Personalized Units of Inquiry

Last year I shared my teams’ dissatisfaction with the typical PYP approach to planning Units of Inquiry for students – especially within a context aiming to respect and support student agency.

Last year, I also shared my team’s first attempt at Units of Inquiry planned by students, as well as an update later on in the year as the process evolved.

This year we continue to grow and refine the process… always reflecting… always iterating… never satisfied. Keeping the parts of the process that were successful last year, ditching things that weren’t and trying new things we hope can make the process even better.

Here is a synopsis of how we’ve changed and improved the process from last year:

Starting with motivation and purpose

Similar to last year, we spent the first week inquiring into motivation and supporting students to uncover what their purpose might be.

Here are some of slides that helped us in our own planning, as well as guiding the students’ planning.

Something new we tried this year was having students think of their own, “why, how and what” when they were committing to their purpose. This in-between step helped them begin the thought process of unit planning, but in a very simplified way.

This simple, first step was really effective at helping students to begin to think about their journey.

This year, we also joined the community of learners – following each and every part of the process alongside our students.

Here is a link to the slides we used to guide this process with students.

Finding Connections

Something new we tried this year, was helping students find connections – both among their peers and within the school community.

First we decided to post all the students’ purposes in a central location. We chose to organize them by TD themes to help with our own tracking and horizontal articulation over the year.

Once all 120 students’ purposes were posted, we realized that although they were organized by TD theme, it would be helpful to also organize them by category. So we decided to look for trends and colour-code them based on what we noticed.

Then we decided to invite anyone and everyone who worked at the school that might have something to offer our students – single-subject teachers, coaches, our CAS coordinator, our Head of School etc. We asked them to do two things:

1. Analyze the students’ purposes and do a “see, think, wonder” leaving post-it notes with advice, observations, suggestions and questions.

2. Fill in a poster about what you are willing to help with and how you prefer to be contacted by the students.

As soon as the first post-it note and “I Can Help With” poster went up, students were at the boards, taking notes, photos and videos of anything and anyone that might help them achieve their purpose.

Unit Planning

Similar to last year, we had students go through the unit planning process. We felt it really helped them take their vision, and break it down into more manageable bits and pieces.

To simplify the process, this year my team spent a lot of time debating the different unit planners we used last year and reached consensus (which is rare for us!) about a unit planner that was simple, effective and aligned with the PYP planning process.

Tracking

Something new we are also trying his year, is to do a better job tracking all the different UOIs to be able to document horizontal articulation. Although last year we knew there was breadth and depth of exploration across all six TD themes, because we were all new and figuring it out as we went, we didn’t have a process for keeping track of it all.

This year we’ve decided to create a database that will document each student’s personalized UOIs over the course of the year, creating somewhat of a personalized program of inquiry.

This will allow us to see which TD themes have been explored by which students and therefore which TD themes and students might need a nudged over the course of the year. It will also provide a record that we can share with IB visitors during evaluation visits to show that we are meeting the Standards and Practices of students engaging with all six TD themes in their final year of the PYP.

Self-Evaluations

Another element of the process we wanted to keep from last year, was having students evaluate their own learning (i.e. write their own reports). However, we felt that it wasn’t only important for students to evaluate their own learning upon the completion of their unit, but also the creation of their unit.

So after students created their own personalized UOI, they formally evaluated their understanding of their own motivation and indicators of success.

We provided them with the following guiding questions:

Then we responded to their self-evaluation based on our own observations and assessments of the unit creation process.

After six weeks we will follow the same procedure as last year, asking students to reflect on and evaluate their motivation and success in order to make an informed choice whether to “pivot or preserve”.

Parent Involvement

Something new we are going to try is involving parents more in supporting the students throughout their Units. Last year we had a few parents come in as experts, but we felt the process could be much more intentional and organized.

First we reached out to parents to see who might be interested in donating time and expertise to support our students’ Units.

From here, we are planning to look at the data and begin to create a sustainable structure of matching up parents who have something to offer, with students who are looking for help.

Something from last year that worked really well that we plan to do again this year, was inviting parents in for a UOI consultation. Parents came in and sat with their their child, looked at their unit plan, the documentation and evidence and both celebrated their progress as well as offered advice and suggestions about next steps.

We’re only a few weeks in… but it’s been a wonderful few weeks! It’s been great to see students start to explore their purpose, build connections, reach out to experts and take action! The buzz is real!

Photo credits: @puglifevn @juoulette @phuhua

Overall, the changes and improvements have had a positive impact on maintaining the integrity of student voice, choice and ownership in the process while balancing the expectations of the program.

As usual, we will continue to reflect and refine as we go… and I’ll keep sharing our journey with you along the way!

How do you ensure Units of Inquiry are significant, relevant, engaging and challenging for each student?

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Differentiation: Not Just for Students

I know what you’re thinking… I’m going to say differentiation should also be for teachers. And although that is very true, I’ve blogged about that before. This time I’m interested in thinking about how we should be differentiating for parents.

We spend a lot of time and effort making sure our students’ differences and perspectives are considered and honoured, but what about the diversity in the perspectives and preferences of the families we work with? If one size does not fit all for students, then perhaps one size should not fit all for the families either.

In the past week, getting ready for a new school year, I have had many thought-provoking conversations with colleagues about how we can better meet the unique needs of every family each family.

Here is what we have come up with so far:

Weekly Updates

Many of us send home weekly information and often get frustrated if it is not being read. When working with students we often say, “If they aren’t learning the way we’re teaching, then let’s teach the way they learn.” If we apply the same thinking to the families then if parents aren’t consuming the way we’re communicating, then maybe we should start communicating the way they’re consuming. This year I am trying out a system where I send home a weekly written blog post for families and also an YouTube video. That way parents who are comfortable with English and have time to read can gather information from the blog post and families who are unable/uncomfortable reading English or prefer watching videos can gather the same information from YouTube.  

Collecting Information about Students

Many of us like to get to know our students through the parents’ perspective either before the year starts or during the first weeks of school. Some of us send home a graphic organizer for parents to fill out, others request a letter from the parents, others use a Google Form with questions. Just like our students, I’m sure parents have preferred ways to share information with us. This year I shared my goal with the parents of my students – that I want to learn about their children through their eyes – but instead of mandating how, I offered three choices. I invited parents to come in and have a face-to-face meeting if they want to tell me about their child in person, or call me if they preferred to tell me over the phone, or to share electronically by filling out a survey on a Google Form.

Communication Logs

I have a colleague who used to have daily communication logs for all her students at her old school, but when she transferred to our school last year she let go of that practice since it wasn’t the norm at our school. Throughout the year she found that some parents were upset that there was not a daily communication log, so this year she was playing with the idea of reintroducing them into her teaching practice. Then we started to chat about the idea and realized maybe it doesn’t have to be all or none, maybe it could be optional based on the preference of the family. Now she is planning on offering this to all her families and seeing who is interested and who is not. For some families daily communication is essential. For other families daily communication is a nuisance. Why can’t we satisfy both groups? And those in between! Not only is she going to ask if her families are interested in a daily communication log, but she is also going to ask. how they would like to communicate. A notebook that goes back and forth… Google Sheet that is shared…. a phone call? Whatever works for that specific family.

Homework 

I used to assign mandatory homework and then get frustrated when students did not complete it and the families did not support it. This year I was planning on having a zero homework policy. Then I realized that it doesn’t have to be an either or… it can be a both and. If I as the teacher mandate homework for all my students, I am neglecting the perspectives of the families who value their time after school for other activities and wish not to have homework. If I as the teacher outlaw homework I am neglecting the perspectives of the families who value extended practice of the academic skills we explore in class. So this year I plan to conduct a collaborative inquiry into homework with my students, where we can gather and analyze diverse perspectives about homework (student, parent, teacher, administrator, research etc.) and then share our discoveries with the families. From there each family will be able to decide if they want homework for their son or daughter, why they want homework and how they want to approach homework.

So far, this approach has been very rewarding. I have received positive feedback from my families about the choices and options they have had. I hope I can continue to reflect and discover other options for family differentiation to help me work towards my goal of a more inclusive education experience for all involved.

How do you differentiate to meet the needs of your students’ families?

What other ways can you think of honouring families’ unique and diverse perspectives and preferences?

Re-thinking “morning work”

How many adults wake up and start their day with a worksheet?

None that I know of.

Whether it is called “bell work” “morning work” or a “a daily warm up” lots of students begin their day by completing a worksheet, answering questions or a doing a pre-planned activity – all of which have been decided for them by the teacher.

Just check out Google or Pinterest to see all the different varieties:

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But how do people start their day in their ‘real world’?

I start my day by scrolling through my Twitter.

My husband starts his day by meditating.

My mother starts her day by doing a crossword puzzle.

My father starts his day by playing chess.

My best friend starts her day by working out.

My mother-in-law starts her day by reading.

My father-in-law starts his day checking sports scores.

All different. All valuable. All self-chosen.

Why can’t students start their school days like this? Why can’t students choose how they start their own school days? Perhaps if we allowed students to choose how to begin their school day we would not have to stand in the halls and count down from 10 and compel our students to enter the classroom. Perhaps they would want to enter because they are excited and happy to be at school and start their day. I know teachers have many administrative responsibilities at the beginning of the day like attendance and collecting field trip forms, so a 10 – 15 minute window of time is needed to ensure these responsibilities are met. But why are we dictating how students spend those first 10-15 minutes warming up to their day?

Next year I plan to have a discussion with my students about how humans start their days. I plan to share how my friends and family begin their days, and I hope my students will share how their friends and family begin their day. I hope we can use this to create a list of possibilities about how students might start their day and post it somewhere in our room. Then I plan to respect their freedom and choice over how they start their school day while I am competing my administrative responsibilities.

Imagine the learning that might happen….

Imagine the connections that might happen….

Imagine the skills that might be developed….

Imagine no longer needing to find, photocopy and mark “bell work”…

If it works for teachers… why not students?

Last week I wrote about how my work with adults will change the way I interact with students with regards to issues of classroom management. The more I thought about it, the more I realized it will also change the way I approach planning for learning experiences. After two years working with adult learners I feel pretty confident with the structure I have used for professional development sessions.

Why can’t I use that same structure with children?

I had the sneaking suspicion that I could… and lucky for me the perfect opportunity presented itself! I was asked to facilitate a one hour “bridges” session to help our transitioning Grade 5 students learn about the MYP. So I decided to approach it the way I would approach a one hour PD session with adults.

Here is how it went:

I planned Guiding Slides based on Kath Murdoch’s inquiry cycle (just like I would for teachers)

I gathered materials – pencils, markers, post-its, scrap paper. (just like I would for teachers)

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I built a Google Doc with a variety of resources. (just like I would for teachers)

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I set up groups with materials already on the tables. (just like I would for teachers)

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We played a round of “stand-up if…” to help our learning community build connections before jumping into the learning. (just like I would with teachers)

I told them I would collect their attention by simply raising my hand and waiting patiently for them to wrap up their conversations. (just like I do with teachers)

Students tuned into what they already know-or think they know. (just like teachers would)

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Students tuned into what they wondered and wanted to find out. (just like teachers would) 

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Student chose how they would find out – watch a video, read a blog post, look at a diagram, browse a Twitter hashtag. (just like teachers would)

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Students decided how best to record and organize the important information they found – write it down, type it out, take a picture of it. (just like teachers would)     

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Students reflected on how their thinking changed. (Just like teachers would)

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My reflections on the session…

It was amazing to see that when given the opportunity, students were able to take ownership over their own learning. There was no “lesson” and I didn’t “teach” them anything… but there was learning. There was thinking, curiosity, self-differentiation, risk-taking, discussion, reflection and new understandings.

What worked:

  • playing a game to build connections before starting with the learning tasks
  • individually tuning in and collectively posting initial thoughts and questions
  • raising my hand to collect their attention
  • having a collection of resource links on a Google Doc for students with devices and paper copies for students without devices
  • providing choice of how, where and with who to learn
  • having post-its, scrap paper and writing utensils on each group
  • setting time expectations, not task expectations (ex. you have 5 minutes to write as many post-its about what you know about the MYP; you have 15 minutes to explore as many resources as time allows) 
  • using familiar Visible Thinking Routines like “I used to think, now I think” and “See, Think, Wonder”
  • reflecting at the end of the session about how their thinking has changed

What I would change if I did it again:

  • time it out differently and plan to do less in one hour
  • trim down the resources to one or two per type
  • support students more in accessing and using the Google Doc
  • stick with VTRs  they are familiar with and have used before

So, can I use the same structures to facilitate student learning that I use to facilitate teacher learning?

YES! 

…perhaps just with a little extra time and support!

A Model for a Year of Personalized Professional Learning – A Dream

During this past year I have blogged about our first attempt at a half day of Personalized Professional Learning, then I wrote about our second iteration of Personalized Professional Learning. Now the big question… what’s next?

I think the next step is turning this model of PPL into the basis for a year long PD plan.

This is the time of year that school teams are meeting to design professional development action plans for next year. If it were up to me, I would design the structures and systems to allow for a whole year of personalized professional learning. Usually, I blog about ideas I have tried and put into practice. This post will be the opposite. It will be about an idea – in the earliest phases of conception – that is purely hypothetical. At this stage, simply a vision. Nothing more. Yet.

So here is my vision. I’d love to know what you think!

The start of the year – tuning in:

Before a classroom teacher introduces a new unit on body systems, or fractions, or procedural writing, they (should) first tune into what their students already know and already can do. Why should planning for professional development be any different? Before any administrator or school leader even thinks about teaching/training/developing their staff in a specific area – inquiry, assessment, strategies for language development – they too should tune into what their teachers already know and can do. This is not only important diagnostic assessment data for leaders, but equally important to help teachers become explicitly aware of what they already know and can do. But how? I have a few ideas…

  1. A professional learning time capsule – Many teachers use the idea of time capsule to help students’ tune into what they already know. Why couldn’t the same diagnostic strategy be used for teachers? Administrators and leadership teams could take their school improvement plan goals and IB action plan goals and create an open-ended diagnostic assessment where teachers reflect on what they already know and can do as it relates to the prioritized topics of professional development for that year.
  2. A professional self-assessment  For each area of the time capsule, teachers could indicate on a spectrum (beginning, developing, competent, extended) where they think their professional knowledge and practice liesSlide1 Slide2
  3. Personalized professional learning objectives After completing the time capsule and assessing what they already know and can do, teachers can look for potential areas of growth in their own professional development within the context of school chosen areas of focus. These self-identified areas for growth could then be turned into personalized professional learning objectives – or what is commonly known in adult education as learning contracts.  If based on the time capsule and self-assessment, a teacher realized they have beginning understanding of inquiry-based teaching they would then create personalized professional learning objective about inquiry-based teaching.
  4. Personalized professional success criteria – Once teachers have systematically identified their own areas for professional growth – based on the areas of professional development the school has prioritized for that year – and have created a list of personalized professional learning objectives, they could then develop their own success criteria, to specifically describe what the successful attainment of each learning objective would look like.  Creation of success criteria would answer the question, “How will you know you have achieved your learning objective?”               Personalized Professional Learning Plan Template
  5. Personalized professional learning conference – If a teacher was asking a student to complete a self-assessment it would be followed up by a conference where the teacher reviews and reflects on the student’s assessment with the student. A teacher’s self-assessment should be no different. After teachers have self-assessed their learning time capsule, set their own learning objectives and developed their own success criteria they could meet with an administrator or a member of the leadership team to review their personalized professional learning plan. This is where leaders can review the time capsule and have conversations with teachers to uncover misconceptions and gaps in professional knowledge that teachers may not have identified for themselves.   For example, if a teacher has self-assessed that they have a competent understanding and skill set to support English Language Learners, but through reviewing the time capsule and having a conversation the leader thinks there is more room to grow, the leader can suggest the teacher adds it to their personalized professional learning plan.

If this seems like a long, time consuming process that’s because it is. Tuning in is not something to be rushed in order to get on with the learning. Like Kath Murdoch says, it IS the learning. Taking the time to build a diagnostic assessment tool around the school improvement plan goals and IB action plan goal, then allowing staff to self-assess against those areas and become aware of their own learning and then having teachers meet with a school leader to discuss their personalized professional learning plan are essential steps in setting the stage for the rest of the year of personalized professional learning.

Throughout the year – Finding out, Sorting out, Going further:

Once you have the personalized learning plans set, you can use those as the basis for ALL professional development times throughout the year – after school meetings, half days, full days… any time! How, you ask? I have a few ideas…

  1. Selecting a focus or two – Before a professional development day or afternoon, it would be important to help teachers select one or two areas of their professional learning that they would like to focus on. We have done this two different ways during our first iteration of PPL and our revised model of PPL and both proved to be effective. If teachers already had a list of personalized professional learning objectives, they would only need to refer to the list and choose the one or two areas they felt most passionate about.            PPL planner 1 ppl planner 2
  2. Planning in response to learning Once teachers have identified what they want to learn about it, leaders could collect data about how teachers want to learn. Personal inquiry? Collaborative inquiry? Workshops? Meeting with an instructional coach? Gathering data about how teachers want to learn can then be used to build a structure for a day or afternoon that supports personalized professional learning.                          ppl 4 image
  3. Let the learning happen – Once the day is planned and teachers know what they want to learn about and how they want to learn… get out of the way and let the learning happen!
  4. Assessing the learningOnce the day or afternoon is finished, teachers could refer back to their success criteria and reflect on whether they have met their targeted learning objectives of the day, or whether they need to continue to pursue further learning opportunities.
  5. Repeat The next time another scheduled PD day rolls around again, have teachers refer back to their personalized professional learning objectives select one or two objectives they would like to start working on (or continue working on), plan the structure of the day in response to the needs and preferences of the teachers, let the learning happen and then build in time for assessment of progress.

This process could be used every time there is the opportunity for professional development. Once the systems and structures are in place, there is minimal planning that needs to be done by the leadership team. Isn’t that the sweet spot of inquiry – low prep for “teachers”, high engagement, ownership and learning for “students”? There are also some great opportunities for formative assessment and feedback throughout the year. Bring out the time capsules half way through the year and have teachers add, change and remove things to better reflect what they know and can do now. Or have a mid-point conference with the same leader as the beginning of the year discuss progress and growth.

At the end of the year – Making conclusions:

By the end of the year, there should be so much growth and progress for each and every teacher to reflect on, celebrate and share! Wondering how? I have a few ideas…

  1. Revisit their professional learning time capsule – Provide all teachers with either a blank copy of the same time capsule you used at the beginning of the year, or the actual time capsule they filled in and let them update their time capsule to reflect all that they have learned over the year. This will be a great way to help make their learning visible.
  2. Self-assessment – For each area of the time capsule, teachers could indicate where they are now with regards to their professional knowledge and practice. Hopefully this would allow teachers to see that in certain areas they have moved themselves along the spectrum. Teachers could also reflect on their success criteria and evaluate whether or not they have met the success criteria for each of their personalized professional learning objectives. If there is criteria that is not met (yet), that could be a great starting point for the following year’s personalized professional learning plan!
  3. Share and celebrate – Provide teachers with time to consolidate their learning and decide what they want to share with their learning community. Using the RAFT format can be quite helpful to allow teachers to choose what they want to share and how they want to share it. Sounds like the potential for a mini teacher Exhibition!

I’m a firm believer that every single thing we expect from teachers in the work they do with their learners – assessment, inquiry, differentiation, personalization, learner voice and choice, reflection, ownership, action – should be purposefully modeled in the work leaders do with their learners. I think this model presents a way to allow for all of the aforementioned best practices, while at the same time working towards school-wide goals and objectives. Teachers are doing a great job helping their students reach standardized curricular goals and objectives in inquiry-based, differentiated ways. School leaders can and should be doing the same in their models of professional development.

I realize that I have referred to the learners as “teachers” throughout this blog post. I think this model could work for an entire school community. Every staff member – counselor, TA, coordinator, administrator, coach – could participate in all of these activities and develop themselves as professionals. In fact, the leadership of a school should be intentionally modelling this process for the staff and should be positioning themselves as the lead learners.

What am I missing?

Where are the gaps and weaknesses in this model of PD?

How could I refine this vision to further support teachers as learners while meeting school goals and objectives? 

 

Personalized Professional Learning – Take Two!

A few months ago, my partner in crime and I had a crazy idea to design a model of Personalized  Professional Learning that would hopefully model for our staff, what we expect to see in their classrooms. Our first attempt at PPL went really well and we received awesome feedback from our staff – but we wanted to challenge ourselves to reflect, refine and improve the model further.

Our biggest area of self-identified growth was linking everyone’s personalized learning to our School Improvement Plan goals and our PYP Action plan goals. When reflecting on our first iteration of PPL, we realized we had modelled open-inquiry. We asked our staff “What do you want to learn about” and we structured an afternoon to support those goals. However,  open-inquiry is often a luxury teachers -and we’ve come to discover – administrators do not have. Teachers have curriculum goals that students need to meet and administrators have school improvement plan and IB program action plan goals that staff need to meet. Thus bringing to light our challenge when designing the second iteration of PPL – how can we design a half day of personalized professional learning that is inquiry-based, differentiated, built on learner voice and choice… but still guides our staff towards meeting our school and program goals?

Here is how we went about it:

Step 1 – Rethinking and reorganizing topics of learning interests

Last time, our staff collectively built a learning menu that listed many different topics 21st Century teachers are learning about – maker space, play, e-portfolios, etc.

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We realized that many of those topics ALREADY contribute to our School Improvement Plan (SIP) goals and IB Action Plan (IBAP) goals – we just needed to make the connections more explicit. So our 8 person leadership team sat down and re-organized the menus by SIP goals and IBAP goals. This resulted in new learning menus that had all the same staff-selected topics of interest, but organized in a more purposeful way.

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Step 2 – Reflecting on our last afternoon of PPL 

At our school, we advocate for “no secret teacher business”, which means we also need to model “no secret leadership business”. So we were honest, vulnerable and transparent with our staff. We openly reflected on both the strengths an areas of growth of our first attempt at PPL. We admitted that we had used a model of open inquiry, and we were clear that next time we wanted to implement a model that was more guided and informed by our SIP and IBAP. To get our staff to begin to think of PPL in this way, we did an activity where everyone reflected on what they learned about during our first attempt at PPL and tried to retroactively find a connection to our School Improvement Plan or PYP Action Plan. We posted goals from our SIP and IBAP around the room and gave stickers to all staff to post based on goals that connected to what they had learned about on our last half day.

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We shared with our staff, that even though it was great that so much of our learning accidentally contributed to our SIP and IBAP, this time we wanted to ensure that our PPL purposefully contributed to our school and program goals.

Step 3 – Purposefully planning for our upcoming half day of PPL

Similar to last time, we wanted to give our staff some time to think about what they would learn, how they would learn and how they would share their learning for our upcoming half day – the difference being this time, we wanted their “what” to be linked to either a School Improvement Plan goal or PYP Action Plan goal. In order to do this, we used an after school staff meeting to give staff time with our newly organized learning menus to think about how they might to spend  their upcoming half day. Each staff member took a few small colour squares and wrote down what they wanted to learn, how they wanted to learn and how they planned to share their learning with others.

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Then, they had to post their squares on bulletin boards that we had divided up based on our School Improvement Plan and PYP Action plan.

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This allowed everyone on staff to not only be purposeful about what they wanted to learn and how it contributes to school and program goals, but it was also a great way to allow everyone to see what everyone else was interested in learning about on the upcoming half day.

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Step 4 -Planning in response to learning

Similar to last time, our leadership team wanted to plan the structure of the half day based on the learning needs and interests of the staff. In order to do this, we looked at our bulletin boards and recorded how staff wanted to learn and what specifically they wanted to learn about.

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We analyzed the data, specifically paying attention to numbers and trends in order to figure out how best to structure our half day of personalized professional learning. This approach revealed that most of our staff was interested in personal inquiry and collaborative inquiry and some of our staff was interested in workshops, mainly about math, literacy and technology. This allowed us to build a structure for our half day that was representative of our learners’ needs and interests.

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Step 5 – Let the learning happen

On our half day, we gathered as a whole staff to review the structure of the day, review our essential agreements and set personal goals.

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Then we just stepped back and let the learning unfold. It was amazing to see some staff attend workshops, some staff inquiring collaboratively and other staff pursuing  areas of personal exploration.

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OF COURSE, we kept adult recess which proved to be one of the day’s highlights again!

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And we finished the day reflecting on what we learned and how we learned.

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Step 6 – Track the learning

Always, at the end of professional development, we collect feedback from our staff about what went well and what could be improved for next time. In addition to feedback, this time we wanted to collect some data about the learning that took place as well and specifically how it contributed to our School Improvement Plan and PYP Action Plan.

We collected data on what staff learned:

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We collected data on how staff learned:

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We collected data on how staff shared their learning with others:

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We collected data on how staff’s learning contributed to our School Improvement Plan goals:

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We collected data on how staff’s leaning contributed to our PYP Action Plan goals:

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Once all the data was collected and organized, we made a display to ensure that our whole learning community could see the stats about our half day of personalized professional learning.

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All in all, I think it was a success! It felt good to find the synergy between having all learners learning towards to a standard collection of goals, but allowing them to do it in a way that was relevant, significant, challenging and engaging for each them as individual learners. Again, we received an overwhelming positive response to our half day of PPL. When learners are thanking you for letting them learn and asking for more and longer opportunities to learn, hopefully that means we’re on the right track!

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We still have lots of room to grow, so we would love to hear your thoughts and feedback on our model of Personalized Professional Learning! 

 

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:

math workshop 3 math workshop 2 math workshop 1

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.

math workshop 8

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!

math workshop 6 math workshop 5 math workshop 4

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.

CSQ

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?