
Happy Independence Day1


I’ve posted before here about The Golden Angle, the mysterious 137.5 degree angle that appears in nature and, and my students’ explorations with finding it outside here and here. Recently, I was showing someone about the Golden Angle and how amazing it was in nature. This prompted me to see if I could find it in other places besides an oak tree leaf and grass. Well guess what?! I did. Taking time for a tiny nature walk collection in my yard yielded some more amazement!
With most leaves, I found that lining one side of my angletron tool up to the stem allowed the other side to hit the first vein in the leaf.
Fig tree leaf immediately below:


Shrub leaves below:

Notice how the branches separate at the 137.5 degree angle below.

Nut grass, as my mom calls it, is below. I’ve notices the regular lawn grass grows this way, too when it goes to seed.

I love intriguing math mysteries, and I hope you enjoy them, too.
Not long after I started plucking leaves out of my yard, I noticed a mathy friend of mine posted something on social media about the number 137. Strangley enough, this number is a really big deal to physicists and called the fine-structure constant! Who knew?!
I rarely leave kindergarten without a story to tell about the events that happened while I was there. The story I am about to relate is probably my favorite one from the whole year.
I taught my normal lesson, and at some point during the time, I needed children to pull out a glue stick. It rarely fails that at least one child is without a glue stick when I ask them to pull one out. When one child let me know he didn’t have a glue stick another child readily volunteered his. I spoke to the one who lent the glue stick and said, “Thank you Johnny for being kind.” Immediately after this tears erupted from close by. Why the tears, you ask? The tears were accompanied by these words. ” I wanted to be kind…I wanted to be kind.”
I love the rawness of kindergarten–raw emotion. There is no holding back as with adults or grown up children. In fact, I think most adult behaviors could be explained with a trip to kindergarten.
In all honesty, don’t we all want to be recognized for being kind? In many cases, we as adults aren’t kind because it helps someone or because it is the right thing to do. We do it because in our pride we selfishly want accolades for our kindness.
This was probably one of the best projects we did this year. My students made amazing U.S. landmarks from recycled items. Part of the challenge was to include a circuit that lit up. Students accomplished this with Christmas lights. Even if they didn’t bring their project to completion, all students gained more understanding of the landmark they studied and where it was located on a map. In the current educational world where social studies time is lacking, I am grateful for their learning. See some of their work below.



This little adventure began with me asking students if they could name the capitol of their state when I by happenstance was watching a classroom for a few minutes while the teacher stepped out. Do you know I called on seven….SEVEN…children before one could identify the capitol of their own state. The children I asked were of the age that they should have known this. Further, I work in a good school! They all lived in the capitol to make matters worse. Before you develop an inflated view of the school you teach in, I challenge you to pose the same question to your students to see what they say.
After asking children this question, I was prompted to do a Geography Bee. Too, this supported the teachers who are teaching an exhaustive reading curriculum with very little time to teach science or social studies. Round one was to name all of the states. Only one student out of 3rd, 4th, and 5th grade was able to accomplish this. Less than 10 students named 40 or more states. Now for the whopper–more than 30% of students weren’t able to identify their own state on a U.S. map!! Could this be happening where you live, too?!
As a result, I borrowed some older children the last few days of school to do a blitz of our state all over the building. I had 40 state cut out-outs, and about 20 maps. Then I had children color them on a U.S. map. My helpers were so cunning that they even plastered a few outside the school building! See some examples below so that you can maybe make your very own state blitz.



Side note: I also love this video which shows the 50 states while they are highlighted during the song.