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.

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Allies

The word ally is typically defined as a nation or state cooperating with another for a military purpose. As with most words it of course has been expanded for many uses but retains the meaning of being on your side. So the question I ask you today is, as a teacher who are your potential allies?

From the minute I enter into my school I have an amazing opportunity to make allies, get people to support the work I do with my students, school and community. Allies are everywhere but like countries you must take the time to build up relationships to develop those allies. When you do that, they will be there when you need them most. I am going to talk about several key allies that I have in working with my students and how without them there are many things I would have much greater difficulty accomplishing.

The first ally is of course the parent(s) of my students. Let’s be honest, we both really want what is best for a child even though we may not agree on how to accomplish that. From the moment I know a child is going to be in my classroom I reach out to families to try and start building that working relationship. It starts with a simple call home the week prior to school welcoming them and their child to my classroom. It continues on with my first Weekly News letter home by asking them to brag about their child as they know them best as well as asking them to prioritize two goals they would like their child to accomplish this year. This helps sends the message they are a part of the formula to create success for their child. I continually update them with sunshine calls home, weekly news updates, inviting them to attend events in the classroom and any other way I can include them or make use of their expertise and assistance in my room. Of course not every parent becomes my ally or totally agrees with every decision I make. There will be some parents who just won’t or don’t engage in your efforts. This work I put into recruiting parent allies always pays off with some very strong relationships that are there when I need them most.

The second set of allies I work hard at creating are with the school support staff such as our office manager and custodial team. These are key people who are the heart and soul of the school and can be there to support me in many situations when I need the help. One of the most unique request I made of our custodian was to have our front classroom door taken off so my class could create a drawbridge door for our Medieval Times study. Needless to say I had to have a strong relationship with that person to make and receive such a request. Our office manager (and every office manager) is the heart of the school. He/she is the first and often last person everyone sees when coming to our school. That role is so important and my class spends time on a regular basis showing how we appreciate the work she does. That time and effort has helped me many times over the years when I need a last minute request or forgot some important deadline.

The final ally I want to talk about is a community-based position. My class spends time doing service learning projects and as such we need to have people who trust that I can take a group of 8-11 years old out into the community and perform projects that enhance our community. I have worked a lot with city environmental personnel who over the years have come to value and trust our staff and the request we make. There are community agencies and people who can also become a potential ally for you.

As I began to change the lens upon which I viewed my classroom I began to see more and more how many potential allies (support) I have available to me. I do not have to do this on my own. My educational team continues to grow as I grow relationships and take advantage of the opportunities they can provide me in supporting my students and my professional growth. Allies do not just happen, you must work at creating them.

Options

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

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

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

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

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

Who? What? Where?

One of the anchor charts in my classroom states that Reading is… Remembering and Understanding. This is what I use to help students understand that good reading is so much more than word decoding. In my classroom I am often faced with trying to help students who have difficulty in their reading comprehension. They lack the ability to recall what they have just read or their recall is very generic and lacks specific details. I have developed a game to help improve a student’s ability to recall the specifics around characters, main events and setting. This learning task is called Who? What?  Where?

IMG_1794This is a three phase unit. The first step is to model it using a read aloud novel. After each chapter we pause and take a minute to review the characters that were a part of that chapter, what were the main events that occurred in that chapter and finally where did that part of the story take place. I do this for about two or three chapters into the novel. From there we move to a graphic organizer where they now have to answer questions I have created about a chapter after it has been finished. The questions are designed to elicit one or two word answers and thus can fit easily in the boxes on the page. The other purpose for the short answer is to focus on comprehension and not spelling or sentence structure. After each chapter I ask three questions, one of each type. As the chapters progress, the questions become more and more specific and thus a deeper recall gradually begins to occur with my students. The students earn points based on their ability to recall accurate information. For most students this is a motivator by itself.

IMG_1795The final stage of this unit is to transfer the learning that has occurred to an independent reading task they complete. This is called their Book Project. They are able to select a book that meets the following two criteria:

  • It has to be at a level that is just right or challenging for them (teacher approved)
  • It has to be a narrative (thus focusing in on the three elements of a story characters, setting and main events)

From here they now have to read their novel, decide on a way to share their understanding of the story (that best fits their learning style) with their classmates and teacher. It is here during this summative task I find out what gains have been made by students in their reading comprehension as well as finding further gaps that need to be addressed in the upcoming reading lessons. A natural progression that occurs is also the move away from just basic recall and the move to more critical literacy questioning and answering. But as many students have taught me, they need to have well grounded foundation skills prior to moving into higher level thinking skills.

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Student surveys

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

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

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

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

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

The upside of encouragement

Photo by Peter Kratochvil https://creativecommons.org/publicdomain/zero/1.0/
Photo by Peter Kratochvil https://creativecommons.org/publicdomain/zero/1.0/

It’s that time of year again. Autumn leaves have turned colour and fallen without a care to the ground. Halloween candy supplies are at seasonal lows and sugar fuelled misbehaviour incidents are subsiding.

There is a love-hate feeling attached to this time of year. A love of the beauty that nature has bestowed upon us, and a hate for the extra work it adds to the lives of many. How we see this season may define our perspectives in many areas of our lives. I will not be raking this year, but always take time to enjoy the changing colours.

Fall is also a time for appreciation and reflection. For many educators, it means time to write Progress Reports. It can also be a time of mild anxiety on both sides of classroom.

Teachers might be asking, “Have I assessed enough?”
“Did I give students enough opportunity to demonstrate their understandings?”
“Did I do everything I could to foster success?”
“Did I catch it when they were successful?”
“What will parents think of my assessment of their child?”
“What are the next steps in my class before the next reporting cycle?”

Students are probably wondering how they are doing too?
“Did my teacher notice that I am trying my best?”
“Did I do everything I could to succeed?”
“What marks will my friends get?
“Am I below, at, or above average?”
“Will my parents be happy with my marks?”
“Am I happy with my marks?”

Come to think of it, I have been thinking a lot about assessment lately. Educators assess for, as, and of learning. We use conversation, observation, and product to quantify student achievement and qualify our instructional methods. We have achievement charts, success criteria, and demonstrations of understanding all orchestrated to associate a grade, mark, or secure a checkpoint before moving forward. There is however, another key catalyst to move our students towards success. And that is encouragement.

Think of it this way. Have you ever been complimented by someone after something you did? I’m sure it was encouraging? Of course it was because you were noticed and validated for your efforts by someone else. I always value when someone takes the time share their appreciation for something I’ve done. Even when I didn’t see it myself. Each time I receive encouragement makes me want to work even harder. Our students respond this way too.
Why wouldn’t they?

When I look at what educators hold in their actions, words, and interactions with students – it is the power of encouragement that can make the biggest impact. So how can we use it to empower our students to succeed? Have you ever seen a student happy after receiving a mark, or feedback that only magnifies what was wrong with their work? How about after you complimented them after a job well done?

Students, usually, know where they stand in the classroom, whether they are budding on the tree, or withering. This could be emphasised for the better every time educators choose to acknowledge the good that is in each of their learners. Bandura shared that, “Teachers should also encourage students as a way to enhance their self-efficacies and thus improve their learning.” Some might call this Strengths Based Learning. For me encouragement is a simple, yet crucial instructional tool which promotes a positive outlook on effort, learning, and assessment.

When students are encouraged they are free to become risk takers who are safe to try, safe to make mistakes, safe to fail, safe to try again, and always safe to learn. As the marks fall on this year’s progress reports, with encouragement, students will see the beauty in their efforts instead of being raked over for their work.

Positive vs Negative Student Balances

When you look at your bank account you work extremely hard to ensure you always have a positive balance. By having a positive balance you are able to pursue so many options in how you may use that surplus. When you are not able to keep a positive balance, you become very limited in the options you have and may in the worst circumstance go bankrupt.

I look at each and every child and each and every family in that way. I start in September with a zero balance as I am just opening up that account. From the first minute I interact with each child as well as their family, I am either making deposits or withdrawals. Each and every positive statement I make, word of encouragement I offer, inflating vs deflating statement said, either builds that account or reduces that account balance.

When a conflict occurs (and it will) you are now having to look at the account you have created and will make a withdrawal as you help that child understand the choice they made and how to learn from it. If you have a built up a strong, positive balance with that child you are able to make that withdrawal without having any ill effects on the relationship that exists between the both of you. If it is a call home in regards to a negative scenario that occurred at school, the family’s reaction will be either supportive or defensive depending on the balance you have established at home with the parent(s).

I use a variety of tools to help foster a positive balance. The two most effective for me are ‘Sunshine Calls’ and rephrasing my comments when I react to the day-to-day events that unravel in my room. In a sunshine call I am truly just trying to send a positive message to each family about their child. It can be as simple as a comment about a great writing effort that occurred today, how their child read aloud for the first time in front of his/her peers or what a positive decision they made not make a small problem bigger. Over time I can actually hear the change in how the parent reacts to me once they recognize their child’s teacher is calling. Within a few months, the calls home are very sociable and appreciated by the family.

The second strategy took me a while to develop. I had to literally think about how and what I would say when events occurred. First I had to examine my approach and found that my initial comments were deflating or withdrawing from that account balance. For example if a student made a mess, I would say, “ You need to be more careful and not make a mess”. This type of statement always puts a student on the defensive. I am learning to rephrase my comments to be able to send a message but not put a student on the defensive. I now say “ Are you okay, accidents happen to everyone. How can we clean it up?”

A very unintentional but amazing benefit of this approach was that I was modelling for my students each day how to be respectful to each other in the way they communicate. Soon, this type of positive communication becomes the norm of the class. There are less and less conflicts between students simply due to the way they learn to communicate with each other and the people around them.

 

Ontario Student Record Search

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

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

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

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

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

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

 

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Meet the teacher night

Tonight was open house at my school and as usual parents wanted to know how their son or daughter were performing. This is always an interesting question to answer because parents want to know about math and language and I want to tell about how they are getting along with others and how polite and helpful they are.

It’s interesting to see that what a teacher values teaching the most is not always what would come up at a meet the teacher night. I hope that in my program I can help children with their math and language as well as help them treat others with respect as well as help them make our class a friendly place.

As a young teacher, I am always hoping that parents will be on board with the new shift in education, away from tests and onto rich learning experiences. Sometimes I wonder if after my students leave me, that I have failed them if they start to take tests and have no idea what they are doing. I do see the value in showing how much they know on a piece of paper as many high schools still work with this model, but I am always wondering how that will help them in their future. I understand that test writing is an important skill, so I need to think of ways to include this in my program in the future.

I am working on making our class a very open and comfortable space for learning right now and I am hoping in my next post to share about how the alternative seating is making the student space an amazing place to work. I hope to see the benefits of the seating and I am excited to take pictures of student learning experiences and share the stories.

 

The H word

Homework board-928381_1280Homework (shudder). It’s like two perfectly decent four letter words have conspired to become super villainous by joining forces. For most students, it’s part of a nightly ritual.

I get it. My parents used it as a polygraph test, of sorts when I was younger, by asking the same question after school each day.
“Did you do your homework?” 

We’ve all had to go through it, but now as teachers we must wrestle with the pros and cons of having to assign it to our learners…or not.

So as the year begins and questions of “To assign homework or not to assign homework?” bandy around staff meetings and grade teams. I want to share some personal thoughts on this 2 x 4 letter word and ask you to reflect on how you use it in your learning spaces?

Homework is not always where the heart is.

I love home, and I like work. For me, home is a place of relaxation, retreat, and support among family. Work is my home away from home. I have a family of caring colleagues and a classroom filled with students in possession of boundless potential. However, when it comes to homework I feel that things have changed since I was a student. My memories of homework hearken back to 1000s of pages of banal reading from largely outdated textbooks which I like to call knowledge coffins, redundant work sheets, and largely irrelevant content which seemed disconnected from my life.

Like all the good learning soldiers in my day. I did it, knowing of no alternatives. I wonder whether we gained any advantage from the discipline in completing assigned tasks, or lost a little of our desire to learn for never asking why we were doing it and where it would matter to me?

In my class when homework is assigned, it must be relevant to a larger idea that requires consideration beyond the classroom. That might mean asking students to lead a conversation at the dinner table or on the way to hockey practice with a captive audience. I remember assigning my Grade 5 Social Studies class the task of asking their parents, “What they would change about the government?” followed by, “Why do we need the government?” the next night. The conversations that resulted allowed students to lead, share, and gather ideas as they build on in class concepts/schema and then were able to take it back home to add on a broader family perspective. When they came back to school their responses were rich, often humourous, and engaging. Mission accomplished.

Some Irreducible Minimums

I do assign something for students every night, 30 minutes, or more, of reading. Don’t judge me! This is non-negotiable. Students do not have to show me proof, but are expected to develop their own positive habits around reading, its genres, and via any media of their choice.

Additionally, I’ve created and assigned flipped lessons using TED Ed as homework. Students view the lesson content, get to look at the guiding questions, and are able to browse additional resources to establish initial understandings on a topic. When we tackle the work the next day, my students are already familiar with the concept having prepared for it the previous night. I can track their progress via the TED Ed Lesson platform and provide feedback and next steps too.

On other occasions I have encouraged students to help out with the dishes or with other chores without being asked. The results have been so positive for everyone after the initial groans. But hey, they groan when you assign homework too. Perhaps it’s time to rethink the purpose of homework? Kids can thank changes in socio-economics, urbanization, and the Space Race.

It’s only since the early 20th century where homework became de rigueur in education. Even then the fervour in its favour continues to ebb and flow. We have to remember most kids were working at home before and after school to help their families. It’s what people did. There wasn’t time especially when there were chores to do.

Nowadays, more and more students enjoy a quality of life, and abundance of free time far removed from their homework deprived agrarian predecessors. Instead, students are filling their evenings with music lessons, participation on one or more sports teams, tutoring, and or second language classes. With all of the extra-curricular activities there is little time left at the end of the day when homework is added into the mix. I’ve had students say to me they couldn’t complete work citing one or all of the above reasons.

In a his post on homework from earlier this year, Mike Beetham shared a powerful experience in his piece Homework or No Homework. I love the consideration he puts into his practice. The final lines of this post serve as guidelines,  encouragement, and validation of the educator’s ability to use professional judgement when it comes to assigning homework.

“Homework for the sake of homework is not a productive component to any student’s learning. It must have a specific purpose that is helping meet the targeted academic outcomes of the classroom.”

How about you? Where does homework fit in with your pedagogy? Do you assign it to placate parents who insist their child have something to do at night? Do you vary the work from subject to subject each night? How do students who are chronically unable to complete homework get supported? Is the work you assign traditional in the sense of reading and responding to questions in writing? Do you post work via electronic classrooms or other apps?

If you’d like to discuss more about this post or learn more about TED Ed please take time to comment and I’d be glad to share more with you.  Reach out via Twitter or below. Thank you for reading this post.