Math – Page 6

Recently, during a discussion in an AQ course @ed_rego, we started talking about math scores and the effectiveness of Ontario’s public education system. Ed Rego mentioned Ontario and Canada’s success on the international front. Not only do Canadian students rank high on the international front, its public education system also makes a difference in students’ lives. Let’s look at some reveling data first.

1. Canada ranks high in international testing.

In my studies on education, I discovered how well Canada does on international test scores, especially in relation to the United States. The Organization for Economic Co-operation or OECD conducts yearly tests to rank countries based on performance in science, reading, mathematics (Program for International Student Assessment or PISA) and trends in international mathematics and science study (TIMSS) in both French and English. Students are randomly selected by age (15 year olds for PISA) or by grade level (Grades 4 and 8 for TIMSS).

In 2015, Canadian 15 year olds ranked 4th in science , reading, and mathematics among the PISA results tied with Finland. Singapore, Japan, and Estonia were the only countries to surpass us (Chinese countries include Taipei, Macao, Hong Kong, and B-S-J-G China) . The United Kingdom came in 10th place and the United States came in 20th place. The trends show Canada varies only slightly between testing years. Also note, in Canada, all 15 year old students, of all abilities, participate in our education system and thus would be possible participants in the PISA testing. Also note that Canada does not have weekend “Cram School” as part of our educational landscape. Cram School focuses on rote learning and not critical thinking. In addition, some countries stream students with learning challenges away from formal education. A breakdown of PISA 2015 results for specific provinces can be accessed below.

In 2015, Canadian students ranked 8th in grade 8 mathematics surpassed by Singapore, Korea, China Taipei, Hong Kong, Japan, Russia, and Kazakhstan. England ranked 10th and the United States ranked 11th. Norway students ranked 14th in mathematics. Finland scores were not listed. In science, Canadian students ranked 13th in grade 8 surpassed by Singapore, Japan, China Taipei, Korea, Slovenia, Hong Kong, Russia, England, Kazakhstan, Ireland, United States, and Hungary. Norway students ranked 18th in science. A breakdown of TIMSS 2015 results for specific provinces can be accessed below.

These PISA and TIMSS scores show strong results for both Canada and Ontario, particularly in light of the latest decrease in mathematics EQAO scores in 2017. From these results, I can conclude that Canada’s public education system does a very good job educating our students, even on an international level.

Note: I did not analyse the breakdown of grade 4 test scores as the introduction of specific Canadian curriculum differs in mathematics from other countries.

Canada’s 15-year-old students among best global performers in science, math

Breakdown of Canada’s PISA scores for 2015.

2015 mathematics TIMSS results

2015 science TIMSS results

TIMSS 2015 Ontario result breakdown

2. Canada teaches students how to critically think and engage in rational discourse.

As Heather Mallick of the Toronto Star stated, our public education system teaches “to value thought over feeling, reason over passion” (Mallick, Toronto Star, November 12, 2016). Canadian teaches do not accept writing with statements without supporting details that come from credible sources. Teachers teach the difference between real news and false news.

3. Canadian public education socializes students.

All students, from all backgrounds (i.e. age, gender, cultural background, socio-economic status, or ability) participate in Canada’s public education system. Students are not segregated based on background, culture, or socio-economic status. Students all learn together. Teachers teach values of inclusion for all and education for all. Students learn to get along with others from many different backgrounds and many different places in the world. And this level of national inclusion, is one thing that makes me proud to be a Canadian citizen and a Canadian teacher.

Ontario’s Equity and Inclusive Education Strategy

4. Canada’s public education is equitable and democratic.

Canada’s public education system (almost) compensates for disadvantages that impact student learning. Canada’s public education system gives students from all background (due to age, gender, cultural background, socio-economic status, or ability), an opportunity to succeed in school. Newly-arrived immigrant students rapidly integrate enough to perform the same as their Canadian classmates. Dr. John Jerrim (UCL Institute of Education in London) stated that Canada’s high league table ranking reflects the narrow socio-economic gap in school results. The outcome is that Canada’s score show a very high average, with relatively little difference between advantaged and disadvantaged students. The OECD states that Canada supports social equity as “Schools should provide a good education for all students, regardless of their parents’ education or career. PISA assesses to what extent differences in education outcomes are associated with the social status of parents as well as the performance gap between advantaged and disadvantaged students. It also identifies the share of students who perform well, despite coming from disadvantaged backgrounds, known as resilient students.” (OECD, 2015)

PISA 2015 Key Findings for Canada

How Canada became an education superpower

I end this blog with the words of John Dewey …

It is no accident that all democracies have put a high estimate upon education; that schooling has been their first care and enduring charge. Only through education can equality of opportunity be anything more than a phrase. Accidental inequalities of birth, wealth, and learning are always tending to restrict the opportunities of some as compared with those of others. Only free and continued education can counteract those forces which are always at work to restore, in however changed a form, feudal oligarchy. Democracy has to be born anew every generation, and education is its midwife. (Dewey, 1916, The Need of an Industrial Education in an Industrial Democracy)

Let’s celebrate Canada’s public education system success as a democratic and well educated nation – for I believe this is why we are one of the best places to live in the world.

Collaboratively Yours,

Deb Weston

This blog was inspired by an article written by Heather Mallick, Toronto Star, November 12, 2016.

September 29, 2017September 29, 2017 Laura Bottrell General, Math, Professional Learning and Growth

A Week of Inspirational Math

To begin the year of math instruction, most of the junior division teachers in my school decided to try Jo Boaler’s “Week of Inspirational Math” on YouCubed. Jo Boaler is one of the leading researchers in mathematics education and focuses largely on developing mathematical mindsets. On the website www.youcubed.org, there are many high quality resources for teachers and parents based off her research. I am quite familiar with some of the resources, having explored it during staff professional development days. I was quite excited to get into the classroom and try it out for myself.

The Week of Inspirational Math, actually expanded to three weeks, provides student videos and lesson plans that include rich, open ended math tasks. They are described as low floor, high ceiling tasks, meaning that they have many access points for all levels of learners and allow for multiple solutions and higher level thinking. The tasks, sorted by grade level, touch upon different strands of math as the days progress. Each lesson is accommodated by a video for students, usually of Jo Boaler herself, creating and framing mindsets for math.

I loved using this as my programming for the first few weeks of school. First, because it set the tone of positive mathematical mindsets in my classroom. One of the very first activities has students discussing what makes a good problem solving group member. They are invited to discuss what things they might like their classmates to say and do while consolidating math experiences. What a great way to establish classroom norms!

What I really loved about the Week of Inspirational Math was that it acted as a great diagnostic tool for me. By touching upon many strands, offering a large window of access points and relying heavily on math conversations, the program provided me with a great opportunity to get to know my students as mathematicians fairly early in the year.

Jo Boaler’s approach to teaching mathematics is based off of these seven positive classroom norms:

1. Everyone can learn math to the highest levels

2. Mistakes are valuable

3. Questions are really important

4. Math is about creativity and making sense

5. Math is about connections and communication

6. Math class is about learning not performing

7. Depth is more important than speed

The Week of Inspirational Math isn’t the only excellent resource available at YouCubed. I have been spending some time exploring the tasks, videos for students, parent resources and research articles available. YouCubed offers professional development courses both online and in-person. The website also lists a variety of texts and resources for teachers to use in the classroom. If you’re interested in learning more, head over to www.youcubed.org or check out Jo Boaler’s latest book, Mathematical Mindsets.

I am looking forward to continuing to use these resources with my grade 5/6 class in addition to many other wonderful resources out there! As a teacher, I sometimes feel that there is an overwhelming amount of resources, new research and ideas available. It can be quite time consuming to sort through and find what is meaningful to you and your students’ needs. There will never be a “perfect” or “right” way of teaching math, but I thought I’d share with you this resource that has worked well for me!

September 24, 2017 Arianna Lambert Inspiring Students, Learning About Your Students, Math, Start of the year

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.

Magically, 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….

I’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.

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!

May 2, 2017 Mike Beetham Assessment, Challenging Topics, Combined Grade Classes, Differentiated Instruction, Diverse Learning Needs, English As Second Language (ESL), General, Math, Professional Learning and Growth, Resources

Overcoming Math Phobia

A phobia is defined as an extreme fear or aversion to something. This can often be associated with mathematics both by students and teachers alike. Human nature is such that when we feel we are not good at something, we therefore can’t be successful at it and we tend to avoid that what we will fail at. This self-fulfilling prophecy is often alive and well in a teacher’s or student’s thoughts.

I will be the first to say that at an earlier stage of my career I was very uncomfortable and unsure of myself when teaching mathematics. Sure I knew how to do math, but did I know how to teach something I was not very comfortable with. I had to do something to ensure that my skills and pedagogy were improving. Thus began a voyage of self-learning or self-guided professional development. Now, twenty-five years later I am still on that journey of learning about how to best teach mathematics so that my students learn and are engaged in their world that is so filled with math.

As with anything else you must find the right tool or vehicle for learning. I attended as many workshops as I could on mathematics. The Waterloo Region District School Board offers a wealth of learning opportunities for their teachers as does ETFO and the Ontario Association for Mathematics Education (OAME) (http://www.oame.on.ca/main/index1.phplang=en&code=home).

These are several key areas where you can start your journey of learning. I would like to share three key resources that have helped me become a more efficient and knowledgeable mathematics teachers. The first is the work of Dr. Catherine Twomey Fosnot. Her work and approach to the instruction of mathematics is the number one influence I attribute to my growth in mathematical instruction. I attended several of her sessions as well as visiting her site in Harlem. I would highly recommend her series ‘Young Mathematicians at Work’ as a classroom resource.

The second most useful tool I have come upon is the series entitled Super Source. There are many reasons why I like this resource. The first is the rich problem solving tasks that are in each book. There are a variety of tasks and each task is connected to an area of mathematics where it can be used like number sense or patterning. There is a book written for each type of manipulative (Base 10, Pattern Blocks, Tangrams etc…). The most valuable asset of this resource is that there is a section where the mathematics behind each task is explained to the educator (the big ideas) as well as suggestions on how to bring out the math in your students. As with any resource this provides a jumping on point where a teacher can then adapt the task to meet their needs.

The final resource I would like to share with you is one of the many works of Van de Walle. I used this resource as a teaching tool for myself. It helped me understand the concepts I was teaching and how to bring out both a level of engagement as well as a deeper understanding of mathematics in my students. I hope these resources prove to be as valuable a tool to you as they are for me in my teaching of mathematics.

February 20, 2017 Will Gourley Constant Learning, Differentiated Instruction, Field Trips, General, Learning in a Real Life Context, Literacy, Math

Express lane to learning

Recently, I was out shopping, and came upon something that’s not usually found for sale on the shelves at local grocers. Insight.

Funnily enough, it was probably there all along. I must have blown past a bunch of times while buzzing about my mental list of must buys. But this time, finding insight was meant to be. I’ll explain in 10 items or fewer.

https://www.flickr.com/photos/kirrilyrobert/2355105082/ CC by 2.0

Usually, upon walking into a store, I’m pre-occupied with my mental shopping list, figuring whether something is a good deal or not, and by getting out as quickly as possible. This requires the use of several life, mental Math, and critical literacy skills.

The act of shopping really requires planning and strategic thinking to figure out when a store will have the least amount of people as possible in it so that we may park, pickup a cart, procure, pay, and part. It is impossible to ignore the thought required for such seemingly innocuous trips that are made for our milk, bread, and eggs etc.

From now on, and armed with this understanding, I am going to use my trips to the store to seek out and share its valuable lessons. There’s knowledge to acquire about Math(Measurement or Number Sense), to Media Literacy(package design, use of space), and to the development of crucial future life/socialization skills in every aisle.

Consider the yogurt section for a moment; there’s something for everyone in that part of the dairy case. Where else could so many products co-exist so peacefully? In fact where else could such diversity exist(except Canada)? Here gluten free, lactose free, peanut free, Halal, Kosher, vegan, and meatatarian are available to all at the grocery store and share an inclusive space.

Then there’s the produce section.

While perusing here, I saw couples discussing, quite demonstratively, which bunch of Rapini to buy. Then I spied the apple aisle. There was a person who felt compelled to touch all of the apples in the case. I witnessed a grape thieve looking from side to side and then pop a few into her mouth. Here were real lessons on relationships, human behaviour, and decision making all before me waiting to be picked and extended into the classroom.

It’s like that in the classroom or a head of Iceberg(lettuce). Teachers work hard to make learning engaging, extendable, and relevant everyday.What most outsiders see is only the first leaf, layer or ply.*

Speaking of plies. I thought it would be fun for my students to calculate which toilet paper at the store was the better deal based on size and number of sheets per roll.

Talk about a real life problem. Initially, I went around snapping pictures of the different packages and their details to build the questions. The class discovered that there’s a lot going on that can confuse consumers. We came away wiser for the time knowing we wouldn’t get rolled over by the manufacturers next time.

Your turn

Have you ever considered or taken a class to the local grocer? What about a super-type store à la WalMart(wish I could still write Zeller’s here)?

Or how about a homework assignment to include children in the planning and shopping? Who knows it might become fun, or democratize the food choices in some households. It may even lead to conversational and debating skills.

There’s a line forming behind me. Happy shopping. Thank you for reading. Please share and take time to comment to keep the conversation going.

*You thought I’d say tip since iceberg was used, but no!

December 7, 2016December 7, 2016 Laura Bottrell General, Math

“Unboxing” Math Instruction

“I’m not a math person”. This is probably a statement you’ve heard from someone at some point, whether it be a friend, colleague, student or even yourself. It’s something that I grew up truly believing. I grew up believing that I did not have a “math brain” and that it just wasn’t “my thing”. Today, I know this is a myth.

I learned this to be a myth about one hour into my Primary/Junior Mathematics course in my B.Ed program at Brock, taught by one of the most inspiring educators I’ve ever met. It was here I learned that everyone can learn math, there is no such thing as a “math person”, and that this was an unfortunate myth that has stopped many students and adults from success in mathematics.

So, why do so many people believe they can’t do math?

Traditional math instruction has been black and white – right or wrong. But isn’t the grey area where the real learning happens? When we box our students into answering questions that require only repetitive tasks, rote memory or simple procedures, we box them in to a world of right and wrong. We box them in by assigning them a grade “4/10” on a simple procedures task. We box them in by marking their work wrong if they haven’t solved the problem in the exact way we’ve taught them to. We box them in when we don’t give them the chance to show us what they are truly capable of. When we box them in, we send a message that they can’t do math.

We know that having a growth mindset is directly related to success, especially in mathematics. Right now in education we are moving away from straight forward, right and wrong math, and moving towards building an environment where problem solving, growth and exploration is more important. With instructional techniques like the three-part lesson plans and number talks, we’ve moved our instruction in the right direction. We also need to open up our math questions so that there is space within them for learning.

Last week I had my grade 2/3 students write a math assessment as a conclusion to our unit of learning. One of my students did quite poorly on the assessment and I was hardly able to understand what he was thinking when he wrote down one of his answers. When conferencing with him after, he explained his thought process to me. He misunderstood the question on the test so he answered it in his own way. After understanding his perspective on the question, it became obvious that he had solved the question in a much higher level way of thinking and clearly had a deep understanding of the concept. He told me, “I made my own math”. Well, how great is that? Had I just taken it for granted, marked it wrong and moved along to the next student, I would have missed this teachable moment. Instead, he left our conversation feeling proud of his abilities rather than feeling like he can’t do math. He left our conversation with a growth mindset.

What our students believe about their abilities in math directly affects their success. We need to set up our students with opportunities to challenge their thinking, try new things, explore and make mistakes. If our students believe they have unlimited potential in math, they will do great things.

Next time, I will replace that question with something process oriented and open ended. After all, I’m still learning too!

December 5, 2016 Kelly.McLaughlin Learning in a Real Life Context, Math, Students as Teachers, Use of Technology

Surveys that matter

Today was a very interesting day for learning that took a different direction than I anticipated. We started off talking about ideas for the holiday assembly when I mentioned to my students that I would like them to survey the grade to find out their interest. It seemed unfair to force a grade of students to be involved in an assembly unless they really wanted to. Five of my students surveyed the entire grade about how they wanted to be involved. It was great to see them learning the process of how to create a survey (using google forms) and then administering it to their peers. Twenty minutes later, we created one to see if and how we should decorate the class. This survey was then administered to our class by five other students. It was great to see students talking about percentages and comparing pie graphs in a context that was not even supposed to be a math lesson. Learning can take place in all contexts and it is awesome when it is student led and the teacher just sits back and lets the magic happen. I am letting my students survey the intermediate students to select their music for the next school dance. I am also hoping to survey the school in the near future about extra curricular activities they would like to see in our school. Data management is proving to be an all encompassing area of study and is creating amazing student leadership! Try it out at your own school and see your students become teachers. They loved seeing the results from their survey matter and saw how action took place right away.

March 29, 2016March 29, 2016 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?

March 28, 2016March 28, 2016 Will Gourley Constant Learning, General, Inspiring Students, Learning in a Real Life Context, Math, Resilience

Keep swinging for the fences

Spring is definitely here, perhaps this is not so evident in our temperamental weather, but by the fact that baseball season is back. In honour of that I wanted to share some connections to how being a student of the game is like learning in the classroom.

I look at baseball as a sport for all ages and genders. Everyone can play. In some ways, a baseball diamond could be the ultimate classroom with so much going on at anyone time in the stands, in the dugout, and on the field.

Baseball is a game of scenarios. There are constant situations to be thought through in every game and there are statistics kept from little league to the major leagues. Just think of all the other Math skills at play in the concession stands, ticket offices, and accounting/payroll departments. Math is an important part of baseball.

Baseball is a game of Physics. How a ball rotates from the pitchers hand towards home plate determines its trajectory. The angle and bat speed at which a player makes contact with a ball determines its flight duration and distance. Major League Baseball measures everything possible on the field that happens in a game, including ball rotation, pitch velocity, swing(bat speed), and field area covered in a program called Sabremetrics. I wrote this TED Ed lesson called Future of the game: Baseball latest statistical revolution to show how it is used.

Weather plays a role here too. Forecasts determine whether games can be squeezed in or postponed. Data from on-field temperature, and prevailing winds gets noted too. Imagine the engineering required to design the perfect outdoor ball park because no two seem to ever have the same design.

Baseball can be altered and adapted to suit the level of all its players. There is Kickball(soccer baseball), marshmallow baseball(played with a tennis racket and a bag of marshmallows), and Rounders. Some might even prefer the game of Cricket as it may be more familiar to their students than baseball. All of these adaptations have similar fundamentals and transferable skills.

Baseball is a team sport. No one can play all of the positions at once. It requires collaboration. Everyone plays a role whether in the field or waiting to bat. Baseball is a thinking game. Many of the lessons of life come from playing it. I mentioned Math and Physics before, but there are other areas that come in to play here too;

Emotional- Players can get caught up by a moment, or when a mistake gets made. This can lead to other mistakes if focus required to make the next play. Baseball teaches its players to keep their minds on the game. It also shows students that mistakes are going to happen. How they recover from them is an important part of the game/lesson.
Mental – With all of the statistics kept in baseball it is important for players to know what to do with the information. Processing on the fly and responding just like in the classroom comes from preparation aka practice. Players and students alike prepare for games/tests receiving coaching/instruction and next steps for improvement.
Feedback – Whether playing baseball or learning in the classroom there is always feedback. Some is positive and some is negative. This can depend on something as simple as mindset, timing, and delivery. With students the risk of being kicked off the team is never on the table. There are no minor leagues in education. Teachers are in the room to help all of their students make contact with the ball and circle the bases with their learning. Regardless of the type of feedback teachers and coaches are there to instruct, identify talents, and encourage their students.
When a player strikes out, there will be another chance to bat. When a player walks a batter or misses a throw, there will be another chance coming their way soon. The lesson is always be thinking and practising for the next opportunity whether it is in the classroom or on the field.

So as the players take to the field for the next umpteen months take some time to share this incredible game in your classroom. Take time to enjoy the Science, Math and chance to develop life strong habits of resilience and teamwork.

February 20, 2016 Tisha Nelson Black History Month, Challenging Topics, Equity, General, Inquiry, Math

Geometry and Race

Can you have a conversation about Black History Month without discussing race?

Important question? Bold question? Irrelevant question?Let me digress here to share an exchange I had with my grade 3/4 students during math class in February.

I’m a math teacher. Although the conversations that take place in my class go deep within and far beyond the math curriculum, I love inviting my students to make connections between real life and the mathematical ideas we explore.

In an integrated unit on Data Management and Geometry, my students were invited to investigate and name the many attributes of 2D figures with a focus on the properties of polygons. They learned the latin prefixes used to name various polygons based on the number of sides. We engaged in an angle scavenger hunt all over the school, classifying the angles we noticed as acute, obtuse and right angles. We also wrote a song that highlighted our learning, adding verses as the learning progressed throughout the unit (https://heartandart.ca/?p=3638).

In a particular conversation about the similarities and differences among quadrilaterals, I questioned my students on the need to classify polygons and then further classify them within the category of quadrilaterals. I then invited them to name the other ways in which things or people are categorized based on different attributes. Almost immediately some students shouted, “skin colour!” Was I shocked? A little bit, but I thought, let’s go there. I had never really engaged in an conversation about race with this group of students and I was curious to hear what was on their minds about the subject. The conversation then delved into discussing the confusion between incongruent language that is often used to describe skin colour when the actual colours in questions were browns, tans and peach-like hues. This conversation invited students to voice questions and make connections between the experiences of fitting in and not fitting in in particular spaces – in a similar way that a trapezoid fits into the category of a quadrilateral, but not in the experience of being a parallelogram. It was an interesting conversation that led to what one student called it as being “shape racism” and another student naming it as “social injustice.” Students have a lot on their minds – I was intrigued with what they shared and the ways in which they articulated their thinking and confusions about the experience of labeling.

Race and geometry were intertwined in that one conversation. Who would have thought? So back to my original question which may, depending on how you look at it, or may not be related to everything I just articulated. Can you have a conversation about Black History Month without discussing race?

Category: Math

Why our public education system is awesome!