When you're stumped on a question and google can't help....

Crayons are fixable, actually. You can't just push them back together of course since the wax is hard when you are using it. But, if you hold a heat source to the broken end the wax will melt a little and you can push it back together and they will hold. Alternatively you can take all your broken crayons and take off the paper and melt them down and make new rainbow crayons. They even sell a little contraption for older kids to be able to do that on their own. I've actually hot glued a crayon in the past. I like the crayons that are in the plastic piece and twist up and one of them broke down near the bottom base and I hot glued it. Worked like a charm. I don't know if that would work too well for regular crayons because there would be nothing to support the mended "wound."

My daughter would never let a question go unanswered. She's always been intensely curious and wants to know everything.

I would say that you have to make the crayon hot to fix it and you don't want to get burnt. I bet she'd accept that. I think ALL intelligent and well treated children won't give up until they have an acceptable answer, ESPECIALLY 2 year olds! LOL! Another trick that works with 2 year olds is if they keep asking why (which is a normal stage and they will continue asking it until you are driven stark raving MAD! ROFL! Even if you've given them good answers.) is to say your answer followed by that's why. For example: "I wouild have to make the crayon hot to fix it and it might burn me. That's why." Usually works like a charm. FIL taught me that trick.

Maybe you could ask her for ideas on how to fix the crayons and brainstorm together. Try the different ideas even if you don't think they'll work. If one doesn't work say "Let's try something else." I think helping the child discover what works and what doesn't is better than always having the answer. I ask my dd first "what do you think?" when I don't know the answer to a question (and sometimes when I do).

Some ideas for broken crayons:
Try tape or glue. It might not be permanent but for a quick fix it can work.
Maybe make a "splint" out of toothpicks for the crayon.
Use a wax adhesive. http://www.peakcandle.com/Merchant2/...egory_Code=ACC
Melt the ends slightly and press them together or dip the ends in melted wax (from a candle) and stick together that way. You could try warming the ends with a hair dryer or leaving them in the sun for awhile and see what happens.
Put it in a holder. http://www.bkfk.com/products/

Melt the broken crayons down to make new crayons. http://www.kidsdomain.com/craft/crayon.html
http://www.etoys.com/genProduct.html...e=cii_14110944
Collect broken crayons and send them to a crayon recycler.
http://www.recycling-revolution.com/...recycling.html

I can't help with the crayon thing, but I always make an effort to answer questions. If I don't know, I'll try an internet search or asking my more knowledgable friends. If that didn't help I would try to find a book at the library (not necessarily right then, but just make a note to check the next time you go). I do think it's important to answer questions and to give "real" answers, because that helps them understand logic and correlation.

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Rainbow crayons are great. Another thing you can do is let your child scrape crayons with a veggie peeler or butter knife onto wax paper. Put another piece on top and iron. It make cool "stained glass" pictures. Just hang in any window.

I think it is great when my kids have questions I don't know about. I learn something new and so do they because they are really curious. Brainstorming is great to do because it gets everyone thinking, communicating and coming up with cool solutions and ideas.