Showing posts with label shapes. Show all posts
Showing posts with label shapes. Show all posts

Sunday, April 13, 2025

STEAM in the Garden - Constructing Insect Houses using Natural Loose Parts

"Look deep into nature and then you will understand everything better."

Albert Einstein

The children were gathered around a large landscaping rock, working together to arrange twigs and flowers they had picked from the ground nearby.

"I think that this side should be the living room and the bedroom can be over here," Jack gestured as he spoke. "The living room will be next to the bedroom and the ladybug can crawl across by using this little bridge."

"So what are these little sticks here for?" Mary pointed to a little row of twigs placed next to each other.

"Oh, those are going to be the bed." Olive answered.

"But that's way too big to be a ladybug's bed," Mary responded.

"Oh," Olive pondered. "I didn't think about that.
 
"That's okay," Mary smiled. "We'll just find more than one ladybug and then the bed will be the perfect size for them to share." 

Spring was in the air and the children were excited to discover that many little creatures were venturing out into the warm sun. Ladybugs, rolly pollies, and ants were abundant and this sparked the children's imaginations. Eager to 'help' the insects the children set to work building little houses for them. They searched the yard to gather materials they felt would be best suited to this task. 
Each day the children would return to the mini houses and continue their work, focused on creating the most aesthetic and functional space for whatever creature they had found that day.  
   There are four steps to the design process for young children. When I reflect upon the children's garden engineering of the habitats I observed these steps in action:

Identifying a Problem - the children felt the insects needed a home
Imagining and Planning - children brainstormed that natural loose parts could be used to design and construct a habitat and engaged in conversations about what this might look like
Creating - children spent time over many days creating different homes for different living creatures
Improving - children revisited their creations each day and revised their plans when necessary
after they noticed new things about the insects or had engaged in conversations with peers
  
What might seem like a playful activity outdoors has the potential for much rich learning using an engineering mindset. When children create habitats outdoors they are participating in rich math exploration in action including:
 
-discussing, designing, and refining a plan
-classifying and sorting materials by common characteristics
-considering proportion as they build for specific insects
-using spatial reasoning and design as they manipulate materials
-thinking about measurement as they incorporate area and perimeter into their 'house' or discuss the attributes of materials (e.g., the heaviness of rocks, the length of sticks)
-counting materials gathered and used in the design process
-naming colours and shapes that emerge in their work
-using positional language to describe their creations
-thinking about balance and stability as they assemble materials 
-incorporating patterns or symmetry as they create aesthetic structures
 
It's amazing to notice and name the rich math learning that emerges in children's self-directed play outdoors. Taking photos and videos of the work, engaging in discussions with kids about their play, and reflecting upon the experiences can help educators make this rich learning visible to others! Sometimes nature is the most effective math teacher of all!

Sunday, December 3, 2023

Ten Easy Holiday Math Activities

The holidays are such a lovely time of year to spend with children! However the last few weeks before the winter break can be hectic. Here are ten easy to assemble activities that can infuse playtime with math by capturing the magic of the season! Many of the seasonal loose parts included in these photos were found at the local dollar store. Enjoy!

1. Count the Presents - offer children mini presents (or other seasonal trinkets including bells or ornaments) and number cards. Encourage children to match the corresponding number of objects to the cards. Children can also place presents on a laminated ten frame and write a corresponding addition or subtraction sentence using a dry erase marker.


2.  Holiday Sensory Bin with Mini Boxes - fill a sensory bin with seasonal trinkets and treasures. Add mini present boxes and encourage children to fill the boxes with different objects. Children can then use a hundreds grid to count how many objects fit in each box!

 
  

3. Catapult the Gingerbread Man to Safety - help mini Gingerbread Men land to safety over the river by firing them using catapults made from clothespins attached to blocks using elastics. This activity works fine motor muscles too!


4. Cookie Cutter Bell Count - display a collection of bells in a tray with a variety of seasonal cookie cutters. Challenge children to fill one cutter with bells and use a hundreds grid to count how many it holds. Which cutter holds the most? Least?


5. What's Inside the Presents? - fill different holiday boxes with loose parts. Encourage children to shake one at a time and estimate how many objects might be inside. They can then open the box and spill the objects out. Each object can be placed on a number grid and counted.

6. Fill a Tree with Trinkets - children can explore the concepts of area and perimeter by filling or outlining wooden trees (or other seasonal place mats or shapes) with a variety of bead strings, ribbons or small objects.

7. String a Pattern - secure a number of green pipe cleaners to a sturdy cardstock or cardboard base in the form of a tree. Encourage children to string beads to 'decorate' the tree using different patterns. Children can also count how many beads they use for each section.
 

8. How Many Elastics? - children can wrap a number of elastics around cookie cutters until they are filled. Encourage children to count how many times they wrap each elastic. For an added fine motor challenge have children remove the elastics one at a time.


9. Gingerbread House STEM Challenge - provide children with magnet shapes and challenge them to build an intricate gingerbread house. Ask them to search the room for various loose parts that will attach to the magnets and 'decorate' the house (e.g., here the staples in mini bows attract to the magnets).

10. Holiday Guessing Jars - fill glass jars with seasonal loose parts. Encourage children to estimate how many objects are in each jar. The objects can then be shaken out and counted using math tools such as number grids and ten frames.

 
 
Looking for a book to support holiday math learning? Check out my book Holiday Math
 


 

Sunday, September 17, 2023

Ten Free Printables to Supplement the 'Autumn Math Walk' Book

 "Autumn is a second spring when every leaf is a flower."

Albert Camus

Autumn is my favourite time of year. Once we have settled into the new school year it's amazing to head outdoors and appreciate the interesting changes happening in nature. There is so much potential for math learning outside of the classroom. 

To celebrate the 1500th copy of Autumn Math Walk being published here are ten free printables to use with children during outdoor math exploration. Autumn Math Walk is available through Amazon. Enjoy!

 1. Hundred Chart Printable

Print and laminate this page so that children can bring it outdoors and see how many objects they can collect. Challenge children to find 100 of the same objects (e.g., acorns, leaves). If children's collections are made of different objects challenge them to see how many of each there are and total these to 100 (e.g., 20 acorns + 15 rocks + 12 leaves...)

2. See, Think, Wonder

Provide a copy of this page for each child. During time outdoors ask children to focus on something that piqued their interest. This page can be used to delve more deeply into the observation using the 'see, think, wonder' thinking routine.

 
 
This page can be used to help children observe and represent something more closely. For example if children are curious about the vein patterns on the back of a leaf, they can represent what they see in a large format inside the magnifying glass.  

4. Scavenger Hunt

Before heading out on a math walk children can predict what they might see and draw these in the left column. For the walk have children attach the page to a clipboard and track how many of each object is observed using check marks or tallies.

5. Idea Web

This graphic organizer can be used to help children represent all the interesting things they observed on their autumn math walk. Papers can be distributed for individual use or a large one can be printed and used by the class when reflecting after their walk.

6. Autumn Colouring Page

Colouring can be a soothing activity. This fun page can be used by children during quieter moments of rest and reflection. It can also be sent home at the end of the day. 

 7. Autumn Counting

Ask children to look for different numbers or groups of objects on their walk. As they notice different arrangements of things they can fill them out on this page (e.g., 1 duck, 2 trees, 3 ladybugs...).

 8. Favourite Part

This template can be used once children return from their math walk. It asks children to reflect upon their favourite part of the walk by drawing a picture of what they saw, and completing a sentence to further explain their thinking.

9. Big and Little Objects

As children explore outdoors ask them to consider the size of objects they find. This template can be printed and laminated for children to use outdoors as they place objects directly in each column (e.g., small acorns, leaves, flowers, sticks). Children can also reflect upon their walk and draw pictures of small and large objects on the paper once returning from the walk.

10. Five and Ten Frames

These five and ten frames can be printed, laminated and brought out with children on their explorations outdoors. Challenge children to use the frames to count different collections of objects that they find. (The frames can be enlarged on a photocopier before laminated to accommodate very large objects). 

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!


Thursday, January 5, 2023

Daily Math Talks with Young Children

 

  “Mathematics is a very broad and multidimensional subject that requires reasoning, creativity, connection making, and interpretation of methods; it is a set of ideas that helps illuminate the world; and it is constantly changing.”
Jo Boaler

Math talks are a great way to engage children in open-ended explorations that invite them to think critically and creatively about a concept. An effective math prompt to facilitate a rich math discussion will be layered; it should be open-ended with multiple entry points for engagement. Even children as young as kindergarten are capable of participating in complex math conversations. In our classroom I aim to invite children into a math talk at least once a day; I sometimes use the numerical date on our morning message as the spark for exploration. Other times an interesting photo or collection of loose parts will be engaging and incite children into further exploration. I try to vary the invitations I provide in order to diversify the math we discuss and to reach as many learning interests as possible.

Recently I posted two Instagram Reels regarding our daily math talks that has generated many questions regarding how we engage young children in robust discussions about math each morning. There was much interest in these math prompts and many educators reached out with questions regarding how I create these prompts.

 
 
In our program we have a morning circle time. This circle is our first whole group gathering time for the day and helps set a positive atmosphere in our classroom. It is also a time to celebrate being together, and share news from our homes. We often use it as an opportunity to read a story and discuss any new and exciting activities or additions to our classroom space about which the children should know in order to be successful for the day. 
 
When I first started teaching kindergarten many years ago it was expected that the morning circle would begin with 'calendar time' where children would put a sticky number on a large grid to depict the day and there would be an extensive discussion about the calendar (e.g., day of the week, month, year). However over the years I realized that this was a very teacher-directed task and not as meaningful a use of our time. After reading Sherry Parrish's work on number talks I was inspired to use our morning message as an anchor for math talks. Wanting to still introduce the date to students, the numerical representation of the date became the foundation for our number talks most days. Sometimes I would use other prompts depending on the events and interests emerging in our classroom. If you would like to read more about number talks in kindergarten, you can access an article I wrote for the Journal of Teaching and Learning here: Joyful Number Talks in Kindergarten
 
I enjoy participating in a professional learning community with educators on social media and often tweet or Instagram my number talk prompts. Many educators have reached out to me how I create these open ended math talks, and to ask if I would consider sharing some ideas to try. Here are some examples of number talks we have used in the classroom. Feel free to share your own ideas in the comment section or tweet/instagram me @McLennan1977. 
 

To help support educators who are interested in starting daily math talks with children, I have published a book called Calendar Math: Daily Prompts for Math Explorations with Children

To help give an idea of what this book is about, and to help educators create their own math prompts, here are the first few pages of the book!

              


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