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

Sunday, January 8, 2017

Maximizing Small Groups: Time to Practice and Play

Traditionally small group learning takes place with a group of 3-5 students and an educator. Often times the small group is focused on a very specific academic based skill and takes place at a table in the classroom.

Sometimes, it is the things that "don't work" that teach you how to develop a system that "does work" in the classroom. We are constantly revising and rethinking the way that we do things in our classroom. Everyday we have discussions about how things are going and how we can make minor adjustments.



Our Small Group Observations:
  • There was never enough time. We tried to fit groups in all different times and were creative in our structures, but always found we could not reach as many students as we wanted to. We also struggled to fit in a small group for all children in both math and literacy (which was our goal).
  • Timing is tricky. Students often did not appreciate or welcome an invitation to small group while they were in the middle of play. Further to that, many students struggled to stay focused and concentrate on a planned small group during learning centres
  • Impromptu Small Groups worked well in the context of play. These small groups were not invitations, but based on something that was happening in play, something we noticed.
  • Children are drawn to experiences with other children and adults when they feel as though it is their choice to join (e.g., setting up interesting materials and spending time learning alongside them as an educator).
Making Changes:
We decided to slightly restructure our small group instruction (both the time and structure of the groups). We wanted to ensure that children had long, uninterrupted blocks of play both inside and outdoors. We wanted to ensure that we were reflecting carefully on what was happening in the small group time. And most importantly, we wanted to think creatively about the skills we were supporting, scaffolding, teaching, and reinforcing during small group experiences.


Students used the number line to support them in reading the numerals on the dice in the game Frustration. This was such a powerful example of peer teaching - another student noticed that their peer was struggling with number recognition and supported them by teaching a tool that they found helpful.


What does it look like now?
  • We now have small group learning twice a day.
  • Students are in groups of 2-5 and they are all engaged in a chosen activity or experience.
  • One educator supports a specific small group (of 3-5 students), other educator floats between other groups to provide support, ask questions, capture thinking.
  • The learning is not centred on math and literacy, but involves opportunities for art, dramatic play, construction, social/emotional development, and communication.
  • This short time can provide students with an opportunity to practice skills that will further support them in play (e.g., how to hold a pencil, how to record their name, how to take turns while playing a game).
  • These are  NOT must do jobs, these are NOT centres that the children all rotate through. We create small group experiences that make sense for the students socially, academically and developmentally.

Many of our students practice skills such as Coding during Small Group Learning Time. 


Simple Matching Games: Using cups, you can place different objects underneath to create a matching game.


OSMO is another great app that supports spatial awareness and reasoning, geometry, communication, and team work.



Development of Skills Supports Overall PLAY...
When having a conversation with a colleague, they made a really interesting connection between play and the skills that developmentally are important for children to learn.

When learning to play the piano, one can simply sit down and "play". You can try out different combinations with the keys, you may learn simple songs by experimenting, you can enjoy the music that is created.

However, in order to learn how to play the piano one needs to learn some basic skills (e.g., how to hold or position your hands, how to put notes together, how to read music etc). 

We have found that some of those beginning skills such as writing your name can be fostered in the context of play, however, when practiced for a short period of time the skill becomes automatic, more comfortable, and confidence develops. 

We have noticed that our small group learning experiences are providing the students with short, structured times to practice the things that THEY NEED. They are then bringing those new skills into the context of their play. This is the beauty of transference. It is almost magical to see these fundaments come into their play in context! 

This year, more than any other year, we have seen our students really excited for small group learning time. They are developing resilience, new skills, and stamina. They know that they won't be taken out of their play to practice these skills and perhaps that is why we have seen very little resistance and a high interest in this focused time of the day.


Puzzles are something that students have really been drawn to this year. We have increasingly invited students to try harder puzzles as the year has progressed. Our small group planning allows us to choose which students need to practice which type/difficulty of puzzle.

Incorporating sensory into small groups has been important and valuable for our students. Play dough, sand and water with tools and materials that are DIFFERENT than those used during learning centres.

Sometimes, simple is best. Some students who are just understanding and recognizing numerals worked as a team to sort a basket of numbers using playing cards and our number line.


Whiteboards and Different Writing Opportunities: We often have a small group that focuses on writing opportunities. Some students are working on just lines and curves (perhaps holding a writing tool), some are practicing their name, some enjoy drawing or writing the names of their peers.

Where does this fit into the Flow of the Day? Check out our Fall Blog Post:
http://passionatelycuriousinkindergarten.blogspot.ca/2016/10/flow-of-day-reflecting-on-yearly-changes.html



Monday, June 20, 2016

Challenging Young Learners: Games in Early Mathematics

We have moved. To read this blog and others, please visit our new website:


Developing and playing games with young children allows educators to naturally embed concepts, methods, build developing skills, and new vocabulary of mathematics into the play.


Playing, creating, and adapting games that involve mathematics has grown to be a valuable part of our practice, especially since we know that all learners need different things from us in terms of support and instruction. Some children are learning to recognize and represent numbers...while other children are decomposing or adding!

Educators are able to create, adapt, and extend simple games to meet the needs of all children. Playing alongside children or in the context of a small group also invites educators to learn about the children's growth, knowledge and understanding. We play a crucial role in the games and it is often our observation, prompting, and guidance that deepens the play.



Games provide an opportunity for children to verbalize their thinking. Educators can listen in to the language being used in dialogue and can further prompt children to verbalize their thinking behind decision making while playing. Through continued exposure and exploration, young children grow in their ability to clearly and concisely explain their thinking. In doing so, children solidify their knowledge and make their thought process understood by others.


When connecting with other educators, they often share their passion for games in mathematics as well. We find that often games are played during learning centre time and without the observation or involvement of adults. Though this type of play is valuable, there is certainly something to be said about how vital the role of an educator is!


Educators play an important role in connecting children's informal understanding of mathematics with more formal, school-based mathematics. Teachers are continuously learning and researching in order to gain a deeper understanding of the foundations of early mathematics.

Building our foundation as educators, allows us to understand the learning continuum and support children based on their needs.



“The teacher’s knowledge of mathematics and the skills that the teacher applies in the classroom have the greatest impact on students’ learning.” 
(Ontario Ministry of Education, 2006b, p. 6) 


CREATING A RESOURCE:
We are currently working on a resource that will be a collection of adaptable, simple games that involve mathematics! If you have a game that you have created, played, adapted, or LOVE please share it below in the comments! Once our resource is complete, we will do a draw for a colour copy based on all those who share an idea in the comments.

We know that connecting educators supports us in combining our knowledge for the greatest impact!

Be sure to share: materials, rules, and any other pertinent information below.

Early Learning Games that Our Students Love:









Wednesday, April 20, 2016

Co-Constructed Alphabet and Number Line: Thinking Intentionally


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Over the past year, we have been reflecting a lot on co-constructed alphabets and number lines. Cheryl and I have had rich conversations about their benefits, how they are approached, how they are used, and what their purpose is in a classroom.


All over social media, you will see absolutely stunning alphabets, number lines and representations created by and with children. I am always impressed with the beauty, passion and detail that goes into their creation.

With all that being said, our wondering lies in the purpose and intention of displaying a co-constructed alphabet in the classroom for an extended period of time.

Questions that come to mind...

What is the purpose or intention of having it displayed? 
Is it art...or is it a tool for learning? 
Is it truly art, if we are inviting children to make a specific letter?
Does it become wallpaper?
How do children engage with it?
Is it at eye level?
Is it interactive?
Does it stay up the following year?
What is students aren't interested in contributing, is it then meaningful for them?
How does it support students in understanding about letters and/or numbers?
We have talked through all of these questions and I think that they are helpful in supporting educators in reflecting on their intentions.

Conversations on Twitter and with colleagues brought up other important factors too:

Tessa Heffernan mentioned that perhaps it could be thought of as a different type of font and reflected that perhaps there are many forms of the alphabet in the classroom.

Laurel Fynes added in that it is important to reflect on what children use and look at in the classroom (beyond just the alphabet, thinking of documentation and other things on our walls - what do they return to? what do they ignore? what do they share with others/visitors/new students?)



Co-Constructed Alphabet - Gems on a Tree Stump

Are we posting something in the classroom as a tool to support student learning? If so, should the letters not be properly formed and clear/concise for the children to see?

I think about a young child who is curious and learning about letters. When looking at a co-constructed alphabet the letter may not be clear and easy to decipher for a child who does not have clear concepts of certain letters/numbers.




Contrarily, I don't know that shopping at a teacher resource store and buying a "pre-made" commercialized alphabet is the solution. Often times, these commercial alphabets are extremely overstimulating in terms of colour and images.


Our number line was created from play dough and photographed by children. They later illustrated and used water colours to create pictures to make a song that we wrote with musician Catherine Wheatley about numbers.
Slow down and reflect...

What is your intention or purpose?
Ultimately, we are always thinking about our intentions or purpose behind things that are happening in our rooms. If our intention is to support children in developing their understanding of the alphabet - is a co-constructed alphabet the more supportive way to do so?

If our intention is to provide a tool for children to use when engaging in reading or writing in play, does the co-constructed alphabet help?

Accessibility is Important:
For us, we wanted the children to have access to an alphabet and number line that was practical, helpful, and accessible.

Further to that, many classrooms have the alphabet or number line posted so high that it is not within eye sight of the children and much more challenging for them to interact with.

Students bring the number line to different areas of the classroom.

Can we do both? 
Could we invite or follow children's interests when finding or making a co-constructed alphabet, while still sharing a form that is practical and used as a tool?

We decided that instead of putting the co-created alphabet up on the wall, we would create a binder with the creations in it and share it in our book nook. Last year, students were inspired after reading City ABC to photograph representations of letters in the outdoor environment. Instead of posting, we added the photographs into a binder for children to access when interested.


Our own version of City ABC. Children photographed and
then drew red over images (similar to book). We created a binder with all captured images.

After reading Ten Birds, children created with loose parts, nature and materials outdoors.



What is up in our room now?
After deciding that we wanted children to have access to an alphabet and number line that had properly formed letters and numerals, we began to reflect on what that might look like in our classroom.

Based on the children's interactions with both lines this year, we have found that the children are engaging with them more and making stronger connections to letters/sounds/numbers in play.

NUMBER LINE:
Our number line begins at "0" and goes to "20". Below each number is a 10 frame with simple black dots. Starting at 0 helps to build the understanding for later years when children begin to engage with integers. Keeping the ten frames simple with black dots allows children to easily count or subitize (rather than images or objects which are more challenging to quickly subitize). The magnetic number line is posted above the shelves at eye level where children can take the numbers off and carry them around the room.



ALPHABET:
While we value the connection that children have to creating and being a part of the process we wondered if there was a way to ensure that it was still a valuable learning tool while inviting children to be a part of the process.


We have created letters this year and we added a small picture in one corner from the letter cards that we have in the room as a student tool. We have left space for students to add a picture that is meaningful to our classroom (e.g., a picture of flowers in our front play area on the letter "F" or a picture of a child whose name starts with that letter specifically).

Our alphabet has the capital, lower case, and sometimes another form of the letter (e.g., different ways you can write the lower case a). The letters are magnetic and children can reach them to take them on and off the whiteboard.


Photographs in the right corner are taken with and by children to represent something in the
 classroom or someone in the class that connects with the letter.



Ultimately, there is no right or wrong here. Simply another piece of the puzzle in our practice that we want to continue to think about.

_________________________________________________________________________________

Looking to create an alphabet or number chart similar to the one we used with our students?
Check out our template selection available!

https://passionatelycuriousinkindergarten.blogspot.com/p/templates.html









Thursday, August 20, 2015

Math Read Alouds: Connecting Math and Literacy


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To read this blog and more, please visit:




During our summer workshop entitled "Math in Play", we invited educators to bring some of their favourite math read alouds to share with the group. Our intention was to build a library of strong mathematical texts that could be used in classrooms. Since our first math workshop, we have continued this and are absolutely amazed at the collection of rich read alouds you will find below!

The educators explored texts in small groups and had rich conversations about the concepts, questions and extensions that would support their book.

We thought carefully about how books could be a springboard for other learning in the classroom. Read Alouds can be used as provocations, they can be re-read to explore concepts with more depths, they can be brought into small group contexts to solve problems, and they can be adapted for different developmental and academic needs.



Below we have included all of the beautiful math read alouds shared by educators in our course. If you click on the book, it will direct you to Amazon where you can read more about the text and purchase it for your classroom.

If you click on the link underneath each book, you will be directed to another page that explains the mathematical concepts, questions that can be used before, during and after the book, as well as extensions and provocations connected to the text.

Keep in mind that all ideas are just suggestions that will spark further thinking in your planning process. We wouldn't ask all of the questions provided and we would not set out 3-4 provocations based on one book. We have found that chunking our read alouds into more than a day and revisiting books with students allows for further depth and understanding in the content. Please feel free to add your ideas, extensions through comments! We hope that these texts and ideas will provide simple sparks for programming next year.



Thank you to all of the educators who contributed their ideas, books, and knowledge to creating a wonderful resource that will support mathematical thinking in FDK!

Perfect Square

Perfect Square: Concepts, Questions, and Extensions


Zero Is The Leaves On The Tree

Zero is the Leaves on the Tree: Concepts, Questions and Extensions

Just How Long Can A Long String Be?!

Just How Long Can a Long String Be?: Concepts, Questions, and Extensions


Circles of Round

Circles of Round: Concepts, Questions, and Extensions


Big Fat Hen

Big Fat Hen: Concepts, Questions, and Extensions


The Shape of Things

The Shape of Things: Concepts, Questions, and Extensions


Sizing Up Winter

Sizing Up Winter: Concepts, Questions, and Extensions


Ten for Dinner

10 for Dinner: Concepts, Questions, and Extensions


The Napping House

The Napping House: Concepts, Questions, and Extensions



Ten Pink Piglets

Ten Pink Piglets: Concepts, Questions, Extensions



Quilt Counting

Quilt Counting: Concepts, Questions, and Extensions


Balancing Act

Balancing Act: Concepts, Questions, and Extensions


Changes, Changes

Changes, Changes: Concepts, Questions, and Extensions


Super Sand Castle Saturday

Super Sand Castle Saturday: Concepts, Questions, and Extensions


One-Dog Canoe

One-Dog Canoe: Concepts, Questions, and Extensions


None the Number (The Hueys)

None the Number: Concepts, Questions, and Extensions


Piggies in the Pumpkin Patch

Piggies in the Pumpkin Patch: Concepts, Questions, and Extensions


Ten Birds

Ten Birds: Concepts, Questions, and Extensions


Zero

Zero: Concepts, Questions, and Extensions


More

More: Concepts, Questions, and Extensions


LOOK!

Look: Concepts, Questions, and Extensions


Pete The Cat And His Four Groovy Buttons

Pete the Cat: Concepts, Questions, and Extensions

Count the Monkeys

Count the Monkeys: Concepts, Questions, and Extensions

ANIMAL ANTICS

Animal Antics: Concepts, Questions, and Extensions


Tap the Magic Tree

Tap the Magic Tree: Concepts, Questions, and Extensions


Ten Black Dots

Ten Black Dots: Concepts, Questions, and Extensions


Equal Shmequal
 
Equal Shmequal: Concepts, Questions, and Extensions


Zero

Zero: Concepts, Questions, and Extensions


Ten Red Apples

Ten Red Apples: Concepts, Questions, and Extensions



Pool

Pool: Concepts, Questions, and Extensions


Windblown

Windblown: Concepts, Questions, and Extensions

Math-terpieces

Math-terpieces: Concepts, Questions, and Extensions


Perfect Square

Perfect Square: Concepts, Questions, and Extensions

Pete the Cat and His Four Groovy Buttons

Pete the Cat: Concepts, Questions, and Extensions



More

More: Concepts, Questions, and Extensions

Just How Long Can A Long String Be?!

Just How Long Can a String Be: Concepts, Questions, and Extensions

Little Quack's Hide and Seek

Little Quack's Hide and Seek: Concepts, Questions, and Extensions

Cloudy With a Chance of Meatballs

Cloudy with a Chance of Meatballs: Concepts, Questions, and Extensions

Love You When...

Love You When: Concepts, Questions, and Extensions


Harriet's Halloween Candy (Revised Edition) (Nancy Carlson Picture Books)

Harriet's Halloween Candy: Concepts, Questions, and Extensions

Shape Shift

Shape Shift: Concepts, Questions, and Extensions

Stuck

Stuck: Concepts, Questions, and Extensions

Actual Size

Actual Size: Concepts, Questions, and Extensions


Scribble

Scribble: Concepts, Questions, and Extensions


The Doorbell Rang

The Doorbell Rang: Concepts, Questions, and Extensions



At the conference there were many other rich read alouds that we wanted to include, but did not do complete write ups on. Below are some of the books and the concepts that could be explored further:

City by Numbers

Concepts: Number Sense, Numbers in the Environment


Fish Eyes: A Book You Can Count On

Concepts: Quantity, Number Sense, Counting


The Greedy Triangle

Concepts: Geometry, composing/decomposing shapes

Along A Long Road

Concepts: Measurement, Positional Language


Two

Concepts: Number Sense, Number Two


Ten Little Pirates

Concept: Number Sense, Counting, 1:1 Correspondence, Adding/Subtracting

Mr. Koala's Steam Train

Concept: Spatial Awareness, Shapes/Geometry


Dogs Don't Wear Sneakers

Concepts: Probability (possible/impossible)


Mouse Count

Concepts: Number Sense, 1:1 Correspondence

 Caps for Sale: A Tale of a Peddler, Some Monkeys and Their Monkey Business

Concepts: Patterning, 1:1 Correspondence, Sorting, Quantity (more/less/same)

Shapes That Roll

Concepts: Geometry, Properties of 2D shapes and 3D figures


Circle, Square, Moose

Concepts: 2D shapes in the environment



Concepts: graphing, more/less, quantity