Do you use maps? Perhaps you use your GPS but it gives us a map to follow. Today I get to share with you a new picture book that shares a bit of the history of maps and how they have been made over time. The book is The Shape of Things: How Mapmakers Picture Our World by Dean Robbins and illustrated by Matt Tavares. It is recommended for ages 4 to 8.
As a high school math teacher, I love finding fun ways to share math with kids. Recently I have been reading Learning to Love Math by Judy Willis, M.D. In it she mentions how math is the one school subject that conjures up a series of emotions for most people and usually they are negative. I cannot tell you how many times people tell me they can't do math or hated math when they find out I'm a math teacher. One of the things Dr. Willis mentions is we need to change this in society. We need to stop telling kids that adults didn't do well or hate math. Parents, teachers, coaches, etc. are giving kids permission to not do well in math and to not really try. So please if you are one of the people who does not like math or didn't do well, please keep it to yourself. Don't give kids the permission to be like you. It is something we are working on at our school this year. With that said I get to share a great series of middle grades mystery novels about a bunch of math loving students who use their math to solve mysteries!! The series is The Math Inspectors by Daniel Kenney and Emily Boever. This series is recommended for ages 9 to 12.
Last week was a stressful and emotional week at school and home, so I wasn't able to post. I have realized when I'm not in the right mindset my reviews are hard to write. For a while I have wanted to share some ideas I use in my geometry class with origami paper. I will be sharing four new packages of origami paper with you in this post. I keep a box of origami paper in my classroom and students come and get some when they are feeling creative or need to relax. I also use it in my geometry class. I have the kids do a project using geometric terms project using geometric terms, but I also use it for some easy discovery and illustrating properties. I have been wanting to share these ideas with you. May is the perfect time to introduce it since origami is a Japanese art form and ties into Asian American and Pacific Islander Heritage Month.
One thing I love to do is bring origami into my classroom. Whether using the old patty paper methods to discover theorems and such or doing origami and perhaps an origami project to demonstrate using geometric terms or just to have cool geometric shapes around the room, I love adding origami. I actually have a box of origami paper in my room-- a boot box covered with Asian wrapping paper. Students come in all the time to have a piece or two just to create something for a relaxed moment. Today I am sharing a book full of geometry and geometric shapes all created by origami and two different packs of origami paper (which all will be added to my classroom supply). I have a shelf full of origami books and kits as well. The book is The Art & Science of Geometric Origami by Jun Maekawa. The packs of paper are Origami Paper 300 Sheets Vibrant Colors 4" (10 cm) and Origami Paper in a Box Japanese Washi Patterns.
I am heading back to school for teacher training and the pre-school year prep. One of the things I always have in my room is origami paper and books. I use them with my geometry classes and pull them out during breaks and students come in to get some when they need a break or something to do with their hands. Today I am going to share with you an origami kit and three packs of origami paper which I will be adding to my classroom collection! We will start with the kit which is Fun with Origami Animals by Sam Ita. It is recommended for ages 6 to 10. I would say it is perfect for beginners no matter the age.
One of my goals this year is to bring fractals into my teaching, especially in geometry class. Today I am going to share the fractal tree. It can easily be done on a computer but is also great for practicing measuring with a ruler and protractor. Now a fractal tree is probably one of the most basic fractals and well-known or at least its cousin, the fern is certainly seen as a fractal.
In geometry class we have been talking about the special segments in triangles. It is the perfect time to introduce my origami project. To start I shared a tutorial with them making an origami bunny balloon. I use terms from our lessons like median, midsegment, angle bisector and more throughout the tutorial. The kids make one with me in class. Then I give them my assignment. The kids enjoyed spending the class trying different origami projects. You can watch my tutorial here. I love that I am making an origami bunny balloon when lunar new year is going on and it is the year of the rabbit in Chinese Horoscope.
One of my goals now that I'm teaching is to share some of the projects I am doing with my classes. Before break I was teaching my geometry classes the congruent triangle shortcuts: SSS, SAS, SAA, ASA, and HL (for right triangles only). In one class I assigned a congruent triangle project. I gave the kids the choice of building a truss bridge, making a gazebo, or making a congruent triangle picture that had at least five different pairs of congruent triangles (one for each shortcut) and they needed a page showing each of the pairs as congruent with one of the shortcuts or needed to mark them in their drawing. Most of the kids picked the drawing. I wasn't in love with the gazebo tutorial, or the gazebo made in it so I thought I would make my own. Today I am going to share my gazebo as well as a project sheet to assign it. (I am still deciding if I am going to assign it to my other class or not as they are about half a chapter behind the other one.)
Today I am going to share some fun math art looking at a famous fractal--the Sierpinski Gasket or the Sierpinski Triangle. It is a perfect fractal to have kids create and goes well with geometry lessons. A fun way to introduce it and create it is the Chaos Game. Here is a video showing the Chaos Game with a triangle, square, and pentagon. With the triangle the Sierpinski Triangle will appear with enough iterations of the game. The rule as explained in the video is to begin with a random point. Then randomly choose a vertex. Connect your point to the vertex and find the midpoint. (Erase the line.) The midpoint is your new starting point. Repeat. This is a game you could easily play in a class as well. Don't watch the video first though.
As I continue to think about my new job in September and plan for what I want to hang in my classroom, I am exploring the Pythagorean Theorem. The Pythagorean Theorem is probably one of the most well-known or well-remembered theorem in math. It is often taught in both algebra and geometry. In algebra it lends to working with exponents and roots and in geometry with triangles. I have seen memes saying how people did not use the Pythagorean theorem today, but I have also been told by many people that they have used it in their lives from building a new deck and woodwork to programming and more. Although math has real life applications and was mostly discovered to explain the world, much of math is taught to help develop the brain of our children. In high school the brain is just beginning to truly develop its logic skills and math is huge in helping with this. The Pythagorean theorem also is mentioned (incorrectly) in the Wizard of Oz. Yes, it is this famous!
Although it is named for the Greek mathematician, Pythagoras, it was known throughout the world before his time. It is referenced in Ancient Egypt and Babylon (around 1900 BC). Apparently, it did not become as well known until Pythagoras stated it. There are many proofs of this theorem and some of them like the one below is a visual proof.
I love teaching geometry. It is funny because I took geometry in summer school to get ahead in math. Eighth or ninth grade is when my math brain kicked in and I wasn't in the honors program. So, the summer after ninth grade I took geometry in summer school to get into the honors program. My own exposure to geometry wasn't great because of the rushed aspect of summer school, but when I started to teach geometry, I fell in love. Geometry is a visual math. There are so many things that lend to projects in geometry and origami is a fun way of exploring shapes and can be a fun enrichment to any geometry class. I have shared different products and lessons over the years involving origami and math. Today I get to share a book that teaches the ultimate geometry lessons with origami--the polyhedra!! The book is The Complete Book of Origami Polyhedra by Tomoko Fuse.
Have you noticed how gnomes seem to be so popular these days? They seem to be the in thing for the past couple of years, and they have moved into different seasons. It used to be gnomes were for Christmas and maybe the fall and of course the garden. Now they seem to jump into every holiday! I was thinking about gnomes for Valentine's Day. And I was thinking about how paper gnomes would lend to geometry. Then I was thinking back to our Waldorf School days and remembered a felt gnome tutorial. I went and created different kinds of gnomes for you! The first one I made is the one on the right.
Today we get to talk about one of my favorite subjects! MATH!! As a former high school math teacher, I always love talking math. My life has been a bit busier because I have been volunteering and subbing at the high school end of Hazel's school. My volunteer work is helping kids with their math and sometimes even being in the classroom as an extra adult to help. I love it! It feels good to be back in the classroom and especially without all the grading and politics! Today I am going to share four books that involve math, and they range for ages 7 through adult. We will start with the origami book. Origami is a fun activity to bring into the math classroom and there are so many math applications involved. The book There's Math in My Origami! 35 Fun Projects for Hands-On Math Learning by Fumiaki Shingu, shows how math can be taught in the origami projects. It is recommended for ages 7+.
Today I am going to share with you a fun building kit. It involves some crafting, math, art and more and I always love when you can make learning fun. Mind-Blowing Paper Puzzles by Haruki Nakamura does just that.
Have you heard of the four gift rule? It says parents should give their kids only four gifts: something they want, something they need, something to wear and something to read. With the holidays quickly approaching I want to share some fun books this week in time for you to make purchases for gifts. If your child is like mine you will be buying books for both something they want and something to read. My family has been complaining because the only things on Hazel's wish list for the most part are books. (Hard to believe when you think about all the books I get to review but they are not all of the series she loves.) Anyway, today I am going to share with books that teach something to the reader. These books are for ages 8 - 18. Most are for ages 8-12 but there is one for high schoolers. We will start with Brain Candy 2 by Kelly Hargrave.
