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Questions tagged [geometry]

For questions related to geometric shapes, congruences, similarities, transformations, as well as the properties of classes of figures, points, lines, angles.

-3 votes
2 answers
105 views

Visualizing Pythagorean Theorem & Area Formulas for Elementary Students

Pythagorean Theorem Visual Proof for Elementary Students Hello, I have a question for all the teachers and experts here. I’m an elementary school teacher, and I’ve created a visual aid and proof ...
kingyoon's user avatar
14 votes
7 answers
4k views

Why divide by three while calculating the volume of a cone or a pyramid?

As all of us know (at least I hope), we can easily see that the volume of a cone (or of a pyramid) can be calculated by the formula $V=\frac{G \times h}{3}$, where $G$ is the surface of the ground ...
Dominique's user avatar
  • 3,171
3 votes
5 answers
372 views

What are some Geometry books with problems harder than McDougal Littell's "Geometry"?

I am currently studying in Honors Geometry. Our textbook is Geometry by McDougal Littell. The reason I am looking for harder problems is because I always feel like the test problems are harder than ...
GeoStarPlatinum's user avatar
4 votes
3 answers
463 views

The addition postulate can be proven? [closed]

In the very beginning of a geometry book, the Ruler Postulate is introduced: Every point on a line can be paired with a unique real number. (exact quotes) Then, the Segment Addition Postulate is ...
chichi's user avatar
  • 143
0 votes
4 answers
878 views

How to teach Shapes?

I am planning to teach kids and do it properly so was going through Chapter 2 of 1st Grade Maths Text Book from NCERT India (here) so this is about shapes and before I REALLY Read it, I started ...
Ashish Shukla's user avatar
4 votes
3 answers
986 views

How does one call two triangles that are image by a rotation one each other?

Identical (i.e. isometric) triangles are the image of each other one by any isometry or composition of isometries. But is there a name for two triangles that are the image from one another by a ...
niobium's user avatar
  • 427
4 votes
7 answers
2k views

How to teach high school students to analyze diagrams in a proof?

I work as a math intervention teacher with high school sophomores who are currently taking geometry. The sequence of instruction is as followed (so far this year): Introduction to geometry - naming ...
RDrelli's user avatar
  • 41
1 vote
1 answer
171 views

Should I let go of some of the things I planned to learn, or should I take it as a challenge to try to accomplish all of the things I planned to do?

I'm a new graduate student majoring in pure mathematics, I prefer topics about geometry and algbra. I have spent three months in this grad school and I found the fact is despressing. There are several ...
Springer theory's user avatar
10 votes
6 answers
5k views

What is the simplest formula for calculating the circumference of a circle?

I am studying for a test to become a "paraeducator/instructional aid." One of the pages in the study guide has this information on computing area and perimeter and circumference and such: ...
B. Clay Shannon-B. Crow Raven's user avatar
12 votes
5 answers
3k views

How to justify formula for area of triangle (or parallelogram)

I'm going to be teaching my kids the concept of area soon. The concept of area of a rectangle (or square), $\text{base} \times \text{height}$ is fairly easy to both explain and intuit: you can break ...
StoneThrow's user avatar
2 votes
0 answers
71 views

Math textbook for secondary school using Logo like language

What math textbooks for kids do you know that use Logo or similar languages with visual robots like Turtle (in "The Turtle Geometry") that demonstrate space motions, transformations of all ...
paus's user avatar
  • 83
1 vote
1 answer
119 views

Math textbook for secondary school using Logo like syntax

What math textbooks for kids do you know that use Logo or similar languages with visual robots like Turtle (in "The Turtle Geometry") that demonstrate space motions, transformations of all ...
paus's user avatar
  • 83
4 votes
0 answers
150 views

When can students understand the intersection of two circles?

I'm interested in learning two transitions: (1) When can students reason (intuitively, but accurately) to conclude that two circles in the plane could intersect in $0$, $1$, or $2$ points, or are ...
Joseph O'Rourke's user avatar
2 votes
2 answers
189 views

Comparison of two ways to introduce translation to 12-14 year olds

I consider pupils 12-14 years old, who are new to translation. On the other hand, they have been accustomed to placing points in a coordinate system, especially when studying relative numbers. In ...
Stéphane Jaouen's user avatar
2 votes
1 answer
255 views

About a difficult exercise for 12 years pupils

You have to go from a point $A$ (start) to a point $B$ (arrival) by crossing a river $(d)$ and traveling as little distance as possible. Pupils first do a search by trying several paths $1,2,3,4$ and ...
Stéphane Jaouen's user avatar

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