Math – Page 7

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?

January 26, 2016 Tisha Nelson Celebrating Success, Combined Grade Classes, English Language Learners (ELLs), General, Inspiring Students, Inspiring Teachers, Integration, Math

The Music of Math

I secretly want to be a conductor of a large musical ensemble. My visits to the Toronto Symphony Orchestra always reignites my passion for music and I will always catch myself using my hands and body to dance with the beautiful arrangements of the melodious notes. However, one small obstacle has barred me from realizing this dream: I have not yet been able to master any instruments much less lead a body of musicians. Sigh! Nonetheless, being a teacher gives me the opportunity to integrate many of my passions into my classroom practice. As such, my love of teaching and my dream of conducting an orchestra have a place to collide. My class call signal – teacher: “Bah dah bump bah dah dah…” students: “Hey!” – can seem to go on for hours as I engage my students in various melodious versions of the common tune. Needless to say, I can totally get lost in the call and response clap patterns that allow me to use my hands as if they were conducting an orchestra, pulling out the very beat of each note value as students respond with the exact arrangement of claps. Each time I am left invigorated and excited and my students love it. These sessions often end up with smiles and laughter in our classroom, opposite to the quiet tone I originally was trying to achieve.

This year I teach math to Primary, Junior and Intermediate students. Math and music have long enjoyed a harmonious marriage with the plethora of interconnected concepts that can be explored simultaneously. This year in my Grade 3/4 math class, we had the opportunity to embrace this fusion. We have been exploring geometry concepts by naming, sorting and identifying characteristics of polygons. This aspect of geometry is extremely language-rich and I needed a way to solidify the students’ conceptual understanding of the principles of geometry while not losing my students in the barrage of its discourse. So we decided to accent our learning by capturing it in a song.

I invited my class to decide on a familiar tune that we could arrange our lyrics to fit. Hot Line Bling and Watch Me (Whip/Nae Nae) were among the tunes that were suggested, but didn’t make the cut. We opted to use the infamous Mary Had A Little Lamb as our melody base since it offered a simple structure for the type of song that we wanted to construct. We then brainstormed all of the ideas we had learned up to that point in our polygon journey. These were written on the board and were the ‘meat and potatoes’ of our song. Then the creative juices began to flow. Each aspect of our learning was written as a verse in our song. We had to be creative with our word choices and syncopation, as we had more to say than the structure of our tune would allow. So once the lyrics were written, the music teacher and I collaborated to hash out the note values of our song. Ta-dah! Music literally met math. Coupled with this, Mary Had A Little Lamb just happened to be the song that my students just finished learning to play on their recorders. Bazinga! Music met math again. And guess who got to direct this beautiful masterpiece?… ME!

So what’s my point? Learning is awesome! No really – when a passion for teaching meets willingness to embrace creativity, amazingness happens. Children learn and teachers have fun. Being authentically excited about what you do is an important ingredient to any meaningful experience and the polygon song is such an experience which I hope my students will never forget. Because of this, neither will the concepts be lost. As for me, my dream will continue to grow. Who knows what else I might try? I’ve secretly wanted to be an opera singer…

December 9, 2015 Tisha Nelson Combined Grade Classes, Communication Tools, General, Integration, Math

Number Lines: A Game Changer in Math Class

This year, as in times past, planning my math program was filled with the usual excitement of clustering expectations and imagining ways in which I could creatively address the curriculum. Teaching a grade 3/4 combined grade for the first time, I was eager to be on top of my planning and ensure that I was creating parallel learning experiences by simultaneously addressing the curriculum expectations for both grades.

When planning the learning experiences, I colour code the strands, cut out each expectation and cluster them according to big ideas. This results in cross-strand learning experiences.

For my first series of learning experiences, I really wanted to invite my scholars to engage with number lines as a model that would help to make their thinking visible, but also as a tool for exploring many math concepts such as quantity and measurement. A number line is a line segment that can either be vertical or horizontal that represent a series of numbers that are marked at intervals. Re(introducing) number lines to my scholars early on in the year was important for me because I view number lines as an invaluable math model. Every day numbers lines are used to measure time – a clock; distance – a ruler; capacity – a measuring cup; temperature – a thermometer and mass – a scale. Number lines also allow students to model the strategies they use when adding and subtracting, as well as composing and decomposing numbers. Starting with the exploration of number lines proved to be an important first learning for my grade 3/4 math class.

Students were able to identify a variety of tools that have number lines embedded in their function.

Beginning the year this way was exciting but it was even more invigorating when I realized how many authentic, cross-strand connections that actually took place by centring the learning around investigating the use of a simple tool. The following are a few reflections from the journey:

1. Once the orientation of a number line was solidified, scholars were able to make connections between the number line drawn on the board with the number lines embedded in everyday objects.
The most prominent feature in my class at the start of the school year were the quantity number lines hanging from my classroom ceiling. These were made by cutting pool noodles into two-inch disk and placing them on rope. One was counting by twos (two-coloured pool noodles) and grouped by twenties to hang on the ceiling. The other was counting by fives with alternating colours and grouped by 25s. Students were invited to inquire about the quantity of pool noodles, the groupings, the skip counting, etc. and this became the introduction to number lines for the year. Using the quantity number line along with an actual number line that marked the perimeter of the front of my class, we explored the nuances of number lines by describing their directionality of increasing and decreasing quantity. We also explore the ways in which intervals could be marked on an open number line so that users didn’t necessarily have to always count by ones, but skip counting was made possible by using appropriate quantity intervals. We then named all the number lines that were present in the classroom. They noticed the clock on the wall to be a circular number line and the “How Much are Your Growing” height chart as a vertical number line. Excitement bubbled as scholars scrutinized the number lines we named by the elements of number lines that we had previously defined. They were set and ready to continue their investigation of how number lines could truly enhance their learning experiences as young mathematicians.

Quantity number lines hanging from the ceiling of my classroom.

2. Counting on a number line allowed number patterns and relationships to jump out at scholars.
Once scholars were comfortable describing the orientation and use of number lines, we began exploring quantity by representing skip counting on an open number line. We counted forward by tens by modeling jumps of +10 on an open number line and then later by nines. Scholars were able to name the relationships between counting by tens and nines by creating expressions that named the pattern (i.e. 10-1). We then explored counting forward by 100s, 50s, 20, and 11 to explore the other number patterns and relationships. Once scholars we comfortable counting forwards, we then counted backwards. They noticed relationships around place value, odd, and even numbers, what happens when counting by numbers with specific digits, and the nuances of increasing and decreasing values. The grade 4 scholars were then invited to apply their understanding of skip counting by whole numbers and moved deeper into counting by fractional amounts and decimal numbers up to tenths. Students were taught to use the number line to keep track of their thinking by using it as a thinking tool and not a picture. Hence, numbers and jumps were added in sequence as the counting progressed and not merely by drawing the elements of the number line and labelling them afterwards.

Counting forward by 9 using a quantity number line. Student notice and described patterns.

3. Using number lines as a tool for measurement invited scholars to apply their understanding of number concepts.
Measuring mass using a triple balance scale, capacity with graduated cylinders and time with a clock were all the more meaningful when scholars were able to apply their understandings of using number lines as a tool for mathematical thinking. This is how our Number Sense learning experiences married Measurement. When scholars measured mass using the triple balance scales, they applied their understanding of decomposing numbers into place value (including tenths for grade 4s) in order to calculate the mass of the item they were measuring. Similarly, when measuring capacity using a graduated cylinder, scholars needed to apply their understanding of skip counting in order to accurately represent the capacity using a variety of differently shaped and sized graduated cylinders that each increased by differently valued intervals. Given their prior knowledge of skip counting, and composing and decomposing numbers using number line, measurement became a context to continue to expand their understanding of quantity.

4. Counting on a number line open up the way to modelling mental math strategies for addition and subtraction.
Once scholars were comfortable skip counting, composing numbers and measuring different units of measure using number lines, adding and subtracting was a natural next step and application of their previous understanding. Using addition and subtraction strings (intentionally crafted equations to be solved using mental math strategies), I modelled scholars’ mental math strategies visibly on a number line. Scholars articulated strategies such as adding on, counting, back, compensation and even decomposing numbers in order to add and subtract. The application went through the roof when grade 4 scholars were able to demonstrate their understanding of elapsed time using these same strategies. This was especially helpful because scholars could be fluid with the units of time they were adding or subtracting (i.e. hours and minutes) and could avoid the complexities of the base-60 system of time (i.e. 60 seconds in 1 minute, 60 minutes in 1 hour) when it came to calculating time that involved “regrouping” which uses a base-10 number system.

Students articulated mental strategies while I modelled them on an open number line.

Student calculating elapsed time using strategies for addition and subtraction.

During these first months of school,not only was I able to introduce scholars to an invaluable learning tool, the number line, but I was also able to seamlessly integrate two strands of math and a multiplicity of essential number concepts. The number line has truly been a game changer in my class. I am already seeing the connections for moving forward with experiences that explore data management (scales on a graph) and geometry (side length attributes of polygons). …the journey continues…

November 23, 2015 Tisha Nelson Building Inclusion, Communication with Parents and Guardians, Differentiated Instruction, Diverse Learning Needs, English As Second Language (ESL), English Language Learners (ELLs), Equity, General, Integration, Literacy, Math, Use of Technology

Suggestions for Making Your Classroom ELL Friendly

This year I have the opportunity to serve my school as an English as Second Language (ESL) teacher for the first time. This privilege allows me to support students in Primary, Junior and Intermediate grades as they navigate the landscape of school and English language acquisition. But to be honest, I have alway been an ESL teacher. Since my very first year of teaching, my classes have always had students for whom English was not their first language. In this way, we are all ESL teachers regardless of if we have the designation or not. Similarly, if we take the notion of learning English literally, all of our students are English Language learners because they are constantly being introduced to new vocabulary and are learning the nuances of academic language for oral communication, reading and writing. In Ontario, however, the term English Language Learner or ELL, is defined as a student “born in Canada or newcomers whose first language is other than English or is a variety of English significantly different from that used for instruction in Ontario schools” (Many Roots, p. 51). Knowing this, how might classroom teachers tweak their practice to make their classrooms ELL friendly? I offer 4 easy teacher practices that will support ELLs in any classroom.

1. Keep expectations developmentally appropriate.
The ways we view our students determines the kind of learning we invite them to. This sentiment is particularly important to understand when designing programs that address the learning needs of students for whom English is a new language. Learning a new language, by any account, is a task of both perseverance and determination. As such, we need to be mindful that our English language learners have a multitasked learning situation. Focusing on the skills they bring from their native language as opposed to the limitations they have as they acquire English nurtures an asset based approach to engaging students as capable learners. When we embrace this mindset towards teaching English language learners, we can maintain high expectations for all students. Valuing the prior learning of all students, including ELLs in imperative in building upward to new understandings. Inviting students to share what they already know about a topic is always a great starting point for learning. Students who are English language learners have prior knowledge and this knowledge may or may not exist in their native Language. Regardless, valuing students’ prior knowledge solidifies the difference between cognition and language acquisition as two separate and distinct processes. For the most part, English language learners are developmentally ready for the learning that their peers are engaged in – they simply need to acquire the English skills to make the thinking that is already taking place in their minds visible in English.

2. Value students’ first language.
Nurturing an inclusive classroom community lets students know that they are both valued and respected as learners. Inviting students to continue to use and develop their native language is another way not only to accommodate ELLs but also to keep the learning expectations high. When students are able to use their native language to demonstrate their understanding and thinking in tasks that invite cognitive demand, the transition to English does not lower the expectation but rather accommodate the student’s opportunity for engaging deeply with ideas. The English language is further acquired when students translate their thoughts into English rather than the other way around. Valuing students’ first language can also be demonstrated by creating dual language or multilingual learning resources. With the partnership of students who are also native speakers of additional languages, parent volunteers, colleges and community partnerships, teachers can prepare translated learning resources for all students to use.

Students are invited to participate in collaborative learning experiences by expressing their ideas using their first language

Dual Language posters translated in traditional Chinese to support English Language learners in my class.

3. Develop new vocabulary in context with the help of online resources.
When students are invited to continue to use and development their fluency of their native languages, teachers can employ many new technologies that can support English acquisition while yet maintaining native language fluency. Using tools such as Google Translate can serve as a bridge between a student’s first language and English. Similarly, introducing new vocabulary in context makes both social academic learning more meaningful in English. An idea or word may not be unfamiliar to a student learning English in that they may already have an understanding of the concept in their native language. When this happens, using tools such as Google Images and YouTube can serve as a bridge to comprehension of and acquiring English words. Word walls are also useful resources for students in all grade levels and for all subject areas. It is a tool to support students as they acquire new vocabulary in the context of their learning. In this way, all students can be viewed as English language learners as they engage in expanding their academic vocabulary. The inclusion of students’ native language on word walls is a simple accommodation that goes a long way to supporting student learning. The gesture speaks to the value for the student’s native language and a respect for the process of learning English. Native English speakers can also benefit from the dual language approach in that they can be exposed to the languages of the world and additional ways of knowing.

I asked my students to add Chinese translations to our Math word wall. This highlighted the relationships between numbers, as the ideas of addition and multiplication are embedded in the ways Chinese numerals are written.

This is a screenshot of what a Grade 2 student, a stage 1 ELL, wrote as she was communicating an idea with me. I used Google Translate to take a picture of her writing and was able to translate and further communicate with her.

4. Embrace inclusive practices when communicating with parents.
When a student is an English language learner, it is important to also be aware of their parent or guardian’s experience with English as well. Whenever possible, supporting parents in the journey of their child’s language acquisition should be considered. Using resources mentioned above in addition to school-board translators and parent volunteers when communicating with parents is also crucial when English is also being acquired by parents. Ensuring that partnerships between students, teachers and parents is essential for the success of all children. We should be mindful to support parents who are English language learners in the context of the kind of communication that goes home, the necessary accommodations in place for parent-teacher meetings and the information needed for navigating the Ontario school system are essential in order to leverage the playing field for success.

The first page of a presentation to the parents of my students during Curriculum Night.

An assessment report sent home as communication to parents about student achievement.

Teachers in Ontario school are all ESL teachers and our students all, English language learners. Designing classroom spaces and learning opportunities with the principles of universal design will support English language learners but also enhance the learning experience of native English speakers. Keeping learning expectations high for all students, valuing students native languages and inviting parents as partners are essential ingredients to providing an enriched learning experience for English language learners. For more information check out the ministry document Many Roots Many Voices:Supporting English Language Learners in Every Classroom A Practical Guide for Ontario Educators https://www.edu.gov.on.ca/eng/document/manyroots/manyroots.pdf.

June 3, 2015 Lisa.Taylor Classroom Management, Differentiated Instruction, General, Inquiry, Learning in a Real Life Context, Literacy, Math, Year End Activities

Keeping Lessons Engaging to the End of June

It can sometimes be difficult to stick with the curriculum until the end of June. The sun is shining, you hear kids outside your window playing soccer-baseball during gym class, the room is sweaty, it is just time to be done! Resist the urge to abandon the curriculum for recreation, unless you can combine the two!

There are lots of fun ways to keep kids engaged until the very end of the school year. In my experience, the last month of school is the best time to do a big, whole class project.

One year, when studying Ancient Civilizations, we wrote a poem about some of the major battles in Ancient Greece. Then we drew on the Arts curriculum and made a set, props, and developed acting cues for the poem. We worked with the Media Literacy curriculum and marketed our production to the rest of the school and families. We did some math around how many showings of the play we would need to do if we had room for 35 seats in the classroom. We talked about what it would be like if we charged money for the show, what would we use the money for, how much would we get if we charged $0.25 per seat, $1.50 per seat, etc. What if your ticket included popcorn, how much would it cost? We purchased popcorn, popped it and measured how many servings we could get out of it. Then we did the math on how many bags we would need and how much we would need to charge for it. They worked out the math on how long the show was, how much time would be required between showings to get organized again, and then looked at the school schedule to see how many showings they could fit in during the day. They wrote reviews of the play for the newspaper, they wrote ads to go on the announcements, they even filmed commercials! They made a program to hand out, worked out how many copies they would need, they did it all.

The learning in this project was incredibly rich, and it was all culminating in the final 3 days of school when they presented their play multiple times throughout the day. This kept them busy, engaged, and connected to the curriculum for the last month of school. The last few days which can be chaotic, were a breeze. They ran the whole day, bringing classes to and from their play, presenting, and keeping the set organized and ready to go.

There are so many different ways you can plan for this last month to ensure the learning is rich, the students are engaged, and the days fly by! Inquiry Based learning is the perfect way to finish out the year. I had a grade 2 class that was very interested in restaurants. So we incorporated the social studies of food from around the world, and we turned out whole class into a restaurant that served dishes from different places around the world. Again, we did advertising, signage, lots of math around how much we would need of different supplies, etc.

Pick a topic that you know will hook your class. Then turn it into something big and run with it. You will be surprised at how much learning they get out of it and how quickly it takes over!

April 19, 2015 Lisa.Taylor Assessment, Before School Starts, Communication Tools, Differentiated Instruction, Diverse Learning Needs, General, Math, Resources

Bulletin Boards – Teaching Tool, Art Gallery, or Wallpaper?

Every classroom has bulletin boards, some have one, some have 10! It all depends on the space you have and how you plan to use it. It is easy to set something up with plans for it to change or evolve, only to find that 4 months later you haven’t touched it, taught to it, or even referenced it!!

In my experience, Bulletin Boards end up falling into 1 of 3 categories: Teaching Tool, Art Gallery, or Wallpaper. Some bulletin boards are a blend of two or even all three of these categories. It is important to make the most of the space you have on your walls, while being cognisant of the fact that many children find too much stuff on the walls to be distracting.

When planning your walls, make sure you check with health and safety regulation, as many school boards have a maximum percentage of walls space that can be covered to stay within the fire regulation. So before you hit pinterest for some great ideas, make sure you are even able to cover the space! In my classroom, I have 5 large boards that cover almost every space that isn’t blackboard, windows or doors. The space that the bulletin boards cover is actually above the maximum percentage I can have covered in paper!! So I can’t paper back my boards as it is a fire hazard.

Many teachers like to paint their boards so they look crisp and clean all year. Again, double check with health and safety, as it is often an issue as it adds weight to the board which might not have been considered when mounting it. Especially if you are the 10th person in the classroom to paint them because the previous colours didn’t suit anyone’s decor!

Once you have established what your health and safety guidelines are, you can start to think about what is going on the walls. Ask yourself a few questions before you put something up there.

1. How will this help the students? While a Word Wall CAN help students, if you slap it all up before school starts and casually refer to it from time to time, it is not a useful tool and it is just wallpaper. Make sure you teach to it. Make it with the class and do it organically!

2. Is this something we need up for more than just today? If you only need it for the immediate future, don’t make a whole board of it. If you want to show off student work, I find the hallway is the best place for this type of thing. It gets more “traffic” from other teachers/students/parents, and it isn’t a distraction to learning. If you do need it for more than just today, you may want to ask a few more questions before you decide where to put it!

3. Do I need to put it all up right away and on my own? As teachers, we hate to look or feel like we aren’t organized, prepared, and ready to go! I recall as a young teacher, putting up bulletin boards before the first day of school. Yes, sometimes I taught to them, but generally they were just wallpaper. Many of us are guilty of putting up the whole word wall kit the day we get it! It just looks so pretty when it is done! Put it up gradually, and with the class! This will make it a more meaningful teaching tool. As teachers, we like everything to look complete and not “in progress” – but having the word wall with just 3-4 words up in September is what your students need!

4. Am I done with this? If you aren’t using it anymore, and the kids aren’t, take a picture of it and take it down! The more “stuff” you have on your walls, the harder it is for students to find what they are looking for. If you don’t need it anymore, take it down!

5. Are the kids using this? Even when you read the research, do the work, cut, past, laminate, and put up a beautiful board, the kids may not respond to it and it may not be useful to them. If you put up a board for math showing single digit addition strategies to start off the year, if they have all mastered it by December, they probably aren’t using it anymore. We have a tendency to keep things up in lieu of blank space to avoid looking like we aren’t accomplishing anything as a class! If they aren’t using it, take it down, or teach to it more, modify it, model how to use it. If after teaching to it more, they still aren’t using it – TAKE IT DOWN!!

There are thousands of blog posts and pinterest boards dedicated to amazing bulletin board ideas. Before you put one up, make sure it is actually something you need, that will get used, and that you install it in such a way that the students know how to access it.

There are great blog posts about what to do with your bulletin boards when you are done. My personal favourite is to snap a picture and create a bulletin board binder. That way, if there is still one of two children in the class that still need that bulletin board, they can go to the binder and look at it all year long! It will also serve as a nice reminder of how they looked if you end up needing to recreate it another year!

February 27, 2015February 27, 2015 Shawna Rothgeb-Bird Literacy, Math

My Favourite Cross-Curricular Visual Arts Activities

I love Visual Art. It was always one of my favourite subjects in school and I was fortunate to have several teachers who engaged me in unique and exciting art projects. Tragically, I can’t have my students do Visual Arts all day, every day – bummer! Over the last few years, I’ve tried to find ways to integrate a bit of Visual Arts into many other subjects in ways my students don’t expect. Here are a few of my favourite projects from the last four years:

1) Quilts

What the project was: Working in groups, my class and another class of Grade 4/5 Middle French Immersion students designed, cut, and assembled baby quilts. At our annual art show, we ran a raffle for parents ($1/ticket). The proceeds from the raffle (over $300!) were donated to a charity. All of the material we used was donated by parents – much of it fabric ends from household projects, but some also salvaged from old pyjamas and blankets that were no longer wanted or needed.

What it taught my students: This project was a joint Visual Art and Mathematics project. From the VA side, it taught the use of tools (including electric sewing machines), complementary colours, patterning, and adapting to/solving design challenges. From the Mathematics side, it taught area and perimeter, measurement, and patterning.

What was challenging: We had 50 students cutting fabric, assembling quilts, and using sewing machines at the same time. The project took months (working one day a week) and the help of a few parent volunteers. I ended up giving up a few of my lunch breaks towards the end so that my students could finish their quilts before our art show.

2) Graphic Novels

What the project was: Students in my Grade 4/5 class each chose a fairy tale to retell in the form of a graphic novel. Their story had to be different in some way from the original without changing the overall message. They started by brainstorming, then created storyboards, then moved from storyboards to the actual comic panels.

What it taught my students: This was a joint VA/Language Arts project. From the VA side, it taught students composition, shading, line, perspective, and creating a narrative work of art. From the LA side, the expectations are always a little different depending on the grade level and program I’m teaching.

What was challenging: This project takes a long time. There are a lot of steps involved in getting to the final product, and students need a bit of guidance not to get too caught up in their storyboards. Many of them also needed to be encouraged to scale back their story so that it wasn’t 20 pages long – because 20 pages of comic panels is a LOT of drawing and colouring!

3) Carcassonne Variations

What the project was: Students in my Grade 4/5 Middle French Immersion class worked in groups to create their own versions of the board game Carcassonne. They had to plan/draw/colour their tiles and design a scoreboard. If they added any extra tiles that weren’t in the original game, they had to explain them with written rules.

What it taught my students: This was a joint VA/Mathematics project. I’ve used it to teach a variety of concepts in both areas. It changes a bit each year! For VA, I’ve used it to teach line, shape, colour, and texture. For Mathematics, I’ve mainly used it to teach probability (as the game involves drawing tiles from a bag) and fractions.

What was challenging: The first year that I did this project, I let students choose their own groups. Whoops! I ended up with several imbalanced groups – some with lots of artistic talent but who struggled with the mathematics side, others with lots of mathematical aptitude but who struggled with the artistic side, and everything in between. The next time I did this, I put students into groups, trying to balance artistic ability and mathematical aptitude… but as with any group put together by a teacher, occasionally my students had difficulty working together to plan and design a project like this.

Without going into too much detail, here are a few other Visual Arts activities I’ve done over the past few years:

Oliver Jeffers-inspired Picture Books (Visual Arts/Language Arts): We love Oliver Jeffers. His stories are whimsical, funny, colourful, and poignant. One of my favourite things to do with my students is have them create their own stories in the style of Oliver Jeffers. They get very creative!

Collaborative Mural (Visual Arts/community building): Each student received a piece of the mural without knowing what the final design would be. Their page had only black linework on it, with some areas coded to be coloured with hot colours and others coded to be coloured with cold. When they finished, we assembled them according to the numbers I had put on the back of each page.

Melted Crayon Art (Visual Arts/Science)

December 7, 2014 Alison.Board Assessment, Classroom Layouts, Differentiated Instruction, Diverse Learning Needs, Math, Planning, Professional Learning and Growth, Resources

Teaching Math

I have always considered myself more of an “English Language” teacher. So, when I moved into the junior and intermediate classroom, I felt less confident in my abilities to teach math. When planning for the year, I surveyed some other junior/intermediate teachers for recommended resources. And when planning for the classroom environment, I made sure to have a corner dedicated to math, which includes a gallery wall, manipulatives, math dictionary and texts as well as tools like calculators.

Although I was given a set of textbooks, I don’t plan or teach from the textbooks. I print the curriculum expectations specific to the grade for each strand, and use them as my guide in planning the units. Then I refer to some other resources for ideas in activities that involve group work or problem solving. Some of favourites to support my math program are:

Introduction to Reasoning and Proof, Grades 6-8: The Math Process Standards Series, by Denisse R. Thompson and Karren Shultz-Ferrell
Nelson’s Ontario Numeracy Assessment Package
Good Questions: Great Ways to Differentiate Mathematics, by Marian Small

By referring to these resources, I am able to understand the concepts that need to be taught and how to differentiate using broader questions for the range of math learners in my classroom. I enjoy providing mini-lessons on strategies to support the students as well as encouraging them to share their strategies with me and the rest of the class. Our math class has become engaging and interactive, not repetitive and boring as I had feared.

We use a gallery wall to display group answers to problems. This has become an invaluable way to quickly assess understanding. Students are given the opportunity to view the gallery, see how others have solved the problem, respond with their own ideas or suggestions and acquire new learning. A week of math classes includes a range of instructional strategies, independent work, paired and group work. One of our common “go to” questions is “Does this make sense?” We are aiming for understanding rather than rote learning of facts and steps (as I learned in elementary school). So, I am enjoying learning with my students as I discover new ways to approach and solve math problems.

December 2, 2014December 2, 2014 Shawna Rothgeb-Bird Differentiated Instruction, Diverse Learning Needs, General, Math, Use of Technology

Why I Love Teaching “Unusual” Things

I have a bit of a reputation for being a quirky teacher. My students can often be found in the hallways at school, engaged in some strange new whim that I have managed to tie into the curriculum in some way. There just isn’t enough room in a traditional classroom for my students to really get into their work without feeling cramped or overwhelmed by the proximity of other sutdents.

Up until this year, my classroom was located on the second floor of the school, surrounded by other hard-working classes with students who were much quieter and more studious than my boisterous, exuberant class. I think I know why I was moved to the bottom floor this year, and I can sum it up in one word: ukulele. I’ve talked about teaching ukulele before – about how it benefited me tremendously, because I never have to teach dance any more.

What I didn’t really talk about was how the ukuleles – and other unusual undertakings like them – benefit my students.

First, let me tell you a little bit about some of the more unusual or exciting projects my students have worked on over the last few years:

– Melted crayon art: Using hair dryers, hot glue guns, bristol board, and a lot of patience, my Grade 5s explored physical changes of matter by using wax crayons to create works of art for our annual art show.

– Original musical compositions: Using online musical notation software, my Grade 5s composed original pieces of music to accompany short stories they wrote for French Writing. The following year, I had my Grade 5s use the same software to create pieces of music that represented different fractions. One activity, multiple curriculum connections!

– Board games: In Mathematics, my Grade 4s and 5s created their own versions of the popular board game “Carcassonne” to explore fractions and probability.

– Quilts: For our art show last year, my Grade 4s and 5s designed and created small quilts using sewing machines and donated fabric. The quilts were auctioned off and the proceeds were donated to charity. This project was a part of both our Mathematics and Visual Arts programs.

– Dream homes: I have had Grade 4s and 5s design their “dream home” using a set of parameters (specific area and perimeter, specific rooms they must include, etc.).

– Weblogs: As part of my Language Arts curriculum, I have had my Grade 4s and 5s create personal weblogs (password protected) where they responded to writing prompts, wrote about their lives, and read and responded to peers’ posts.

It has been a phenomenal experience teaching my students to do these things. Some of them are REALLY fun, some of them are REALLY hard, but they have all been beneficial. These projects have allowed my students to explore the curriculum in ways that they wouldn’t have imagined on their own.

You’ll notice that a lot of them have to do with Mathematics – and that’s been a conscious focus on my part. When I ask my students at the beginning of the year what their favourite and least favourite subjects are, the majority of my students list Math as one of their least favourite subject. I try to change that by having them look at Math in a different way. A lot of my students don’t realize, at the beginning of the year, that Math is an integral part of music and graphic design. It’s exciting to watch them discover fractions and patterns in a musical composition, or figure out ratios to make different colours in visual art, or carefully and painstakingly measure out quilt squares to ensure that they will fit within the design they have envisioned. These activities help my students see that Mathematics has more to do with everyday life than just adding up numbers or memorizing multiplication facts. They see why Math is important to learn and how they might actually use it in the future. It is made less abstract by being placed in a real world context.

The blogs, on the other hand, give my students a purpose for their writing that goes beyond “writing in a notebook that only my teacher will see.” Their voices as writers change when they are writing for their peers instead of their teacher. It’s exciting to watch them interact in their second (or third, or fourth…) language through the comments on their weblogs. It’s also a way for them to make connections with other students that they might never have spoken to or sought out before. I have watched new friendships form in our protected online sphere, then watched as those students brought that friendship into the real life classroom. By having them write for one another instead of me, I find that my students are more willing to take risks with their writing and worry less about getting it “perfect.” They have fun. They talk about things they wouldn’t have talked about before. They enjoy writing.

These projects take a lot of forethought and preparation. They are not small undertakings by any means, nor are they particularly easy. There is a learning curve with these kinds of things, and not all students will enjoy all of these activities. It’s worth doing things a little outside the traditional realm of teaching, though. I’ve never seen some of my students laugh as much as they do when they’re making up a ridiculous song on the ukulele about smelly feet. I also never imagined that a group of very athletic, very boyish boys would take quilt design and sewing quite as seriously as some of my students did last year.

The best part, though, is seeing every student in my class find something to be proud of. Sometimes it’s the fact that they got up and performed a song in front of the class, other times it’s the new skill they learned, other times it’s that they actually knew HTML before I taught students how to make weblogs and they were able to jump in and help other students learn. It is really exciting and rewarding to see my students engaged in these activities and taking charge of their learning.

Even if I’m a giant disruption to my colleagues when I take over the foyer of the school with six sewing machines (and 50 students) every Monday morning for two months straight… or when my 25+ students are scattered through the halls of the schools plucking away at the strings of their (mostly out of tune) ukuleles… or when we blow a breaker on one side of the school with all our hair dryers so none of the hallway outlets work.

I am that teacher. My students are those students.

We have a LOT of fun learning.