Showing posts with label geometry. Show all posts
Showing posts with label geometry. Show all posts

Wednesday, February 20, 2013

Waldorf Sixth Grade Geometry

From "Compass Drawings"

I know I say this about every block we study, but we have loved geometry. The Waldorf approach is so appealing, and gentle. The Boy and I both have benefited from the lovely way geometry is taught in the Waldorf curriculum.  We both gained a little confidence and were able to immerse ourselves in creating beautiful, orderly, shapes.

From "Compass Drawings"
Last year we spent time exploring geometry through form drawings, practicing various patterns of lines, circles, and squares, but all free hand. This year we broke out the compasses, rulers, and protractors to make our shapes more mathematically accurate.

Main Lesson Book Polygons, Circles

We learned how to measure radius, circumference, diameter, perimeter, and area. We learned how to divide a circle in halves, quarters, and in sixths, eighths, twelfths on up to 24ths. We created spirals, hexagons, octagons, squares, and stars. We learned about angles, intersecting lines, parallels, and perpendiculars. And the Boy spent quite a bit of time just experimenting with the compass and ruler. He would often ask if he could make up his own designs. I was happy to oblige, it's not often that I see such enthusiasm for "work" from him.
From "Making Math Meaningful"

 The main resources I used were "String, Straightedge, And Shadow, The Story of Geometry" by Julia Diggins, "Making Math Meaningful," Jamie York Press, and "Compass Drawings," Enasco.


I also picked up a few workbooks from a yard sale to use for concept practice (measuring area, perimeter, and determining radius, diameter, and circumference, etc) We don't typically use worksheets, so they're kind of a treat for the Boy. Yes, he likes worksheets!

Besides using our compasses and rulers, we also crocheted shapes. I found a great book, "Beyond the Square Crochet Motifs" at our local library. Choosing a pattern, I would begin, then would give verbal instruction to the Boy.(Single chain x amount,etc.) After a few rounds, he would begin to notice a pattern. We continued our crocheting until he would eventually start to verbalize the steps to the pattern. Then I knew he "got it." Not only in his head, but in his hands as well.

Patterns From "Beyond the Square"
We used paints, colored pencil, and chalk pastel to color our work. And we enjoyed it so much that the Boy has asked if we could continue with our compass drawings. 

We are moving on to our next block, Greek History, but I'll still throw in a compass drawing now and then.









Wednesday, December 19, 2012

Waldorf Geometry: Struggles of an Artistically Challenged Mom

I love, love, love perusing Waldorfy websites and books, just poring over samples of the beautiful artwork. But, as an artistically challenged person, I sometimes get rather discouraged with my own abilities. If only I could create such dreamy paintings, vibrant pastel drawings, and accurate real life sketches. And the fabulous chalkboard drawings! What is an artistically challenged mama supposed to do?

Practice.

I recently read an article in which the author compared art to physical fitness.The idea was basically that you might not be able to do 10 pushups now, but if you exercise your muscles, eventually you will. Likewise, if you practice your art "muscles" you will improve.

With that in mind, I have decided not to beat myself up over my inabilities and just do my best, exactly what I expect of the Boy. (I never, ever disparage my work in front of him; I want him to joyfully create for creation's sake.)

Geometry has given us much practice work. And I have found I absolutely love coloring in our figures. It is so relaxing!

Before each lesson, I practice whichever figure we'll be doing the following day. On day 2 we practice it together on scrap sheets. And finally it goes in the main lesson book. While he's doing his mlb version I usually spend my time coloring my practice sheets.


My practice sheet


The Boy's practice sheet


And, just as I work my physical muscles, I will also continue to practice, stretching my artistic muscles. And yes, I can now do 10 pushups.

Note: For inspiration, I like waldorftoday

I also started building a pinterest board, pinning all kinds of images and tutorials.

And this year i purchased a book by Thomas Wildgruber, with lessons for improvement.