Originally posted by eltrickyYeah, sounds like fun! I hope she continues to find an interest in math as she grows up. I didn't catch the math bug till my early 20's, at which point I had to learn from the very basics. ( I couldn't add fractions when I decided to attend college) Now,(in my late 20's) the subject is a very big part of my everyday life. Keep up the good work!
Hi Joe, The way I worked the problem with my daughter was to get her to look up the formulas for areas of shapes. Triangle is half base x perpendicular height, square L x B and circle Pi x r SQ. For the circle to derive the radius you need Circumference = Pi x 2r. With the perimeters fixed at 12M just a bit of algebra with the formulas.
The triangle took ...[text shortened]... all she did well. It was also a good exercise to get her to show all working for maximum marks.
Originally posted by iamatigerSo, do you believe that the Mathematics is a manifestation of the Physics, vice versa, or niether? That is to say, can a mathematical concept be proven by physical experiment, and the converse also?
It can also be proven by experiment.
When you blow a soap bubble, the soap film wants to collapse inward, so it tries to contain the air with as small a surface area as possible, what 3d shape results? A similar thing in 2d is an elastic band stretched around a bunch of spaghetti: Does the shape of the band approximate a circle, a triangle or a square?
Originally posted by joe shmoMathematics is a philosophical discipline. It works with a set of axoims and Operators and expands from there. Some physical phenomena can be described by mathematical formula.
So, do you believe that the Mathematics is a manifestation of the Physics, vice versa, or niether? That is to say, can a mathematical concept be proven by physical experiment, and the converse also?
Originally posted by eltrickyYeah, its very good to have an intuitive grasp of physical systems. It makes the application of the mathematics to that system all the easier when its time to quantify some or all aspects of it. I'm a mechanical engineer, so I'm constantly racking my brain in an attempt to join the two (reality and math)...It seems to be a slow, and almost all times, a frustrating process (as I'm sure you can agree)!
Hi Jo, I have always believed that the two subjects are intertwined. It surprises me that maths is not taught with more 'real life' scenarios. I find that people, especially kids learn and retain the information if they can see a reason for doing it.
With my daughter I use a wage slip when teaching percentages, pizza slices for fractions.
With physi ...[text shortened]... people put in more effort if they are interested in something and can see a reason for doing it.