Tag Archives: math

Math & Proportional Reasoning in FDK

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As a student, I was always afraid of math. To me, it was hard and that was that. I can’t recall too many teachers who tried to make it fun or meaningful to me and instead, I just remember a lot of textbook work and rote learning that never quite ‘stuck’ with me. Math just seemed so abstract and since I relished in creative tasks, math was just not interesting to me and even a bit scary because of how far away from reality it seemed. I can honestly say that I learned more about math after my school years than when I was in school.

The real mathematical learning came when I had to use numbers in everyday situations and when ‘playing with numbers’ took place within authentic experiences. I learned a lot, for example, by simply becoming a cashier at my first part-time job. I had to add, subtract, multiply and divide quickly and on the spot. I learned how to round numbers, estimate but also how to be a careful counter. Being off, even by a few cents, meant I had to do some major backtracking in order to catch my mistake and that definitely wasn’t how I wanted to spend the last half hour of my shift. As I’ve gotten older and began earning money, paying bills and making larger purchases, I’ve continued my learning, now really ‘feeling’ the direct consequences of any miscalculations or poor spending choices. As a result, most of my mathematical knowledge and understanding of numbers has come from my own day to day living – not from school.

But becoming a teacher has made me realize that my experience of math as a student was extremely unfortunate and it’s definitely not how I want my own students to experience math. Had I been given the chance to learn math through play and hands-on investigations, more meaning would have been given to the math facts I was learning about. Perhaps math wouldn’t have been so scary. Better yet, I might have grown to love the challenges math provided.

As a teacher, I want to create learning experiences that can be accessed by all of my students, regardless of their abilities or learning styles. I know that the explorations need to be as authentic as possible for children to ‘connect’ to them and find practicality in them. Rather than frame math as a separate and abstract subject or set of skills, math needs to be woven into all parts of the day to show students that math really is everywhere. For instance, just as I enjoyed creative pursuits as a student, I want to integrate this component into math-based activities to attract and inspire other children who have similar interests. Most of all, when I invite children to participate in math-based activities or when I intend to ‘draw out the math’ in a spontaneous teachable moment, the main thing I want to accomplish is to make it fun. It sounds so simple and so obvious but I think it’s so important.
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In this post, I will highlight some of the math games and activities that my students took part in this past spring. Hopefully you will be able to see how I made special efforts to keep learning about math hands-on, authentic and fun.

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Blasting Off Into Inquiry!

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I may have gone a little overboard there but you get the idea: Our Space & Gravity Inquiry has not only taken off but has become a richly engaging learning opportunity with limitless possibilities for our SKs. I must say, this inquiry has been one of my favourites to facilitate. I can shamelessly admit with a sense of pride and honour that I have been learning alongside my students every step of the way and it has been utterly rewarding.

As a child I did not have much exposure to this topic area and I’m not sure scientific concepts were ever explained to me in ways that captured my interest and motivated me to explore more. As an adult I’ve come to understand how much of that was partially a result of the kind of education I received. Back in the early 90s when I began my schooling, inquiry-based learning was definitely not “on trend” nor understood by Ontario’s education system. I learned primarily from textbooks or chalkboard lessons and rarely participated in interactive activities. The topics covered were the same ones that were covered the last 10-20 years and were delivered in mostly the same way. To me – and probably many of my classmates – school was where you went to listen to and then remember information being presented by your teacher. I was marked on how well I retained that information and was expected to demonstrate it and “prove” my understanding at the end of each unit in some form of a test or big assignment.

Now, coming from a family of artists, I loved art. I loved drawing, colouring, painting, crafting, experimenting with line and texture and form. My teachers often took notice of my talent and that began to define me, as a person and as a student. As much as I loved art, when I reflect back on my childhood, I question whether or not my abilities outside of art were ever noticed and nurtured to their fullest potentials. In fact, I would argue that they simply were not. I was that kid who made the eye-catching art displayed in the hallways. As I grew older and entered University, I started to feel that my art was not all I wanted to be and began exploring what else I was capable of by pursuing a degree in Sociology – completely shocking my friends and family who assumed I would’ve went into the Arts. I learned so much about myself in those years but what was most life-changing was my realization that: I was, and could do, more than one thing; I could use my mind in other wonderful ways. I found out that I got so much personal fulfillment from learning about the world, researching, reading, analyzing, teaching and creating through my writing as opposed to exclusively through my art.

All of this to say that – what I want for my own students is something more than what my childhood school experience offered me. I don’t want my students to go through school being pigeon-holed into one area of strength in their abilities – or worse, being labeled based on their weaknesses. I don’t want them sitting and listening to my voice all day long. I don’t want them being forced to learn things that are completely irrelevant or uninteresting to them. I don’t want them to be afraid to ask questions and to question even their own teacher when they’re unsure. I don’t want them being assessed only at the ‘end’ of a unit or inquiry and in only one way.

What I want is for them to be thrilled about going to school to learn new things. I want them to be inspired to share their own ideas, thoughts and opinions and to allow these to evolve. I want them to realize that they have a ton of knowledge, understandings and potential within themselves and to offer the world. I want them to ask questions – lots of them. I want their understandings of curriculum content and larger concepts to be assessed using authentic strategies that recognize the many ways and opportunities people can demonstrate their learning. I want them to learn to think about their own thinking and to push their thinking further. I want this to happen while they are still young enough for it to all make a difference and shape their future. This is what I want.

So now, as we begin to unravel and witness the magic and wonderment that has been made possible by this Gravity & Space Inquiry, I encourage you to consider how all of us – in each of our different roles – can contribute to the educational experience I’ve described above. Educators, administrators, families, community members – we can all teach children to love learning. How can you help to shape a child’s vision of herself as a strong, capable and courageous learner?

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Kinderbucks + Meaningful Play = Inquiry!

Kinderbucks Continues; Understandings Deepen

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Shaw was an Irish playwright and socialist during the 1800s. In his text, Treatise on Parents and Children, Shaw claims that formal education of the time was deadening to the spirits of children and detrimental to their intellectual development. He advocated for an approach that was child-directed and inquiry-based.

Kinderbucks continues to be a popular spot to play, explore and learn. As the children play, I try to simply observe as much as I can. When the moment seems appropriate, we sometimes enter the play and expand their understandings by having them draw on their own experiences at coffee shops to help them better focus their role playing.

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Here you can see how neat and tidy the children have been keeping Kinderbucks. They take pride in keeping it this way because of the sense of ownership they have over it – it was their idea in the first place and much went into it’s planning! You can also see children taking on various roles such as ordering, serving, baking, and making receipts.

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Learning About ‘The City’, Learning About Life

Happy Thanksgiving Weekend everyone!

Something to Contemplate…

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Carlina Rinaldi is the President of Reggio Children – the International Center for the Defense and Promotion of the Rights and Potentials of All Children – and has worked closely with Loris Malaguzzi, pioneer of the Reggio Emilia Approach to teaching and learning (the approach that inspires my own work). You can learn more about the Center and this approach by visiting www.reggiochildren.it

Essentially, this quote captures nicely, how adults – parents and educators alike – need to slow down and simply listen and observe children. Rather than demand responses from children, we need to give them the time they need to process, ponder and ask questions, themselves. Likewise, rather than immediately provide answers to children’s questions, we need to give them the time and space necessary for them to come up with an array of possible solutions and to consider where and how they can search for answers that make the most sense to them. Giving children these opportunities sets them up for a future of lifelong learning and teaches them how to function in a 21st Century world where so much information is available. By doing so, they learn to consider multiple perspectives and solutions, to sift through those possibilities and to choose which ones speak to them. Like my website’s slogan states, it is our duty as those that watch and guide our future generation, to find ways to ignite the spark for learning within children. This approach empowers children in becoming courageous learners – learners open to taking risks and appreciating the various pathways to seeking answers. You can read more about this within my post, A Little Bit of Courage

Now, keeping all of that in mind, onto this week’s learning…

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The City Inquiry Deepens

Combinatory Play’ and the Creative Process

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I’d like to set the tone for this post by highlighting something once said by the amazing, Mr. Albert Einstein: “Play is the highest form of research”. Einstein is credited for having strong feelings regarding the importance of liberal arts within the education system and for his belief that the secret to true genius lies in ‘combinatory play’ – the process of creativity. The more one partakes in joyful play, the more she is able to combine and recombine a collection of new knowledge, information, memories, inspiration, and existing ideas in order to produce new ideas. If you’d like to read more on this, you can check it out on BrainPickings. Within our classroom, children are given many opportunities to play and are also given the tools and guidance to learn how to learn. Discover what we’ve been up to this week…

A City-Sized Inquiry!

Our City Inquiry continues to deepen through many explorations and learning experiences. Although you can’t really read the writing or see the photos, I wanted to give you a glimpse of our city inquiry board that is in the works. Come on in and see it close up!

Documentation boards/panels like this, have several purposes. First of all, they make the students’ and educators’ thinking visible and showcase the processes and pathways occurring throughout the room around a certain inquiry (in this case, the city). A shared understanding is created and ongoing dialogue and reflection is promoted through the display of the photos, work samples and captions. Documentation panels allow educators to celebrate the rights of individual learners (perspectives and talents are vast within every class) as well as make it clear to the children that they are being honoured and respected for having ownership over their learning (the children themselves, decide which direction to take the inquiry based on their interests, wonderings and experiences). By highlighting the inquiry, making it clear what is happening and where it started from (the beginning experiences or thoughts that began the inquiry), children also feel a sense of accountability over their own learning and the learning of their peers.

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An Inquiry Emerges… and Much More!

Welcome back to another update on the happenings in Room 209! The past week has been quite busy and exciting. In my own life, I have begun my additional qualifications course, Kindergarten Part III, which will allow me to acquire my Kindergarten Specialist. As much as I’m enjoying it, it is definitely an extra work load. That being said, my blog posts may be shorter on some weeks and it is also possible that I may skip a week here or there. Rest assured that you will be caught up sooner than later so be sure to check back frequently.

Now, on to the learning…

I’d like to start this post off with a quote from everyone’s favourite neighbour – Fred Rogers.

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Fred Rogers – everyone’s favourite neighbour – had an amazing outlook on the magic of childhood and the wonders of learning.

This has been the week that I’ve noticed some real friendships blossoming in the classroom. It has been such a pleasure to witness and has really added to the quality of learning going on. Collaborating, working together and connecting with others allows children to form their own personal identity as well and to see themselves within the scope of a larger, social group. As toddlers, children generally have not yet grasped the concept of ‘others’ and can only comprehend a world in which they are the center. Establishing social and self-awareness leads children to deeper exploring and better understandings.

And so begins our journey…

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