Questions tagged [geometry]
For questions related to geometric shapes, congruences, similarities, transformations, as well as the properties of classes of figures, points, lines, angles.
12
questions with no upvoted or accepted answers
11
votes
0answers
212 views
Use of Lockhart's *Measurement* in a course?
I greatly admire Paul Lockhart's
Measurement
(Harvard Press).
Many of you know him through
A Mathematician's Lament.
One review of Measurement said,
“Here Lockhart offers the positive side of the ...
8
votes
0answers
175 views
Moore method projective geometry
Has anyone written a set of Moore method notes for synthetic projective geometry? It seems like it would be well-suited, but I haven't been able to find any such thing on the Internet.
5
votes
0answers
75 views
the role of context in mathematical discussions of units and measurement in web design
Knowing that pedagogy for each age group is different, I will say right off the bat I am talking about working adults.
I am noticing more and more, that despite people's phobias about math, they are ...
4
votes
0answers
146 views
Intuition: 5 regular polyhedra, 6 regular 4-polytopes, and then 3 regular d-polytopes
I have struggled to offer an intuitive explanation
(to U.S. college students)
why the number of regular polytopes in dimension $d$ is:
$d=2$, number: $\infty$.
$d=3$, number: $5$, the five Platonic ...
4
votes
0answers
94 views
Why define the names of quadrilaterals so that some categories (rhombus and rectangle) intersect and some (kite and trapezoid) are disjoint?
We're using Pearson's Geometry in my class.
As terms are defined there, Parallelograms include Rhombi (congruent sides), Rectangles (right angles), Squares (congruent sides and right angles, i.e. ...
4
votes
0answers
72 views
What are the best expository pieces related to the Van Hiele models?
The Van Hiele model (wikipage) "is a theory that describes how students learn geometry."
I would appreciate further insights into the original model, later models that expanded or re-worked it, and ...
4
votes
0answers
156 views
Explaining the algebra behind a problem in computer geography
For work, I tend to have to explain quantitative ideas to people with only some informal computer science training.
Yesterday, my friend wanted to draw a map on his computer and was concerned we ...
3
votes
0answers
131 views
How to explain angle hunting to students
$I$ is a point of the circle of diameter $JK$. The perpendicular bisector of $JK$ cut the semi-circle not containing $I$ at $M$. Let $N$ and $P$ be the orthogonal projections of $M$ on $IJ$ and $IP$. ...
3
votes
0answers
113 views
Sketching paraboloids on paper
I have to teach sketching paraboloids on paper by looking at it's equation. Last year when I taught this topic no one was interested in learning this particular thing. They felt the topic difficult ...
1
vote
0answers
103 views
Missouri EOC and the best Geometry book
I am a Missouri High School Geometry teacher. WE are adopting textbooks this year. I would like opinions on which books are most closely aligned with the Missouri Learning Standards because at the ...
1
vote
0answers
50 views
Geometry sample tests
I am teaching intro to Geometry using Moise and Downs textbook. It is an excellent text but somewhat old.
Does anyone know if there are sample tests that are available for use with this textbook?
0
votes
0answers
62 views
Recommend a website for creating geometric figures
I want to find a website where I can enter the names of vertices of a polygon, specify which diagonals should be depicted, and specify the measures of certain angles, and have the website generate a ...
