Where to apply knowledge of geometry in practice and what is missing for children? (Applied Geometry)

  • Dec 10, 2020
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Good day, dear guests and subscribers of the "Build for myself" channel!

Every time I come across my kids' homework, where it is required to calculate the perimeter, height, area, angles or carry out other calculations of any abstract triangle, trapezoid or any other figure drawn in the puzzle textbook.

My daughter has already tortured me with questions, but why does she need all this and how to apply it in life, since the teacher, understanding the topic, still does not tell in the classroom and does not give specific examples?

And of course, as a parent focused on the effectiveness of the education of your children, you try to give them as much information as possible, chew on every problem, to come up with something and simulate on the go, shifting all calculations to any objects that occur in real life, since building a house under nose ...

Reasonable question:Why is it still that textbooks do not construct the content of all tasks, proceeding from the real conditions surrounding our life (there are only a few such tasks)?

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After all, the main goal of education is the practical part of preparing children for adulthood. It is as if they are giving children their brains - twisting tasks in such a way that sometimes even an adult cannot correctly understand the condition.

After all, you must admit that if a "living" triangle or other figure is in front of your eyes, then it is more natural to be understood and remembered, it is easier for a student to usefully make a calculation than just with a naked figure:

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Why not? After all, a lot of tasks can be linked to the realities of life. The exhaust is a colossal and practical lesson is learned by a person for several years ahead!

I have a series of articles on the application of mathematics, geometry and trigonometry in life, because this is much it is easier for a teenager to understand, and a natural picture develops in front of him - clarity and visualization are real. I think this is very entertaining and interesting, in any case, my children excitedly read all my articles on this topic!

For example, an article analyzing the properties of such triangles and some physical processes, applicable in real life, such as "angle of incidence and angle of reflection" or "body path in free fall ":How to determine the height of an object at a distance? (5 ways!)

Further, about equal diagonals, not only in rectangles and squares, but also in other figures: If the diagonals are equal, this does not mean that you have a level house. Why? I'm telling a story!

Another article on the construction of right angles in various ways (according to Pythagoras, with a compass, with a marking scale of a tape measure, or just an existing piece of rope): How to build a right angle on the ground? Ways You May Not Know About

An article describing the use of trigonometric functions in roofing:Knowing trigonometry, you don't have to bounce around the roof with a tape measure. Practical examples

Friends, there is still such a very cool thing - Svenson's square, which only a few know about (it was invented in 1925), but because neither the geometry teacher nor the labor teacher talked about this (judging by myself and by the children). Perhaps due to his specific functions, but still the Trudovik had to tell (if not he, then who will?) ...

The square has all sorts of auxiliary marking "counters", combines a goniometer, a scale geodetic slope and many other useful notches, including for marking roof rafters legs. The common people call this triangle roofer's square:

All scales plotted on it are linked by certain trigonometric functions, for example: when measuring the angle of the main slope of the roof or any other element, we no longer need to calculate the arctangent of the angle, marking the triangle shows the finished value of the angle hip rafters or valleys relative to the entire roof (i.e., all the saws of rafters can be made on the ground and not worry that the corners will diverge somewhere during the construction of the rafter systems):

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And this is far from its only function. There are about a dozen of such tricks about which I plan to write a review of this tool. It simplifies the work many times not only for the roofer, but simply in everyday life for the handy owner of a private house and such a tool is worth having on the farm!

And when paired with a plumb line, it becomes a "nuclear" functional gizmo! :-)))

Swenson's Square (Photo source: https://mysku.ru/)
Well, as far as education is concerned, we, as parents, are responsible for our child and, of course, we are trying to give them much more than we know and have ourselves!

Thanks for attention! I would be very glad if the article was useful to you and subscribe to my channel!

Markup (Photo source: https://i.pinimg.com/)