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~ 6 participants per table

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Slides is now accessible 🤗

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MTC2023 WS-S2 Using graphic organizers to improve mathematical and computational thinking

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Implementation starting with
2020 Secondary One Cohort

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Implementation starting with
2020 Secondary Three Cohort

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These experiences convinced Paul and Gough that something powerful happens when auditory learning is transposed into images. It didn't take much to excite students about the idea.

"It really is amazing how much, with just a tiny bit of introduction, most kids will take to it," Paul said.

Teachers were more skeptical at first, but the approach and its results slowly won many of them over. A fifth-grade science teacher at Trinity was convinced when a student left his understanding of how magnets work on her desk -- a sheet of paper covered in drawings.

"What they can produce is beautiful and it makes them better listeners," Gough said.

The practice also makes student learning visible and provides a valuable formative assessment tool. If a student sketches an interesting side note in the lesson, but misses the big themes, that will show up in her drawing. And when students share their drawings with one another, they have the chance to fill in the gaps in their knowledge, and drawings, while discussing the key ideas. Going over the drawings also solidifies the information for students.

"We're using the collective brain to deepen all of our learning," Paul said.
BASED IN NEUROSCIENCE
While doodling has often been seen as frivolous at best and distracting at worst, the idea of sketchnoting has grounding in neuroscience research about how to improve memory. When ideas and related concepts can be encapsulated in an image, the brain remembers the information associated with that image. William Klemm, a professor of neuroscience at Texas A&M University, says the process is akin to a zip file.

"This is a way to get your working memory to carry more," Klemm said at a Learning and the Brain conference in San Francisco.

Klemm advocates thinking in images and stringing them together into what he calls "story chains," to vastly improve how much students can remember. Sketching notes makes these story chains visible and tangible.

"Teachers were amazed at the depth and diversity of what the kids produce, even the first time we tried this," Paul said.

Gough and Paul were originally inspired by Sunni Brown's TED Talk, in which she tries to convince listeners that drawing plays a central role in learning. Later the two educators took Brown's webinar, which helped give them useful tricks and, most importantly, the license to mess up, share their failures and keep practicing.

[ted id=1230]

And, while students take copious notes, they may not be retaining much of what they write down. When a student doodles, on the other hand, he is synthesizing the information, making choices about what's important and encoding the memory in a new way.

"If we draw or sketch, that's activating the visual pathway, so we're using our audio senses to take in information. But our output is visual, so there isn't that traffic jam," Gough said.

It can be hard to sketchnote in real time and keep up with the flow of a lectures. But even that isn't all bad. "Even the things you cut get attached to the things you did choose because you can take yourself back to that choice," Paul said. The two educators have also experimented with using little sketches as ways to take notes in the margins of books.
DOODLING IN THE DIGITAL AGE
It may seem like doodling will become a thing of the past as schools increasingly move towards digital textbooks and notetaking. But Gough and Paul say there are always ways to adapt the practice and new affordances that technology can offer. Since many public school students can't write in their paper textbooks anyway, perhaps they can sketch when they take notes virtually. Sketching with a stylus on a tablet, for example, could also offer some interesting new avenues for color and design that pen and paper don't.

More than anything, Paul and Gough want to offer multiple entry points for students to access learning. While doodling works for some kids, it might not for others and that's fine. What's most important is that teachers allow for variation in learning styles, even when it is unfamiliar to them.

"If we are going to model lifelong learning for and with children and our colleagues, sometimes we have to be uncomfortable and try it," Gough said.

Sketchnoting has become an important learning tool for these two educators, but they say it was just as important to practice public risk-taking.

Both women tweeted out their sketches from the very beginning -- a scary thing to do when the first pictures were mostly stick figures running off the page, but one that immediately helped generate support from other doodlers. Now Paul and Gough regularly share both their own drawings and their students' work and growth.

Don't miss an episode of Stories Teachers Share.

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Making Learning Visible: Doodling Helps Memories Stick | KQED

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Schools are teaching sketchnoting as an innovative way to help students synthesize information that's important. Doodlers are making connections from what they hear to what they draw.

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Excalidraw - Collaborative whiteboarding made easy

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Excalidraw is a virtual collaborative whiteboard tool that lets you easily sketch diagrams that have a hand-drawn feel to them.

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Flowchart Maker & Online Diagram Software

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draw.io is free online diagram software for making flowcharts, process diagrams, org charts, UML, ER and network diagrams

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Coggle is online software for creating and sharing mindmaps and flowcharts. It works online in your browser: there's nothing to download or install. Log in to start diagramming!

Whether you're taking notes, brainstorming, planning, or doing something awesomely creative, it is super simple to visualise your ideas with Coggle. Share with as many friends or colleagues as you like. Changes you make will show up instantly in their browser, wherever they are in the world

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The clear way to share complex information. Coggle is a collaborative mind-mapping tool that helps you make sense of complex things. Create unlimited mind maps and easily share them with friends and colleagues.

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Structure writing

Use notes and attachments to quickly create a structure for an article or a writing assignment, then create a document outline and continue editing in your favourite writing tool

Create storyboards

Use a frictionless planning canvas to capture and organise your thoughts, and then put them into a powerful storyboard to turn a hierarchy of ideas into a sequence of slides.

Post to social media

MindMup Atlas automatically adds images and contextual information to ensure that your maps show up nicely on Twitter, Facebook, Google+, LinkedIn and Pinterest.

Plan and manage projects

Add measurements to map nodes to automatically calculate cost, completion and other important factors. Manage project progress easily with icons and priorities.

Collaborate easily

Maps saved to MindMup Cloud support concurrent editing for teams and classrooms, enabling you to instantly see updates made to your map by other users.

Attach documents

Add longer text, videos and spreadsheets to your maps. MindMup for Google Drive also allows you to link to other project documents on Google Drive easily.

Add images

Quickly add images and icons to your maps to provide context and illustrations.

Administer easily

Administrators can easily control sharing settings for the entire organisation. MindMup also integrates with Office365 and Google authentication for easy account management.

MindMup Cloud

Free users can create public maps up to 100 KB and save them up to six months. No account or registration needed.

Gold users can create private maps, share and edit concurrently.
Create a new map Open an existing map

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Free online mind mapping. The most productive online mind map canvas on the Web. Supports Freemind mindmap import/export. Easy mindmapping software.

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MindMeister: Online Mind Mapping and Brainstorming

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Create, share and collaboratively work on mind maps with MindMeister, the leading online mind mapping software. Includes apps for iPhone, iPad and Android.

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Lucidchart | Diagramming Powered By Intelligence

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Create next-generation diagrams with AI, data, and automation in Lucidchart. Understand and optimize every system and process.

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Jamboard - Requires login with a Google account

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Create tomorrow together, today

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Next big thing? No big deal. Three simple keys to the future.

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Design customer-centric solutions

Foster a customer-centric mindset and build a mutual team space, where everyone can capture insights, structure them with diagrams and tables, and share it all in a central spot.

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Accelerate time to market with a full suite of capabilities designed for innovation, including diagramming, real-time data visualization, and workshop facilitation. Miro also gives you built-in support for common product development processes, with agile practices like estimation and retrospectives.

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Workshops & async collaboration

Unlock faster, more engaged and more productive feedback cycles for deep collaborative work. By bringing together slides, real-time data visualizations, action items, and diagrams, you'll have everything you need to make good decisions, collected on a single board.

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Miro | The Visual Workspace for Innovation

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Miro is a visual workspace for innovation where teams manage projects, design products, and build the future together. Join 60M+ users from around the world.

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Quadratic functions map - navigating the trinity

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[est. 10 min]

1. Each pair to choose a Graphic Organiser

Checklist

Flowchart

Concept map / Mindmap

Any other GO

2. Plan a learning experience that enables students to use the Graphic Organiser to help them in their learning in a particular topic.

POSTING your product(s) in Padlet

Under the column, "Table N"

1. You may describe the lesson/ activity in the Padlet post directly.

2. You may also post photo(s) of your work (e.g. diagrams) in the post.

3. Remember to indicate the TOPIC as well as your names in the subject heading of the post

e.g. S2 Probability (Lai Fong & Yi Jie)

4. If you have more than 1 post for the lesson/ activity, you may 'colour' the posts to distinguish them from other lessons/ activities posted in the same column.

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[est. 15 min]
Take turn to share your lesson ideas/ activities at the table
(approx. 5 min per pair)

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[est. 25 min]

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20230908 MTC2023 (Maths Teachers Conference)

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Checklist for plotting of graphs (sec 3 E Maths)

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Checklist for plotting of graphs (sec 3 E Maths)

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- Make y the subject of the formula
- Complete table of values
- Determine range of values for both x and y
- Determine scale to be used for x and y axes
- Draw axes based on scale and range of values for x and y and label axes
- Plot the (x,y) coordinates from the table of values
- Join the points
- Label equation

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Level: Sec 1
Topic: Linear Equation in Real Life Context

Start lesson on linear equation recap.
Show students some questions related to age that used linear equation.
Show the solving of question by model method.
Relate to the checklist and replace model with algebra

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Who will rule Trigonometry? (Flowchart on finding sides of Triangles Sec3)

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Who will rule Trigonometry? (Flowchart on finding sides of Triangles Sec3)

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Concept map on solving log and exponential function (Sec 3 Exp AMath)

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Concept map on solving log and exponential function (Sec 3 Exp AMath)

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AM Sec 3 Quadratic Inequality - Checklist

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AM Sec 3 Quadratic Inequality - Checklist

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Sec 3 AM discriminant and nature of roots

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Sec 3 AM discriminant and nature of roots

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We primarily used a mindmap, with some elements of a flow chart.

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Can be used for all topics for construction of proofs
Ideas from Dr Leong Yew Hoong

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Add math sec 4
proofs in plane geometry
Consolidate and making connections across geometrical proof

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Peer and Self Assessment_Plotting of Graphs

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Sec 3 Coordinate Geometry (Finding eqn of a straight line)

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Concept Map on Partial Fractions for Sec 3Exp/NA Additional Mathematics 

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Concept Map on Partial Fractions for Sec 3Exp/NA Additional Mathematics 

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Flowchart for S1 Prime and Composite Numbers

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Flowchart for S1 Prime and Composite Numbers

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Flowchart - (Amath) Solve Trigo Equations

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Flowchart - (Amath) Solve Trigo Equations

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Topic: Solving the Quadratic equations by completing the square

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Add maths - integration