Will Gourley Challenging Topics, Constant Learning, Differentiated Instruction, General, Making a Difference Through Education, Modern Learning, Professional Learning and Growth, self reflection

Painting with the same brush.

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Underlying
An artist was preparing to paint one day. First, she stretched and secured her canvas over its wooden frame. The artist continued by arranging her brushes, planning a colour scheme, and then by setting up her supplies. Finally, it was time to ponder her subject forever to be captured in a moment of time and occupied space – where her vision would be on display in pigment, oil or acrylic for evermore for all to enjoy.

The artist could already see her finished masterpiece. As if the picture had miraculously painted itself. Without anything left to imagine, conjure, or deliberate she began.

Un-(der) inpired
It was all right there in living, er um, cold dead colour. All she had to do was slather it onto the wintery whitewashed space in waiting. She pulled out the widest brush in her kit, dipped it into the first colour, white, and painted a perfectly straight line across the top of the canvas. She dipped her brush again and repeated, the same thing over and over, with the precision of her first strokes until she has covered the entire canvas. She felt satisfied, but did not have time to admire her work for long. There were 29 more canvases to cover just like the first one. She smiled, sighed, dipped her brush, and started on the next one.  Yet, with a pallet of colours and brushes at the ready, the artist only knew how to paint with a single brush and to use white paint to do her work.

http://kaboompics.com/one_foto/880/brush-painting-the-white-wall CCO License

Under pressure
Does teaching ever seem like this to you? Do educators feel they are asked to paint blank canvases everyday, but are only given one wide brush and a single colour to work with? I wonder whether that is how some teachers have come to feel when a learning system is imposed on them which expects students to be taught to the test?

Teachers plan and prepare their materials to deliver a lesson much like the artist in the story above and in the end are expected to use the broadest brush and one shade of paint. What may be more disappointing, is that many only have time to paint one coat before feeling they have to move on.

Underwhelmed
I am not a huge fan of the traditional textbook. In fact I have called them “knowledge coffins” in the past. When traditional textbooks are at the centre of the instructional day, there is little option for learners to explore beyond its pages.  Yes, it’s all in there, but at what cost are other things and ideas being left out?

First, consider the cost of purchasing texts/licenses per class. Math books alone can range upwards of $1500 to $2000 for a class set per subject. What happens when the curriculum gets revamped like what has recently happened in Ontario with the French(2013), Health/Physical Education(2015), and Social Studies(2013). Could the money schools, boards, and government pour into photocopies and textbooks be used to provide Chromebooks for every student instead? Imagine the cost savings in paper alone. If we did this, every learner from K to 12 could be equipped with a productivity and research tool for the classroom at their fingertips? And, at home too if WiFi is available.

Unrepentant
I am a fan of adaptive and hands on learning environments. In the classroom, I want students to have a voice in how and what they are being taught so we can democratize education. I believe all educators possess the means/ability to transform and tailor their instruction to suit their students. What they need now is a safe place to do so and that’s an issue of system and school leadership.

JFK Paint by Numbers
JFK Paint by Numbers

To paint a portrait of the future, educators need to use the prescribed curriculum as a pallet filled with colours that is not limited to a paint-by-number task. However, many are afraid to use other, less traditional brushes and materials to paint their masterpieces because the outcomes might not look resemble or match work gathering dust on the walls.

Yes, there are things to be taken from the past, but the world outside our classrooms has not remained fixed in space and time. Neither should it remain static inside. The classroom must become a vibrant and connected place where students have access to, and be able to contribute to a world of knowledge.

This requires courage to happen. It requires time for others to understand, accept, and embrace. It doesn’t have to look perfect. The mess is an important part of the process.

Ask yourself what or who inspires you to take chances as a learner? What new idea(s) would you try in your classroom if you knew you couldn’t fail? Start by giving yourself permission to change things up in one subject area, and then go from there.

I’ll be here to chat if you want to talk more about how we can change the portrait of education to a landscape of creativity, differentiation, and encouragement.

In the meantime I have some brushes to clean.

Beverly Papove Outdoor Learning, Play-Based Learning, self reflection

Organizing the Flow of the Day

We have clocked in three months in our kindergarten class so far, and on the whole, my ECE partner and I feel there are some really strong aspects of our day – the outdoor learning blocks at the beginning and end of the day, for example, and weather permitting, outdoor time in the middle of the day for a small group activity (today it was raining and the puddles were the big attraction).

Since we are with the students for the majority of the day, the two of us have worked at creating a ‘flow’ to the day. Nonetheless, we find we are still constantly making adjustments to the classroom set up, to activities, and to the overall schedule. For example, we have trimmed our circle times considerably since our students sit as a large group for music and games in French with their two other teachers each day. What we occasionally do now is have a quick everybody-to-the-carpet for a regrouping or a message before an event or activity, with the time spent sitting limited to about one or two minutes maximum. Sometimes it is just a chance to have a ‘huddle’ for a reminder that we are about to do something together as a class – tidy up, wash hands, get ready to go outside, or line up for library. The message is simple and clear and helps the students prepare for a transition, and we have sometimes used it as an opportunity to ground the group if the energy has risen towards the rafters.

Considering that the model of Full Day Kindergarten (FDK) is mandated to reflect the structure of the preschool day rather than a Grade 1 classroom, we often have to remind ourselves of the board directive for a play-based program as we leave behind longer, teacher-lead, large group lessons. However, this can sometimes lead us to feel as if we are not adequately preparing our students for reading and writing activities in the Grade 1 program. Thus, we are at odds as to the delivery of our program – preschool exploration or preparation for seatwork using alphabet and number systems, or a possible blend of the two? (for insightful articles discussing this conundrum in kindergarten, please see, “The Joyful, Illiterate Kindergarteners of Finland” from The Atlantic, as well as the blog, “Why I Don’t Like Play-Based Learning.”).  

In our classroom, I guess you could say we have attempted a blend of large group circle time for music and games balanced with opportunities for individual inquiry and play-based (i.e. student-driven) learning. Keeping in mind that managing to get a whole group of jk and sk students to sit quietly in a circle while we deliver a lesson does not necessarily mean that the whole group will learn what we are delivering, we have found that we are more successful gathering a small group of students for a smaller, more intimate and focussed lesson where we can attend to and assess each one of them individually for a shorter amount of time. Expectations for group learning are still met and we can easily target what we want to achieve. To do this, we have designated a floating time during an exploration time block where we will invite a few students at a time to come and visit us for a short activity or task. We try to select the students who are ‘free’ to dedicate their attention to the activity, that is, those who may be travelling from one centre to the next, or those who are just finishing up a snack, so that their play is relatively uninterrupted. We have found that when we are set up for a task we regularly get visits from other students who may not have been invited but are curious as to what we are doing and ask if they can join in. As we observe them, we can see that this curiosity and voluntary participation is ideal to include on a report card as evidence of Problem Solving and Innovating.

So while we seek to achieve a balance between true, play-based learning and the expectations of a program ‘aligned with the curriculum’ in our classroom, my partner and I feel as if the flow to our day has genuinely begun to reflect the most positive aspects of both, offering the students as many opportunities to learn how to learn.

Mike Beetham Before School Starts, Celebrating Success, General, Inspiring Teachers, self reflection, Start of the year

Dear Teacher

This is an open letter to all teachers across the world no matter what your role. This past summer I was part of a campaign entitled ‘Project Hero’. Teachers and students from across Canada wrote to teachers in Sierra Leone celebrating the extraordinary courage and resiliency they demonstrated during the Ebola crisis in their country. My team and I were able to hand deliver over 300 letters to teachers from all regions of that country. In continuing with this campaign, I am sharing a letter from me to teachers around the world.

Dear Teacher,

What words describe a hero? One might say kind, super hero strong, courageous, resilient, compassionate, generous, self-sacrificing, trustworthy, gracious, fearless and loyal (only to name a few). Each and every day you demonstrate these altruistic characteristics in so many ways that make a difference for the students you are entrusted with.

Yet, your tireless efforts are not celebrated in books, movies or on the television. Your efforts are not worthy enough to make the evening news or local headline. There are precious few times when even a thank you is shared. That is what makes you a hero. You are not seeking public fame. You are not trying to get unlimited likes on social media and you do not seek out recognition of any kind. You simply do what you do because it makes a difference in the life of a child and ultimately the world in which we live in.

I have had the honour of being a teacher for thirty-one years and am ready to start another voyage in the life of a group of children. I am honoured and humbled to be in such a noble profession working with heroes like you each and every day. I wish you the best in this school year and will say thank you in advance for the many, many heroic acts you will carry out on behalf of children around the world.

Humbly yours,

Michael Beetham

https://www.youtube.com/watch?v=QDVECWcYtjc

P1060687   PS – please share this video with a hero you know

– this is the moment some of the Sierra Leone teachers

received their letters

Will Gourley Celebrating Success, Challenging Topics, General, Inspiring Teachers, Making a Difference Through Education, self reflection, Year End Activities

Start strong. Finish stronger

I write this post as a tribute and thank you to all educators who breathe inspiration into the lives of their students and into one another from September’s strong start to June’s stronger finish.

This post is the completion of a promise after a response reminiscent of a rant  written to address comments in the media about educators. In the spirit of warmth and fuzziness I’ll keep my word(s) positive.

You did it!
10 months in the books, out of the books, torn away from the books, and complete with several second looks. From field trip bookings and to figurative (text)book burnings the school year sparked a 5/6s of a year long fire of growth. And now, as the embers cool, the ash settles, and the warmth fades another year of memories will linger as ember in the mind to be stoked again soon.

Does anyone else feel the same way? I do and know that I’m not alone on this one.

This year, my seventh, which I am privileged to witness many intellectual and life fires lit, fanned, spread wildly, and occasionally control burned. A feat, I am sure, that was accomplished throughout millions of classrooms around the world thanks to incredibly caring educators like you.

Imagine that you were part of the transformation, edification, and education of a student. You helped someone, or several someones, be a part of something, achieve something or realize something they’d never known before? Could there be a more noble calling?

When students arrived in your classroom last September, they were rough around the edges, unsure of what was to come, carrying some of the baggage from the previous year, and full of energy (nervous and otherwise). And from that you set out rough around the edges, unsure of what was to come, carrying some of the baggage from the previous year, and full of energy (nervous and otherwise).

There were times, too many to mention (reports, parent meetings, phone calls, bombed lessons, planning lapses, sick days, and life in general) that required us to dig deep into our vaults to rise above, resolve, and retain our raison d’etre.

And now?

Rest, raise a toast to one another, as I do to you because you started strong and you finished stronger.

Cheers! Santé! Gom bui! Kampai! Prosit! Djam! Mabuhay!
Thank you for the inspiration.

Will

Tisha Nelson Constant Learning, General, self reflection, Year End Activities

Revise, Refine, Reimagine

Although sometimes I would rather have a balanced-calendar school year, where summers were shortened and more frequent breaks are embedded throughout the academic year, the two months off that a 10-month school year calendar is still a welcomed experience. The structured close of what often is an intense year of teaching and learning, affords us the opportunity to touch the reset button, as it were, and engage in some meaningful reflection about how to continue the journey forward.

For me, this is one of the most difficult times of the year where my focus is consistently being challenged. Engaging in year-end activities (i.e. report writing, school celebrations, etc. ) while at the same time anticipating the year to come (i.e. new teaching-assignments, classroom moves, etc.) pulls my attention is so many directions that I find it hard to stay present and in the moment. My mind is constantly racing ahead as I would honestly rather engage in the year-end clean-up of my classroom as the thrill of reorganizing my “stuff” seems all too inviting. (Sidenote: teacher hoard WAY too many things…sigh…)

Reflecting on the year that was, however, is the best way to prepare for the year ahead. Intentionally thinking about the things that went well and the challenges that were grappled with can prepare you for a more focused year. The following is a framework for reflection that some colleagues and I have explored as we sought to address areas where we can improve in the work we do:

Revise: What were the things that didn’t work out the way it was intended to this year? Why was that so? How might you revise the experience so that it achieves the purpose and function that you had originally envisioned?

Refine: What went well this year that, with a few additional tweaks, could go even better the next time around? How might you refine your practice in ways that allows you to work smarter and not necessarily harder? What might be some efficiencies that you could employ that will allow your efforts to be stretched far and wide?

Reimagine: What possibilities might there be for aspects of your practice that you find stuck in your comfort zone? How might you embrace the spirit of innovation to reimagine possibilities that were once never an option? With the prevalence of technology and resources that support integrative thinking, what aspects of your practice might be opened to your imagination for radical shifts?

After engaging in thoughtful reflection the year forward can look so bright. With the natural starts and stops, we are compelled to be progressive as teachers. Here’s to closing the school year with a boom and beginning the new one with a bang.

Tisha Nelson Inspiring Teachers, Occasional Teaching, Resume Writing, self reflection

Resumes – Writing the Narrative of Your Practice

Next to journaling and writing for the Heart and Art blog, resume writing is one of my favourite ways to reflect on my practice. The process of communicating my philosophy of education and demonstrating how this plays out in the day-to-day ignites my passion for teaching and learning and reminds me of why I do what I do as a teacher.

Shifting one’s role, whether it be changing schools or position or seeking new experiences, is one of many ways that educators can embrace new learning opportunities and refuel their energy for the journey ahead. Embracing the stance of reflection when composing one’s resume is essential in this regard as it distinguishes candidates amongst a large pool of applicants. The following suggestion are some of the tricks I’ve hid up my sleeves in order to present myself as a strong candidate for the mirage of opportunities within the education sector. Why am I telling you this? I don’t know. But perhaps after many years of my unofficial resumes consulting, these tricks will prove useful in your journey.

1. Use a relevant framework. The Ontario College of Teachers (OCT) governs the teaching profession in Ontario and as such, using the OCT Standard of Practice as a framework for designing your resume structures the narrative of your practice in ways that align with the directives and outcome of best practice. Using the standard heading, Education, Experiences, Interests, etc., may serve useful in less specialized sectors, but as a profession, teacher resumes should mimic the framework that serves to structure our professionalism.

2. Show, don’t tell. I have read countless teacher resumes that indicate that applicants planned and taught lesson. But starting this task that on a resume is not distinguishing at all. Every teacher seeking an opportunity in education must have planned and taught lessons. A more effective way of demonstrating the scope of your practice is to paint the picture of your practice in action. This is where reflection is essential. Rather than telling what you did, show it using an affect-oriented narrative. “Embraced proactive approaches to classroom management in order to nurture a positive learning environment and foster a sense of community” paints a more intentional picture of teacher practice than “Created a positive learning environment.” The latter tells what was done while the former shows how it was done and explains why. What sets the two statements apart? Reflection that articulates the desired outcome of the action being described.

3. Treat the page like limited re-estate. Though not every posting for teachers may stipulate a maximum page number for the resume, I tend to stick to the standard 2 pages rule when applying for teaching positions. With over 7 years of experiences that seems like an impossible endeavor but by being strategic in my articulation I can demonstrate the breadth and width of my practice while maximizing the limited space of 2 pages. Being intentional about what to say, how to say it and where to say it can be fruitful in staying within the page limit. The key is to avoid repetition. Though you may have many teaching experiences that you want to display, be sure to be succinct about only demonstrating a particular aspect of your practice no more than once, regardless if it was something that you employed in other experiences. There are better ways to demonstrate your strength as an educator other than repeating yourself multiple times. Likewise, many resumes are accompanied by a covering letter which structure is very different than that of a resume. It is in your covering letter that your prose can come out in ways that will allow you to delve deeper into your practice. But remember, if you said it in your resume, use the covering letter to say something else.

So there you have it. My 3 easy steps for educators to engage in reflective resume writing. However you decide to engage in it, your resume speaks first, often before you are invited to articulate your vision and passion in person. Write it well. Write it with intention. Write is as a way to stay reflective. In the process you may be reminded, again and again, of just why you truly are an educator.

Shawna Rothgeb-Bird Differentiated Instruction, Diverse Learning Needs, Professional Learning and Growth, self reflection

My Experience With a Lesson Study

Last month, my Principal put out a call to the staff at my school: if anyone was interested in participating in a lesson study, she would make it happen. She had briefly filled us in on what a lesson study was at staff meetings, so this was not out of the blue. After debating for a few days, I submitted my name.

A lesson study, for those who aren’t familiar with the term, is a collaborative exercise in professional development and reflective practice. The team creates a lesson together, one teacher delivers the lesson while the others observe the students being taught, and afterward the team discusses their observations. The idea, at least in the case of my school, is to gain insight into how students engage in the lesson and which strategies yield the greatest results for our students. This allows us to reflect on our own practice and see where we can change some things to better help our students succeed.

The response at my school was great. We had enough teachers to run two separate lesson studies, one in Primary and one in Junior. I volunteered my class – a busy, but lovely, group of thirty Grade 4 students – to be taught by another teacher. We planned a lesson related to our School Learning Plan, an annual goal set each year to target our students’ areas of greatest need. Our lesson would teach students about word choice and words with “swagger” (also known as juicy words, to some). We spent half a day setting up the lesson, talking about the students, and deciding which strategies the teacher would focus on using in the classroom.

Two days later, I gave my students a little pep talk, explaining that there would be a teacher delivering a lesson to them while other teachers watched from the sidelines. They thought it was a little weird, but I’m a pretty weird teacher already, so they were ready to roll with it. When the lesson study team arrived, my students got a little weirded out; suddenly there were six adults in the room, including the Principal and their homeroom teacher, and they were clearly feeling like they were under a microscope.

As soon as their teacher – we’ll call her Ms. J – arrived, though, they forgot all about the rest of us. She walked in with spaghetti in her hair (an activation moment for them, as the poem she was reading to kick off the lesson was all about spaghetti) and they immediately needed to know what was happening. She jumped right into the lesson, keeping my students’ attention the entire time. I still don’t know how she did it, but I’m so glad she volunteered to teach the lesson.

While Ms. J was teaching, the rest of us on the team were watching the students, not her. We kept notes on what we noticed – who was fidgeting, who was responding to the strategies Ms. J was using, how the students interpreted the questions being asked, how they interacted with the teacher and each other during the lesson. While the students worked in small groups later in the lesson, we flitted about the room eavesdropping on their conversations, listening to how they interacted with one another. It’s rare that I get to see my students being taught by another teacher, so this opportunity to really focus on them was great.

After the lesson, we had a few hours to chat with each other about our observations. It was interesting to see how we all took notes on very different things, but the take-away from our observations was always the same. That conversation after the teaching was finished was arguably the most beneficial PD that I have had in years. The conclusions we came to, which I’ll mention soon, have had a significant impact on my teaching since participating in this exercise – because we saw just how well the students engaged with and understood the lesson.

So what did we learn?

Our biggest take-away was the idea of intentionality. Everything the teacher did in that lesson was intentional, from walking in with spaghetti in her hair, to the poems we chose for group work, to how we built the groups. We had discussed the class beforehand, so she knew which students might have difficulty focusing and she was able to work things into her lesson to grab and keep their attention. Because of the work we put in during the planning phase, there was no wasted time in-class. Everything in the lesson was there for a reason. Being that well-prepared for the lesson meant that during the teaching part, Ms. J was able to adapt on the fly while still sticking to the learning goal.

Another thing we felt was really beneficial was having the learning goal stated explicitly for students at the outset of the lesson. During the lesson, Ms. J would frequently refer back to the stated learning goal any time it seemed like students were drifting off-course. When it came time for them to work in groups, every group knew exactly what to do because they were so in-tune with their goal.

The last thing I want to mention is the idea of letting students engage in the lesson without “judgment”. In order to explain what I mean, I have to give a brief example of what happened in the classroom.

The class had read a poem together as a shared reading exercise. Ms. J then asked them to work with their neighbour and highlight four words in the poem which really stood out – words with “swagger” – and explain why they chose those words. She asked students to come up and highlight the words they had chosen directly on the poem. The first pair of students went fine; they circled a few words, explained their thinking, and returned to their seats. The second pair of students, however, started underlining entire lines of the poem. Ms. J looked for just one brief moment like she was going to stop them, but ultimately she let them finish without comment. In the end, this pair of students underlined four full lines of text, explaining that these four lines summed up the entire poem. As they explained their thinking, it became clear that for them, underlining four words wouldn’t really make the point they wanted to make. They needed all four lines, even though that wasn’t what they were asked to do.

If Ms. J had stopped them and insisted they choose only four words, their entire line of thought would have fallen apart. Instead, she let them do what they had to do without “judging” their response as wrong/a misinterpretation of the task. Because of that, these students were able to demonstrate their learning in a very clear, very comprehensive way. It was a really cool moment, and I suspect it doesn’t come across as well in text. You had to be there.

 

We learned a lot more than just those three things, of course. We still find ourselves talking about the experience weeks later, finding new things to get excited about and implement in our classrooms. If I get the chance to do another lesson study, I’ll jump on it – and I hope you will, too. It’s a great chance to collaborate with your colleagues and reflect on your practice.

Tisha Nelson Before School Starts, Constant Learning, General, Inspiring Students, Inspiring Teachers, Professional Learning and Growth, self reflection

What does it mean to learn? What does it mean to teach?

What does it mean to learn? For me, learning is the trajectory between not knowing and arriving at new understanding. What, then, does it mean to teach? Teachers have long been grappling with this question and exploring the best way to define this through the study of pedagogy.  Pedagogy is the method one engages to facilitate learning. It makes the difference between those who know a lot of information (content knowledge) and those who know how to skillfully craft learning experiences that will facilitate the acquisition or construction of information. Thus, to teach means to employ pedagogy.

So beyond big words, what does good teaching look like? This is something that I consistently reflect on to see  how much I’ve grown and developed as an educator. Seven years ago, as a new teacher, my enthusiasm around teaching revolved around how much knowledge I could share with my students. This was usually demonstrated by how much I spoke. Since then, my vision of teaching and practice of pedagogy has drastically shifted in that now I believe a good day of teaching takes place when my students do much of the talking and we all engage in the learning. Effective teaching, though ultimately reflective of student learning, is the intentional construction of experiences that invite curiosity and nurture the construction of new understandings. In other words, good teaching nurtures the conditions necessary for learning to occur rather than the teacher saying a lot of “stuff”.

As a math teacher, I get excited when learning opportunities arise that provokes dissonance and ignites curiosity. The careful blend of the familiar and not yet known motivates students to embrace challenges that have a low threshold but a high ceiling. Students are engaged in a real life problem that causes them to arrive at many stumbling blocks of previous understandings and must harness perseverance in order to proceed forward in constructing understanding. In such cases, I often encourage my students to “embrace the struggle” as the the inverse reaction to dissonance is learning. This way, students become motivated learners not because of a sticker or a final grade, but simply for the joy of learning.  Bottle up this experience and you get good teaching – the intentionally crafted growth-opportunities nurtured by teachers. These experience don’t happen when teachers do all the talking, these things happen when teachers allow students to experience their own journey between what is known to that which is understood. This is what it means to learn.

Beverly Papove Constant Learning, Inquiry, Outdoor Learning, self reflection

Stewardship/Sustainability in SK

With our winter inquiry coming to an end, the biggest challenge in my mind was how to facilitate the opportunity for my senior kindergarten students to use what they have learned so that they can become valuable stewards of the planet.

To provoke an understanding of the need to care for and respect the environment which related to our winter inquiry and hoping the students would automatically spring into action, I wrote a note from the creatures the students have observed living in and around our schoolyard. In the note, the creatures complain that the snow is so dirty, that it is making them sick: “Chers Amis, Our homes are not healthy any more! When the snow melts, the water we need to live is making us sick. Many of our friends have already left to find a cleaner place to live. We don’t want to leave! Can you help us? Signed, your friends – Earthworm, Chickadee, Rabbit, Crow and Cardinal. I folded the note and tucked it into a space between the bark and trunk of one of our maple trees growing along the fence in the schoolyard.

During the morning Outdoor Learning period, we started off the lesson with a turn and talk activity to review some of the things we learned about What Happens in Winter. Information flowed as the students chatted with their peers. When they had finished, I gave them the challenge of looking for and finding evidence of living things in the schoolyard. I was beginning to wonder if anyone would find the note, when finally, a group of students came running back, all talking loudly at once about something they had found in a tree.

I gathered the students together and read the note aloud to them, ending it with the question, “What do you think?”  They turned and talked with their neighbours excitedly. “Rabbits can’t write!”  “Yes they can.” And about the message of the snow being unclean; “It’s true! There is sand in the snow. I can see it.”  “Snow looks clean but it’s actually really dirty.” Others mentioned the microbes and the dirt from cars as well as the dogs that dirty the ground. So I asked, “Can we drink the water if we melt this snow?” to which came the answer, “Ewww! No way!”

At this point, I was hoping the students would acknowledge that humans played a part in the messing up of things and that, consequently, it was up to all of us to stop it. However, I was quickly made to realize that, of course, how to clean up the planet is a gazillion dollar question that nobody can fully agree on, let alone a group of five year olds. At this age, they are very capable of figuring out how to help in such a situation, one animal at a time, by giving a bowl of clean water to drink, which is what they do for their pets at home. And what did I really have in mind as far as stewardship goes? Petitions? Posters? Protest marches? It became clear to me that rather than ask HOW we might help the creatures, a better question was, WHAT IF? So I started over again, asking them, “What Would Happen If There Were No Winter?”,  and I explained that, “There is something called Climate Change which is making our Earth warmer than it should be. Scientists think this is happening because of pollution caused by people using cars and airplanes to travel around, and building factories to make things.”

At first, the group was rather quiet, but then one of the students made the comment that a warmer Earth meant that the snow would melt. RIght away, more students began to add their thoughts as a conclusion began to form itself:

“If the snow melts, then the polar bears would have no home.”

“And the seals and foxes, too.”

“There would be no habitat for the animals.”

“All the animals would lose their habitat and then they won’t have anything to eat.”

“Their habitat is broken and the animals would get dead.”

Losing habitat is something the students could visualize and understand, and so I was able to ask them, “How do you think we can be habitat helpers, then?” They were so happy to articulate how they have bird feeders in their backyards, how they compost and recycle garbage, how they plant gardens with their families, and how sad they are when they see destruction of habitat such as trees being cut down, or dried up worms on the pavement. While five year olds may not independently engage in activism on a large scale, when we finished this inquiry, many of them realized that they already do have a positive impact on the environment. My own learning came when I had to acknowledge that Stewardship and Sustainability in an SK classroom are, of course, tied very closely to the five-year-old developmental stage and the way children at this age perceive the world, with themselves firmly at the centre of it all. I was reminded that everything does, after all, start with the individual.

Tisha Nelson Challenging Topics, Diverse Learning Needs, English As Second Language (ESL), English Language Learners (ELLs), General, Making a Difference Through Education, Math, Questioning, self reflection, Social Justice

Is Math Neutral?

The notion of neutrality speaks to the experience of being impartial or unbiased. It speaks to the absence of asserting value, power or privilege over another or the act of being impartial, unprejudiced and nonpartisan in nature. There are many areas of teaching and learning where the existence of prevailing politics is named and sometimes challenged: Whose stories do we include in the social studies/history curricula? What literature is considered to be the cannon? What art forms are considered cultured? But when educators think about the tapestry of math education, this notion of it being neutral tends to be widely agreed upon because of the perceived objectivity and absolutism that characterizes the ideas that are explored. But I wonder…is math really neutral?

“Math is about numbers. Surely it is neutral.”
This year, in supporting English Language Learners in math, I have learned many new Mandarin and Cantonese words from my students. More specifically, I’ve learned the inherent ways that Chinese characters are written to nurture a conceptual understanding of quantity. For example, the number eleven is written 十一 which means “ten-one” or can be understood as “ten plus one”. Similarly, the number twenty is written 二十 which could be understood as “two tens” or “two times ten”. Finally, the number thirty-three is written 三十三 Which could be understood as “three ten and three” or “three times ten plus three”. The fact that the word for the number eleven, when represented in English, has no relationship to the the concept of quantity speaks to the way numbers are represented are not neutral. This discrepancy in language representation speaks to the biased nature numbers are conceptualized through language. Thus proving an inherent bias in the ways in which numbers are conceptualized and number sense is acquired. Similarly, the bias toward English representation of numbers can limit the conceptual understanding of languages that represent numbers in a more conceptually friendly way.

“Math is about problem solving. Every has the capacity to solve problems.”
Consider the following problem: Brandon travels to the city using the subway. Each car seats 30 travelers. How many people might be on the subway if there are 10 cars? What background knowledge might students need to have in order to understand the context yet a alone respond the the problem mathematically? While the problems we pose to our learners may involve numbers that can be calculated and manipulated in flexible ways, the context, when coming from particular experiences, can deny access to the learning that needs to be achieved. In other words, if the context from which we invite students to explore math concepts can be carefully crafted in order for our learners to be able to relate to the ideas, they can also be unintentionally crafted in ways that could limit students access. In this way, contexts are never neutral because they come from a particular place of knowing or experiences that not all students have access to.

So there you have it. I’ve explored two very simple ways bias is experienced in math discourse. The presence of even one form of bias discredits the neutrality of math. If math, a lens for viewing the worlds through numbers, shapes and patterns, can be ladened with bias and politics, what else about the schooling experience share this similar trait?