chocolate-chip chooky Posted October 16, 2016 Share Posted October 16, 2016 Following on from Lace's comment about greater-than and less-than symbols and those troublesome crocodiles who won't just do what the textbook says.... One for us was related to all quadrilaterals having 360 degrees. "Mum, don't you think that there could be a situation, somewhere in this infinite universe, where that isn't true?" We drew them in all shapes and sizes, chopped out their corners and what do you know? They ALWAYS fit together into a neat circle - yay 360 degrees. "But why does it have to be 360?" And then off on the tangent of ancient civilisations loving the number 6 and 60 .... Sometimes, just to have something accepted would be ... nice. But the world needs questioners. I just wish I had more energy for raising this one. What do your ALs question or refuse to believe? Quote Link to comment Share on other sites More sharing options...
luuknam Posted October 16, 2016 Share Posted October 16, 2016 Following on from Lace's comment about greater-than and less-than symbols and those troublesome crocodiles who won't just do what the textbook says.... One for us was related to all quadrilaterals having 360 degrees. "Mum, don't you think that there could be a situation, somewhere in this infinite universe, where that isn't true?" We drew them in all shapes and sizes, chopped out their corners and what do you know? They ALWAYS fit together into a neat circle - yay 360 degrees. "But why does it have to be 360?" Not sure it does... what about non-Euclidean geometry? Mathy people? 2 Quote Link to comment Share on other sites More sharing options...
Julie of KY Posted October 17, 2016 Share Posted October 17, 2016 Yes, it can be frustrating that they question everything, but I think they are better off for doing so. 1 Quote Link to comment Share on other sites More sharing options...
chocolate-chip chooky Posted October 17, 2016 Author Share Posted October 17, 2016 Yes, it can be frustrating that they question everything, but I think they are better off for doing so. Oh, I absolutely agree and I actively encourage it. I just need an extra cup of coffee now and then to get me through :001_smile: 1 Quote Link to comment Share on other sites More sharing options...
Mike in SA Posted October 17, 2016 Share Posted October 17, 2016 Not sure it does... what about non-Euclidean geometry? Mathy people? Correct you are. The assumption is that you have perfectly flat planes. 4 Quote Link to comment Share on other sites More sharing options...
chocolate-chip chooky Posted October 17, 2016 Author Share Posted October 17, 2016 Correct you are. The assumption is that you have perfectly flat planes. Out-thunk by my youngster yet again :o . There is a situation in this infinite universe where it isn't always 360! :hurray: 2 Quote Link to comment Share on other sites More sharing options...
Pegs Posted October 17, 2016 Share Posted October 17, 2016 Your LO might get thrills from draping string between points on a sphere in order to create triangles whose interior angles sum to greater than 180 degrees. :) 3 Quote Link to comment Share on other sites More sharing options...
chocolate-chip chooky Posted October 17, 2016 Author Share Posted October 17, 2016 Your LO might get thrills from draping string between points on a sphere in order to create triangles whose interior angles sum to greater than 180 degrees. :) Oh my, this sounds awesome and right up her alley (and brain melting for me....) I'll need to research this a bit so that I have any clue of understanding. 3 Quote Link to comment Share on other sites More sharing options...
Pegs Posted October 17, 2016 Share Posted October 17, 2016 Here's a start: https://www.quora.com/How-can-I-draw-a-triangle-with-three-90-degree-angles-on-a-sphere Enjoy! 1 Quote Link to comment Share on other sites More sharing options...
luuknam Posted October 17, 2016 Share Posted October 17, 2016 (edited) https://www.amazon.com/Non-Euclidean-Geometry-Babies-Math/dp/1480203246/ref=cm_rdp_product (also available in blue) My kids liked that book when they were little (I got it in 2013). Not sure where it went. ETA: It's probably a little simple for the over 6 crowd. Edited October 17, 2016 by luuknam 1 Quote Link to comment Share on other sites More sharing options...
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