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Pre geometry resources besides Understanding Geometry


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I would like to add some pre-geometry while ds does Jacob's algebra 1. I know that Rose uses Understanding Geometry. Are there any other pre-geometry books out there to use alongside algebra? I would love ds to use Jurgenson geometry with strong proofs, so I think having good exposure to some lighter geometry will help him use Jurgenson successfully when it is time.

Thanks!

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Euclid Elements is worth reading alongside algebra

 

The most recommended version on this board seems to be the Green Lion press one

http://www.amazon.com/Euclids-Elements-Euclid/dp/1888009195

 

The one I read is the free pdf by Fitzpatrick which has the Greek text alongside.

http://farside.ph.utexas.edu/Books/Euclid/Elements.pdf

Oh oh, totally forgot! There is the digital version where you get to experiment with the postulate right on the screen. I pinned it a bit ago. Let me go find it....

Here is the website:

http://aleph0.clarku.edu/~djoyce/java/elements/toc.html

There are also some good YouTube videos out there as well, like this one going through all of Book 1:

http://www.youtube.com/playlist?list=PLFC65BA76F7142E9D

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We've been struggling with UG, but I am all ears about these other suggestions.  Shannon doesn't think in Geometry, and neither do I.  It was the math I struggled with and never understood in high school.  When she did GATE testing in 3rd grade, she tested at the top or ceilinged out of all the categories except for spatial reasoning.  We're both having a hard time & not liking it right now.  I guess this is our grapple subject!

 

Of all these resources, and anything else, what would you use with a kid (and teacher) who is not a visuospatial thinker?  I like the idea of stepping back and working on logic puzzles or thinking games like SET.  Anything especially good for a 7th grader?

 

I also wonder if we need the big picture - what is this geometry thing all about, anyway?  I know that James Taunton did a Teaching Company course on Geometry, has anybody used that?

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Ack! Help me navigate this.  Do classes correspond to US grades?  Which book do I want to look at?

 

You can also download the whole books through Notemonk, but I usually do individual chapters via here:

http://ncertbooks.prashanthellina.com/

 

The grade levels are roughly US grade levels, though the scope and sequence will be a little different from American schools.

 

Look at the chapters for the 6th through 8th or 9th grade level math books (in English) and you can pick and choose any chapters that apply. So, for example, here's the 6th grade English math book:

http://ncertbooks.prashanthellina.com/class_6.Mathematics.Mathematics/index.html

 

Chapters 4, 5, 10, 13, and 14 are all geometry topics.

 

By the 8th grade book, the geometry topics seem to be things that would be covered in a basic high school geometry class in the US, though it could still be a good introduction. 

 

I haven't used much of the geometry. One of my ds used a couple of chapters and we really like these - I'm not sure why more people don't use them, honestly. The middle school books are nice with a "less is more" sort of approach (though I'm sure in schools there is a lot more drill made to go along in India). There are some funny cultural things for Americans, but it's mostly understandable. There are a few different terms, but they were all easy for us to figure out - obvious, just different words. Indian math also has commas in different places, but it's not that hard to understand.

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Of all these resources, and anything else, what would you use with a kid (and teacher) who is not a visuospatial thinker?

Zometools would help. You form any geometric structure and then see it from many different angles. You can also use that to teach technical drawing (plan, elevation and front view).

 

Take an orange or grapefruit and slice it up. That would help for geometric properties of circles as well as explain integration.

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I got Building Thinking Skills Level 3 Figural to build spacial skills. I know a lot of people complain about these workbooks (boring, busywork) but we like them.

 

I have been reading geometry books for weeks now. I love, love, love the first Chapter of Jacobs Geometry (1st or 2nd edition...I have not seen the 3rd) for its logic. No matter what text we use for high school geometry, I will have DS go through the beginning of Jacobs first.

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From the K-8 board...

 

I know I'm like a broken record saying Waldorf, CM, and Montessori were not radicals among their peers, but often just regurgitating commonly used methods.

 

I found this geometry book that is identical to some of the beautiful Waldorf middle school math lessons I have seen, even down to the grades suggested for the work.

https://archive.org/details/constructivefor00hailgoog

 

If you want a free color lesson to use with the drawings, NCERT class 12 Graphic Design chapter 4 is on color.

http://www.ncert.nic.in/ncerts/textbook/textbook.htm?legd1=0-13

 

Have fun  :D

 

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