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When my daughter was 10 we were waiting in line to checkout at a Home Depot. She asked me what was algebra. I think she had heard the older kids mention it. I r
by intrasight 9y ago
When my daughter was 10 we were waiting in line to checkout at a Home Depot. She asked me what was algebra. I think she had heard the older kids mention it. I responded with a question. "A plus B = 10, and A minus B = 1. What are the values of A and B?" She puzzled it over while I check out. Then her face lit up like a whole realm of knowledge had just opened up to her, and she proudly told me the answer. It's a special moment that we will both always remember. She told me that as a camp counselor that she has challenged younger kids who seemed bored with the same problem.
Do challenge your kids intellectually beyond their years and you might be pleasantly surprised. My daughter heads to CERN in two weeks to study anti-matter, and I have no doubt that our brief intro to algebra at a Home Depot has a small role to play in that journey. Maybe Star Trek did too :)
- bjoli 9y agoAs someone who takes pride in having solved the first 100 problems of project Euler, I am slightly ashamed to admit that I probably spent as much time as your daughter to solve that. I got stuck thinking in integers, and quite quickly left the exercise as an oversight in writing the post (since X + y = even, X - y = odd is impossible for integers) 3 seconds into the first coffee of the day the realisation of my stupidity hit me in the face.
- mixmastamyk 9y agoIt's impossible until it's easy, like any good trick question.
- LolWolf 9y agoI mean, is there any other solution? There are certainly no integral solutions to the problem, but there is a unique (rational) solution. I feel like I’m missing something entirely, though...
- Sharlin 9y agoI was also stuck thinking in integers for a few seconds, perhaps because of the context. But yeah, a 10-year-old would already know about fractions.
- endeavour 9y agoI also mentally started thinking about integral solutions. I wonder if it's also because of the variable names... a,b,c tend to be used to represent integers (e.g. Fermat's Last Theorem, Euclid's algorithm etc). x and y are more commmonly used to represent real numbers.
- dzdt 9y agoRandom aside: once in high school I took a math puzzle test. The only problem I skipped was because they asked for "integral solutions." I knew the word "integral" only as belonging to calculus, about which I knew nearly nothing at the time. If I had realized in context it just meant "integer" I could have done it!
- intrasight 9y agoThey did make it a tricky question!
- intrasight 9y agoThanks for pointing that out. I'll use X and Y next time I share this story. Of course my daughter wouldn't have known at the time about the distinction, and neither did I - it having been too long since doing algebra ;)
- bpizzi 9y agoFor the posterity: {a+b=10;a-b=1} translates to {a+b=10;a=b +1}, thus the first equation is ((b+1)+b=10) giving (b=4.5), and from there we get (a=5.5).
- LolWolf 9y agoAnother fun way: add the two equations to get 2A=11 and subtract to get 2B=9.
- icc97 9y agoCoincidentally a friend at University had a dad who worked at CERN. His number one goal was to not work at CERN.
- intrasight 9y agoDo you know why?
- inanutshellus 9y ago(My guess) She spent her teens trying to get away from dad, why spend her working life there? :)
- icc97 9y agoI'm not totally sure why. The life living on the boarder between France and Switzerland seems pretty idyllic (but at the end of university you don't think about that so much). I got the feeling it was just that going to work where your dad is isn't very appealing no matter where it is.