Archive for the ‘intermediate’ Category

December thinking together: visualize to explore mathematical concepts

Posted on: December 11th, 2018 by jnovakowski No Comments

This month’s focus is on the curricular competency: visualize to explore mathematical concepts.

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In the 2007 WNCP mathematics curriculum, visualization is defined as involving “thinking in pictures and images, and the ability to perceive, transform and recreate different aspects of the visual-spatial world”. Concepts such as number, spatial relationships, linear relationships, measurement, and functions and relations can be explored and developed through visualization.

In the new BC grades 10-12 courses, the elaborations for this curricular competency are:

  • create and use mental images to support understanding
  • visualization can be supported using dynamic materials (e.g., graphical relationships and simulations), concrete materials, drawings, and diagrams

Visualization and spatial reasoning involve the relationship between 2D and 3D shapes as well as dynamic imagery such as different perspectives, movement, rotations and reflections. Visualizing involves an interplay between internal imagery and external representations  (Crapo cited in NRICH article below). Students need experience with concrete and visual representations/pictures/models as well as being able to visualize something in their minds, often referred to as the “mind’s eye”.

Canadian and International research has shown that there are links between strong abilities to visualize and success in mathematics. One widely used psychological assessment for visualization involves “The Paper Folding Test”  in which a paper is folded and a hole is placed through a specific location and the participant is asked to visualize what the paper will look like when it is unfolded, utilizing the ability to generate, maintain and manipulate a mental image, (Lohman, 1996 cited in Moss et al 2016). A recent study also found a link between the ability to visualize and success with solving mathematical word problems, citing the ability to mentally visualize and make sense of the problem contributed to success in diagramming and solving problems (Boonen et al 2013 cited in Moss et al 2016). The Canadian work of (Moss et al 2016 ) and their Math for Young Children research project focuses on spatial reasoning and the importance of developing students’ flexible use of visualization skills and strategies.

 

Instructional Resources

Screen Shot 2018-12-11 at 4.11.50 PMThe book Taking Shape (referenced below) provides several visualization tasks on pages 30-35 but visualization is an important component of most of the spatial reasoning tasks in the book.

 

 

 

 

Quick Images is an instructional routine that supports the visualization of quantities and shapes. Dot patterns and Screen Shot 2018-12-11 at 2.26.05 PMcomposition of shapes are often used as quick images. More information and videos can be found on the TEDD website HERE.

 

A short article from the NCTM explaining the connection between visualization and subitizing can be found here:

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Screen Shot 2018-12-11 at 2.28.51 PMFawn Nguyen has compiled a collection of visual patterns HERE. Visual patterns provide the first three steps of the pattern and then students are asked to visualize the next steps, which involves both arithmetic, algebraic and geometric thinking.

 

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visualize and graph linear relationships and functions and relations.

 

 

So what does it mean to be proficient with visualizing?

As we begin to work with the new proficiency scale across BC, we need to consider what it means to be proficient with visualizing to explore mathematical concepts in relation to the grade level curricular content. As more teachers across the provinces the the scale, we will have examples of student proficiency that demonstrates initial, partial, complete and sophisticated understanding of the concepts and competencies involved.

For example, a grade six student at the end of the year would be considered proficient with visualizing geometric transformations if they were able to follow directions to mentally translate, rotate and reflect a 2D shape and show or describe the resulting orientation/position.

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Some questions to consider as you plan for learning opportunities to develop the competency of visualizing:

How is the core competency of communication developed through the process of visualization? What different ways can students show and explain what they are visualizing – using materials, pictures or words?

How do the competencies of estimating and visualizing complement each other to support reasoning and analyzing in mathematics? How can using visual referents support estimating?

How can we help students understand the purpose and usefulness of developing visualization skills and strategies? What examples can we share of scientists and inventors that used visualization to develop theories and ideas?

What opportunities are we creating for students to practice and use visualization skills and strategies across different mathematical content areas such as geometry, measurement, number, algebra and functions?

~Janice

 

References

Thinking Through and By Visualizing (NRICH)

The Power of Visualization in Math by Jeremiah Ruesch

Spatial Reasoning in the Early Years: Principles, Assertions, and Speculations by Brent Davis and the Spatial Reasoning Study Group, 2015

Taking Shape: Activities to Develop Geometric and Spatial Thinking by Joan Moss, Catherine D. Bruce, Tara Flynn and Zachary Hawes, 2016

 

September thinking together: mathematics curricular competencies

Posted on: September 28th, 2018 by jnovakowski No Comments

For the 2018-19 school year, the “thinking together” series of blog posts will focus on the curricular competencies in the mathematics curriculum.  The “thinking together” series is meant to support professional learning and provoke discussion and thinking. This month will provide an overview of the curricular competenecies and then each month we will zoom in and focus on one curricular competency and examine connections to K-12 curricular content, possible learning experiences and assessment.

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The curricular competencies are the “do” part of the know-do-understand (KDU) model of learning from BC’s redesigned curriculum.

The curricular competencies are intended to reflect the discipline of mathematics and highlight the practices, processes and competencies of mathematicians such as justifying, estimating, visualizing and explaining

The curricular competencies are connected the the Core Competencies of Communication, Thinking  and Personal & Social. More information about the Core Competencies can be found HERE.

 

Screen Shot 2018-09-28 at 9.45.26 PMThe curricular competencies along with the curricular content comprise the legally mandated part of the curriculum, now called learning standards. This means these competencies are required to be taught, assessed and learning achievement for these competencies is communicated to students and parents.

Something unique about the mathematics curricular competencies is that they are essentially the same from K-12. K-5 competencies are exactly the same with some slight additions in grades 6-9 and then building on what was created in K-9 for the grades 10-12 courses. Because they are the same at each grade level, to be assessed at “grade level” they need to be connected to curricular content. For example, one of the curricular competencies is “estimate reasonably” – for Kindergarten that will mean with quantities to 10, for grade 4 that could mean for quantities to 10 000 or for the measurement of perimeter using standard units and for grade 8 estimating reasonably could be practiced when operating with fractions or considering best buys when learning about financial literacy.

The new classroom assessment framework developed by BC teachers and the Ministry of Education focuses on assessing curricular competencies and can be found HERE.  A document outlining criteria categories, criteria and sample applications specific to K-9 Mathematics can be found HERE. The new four-point proficiency scale provides language to support teachers and students as they engage in classroom assessment.

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As we are begin a new school year and are thinking about year plans and overviews we might consider the following questions:

  • What opportunities do students have to learn about what it means to be a mathematician and what mathematicians do?
  • What opportunities can be created over the school year for students to name, be aware of, practice, develop and reflect on the core and curricular competencies in mathematics?
  • How can we make the core competencies and curricular competencies in mathematics visible in our classrooms and schools?
  • As we are planning for instruction and assessment, how are we being intentional about weaving together both curricular competencies and content? What curricular content areas complement and are linking to specific curricular competencies?

~Janice

school-based collaborative professional inquiry projects

Posted on: June 14th, 2018 by jnovakowski 1 Comment

One of the professional learning structures used in our district is collaborative professional inquiry based in schools. I collaborate with school teams that come together with a focused area of professional inquiry in the area of mathematical teaching and learning. I support the school teams through developing curricular and pedagogical content knowledge through mini-sessions and providing resources as well as planning together and engaging in adapted lesson study including time each visit to debrief and plan next steps. This year, all school teams involved included at least one teacher in the district’s mentoring program as we focus on supporting teachers new to our district and to the profession.

General Currie (term 1)

The three kindergarten teachers at Currie (two new to teaching K) chose to focus on core concepts and inclusive instructional routines related to these concepts. Inclusive routines are those that provide access points for all students in the class and are used regularly over time to develop mathematical thinking and ideas. The routines focus on developing the mathematical curricular competencies and content in our curriculum. Over several sessions in the kindergarten classrooms we engaged in routines such as counting collections, clothesline, decomposing and number provocations. The three teachers and their classes followed up this project with a field trip to The Studio at Grauer.

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Garden City (terms 1 & 2)

Three small groups of kindergarten through Grade 5 teachers came together with a combined focus of “connecting the dots” of the redesigned curriculum – weaving together key elements such as inquiry, teaching and learning through big ideas, new content areas like financial literacy and a focus on First Peoples Principles of Learning and connecting math to place. I spent several sessions in classrooms co-teaching with teachers and having lunch hour meetings.

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Tomsett (term 2)

A large group of kindergarten through grade 6 teachers chose to focus on supporting student learning of number concepts through a guided math approach. This approach to teaching math was new to all of the teachers involved. A guided math session (often done once or twice a week) has a focus of a core math concept as the focus. A whole group mini-lesson or routine begins the session followed by opportunities for students to practice in small groups or independently. This practice may involve working with materials, math games, an open task or problem or using an app with visual tools that support mathematical understanding. The teachers works with small groups of 2-5 students round this core math concept for about 5-8 minutes, designing and structuring a mini-lesson for them at their “just right” math level of understanding. The is an opportunity for the teacher to collect assessment evidence of students’ understanding. The end of the session involves connecting the dots between the practice opportunities and consolidating students’ thinking through sharing and discourse.

I spent several in-class sessions with student and teachers as well as lunch hour debriefs, sharing and planning with the teachers.  In between my visits, the teachers collaborated and shared resources and ideas amongst themselves. At the end of the term the grades 5&6 teacher reflected on how the project had transformed her teaching and commented that she will never go back to teaching math the way she used to. All of the teachers commented on how much better they knew each of the students’ mathematical understanding through this approach.

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Steves (terms 2 &3)

A team of four grades 2-5 teachers chose to focus on structures that support differentiation in mathematics teaching and learning. In-class co-teaching sessions and lunch hour meetings focused on inclusive instructional routines, rich open tasks and providing choice with a lens to addressing the range of learners in each classroom. In the grades 2&3 class routines such as number talks and Which One Doesn’t Belong? and games were introduced and extended through work with materials. In the grades 3&4 and 4&5 classes, some of the structures we focused on were choice – choice of materials and choice of ways to represent thinking. We also used open questions and contextual problems that focused on big ideas and core concepts and considered how these tasks provided access points for all learners.

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I always enjoy being immersed in classrooms and schools, learning together with teachers and students!

~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

April thinking together: How do the core competencies connect with mathematics?

Posted on: June 7th, 2018 by jnovakowski

The Core Competencies are at the centre of BC’s redesigned curriculum and underpin the curricular competencies in each discipline, such as math. An overview video about the Core Competencies can be viewed HERE. Drawing from global education research and through provincial consultation with stakeholder groups, three Core Competencies were identified – Thinking (creative and critical), Communication and Personal & Social (positive personal and cultural identity, personal awareness and responsibility, and social responsibility).

As we develop awareness about the Core Competencies during the school year, we consider the ideas of “notice, name and nurture” – looking for evidence of core competency development or application in our classrooms and schools.

In our district, we have created Core Competency posters in both English and French, overviewing all the core competencies as well as posters specific to one core competency (all available through the district portal). These posters are up in classrooms and schools to create awareness and develop common language around the core competencies.

In The Studio at Grauer, much of the work we do in mathematics has elements of the core competencies involved. In the mathematics curriculum, each of the curricular competencies is linked to one or more of the core competencies. The COMMUNICATION chart in the photograph below is an example of how I make this focus clear to myself, teachers and the students when we work together in The Studio. I often identify a specific curricular competency in our initial gathering meeting, that we are going to focus on together as we work with a mathematical idea. For example, I might say to the students,
“Today as you are thinking about comparing and ordering fractions with materials, practice explaining and justifying your decisions to a partner – that will be our focus when we come back as a whole group at the end of our time together today.” 

Other times, I will ask the students to reflect on their last experience in The Studio and consider what they need to work on around communication, either personally or as a class.

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The following are documents that show the links between the Core Competencies and the Curricular Competencies in Mathematics:

SD38 K-5 Math Connections between Core and Curricular Competencies

SD38 6-9 Math Connections between Core and Curricular Competencies

SD38 K-5 Math Communication

We have woven self-assessment and reflection about the core competencies into our projects and learning together throughout the year. During the last school year, there was a requirement for students to do a “formal” self-assessment to be included in the June report card. For students to authentically self-assess and reflect, they need to be familiar with the language of the core competencies and be able to connect to learning experiences they have had throughout the school year. During the third term last year, the grades 3&4 class from Grauer visiting The Studio weekly to engage in a mathematics project around the work of Coast Salish artist Susan Point. At the end of each session together, we had the students share their learning – what did you learn? how did it go/what did you do? what’s next for your learning/what are you wondering about? Sometimes students turned and talked to someone near them, other times, students shared their learning and thinking to the whole class.

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Every few weeks, we had the students do a written/drawn self-assessment and reflection. We have found that using question prompts to support reflection and considering evidence of learning has been the most authentic and personalized way to have students think about and connect to the core competencies. We developed some recording formats to capture students’ thinking, with the clear intent that students are not expected to “answer” all the questions – that they are they to prompt and provoke reflection and self-assessment. A team of Grauer educators were working together on an Innovation Grant project around creative thinking and growth mindset and we wove these ideas in to some of the self-assessments.

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Here is one example of a recording form:

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As we are coming to the end of another school year and are thinking about the student self-assessment of the core competencies component for year-end communication of student learning, we might consider the following questions:

  • What opportunities have students had to experience and develop the core competencies in their mathematics learning?
  • What opportunities over the school year have students had to name and reflect on the core and curricular competencies in mathematics?
  • How have we made the core competencies and curricular competencies in mathematics visible in our classrooms and schools?
  • How have the core and curricular competencies language and ideas been embedded in the mathematical community and discourse in our classrooms and schools?
  • What different ways have students been able to share, reflect on and self-assess their mathematical thinking and learning?

~Janice

creating spaces for playful inquiry: thinking about the hundred languages – April 2018

Posted on: May 16th, 2018 by jnovakowski

For our final session of this year’s Creating Spaces for Playful Inquiry professional learning series, we focused on the Hundred Languages – a grounding element of the educational approach from the childcare centres in Reggio Emilia, Italy. The Hundred Languages concept is based on a poem by Loris Malaguzzi who suggests that all children have a hundred languages (or more) in which to express themselves and that are role as educators (and school systems) is to nurture these languages, not suppress them.

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As Richmond educators entered the room, they were invited to they were asked to reflect on how the hundred languages are living in their classrooms.

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The Richmond educators who visited Opal School in Portland over spring break shared their reflections on the experience through documentation panels.

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Carrie Bourne,  Jen Yager and Julie Curran shared what they learned at Opal and how they have taken some of these ideas up in their own teaching contexts.

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Marie Thom and I shared some of our experiences from our Canadian Study Tour of Reggio Emilia in March. I shared some ideas I saw about intersecting digital and analog languages through digital landscapes and Marie shared the power of the language of food and the metaphor of the table to bring people together.

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After dinner together (enacting the table metaphor) our interest groups met with playful inquiry mentors to share ideas and go deeper with their understanding about playful inquiry.

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We collected feedback from educators who have attended this three part series as we reflect on our learning from this year and think ahead to next year.

“Love the opportunity to collaborate with others and hear others share about their thinking/learning and what they are trying in their classrooms. It is thought-provoking and inspiring.”

“Playful inquiry and teaching is a learning process, always growing and changing and best in collaboration with others teachers and peers.”

“This series has kept me inspired when I’ve felt uninspired or simply tired.”

“This series completely changed the lens through which I see my role as the teacher and the roles of the students.”

There was considerable interest in creating opportunities for teachers to visit others’ classrooms to see playful inquiry in action and to be able to collaborate with colleagues from across the district.

 

Regardless of how how things unfold for professional learning opportunities in our district for next year, we know we have a strong and growing community of educators committed to teaching and learning through playful inquiry. Thanks to all of the educators involved in this series for their contributions and participation!

~Janice on behalf of the Playful Inquiry Mentors

2017-18 big mathematical ideas for grades 3-5

Posted on: May 13th, 2018 by jnovakowski 2 Comments

In its fourth year, a group of grades 3-5 teachers came together three times after school to think about the big mathematical ideas for this grade range, considering the pedagogical content knowledge needed to teach and assess student learning. Our first session of the year on October 18 focused on the number concepts big ideas in our curriculum which at gates 3-5 focus on a deep understanding of fractions.

We began with an image from fractiontalks.com – a website curated by Canadian math educator Nat Banting. We considered what students needed to understand about fractions to engage with this task and anticipated how are students might respond to the challenge of figuring out what fractional part of the large square is the shaded blue triangle.

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We considered how different materials provided different affordances for thinking about fractions, particularly thinking about different ways to represent fractions – set, area and linear. Some of the text slides from the session and a handout follow.

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Unfortunately, I had to cancel our January session due to illness.

We came together again on April 11 and based on feedback from the group, discussed computational fluency and the role of inquiry in learning mathematics. We revisited instructional routines such as Which One Doesn’t Belong? (wodb.ca) and considered how these routines incorporate questioning, wondering and nurture the curricular competencies in mathematics.

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~Janice

Talk With Our Kids About Money 2018

Posted on: May 12th, 2018 by jnovakowski

As part of a national financial literacy month every April, the Richmond School District participates in Talk With Our Kids About Money Day (TWOKAM) the third Wednesday in April. Financial literacy is a new part of BC’s redesigned mathematics curriculum with a content learning standard at each grade level from K-grade 9.

To raise awareness of the resources available to teacher, local CFEE (Canadian Federation for Economic Education) representative Tracy Weeks shared materials and information at our Elementary Math Focus Afternoon in January.

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In April, an assembly was held at Burnett Secondary with CFEE president Gary Rabbior talking to students about financial literacy.  Tracy Weeks (CFEE) facilitated an information session for parents at Hamilton Elementary on April 9.

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On April 18 – national TWOKAM day – a finale event was held for parents and students at Brighouse Elementary. Student projects from Burnett Secondary were on display and guest speaker Paul Lermitte shared ideas with parents for developing financial literacy with their children at home. Thank you to Brighouse for hosting this well-attended event!

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We hope to continue to grow the idea of “Money Fairs” (think financial literacy fairs like science fairs) in our district as we continue to teach and learn about financial literacy in our classrooms.

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TWOKAM – CFEE website link

~Janice

March thinking together: What is computational fluency?

Posted on: May 12th, 2018 by jnovakowski

Computational fluency is defined as having efficient, flexible and accurate methods for computing.

-NCTM, 2000

Computational fluency develops from a strong sense of number.

(BC Math Curriculum, Big Idea, K-9, 2015)

 

In BC’s redesigned curriculum, computational fluency has been given a heightened emphasis. In mathematics, there are typically four strands of topics/content and in this iteration of our curriculum, a fifth strand – computational fluency –  has been added and this is reflected in the big ideas and curricular competencies and content.

The meta big idea around computational fluency in our BC K-9 Mathematics curriculum is:

Computational fluency develops from a strong sense of number.

There is a big idea for computational fluency at each grade level:

K: One-to-one correspondence and a sense of 5 and 10 are essential for fluency with numbers.
Grade 1: Addition and subtraction with numbers to 10 can be modelled concretely, pictorially, and symbolically to develop computational fluency.
Grade 2: Development of computational fluency in addition and subtraction with numbers to 100 requires an understanding of place value.
Grade 3: Development of computational fluency in addition, subtraction, multiplication and division of whole numbers requires flexible decomposing and composing.
Grade 4: Development of computational fluency and multiplicative thinking requires analysis of patterns and relations in multiplication and division.
Grade 5: Computational fluency and flexibility with numbers extend to operations with larger (multi-digit) numbers.
Grade 6: Computational fluency and flexibility with numbers extend to operations with whole numbers and decimals.
Grade 7: Computational fluency and flexibility with numbers extend to operations with integers and decimals.
Grade 8: Computational fluency and flexibility extend to operations with fractions.
Grade 9: Computational fluency and flexibility with numbers extend to operations with rational numbers.

As computational fluency with whole numbers is focused on in the earlier grades, it is expected that students will apply number sense and computational fluency and flexibility to their work with decimal numbers, greater numbers, integers and fractions.

For addition and subtraction and then multiplication and division, students develop computational fluency over three years – beginning with emerging fluency, then developing through proficiency and then moving on to extending fluency with increased flexibility and ability to apply strategies across contexts and content.

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For example, with addition and subtraction:

In Grade 3, the curricular content learning standard is “addition and subtraction facts to 20 (emerging computational fluency)“.

In Grade 4, it is “addition and subtraction facts to 20 (developing computational fluency)”.

And in Grade 5, it is “addition and subtraction facts to 20 (extending computational fluency)”.

It is also important to be aware of what comes before and after these three stages of development. In grades 1 and 2, students are introduced to the concepts of addition and subtraction as well as the related symbolic notation. They begin to practice mental math computational strategies building on their understanding of five and ten and decomposing numbers to work flexibly with addition and subtraction questions. In grades 6&7, students apply computational strategies that they have developed for addition and subtraction facts with greater whole numbers, decimal numbers and integers.

There is a similar progression for multiplication and division facts.

A note about memorizing…memorizing is one form of learning but is not necessarily related to students having computational fluency. Many teachers in our district report that their students have memorized their addition or multiplication facts but need support with thinking flexibly and fluently with numbers. In our BC mathematics curriculum, the expectation is that by the end of Grade 3 for addition and the end of Grade 5 for multiplication,  that most students will be able to recall their facts. In a previous curriculum, recall was defined as being able to compute within three seconds. For some students, there may be instant memory retrieval and for other students they may bring the sum or product to mind through an efficient mental computational strategy or associative retrieval process.

Number Talks are an essential instructional routine in developing strategies, mathematical discourse and creating awareness about computational fluency. Key resources include:

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Number Talks

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So some questions to think about…

How would you define computational fluency? What does it look like? sound like?

What do your students need move towards more developed computational fluency?

What do you need to understand more about regarding a continuum of learning and specific strategies related to computational fluency?

What are different ways to develop computational fluency? What instructional routines, games or tasks could we use for practice?

How can we communicate the goals of computational fluency to parents?

~Janice

elementary math focus afternoon 2018

Posted on: May 11th, 2018 by jnovakowski

On the afternoon of January 26, staffs from twelve elementary schools gathered at Grauer Elementary for our annual Elementary Math Focus Afternoon.

The overview slides (photographs from classrooms not included to reduce file size) from the opening to the afternoon can be found here:

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Many school teams brought displays to share how they have been working with BC’s redesigned mathematics curriculum.

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Educators could choose from a variety of Richmond teacher-led sessions to learn about instructional routines and practices that are aligned with the BC redesigned curriculum.

FINAL_Elementary Math Focus Afternoon Jan 26 2018 program

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Handouts from Fred Harwood’s sessions can be downloaded here:

Elem Focus Day Jan 2018 Rich Investigations

2018 Elem Math Focus Visual patterns

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Thanks to Tracy Weeks of the Canadian Federation for Economic Education (CFEE) for coming and sharing information about financial literacy with Richmond educators.

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As educators gathered back in the gym for an end of afternoon prize draw of math resources, they were left with a reminder to consider the mathematical story that is being told in their classrooms and schools. What story do we want our students to tell about their mathematical experience here in our district?

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~Janice