Archive for the ‘communication’ Category

Vision, Mission and Values Project at Thompson Elementary

Posted on: March 20th, 2017 by jnovakowski No Comments

The Richmond School District is embarking on a legacy project, developing new Vision, Mission and Values statements for our district. Teachers were invited to engage in discussions with their students and collect artifacts to contribute to the district process of creating new VMV statements. Two intermediate classes and their teachers from Thompson agreed to do some special filming for a district video for this legacy project.

At the beginning of January, I was able to meet with classroom teachers Lyanne McCaskill (grades 5&6) and Kevin Dimmick (grades 6&7) to plan how this project might unfold. The teachers put a lot of thought into the experiences they wanted to provide for their students. I was fortunate to be able to attend three different learning experiences with the students and to capture the students’ thinking and ideas with photographs and videos.

On the first day, as is the usual routine, the students in both classes entered their rooms to the morning provocation: What do you imagine school could be? They were invited to respond to the question using loose parts. Some students focused on the physical environment while others focused on metaphors and ideas. Each class paused to go to each table group and have those students share what they had done. Students could go back to their spots to revisit their work, connecting to new ideas or inspiration. Students were then asked to reflect on their thinking using a familiar response form.

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In the grades 5&6 class…

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In the grades 6&7 class…

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On the second day, the teachers used the Vision, Mission and Values from the Vancouver Aquarium website to initiate discussion about what Vision, Mission and Values are. In one class, the students were asked to use a familiar response format (Notice, Connect, Wonder) as they discussed and thought about the Aquarium’s VMV statements while in the other class, they used the Vision, Mission, and Values framework and questions as a way to respond.

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In one of the classes, the students sorted different statements they had made in their own reflective writing about VMV – there were very interesting discussions that emerged as students distinguished between what was part of a vision, mission or values statement.

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The students worked in small groups to create charts of words and phrases that connected to Vision, Mission or Values and these were displayed in the classroom for students to read and discuss.

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On our third day together, the teachers began their days as they had the first day – with a morning provocation posted for the students to engage with and loose parts available. The original question of What do you imagine school could be? was now linked to Vision, Mission and Values. The students could choose one or all of the three areas to represent and record their ideas about.

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It was fascinating to watch how the students’ ideas evolved over time and how each class had its own particular culture it terms of what came out in the students’ representations – kindness, inclusion, community, diversity and collaboration were the five big ideas that stood out to me as I listened to and read the students’ contributions to the project.

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An short video compilation of the Thompson VMV experience can be viewed HERE.

What has stuck with me, while spending time in these classrooms is the wisdom of our students. Their lived experiences in different types of learning environments, their understanding of each other, the importance of collaboration and the purpose of schools within a society made my heart sing. Our future is in good hands.

~Janice

Vision, Mission and Values Project at Blair Elementary

Posted on: March 20th, 2017 by jnovakowski No Comments

The two kindergarten classes at Blair Elementary took part in our district’s Vision, Mission and Values project in February. As our district develops new Vision, Mission and Values statements, student comments and contributions are being collected to inform the process.

I worked with teachers Lauren MacLean and April Pikkarainen to develop questions to be a part of their regular routine of morning provocations for when the students arrive at school. 

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As the students chose what materials and question to engage with, we had the opportunity to capture some of their thoughts about what schools could be.

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The students had clear ideas about what schools should have and how they should be designed. They talked about natural spaces and spaces to work together. There was a lot of conversation about how schools are for all children and that happiness is a feeling we should have at school.

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The classroom teachers then facilitated a sharing circle during which students shared their ideas about school. We unpacked the questions around Vision, Mission and Values with the students. The students “turned and talked” to a partner about one of these questions.

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Building on and connecting to the ideas they heard from their classmates, the students were given time to go back and revisit their creations and ideas.

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I was able to “interview” some of the students and capture their thinking about what schools could be. This tweet kind of sums up the wisdom from these amazing kindergarten students:

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I am looking forward to a district gathering in April when artifacts from classrooms across the district will be available for us to think about and am glad that the voices of these kindergarten students will contribute to the important discussions our district is having.

~Janice

investigating numbers with the Kindergarten class at Garden City

Posted on: March 20th, 2017 by jnovakowski No Comments

I visited the kindergarten class at Garden City twice over January and February, introducing different routines to develop number sense and to investigate numbers. Teacher Lori Williams had initially asked me to come to her class to introduce counting collections to her students and after that lesson, I suggested some other routines or practices she might try with her students.

To introduce counting collections to the class, the students and I sat in a circle together. The class’ “special helper” and I counted a collection in different ways, taking suggestions from the suggestions. I intentionally modelled working together as a “team” – taking turns, taking on different roles (one of us moving the items, the other counting, etc) and having each of us support each other when we were unsure or “stuck”. We counted a collection by 1s in different ways – each of us placing an item in a container taking turns while counting, putting the items in a line and counting them together, moving the items from one pile to another taking turns counting as we moved the items one by one. I asked the students if they could think of any other ways they might count their collections and they had some new ideas as well as some suggesting that they count by 2s or 10s. Pairs of students then went off to choose a collection to count, with the expectation that they count it in at least two or three different ways.

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The students and I came together after about 30 minutes of counting and I invited some pairs of students to share what they counted and how they counted their collections. I encouraged the students to listen and make connections in their mind as to how they had counted their collections.

For my next visit, I introduced the clothesline and explained that it was another way to investigate counting, particularly ordering numbers.

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The students took turns placing different representations of numbers on the clothesline – they were asked to explain their placement decisions. We followed this routine with an invitation to investigate ordering and sequencing numbers using a variety of materials.

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The students were creative in their use of materials and the inspiration of the materials often nudged them beyond their familiar counting range and what the curricular expectation are for kindergarten in BC (number concepts, including counting from 0-10).

For the classroom teacher, this was a time to notice her students engaging in new routines with different materials and to think about how she might incorporate them into her classroom. It is always a conundrum for kindergarten teachers – there are always more materials to add to the classroom but we also have to let things go and put things away, even if temporarily, to create open access to the materials students will use regularly and purposefully.

~Janice

investigating patterns with the grade 3s at Garden City

Posted on: March 18th, 2017 by jnovakowski No Comments

I visited the grade three class at Garden City Elementary twice in February, focusing on ways to teach mathematics through the big ideas in BC’s new curriculum.

Teacher Stella Santiago asked that we do some work around patterning together and we began with a class discussion around the question: What makes a pattern a pattern? The students shared their developing ideas about patterns, which included many examples of patterns, and then the students were provided with a choice of materials with which to investigate different types of pattens with. We asked them to push their thinking about what patterns were and to investigate different types of patterns and what makes them patterns.

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The students mostly began with repeating patterns but used different formats for their patterns such as going around the circumference of a table instead of just in a straight line. Blank grids were provided for students to investigate and some students engaged with those.

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Students also explored using different shape frameworks to create patterns with.

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And they played with seeing patterns in three-dimensions, from different perspectives.

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About half an hour in to the work with materials, we asked the students to pause and walk around and notice what other students were doing – to be inspired, to capture an idea, to make connections.

As the students created their patterns, I recorded the questions I was asking them during their investigations, meant to provoke their thinking about what makes a pattern a pattern.

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It was these questions that I came back to in the end as students shared their findings about patterns. We were able to come to consensus as a group that a pattern is predictable and generalizable, that there is regularity in it. Big words for a big mathematical idea.

On my next visit to the class we connected the idea of patterns to the students’ current study of multiplication. We began with a number talk, using a grid to support students in visualizing the patterns in multiplication. We played with the idea of decomposing numbers to support us in calculating multiplication questions. After our number talk, the students were provided a choice of materials and tools with which to investigate the focus question: Where do patterns live in multiplication?

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One of the tools provided to students was a 100 chart and students used gems to cover multiples of different numbers on the chart to investigate what visual patterns might emerge.

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Some students started with their understanding of multiplication – equal groupings of objects and then used the materials to create different visual patterns with these groupings.

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Some students connected the idea of growing patterns with multiplication and used different materials to represent this connection.

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The students were very curious about the geoboards, as they are not a regular item in their classroom. One student wasn’t sure where to start with the geoboard and I showed him how to stretch a band to make a square. He made another square and then I added a third. By then, he was making his own connections and began an investigation of square numbers.

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Another student used the geoboard to create arrays. She played with the idea of halving and doubling the arrays, including using diagonals to create triangles.

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A group of three students chose to use the magnetic grids to play with patterns and multiplication, using alternating colour patterns.

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The students again had an opportunity to walk around the class and see what other students were doing to investigate patterns and multiplication and then go back to their own materials, adding new ideas if inspired to do so.

We met together as a class in a “math congress” to report out our findings and make connections between what we had found out about patterns and multiplication. Students used the terms growing and increasing but identified the regular-ness of the patterns involved in multiplication. Some students focused more on the spatial relationship of arrays and how those change as factors increase or decrease.

As the students continue to study multiplication and division, I am looking forward to hearing what relationships and patterns they find.

~Janice

investigating mathematical big ideas at Hamilton

Posted on: March 9th, 2017 by jnovakowski No Comments

In January, I spent some time in the two grades 4 & 5 classrooms at Hamilton Elementary. Coverage was provided to teachers so that they could observe and take part in math lessons in another teacher’s classroom. Teacher were then able to teach this lesson to their own classes, having seen and heard how another class responded and thus, anticipating and planning for their own students. This form of “adapted lesson study” is a common structure we use in professional learning in our district, with time to plan together, observe and discuss and then enact and debrief. The teachers at Hamilton had requested a focus on teaching through the big ideas in the curriculum.

For both classes we focused our planning around these big ideas:

Development of computational fluency and multiplicative thinking requires analysis of patterns and relations in multiplication and division.

Computational fluency and flexibility with numbers extend to operations with larger (multi-digit) numbers.

To focus the students’ thinking, connection-making and our discussions, the question we posed for the students to investigate was: What is the relationship between multiplication and division?

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For each class we began with a game, to activate students’ thinking, get them talking about mathematics and to practice computing multiplication facts. In one class we played Product Gameboard and in the other, the card game Salute.

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IMG_9770After discussing the strategies the students used in each game, a problem was introduced to each class. Both of the problems were taken from the book: Good Uestions for Math Teaching. Using different strategies, I facilities meaning-making of the problems with the students and then the students began to engage in problem-solving. They had an opportunity to “turn and talk” and share their strategies and were encouraged to approach the problem in different ways.

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The students all began with the same problem but could adjust the number of students in the school (in the problem context) they were working with. They used whiteboard to show their different approaches to solving the problem.

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As students shared their solutions and strategies, we asked the students to listen to each other and build on or connecting to each others’ thinking as part of the discourse.

In the second class, a related problem was presented.

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What was interesting to notice as students engaged with this problem is that none of the students paid attention to the “four grades”- it was not required information to work through the problem but would have added an extra layer of complexity and context. We did pause near the end of our time together and this was pointed out, and if I had been with the class the next day, I might have had them re-visit this problem, being mindful of the “four grades” context.

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What students did pay attention to in terms of sense-making for this problem was the types of sports students might be playing and the number of students that would make sense for each team. The students found a context (tennis) that made sense of having one person per team and two per team (doubles). The students shared their different solutions on the large whiteboard which we used as a starting point to compare and contrast their different solutions and strategies and have the students make connections to how both multiplication and division are related and could be used to engage with both of the problems posed to the classes.

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Teaching through the big ideas was also a topic of conversation during an afternoon of Hamilton’s professional development day in January. We will be continuing our conversation at Hamilton’s pro-d day in May and continue to think about ways to nurture ways for students to make connections between mathematical concepts and strategies.

~Janice

elementary math focus afternoon 2017

Posted on: January 17th, 2017 by jnovakowski No Comments

We hosted this year’s Elementary Math Focus Afternoon on January 16 at Byng Elementary. Over 250 educators attended, from 14 schools.

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There were a range of sessions to choose from and a huge thank you goes out to all the teacher facilitators who shared with their colleagues. A special thank you to our colleagues from Surrey and Delta who shared with us.

Elementary Math Focus Afternoon Jan 16 2017 program FINAL updated Jan 13

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Rebeca Rubio shared some of the many math resources and kits from the District Resource Centre.

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Tracy, from the Canadian Federation for Economic Education, shared resources to support the financial literacy component of the math curriculum, particularly around the Talk With Our Kids About Money initiative.

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The schools attending each contributed a display of materials, documentation or resources sharing an area of professional inquiry amongst their staffs.

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QR code Math Tags were available with links to IGNITE videos, websites and blogs.

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Math Tags 2017

 

General Handouts:

BC K-5 Mathematics Big Ideas (one pager per grade)

BC 6&7 Mathematics Big Ideas

K-5 Math Connections between Core and Curricular Competencies

6-9 Math Connections between Core and Curricular Competencies

The Sum What Dice Game Jan2013

Product GameBoard

BCFinancialLiteracyResourcesShared

 

Session Handouts:

Fred Harwood Grid Algebra 1

Fred Harwood Grid Algebra 2

Barker & Schwartz Picture Books Math & Literacy

Bebluk & Blaschuk Formative Assessment

High-Yield Routines September 2015

Linear Measurement final  from Marie Thom’s K-2 Measurement session

Primary Math Routines (Carrusca, Wozney, Ververgaert)

DST Formative Assessment for All

Jacob Martens Numeracy Competencies Presentation

Sentence Frames for Math ELL

ELL Tier 2 words poster

Carrie Bourne Mental Math Poster – Faire 10

Carrie Bourne mental math poster – valeur de position

(contact Carrie for more Mental Math Strategy posters en francais)

MIchelle Hikida Grades 1-4 Mathematical Inquiry

Michelle Hikida Symmetry

Sandra Ball’s Power of Ten Frames presentation and handout

 

A big thank you to the Byng staff for hosting and to all the facilitators for sharing their experiences and inspiring their colleagues in their sessions.

~Janice

introducing clothesline to the kindergarten students at General Currie

Posted on: November 29th, 2016 by jnovakowski 1 Comment

Last Tuesday, I made another visit to the kindergarten classrooms at General Currie Elementary. During each visit I introduce a new mathematical “routine” to the students and teachers and then extend the routine with some related learning experiences.

I introduced the “clothesline” introduced to me via Twitter by Andrew Stadel last year. There is a website dedicated to sharing information about clothesline math HERE. Most of the work I have seen done with the clothesline is at the middle school level and I can see great uses for it in exploring equivalent fractions, decimal fractions and percentages with our intermediate students. In looking at the kindergarten mathematics curriculum  for BC, sequencing and representing numbers from 0-10 is an important learning standard and connects to the use of the clothesline, a form of interactive numberline.

We began with just the numeral cards and the students came up on a a time (in random order) to place their cards on the clothesline. They were asked to state their reasoning for why they put their cards where they did.

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After the 0-10 cards were in place, we took them off and then I shuffled them with the ten frame and tally cards and handed one card out to each student. Again, the students came up one or two or three at a time and placed their cards, explaining their reasoning. When there was an equivalent representation already in place, they just placed the card on top of the other.

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The tent cards I created can be downloaded here:

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When I asked the first class of kindergarten students one way of showing “seven”, one little guy held up seven fingers. I hope to take some photos of the students finger combinations next week when I visit to include these on a set of cards.

I can also see great potential for the clothesline to look at multiple representations of numbers in grades 2-5 to help students think about place value.

After each class worked with the clothesline, the students could choose from several related learning experiences, all that focused on sequencing numbers or representing quantities to 10.

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The students were highly engaged with the materials and were able to share their thinking about why it was important to know how to order numbers –  ”to count, to be organized”. In one of the kindergarten classes we looked around the classroom for ways that numbers in order or sequence were used. The students found the 100-chart, the calendar and the clock.

Next week, we are going to do some number talks with dot cards and ten frame  cards and investigate the idea of parts-whole relationships in numbers by decomposing and composing quantities.

~Janice

uncovering thinking about addition and subtraction in grades 1&2 at McNeely

Posted on: November 3rd, 2016 by jnovakowski

I am doing a series of visits to the early primary classrooms at McNeely Elementary to work with the teachers around inclusive practices that support students’ mathematical thinking and understanding. Meeting the first class of grades 1 & 2, I began with a number talk to see what strategies the students were able to use and to see how the students engaged in mathematical discourse. We named strategies and introduced terms like justify and reason into the students’s math talk.

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To follow this, I had designed several provocations for students to engage with around the concepts of addition and subtraction. I connected some of the provocations to the K-2 big ideas about computational fluency – relationships between addition and subtraction and building on an understanding of five and ten. After the number talk, I adjusted some of the provocations I had planned, being responsive to what the students had demonstrated during the number talk.

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I provided a brief overview of each provocation set out on a table, reading the question and showing the materials. I explained to the students that they would choose what ideas they wanted to investigate or questions they wanted to engage with and they could stay with one provocation the whole time or move to different tables. This was the first time the students has worked in this way during their mathematics time but for the most part, the students made good choices and stayed engaged with the ideas we were thinking about.

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The SumBlox blocks were presented on a table for students to explore. This was the first time these students had seen these blocks so I wanted to give them to time to explore and investigate the blocks without a specific question to guide their play.

While students were engaged with the materials and ideas, the classroom teacher, the learning resource teacher and I were able to spend time alongside students, listening and noticing. There were opportunities to prompt and provoke and to invite students to explain what they were thinking about or practicing.

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We brought the students to a meeting at the end of our time together, after they had put away all the materials we had been using. The students are beginning to learn how to talk about their mathematical thinking and shared what they did, what they liked and some students were able to share what they learned. With time, the intention is that students will share their findings and questions and make connections with each other during this closing discourse or “congress” time.

At lunchtime, the teachers and I were able to meet and discuss what they had noticed, what questions they had and what assessment information was able to be collected during the practices of a number talk and provocations. A starting point for professional discussion was sharing some of the video I had captured of students explaining their thinking. Based on what we noticed, the classroom teacher and learning resource teacher set some goals as to what they were going to work on with the students before my next visit – developing strategies focused on making ten and developing the language of “decomposing by place value” when explaining their mental math strategies.

These big concepts of addition and subtraction will be explored and investigated in many different ways all year – they are foundational concepts at these grade levels.

~Janice

inclusive practices in mathematics for grades 6-9

Posted on: October 30th, 2016 by jnovakowski

Building on interest from an ILC (Inclusive Learning Community) project Shelley Moore and I facilitated with grade 8 teachers at Boyd Secondary, we held an after school session in October looking at inclusive practices in mathematics for grades 6-9 teachers. These practices are particularly mindful of the personal, social, intellectual and physical needs of students in the middle school age range.

Shelley began the session by sharing Richmond’s history with inclusive education and sharing some frameworks she has developed for thinking about inclusion (bowling pins, Fisher-Price stacker toy, planning pyramid, etc). She refers to inclusions lenses – personal, social and intellectual as well as places – different classrooms and places in the school as well as out of the school.

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In using the planning pyramid, Shelley considers goals, tasks and questions for all students, some students and a few students, starting where ALL students can access the unit or lesson. And here’s Shelley doing the tree pose – using the analogy that everyone/all could start this yoga pose by using the wall for support!

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Shelley shared the two year project with the grade 8 teachers and students at Boyd, with the first year addressing the Shape and Space curriculum and the second year examining the linear equations part of the curriculum. One example of a planning framework for an initial lesson on geometry looks like this:

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We shared photographs and video from the Boyd ILC project to share how the project unfolded with the students. Blog posts about the project and be found HERE and HERE.

I shared some of the practices and structures that we considered during the ILC project at Boyd and that can be used as a guide for planning mathematics lessons and units with inclusion in mind.

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Some of the choices that students were provided were what types of materials they might use. For example, during our lesson together about the volume of prisms, some students built prisms with cubes, some students used centimetre graph paper to create nets for their prisms and other drew 3D drawings that represented the measurements they were working with. Another choice was the range within the concept being addressed – for example, in the geometry lessons, identification of basic 2D shapes (faces) was an access point for all while some students investigated a range of 3D prisms. In the study of linear equations, choices of equations to investigate and represent with balances and other materials were provided, increasing in complexity or number of operations. Students were also provided with choices in how they processed or representing their thinking, for example, iPad technology was available and students could use the camera to take video or photos and then use a choice of screencasting apps to provide evidence of their understanding of the concept. Non-permanent vertical surfaces (NPVS) aka whiteboards or windows provide another choice for students who may not want to sit and work at a desk or table or use paper and pencil. The research-based practice of using NPVS has been shown to increase engagement and mathematical discourse, particularly at the middle-school age range.

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I shared the idea of mathematical routines such as number talks as inclusive practices with starting points for all and a way to build an inclusive mathematical community in the classroom. These routines also focus on the nurturing and development of the curricular competencies which are the same for grades 6-9. One of the routines shared was WODB (Which One Doesn’t Belong?). This routine has become very popular in Richmond classrooms as it provides an opportunity for the clear connection between curricular competencies and content. Four items are presented and they all belong to a set/group of some sort – integers, polygons, etc but each item is unique is some way. The goal of the routine is for the students to analyze and use reasoning to justify or defend which one they think doesn’t belong in the set and why. WODBs for geometry, number, graphs, etc are available at WODB.CA  - a site curated by an Ontario secondary math teacher.

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Shelley has posted a pdf version of our slides from the session on her blog. They can be found HERE.

Because of interest, we will be facilitating a repeat of this session on December 6 from 3:30-5:00pm at IDC – register on our district’s event page with further follow-up sessions planned in the new year.

~Janice

introducing WODB in Kindergarten

Posted on: October 30th, 2016 by jnovakowski

I was back visiting the kindergarten classes at General Currie last week. After being introduced to Counting Collections, the students and teachers were interested in being introduced to a new math routine. Because I had noticed they had been exploring gourds the week before when I visited, I used gourds to introduce the idea and thinking behind a WODB (which one doesn’t belong?). As is the case with most young students, the students stayed quite focused on one of the objects being “the” right one and we needed some prompting to look at  various attributes – colour/s, shape, size, “bumpiness” – to think about why each gourd was unique within this set of gourds (how they are alike…all gourds, all have some orange). The students began to use language layering attributes together to describe uniqueness – “this one is the bumpiest and mostly all orange”.

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After looking at the gourds together and talking through “justifying” their choices, I showed them a WODB from the website wodb.ca - one I often use when introducing WODBs to primary class. I asked the students to notice how the dice were the same and then how they were different and then to turn and talk to a math partner.

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The students then moved on to some table time, choosing from more WODB experiences or working with counting collections. I just used masking tape to add a WODB frame to a table top and added a basket of  fall leaves. The things the students noticed and their theories  - “this one doesn’t belong because it has holes, it has holes because an animal was hungry and munched it” were interesting to listen in on. Lots of opportunities for sharing thinking and reasoning along with oral language development.

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I also had copied some WODB grids for students to use with materials from the classroom. One of the kindergarten classes used a basket of blocks to create WODBs for each other. Some students began by making three items similar and one that was significantly different and then, as they played with the idea of  a WODB a bit more, the students were able to explain a reason for each of the blocks not belonging in some way.

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The routine of WODB emphasizes many of the curricular competencies in K-9 mathematics:

  • use reasoning to explore and make connections,
  • develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving,
  • communicate mathematical thinking in many ways,
  • use mathematical vocabulary and language to contribute to mathematical discussions,
  • explain and justify mathematical ideas and decisions.

Using WODBs as part of your math program provide opportunities to develop curricular competencies connected to curricular content.

wodb-student-book-coverBuilding on the exploration the students were doing with shapes, I left a copy of Christopher Danielson’s book Which One Doesn’t Belong? with the classes so they can continue thinking about shapes and WODBs!

I will be back to visit these classes in a few weeks and am looking forward to seeing and hearing how their mathematical reasoning and communication has developed!

 

~Janice