Recommendation for High School Geometry book

Click For Summary

Discussion Overview

The discussion revolves around recommendations for high school geometry books, focusing on affordability and the availability of e-books. Participants share their personal experiences with geometry and express a desire to improve their geometric reasoning and spatial visualization skills.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant, cbarker1, seeks recommendations for geometry books to enhance their understanding and spatial reasoning, mentioning previous difficulties with geometric concepts.
  • Another participant suggests "Geometry for Enjoyment and Challenge" as a highly regarded title.
  • A different participant proposes alternative methods to improve spatial reasoning, such as using 3-D CAD software for visualization practice.
  • One participant recalls using a geometry book by Dolciani and Plane from 50 years ago, later correcting themselves to specify just Dolciani's "Modern Geometry."
  • Another participant mentions "moise/downs geometry" as a potential resource.
  • A participant shares a link to a book they are currently studying, suggesting it may be helpful.
  • Another participant expresses a preference for Euclid's work and recommends Hartshorne's text as a guide.

Areas of Agreement / Disagreement

Participants present a variety of book recommendations and approaches to improving geometric understanding, but there is no consensus on a single best resource or method. Multiple competing views on effective learning strategies and preferred texts remain.

Contextual Notes

Some participants reference personal experiences with geometry from decades ago, which may influence their recommendations. The discussion includes a mix of modern and historical texts, reflecting different educational approaches.

Who May Find This Useful

Individuals looking to improve their understanding of high school geometry, educators seeking resources for teaching, and those interested in enhancing their spatial reasoning skills.

cbarker1
Gold Member
MHB
Messages
345
Reaction score
23
Dear Everyone,

So I would like some recommendation for high school geometry books that are affordable and preferably e-books.

Why do I need some books on high school geometry? I would like to improve my geometric reasoning. When I took high school geometry a decade and half ago, I was freshman in high school and not paying attention to the subject. I understand that I have a deficient in spatial reasoning as well as having a hard time picturing congruences and similarities between polygons and triangles.

I understand some basics, but I would like to know the intermediate knowledge. When I took high school trigonometry, I enjoyed the subject and understood the topics up to the applications to geometry (where I had trouble with it). So far, the geometry books that I have are Master Math Geometry and 300 level geometry book- Euclidean and non-Euclidean geometry by Greenberg.

Thanks,
cbarker1
 
Physics news on Phys.org
The book with the best title is Geometry for Enjoyment and Challenge, by Rhoad, Milauskas and Whipple.
The inside is pretty good too.
 
  • Like
Likes   Reactions: cbarker1 and berkeman
cbarker1 said:
I understand that I have a deficient in spatial reasoning
There are other ways to improve your spatial reasoning beyond studying Geometry. Can you say more about what situations you find yourself in where you wish you had better 3-D visualization skills?

One way to work on this (sorry for the engineering perspecive) would be to download a free 3-D CAD drawing tool package and experiment with drawing 3-D objects and rotating them. That may help you to start getting a better 3-D perspecive and mental model of things... :smile:

https://www.sculpteo.com/en/3d-learning-hub/3d-printing-software/best-free-cad-software-selection/
 
  • Like
Likes   Reactions: cbarker1
The authors of the book I used 50 years ago was Dolciani and Plane. I have no idea how I remember this after 50 years.
 
Correctiom: it is just Dolciani, Modern Geometry. I got confused
The chemistry text I used in Sienko and Plane. I interposed the Plane as an author in geometry.
 
moise/downs geometry
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K