Archive for the ‘numeracy’ Category

the new playground at Grauer: where’s the math?

Posted on: September 18th, 2018 by jnovakowski 1 Comment

IMG_1946 Last year the families, staff and community fundraised for a new playground for Grauer Elementary. Grauer is a small school with only five, six or seven divisions (depending on the year) and it is hard work for a small school to raise $60 000! It was very exciting when the school reached their goal and is such a good example of an authentic numeracy experience for students to think about. In the BC curriculum, numeracy is defined as an application of mathematics to solve or interpret an issue or problem in context.

 

 

Last Saturday, I joined staff, parents and community members coming together to install the playground (self-installation with staff support from the playground company saves thousands of dollars). As Ms Partidge and I helped to read the specifications for the installation of one of the fire poles, we commented to a couple of parents around us how much mathematics was involved in the process.

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I shared some of the photos from the installation day with the two grades 1 & 2 classes. All of these students had been to The Studio last year with me and had spent some times exploring the idea of “what is math?” so I framed this investigation as “where is the math?” I knew for some students this would create some dissonance as even young children can sometimes already have a very narrow view of what mathematics is and think that it is about counting, numbers and “plussing”. Part of this investigation was to disrupt this thinking. Of course counting, numbers and arithmetic operations are important content areas of mathematics, but they are not the only content. This investigation was one avenue to create meaning for learning mathematics, having students make connections to math beyond the walls of the classroom. The students came up with some initial ideas and we will continue to add to our thinking over the next couple of weeks.

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The students were invited to design and create playgrounds and to consider where, when and how mathematics would be applied/used. One group of students followed the kit diagrams to create a Playmobil playground set – there was lots of math talk during that collaboration! Some students chose to draw and paint a playground from their imagination and some built playgrounds with blocks and loose parts, including a playground for animals.

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After our first time together, I noticed the students were very interested in the photographs of adults using the levels and measuring tapes so I ordered some (not toy) tools to add to the construction area of The Studio. It was great to watch the students use these tools in authentic ways.

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One of the classes had gone outside to look closely at the playground twice, creating detailed labelled diagrams or maps of the playground.

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We extended this experience in The Studio by asking the students to create “math maps” indicating “where’s the math?” on recordings of their playground creations.

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And what are are we assessing in terms of mathematics? These types of investigations and explorations lend themselves to informal formative assessment and gives us a sense of mathematical language the students have and where students are along a learning trajectory around different concepts and skills such as spatial reasoning, comparison of size and quantities and measuring. This type of assessment, that focuses on observing and listening to the students’ play and math talk is so important at this time of year and informs our instructional plans and focus for the fall.

When students engage in this type of learning through materials we make their learning visible through a sharing session at the end of our time together and capturing photographs, videos and students’ thinking so that we can revisit and reflect on the experiences, make connections to new learning experiences and consider questions for further investigation. The following are examples of documentation panels that we create to post in The Studio to help make our learning visible.

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I’m looking forward to seeing where the students take us next on this investigation.

~Janice

summer professional learning and reading 2018

Posted on: June 29th, 2018 by jnovakowski No Comments

Although summer is a “break” from the schedules and routines of teaching, it has always also been a time of learning for me. Whether it be taking course work or having the time to read deeply or attend professional learning events, I find the summer a great time to learn new things and both reflect on and rejuvenate my teaching practice. Of course, in order to really refresh, I do take some time away from professional thinking by reading novels, memoirs, travel guides and cookbooks! I try and learn new things and am currently enjoying learning about different types of weaving, dyeing using natural materials, using new art techniques and focusing on developing my knowledge around local plants All of these personal interests do tend to find their way into my professional work though as well!

One learning goal I have for myself is to become more familiar and fluent with using desmos. Desmos is an online graphing application (and available as an app as well) but has so many possibilities for supporting mathematical thinking for elementary and secondary students. The desmos website is full of examples and ideas for student projects as well as resources for teachers. I feel I just have a beginning understanding of what desmos has to offer so am looking forward to digging in and playing with it over the summer.

Professional Reading

My first summer professional reading stack of the summer!

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Engaging Children: Igniting a Drive for Deeper Learning K-8 by Ellin Oliver Keene

Lifelong Kindergarten: Cultivating Creativity through Projects, Passion, Peers, and Play by Mitchel Resnick and Ken Robinson

Play Matters by Miguel Sicart

Arithmetic by Paul Lockhart

Give Me Five!: Five Coach-Teacher-Principal Collaborations that Promote Mathematical Success by Janice Bradley

Essential Assessment:  Six Tenets for Bringing Hope, Efficacy, and Achievement to the Classroom (Deepen Teachers’ Understanding of Assessment to Meet Standards and Generate a Culture of Learning) by Cassandra Erkens and Tom Schimmer

Softening the Edges: Assessment Practices that Honor K-12 Teachers and Learners by Katie White

I have also ordered these two need mathematics book through the NCTM and the ATM.

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An area of focus in our district will continue to be assessment. Continuous assessment that leads to responsive, intentional instructional choices is a practice that is woven throughout series I do around mathematics professional learning. Two books that I am going to revisit this summer as I begin to plan professional learning experiences for next year include:

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Rethinking Letter Grades is a book by Canadian authors with local examples and I appreciate the “triangle” from this book that shares that in order to have authentic evidence of learning you need three types of assessment data – observations, conversations/interviews and products (which includes projects, creations, writing, drawing, diagrams, quizzes, tests).  The Formative Five is a mathematics specific book focusing on five formative assessment practices.

 

 

New assessment reads for this summer include the following:

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Katie White, author of Softening the Edges, will be a featured speaker at our Curriculum Implementation Day in Richmond next year. Essential Assessment was a book recommended by Angie Calleberg of the BC Ministry of Education as she said the Ministry used this book to inform assessment projects in the province. And although I do have some concerns about Hattie’s use of statistics and his meta analysis of meta analysis studies, I know his new book will come up in professional conversations around assessment so want to have a quick read through it.

 

Professional Learning Opportunities

For Richmond educators, professional learning opportunities are listed within the portal. Go to Learn 38 then to the Professional Learning tile to find both internal and external events.

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For this year’s BCTF PSA Day in October, consider attending the Northwest Mathematics Conference in Whistler. Information about speakers, accommodation and registration is now available here:

Northwest Mathematics Conference website 

Also in October, the Vancouver Reggio Association is hosting Tiziana Filippini, a pedagogista from Reggio Emilia, Italy. More information available here:

Vancouver Reggio Association – Tiziana Filippini – October 2018 

A free professional learning event about coding for teachers is being hosted in Vancouver this summer, sponsored by the Government of Canada:

Teachers Learning Code – Vancouver – July 24-26 2018

Lots of districts in BC offer professional learning events at the end of the summer so check Twitter, Facebook, the BCTF site and district websites for more information.

For those of you interested in building your own knowledge of Indigenous perspective, culture and content, Talasay Tours offers some grant opportunities:

Talasay Tours – Authentic Cultural and Eco Experiences

And the Museum of Anthropology at UBC currently has an exhibit highlighting six cultures from across BC;

MOA – Culture at the Centre

 

Have a lovely summer – a time for adventures, rejuvenating and learning new things!

~Janice

May thinking together: How can we weave Indigenous content and perspectives into the teaching and learning of mathematics?

Posted on: June 12th, 2018 by jnovakowski 1 Comment

Screen Shot 2018-06-12 at 11.25.11 PMThe First Peoples Principles of Learning is a foundational document in the redesign of BC’s curriculum frameworks. The Principles were developed by FNESC (First Nations Education Steering Committee) and the poster in English can be found HERE and in French can be found HERE. As Jo Chrona would say, the FPPL are much more than the poster – they are principles that are inclusive of all children in BC while honouring Indigenous ways of being and knowing. FNESC has developed teaching resources such as the In Our Own Words resources for K-3 and the Math First Peoples resource for Grades 8&9 (currently being updated) but much of the information and ideas in the resource can be adapted for all grade levels.

 

On May 17, Leanne McColl, Lynn Wainwright and myself attended the 8th annual K-12 Aboriginal Math Symposium. Educators from across BC attend this symposium. Information about the symposium can be found HERE and there is a tab on the website that links to archived resources.

I have attended this symposium for years and was fortunate to share a project from The Studio at Grauer at this year’s event. Some of the slides from my presentation can be found HERE , under May 2018.

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A focus of my presentation was on three of BC’s mathematics curricular competencies. These competencies are part of the learning standards for the K-9 mathematics curriculum and are aligned with the First Peoples  Principles of Learning and the Core Competencies.

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The BC Numeracy Network has archived different types of resources to support the redesigned curriculum. Under the Connections tab, there is a page dedicated to resources that support the weaving of the First Peoples Principles of Learning into mathematics teaching and learning.

Link to BCNN page here

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In the Richmond school district, two of the four goals of our Aboriginal Education Enhancement Agreement (AEEA) are focused on all learners (not just those with Indigenous ancestry) developing an understanding about the First Peoples Principles of Learning, our local First Nations community and Indigenous worldviews and perspectives as part of engaging in the process of reconciliation through education.

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Teachers often ask me about where to start in this area and are concerned about not doing things properly or that they do not have enough knowledge themselves. I suggest that teachers contact someone in their district about local protocols and then try something in collaboration, maybe inspired by one of the above suggested resources. Look for authentic connections within your community and across disciplines in the curriculum..  Some of the things that I have done to continue to learn more in this area are: read articles and books recommended to me, seek out opportunities to learn from elders and Indigenous community members and colleagues, get involved with district or university-based collaborative projects,  connect with your district’s Aboriginal Education team, attend workshops and tours offered through museums, cultural centres and local Indigenous organizations. There are lots of opportunities to learn and see connections to mathematics…we need to go forward together with an open mind and an open heart.

To consider…

How can the First Peoples Principles of Learning be embedded in our mathematics teaching and learning? How do BC’s mathematics curricular competencies reflect these principles?

One of the principles is that “learning takes patience and time” – how does this principle bump up against some ideas around the teaching and learning of mathematics?

How might we work towards the goals of our Aboriginal Education Enhancement Agreement within our mathematics classrooms? What role could mathematics play in the process of reconciliation?

What does it mean to use authentic resources, stories and elements of culture in our mathematics teaching? How is this affected by the land and the story of the place where we live and teach? Who can help us think about these ideas? Where can I learn more and find resources?

What opportunities do your students of Indigenous ancestry have to see their community, family and culture represented in the mathematics they are learning at school? Within our diverse community, how do all students see themselves reflected in their mathematics experience? What is the relationship between our students’ mathematical identities and their personal and cultural identities?

What interdisciplinary projects might connect mathematics with Indigenous knowledge and worldviews?

~Janice

graduation numeracy assessment – January 2018

Posted on: May 11th, 2018 by jnovakowski

On January 26, I spent part of my morning at Richmond Secondary working with the whole staff to examine the Graduation Numeracy Assessment – how numeracy is defined, the numeracy processes, example questions and ways to embed numeracy tasks in all courses. Educators worked in cross-disciplinary groups to choose one of the sample questions to work through together, being mindful of how their students might engage with these questions.

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The overview slides from the morning can be found here: GNAoverview_Richmond_January_2018

Detailed information about the BC Graduation Numeracy Assessment can be found through the BC curriculum website. There is a design specifications package, pre-assessment tasks that students/classes can do before the assessment to learn about the numeracy processes, a collaborative learning guide, videos, sample questions, scoring guide and student exemplars as well as information on the background and development of the assessment and information for parents.

link to Graduation Numeracy Assessment information 

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In Richmond, two of our secondary schools (SLSS and Burnett) participated in the gradual roll-out of the writing of the Graduation Numeracy Assessment. Two or three classes from each school participated in the assessment and will receive their results in April. Both schools collected student feedback and the Vice-Principals shared this feedback along with their logistical recommendations at a secondary vice-principals meeting in April.

~Janice

October thinking together: What is balanced numeracy?

Posted on: October 31st, 2017 by jnovakowski

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.

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The group of educators involved in this network began our professional collaborative inquiry together considering the question, What is balanced numeracy? Although we drew on the practices of balanced literacy, we looked to the current research in mathematics education to inform our thinking. In thinking about a balanced numeracy approach, we looked beyond mathematical content and foundations (which needs to remain in the foreground) to also consider the role of the learning environment, instructional and assessment approaches, the habits, dispositions and competencies of the discipline of mathematics, the importance of connection-making and the role of engagement in learning. We considered balance in terms of the day, week, month, term and year as well as what learning opportunities are provided to our students for individual practice and problem-solving, small group work and whole class routines, discourse and mathematical community building.

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

As you think about balanced numeracy, consider…

What do you consider when planning a balanced literacy program in your classroom? What aspects of this might apply to thinking about balanced numeracy?

How are numeracy experiences different from mathematics experiences and how are they connected?

What opportunities can I provide for my students to engage in small group work in mathematics/numeracy? (The North American classroom landscape suggests that most “math time” is either whole class or individual work).

How am I balancing the two components of the BC learning standards in mathematics – curricular competencies and curricular content?

How might providing balanced numeracy experiences for my students extend or enhance their thinking about mathematics?

~Janice

 

There are many resources now available to support aspects of balanced numeracy in the classroom. Consider the following professional resources:

Math Workshop by Jennifer Lempp

Guided Math in Action by Dr. Nicki Newton

Guided Math by Laney Sammons

Dr. Peter Liljedahl of SFU has many numeracy tasks available on his website

This part of our website defines numeracy in the BC context and looks at the parallels between balanced literacy and balanced numeracy.

 

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