the steps of math. This does not allow for interpretation, reasoning, expression, and explanation. The experiences needed to understand what is being done through the use of math. Learn to implement mathemization. Use math language as often as possible. Introduce new concepts. Discuss relationships. Ask questions, prompt answers, and pose new problems. Have plenty of manipulatives, tools, work space, and supplies around.

    • For younger kids I think it is a super fun challenge to find ways to share advanced math ideas in ways that are accessible to them. Our paper folding "FamilyMath1" was already shared above, but here is FamilyMath2 - my younger son was 5 in these videos (and I just did FamilyMath985 with him today!):

      Another fun thing I did with both kids when they were learning arithmetic was making binary adding machines out of duplo blocks - this is quite similar to the already mentioned "exploding dots" exercise from James Tanton:

      It was a surprise to me how far you could go just with blocks -> here's a fraction division example:

      And here's a "proof with blocks" that a negative times a negative is a positive:

      For the 6th grader - by luck I'd previously written a post about 15 fun projects for a 6th grade math camp. I'd be happy to go into detail on any of these projects if there are any specific quesitons: