Showing posts with label discussion. Show all posts
Showing posts with label discussion. Show all posts

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, May 21, 2022

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!

              

Saturday, May 7, 2016

The Aesthetics of Math - Mathematical Masterpieces in Kindergarten


This year our school was involved in very rich, practical, and ongoing math investigations connected to our school improvement plan. As an educator I have always been interested in math, but my involvement in the SIPSA work really ignited a fire for math learning in my program. It was incredibly fulfilling to see the children thrive mathematically in the classroom as a result of my learning and willingness to change aspects of our program. As a result, it has set me on a positive path for continuing to consider what math looks like in my classroom for the remainder of this school year and heading into the summer. I have realized as a result of my reading and writing that math in kindergarten is a lot like creating a masterpiece.

To be an artist one:

• Needs a strong foundation of knowledge and experience in order to manipulate the tools and materials

• Is well versed in their medium and can successfully convey a message to others

• Has a plan for how to proceed but isn’t afraid to take risks and try something new

• Is inspired each day and finds beauty and authenticity in the surrounding world

In kindergarten we want children to see math as a fun and engaging activity that has relevance and purpose to their lives. Like art there is a focus on exploring the process of learning and looking to the teacher and peers as co-creators in the process. Building a strong foundation using the big ideas helps children to be confident in their explorations and embrace mistakes as learning opportunities. Flexibility in time, space, and resources cultivates an environment where authentic and complex opportunities for math naturally occur. Children are inspired by the people and space around them and strive towards proficiency and understanding. All invested participants realize that math is a journey towards understanding and improvement and not a race towards a final correct outcome.

To be an artist one needs an environment that:

· Has plentiful found and natural materials that can be used in complex and multi-faceted ways (e.g., pebbles, bread tags, sticks, shells)

· Is full of inspiration and connections to the immediate world and beyond (e.g., books, experiences, people)

· Contains a variety of tools that can be used in familiar and innovative ways (e.g., ten frames, hundreds charts, dice)

· Has spaces for working in large groups, small groups, pairs, and independently

In kindergarten our environment consists as the ‘third teacher’, helping children to become inspired to engage in rich explorations and reflect upon their past experiences. As the school year progresses the environment is built together with the children. Each day as new experiences and ideas are shared these are added to the learning centres and walls in the form of tools, resources, and documentation. The room evolves to help tell the story of the children’s time together and also to support and extend the math learning that is continuously occurring.

When one is an artist, one speaks in many different languages. Ideas can ebb and flow and inspire other ways of looking at the world. In kindergarten math is everywhere – instead of existing in isolation children are encouraged to integrate their learning. Our integrated environment provides opportunities for children to discover, explore and represent in many ways. This way of looking at the world provides a natural way to differentiate for children. Math can happen anywhere – art, loose parts, outdoors, in the hallways, drama, gym - and beyond.

Art is sometimes spontaneous, and sometimes planned. In an emergent kindergarten program educators follow the children’s lead and support and scaffold experiences based on the children’s interests, strengths and needs. However this doesn’t mean that educators can't include long term goals in planning and focus on the big ideas. There is also opportunity for the traditional three part lesson structure to exist in this type of fluid learning environment. I believe this is important for outsiders to kindergarten to understand. Many don’t realize the intricacy of play-based learning and assume what is done in the classroom is solely based on the interests of the children. This is not true - pedagogy and practice are a dance where sometimes the teacher leads and other times the teacher follows. This provides an interesting task in adaptation when something like the three part lesson is put into practice. Flexibility, creativity, and a willingness to evolve are a necessity.

Getting Started: In our classroom we have a large gathering time called ‘opening circle’. During this circle a ‘morning message’ is read to the children. During this message important information or concepts are discussed with the children. This gets their ‘minds-on’ in the sense that they are being introduced or reminded of important terms and concepts. Captivating read alouds can be used to help introduce or reinforce an idea.

Working on it: This looks many different ways in our kindergarten classroom. Sometimes we work on activities in pairs or small groups at the carpet during the next circle. Other times these guided activities (that relate to the topic introduced during the morning message) are placed at a table top centre for the children to experience during playtime. An educator (myself or the early childhood educator in our room) will guide children. We know the kids well so we are able to differentiate the activity and scaffold or challenge based on their needs. We also have a variety of math manipulatives around our room and encourage the children to engage in playful, authentic, and relevant math experiences throughout the play block and not just at a designated 'math centre'.

Consolidation and practice: After playtime we invite children to consolidate their experiences and learning and reflect with each other at our whole group time. Children can volunteer to share something from playtime or the teacher/ECE can share something. This is usually where I would bring some of the playtime math experiences that related to the original topic in the morning message back to the group so we could reflect upon something that was done and then perhaps engage in a next step (or more challenging) version of the activity based on the readiness of the children. This might inspire the children to think about a topic more deeply or in a different way and then this would guide where I next proceeded in terms of math the following day.

Consider each of these has left me with a desire to learn more - how can I encourage a confidence and interest towards math in the children in my care? How can I continue to become a better model of math for both my students and in role as a parent to my children at home? What can I do to promote problem solving and a connection to the big ideas in math throughout all facets of my program and not just in isolation during math activities? It’s exciting to think of what these ideas might spark - especially fitting as the school year winds down and I already dream about next year's possibilities!
Related Posts Plugin for WordPress, Blogger...