How democratic is your classroom?

I am currently in a summer course called Alternative Approaches to Schooling – which is BLOWING my mind – with concepts of free-schooling, willed-curriculum, unschooling, holistic education, critical pedagogy and democratic education. We have also been reading an amazing book called Tuning Points, which chronicles the personal journeys of 35 education revolutionaries.

All of this new knowledge is provoking my own thinking about my plans for next year. Am I helping to develop the whole child? Will my students experience freedoms and personal liberties? What structures of power will exist?

And the question that has been circling my mind the most…

How democratic will my classroom be? 

I used to think my approach to teaching was very democratic and that I helped to set up a community of learners where students had ample voice and choice…. but the more I have read, thought, discussed and watched real examples of democratic classrooms, the more I am beginning to wonder. Schools like Summerhill and Windsor House are living breathing examples of how trusting children to participate in real and important decisions can be quite magical. Watching a student-led “council meeting” from minute 23-32 on this documentary shows just how powerful true democratic processes can be in the classroom.

I think back to my pages and pages of detailed classroom layouts that I would sketch in the summer, showing exactly where every piece of furniture would be, all to be set up before any student stepped foot into the classroom…

I think of my pages and pages of detailed systems and routines for being quite, moving spots, going to the bathroom, starting the day, ending the day, cleaning up, packing up, solving problems that I would plan on my own and train students to follow during the first few weeks of school…

I think of all the “community meetings” where I controlled what was discussed, how it was discussed and who participated in the discussion and when….

And I’m feeling like, perhaps, my classrooom was psuedo-democractic at best. Where I always had the final voice and veto and I would carefully decide what decisions and plans students were allowed to participate in.

This year I would like to try and do better. I would like to try and become a truly democratic community, where students and I make plans and decisions together. Where all of our votes count for one. Where students are trusted with real responsibility to make real decisions that actually matter. Where the classroom looks and feels and functions more like the real world.

How? I have no idea yet… but when I figure it out I’ll be sure to share it with you here! 

In your classroom and school, are you teaching about democracy… or through democracy?

How much have you planned  for next year without your students?

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Working with adults will make me more patient with children

As PYP Coordinator, I have worked with adult learners for two years and I have loved every minute of it. The amazing conversations we’ve had about teaching and learning have blown my educational-mind and have played a huge part in my decision to go back into the classroom.

I have to admit though, when I took the job as PYP Coordinator I had no idea what to expect! (To be honest I was a little intimidated to work with adults!) Now, after two years of working with adults I look back and value the strong relationships I’ve built and the great learning experience I have had!

However, there were some things that surprised me about adult learners – the very same things that used to frustrate me as a classroom teacher. I have started to wonder if  these similarities might have more to do with being a human, than being a child.

So here is my list of 10 things that I’ve noticed we do as adult-learners that will hopefully make me more patient when working with child-learners:

  1. We talk while someone is talking – I can’t recall one staff meeting or professional development session where side conversations weren’t going on while someone else was speaking.
  2. We forget to clean up after ourselves – After most 45-minute collaboration sessions or 3-hour unit planning sessions I find myself throwing out wrappers, left over food, empty water bottles, used tissues – not to mention putting communal pencils back in their cups and clearing away scrap papers.
  3. We opt to not participate – A few months ago we did a “Sentence, Phrase, Word” Visible Thinking Routine to help our staff unpack the IB’s expectations for Three-Way Conferences. We made a chart paper for each grade and subject team where each staff member could place their post-its with their sentence, phrase and word. It was interesting that many of posters had significantly fewer sentences, phrases and words than members of their team who were present.
  4. We forget to bring things – Sometimes a request is made to bring something specific to a staff meeting or collaborative planning session, for example a device, a PYP binder, day plans etc.. And sometimes people have shown up without them.
  5. We need more time – Many times tasks are planned to take one hour… one session… one afternoon to complete, but often certain teams and individuals need more time.
  6. We take a long time to wrap up a conversation – With our large staff of 125 adult-learners we raise our hand to re-collect everyone’s attention after a group discussion. Most times this takes at least 2 minutes of holding up my hand. It makes me think of all the times as a classroom teacher I counted down from 5 (from 5!) and expected my students to have wrapped up their conversation and re-focused their attention!
  7. We take a long time to transition – We try to have a lot of movement in our professional development sessions, where staff move from place to place and activity to activity. Even if the transition is something small like go post your post-it on the chart, we are often looking at transitions of 5 minutes plus and lots of invitations (and reminders) to head back to our seats.
  8. We don’t follow instructions – At the beginning of the year we did a Chalk Talk as a staff where we explained that during a Chalk Talk you communicate with others through your marker, not by using your voice… we lasted 45 seconds without talking to each other.
  9. We get “off task” – I’m not sure there has been one grade or subject collaborative planning session when teams are working on their PYP planners, where random tangents of conversations have not erupted – …. travel stories, new restaurant discoveries, tales of weird childhood injuries etc.
  10. We choose to work with our friends – As much as possible we try to mix and mingle our very large staff in a variety of ways – instructions to sit with people you don’t know, turn and share with someone who is not on your team, name cards on tables – and yet somehow, the majority of the time,  friends end up sitting with and working with friends.

I’m not saying as adult learners we are bad or misbehaving. Quite the opposite! I’m saying that if  we as grown-up, responsible, mature, professionals do all of these things… how can we possibly get upset at children for doing them? As I head back into the classroom next year, I hope that when I am faced with children who take a long time to wrap up their conversation, forget to bring their device, talk while someone is talking or don’t follow instructions that I treat them with the same level of patience, respect and dignity that I would treat a group of adults in that same situation.

Ask yourself…

Have you ever whispered to a friend during a staff meeting?

Have you ever left behind a pencil, water bottle, coffee mug?

Have you ever showed up to PD without a device or writing utensil?

Have you ever had a quick conversation with a friend on the way back to your seat?

Have you ever sat beside or worked with one of your friends?

I know I have…

Taryn’s Taxonomy of Professional Learning Resources

As PYP Coordinator, my job is not only to support my colleagues as teachers, but also as learners. When I meet with them to talk about their professional learning I usually ask the same three questions:

  1. What have you been learning about lately?
  2. How have  you been learning about it?
  3. What do you plan to learn about next?

When I’m having these conversations, it’s often responses to the second question that stick with me and get me thinking about different types of resources, how they support different purposes and where they fit along the journey of a life long teacher-learner.

Based on my own reflections and perspectives, I created Taryn’s Taxonomy of Professional Learning Resources to illustrate my beliefs about the many different sources teachers use for their professional learning.

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Teachers Pay Teachers – I can understand why teachers use TPT. I pass no judgement on teachers who uses TPT. However I don’t like TPT for a variety of reasons, many of which are shared by fellow educators Matt Gomez and Chelsea Bashore. For these reasons, I believe that TPT is on the lower end of the taxonomy of professional learning resources. I think TPT provides teachers with things teachers can use right away in their classroom, but like Edna Sackson says, “effective professional learning is not about things you can try tomorrow, but rather big ideas that shift your understanding of teaching and learning”. I’ve yet to see TPT as source of big ideas that shift teachers’ thinking and until it does, it will remain on the bottom of my taxonomy.

Pinterest – I’ve shared my opinions about Pinterest before. So have other educators. I think similar to Teachers Pay Teaches, time spent on Pinterest is most often focused on the “what” of teaching, not necessarily the “how” or “why”. Focusing on the “what” keeps us in the cycle of doing school and prevents us from moving closer towards real learning. Many teacher-friends have been telling me that Pinterest has gotten better lately – for this reason I have placed it above TPT- but I still have my reservations. Until the comments shift from “I saw something on Pinterest I am going to try” to “I learned something on Pinterest that blew my mind and totally challenged my thinking about _____”  it will remain on the lower end of my taxonomy.

Blogs – Blogs. Now we’re getting somewhere! True, some blogs can still be stuck in the “what”, but good blogs start to move into the “hows” and “whys” of teaching and learning. Blogs allow teachers to share their practice, thoughts, questions and reflections. This reflective, narrative quality  is what opens up the conversation to allow for the exploration of how to turn theory into practice and why something is worth knowing or doing in the first place. Really excellent blogs even go so far as to critically look at teaching and learning, ask provocative questions and challenge your thinking about why we do what we do – and why we need to do it better! However, something to be cautious of, is the fact that anyone can blog, which means much of what is written is coming from one person’s experience and perspective (like this post for example!) so you have to be discerning and critical as a blog consumer.

Twitter – Twitter is in a very similar category to blogs for a few reasons. First of all, on Twitter you can find “whats”, “hows” and “whys”.  However, the benefit of Twitter is that you are exposed to a wide range of everything all at once so you can easily skip past the “whats” in search of the “hows” and the “whys”. Also – similar to blogs – you also have to be a critical consumer when reading people’s perspectives and opinions about teaching and learning. Yet, even though Twitter is a forum where personal perspectives are shared, research is also discussed and cited quite regularly. Edna Sackson advocates for professional learning that challenges our thinking by providing us with tensions to work through and big ideas to connect. In my opinion, Twitter as a resource successfully accomplishes that very goal!

Research – Education research… the highest level on the taxonomy… the apex of the pyramid… and sadly, the most seldom used source of teachers’ professional learning (present company included!).  Sources like ERIC, ASCD and Google Scholar provide access to thousands of journal articles that provide strategies for teaching and learning that are supported by data. Education research can provide answers to our questions about the “what”, “how” and “why” in research-based ways. It’s not one educator’s opinion about what they think is effective in the classroom, it’s what has been shown to be effective through rigorous research design, large amounts of data collection and sophisticated analysis and interpretation.  The question is, if all of this amazing, data-supported education research is available… why aren’t more of us using it in our professional learning?

Peers – I have placed peers as a resource for professional learning all the way up the pyramid. This is because I believe peers can be an amazing source of professional learning – depending on what is being shared. Peers can be an avenue for sharing everything from a “what” found on TPT all the way up to research-supported “hows” or “whys”.

When I think back on my own journey as a learner, I can see how I have moved up the taxonomy over the years- starting from focusing on the “what” and year by year getting closer to focusing on the “why”. I was never much a TPT user, but I was definitely a Pinterest addict and spent my early years in education looking for things I could use in my classroom. Last year I got into blogs to support my inquiries that were more focused on learning about how teachers made inquiry-based, concept-driven education a reality for their students. This year I am all about Twitter. I love scrolling through and having my own beliefs about teaching and learning challenged and learning about new ideas and initiatives that help me move away from “doing school” and closer to being able to facilitate true learning. I can clearly see where I need to head next…. in to the scary land of education research. That will be my focus for next year.

When thinking about this taxonomy and my role as PYP Coordinator, I am beginning to think that my job is not only to support teachers’ learning… but also to support teachers as learners by helping them move up the pyramid to use sources in their professional learning that are grounded in research and focus on big conceptual shifts in thinking.

Where are you on the taxonomy?

What are your perspectives on the different sources of professional learning?

What sources of professional learning am I missing? Where would you place them?

How do you help your colleagues move up the pyramid?

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:

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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?

I signed up for Twitter. Now what?

A few weeks ago we designed a half day of personalized, professional learning for our staff and we had an explosion of people sign up for Twitter – which I couldn’t be more excited about! Many of them shared the same question:

“I signed up for Twitter. Now what?”

So, to all the amazing risk-takers I work with, who took the plunge and joined the wonderful world of Twitter, I dedicate this post to you.

Here is my advice about what to do next:

De-egg

I know there is often hesitation from new users to post a picture of themselves on their Twitter profile, but I can tell you that it is essential. If I’m being honest, as a Twitter user, I feel much more comfortable interacting with other Tweeters who have a profile picture and I rarely add someone who is rocking the “egg” (aka the default picture). In my experience, I have never had any Twitter experiences that have made me feel unsafe or regret my choice to de-egg.

de egg

Clarify your purpose

Are you interested in using Twitter as a tool for your own learning or for your students’ learning?  Depending on what your primary purpose is, the nature of who you follow, what you post and how you use it will all hinge on this question. If your answer is both, I recommend having two separate accounts. One for your own learning, where you can follow other teachers, post your questions about teaching and learning and share your professional successes. And a separate one for your class where your class can follow other classes, your students can post their questions and they can share their learning successes.

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Fill in your bio

When I am deciding who to follow on Twitter, I often refer to their bio to get a sense of who they are and what they might be Tweeting about. The more specific the better. If I’m going through a list and I can’t see where you teach or what you teach, I am probably not going to follow you. It doesn’t have to be too personal, but a few lines about your position (principal, Grade 3 teacher, PYP art teacher) and educational interests (inquiry, digital citizenship, play in the classroom) can really help you connect with other educators.

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Begin to curate a collection of people you wish to follow

The more people you follow, the more useful your Twitter becomes. And the more you tailor your list of people to your specific position and interests, the more you will get out of Twitter. If you are using Twitter for your own learning, my advice is to start with this list of over 500 PYP educators. Scroll through, read the bios and follow anyone that you feel will be worth while. If you are using Twitter for your students’ learning then check out this list of tweeting classes, and scroll through with your students to select which classes you want to follow. Another great way to curate your list is to find someone relevant to your purpose and scroll through their list of followers.

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Dip in – Dip out

Twitter is a never-ending, bottomless pit of amazingness. There are always “New Tweets”. This is both a blessing and a curse. Trying to see everything and stay up to date is futile, especially if you are new to Twitter. You can literally update your homepage every second and at least one new Tweet will appear.  The best thing you can do it “dip in and dip out”. If you have 5 minutes to spare, open up your account and scroll through your homepage or your favourite hashtag. When your time is up log off.

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“Like” things you wish to save for later

One of the best things about Twitter is that you can get a lot out of 5 minutes worth of browsing. One of the worst things about Twitter is that it is constantly changing and tweets get buried pretty easily as time ticks on. If you come across something you are interested in, “like” it and come back to it later when you have more time. All of your favourite Tweets are saved and can be accessed from your profile page so you can go back to them at any time.
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Tweet something 

But only when you are ready. For the first little while after I joined Twitter, I didn’t post anything. So if you are at the stage where you just want to browse, explore and discover the awesome ideas and resources that are being shared by other educators- that’s perfectly fine! When you have something “Tweet-worthy” you’ll know it. At my school we refer to this moments as the “You gotta come see this!” phone call or email that you send to your PYP coordinator when you just know amazing learning is taking place. So when you get that feeling – that you’re doing something with your students that you want everyone to know about – take a picture, log on to Twitter, click the icon of the feather and capture the magic with 140 characters or less. To help your Tweet reach more educators, choose from this list of popular education hash tags.

twitter feather

New Twitter users – what other questions do you have?

Experienced Twitter users – what other advice can you offer?