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Learning to swim

https://www.flickr.com/photos/eviltomthai/5129962638 CC By 2.0
https://www.flickr.com/photos/eviltomthai/5129962638 CC By 2.0

I remember laughing when our teacher taught us that fish swim in schools. You know how kindergarten students think, right? Naturally, I wondered which classroom at my school held the aquarium? Would dolphins be there too? Then came the cruelest lesson of all; dolphins are not fish. Why was I even there?

All these years later, I understand that we were the fish in that educational ocean. We were taught to swim in a school at school zigging back and forth as if in a constantly choreographed current. Sit here, read this, write this, stand here, go there, eat, play, run, think, solve this, and repeat.

We were learning to swim in our little school to survive life. Zagging in and out of the doors and halls from class to class like small fish between coral reefs and vegetation.

We swam for all of our might and soon discovered 2 things; the current kept getting stronger, and that danger was always lurking in the water. Without learning to swim, we were at risk of being singled out, devoured, or even worse, drowning. Yup, fish can drown…kinda.

The reality that fish can drown(suffocate) makes me think that even when students seem like they are swimming along fine, they could still be at risk. How we teach our learners to swim and navigate the waters comes with equal parts skill, frustration, and grace too (thanks to the Tragically Hip). So are we teaching our students to swim for their lives, or are we over fishing them to death with rote lessons, busy work, and too many assessments?

When Giovanni Caboto, aka John Cabot, and his crew discovered the rich stocks of cod fish off of the Grand Banks he told the King of England that there would be enough fish to feed the kingdom until the end of time.

Little did he know that within a 500 hundred years, the Grand Banks would become over fished and the cod population was nearly decimated. The lessons learned over the past two hundred years in education are caught in a similar net.

Our students are over tested. The system has cast the same catch-all nets for too long. They feel too much stress, and they see the world of their future as a total mess. The oceans they’re inheriting are clogged with the debris left behind by their predecessors. Remember, these are the same people who gave us standardized testing, drill and kill Math, regurgitated learning, and grammar police state nightmares in both official languages.

Ironically now, there is also a figurative and literal garbage patch to clean up thanks to current education systems and its ancestors. What was once a thriving home full of opportunities and diversity is now a murky, polluted, and estranged place. Insert image of bleached coral here.

What I fear the most is that our students’ reasons for learning are disappearing like the cod on the Grand Banks. Without an intervention, the desire to learn that is coded into our youth faces extinction too. Can we revive this generation of learners by teaching them to swim, by cleaning their waters, and providing the safe habitat for them to thrive?

The Workshop Presenter’s Palette

  Screenshot 2017-11-29 at 8.53.40 PMIn my last post, I blogged about attending and presenting at workshops. And well…perhaps I should have waited a few weeks before sharing about that topic. Hindsight is always 20-20 and I’m grateful for the opportunity to share with you on this topic once again.

That being said, I must admit that I am coming off of a high that I haven’t had the pleasure of experiencing enough of as of late. This past Monday and Tuesday, I had the privilege of participating in ETFO’s The Workshop Presenter’s Palette.  I walked in not knowing quite what to expect but prepared to work on something and in all honesty, quickly realized that I was really working on myself. I’ve said it before, I love sharing the work that I get to do with amazing students and this session was really for me to be able to improve on something that I already enjoy doing.

Screenshot 2017-11-30 at 7.10.16 PMMuch thanks to the “Terrific ETFO Trio” – Ruth Dawson, Joanne Myers, and Jane Bennett. Not only was it inspiring to watch these 3 women share strategies – with intentionality – but I also felt as though they gave to us on every level. From remembering our names to making sure there were yummy treats, they hosted us so well and reminded me of the importance of making my audience feel as though they matter every time that I present. I walked away wishing that I had more time to sit down and learn from them. Thank you!

Now you’re probably wondering what was so magical. Well, here are a few tips that I picked up over the 2 days. Now I can’t go giving away all of their amazing secrets, you’ll have to stay tuned and try to get in on the fun next year.

The Environment Makes A Huge DifferenceScreenshot 2017-11-30 at 7.09.35 PM

We were in a large room with great acoustics so it was clear to hear the presenters. Everything was already set up for us and it was inviting because it made me feel as though they were welcoming me not just a group of people. If you know who your audience is and have time to prepare for them in advance, do it! Make it obvious that you have thought of them in planning your session.

Not sure who will be joining your session? Not to worry. Play some music.  I learned that the number of beats matters. Aim for 120 beats per minute. It’s uplifting and raises the energy in the room. Consider playing a game to get started. We started with a Meet Three activity where we were asked to meet 3 new people and were given prompts for each new person we met. Each prompt was timed and eased participants from a place that was familiar to them – what they plan on doing over the holiday – to the deeper purpose of the workshop – what made a workshop memorable.

When I say that there was intentionality behind every part of the workshop, there really was. Down to the variety of tools to get the attention of participants such as clappers and other noise makers. I felt heard, never screamed over but gently brought back to the larger conversation. Small things that made a huge difference in the learning space.

Help A Friend!

Ever been in a session where people were offering feedback on something you were creating? Have you ever gotten the feeling of being overwhelmed by capturing all of the amazing feedback? Well, I think I was just given the solution. We were asked to get into Mentor Groups where we shared our workshop ideas and were given the opportunity to get feedback and answers to some of the questions we may still have about our work. Rather than frantically trying to write down the wealth of information shared, the person to the right of the presenter took notes while the presenter was able to actually engage in active listening. Sound simple? It really is and believe it or not, I never thought of it. I think this is a strategy that I will take back to the classroom and use with students in peer feedback sessions.

Equity

Language matters and the idea of intention vs. impact was made so clear to me. No matter my intentions, the impact of my words is what participants and those around me actually feel. Adam Peer was our presenter for this portion of the day and he addressed the importance of being conscious of the images that are shown in our sessions. Do they show the diversity that exists in terms of abilities, skin colour, religion, age, family, and genders? Still saying girls and boys or ladies and gentlemen? Consider using children, everyone or using the person’s name instead.

I feel as though I’ve just touched the surface of all that was incredible about this 2-day session but at the same time given away a few tips that you may chose to take back to your classrooms or even workshops. I’m refreshed and excited to implement my learning into my sessions and classroom. Remember to stay tuned to ETFO’s Upcoming Events to sign up for amazing PD that is sure to change your life.  

 

Learning something new! Uses for Google Classroom in the music room

I am not a very technologically-oriented person by nature. To give you an idea, my partner had to talk me into getting a cell phone a couple of years ago as I couldn’t imagine life without my land line. However, this year, a couple of teachers from another school presented the idea of using Google Classroom to enhance their music program. I really wanted to try it out, so I assembled a group of five students who helped me get Google Classroom going in my music room. The whole process was so invigorating and exciting. I found myself excited to come in every morning and see what videos the students had sent me the night before. It really pumped me up throughout this past month.

To start using Google Classroom from a planning time teacher’s perspective is very easy if your board is connected to Google programs. I created a class for each one of the classrooms that I teach by going to the plus sign at the top of the page.google 1

Next, I clicked on each class and began to add students.

google 2

To add students to the classroom, simply go to the student section and either invite them by typing in their names or by giving them the class code to join.

google 3

Once all of your classes are set up, add assignments to the classroom by clicking on the small plus sign in the bottom right-hand corner of the screen.

google 4

I am using Google Classroom in my program for two purposes right now. It is being used to allow students to take videos of their learning at home, and for students to be able to access the music that we are using in extracurricular activities.

For the first purpose, students take videos at home and upload the video to their Google Drive. They then click on the assignment that I have created and upload the file. Finally, they hit submit to send their video to me. I open up the video and I can listen to the student playing their music.

google 5

It has been a great tool for my students who are still working towards playing in front of other people. It also has been fantastic for students to receive feedback between classes.

For my choir and recorder clubs, it has been a tool for them to access the music that we are singing at home.

google 6

I find the program very user-friendly and I appreciate the tracking of student progress. It is a little electronic portfolio for each and every student I teach.

 

Taking care of yourself in December

Now that the hustle and bustle of progress reports is done and parent-teacher interview night is over, I am exhausted. I find this time of the year to be the longest stretch of the school year and these next four weeks to be the most demanding on me mentally and physically. Although my body and mind feel like they should be at home relaxing on my couch, I have four solid weeks of instruction to deliver, an AQ to complete and a Christmas concert to gear up for. There is no time to rest just yet! However, this is my eighth time through December at school and I have learned a few things along the way. Below are my survival tips for the next four weeks.

Survival Tip #1: Keep to your regular routine in class as much as possible. This is tough with concerts, sing along assemblies and parties in late December; however, kids get cranky and forgetful of the school rules when so many routines are disrupted. To limit the amount of negative interactions with your students, continue with normal Math lessons and guided reading circles throughout the month to mitigate all the changes happening.

Survival Tip#2: Continue your exercise routine as much as possible. Just like the kids, there are so many disruptions to our lives in December. I have multiple holiday parties that I am committed to attend, baking to do, and presents to buy. It is really easy to get overwhelmed at this time of year. However, no matter how busy I get, I drag myself to my swimming and spin classes this time of year as I always feel better when I am done. I also am a better partner and teacher when I have had one hour of a spin instructor yelling at me (I guess when you are trying your best just to keep your legs moving, you don’t have time to worry about anything else).

Survival Tip #3: Do assessments in class. This is a great time of year to have students do oral presentations, skits, or hands-on math activities in class to demonstrate their knowledge. Have your rubric/checkbric/criteria checklist etc. ready and mark them in the moment. This will encourage you to take home less marking and keep you fresher for student feedback during the day.

Survival Tip #4: Choose your battles. This tip really applies to every day of the school year but I really try to remind myself of this in December. Some students have a really hard time with the transition into the break. For students who are going home to a two-week holiday filled with fighting, substance abuse or neglect, this break can be really long and stressful. That anticipatory anxiety and stress can display itself in behaviour that is really challenging to deal with. Try your best to stay calm and choose your battles if the student’s behaviour is not impacting your ability to instruct the class. Talk to the student at a quiet moment to see if they need support.

Survival Tip #5: Attempt to eat right. I say attempt, as my mother-in-law’s sausage rolls and jam tarts always get me. However, weight gain, upset stomachs and crazy sugar crashes that are very prevalent this time of year are not great factors for running the marathon that is the last four weeks of December.

Ultimately, it is very important to take care of you in December. I know it may seem selfish, but you will have so much more to give to your students, family and friends. Good luck and have a great December!

Call the cops

Call the cops

I’m guilty, and intend to re-offend. I will not be pleading innocent or apologizing either. So call the cops because I confess to caring about the well being of my students. And I think there are other recidivists like me out there. Yet, how would we know since so many educators spend their time siloed in self-sentenced solitary confinement?

Maybe, the problem is attributable to my particular approach to pedagogy? I write my tongue in cheek admission because I believe that student well being needs to be the foundation upon which all student success is built. Ensuring that my students know that they matter comes first and foremost. If not, it would be like building an upside down pyramid. It will not stand the test of time. (insert imaginary picture of an upside down pyramid here) In other words, it’s about relationships.

Is that a siren in the distance?

My instruction is student centred, connected, and committed to their success far beyond the marks on a report card. I want them to learn how to be awesome at life. That means taking time to invest in learning what makes my students tick as learners first. Not to mention, by the creation of safe, failure tolerant spaces for them to share what they hate about school. Before you let the police in, think about this.

My students are also asked to share what they love about school, and what they would like to have happen more often. I am trying to democratize the classroom here by listening to and valuing their voices. Let’s call this time Septovember. When it comes to their futures I’m guilty of involving students in the conversations that affect this part of their lives too.

Many of our Septovember discussions circle around activism, advocacy, and learning to think about one another. In the past year, I decided to throw all of the cards on the table. I announced that we were going to have a challenge task in our language block. I started the lesson off by saying, “The adults in your life have failed you. I have failed you. My parents have failed you. And a whole lot of people before us have failed you too.” Once they picked their jaws up off of their desks, I asked, “What are you going to do about it?”

We established a few parameters, discussed possible learning goals, and students set out to identify and solve  one of the many problems they are inheriting from us (e.g., environment, political strife, human rights issues, equity). Almost immediately my students were engaged and motivated and there it was: inquiry, empowerment, and authentic learning.

I hear handcuffs rattling.

Naturally, whenever life learning like this happens, it puts me behind any traditional instructional schedules, but thankfully it also allows instruction to happen much more effectively over the remaining months of our year. That’s right officer, it’s spelled G-O-U-R-L-E-Y

My students are going to learn that I care about them long before ever being expected to care about what I know or have to teach. If that means shaping the curriculum around them first rather than bending them around the curriculum, so be it. I know I’m not the only one. Have I mentioned that it’s about relationships first?

I have an accomplice.

In his 2017 TEDxKitchenerEd Talk, Andrew Campbell shares a very informed opinion about why he meets his students at the door every morning. And it’s not to check whether they’ve completed their homework. Campbell eloquently meshes his TEDx Talk with complete emphasis on connecting with his students. In it, he shares how his students changed his outlook after a tragic event involving a student in their class. He shares;

“the most important thing I can do as a teacher are the relationships I form with my students and the relationships I help them form with others. When the students come to me in the morning, I don’t know what they’re coming from or what they’re carrying. And when they leave at the end of the day, I don’t know what they’re walking into.”

There is no doubt that all students who pass through Andrew’s classroom door are welcome and valued regardless of the fact he is not a fan of well planned lessons. Imagine the power and potential in the simple act of meeting students at the door with a smile and a kind word? That is a “noble purpose.”

I knew there was another recidivist out there. Are you one too?

They better call for back-up.

 

Book group

A colleague of mine started a book club for educators in our school. We read the book “The boy who was raised as a dog” which takes you on the journey of various stories from the child psychiatrist, Bruce D. Perry. The book group involved seven to eight educators discussing the assigned chapters we had read for the week. I highly recommend this read for any teachers who have ever struggled with a “challenging” student. The book details the accounts of many children Perry encountered whose traumatic past altered their future. The book teaches all teachers to have a compassion that is so necessary for these traumatized children.

We discussed many things during our meetings each week. We started discussing the chapters but the conversations always had a way of covering anything and everything. The meetings helped me go into each day with an open mind and a compassion for a child’s situation that I did not have before. You rarely think of the reason someone behaves “badly” or defiantly. We may just assume that that is the way that child is. Many of us may have not stopped to think of the reason for that action. Realistically, we all have a lot on our plates that day and we may be thinking of a quick way to discipline the child. The book helped our book group members to think of ways to help these children in class so that they may have a successful future outside of it.

Today was our last meeting and we took the last twenty minutes to reflect on our love for teaching. How amazing of a feeling it is when you have that moment in the classroom (or outside) when you just get that feeling of “this is the most incredible job on earth!” We all discussed moments we have felt like that and how incredibly lucky we are to be teachers. The book group was a great way to celebrate and to continue our love for learning. If anyone would like more information about this book, please let me know. The book could change your entire outlook on those “tough” situations, reminding us never to give up on a child or to jump to negative conclusions especially when we do not know their entire situation.

Does Homework Work?

The Purpose and Politics of Homework

 

Homework

After teaching for over 18 years, one topic which is frequently addressed in parent/teacher interviews is homework. Often parents see homework as being critical to academic success. It’s a topic often debated and never really resolved, even for me as a teacher and as a parent.

In my teaching practice, parents consistently ask me for homework. They believe that doing homework, such as math sheets, makes their children smarter and better students. Parents often feel that “busy” work, such as math and language sheets should be provided by teachers.

Alfie Kohn, an American author and lecturer in the areas of education, parenting, and human behaviour has examined this topic on many fronts. According to Kohn, “no research has ever found a benefit to assigning homework (of any kind or in any amount) in elementary school {i.e. grades 1 to 6).  In fact, there isn’t even a positive correlation between, on the one hand, having younger children do some homework (vs. none), or more (vs. less), and, on the other hand, any measure of achievement” (Kohn, n.d.). In other words, homework is not linked to academic achievement in the early grades. Kohn does mention that in middle and high school, homework does impact math and science achievement, especially in higher socio-economic communities.

As a teacher, for homework, I usually assign 30 minutes of reading every night. But parents often scoff at my suggestion that reading is homework, probably as it produces no visible work. In addition, when assigning journal writing, for homework, it usually does not get done. Parents find it hard to get their children to write a journal … parents state “it is a lot of work because my child resists writing”. Now they have a glimpse into my job as a teacher. I believe that parents want homework to keep their children busy and it reminds them of the days when they did their homework.

I find it frustrating that when I do assign homework like bringing in materials for class projects, it does not happen. Often collecting homework is more work for me, especially when I have to chase after students for it. Ironically, I do not use homework for assessing students because it is completed away from school and may not have been done by the student.

So what is the purpose of homework?

1. Practice: Is the purpose of homework to promote practice of concepts?

Yes, homework can be useful in practicing math concepts or writing in the form of journals. In this case, it is important for homework completion to be advocated by the student. Teachers or parents cannot force a student to do this work. When parents ask me how to make their child complete homework, I often cite the phrase “you can take the horse to water, but you can’t make him drink”.

In my own parenting experience, with all my encouraging and some threats, I could not make my son complete his homework. I state this after spending hours working beside my son to get his homework done. In using this strategy, in the end, the responsibility of completing his homework was passed on from him to me … and it was not my homework! When my son entered high school, I gave up on the homework battle and he proceeded not to do his homework on his own. He completed high school and went on to post secondary school where he did not do his homework. My daughter was a different story. She had solid learning skills and a strong work ethic. I only got involved with her homework when she needed help. As a hard worker, she exceeded her brother in her academic success as university is about being smart and working hard.

When I assign homework, as a teacher, I wonder what level of stress I am putting on parents who try to help their children with homework I send home?

2. Completion of work not completed in class: “Work not done in class is homework!”

As a middle school teacher, I have observed two types of students – those who complete work in class and those who socialize in class. The middle school years are an exciting time for students as peers become very important in their lives. Hanging out with friends becomes the main reason for coming to school. Returning from holidays results in many hours of catching up with peers. Due to this very social time in students’ lives, individual and group work assigned in class is not always completed in the timeframe assigned by teachers. This means teachers need to allow more time for work.

As a teacher, it has been suggested by parents of not keeping middle school students on task or not giving enough time to complete assignments. The bottom line for me is that I give plenty of time for work to be completed and do my best to keep students on task. I challenge anyone to keep 30 grade 8 students, with varying academic abilities, on task while helping several other students in need. It’s like trying to herd 30 cats. When parents complain to me about their child’s incomplete work, I state that the student simply did not use class time wisely and needs to finish the work at home.

In my middle school experience, often students need to complete work at home because they did not complete it in class. Several times, students have returned essays and assignments to me that is completed at the “university level” and it is clear that the student did not complete the work on their own.

In the end, homework still remains a contentious topic. As a middle and high school student, I did homework to complete assignments and practice for math tests. I was not an A student at the time, but my homework routine allowed me to develop solid work habits for my future education.

After writing this blog, I still have no clear answers as to the effectiveness of assigning homework probably because each student is different. This school year, I will be assigning math homework as my grade 4/5 students are as keen to do it as their parents are to see it assigned. I’ll reflect on how this year progresses and see if it impacts my teaching and their learning. And I won’t make it too hard so the parents understand it too.

Below are some resources you can share with parents to help them support their child’s learning.

 

Doing Mathematics with Your Child

http://www.edu.gov.on.ca/eng/literacynumeracy/parentGuideLitEn.pdf

Reading and Writing with Your Child

http://www.edu.gov.on.ca/eng/literacynumeracy/parentGuideNumEn.pdf

 

Alfie Kohn Comments about Homework

https://www.washingtonpost.com/news/answer-sheet/wp/2012/11/26/homework-an-unnecessary-evil-surprising-findings-from-new-research/?utm_term=.c2875ad9cb3a

It’s Conference Time!

My presenter journey started a couple of years ago when I thought, “why not take a chance and share my work with other educators?”. My first conference was Bring It Together in 2015. Funnily enough, I find myself starting to write this blog from this year’s BIT conference.

In 2015 our school was involved in a school-wide Water Inquiry and I had just begun working with students on Entrepreneurial Thinking in the classroom. It was something new in our board and I was excited about this work and naturally thought the conference would be a great way to share it.

In Marketplace style, I set up my booth and had an hour filled with inspiring conversations with other educators about similar work that they were doing with students in their classrooms. Initially I thought I was there to present our work but found such value in learning from the experiences of others and gained great insight on how to take this work further. I caught the conference bug then, I’ve still got it, and I’m not letting go.

Over the years, I’ve learned 3 things as a presenter and attendee:

  1. The Power of Story
  2. Being Open to New Learning
  3. Network, Network, and Network

The Power of Story

Sessions that have inspired and impacted me the most have been ones where the presenter has connected with me through the power of story. Either through taking me on their journey or sharing their students’ journey, these sessions have brought life to the material that the presenter is sharing. Seeing a real application and/or the humanness and messiness behind the implementation of ideas or projects makes it real and tangible. As an educator, I’ve realized, the realness of the struggle and the ability to overcome makes the process inspiring. I’ve tried to implement this in my presentations and am learning that it’s not just about me, but more so the amazing students who I am privileged to work with and whose work I am sharing that are the power in my presentation. As I presented at STAO a couple of weeks ago, I realized that I was most passionate when I was sharing my students’ work on hurricane solutions and the learning that I gained from them. If ever you are considering presenting, tell your story; and with their permission, tell the story of your students. It’s some of the best PD I have ever experienced.

Being Open To New Learning

It’s inevitable. At every conference, I end up attending a session where I think it might be on a particular topic and find out that it’s really about something else. In the beginning I would get discouraged and tune out if I found that I wasn’t getting what I thought I was supposed to be. Then I learned that I could get up and find another session that might better suit my needs. While I thought the second “strategy” was effective/useful, I’m learning the importance of seeing a session through and finding new learning. Whether there is a new tip or trick used by the presenter or participants or a strategy to avoid, there is always something that I can learn. Fortunately, this happened a couple of weeks ago during a session. I learned that it’s essential to test a demonstration before facilitating a session and to ensure that I truly understand all the steps involved when I’m asking participants to take a risk and try something new with me. Presentations can be tough and many of us are just learning about how to give them. Bear with us. Consider sticking it out and perhaps you may just learn something that will be of value to you in the long run. By being there you’ve already opened the envelope. Why not read its contents to the end?

Network, Network, and Network

Ok…It may be no secret but I love Twitter. I have to say that all credit goes to my former Principal, Greg McLeod, who suggested I hop on a few years ago to participate in a Twitter chat. I hesitantly agreed to join the Twitterverse and little did I know, it would be a revolutionary tool that would connect me to educators all around the world. I’ve gained tips and ideas by seeing the work of others online and during conference time, it’s my opportunity to seek them out and meet them in person. It’s also my chance to find new people to connect with and learn from. Last year, I attended a workshop at STAO where I met Shari Green-Brown who is the Principal of RJ Lang Elementary & Middle School. Who would have thought that learning about hand tools during a session would lead to the opportunity to collaborate with her – and others – to help facilitate our STEM Certificate Course or our current PD series – Tinkering Thursdays? I’ve grown as a teacher, presenter and facilitator by building a relationship that began on Twitter, was strengthened through an experience at a conference and developed over time. If ever you decide to take advantage of presenting or attending a conference, take the leap! Talk to a stranger or a Twitter friend. You never know who you might meet & what journey you’ll have the chance to take with them.

Fall conference season is almost done for me. As I look forward to the fun of conferences this spring, I’ll keep in mind: The Power of Story; Being Open to New Learning; and Network, Network, and Network. Consider taking advantage of conferences and events offered by ETFO. Last year I had the opportunity to present at ETFO’s ICT Conference. The energy was simply amazing and the sessions offered many new learning opportunities for participants.

I look forward to learning from and with you soon!

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.

 

5 Things Teachers Need to Know to Teach Math

Math Wordle

 

Here’s 5 things that are important to know if you teach math …

  1. Mathematical objects or learning objects (i.e. using manipulatives or models)

These help students figure out and explain their thinking. Manipulatives (concrete or virtual) tend to draw out students’ need to explain and focus on different representations and meanings of mathematics concepts and models. In addition, learning objects/manipulatives can actually act as models of understanding (Tichá & Hošpesová, 2009). Objects are especially valuable for students still functioning at a concrete level of thinking. Helping students chose appropriate manipulatives is important as protractors are not usually used to measure straight lines.

  1. Connectedness (i.e. to real life and to all strands of math)

Teachers need to make connections between and among different math strands as well as concepts and procedures. Math concepts are interrelated for example, multiplication is repeated addition and subtraction is the opposite of addition. Division and multiplication are interrelated and opposite and are interrelated to fractions, decimals, and ratios. Teachers need to make these connections to prevent students from using math concepts and procedures in isolation. Further, teachers need to connect math to real world applications such as How do carpenters make sure a door is installed right? … they measure the diagonals to make sure they are equal (equal diagonals means the door is installed at right angles). The teaching of math is not presented as a “unified body of knowledge” when taught in singular isolation (Ma,1999, p.122).

  1. Multiple Perspectives (i.e. solving problems different/flexible ways)

Teachers need to stress the idea that multiple solutions are possible but also explain that some approaches to solutions and methods are more appropriate in certain situations. This multiple perspective allows students to be flexible in their thinking and understanding of the content.

  1. Basic Ideas (i.e. key ideas/understandings)

When teaching math, teachers stress basic ideas and key understandings. For example, when solving a problem, students can use an equation to provide proof of their answer. Showing their answers different ways can reaffirm their proof.

  1. Longitudinal Coherence (also known as curriculum and learning trajectories i.e. how curriculum is related between grade levels)

Teachers need to be aware of what is being taught at all levels of the elementary math curriculum and not just the grades that they are teaching or have taught. When teachers know the math curriculum well, they know where their students’ learning has come from and where it is going. When only knowing the assigned math grade level being taught, teachers miss out in identifying students’ gaps in their math learning. When there is a gap in learning a math concept, teachers can employ “numeracy recovery”  just as “reading recovery” is used to help struggling readers. When teachers take opportunities to review key understandings, they can put in place the appropriate foundation for students’ future math achievement.

An effective way of presenting this knowledge is following the development of a specific math concept through the grades – see Grade 1 to 6 Multiplication Learning Trajectory below.

Multiplication Learning Trajectories with curriculum

Collaboratively Yours,

Deb Weston

References:

https://buildingmathematicians.wordpress.com/tag/teaching-mathematics/

https://www.mathrecovery.org/pdfs/how-it-works/Math-Recovery-Research-White-Paper.pdf

Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates.

Tichá, M., & Hošpesová, A. (2009, January). Problem posing and development of pedagogical content knowledge in pre-service teacher training. In meeting of CERME (Vol. 6). From proceedings of CERME 6, January 28th-February 1st 2009, Lyon France INRP2010 1