Archive for the ‘Uncategorized’ Category

October thinking together: What is balanced numeracy?

Posted on: October 31st, 2017 by jnovakowski No Comments

This year I am going to share a monthly focus as a way for educators in our district (and beyond, of course!) to think together, collaborate and share ideas around K-12 mathematics education. On the list are number sense, estimation, reasoning, spatial awareness…it is a list in progress so suggestions are welcome.

My intentions are to begin each month with a blog post highlighting the focus area in our BC mathematics curriculum and connecting it to the broader field of mathematics education. I plan to share links to websites and resources, share books that I have found helpful and provide examples of mathematical tasks from Richmond classrooms. During each month, I will also tweet out related links, ideas, blog posts and photographs from classrooms.

For October, let’s consider what is balanced numeracy?

I have been fortunate to be a part of a Ministry initiated project drawing together educators from across BC to form the BC Numeracy Network. Our first project together was to consider balanced numeracy within the redesigned mathematics curriculum.

Screen Shot 2017-10-31 at 1.43.42 PM

 

The BC Numeracy Network has created a website full of linked resources to support teachers’ professional learning: https://sites.google.com/view/bcnumeracynetwork/home

 

(more…)

summer professional reading: Spatial Reasoning in the Early Years

Posted on: August 2nd, 2017 by jnovakowski

IMG_6498Spatial Reasoning in the Early Years: Principles, Assertions, and Speculations

by Brent Davis and the Spatial Reasoning Study Group

published by Taylor & Francis, Routledge, 2015

 

 

 

 

This book isn’t really a typical professional resource for teachers – it is much more of an academic read. The Canadian authors are all affiliated with universities and their areas of research intersect around spatial reasoning, particularly in the early years. Their work draws about mathematics, education, neuroscience, psychology, art and more.

I have had this book for awhile as this is a particular area of interest for me and is inspiring our work for our BCAMT Reggio-Inspired Mathematics project. I attended some presentations affiliated with this group’s work at the PME conference in Vancouver in 2014 and I think it is important work for classroom teachers to consider as we try to broaden our thinking about what mathematics is, what different entry points there are for children seeing themselves as mathematicians and for using instructional tasks in classrooms that are research supported.

The authors begin with a working definition of spatial reasoning and a list of dynamic process in verb form such as locating, balancing and visualizing. The book concludes with a refined definition/framework for spatial reasoning. The chapters in-between zoom in on aspects of spatial reasoning written by small groups of contributing authors. For example, there is a chapter dedicated to the research that supports that spatial reasoning is not a fixed trait and is something that can be developed. Much research on embodied knowing and embodiment is shared as well as interactions between two and three dimensions. Throughout the book, as an imperative for re-imaging what we think of in terms of school mathematics and “geometry,” the authors refer to the research studies (such as Duncan et al 2007) that claim that spatial reasoning in four and five year olds is a strong indicator in overall school success as well as more specifically, literacy and numeracy.

IMG_6499There are a few helpful tables/graphics to help understand key concepts and that I will share in my work with teachers. This one to the left is a typology of different types of spatial reasoning which I think is important to consider in instructional planning and assessment.

 

 

 

IMG_6065One of the reasons I chose to read this book this summer is that some of the contributing authors in this book worked together on the Math for Young Children (M4YC) research project in Ontario which is the foundation for the wonderful book Taking Shape: Activities to Develop Geometric and Spatial Thinking K-2 – a book that is well worth the investment to have in elementary school professional libraries. This book is an excellent example of how a professional resource for teachers can show the theory to practice flow and intersection.

~Janice

reflections and highlights from 2016-2017

Posted on: June 29th, 2017 by jnovakowski

To say this has been an interesting year in our district is an understatement. We began the year with a new email system, a new “portal”, a new eportfolio platform, a huge changeover in our district curriculum department all while under the umbrella of the full launch of BC’s K-9 curriculum framework across all subject areas. New layers were added as information about communicating student learning and core competencies self-assessment were added to the mix. We began the year with uncertainty about school closures and ended it with concerns about whether we would have our jobs and where money would come from to fund teaching jobs in our district.

In all of these twists and turns, there were some downs but also many ups.

There were many opportunities for educators in our district to come together and figure everything out (an ongoing process for sure). Professional development days, our Curriculum Implementation Day, professional learning events and series and the power of twitter to share ideas and collaborate.

In thinking back on this year, I will remember all the times I was surrounded by inspiring colleagues and in classrooms thinking alongside students about big ideas – this is what fills me up and sustains me.

Some professional highlights for me include:

  • the Creating Spaces for Playful Inquiry dinner series – this large group of K-7 teachers continues to come together to engage in provocations and think about playful inquiry across the curriculum, this year looking at broad themes of community, identity and place
  • visiting the Susan Point exhibit at the Vancouver Art Gallery twice with colleagues and how that inspired connections in our classrooms – place, ecosystems, environmental sustainability, stories and math
  • having the opportunities to share our thinking from #sd38learn in other places –  Coquitlam, Kamloops, Sooke, Niagara Falls, Seattle, Burnaby, Vernon, Vancouver, Victoria and Cranbrook
  • being part of the BC Numeracy Network – this team of enthusiastic educators from across BC have collaborated to create a website that will support K-12 educators as they think about balanced numeracy through the lens of BC’s curriculum
  • being on the program committee for the National Council of Teachers of Mathematics (an international organization) for their annual conference in San Antonio in April
  • hosting teams of educators as they visit our district (from across BC, Manitoba and Sweden) – it is always interesting to hear about what they are noticing and what is resonating for them
  • working in collaboration with the Musqueam Language and Culture department to develop our first project together
  • being a part of the BCAMT Reggio-Inspired Mathematics collaborative professional inquiry project – this project continues to grow and we are working on publishing a book this summer with contributions from ten districts

But when I think about the biggest highlight of the year for me and what I believe has affected both students and educators on many levels, I think about the creation of The Studio at Grauer. My heart is so full when I think how Marie Thom and I transformed an old classroom being used for storage into a studio space to investigate mathematics through a variety of materials.

IMG_1715 (1)

And my summer reading “stack” – yes, there will be novels, travel books and magazines as well!

IMG_5934

I hope to share some of my thoughts on these books on the blog over the summer.

Wishing you a summer full of adventure and time to refresh!

~Janice

primary teachers study group: sixth session

Posted on: May 28th, 2017 by jnovakowski

For our sixth and final session of the year, the primary teachers study group met at Blair Elementary. Thank you to Karen, Robyn and Tanyia for hosting us!

We broke into small groups and worked on our environmental inquiry visual – still a work in progress! Lots of great feedback from the group.

We then toured the outdoor learning spaces at Blair. I was the teacher-librarian at Blair for three years when I introduced Spuds in Tubs to the school – since then the school has embraced school gardens and many of the teachers have made outdoor learning and integral part of their programs. April and Karen shared how they use some of the typical suburban school spaces around the school for outdoor learning and also shared how they involved the district Works Yard employees in creating an outdoor classroom space and storage.

IMG_4639 IMG_4640 IMG_4641 IMG_4642 IMG_4643 IMG_4644

There was much talk about school gardening as a way to get students outdoors and feeling connected. We left thinking about ways to continue our work around environmental inquiry and creating opportunities for students to take action and take care of the outdoor spaces at their schools.

Next year, our primary teachers study group will be entering its fifteenth year as a professional learning structure in our school district!

~Janice

primary teachers study group: fifth session

Posted on: May 27th, 2017 by jnovakowski

For our after spring break session, we met at Steves Elementary, hosted by Kathleen Paiger. After sharing some of the outdoor learning experiences we were engaging in, we began to co-construct a visual of sorts to show the process of environmental inquiry that we have been working towards together this school year. For many teachers in the group – the first stages have been the focus: getting outside, noticing and naming local plants and animals, being curious and connecting. Drawing upon the work of David Suzuki, Ann Pelo and many others, we know these initial stages are essential if children are to care about the environment.

IMG_3464

What we discussed, and connecting to last year’s Natural Curiosity seminar that some of us attended, was that getting outdoors and gardening, although important, is not the overall goal of environmental inquiry. We want to find opportunities for students to take action, to take up a concern or issue that emerges or that they are noticing in their environment.

Kathleen regularly takes her kindergarten students for walks in their neighbourhood which includes the west dyke. We ventured out together and learned about some of the story of this place – the farmland, the coyotes and the birds that frequent the wetland areas.

IMG_3468 IMG_3469 IMG_3471 IMG_3473

And as the weather eventually warms up, we know there will be lots of opportunities for our classes to get outside, to notice and wonder. We are using these three picture books this spring to inspire us.

IMG_3475

~Janice

Big Mathematical Ideas for Grades 3-5: year four

Posted on: May 25th, 2017 by jnovakowski

This after school series is in its fourth year, focused specifically on the foundational mathematical concepts in grades 3-5 such as operations, place value and fractions. This year, we met once a term after school in Jennifer Plummer’s French Immersion grades 3&4 classroom at Homma Elementary (thank you for hosting Jennifer!).

For our first session in the fall, we focused on number sense and operations and the curricular competencies of reasoning and communication. I had recently been to the NCTM Regional Conference in Phoenix and shared a great game that I was reminded of in one of the sessions there.

The Product Gameboard

The Product Gameboard instructions

IMG_8825

At our second session, in January, we focused on financial literacy and mathematical inquiry. I shared the new Pizza Co. game for the iPad from Osmo as well as some other resources and children’s books to support the financial literacy content in the BC Mathematics Curriculum.

IMG_1593 IMG_1592

BC K-5 Mathematics Big Ideas

BC_Financial_Literacy_Resources

For our third session in April, teachers in the series requested a focus on assessment, place-based learning and connecting the core and curricular competencies.

IMG_3864

 

BC K-5 Math Communication

K-5_Math_Connections_between_Core_and_Curricular_Competencies

We explored curricular content and competencies by investigating with power polygons.

IMG_3863 IMG_3865

Looking forward to continuing the conversation around big mathematical ideas next year!

~Janice

Provincial Numeracy Project in Richmond – year two

Posted on: April 24th, 2017 by jnovakowski

For the second year, Richmond is one of several districts in the province that are taking part of an adapted version of Changing Results for Young Readers in the form of Changing Results for Young Mathematicians. Provincially, this project is not just focused on young students but for K-12 students and their teachers and has been called the Provincial Numeracy Project.

This year, three school teams of primary teachers and a Learning Resource Teachers are participating – teams from Whiteside, Grauer and McNeely.

IMG_9745

Several routines such as Counting Collections (see tedd.org) and High Yield Routines (book published by NCTM) were shared with teachers as elements that could be introduced as both whole class and small group instruction.The  importance of assessment to inform instruction was discussed and the importance of spending time being present with our students – listening, noticing and talking with them. This is a critical practice in this project – really zooming in on students’ mathematical thinking.

One of the handouts provided to teachers was a collection of Number Sense tasks and background information connected to the Kathy Richardson book we would be using. The handout package can be downloaded here: Didax Number Sense guide

number concepts kathy richardsonUnfortunately, our second session together was cancelled due to a lack of TTOCs. Between sessions, copies of Kathy Richardson’s book How Children Learn Number Concepts was delivered to each teacher in the project. Teachers were asked to zoom in on one section of the book and make connections to what they were noticing as their students engaged in counting or other number routines.

Each Orange Had 8 Slices Teachers were also provided with a copy of the classic math picture book Each Orange Had 8 Slices and were encouraged to share some of the pages with their students and engage in playful and joyful mathematics – counting, problem posing and problem solving.

The one-pager that was created to accompany the book to send home with students to engage in joyful math with their parents can be downloaded here: Each Orange Had 8 Slices.

For our third and final session in March, school teams shared what they had been trying and what they had been noticing in their classrooms.

IMG_2079 IMG_2081 IMG_2082 IMG_2083

A specific focus on the reasoning and analyzing section of the curricular competencies was explored through estimation. Estimation is a good indicator of students’ number sense and is an important competency to develop and use in many contexts – both computational and with measurement. The estimation information and connections to literature that was developed as part of the BCAMT Reggio-Inspired Mathematics project can be downloaded here: Estimating final

We also looked at the curricular competency: “use reasoning to explore and make connections” through routines such as Number Talk Images and Clothesline.

How many ducks are there? How do you know? What different ways can you see the quantity?

Screen Shot 2017-04-24 at 11.39.57 AM

A blog post of how clothesline math has been used in kindergarten classes in Richmond can be found HERE.

img_8980

Teachers in the project each received a copy of Which One Doesn’t Belong? by Christopher Danielson and connections to our BC curricular competencies in math were made – communication, reasoning, justifying and explaining.

As part of the project, teachers were asked to pay attention to a child who they were wondering about – a child whose math learning was causing questions for the teacher. Based on the findings from Changing Results for Young Readers, we felt that focusing on the learning of one child, and how that child  responds to new ways of approaching math learning, would influence the class’ learning as a whole. Teachers were asked to reflect on this as well as write a short professional narrative reflecting on their own professional inquiry during the project. A collection of excerpts from the teachers’ reflections are included below:

“We are having to unlearn the ways we learned math in order to think about ways we can help the students build a solid number sense foundation.”

“I noticed increased student ownership over their own learning. They are choosing collection at their just right level and are trying to figure out, on their own, ways to count their collection in multiple different ways. Students are beginning to be able to communicate their thinking about the strategies they use to count their collections.”

“I have a better understanding of number concepts and where to go next to help/challenge a student.”

“High Yield Routines had high engagement levels and encouraged a lot of math talk in our classroom.”

“I noticed that I was taking chances in my teaching during this project, allowing myself to learn alongside my students.”

“I learned that math is about exploring and sense-making.”

“Students were engaged with math talk images of actual objects rather than dots or ten frames.”

“My students are more engaged and more hands on with the math now as a result of the changes I made.”

“Students are now expected to voice and articulate and justify their thinking about why they feel their answer could be right.”

“I learned about recognizing the phases of mathematical development and how foundational skills contribute to deeper meaning and understanding for students in subsequent years.”

“I noticed that I need to step back and invest time to delve into student learning and understanding beyond the correct answer.”

*****

~Janice

looking for math outdoors

Posted on: January 4th, 2017 by jnovakowski

During my last visit of the year to the Kindergarten classes at General Currie Elementary, it was a snowy and icy day so we decided to venture outdoors with some iPads to capture images of things that inspired our mathematical thinking. We had a quick talk with the students about how to look for math outdoors – looking up, looking down, looking all around. We talked about what math might look like outdoors – the counting of items, the shape of things, patterns in the environment, as well as sources of inspiration for thinking about math.

One of the first mathematical ideas we played with was shadows – how does your position affect your shadow? what determines the height of your shadow? what do we need to think about if we wanted to put our shadows in height order?

img_9287 img_9288

As with the case of all our school sites…there is a story that lives there. General Currie was one of the first one room school houses on what was originally called Lulu Island. We stopped briefly at the historic building that is still on the new school’s site and talked about the time elapsed – what school might have been like, what the neighbourhood might have looked like, etc.

img_9289 img_9290

We ventured on to the field and took photos as we walking along noticing nests in trees, tracks in the snow, all sorts of ice and frozen leaves.

img_9291 img_9292

img_9295 img_9296 img_9297 img_9298

The ice was a source of fascination and many questions for the students. They were also very interested in some footprints they found and wondered about the size of different footprints or tracks.

We came back into the classroom and the students used the app Skitch with one of the photographs they took. They labelled, circled or used arrows to show where they noticed math or what inspired a mathematical problem or question.

img_9301 img_9302 img_9303 img_9304

Classroom teacher Kelly Shuto then showed some of the students “skitches” to the class to inspire further questions.

img_9305 img_9306

The following week Kelly tweeted out about the class photo book they had created, based on the idea “What math lives here?”

img_9481

img_9480 img_9479

In this crisp wintery weather, what will your students notice outdoors? What math lives in the frozen puddles and tracks through the snow? How far do animals need to travel to find food? What might your students wonder about?

~Janice

Science Jam 2016

Posted on: March 2nd, 2016 by jnovakowski

SJ 2016 logoThe Richmond School District is celebrating its thirteenth year of Science Jam, a featured event of Education Week.

Science Jam is BC’s largest non-competitive science fair, bringing together students in grades 4-7 from across our district to share their science inquiry projects. This year students from 11 schools participated choosing to do projects under three broad themes – environmental sustainability, going local and looking at the redesigned curriculum.

IMG_2732Two French Immersion students from William Bridge Elementary conducted the opening ceremonies with welcoming words from our mayor and superintendent, introduced our board of school trustees and honoured the event’s sponsors.

 

 

 

Science World started off Science Jam with a *bang* with a science surprises show.

IMG_2750

IMG_2747

And then it was time for our district’s young scientists to share their projects with “celebrity scientists”, parents, community members and each other.

IMG_2815

IMG_2805

IMG_2782

A video with highlights of the event can be viewed HERE.

~Janice

cedar weaving

Posted on: June 17th, 2015 by jnovakowski

Back in April, the Richmond School District’s Aboriginal Education department hosted Alice Guss of the Squamish Nation for a morning of cedar weaving. Alice is an artist, storyteller and drummer and has been involved in the field of education for over twenty years. She does workshops around the world in drum making and weaving.

More information about Alice can be found HERE.

We invited Alice back to Richmond as part of our National Aboriginal Day celebrations and this week she worked with two of our QTL (Playful Storytelling through First Peoples  Principles) classes at Steves and then joined teachers from the project after school.

Kathleen Paiger’s kindergarten class and Ellen Reid’s grades 1 and 2 class at Steves Elementary listened to Alice singing and drumming and learned about how cedar is harvested for the purposes of weaving and making practical items and regalia. Alice shared some of items that are made from different parts of the cedar tree.

IMG_9489

IMG_9487

The students learned how to weave a cedar bookmark and they were quite interested in the texture and smell of the wood.

IMG_9470 IMG_9471 IMG_9472 IMG_9473 IMG_9474

IMG_9476

 

IMG_9485

The students then enjoyed listening to Alice’s stories and she said them in some dancing to her drumming, with the students taking on different animal roles.

IMG_9488

After school, a group of teachers involved in our QTL project along with some other interested educators, came together. Alice shared her family’s history and we learned about the story of The Chief in Squamish and  of the two-headed serpent, a story important to the Squamish people. The teachers then learned more about the importance of cedar and how cedar trees that have been culturally modified (stripped for cultural purposes) can not be cut down by logging companies. An article about culturally modified trees can be found HERE.

IMG_9498

 

IMG_9505

IMG_9503

IMG_9506

The teachers learned how to weave a small cedar basket. There was lots to be learned during the process about persistence and learning new things and also about the natural properties of the cedar. The completed projects were cherished by the teachers and were all one of a kind.

IMG_9507

It was an honour to have Alice join us in Richmond again and we hope to have her back again next year!

~Janice