Triangles are among the core shapes students learn about, and you've likely known what a triangle is for a long, long time. But do you have a simple definition you can use to explain these common shapes to your
of geometric truths. Such a theorem as “the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the sides” is as dazzingly beautiful now as it was in the days when Pythagoras first discovered it, and celebrated its advent, it is said, by sacrif...
A traditional objection to geometric courses based entirely on computer experiments reads as a picture cannot replace logical reasoning. This objection was discussed above in the general form. In fact, this implies that memorizing someone else's proof (with a doubtful understanding) is fundamentally ...
first time. The learning objectives of the teaching unit include (1) the basic properties of plane symmetry, (2) procedures to draw the symmetric of a point or shape respect to a given axis of symmetry and draw the axis of two given symmetrical points or shapes, (3) the definition of ...
Note: We did make one assumption about the Twizzlers: The Twizzlers represented lines, and the “arrows” that indicated that the lines go on and on forever were there and did not need to be created. This saved time and really helped when we created the shapes. Creating Geometric Elements,...
colored in pieces that I wanted to highlight. And I kept drawing circles and lines. And kept coloring. I dove head-first down the internet rabbit hole of geometric art. Soon, I was beginning to believe two important things: 1. Math was actually quite beautiful. 2. I was, in fact, ...
First, I had to be sure that problem solving and self-regulation abilities are achievable by most students. In a pilot-study during special courses outside the regular classroom, we ensured that combining training in problem solving and self-regulation produces benefits when compared to pure ...
First, I had to be sure that problem solving and self-regulation abilities are achievable by most students. In a pilot-study during special courses outside the regular classroom, we ensured that combining training in problem solving and self-regulation produces benefits when compared to pure ...
First, I had to be sure that problem solving and self-regulation abilities are achievable by most students. In a pilot-study during special courses outside the regular classroom, we ensured that combining training in problem solving and self-regulation produces benefits when compared to pure ...