Connecting Area and Perimeter to Art-Piet Mondrian

Whenever possible, I search for ways to integrate the curriculum to create deeper learning opportunities for students and connect to the world around them.  It has always been easy to make connections between geometry and art.  Measurement and art wasn’t something that I had integrated much before.  However, in working with my Teacher Candidate from the Trent University Faculty of Education program, we were excited to see what the students would create.  It only goes to show you that when teachers are able to work collaboratively, wonderful programming ensues for students.

We have been working on perimeter and area for a little while, but students were still having trouble figuring out the difference between the two concepts.  We started by giving the students 9 square tiles.  Students were asked to create a 3 x 3 array of square tiles and determine the perimeter and the area.  The perimeter was determined to be 12 and the area determined to be 9.  From there, students were given a number of different challenges to reduce the area but maintain the perimeter of 12.  The challenges grew increasingly difficult.

1.  Reduce the area by one square unit but maintain the perimeter of 12 units.

2.  Reduce the area to 7 square units while maintaining the perimeter of 12 units.

3.  Reduce the area to 6 square units while maintaining the perimeter of 12 units.

4.  Reduce the area to 5 square units while maintaining the perimeter of 12 units.

5.  Reduce the area to 4 square units while maintaining the perimeter of 12 units.

6.  Reduce the area to 3 square units while maintaining the perimeter of 12 units.

After having the students share their different solutions we thought we would show the students artwork that Ms. Marchiori created inspired by Ellsworth Kelly’s “Colors for a Large Wall”.  In a guided math lesson the students figured out the area and perimeter of different parts of the artwork.  The way in which students figured out the answers to the area demonstrated that they had a much better understanding of the difference between area and perimeter than they had previously.

artworkmath                   artworkmath2

 

At this point, we wanted to get into the artwork and considered the work of Piet Mondrian.  Piet Mondrian is famous for the work that he created using primary colours, horizontal and vertical lines and squares and rectangles.  Perfect for working with area and perimeter and for incorporating the different elements of art.

Ms. Marchiori showed the YouTube video of Piet Mondrian’s artistic life in a nutshell.  Afterwards, the students then created their own Mondrian inspired artwork using chart sized grid paper (6’X6′) and crayon.  To continue our math focus, the students then had to calculate the area of each of the colours that they used and write that on the back of their art “plan”.  From there, the students used acrylic paint on canvas with grids drawn in pencil to recreate their “plan” for their art.

artwork3 artwork 4 artwork 1

A few of the finished artwork samples;

IMG_4067  IMG_4065 IMG_4064

This artwork would also connect to fractions.  Students could express their colour content in a fraction, reducing it to it’s simplest form and then compare which colours covered the largest fraction of the area of the painting.  When the artwork is complete, the students will be adding an artist’s message about what they learned during the process about area and perimeter, about the elements of line, colour and shape and about Piet Mondrian.  This week we will be creating Mondrian inspired artwork while exploring balance and colour in art using much of the same grid technique but with the medium of crayon resist and watercolours.

 

It’s like September all over again

via izquotes.com
via izquotes.com

Have you ever walked into a classroom and did a double take? Trying to gather your bearings, did it feel as if you’d been in that exact same spot and the very same moment before? I know it’s happened to me and wonder if other educators feel this way?

Returning to the classroom in September can be like this. The faces are different, maybe even the school, but there are connective currents running through time and space that signal you’ve been there before. I am reminded of a hall of fame quote by Yogi Berra, “It’s déjà vu all over again.”

This September, I started at my 4th school in 9 years. I could not be more thrilled joining a new family of learners and educators. Of course, I miss my old schools, but as I’ve written before, we have to move on to grow in our professional practice. This year was no exception, even after 3 amazing years at my former school.

Unsurprisingly, since the first bell on Day 1, things have been occurring at the speed of learning. Meeting my students/families, observing them interact, and watching them navigate our classroom for the first time. I’m never sure who is more anxious on the first day, parents, students or me?

To this teacher, the first week of school is like a three-way collision between energy, ideas, and awkwardness. I love walking into a new building and asking students to help me learn directions and routines. On more than one occasion, a student will ask, “Aren’t you supposed to know this?” I reply, “Maybe, but it’s more fun to ask. I’m new.”

What I’ve seen over my  first 9 Septembers

After 9 first days of school, some things have not changed. September is a time when everyone is (re)acquiring their routines and rhythms. Everyone is trying to put their best foot forward – almost. Depending on their Summer, the most reticent learners and educators might still require an extra week or 2 to get up to speed. We need to avoid the rush to establish out of reach expectations. There have been a couple of years where I struggled to find my groove. I have found that the first few weeks are like a contract negotiation. Everyone is trying to get what they want out of the deal, and it takes time to hammer them out.

Each year I enter our, not my, classroom with complete trust that students are there to be awesome. Empowering them and presuming best intentions have always been great places to launch an important year together. Bringing students into the conversation and decision-making process, from the start, allows for long-term success based on understanding and mutual respect.

This happens in our classroom in a number of ways across a number of days.  Students are asked to take chances, make mistakes, and be unafraid to fail. It asks us all to become comfortable with discomfort, feeling safe when vulnerable, and knowing everyone is respected and valued. If a space for this has not been created in my classroom, then there will be a risk of starting off on the wrong foot. Taking the time to create a consistent and caring class culture will ensure a cohesive committed community for the whole year.

What I did over the Summer

As a kid, it seemed that every start of the year writing assignment was a retelling of my summer. This was usually followed up with a presentation in front of the class. I am not sure whether this was an act of sadism or masochism for the teachers who assigned the task, and then had to listen as each one was shared. All I remember is that the act of recalling my summers and the subsequent in-class attention were boring for me too.

As I enter the classroom, I vowed to change this. I have asked students to share what they’ve regretted about their Summer, or what they would do over and change. We hold off on presentating” in favour of peer sharing where volunteers are asked to read a few highlights that stand out after reading their classmates’ work. I’ve found that using 6 Words Stories as a great introduction exercise.

This year I had students write their own and then write one for their seat partner. *

Build flexibility into your planning

Beware of over planning. Yes, some planning must be done. Preparation is important, but a measured approach is best. Over planning  has been, and continues to be a mistake I make. However, when plans go uncompleted or go off course, I am not going to count it as a loss. There needs to be time built into our work for the second and third questions. Sometimes students have more questions than we have answers. Yes, it takes away time from your plans, but the relationship building established through it will become invaluable going forward. Give yourself permission to go off script. The students will appreciate the spontaneity.

Noise

As part of classroom routines and noise management, I have heard classics from, “Hands on top. That means stop.” to “Un, deux, trois, les yeux sur moi.” These work well with JK/SK and primary classes, but tend to aggravate the more sophisticated learners in the Junior Panel.

I use a number of noise makers, ranging from a wood block shaped like a pig, a rain stick, and a guira Each is strategically placed about the room to access as needed. They are used to draw students back from their independent or team work. I also have a spot in the class where I will wait for students to come back to hear further instruction or feedback.

Another ‘attention-getter’ to consider is something shared by Paul Solarz called “Give me 5!” I love the power this places in students hands along with the responsibility to be relevant and engaging as they capture the room to share their ideas.

Having a wide variety of tools in the kit have allowed each of my 9 first days of school to begin memorably and effectively. Of course there are bumps and tweaks to be made along the way, but that ads to the joy of the job. As each year brings us a unique set of lives to discover, equip, and watch flourish.

Thank you for reading this post. I look forward to sharing with you again this year. If you have any questions about the resources or strategies shared please message me below.

*Which 6 words would you use to share your story? Feel free to share in the comments section.

Empowering Young Mathematicians

I’ve always been a lover of Math. Even when I wasn’t particularly strong in a specific area, I always loved the thought of calling myself a Mathematician. Now I know it’s a huge leap from loving the subject to ascribing to being a Mathematician but hear me out for a minute. As many of my friends may know, I love Google so I thought I would ask my good friend for the definition and here’s what I found.

Screenshot 2017-09-24 at 9.39.37 PMMagically, this definition empowered me to realize that I too can be a Mathematician simply by being a student of Mathematics. It didn’t say that I always have to excel in all areas. It simply says that I have to be a student. Now for the definition of student. Ok Google….

Screenshot 2017-09-24 at 9.40.06 PMI’m going to go with the last definition. A person who takes an interest in a particular subject.  So after much searching, I think it’s safe to embrace the term. The question is, how do I get my students to do the same?

Inevitably, when I ask my students to tell me about their Math experiences, there are many who already describe themselves as being “not good at Math” or state, “it’s too hard”. My task then is to reframe their experiences with Math, encouraging them to change their outlook.

At the beginning of the year, I’m always looking for new ways to engage my students in Math tasks as my assessment for learning. For the last couple of weeks, we have been doing Which One Doesn’t Belong activities and I have been asking my students to use Mathematical language to justify their answers. After a few rounds, one of my students started laughing and said, “there’s really no wrong answer so long as you explain what you are thinking”.  It was interesting because it didn’t occur to many of them that there may be multiple possibilities to answering these types of questions.

Screenshot 2017-09-24 at 10.04.02 PM

This got me thinking and asking myself:

  • Is this what holds our students back from realizing that sometimes engaging in Math isn’t just about getting the right answer but exploring different pathways to finding solutions?
  • Is Math about allowing students to explore the different concepts and seeing where these concepts intersect or are useful in everyday life?
  • Can we reframe Math for our students so that they realize that so long as they take an interest in it and persist as students, they too can be Mathematicians and that it is not only about “being good at it”?
  • On Friday we were coding in Scratch and words like values, angles, turns, length were coming out. Isn’t that Math? Can we explicitly teach the concepts and empower them to create using them?

Ms. Lambert, the self-proclaimed Mathematician, is on a mission this year to work with students to empower them to embrace Math just a little more. I’ll keep you posted on our journey!

Emotions, Context and the Reluctant Writer

One of the biggest challenges I face is getting my students to enjoy and take risks with writing. Too often they get bogged down with the fear of not knowing what to write or nervous about experimenting with vocabulary they do not know how to spell. There are two critical approaches I take in helping my very reluctant writers to engage in the writing process. The first is to help them understand the stages of writing (Idea, Plan, Draft, Edit/Revise, Publish and Share). Each stage is explored and its purpose discussed and demonstrated in multiple ways. Once a student understands that the edit/revise stage occurs after you are able to get your ideas, thoughts and/or feelings into print form they become more likely to take risks in getting their ideas out. When they give themselves permission to let their ideas free flow without word-by-word critiquing, the quantity and quality of their work improves. A completed draft version allows them to separate I have good ideas and can write from I need help in making sure my writing is correct and ready to share with others. I also experience a huge drop off in the question “How do you spell _____________”.  That focus typically grinds the creative process to a complete halt.

The second element that greatly assists me in helping my reluctant writers is to as often as possible design a writing focus around an event relevant to their life. This may be something going on in their school community like writing a persuasive writing piece on allowing students to wear hats in school. It may be a news event from their community or a global situation that will help connect my students to a bigger audience.

Several years ago when the Chilean mining catastrophe occurred we had taken time to have it as a part of our morning circle conversation. That lead to a brainstorming session on what might we do to help out. The final decision was that we could write letters of support to them.  I found the address to the Chilean Embassy in Ottawa and we mailed our letters to them. The power of the contextual relevance automatically tapped into their emotions. When emotions are involved in the learning process the lesson, the message, the focus becomes more consolidated in their cognitive realm. A magical bonus on this project was that my class received a letter from the Chilean Embassy acknowledging our letters and honouring the efforts of my students. Our next writing unit was accepted with little or no resistance.

Cultivating a culture of creativity

Recently, I was asked to explain my vision on how to cultivate a culture of creativity in the classroom. After a few moments of reflection came this response.

From the moment that a student enters our classroom fostering a culture of creativity requires 3 key things; fearlessness, fluidity, and failure.

IMO, these 3 are inextricably linked in my classroom. As lead learners first, teachers are crucial to a successful culture of creativity as they model fearlessness to students in our own approaches to learning. When students see their teacher unafraid to take chances and make mistakes, they too will be emboldened to do the same as they approach the new and unknown.

Establishing this in a classroom might require teachers to become Pirates as Dave Burgess shares in his transformative book Teach Like a Pirate. This requires complete commitment and patience. Remember, it’s about the process not the product.

This requires flexibility to escape from what is fixed within a text book, a single narrative/point of view, or schema. A classroom must be a fluid space where the way must be tried (tentanda via), but if it is limited to merely the information provided out of ivory towers; when and where will students have an opportunity to challenge it?

If we want a culture of creativity, we must allow room in our instruction to critically consider/falsify(as Scientists would according to Popper) what is being taught. This takes a mighty courageous educator who is willing to let go and share “power” with students.

FailureFinally, for cultures of creativity to occur, a FAIL mindset is needed. FAIL is a wonderful acronym for First Attempts In Learning. We celebrate failure in the classroom because there is still something learnt in the attempts at something. When students feel safe to learn, try, and supported when they fail then they will be strengthened to extract the lesson, unlearn, relearn, try again, and repeat as a natural part of the process.

Some tangible examples of this in my class have come in my Electricity unit where we have been trying to make a fully functioning replica of BB-8 from Star Wars: Episode VII The Force Awakens movie. IMG_0131Throughout the process we have ideated, iterated, learned, adjusted, tried again. Instead of disappointment after an attempt or apparent failure, there is opportunity to rethink and try again.

Students empowered with a mindset of fearlessness in a flexible environment are bound to be invigorated and engage in their learning/tasks with their creativity emboldened.

I believe these 3 things to be at the core of innovation in education and have worked to embody them in my personal practice.
ps If I was to share a fourth item it would be that a culture of creativity is messy. Often, no path exists and therefore students must blaze their own trails. With the right attitude, the mess and muck of learning and creativity mesh to form a ‘lit’ learning environment.

pss – George Couros is the current godfather of innovative practices in education. He is a brilliant and gifted communicator who shares a passion for education with the world. His book the Innovator’s Mindset is on my reading list and I’d encourage you to add to yours.

If you want to continue this conversation about innovation or to share how you are innovating in your learning space, feel free to share in the comment section below. Thank you for reading. Will

Helping Children with FASD in Your Classroom

Many years ago, when I was in Teacher’s College, I did my practicum in what we could call today a ‘systems’ class. I worked with several students with Down’s Syndrome, a few with non-specific developmental challenges as well as some students who were identified as having Fetal Alcohol Syndrome (now called Fetal Alcohol Spectrum Disorder). This was the first time I learned about FASD. What we learned was very basic. We were told that there were certain facial features which might help to identify a child with FASD and some unpredictability in behaviour, but other than that, I do not recall learning, in practical terms, how to meet the needs of such a child.

Fast forward to today, and I am far more familiar with ADHD (Attention Deficit Hyperactivity Disorder) and ASD (Autism Spectrum Disorder) in the classroom than I ever was with FASD – for some reason, it seems it’s just not something we talk about or receive in-service training for. Then last week, I became enlightened by a workshop which helped explain how damaged a developing brain of a fetus that is exposed to alcohol in the womb can become, and what we as educators and caregivers can do to help children affected with FASD. As I heard more about the characteristics and strategies associated with children with FASD (Important to note: the majority of individuals with FASD do not have facial features associated with the disease, hence it is considered an “Invisible Disability”), I became excited about the possibility of fresh interventions that I could use to help some of my students, who, although do not have definitive diagnoses of FASD, still present with key behaviours such as memory deficits or impulsivity.

Some of the key points which have helped me readjust my perspective as I “put on an FASD lens”, I have taken from an information package provided by the Fetal Alcohol Resource Program (Citizen Advocacy of Ottawa). I highly recommend becoming more familiar with the condition because the strategies are relatively simple to employ and can be supportive not only to students with FASD but to any student struggling with behaviours in your classroom. A video entitled, Dear Teacher is also included in the package and serves as a gentle reminder of how we need to treat those of our students who face challenges which may be difficult to understand. I have found these useful reminders at a quick glance, but there is so much more that can be learned about FASD.

The chart below is called, “What FASD is NOT.” I find it particularly useful as it clarifies the ways certain behaviours may initially be perceived, and how, through a different lens, they should be understood.

                                    We NEED to shift our thinking

From Seen As….. …To Understand As
Won’t Can’t
Bad Frustrated, Challenged
Lazy Tried Hard
Lies Confabulates/Fills in
Doesn’t try Exhausted/Can’t start
Mean Defensive/Hurt
Doesn’t care Cannot show feelings
Is a problem Has a problem

With a few upgrades in our approach with one of our students who has had particularly challenging behaviours, my teaching partner and I have already noticed an improvement in the child’s independent learning, interactions with peers, and response to direction. Some phrases we have found useful reflect the intent of some of the examples provided in the information package; “I can see this is tricky for you. We are going to solve this later. Let’s get a drink of water.” (patience and redirection) ; “Let’s figure out a better way for next time,” (support rather than punishment); and, “Come here. It’s OK.” (no matter what you do, I am here for you).

At this point, we are by no means specialists in FASD, but we are willing to learn as much as we can as we continue to see positive results. As educators, we all use patience, consistency, support and understanding, but with some of our students, we may need to use a little (or a lot) more.

Options

My grade five class is almost done their perimeter and area unit. At the close of this unit, I was having trouble deciding what the best option would be, a project or a test. I decided to present both options to the class and then let them select which one they should do.

I then had an issue with letting students who had received an “A” on their reports not do both. I wanted them to challenge themselves by trying both since they had achieved such a high mark on their report card.

Some students reacted very negatively to this thinking they wish they had received a lower mark. I on the other hand, tried to explain to them that since they had such a high mark on their report, they have proven that this unit is not a challenge to them so they should challenge themselves by trying to take on two activities.

It was interesting how many students chose to take the test over the project. I for one, HATE tests and as a child never enjoyed spending time after school studying for them. As a teacher, I dislike giving them as well because they do not offer any creative elements for the child who is writing it. So when some of my students chose the test over the project, I was rather shocked.

I am happy I gave my students the option because I loved seeing students debate over both and then finally arrive on their final choice. I think that when I was in university learning about choices for students, I never really understood the feeling over power it would give my future students. It was amazing seeing them weighing their options and I am happy I was able to give them that feeling.

Student surveys

If you haven’t had your students use google forms, the survey creator on google drive, then you must! Students will have the chance to create online surveys and administer them to anyone they want.

We took our data management project to whole new heights when they created a survey for a certain grade to answer. We were looking at student satisfaction in regards to clubs and teams available at school. The answers were shocking as sometimes 75% of  students in the grade were unhappy with the clubs and teams available to them. My 28 students were divided up among all the grades at school and each group surveyed the grade they chose to survey. We will now look at the results and try to accommodate to add the new teams and clubs to our school.

I also was able to survey my students using the same program, google forms. I asked them about the way I ran the math program, language program and drama program. They were able to check mark all that they enjoyed about each program. Here are the results for the math section:

  1. 11 students enjoy projects
  2. 9 students enjoy group work
  3. 8 enjoy math around the class
  4. 6 enjoy tests
  5. 5 enjoy lessons on the board
  6. 2 enjoy quizzes
  7. 1 student wants to learn taxes

This way, when I do my next math unit, I can plan for maximum student enjoyment. It is important to know how your students want to learn so that you can have the best learning environment possible.

Getting some perspective

The first time I really became aware that I was not in control of how other people saw the world was over 25 years ago when my mother was diagnosed with Early Onset Alzheimer’s at the age of 60. Before she got sick, like most families we would work together as a unit, going through our days with similar expectations of daily routines. When her decline became more rapid and evident, simple activities like stacking the dishwasher or opening windows on warm days caused conflict and stress. As she lost her ability to speak, the challenges were enormous for all of us – What did she want? What is she trying to say? Why is she doing that? Her behaviour was a puzzle for us. It was not until we began to try to see the world through her eyes that we were able to more often avoid stressors. We needed to stop thinking about our reality – opening windows on warm days was rational to us  – and start to see how open windows were a cause of anxiety for her. No use in trying to figure out why she became agoraphobic or hope for an improvement in her condition, it was enough to see that her world was turned upside-down and that we needed to realize this in order to be able to communicate with her on her new terms.

I was reminded of the importance of understanding that all behaviour is a form of communication when I attended an engaging workshop this week entitled, “Exploring Autism – The Elementary Years.” In one of the activities we participated in, the presenter encouraged us to consider the complexity, or puzzle as it was presented, of autism. The puzzle of autism refers not only to the fact that we have much to learn about causes and supports, but also to the fact that the disorder encompasses a variety of aspects from sensory processing and anxiety, to the developmental level of the child and their independence. After exploring the spider web of symptoms and strategies to help support children with autism, we were left with the central notion that it is a social-communication disorder; these children are definitely communicating to us, but the moments of intense frustration result from the lack of mutual communication due to the fact that we are not using the same language. A goal, therefore, is to try to see the world through their eyes so that we can better understand the stressors and be supportive when behaviours erupt.

In a classroom, we are constantly seeking perspective, not only for students with clinical diagnoses, but also for every behaviour that requires support and redirection. In one of my kinder classes, there is a child who experiences intense bouts of anxiety and fear of abandonment. She will often cry when we go on walks outdoors if she feels she is too far behind me or my ECE partner. We have learned that there is the possibility that she and her siblings are sometimes left alone in the apartment when their parent doesn’t come home at night. Knowledge of this possibility helps us to understand that what this child is feeling when she cries is not simply to attract attention, but is a symptom of a significant fear. In this case, we know the “why?” of her behaviour and this helps us find and implement supports at school. Taking her hand and walking with her is enough to allay anxiety at the moment and to build her confidence that we won’t abandon her.

Some behaviours, however, are harder codes to decipher and we are currently trying to gain perspective as a team into the possible reasons why one of our students is having serious toileting issues when this was previously not a problem. The fact that this child, who has behaviour issues as well, has been soiling himself almost every day for the past month when there are no evident symptoms of a digestive disorder, is the puzzle we are currently trying to solve. What are the reasons for his behaviour? What is he communicating to everyone? Despite our efforts to give him support and encouragement for positive interactions with his peers, why have none of the behaviours changed? We are sleuthing to be able to gain perspective into this child’s world so that we can give him the support he needs as soon as possible, and we are expanding our kindergarten team to include the administration and Learning Support Team so that we can gather some insight that might help us help him. At the moment, we have very little to go on, and we realize that our team of ECEs and teachers can see the result but not the cause of his behaviour. Doesn’t mean we are giving up, only that we have some work to do.

Ontario Student Record Search

Wow, we are already into the second month of this school year and I am not sure I really know my students very well yet. I have a working idea of who they are as students and as people but need to gather more information to help me with my programming. That is where using their Ontario Student Record (OSR) can help you gather further data to assist me  in this process.

I typically do not complete my OSR searches until after the first month of school so that I can establish my own opinion about them as learners. The OSR is a cumulative record of them as a student since their entry into the Ontario education system. It is a legal document that travels with them from community to community and school to school in Ontario. It is a valuable tool for any educator who is working with a student.

There is a wide variety of information that exists in a student’s Ontario Student Record. First and foremost are the provincial report cards from their time at school. It is here that a teacher can gauge where a student has typically performed in the various curriculae. In addition there is often a wide variety of other sources of information specific to that student. For example, there could be documentation around outside supports such as occupational therapy, early intervention, psychological assessments, legal documentation around custody, Family & Children Services involvement, suspensions, Individual Education Plans and Safety Plans. When you look at the back of the OSR you can see a history of whether a student has had a stable education in one school or whether their circumstances show multiple schools with little or no stability. I have had one student who was entering into his 8th school and he was only in Grade 4.

There is a combination of hard data as well as data that has a subjective component and is based on the interaction and opinions of adults. It is important to differentiate between the two. I am not saying you should discount in any way or ignore that data, but rather understand that the circumstances in which that data was obtained may have been affected by many outside factors. For the student who was entering into his 8th school, his OSR showed that he had difficulty making friends. That data was accurate but was also impacted by his inability to be in a single place long enough to establish friendships or the fact he knew if he did make friends, he would probably be moving soon.

The OSR search is most valuable to me for my at risk students. Students who I know come with challenges either from an academic or behavioural standpoint are the first ones I search, as they demand my attention immediately. When I have a firm understanding of what level of achievement my students are displaying I then look at previous report cards to help me. If for example a student is obtaining a lower mark in mathematics then what has been previously reported it prompts me to further examine my assessment data to ensure my determinations are aligned with my criteria.

It is important to familiarize yourself with the proper protocol of what goes in an OSR, who can access an OSR, where that OSR can be viewed and the responsibilities a teacher has in regards to filing information in a student’s Ontario Student Record. A really rewarding aspect of doing my OSR searches is that I get to see how they have changed over the years with their annual photo. I have attached a template that I use when completing an OSR search.

 

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