Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Monday, June 30, 2025

Saturday, April 26, 2025

Code a City!

A favourite small world play activity that the children enjoy is our 'Code a City' challenge. This math invitation requires just a few materials - a city template, blocks, dice, and mini vehicles. The 'Skyscrapers' book is a perfect nonfiction resource to supplement the learning.

Children select a template. They can use one or multiple dice depending on their ability. Roll and add the pips on the dice together. 
Write the corresponding number in a space on the template.
Build a tower with that many blocks.
When your city is complete add mini vehicles for some small world play!

Sunday, April 20, 2025

Bringing Math to Life: Sparking Joy and Curiosity through Play

On April 16, 2025 I had the pleasure of presenting my workshop Bringing Math to Life: Sparking Joy and Curiosity through Play for Early Childhood Investigation Webinars! With over 3000 registrants it was my largest audience to date! I absolutely love inviting educators into my kindergarten classroom and sharing the rich math learning that children experience through play and inquiry! Connecting with others drives my practice and inspires me greatly! A big thank you to all who attended! A copy of the presentation slides are available and can be found at this link.

The presentation was recorded and is available for viewing if you are interested in revisiting the information I shared, or did not have a chance to view it live. You can access it here:


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, March 30, 2025

Geometric Chalk Art in the Outdoor Classroom

Have masking tape and sidewalk chalk? Then you can invite children to create amazing geometric artwork outdoors in just a few steps! 

Create the outline of the art by placing tape on the ground in different designs. I personally like creating a large square or rectangle and then using various shapes to fill the area inside. 

Invite children to colour each section using a different colour of chalk. 

Remove the tape to reveal the gorgeous design!
Experiment with different designs...

...and encourage children to to use the art when inventing and playing their own games!

Overcome the Math Blahs to Reinvigorate Joyful Math Play and Learning

Looking for some professional development to help you refresh your math program using play and exploration? My next workshop is just for you! Join me with Early Childhood Investigation Webinars on April 16 at 2 pm Eastern Time. 


 Workshop description:

Do you feel less confident or enthusiastic about incorporating math experiences into your early childhood program? If so, you’re not alone! Many early educators feel more comfortable teaching language and literacy than math. This hesitation may stem from your own experiences as a young learner.

If you’re looking for inspiration to bring joyful math moments into children’s play and make this learning visible to families, this webinar is for you! Young children are curious about Math-related concepts and Math connects to every aspect of a developmentally appropriate practice in early learning. In this idea-filled session presented by experienced educator, researcher, and writer Deanna Pecaski McLennan, we’ll reimagine what math looks like in early childhood. You will explore ways to reinvigorate your practice with hands-on, integrated activities that excite and engage young learners based on Deanna’s real-life examples from her kindergarten classroom.

Discover how to create invitations for young children to explore math through art, literacy, and outdoor play. We’ll focus on designing learning spaces where children see themselves as mathematical thinkers, valuing their ideas in meaningful and authentic ways. Drawing from her extensive experience and her books, Deanna will inspire you to approach math with curiosity, take risks, experiment with new strategies, observe deeply, and collaborate with children as co-learners. Let’s transform the way we think about early math together!

In this workshop you will:

  • reflect upon your definition of math and where it can be found in the early childhood classroom
  • explore stories, vignettes, and photos illustrating how educators can develop learning environments that foster curiosity and wonder in mathematics
  • gather practical and easy to implement suggestions for how to invite children to engage in mathematical play throughout the day
  • learn ways to document children’s experiences to make math learning visible to families and the greater community

Wednesday, February 5, 2025

Building a Curious and Playful Early Childhood Math Community

Toni Cameron and Deanna McLennan in conversation with Stenhouse’s Kassia Omohundro Wedekind about creating a supportive, curious, and playful environment for mathematics in early childhood classrooms, the importance of stepping back to listen, and (of course!) what this all looks like these days.

Friday, January 17, 2025

Fairy Tale Inspired STEAM Invitations in the Kindergarten Classroom

"I can help the goats escape that silly, old troll. All I need to do is just make a bridge that is so low to the water there is no room for the troll to hide below. That's the problem with the one in the story. There was enough room for the troll to hide. My bridge won't do that."

 

Young children are naturally curious about the world around them as they marvel and wonder about what they experience in their daily lives. According to Let's Talk Science this means that every moment has the potential for learning because children desire a deeper understanding of the world around them. STEAM learning in the early years is especially important because it helps prepare children with skills and knowledge for an unknown future. Let's Talk Science explains that STEAM activities can:

  • Foster natural curiosity and creativity 
  • Encourage independent and collaborative learning 
  • Improve work habits and grades 
  • Promote confidence in learning and ‘science identity’ 
  • Promote language learning 
  • Improve social-emotional skills 
  • Build decision-making, problem-solving and critical thinking skills 
  • Support inclusion and reduces gender disparity

In our classroom I have found that children are usually very motivated to help solve problems that appear in books we have read aloud and explored together as a class. In particular fairy tales that have likeable characters that need help evading a villain seem to elicit the most excitement and enthusiasm from kids. Sometimes STEAM invitations that are inspired by fairy tales naturally occur as a result of the children reading and discussing the text together in large or small groups. Other times I will invite children to engage in helping solve a problem by asking a question in our whole group meetings and inviting their ideas, or setting up an invitation for learning based upon the text.

One of the most popular invitations was based on the story of the Three Billy Goats Gruff. After reading the book I asked children to think about whether they could help the goats by building them a new bridge. On a table I created a quick playscape replicating the river by using green place mats for grass and blue paper for water. I offered baskets of different wooden loose parts for them to explore. I also added three toy goats and a troll that could be used as character props to help inspire children to retell the story after building the bridge.

    

During play time children worked collaboratively to build a number of interesting bridges. It was fascinating to discuss the attributes of each, and listen to the children's rationale for how the goats could evade the troll by using the bridge's features (e.g., close to the water, troll traps, fencing). 

      

  

  

Looking for some STEAM inspired invitations for other fairy tales? Here are some easy ideas to get you started:

The Gingerbread Man:

  • build the Gingerbread Man a boat to use when crossing the river to avoid the fox
  • design a fox-proof water suit the Gingerbread Man can wear when swimming across the river
  • create a trap the bakers and animals can use to trick and capture the Gingerbread Man

Goldilocks and the Three Bears:

  • build Baby Bear a new chair that will not break no matter how much weight is placed upon it
  • design and draw a security system that will alert the three bears next time someone enters their house
  • sketch a disguise for Goldilocks so the three bears will not recognize her

The Three Little Pigs:

  • draw three new wolf-proof houses for the Little Pigs
  • build a wind machine for the wolf that will work on a brick house
  • build the setting of the story using various materials (e.g., wooden sticks, tape, play dough) that can be used to retell the story when toy pigs are added

Little Red Riding Hood:

  • design an invisibility cloak for Little Red
  • build a strong basket for Little Red that can hold many small objects without breaking (e.g., pennies, cubes, marbles)
  • create a transportation system to move the basket of food from Little Red's to Grandmother's house

Jack and the Beanstalk: 

  • build a beanstalk using tubes and card stock as tall as you can without it collapsing
  • design, create and test a parachute that Jack can use to escape from the castle in the sky
  • create a structure that the hen's golden egg can be dropped into that will keep it safe

Monday, January 13, 2025

Goodreads!

Like many educators I am a avid reader who devours historical fiction. This is nothing like a good book that pulls you in and helps you forget the cold, snowy January weather of Ontario. While researching my next read I stumbled upon the Goodreads website. Where has this been my whole life? I was fascinated to quickly and easily find many titles to add to my reading list. I was also deeply surprised to find many of the books I have authored on the site - not just their titles but ratings too! This inspired me to create an author page in order to help me connect with readers in a new and fresh way. If you are on Goodreads come find me! Even better I would love a review of my books if you have read or purchased them. Come ask me a question or suggest your favourite book to read! I'm excited to connect with you in a new way!

Deanna's Goodreads Page

Friday, December 13, 2024

Printable Subitizing Cards

We use these subitizing cards for many games in our classroom. This past week we invited children to play a 'roll and record' game. Using one die or two dice, children would roll, subitize or add, and cover that number on their card using a holiday trinket. Click on the image of the card to download your own copy of the four subitizing cards!

Sunday, November 10, 2024

Facilitating Math Talks with Young Children - Printables to Support the Math Talk Books

Math talks are a great way to engage children in open-ended explorations that invite them to think critically and creatively about a concept. Math talks are like number talks, yet include any area of math that an educator would like children to explore. 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. 

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
 

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 inspired my collection of monthly math talk books. Each book contain 25 prompts to engage children in regular conversations in the classroom. The prompts do not need to be followed in order. In order to help educators I have also created free downloadable PDFs that can be printed and used with students. 

 

Click on the book's image to be linked to where it can be purchased. 

 

Click on the printable to be linked to where it can be printed.

Printables that can be used to support this book:

 



Printables that can be used to support this book:

      
       
 

Printables that can be used to support this book:
 
  
  

Tuesday, August 20, 2024

Cultivating a Mathematically Rich Learning Space

It's almost Labour Day! This time of year always fills me with hope. Although it's sometimes sad to be leaving the fun and comforts of summer - spending time with my children, sleeping in, enjoying the back yard with my pup - it's exciting to think of the possibilities of another school year. Like a blank canvas waiting to be painted our classroom evolves and changes over time as the children and I learn and explore together. 

As we head back into the school year many educators are working thoughtfully to create environments that are rich with math possibility. In Reggio Emilia the environment exists as the 'third teacher' inspiring, supporting, and extending children's learning in rich and complex ways. I have been contacted by many educators asking for advice on how to best set up their classroom and routines in order to create as many opportunities for authentic math as possible. This has inspired today's blog post - how to cultivate a math rich learning space for children at the beginning of another school year.

I thought it would be easiest to create this as a 'math check list' with points to read and consider. When I reflect upon my own math pedagogy and practice, these are what I think stand out as mathematically meaningful for the educators, children and families that share our space. Although this check list isn't all inclusive, I thought it might spark some ideas to support and inspire as we enjoy the final weeks of summer and return soon to our classrooms with open eyes, minds and hearts.

1. Make math a part of every space in the classroom and child's school world. In the classroom are there math tools and materials available for use beyond a 'math center or math shelf'? Do children see how math relates to every subject in the space (e.g., how materials are sorted and stored on the toy shelf, how measurement is used when children decide on a size of paper to use for their project)? Can they translate math tools and ideas into other spaces in their immediate school world (e.g., see how math relates to their walks in the hallway or work in the gym)?

2. Ground and build math concepts into known objects for children. When introducing, extending or innovating a math idea is it organic and natural to the child's explorations and world? For example, it is more natural to engage children in an exploration of measurement if they measure things in their immediate world using the stick they are playing with, instead of using a standardized ruler (e.g., "Can you find something the same length as your stick in the yard?", "What is taller than your body?").

3. Use available math moments with children. In our classroom we have a large block of uninterrupted play each day. It's sometimes challenging to manage children, materials and activities during center time. However I try to engage with children as much as possible in the activities, and take on the role of 'play partner' together with them. When I am actively playing I am able to closely observe what they are saying and doing, helping me to identify and extend the rich math learning that is organically occurring (e.g., helping children to recognize why their tower keeps falling, using math terms when they equally share the play dough, introducing math ideas as they discuss how many cars are in their parking lot).

4. Become a math role-model for children, families, and colleagues. Even if math isn't your favourite subject, how do you discuss it within your school and classroom? Are you excited by new activities and resources? Do you demonstrate a growth mindset? When mathematical situations arise with children that you aren't sure of, can you use these opportunities to showcase positive thinking and problem-solving? Share your new math learning with others - suggest articles and books you're reading and post these throughout your classroom to enhance documentation displays. 

5. Find the math in everything. Many educators plan forward by choosing curriculum and programming expectations and then building activities to fulfill these. Try back-mapping activities from time to time; embrace child-centered, organic experiences and then deconstruct them in order to identify the rich math concepts and curriculum expectations that they utilize. You'll be surprised to find that math happens in almost every experience children have in the classroom.

6. Try looking at life through a mathematical lens. When planning invitations for learning in your classroom see what math you can sneak in as well. Changing one or two elements of the experience might be enough to engage children in rich math. It reminds me of how I used to sneak veggies into my children's meals - a little can go a long way!


7. Collaborate mathematically with colleagues. Share new ideas and resources informally. It's easy and effective to create math invitations and activities and share these within your school or division. If every educator plans one or two activities and these are shared, children will benefit from many rich and interesting games and activities without the burden of planning and preparation it would take one educator to accomplish the same.

8. Record and celebrate your math moments. Help children, families, and colleagues recognize that math happens everywhere in the classroom by creating a documentation display with photos, anecdotal observations and connections to curriculum. This bulletin board can be built over the course of the school year as artifacts of learning are continually added by staff and students. Keep sticky notes nearby and invite observers to record their own ideas and share them by posting the notes within the documentation.

9. Engage families in joyful math with children outside of school. Consider ways that you can promote and extend math for children after school. Encouraging families to play math games and activities together with their children will not only provide children with additional meaningful math moments, but it may help older family members reconcile their fear or dislike of math.

10. Build your collection of math stories, songs and games. Children love to sing, dance and play games. Ask colleagues to share their favourite games and activities, and use these to help with transitions and other 'math moments' throughout the day. Quite often the words in songs can easily be improvised to match something happening in your classroom, and many rich storybooks have mathematical elements and problems embedded within them that can inspire children.

These are just a few of the ways in which I cultivate a rich math space with children. I'd love to hear from you! Share your math ideas in the comments below, and consider following my Instagram @McLennan1977 for regular ideas from my classroom!

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