A week in the life…

A few weeks ago I was leading a workshop and one of the participants asked what a “normal day” is like for me. Although the easy answer is – there is never a normal day – the truth is, at this point of the year, we have settled into somewhat of a routine. However, just sharing one day wouldn’t make sense, because so much of what we do is part of a bigger system or routine. So I’ve instead decided to share what a “normal week” is like for me.

Friday Afternoon

A huge part of supporting our students to take ownership over their learning is helping them set weekly goals. Goals that are personal, relevant and meaningful to them. We spent months and months teaching them how to set goals – focusing on how to know you need to focus on something (using data to inform goals) and also how to know you’ve achieved or accomplished what you set out to (defining success criteria).

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We started off small at the beginning of the year having students set one personal goal for the week. Then as the weeks went on and their goal setting skills improved, we began to roll in other goals.

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Always partnering the expectation of setting a new goal, with instruction and support for setting a goal of that kind. We spent a lot of time discussing how to know what you need to work on, and how different sources of data can be useful in that process.

For a personal goal it may be your screen time statistics…

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Or feedback from a three-way conference…

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For a literacy goal, it may be assessment data…

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Or something from a personal learning plan…

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For math it may be feedback from a math conference…

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Or an online assessment tool…

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For UOI it may be from a unit plan….

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Or a backwards plan…

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Now at this point of the year, students are fairly independent at analyzing different sources of data to know what they need to focus on and establishing what success might look like for them for all areas of their learning.

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As partners in their learning, we still play an important role in supporting students to set goals. Sometimes we are co-planning their goals with them. Sometimes they plan independently, then conference with us face-to-face for advice and consultation. Sometimes they plan and request digital feedback.

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Another essential element, is keeping the parents involved in this process. After students have drafted their goals and received some form of feedback from an advisor, they share their goals with their parents. Both as a way to keep parents in the loop about what their child is learning; but also as a source of feedback to help them further strengthen their goal setting.

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Monday Period 1

Each morning I start the day by previewing the schedule with students to ensure we all have a shared understanding of the day.

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Then I go through our “ads”. The ads show the array of adult-led and student-led learning opportunities and experiences for that day.

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Then we look at the “MOSCOW” for the day. Typically the “musts” are always the same – achieve your weekly goals – but the shoulds, coulds, and wants depend on what’s happening that week or something specific we are focusing on.

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Then students plan their day. Each week we push out a day plan template via Google Classroom for each student.

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We also share all the advisors’ timetables to allow any students to sign-up for one-on-one conferences, guided groups, supervision etc. with any of the available adults.

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Support for students planning their day ranges from planning with an advisor, to planning independently then getting feedback from an advisor to planning independently and seeking feedback from a peer.

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Monday Period 8

When we come back together as a community at the end of the day, we have two main focuses: analyzing and reflecting on our day plan and updating documentation of learning.

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The first thing students do is colour code their day plan. As a class, we came up with a  system that made sense for us:

Green = completely stuck to the learning I planned for myself

Yellow = Mostly stuck to the learning I planned for myself

Orange = Kind of stuck to the learning I planned for myself

Red = Totally did not stick to the learning I planned for myself

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As a community we worked very hard to build a culture of honesty, not fear, when it comes to colour-coding day plans. Students feel comfortable knowing that they can admit to the times when they got distracted or pulled off-course without fearing that they will get in trouble. This culture of honestly lets students get to know themselves better as learners, and allows us as advisors to have some powerful, open conversations with them about what got in their way of learning and what they are going to do differently in the future.

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Once students are finished colour-coding their day plans they jump into documenting the learning and curating evidence from their day. Similar to the goal setting, they are fairly independent in this process at this point in the year. But that is a result of intentional focus on helping students see the “why” behind documentation, encouraging their exploration of different “hows” and supporting their awareness of possible “what’s”.

At this point in the year, some students curate their evidence using Seesaw

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Others use Portfolios (using Google Slides)

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Some prefer to blog

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Some are quite creative – like my comic maker who uses his love of comics to capture his reflections and evidence of learning each day!

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While students are updating their documenting myself and my co-advisor have one-on-one meetings with students who benefit from additional support to reflect on their day plans or generate and analyze evidence to support their colour-coding.

Monday after school

After the students head home I sift through their colour coded day plans (which is made so easy by Google Classroom!) and make decisions about what type of support each student needs for the following morning based on how their day went.

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If a student seemed to have a difficult time carrying out their plans I might have them plan with me or another advisor so we can have long, uninterrupted conversations about their choices and what they plan to do differently. If the student had only one or two areas of difficulty then they will likely plan on their own, but pop by for a conference with an advisor where we could have a quick check in on that specific area of need. If a student had no difficulty sticking to their plan, and is on somewhat of a streak of “green days” then they are trusted to plan and seek feedback from a peer.

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After I’ve finished going through their day plans, I sift through their documentation for the day. To help myself stay organized, I have a document where I keep track of where they keep track of their evidence of learning. This allows me to easily find and browse through their documentation as another way to plan support for learning and conversations about learning for the following day.

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As I am going through their colour-coded day plans and their documentation of learning, I usually keep a list of talking points for students I am planning with or conferencing with the following day (just to help me stay organized, and maximize my time with each student).

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Tuesday

Rinse and repeat.

Wednesday Morning

Mostly rinse and repeat… but since Wednesday is the halfway point in our week, we use it as an opportunity to check in with progress on goals. At the end of the day students use a colour coding system that we created as a class to see which goals they are closest to achieving, and which goals are farthest away from completion.

Green = goal achieved; success criteria met; evidence of success complete

Yellow = goal achieved but need time for success criteria and evidence

Orange = progress made, but more time and support is needed to achieve success

Red = not progress made YET

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This routine gives them really strong data for making informed choices the following day about what areas of their learning need the most time, support and additional strategies.

Thursday

Mostly rinse and repeat… but during our planning meeting and conferences in the morning we use the colour-coded goal data to drive our conversations about the students’ day plans.

“I noticed your UOI goal is red, but you haven’t given any time to it today. Can you tell me about that?”

“I see that your math goal is green, but you’ve scheduled a block for math today. What was your thinking behind that decision?”

“I noticed your literacy goal is orange. What time, support and strategies do you need to get it to green by the end of the week?”

Friday period 1

Mostly rinse and repeat… but the focus during period 1 is on evidence and documentation, thus slightly changing the “musts” to really highlight that focus.

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Friday afternoon

Before students set new goals, we always build in time to reflect and analyze their goals from the current week. Students re-colour code their goals, based on the action they’ve taken since Wednesday and use that new data to decide which goals need to be carried over into the next week and in which areas of learning they are ready for a new goal.

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Then we repeat the goal setting procedure I explained at the beginning of this post.

Friday After school

Similar to the other days of the week, I spend my time after school browsing through their stuff to help me figure out how to move forward. I scroll through their finalized goal colour-coding, their day plans, and their documentation to make informed choices about what level of support might be best for each individual child the following week.

I also take this time to not only focus on the needs of specific students, but also trends that point to larger areas of need for groups of children and sometimes, the whole class. This could be anything from screen time, support with goal setting, taking math learning deeper, stronger documentation, choosing learning locations etc.

If I notice a larger need, I block out my time table to address those areas of need the following week with the specific groups of students struggling in that specific area.

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Monday Morning 

The whole thing starts all over again!!!!!

TWO MASSIVE DISCLAIMERS:

1. This blog post is a snapshot of what a ‘week in the life’ looks like for me right now. But it is such an organic, iterative, ever-evolving process, that this is not what a week would have looked like a month back, and will definitely not be what a week looks like one month hence. As a team, we are constantly reflecting, tweaking, analyzing, taking new risks, letting go of old risks.

(As an example of that, this is a current brainstorm from a recent team meeting of what we feel is currently “working” and “not working” at the moment.)

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2. This is what makes sense for me – based on my philosophies, my comfort level, my context, my constraints, my resources, my students and my team. So, as much as I am happy to share what I’m doing, it’s also important for me to urge you to figure out what makes sense for you– based on your philosophy, your comfort level, your context, your constraints, your resources, your students and your team. As tempting as it may be to transplant, my best advice is to grow your own innovation. 

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I’m still very much at the beginning of my journey. Constantly reflecting on my own why, rebuilding my repertoire of how’s and experimenting with many different what’s. This post is simply a snapshot of what a ‘week in the life’ is like for me right now. I have no idea what my “normal” will be in the future…

But I hope it continues to get me closer and closer to my goal of respecting and supporting student agency.

What is a “week in the life” like for you?

What are the nuts and bolts of attempting to support your students’ agency?

What are the routines, structures and systems that help you make the best use of time, people and resources your students have?

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Trying to break the “homeroom” mould

Last year we tried many things to help get us and the students to break away from the traditional notion of a homeroom.

  • We encouraged free flow and fluidity between spaces.
  • Teachers and students offered workshops open to anyone in the grade level.
  • Students collaborated with whomever they liked, regardless of whether they were in “their class” or not

But despite our best intentions and efforts, more often that not it was still “my room”, “my teacher”, “my class” (for both us and the students)

So this year we have to decided to keep trying to break that stubborn mould – which as we discovered – is a deeply entrenched concept in the collective current understanding of what school is.

Here are a few things we’ve decided to try this year to hopefully move further away from the mindset of the homeroom:

1. We’re not assigning rooms to teachers. Instead of having Miss Taryn’s room, Mr. Pug’s room, Miss Amanda’s room – where a specific set of students and teachers lay claim – we’ve decide to have all spaces shared and co-owned. It’s been a hard habit to change our language of “my room”, “your room”, but in trying to do so it has made us all more mindful of both the language we use and our own deep rooted habits of thinking and being. We’ve taken to referring to the rooms simply by numbers, but were hoping when students arrive they think of some more creative and purposeful room names!

2. We’re meeting as a grade level first. On the first day of school, after we collect our specifically assigned students from the basketball court, we’ve decided to meet altogether, as a grade level, in our town hall meeting space. We’re hoping that meeting together in a shared space first will help them identify with the larger community and space, instead of reinforcing that idea of “my room” if we take them into a specific, smaller, classroom-like space. From there we will breakout into smaller groups, but we’re planning on purposefully and arbitrarily picking a room and using general language, like “let’s go meet in that room”.

3. We’re purposefully rotating where we meet with students. Building on the ideas above, we’ve also decided to rotate the spaces we use whenever we pull the students into smaller groups. Again hoping to help all students see all spaces as available to them for the betterment of their learning.

4. Students can choose where to keep their things. This was a big discussion as a team. We wanted students to have a consistent homebase – somewhere to put their backpacks, lunch bags, swim clothes each day – but we were also aware that that typically means a cubby section in an assigned classroom. So we’ve decided to make all cubbies available to all students, but have students choose one cubby to make their “home base” for the rest of the year.

5. We’re having one Google Classroom. Another structure that kept us in the mindset of homerooms last year was having separate Google Classrooms. This year we’ve decided to have one centralized Google Classroom where all teachers and all students can connect and collaborate with one another.

6. Students will decide how best to use and set up the variety of learning spaces we have. Our biggest risk – and hopefully biggest crack to the mould of homeroom mentality- is having students set up their learning spaces. But instead of having them set up classrooms, we’ve decided to have the whole cohort take ownership over the whole grade-level area – hallways, quiet learning spaces, loud learning spaces, and regular learning spaces. To assist with this process we have “unsetup” all the spaces to create a blank canvas. We’ve emptied every shelf, bin and cupboard, stock piled every table, couch, pillow and collated all the learning supplies and resources. On the first day of school we’re going to ensure students know they are empowered and trusted to envision, create and take ownership over their learning spaces, resources and materials. After giving them a little bit of time to try, struggle, have tension, solve problems and persevere we’re planning on supporting their thinking as well as the process – having 120 students set up 9 learning spaces will be no small task!

I’m sure there are still many ways that our mindset and that of the students will be stuck within the confines of the “homeroom mould”, but hopefully these 6 steps propel us further down the path of true learning and further away from doing school.

As with any worthwhile risk, I’m feeling the perfect combination of excitement and fear. It’s either going to be amazing or a complete disaster!

The adventure begins tomorrow…

Wish us luck!

Transdisciplinary Math – An epiphany and a plan!

For the past few weeks I have been helping my teams review their math scope and sequence and decide which math is transdisciplinary and fits within a Unit of Inquiry and what math is better taught in stand-alone units. This process always seems to lead to the same conclusion….

Teaching math in a transdisciplinary way is hard. 

Teachers seem to believe in the purpose and power of teaching math in a relevant and significant context and want to do it… but most seem not too sure about how to do it.

As I get ready to transition back into the classroom in the fall, this is something that has started to occupy my mind as well. How DO you do it? The last time I was a PYP teacher I can self-admit that teaching math within the context of my UOIs was not a strength of mine – in fact, I’m not sure if I did it at all. So naturally, this is an area I want to get much better at. But how? 

And then I had an idea! It hit me this weekend while I was watching BBC’s Africa series.

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Since teaching math in a transdisciplinary way was on my mind, I couldn’t help but notice that every vignette was OVERFLOWING with opportunities for math inquiries!

The average size of a giraffe’s tongue is half a meter.”

“Only one out of 1000 turtles make it to adult hood.”

One million birds migrate over the Sahara each year.”

“Each chick weighs only 20 grams.”

“The adult grows to be 5 times the size of the baby.”

“Silver ants can only survive in the sun for 1 hour.”

Every few minutes there was some piece of information about an animal or a landscape or a natural phenomenon where you needed to understand the math concept being referenced in order to fully understand what was being said. And that is when it hit me! All of the movies, books, articles, graphics etc. we use in our Units of Inquiry probably already contain opportunities for math – we just need to be looking for them and know what to do with them!

So here is my plan for next year!

Step 1- Introduce a text related to the central idea or the central concepts.

As usual, choose (or invite your students to help choose) a resources to explore the big idea in your current Unit of Inquiry. Introduce the text in an open-ended way. Allow the students to engage with the text in a natural and organic way. Read the book. Watch the movie. Listen to the song. Look at the info graphic. Allow the students to enjoy it and ask questions, make connections and offer thoughts. I’m thinking of using a back channel like Today’s Meet to allow students to communicate their thoughts, reactions and questions with their learning community while watching, listening or looking without interrupting one another. You could also provide post-its so students could record their thinking if a device is not available.

Step 2 – Revisit the text with a math focus

The next day, revisit the same text, but this time let students know that they will be looking at the text as mathematicians. Re-read the book. Re-watch the movie. Re-listen to the song. Re-look at the infographic. But this time, stop and pay specific attention to the “math moments”. If the video says “Giraffes’ tongues are half a meter long” pause the video and ask students, “What does that mean?” “How long is that?” “How can we find out?” “How can we show it?”. Any time a number, a measurement, a statistic, a pattern, or a concept is mentioned stop, point it out and explore it.

Step 3 – Follow where it takes you

When you stop to explore the math within a UOI text, be prepared to follow the inquiry. If it takes 10 minutes great. If it reveals other math concepts, skills and vocabulary that need to be explored first, back up and inquire into those. If your students need to bust out some manipulatives, look online, consult other mathematicians – do it! Allow what ever time is needed to explore and truly understand what the math means in that context.

Step 4 – Don’t stop at math! 

After the initial open-ended viewing and the math-specific viewing… keep going! You could apply the same strategy for many different purposes. Explore the same text a third time with a writer’s lens and hone in on the techniques the writer used. Explore the same text with a musician’s perspective and focus on how different segments of music contribute to the message. Explore the same text from an artist’s point of view to analyze colour, line and shape that was used. This would be a great opportunity to connect with single-subject teachers and share some of the texts with them to be looked at and deconstructed multiple times, in multiple ways, through multiple disciplinary-perspectives. Your whole week could be deconstructing one text in different ways for different purposes!

Eventually, I believe you will be able to get to the stage where instead of telling students “here is the math” when exploring a UOI text, you will be able to ask them “where is the math?”.  I also have the sneaking suspicion that if you allow students to document their thinking during the initial, unstructured exploration of the text there will be some math-related questions that are recorded about the quantities, measurements and statistics that are referenced. So you wouldn’t even need to point out the math, you could allow students’ own questions to be the driving force of the math inquiry.

So I challenge you… go back and look at some of your UOI books, videos, graphics etc and notice the opportunities for “math moments” and more!

How do you explore your UOIs through the discipline of math?

What are your best approaches to inquiring into math within the context of a UOI?

Inquiry Based Math Strategies

During our half day of Personalized Professional Learning, I hosted a workshop on inquiry-based math strategies, but not everyone who wanted to attend could attend… so I thought I’d recap the workshop here for those of you who could not make it – and for those of you at different schools who might be interested in this topic as well.

The structure of the workshop was very hands on, so in the absence of you being able to actually engage with the materials and manipulatives, I will provide a combination of notes, photos, questions and reflections that will hopefully allow you to engage in some of the same ideas, just in a different way.

Tuning in – What do already know?

Think about or jot down your current understanding of each of the inquiry-based math strategies listed below:

  • math time capsule
  • open ended centers
  • magic question
  • open-ended questions
  • number talks
  • math congress
  • visible thinking routines
  • inquiry cycle

If you have a thorough understanding of each of these strategies, you probably do not need to read on. If you think your current understanding has room to grow, read on!

Open-Ended Centers

I’ve already written a post about open-ended math centers and how they work in our early years classrooms. During the workshop today, each group had a bin with the three essential ingredients of an open-ended math center: manipulatives, writing utensils, and a placemat/whiteboard.

Here are some pictures of how teachers tested out a few open-ended math centers:

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The Magic Question

I’ve also written about my favourite inquiry questionWhat do you notice? In the workshop we looked at how this question can be used for math specifically.

Take a look at this multiplication chart. What do YOU notice?

Open-Ended Questions

Answer this question: Compare the following fractions using < > or =

1/4   ____  1/2

Now answer this question:

What is the same as a half?

Reflect on the difference between answering the first and second question. What are the benefits of asking open-questions in math?

Number Talk

Take a look at the following image. How many dots are there?

How did YOU figure it out? Here is a picture of all the different ways the participants of the workshop figured it out.

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Math Congress

Step 1 – Present the problem: A sports store has a number of bicycles and tricycles. There are 60 wheels in total. How many of each kind of bike could there be?

Step 2 – Work towards solving the problem. Markers and chart paper work best!

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Step 3 – Share discoveries and strategies with fellow mathematicians. Make sure fellow mathematicians are invited to ask questions, make connections, comments and conjectures!

Visible Thinking Routines:

Use the Visible Thinking Routine “Claim, Support, Question” to share some of your thinking about decimals.

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There are also many other Visible Thinking Routines that are helpful in approaching math in an inquiry based way!

Inquiry Cycle:

Kath Murdoch’s inquiry cycle is a great way to make any math more inquiry-based.

A CCSS math standard: Know and apply the properties of integer exponents to generate equivalent numerical expressions.

What do YOU already know about this?

What do YOU need to find out about this?

How could YOU find out about this?

Math Time Capsule:

Now, think about or jot down your understanding of each of the inquiry-based math strategies listed below. A math time capsule is a great way to show growth and progress in math – whether it’s over the course of a unit, a year… or even of the course of a workshop!

  • math time capsule
  • open ended centers
  • magic question
  • open-ended questions
  • number talks
  • math congress
  • visible thinking routines
  • inquiry cycle

How did your understanding of these strategies grow and change?

In the actual workshop, after each strategy, we took some time to discuss how the strategy could be applied/adapted to different content and different age levels. Too often when we are looking at strategies we are focused on the actual strategy within to confines of the example that is used. This leads to the conclusion that “That doesn’t work for the grade/content that I teach”. Instead, I challenged the participants in the workshop – and I challenge you in the same way – to focus on the essence of each strategy and how that same approach can be used in different ways, for different ages and for different strands of math.

Here are a few examples of how the same strategy can be adapted for different content and different ages:

Math time capsules – In Grade 5 you might give students the summative task on the first day and then again on the last day to show all of the growth and progress they experienced. But in KG, you may conference with a student and voice/video record everything they know about shapes, and then record them again at the end of a unit to capture growth in their understanding.

Magic question –  In KG you might show a ten frame and ask “What do you notice?”. In Grade 2 you might show a hundreds chart and ask “What do you notice?”. In Grade 4 you might show a multiplication chart and ask “What do you notice?”.

Inquiry cycle – In Grade 1 you may use the inquiry cycle to structure a whole class inquiry into measurement. What do we know about measuring objects? What do we want to know about measuring objects? How can we find out more about measuring objects? In Grade 6 you might use the inquiry cycle to structure self-directed, personal inquiries towards calculating volume of 3-d shapes. What do I already know about finding volume of 3-D shapes? What do I still need to find out? How can go about that?

The possibilities are endless. If you focus on the “why” a strategy is effective and “how” a strategy helps foster thinking and exploration… then the “whats” become infinite! I also shared this google doc with some of my favourite inquiry-based math resources (books, blogs and Tweeters!) Feel free to have a look!

What are your favourite inquiry-based math strategies?

How Children Learn Math: Bringing it Altogether

Last year I wrote a post about what the PYP believes about how children learn math:

  1. Students construct their own meaning about math
  2. Students transfer their meaning into conventional symbols (vocabulary, notations, algorithms)
  3. Students apply their understanding to problems and real world contexts

I also shared some examples of how teachers at our school have been helping students to construct their own meaning about mathematical ideas and concepts. A lot of the teachers I work with are feeling confident about that first stage in the math cycle! However, they are still wondering how to bring all 3 of the stages together.

In an attempt to step back and see the big picture of how the stages fit together, our teaching teams generated a list of all the math strategies they use in their math programme.

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Once the list was compiled, they asked these three questions:

What strategies give students the opportunity to construct their own meaning?

What strategies help students to transfer meaning into symbols?

What strategies provide students the chance to apply their understanding?

Then, they sorted each strategy into each phase of the math cycle. (Along with some amazing debates, disagreements, discoveries and many references to the PYP Math Scope and Sequence document!) We discovered that many strategies fit multiple stages in the math cycle depending on the question you ask or how you present it. We also spent a good chunk of time discussing how many of the strategies that allow students to construct their own meaning at the beginning of a new unit or new concept, would also be good at the end of the unit to allow students to apply their understanding using conventional symbolic representations.

It is interesting to note that no two teaching team’s chart looked the same. Another point for acknowledging that all learners construct their own meaning in their own way!

Here is the chart our Grade 3 team developed:

Math Strategy Sort

Now when we are planning a stand-alone math unit, we have an anchor chart that will help us purposefully select math strategies to support students as they to move through all three stages of the math cycle.

How do you bring the three stages of how children learn math together?

Open-Ended Math Centers

At our school, we strongly believe in the benefits of inquiry, exploration and play based learning – for all of our students, but especially our youngest students in KG (kindergarten). One of the best strategies our teachers implement are open-ended math centers.

Here are a few reasons why we love open-ended math centers:

  • open-ended math centers have no start or finish, which means there are never students who are ‘done early’ and never students who need to ‘finish their work’
  • open-ended math centers allow students of different abilities to self-differentiate and explore the math concepts and skills they are developmentally ready for
  • open-ended math centers allow students to construct their own meaning, collaborate with their peers and engage in authentic conversations about math
  • open-ended math centers allow teachers to observe and collect assessment data in a non-threatening, non-stressful environment.

Take a look at some of our open-ended math centers in action. What do you notice?

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How many of the following Common Core State Standards for Kindergarten Math are being explored?

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How many of these Common Core State Standard Mathematical Practices are being developed?

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Here is a sneak peak into how we plan for open-ended math centers:

Manipulatives Writing Tools Boards/Placemats Teacher Questions/Prompts CCSS
Dot cards (p.34 guide for effective in kindergarten) white boards markers, pencils white boards How many dots are there?

Which has more? Has less?

6
Any ( peoples, farm animals, cubes) white board markets, pencils white boards, papers, dot cards, stampers, two circle placemats How many are in this circle? How many are in that circle? Which group has more? Less? How could we make it equal? 6
number line, counters white boards markers, papers white boards, papers How can you show me this number? Can you show me a number bigger than this number? Less than this number? 6
counters white boards /white board markers ten frames What number did you build? How many more do you need to make ___? How do we make ex: 11 ? 3
shape blocks pencil, markers paper What do you notice? What are you drawing? Tell me about that shape? How are these shapes the same? 3
building blocks

number cards

playdo How do the numbers look different? How do they look different?
Choose two numbers. One of them is a lot more than the other. What are they and how could you write them?
3


We are always growing in our own understanding of math centers and play-based learning, so we would love your feedback about our open-ended math centres. We would also love to hear about and see what early math learning looks like in your classroom! 

Learning Time Capsules – shifting the focus from achievement to progress

Here is an example of how one of our Grade 4 teachers is shifting his students’ focus from achievement to progress through the use of a math “time capsule”.

Diagnostic: This teacher looked at all the big concepts the Common Core outlined for fractions in Grade 4 and created open-ended questions to allow students to show what they already knew or thought they knew about each big idea. Students were encouraged to be risk-takers and try every question!

Grade 4 Open Fractions

The teacher then tracked students’ prior knowledge on an excel sheet. This allowed him to plan full group, small group, guided and individual math inquiries based on needs.

Formative: After a few weeks of inquiring into these fraction concepts, the teacher gave back the same task and highlighted questions that students were required to try (based on the concepts that had been learned over the past few weeks in class). Green meant they showed competent understanding the first time they tried the question (during the diagnostic), but could still show extended understanding if they added to it. Pink meant they had not previously attempted it or showed a developing understanding and would need to add or change their answer. Students were encouraged again to be risk-takers and try the questions that were not highlighted, as their new knowledge and understanding might help them figure out concepts that had not yet been explored as a class.

Grade 4 Fraction formative

The teacher then added this formative data to the excel sheet to show the progress each student had made in each area, who was ready for a challenge and who needed more support.

Students were also given the chance to reflect their own understanding of the concepts learned in class so far and indicate which areas they were feeling confident in and which they wish to work on more. The teacher also filled in the same feedback sheet which highlighted his perspective on what the student did well and what they could still practice. This feedback was shared with parents along with recommendations for support at home.

Stars and Wishes Template

Summative: At the end of the Unit, the teacher gave the same task back and the students were instructed try every question in order to show their final knowledge and understanding. Again the questions were colour coded so students knew which of their answers showed a competent understanding and which answers needed to be added to, changed or attempted. Prior to handing out the time capsule, the class came up with a student generated rubric for each question, indicating what would show a competent or extended answer. Students had access to both an electronic and paper copy of the rubric to help them understand how to be successful at each question

After completing the time capsule, students completed the Visible Thinking Routine “I used to think… Now I think” to reflect on how their thinking about fractions changed from the beginning of the unit to the end of the unit. The time capsule, self-assessment rubric and meta-cognitive reflection were all sent home so students could share their progress with their parents.

Used to think now i think

When the focus is on achievement, students have no choice but to compare their achievement to the achievement of others. But when you place the importance on progress, students focus on how their knowledge and understanding grows and changes over time. Each time the students added to or changed their time capsule it was a visual representation of how their knowledge and understanding had grown and changed. Each student felt successful in his or her own way because they could see the progress they made over the course of the unit.

How do you help your students focus on progress and growth?