Tuesday, April 25, 2023

Calendar Math: Daily Date-Inspired Prompts to Inspire Math Talk

Math talks are regular, short conversations about purposeful math problems with children. These are intentionally crafted to invite children into specific math situations, helping them to improve their mathematical confidence and abilities. Math talks are meant to be open-ended opportunities that have multiple entry points and approaches for interpreting and solving the problem. To learn more please read my article Joyful Number Talks in Kindergarten available here:

 

The Journal of Teaching and Learning

Vol. 13, No. 2 (2019) pp.43–54

https://jtl.uwindsor.ca/index.php/jtl/article/view/5684/5082

 

In my classroom I engage children in daily math talks during our first whole group time together. I often use the date as a focus for the number talk. For example, if the date is December 10, I use the number ten as the focal point of our math exploration. 


Over the years I have shared my math talks on social media and have been asked repeatedly to create a guide to support educators who wish to engage their students in math talks. This served as the inspiration my book Calendar Math. This book provides photo prompts and accompanying questions is that educators can use these to engage children in regular conversations in the classroom. In the book each calendar date (numbers 1 through 31) has four different pages with accompanying prompts. Use them for different months and also as sparks for creating your own daily number talks with children. 

 

To help educators get started here is a collection of photos representing the numbers 1 to 31 available as a PDF file. They can be digitally projected or printed and used as part of your morning math talk. Feel free to use them to support and supplement math discussions with your students!


Saturday, April 22, 2023

Creating Geometric Art Outdoors

 “Colour is a power which directly influences the soul.” 

Wassily Kandinsky 

We spend at least an hour outside each day, rain or shine. Often explorations in the yard are child directed but occasionally I like to offer invitations for learning - especially those that integrate math and art. A popular activity this week was creating geometric chalk art. It is a very easy and effective way to explore spatial awareness. 
 
Step 1 is to create a shape on a flat surface using masking tape. Divide the inside into smaller shapes.

Step 2 is to invite children to colour the inside of each shape using a different shade of sidewalk chalk.


Step 3 is to remove the tape once the shape is completely coloured and admire the artwork!

It's fun to create different sizes and shapes of chalk art...


 
...and incorporate it into dancing and jumping games!
 

Sunday, April 16, 2023

Using Outdoor Discoveries to Inspire Rich Math Talks

"It's the little details that are vital. Little things make big things happen."
John Wooden

Now that spring is emerging muddy conditions are common in our school yard. Although some educators shy away from messy spots, I find they are often one of the best places to notice and name rich, authentic math.

One morning the children were exploring the yard and noticed interesting tracks on the path. They took their time observing the different prints they found. They wondered who had been visiting the space and how the markings were made. They noticed that the prints appeared to be dried in the dirt and preserved in the thick mud. 

 
 
The tracks that fascinated us the most were those made by animals. Our school is located near a wooded trail and our yard is frequented after hours by coyotes, deer, geese, wild turkeys and dogs. The children compared the different tracks and used their prior knowledge to try and identify the animals. We also used a handy animal tracks identifier to help us as the difference between some tracks is minimal.
 
               
The children were also very curious about the shoe/boot tracks that they found alongside the animal tracks. Within each we noticed intricate shape and line details that differentiated them from one another. We identified many shapes including circles, diamonds, hexagons and squares. There were also many different lines in each - straight, wavy, and zigzag.
 

      

     
We wondered if our footwear matched any of the tracks. The children examined each other's feet to see if they could find a match between their shoes and any of the tracks. This inspired rich observation and discussion as small details were noted and comparisons were made. 
 
In order to capitalize on this interest I printed large photos of a shoe and animal print and brought them to our whole group discussion. I asked the children to consider what was the same and different about each print. I also used the thinking routine 'see, think, and wonder' to facilitate math talk and help the children mathematize the photos. 
We also brought this interest in prints to our art center where children were invited to paint our spare classroom boots and stamp them to see what kinds of prints they made. 
Once the tread prints were dry the children brought them to our whole group gathering time and we continued to observe and discuss the shapes and lines we saw in each. The children grouped the prints according to similarities and also compared the size of the marking to their feet in order to see which was the bigger foot. 
 
As spring weather continues to bring rain, the children's interest in tracks endures. The children are now curious about how long an entire track path is, how deep the prints are in the mud and how much space is in between each print. They wonder about how far and fast the person or animal might have been travelling and use these clues to help them hypothesize the speed and distance. Each time a discovery is made in the yard I carefully document the findings using photos and videos so we can bring the information back to our whole group conversations and build our collective knowledge about tracks. 

Our next step will be to record ourselves making tracks in the mud using digital tools. We will use the different recording options on our smart device including time lapse photography and slow motion recording. These will be interesting to watch and will hopefully help us understand more clearly how the distance, pressure and speed of movement will affect the way a print is made in mud. Stay tuned! 

Looking for a resource to support mud play? Check out my book Muddy Math available on Amazon!

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