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!

Book Review

"Exploring trees outdoors is an enjoyable experience that children love to do! Swinging from a branch, exploring leaves and bark, and observing gnarled roots are all favourite activities that also integrate rich learning. Heading outside to explore the yard uses children's excitement and enthusiasm for sensory and nature experiences to inspire rich mathematical and scientific inquiries about what they are seeing and experiencing."

 

I was excited to see a review of my book Tree Math in the MAMT Spring Journal! You can access the review here!

Quick and Easy Resources for Littles to Help Explain and Explore the Solar Eclipse!

The solar eclipse of 2024 is an exciting event for children! Here are some resources I quickly put together to help educators and families explore the eclipse and use it to inspire a few activities!

Here is a great picture book to help explain what an eclipse is:

Here is a video that delves into the science behind the eclipse:

Here's a neat time lapsed video of an eclipse:

And here are three quick and easy math resources to use that capture children's excitement about the entire experience!

1. Roll, Subitize and Cover the Suns!

2. Which One Doesn't Belong?

3. See, Think and Wonder

20 Free Alphabet Activities to Use with Children

I have spent time reviewing many of the resources and materials I have created over the years. Over the next few weeks I would like to share some on this blog.

Learning the names and sounds of upper- and lower-case alphabet letters take time, patience and practice.

Many families are eager for 'take home' activities to help their children practice literacy skills at home. Educators are also looking for easy to gather and implement small group work for children to use at school. In this file I have shared 20 alphabet activities that can be printed and shared with families or used with children during the day. Print all, or take what you think will be a best fit for your little ones!

You can access the file here: 20 Instant Alphabet Activities

Five Free Printables to Use with Tree Math

 "Trees are poems that the earth writes upon the sky."

-Khalil Gibran

During outdoor play children are drawn to the trees in the school yard. They love to feel bark with their hands and wrap their arms around the trunk. They collect artifacts for exploration including sticks and leaves and search for insects in the bark's crevices. Trees offer so many rich opportunities for wonder and discovery as children notice how they change with the weather and seasons.

To help supplement my book Tree Math (available from Amazon and Indigo) here are five easy, free printables that can be used to support children's work in nature!

1. My Favourite Tree

Encourage children to spend time in nature and observe the tree they like best. Ask them to consider what it is they appreciate about this tree? Children can then sketch the tree on this page and compare their tree with others.

2. My Tree and the Four Seasons

Over time children can observe the same tree and draw what they notice changing during the four seasons. This page can be kept over time and added to as the months change. Children can also draw on it at one sitting and hypothesize what the tree might look like in each season, especially after conducting research about how trees adapt to the weather.

3. Tree Circumference

Children can use a variety of materials to measure how big around a tree's trunk is (e.g., measuring tape, hand spans, links) and record it on this tracking page. Drawing a picture can help explain their math thinking.

4. Tree Bark Patterns

Exploring the texture of bark appeals to many children who enjoy sensory experiences. Children can use magnifying glasses to examine the patterns in bark up close, or place a paper on top of the bark and use crayons to create a rubbing. Children can then describe what they see and compare their rubbings to others. 

5. A Tree is a Home

Encourage children to explore many trees in the school yard and neighbourhood. Ask children to observe what living things they observe on and in the trees (e.g., birds, insects, mould) and record their observations on the tracking paper. They can hypothesize how the tree might be a home for many living things at the same time.

Easy St. Patrick's Day Math Ideas

St. Patrick's Day is a fun holiday that helps jump start the spring season! Here are a few easy to plan math activities for children!

1. Shamrock Subitizing- Write different numerals in the center of each shamrock and encourage children to place dominoes with the corresponding number of pips in each leaf.

 

2. Estimation/Counting Jars - Fill jars with a variety of different seasonal loose parts. Encourage children to estimate how many objects are in each jar. They can then use a variety of math tools (e.g., number grid, ten frame, hundreds chart) to count the total objects. These can then be recorded on a paper for comparison.

3. Rainbow Numbers - Provide children with a variety of numbers and encourage them to explore these in different ways (e.g., sorting by colour, ordering, create number combinations).

4. Colour and Coin Sorting - Recycled marker caps can become 'pieces' of the rainbow. Add fun play coins and seasonal pots to the tray and encourage children to sort, count, and pattern with the loose parts.

5. Roll and Record - Here is a fun template that can be used by children to support many math explorations! Children can roll and subitize a die and colour in the corresponding number of shamrocks. Two children can each roll and colour in shamrocks using their own colour and try to get 4 in a row. Children can colour the shamrocks in using different colours to create patterns. The possibilities for this template are endless!

Get the free printable here: Shamrock Printable

 

6. Which One Doesn't Belong? -  Show children pictures of different shamrocks and ask them to articulate which picture does not belong. 

Get the free printable here: WODB Shamrocks

7. Gold Coin Count - Add dice, coins, number lines and writing materials to this game board and encourage children to create and play their own treasure games!

Get the free printable here: Gold Coin Count

8. Find the Gold Coding - Draw the path needed to get from home to the pot of gold! Use arrows to display direction of movement.

Get the free printable here: Gold Coding Mat 

 

 

 

Alphabet Mats for Letter Recognition

Recently we have been working with different fonts to help children recognize that the same letter can look many ways. These letter templates are easy to use in matching games. Get a copy here!

Alphabet Mats 

Holiday Sweaters

A fun activity this time of year is to decorate ugly holiday sweaters with a variety of loose parts! This activity promotes math as children create patterns on the sweaters. An interesting discussion of the differences between area and perimeter usually emerges as children use strings of beads to outline the sweater while filling it in with seasonal trinkets.

           

Click here for a copy of the free printable sweater page.
 

 

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! 

 

 

Virtual Bird Count

“There is an unreasonable joy to be had from the observation of small birds going about their bright, oblivious business.”
 Grant Hutchison

 

Colder weather and light snow this week have inspired new observations during outdoor play and exploration. The children have noticed birds hiding in the trees. It's been fun to watch them flit from branch to branch, observe their tracks in the snow and identify their different calls. I hoped to continue with these observations indoors. I introduced Cornell's live bird cam and invited children to spend time observing the animals that visited the different feeders. The children were enthralled with the quick, happy little birds as they flew in and out of the frame and gobbled up the seed.

The next day I asked children to predict which birds they thought might be at the feeders. We spent time drawing our guesses on a graphic organizer. I wanted to capitalize on the children's interest in the birds and integrate math and literacy into the experience. I also displayed posters from our library that had illustrations of common North American birds to be used as reference.

As the children observed the feeders they tracked what they saw on their charts. After ten minutes of watching we calculated and shared our results. Blue jays appeared the most!

This is an easy to implement activity that brings the outdoors inside! Click here for a free printable Bird Count tracking sheet children can use to record birds.