Monday, January 26, 2026

A bit more detail about the annotated bibliography for the culminating course project

 I've had some questions about the details of the annotated bibliography for the culminating project outline due in early February. It's great that people are asking -- and if a few people have a question, chances are that others do too, so please feel free to email me with any questions about the course!

Here are some details about the annotated bibliography:

  • There's no particular word count for the annotated bibliography, but there is a certain number of items you are asked to include. (I believe it's 5-10 items -- academic and professional articles, websites, videos, etc.) if you're working individually, and 10-20 items if you're working with a partner (recommended if you are able to make that work).
  • That means that you will need to look at, skim or read about 20 - 30 items, and select the best and most helpful ones for you from that list!
  • Once you have read and viewed these selected items in more detail, your annotations should be 1-2 sentences each, in italics, under each item, offering a brief summary and then the reasons why you found the article, video, etc. particularly intriguing and helpful in understanding your topic.
  • Note that the annotated bibliography items should *NOT* be course readings or viewings -- so that you explore beyond the required materials from the course!
I hope that helps you get started, and I will be happy to add further details in response to any questions you raise!

A video "hello!" from Susan, Monday Jan 27

Hi everyone! Here's a little video to say hello ;) 

I hope that everyone is doing well, keeping warm and cozy, despite the harsh winter weather conditions in many places where we live! Take good care, and hope you have power and are not completely snowed in!

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In the video above I shared a very cool math toy/ math manipulative you might be interested in: The Yoshimoto Cube (Wikipedia link), discovered in 1971 by Naoki Yoshimoto, a Japanese designer. 

Here's a Wolfram entry with interactive animation showing how the Yoshimoto Cube unfolds -- and a great YouTube video of the Yoshimoto Cube #1 (the gold and silver version). This version is available via the Museum of Modern Art shop in New York (MoMA design store link), but it's quite pricy these days! (I have one that I bought there for a better price about 10 years ago...)

The multicolour one I showed you in the video came from Staples, of all places -- and it was not expensive! (It's worth keeping an eye on the little items near the checkout at your local Staples store, as they often have fascinating math puzzles and toys as novelty gift items...) I also found a couple of them for sale on Ebay.

And if you explore further, there are more Yoshimoto cubes besides #1! Here are instructions on how to make your own Yoshimoto cube #3 -- and you can find others too!

**Important: some Blogger tips and tricks that will help you format your blog posts legibly & beautifully

   


 Hi everyone! Here are a few tips and tricks you might like for blog design:

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A simple but important tip!

If you are pasting text into your blog for your assignments (for example, from a Word document or another word processing app), sometimes it needs reformatting to be readable on your blog. It's easy to do:

  • Paste your text into a blog post --> ***Update: First save your Word document (under "Save As") as a Plain Text (.txt) document. Then copy and paste the text from the .txt document... it doesn't seem to work directly from Word anymore!
  • Highlight the text




  • Go to the Blogger formatting bar at the top of your new post, and click on the three dots, then on  icon of a capital T with a diagonal bar through it -- the "clear formatting" icon. That will put the newly-pasted text into the default format your blog uses (the font, colour, spacing etc. for your blog theme). 
Alternatively, if you want to post text and keep its original formatting, you can:
  • Post your Word doc or PDF or other document to your Google Drive
  • "Share" it so that "anyone with the link can view" and copy the sharing URL
  • Then paste the URL into your blog post, and readers can access the document via your Google Drive
  • If you want to really get fancy, you could type something (like 'Here is my document'), highlight those words, and go to the 'link' icon at the top of your new post screen (looks like a link of chain). It will prompt you to paste your Google Drive URL into a box on screen... and then you will have a hot link that takes the reader directly to your Google Drive document.
Note that you can post links to documents, photos, slides, videos -- just about any kind of computer file this way.
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You might be interested to learn how to get rid of the 'copies' of blog posts that appear at the bottom of our blog screens. Here's how:

Blogger has made it a default to add 'most popular posts' and 'top posts' to the bottom of blog screens. This might make sense for people who run large-scale, more commercialized blogs, but it's not relevant for us. 

You don't necessarily have to remove these, but you are welcome to do so, and it tidies up the screen a bit. Here's how to do it:

  1. Go to your dashboard by pressing "Design"
  2. Go to "Layout"
  3. Look at the "gadgets" in the sidebar and at the bottom of the screen in Layout mode. There must be a box or two at the bottom of the screen that say "Most popular posts" or "Top posts", something like that. Delete them if you don't want to see one or more of your posts repeated!
  4. Similarly, there must be a gadget that repeats the blog title in the right sidebar. Delete it if you don't want that!
  5. Don't forget to save your layout by clicking on the weird little floppy disc 'save' icon in the bottom right corner of your screen before your leave "Layout" mode.
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Blog posts are generally considered more appealing if they are illustrated -- with a photo, drawing, diagram, etc. You can use your own photos or find something online, but please make sure that you are not violating copyright by 'grabbing' something you like online!

When you do a Google image search, click on the "Tools" box, and then the arrow for "Usage Rights". Then click on the drop-down menu choice, "Creative Commons licenses". This will restrict the images to ones where the photographers/creators have agreed that others can freely use and share them -- so you should be safe to use the Creative Commons licensed images.



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To save your work as you go when making blog posts:

  • Go to the 'Preview' button at the top right corner of the page, and click the downward arrow to the right of it. You'll get a drop-down menu with the choice to 'preview' or 'save/ update'. Choose 'save/ update' and your new blog post in progress will be saved. If you have a long or complicated post, it's good to save as you go several times.

  • There is sometimes an image of an old-fashioned floppy disc (usually in the bottom right corner of the screen?) If you hover over that image, you should have the word "save" appear. That is another way to save things on your blog!
That's it for now! 

 

Week 3: Math outdoors -- Resources, readings, viewing, activity

  


(Norquay Food Forest in April. Spring will come!)

Hello everyone! It's been a foggy, icy week here in Vancouver, with far too much upsetting stuff in the international news. I know that many people in the class might be dealing with heavy snowfalls, ice, very cold temperatures, and possible power outages. I hope you are coping well with all the ups and downs and contingencies of life and taking joy in everyday beauty, wherever you are!


Here is the link to our Week 3 resources, activity, viewing and readings. I hope you enjoy these! 

The activity sheet is linked here as well as in our Week 3 readings. 

As chef Jared Qwustenuxun Williams often writes on his Facebook page:

Go outside and take children with you.

Nem' ch ut'qul yu suwe's tuhw tu smuneem. 

Monday, January 19, 2026

Week 2: Multisensory math -- introduction and all-in-one sheet

  


Hi everyone! Here is the link to our resources and activities for this week (Week 2, Jan 20). I hope you enjoy it and have lots of fun with mathematical food, origami, snowflakes, and some thoughts and ideas about multisensory math. 

Let me know if you have any difficulties accessing things.

See you soon!

Susan 

Monday, January 12, 2026

Your 2024 cohort colleagues have shared some of their culminating projects as examples for you!

 Hi everyone! I sent an email to your 2024 Cohort  colleagues, and quite a few people responded immediately (and generously) in sharing their culminating projects for this course as exemplars for you to take a look at!

Here are the links to the videos of their slides. Note that many of the projects also included lesson outlines, handouts, assessment rubrics, etc. -- these are the presentations only.

Diane Wiens: Acting Out a Problem (video of slide show)

Tamara Shand: Problem Posing Through Pretend Play (video of slide show) (Tamara remarks that she has just completed her Capstone Project on a closely related topic, and has taken these ideas even further now!)

Mike Wong and Megan Schollenberg: Multi-Sensory Social Justice Fair (video of slide show) --> EDIT: and here's another link that Mike sent in case you have any trouble acccessing the first one!

Hannah Nicholson: How Many Ways Can You Show a Repeating Pattern? (slides only available at this point, no video)

(One or two more projects may be added...)

EDIT: Here are two more culminating projects that people have shared!

Shannan Downey & Courtney Fox: A Project in Scale (slides only at this point, no video)

Cailen Langille & Kelly Legere: A Deeper Understanding of Polynomial Function - Embodied Approaches (video of slide show)

Many thanks to the EDCP 553 2024 cohort group for their kindness in sharing these examples of excellent projects!

More details on the culminating course project

No doubt you're wondering about the details of your major project for the course! 

I hope that this outline will answer many of your questions -- and please feel free to ask about other aspects of the project that are not covered here.

I will also post some examples of successful culminating projects from a previous cohort, shared with the authors' permission.

Hope that this project will bring about new insights, ways to follow up on your own curiosity, and good collaborations with your class colleagues! 

Recording and Zoom chat from our first Screenside Chat (Sat Jan 10 /26)

 Hi everyone! Here is the video recording of our first screenside chat, and the Zoom chat notes from that
session.  

(Note that the first 3:57 of the video is just me staring blankly at the screen until people arrive, so you may want to skip ahead to about the 4:00 mark... ;P)

Let me know if you have further questions arising from the discussion here! And FYI, a number of students from the 2024 cohort have kindly offered to share their culminating projects with you as exemplars -- something very helpful I think! I'll be sharing them within the next week.



Thursday, January 8, 2026

Week 1: Mathematics and the Body -- Introduction, viewing, activity and readings

 

 



Here it is, everyone -- our Week 1 readings, viewings, activity and all! Here is a link to everything. You can download this PDF document if that is convenient, or just read it online, and follow the internal links within it to access the viewing, activity sheets and readings

Let me know if you have any problems accessing anything, or if the instructions are unclear. I am very much looking forward to your reflections, accounts and discussion of your explorations!



(A little introductory video -- of course, with some melodeon music!)


A question as you get started: How long should weekly blog posts be? Is there an expected word count?

 Hi everyone! I know that many people need to know more about expectations about the length and nature
of your weekly blog posts. Here's an outline for starters -- let me know by email or in the comments if you have further questions:


The genre of blogging favours relatively brief posts with lots of ideas packed in, accompanied if possible by photos or illustrations, diagrams, video, audio, etc. So shorter, concise and full of ideas and connections is better than very long, wordy posts in the form of an essay.


That said, there are several things you are asked to post on each week. From our course outline (link posted on the first class blog entry):


Each person will be responsible to read the introduction to the topic, watch the video, try the experience (and document with a few photos or a video of what you did), and read and think about the reading you have chosen. You will share your reflections on all these with the members of your study group by a given day (by Saturday at 8 PM), and then read and respond to the reflections your group members have posted before the end of the week (by Monday at midnight).


Starting from your reading response: this should be approximately 4-5 paragraphs long:
1) First paragraph: a concise summary of the article (because the others will likely not have read it)
2) Second and third (and fourth?) paragraphs: Two or three 'stops' (things that made you stop to think, feel, connect, respond, etc. in the article -- see blog post on How to write a reflection on readings in this course: Find two or three 'stops' and write about them, and then end with a question!)

3) Last short paragraph: A question to promote discussion in the responses from your fellow group members.


You should also post your response and documentation on the introduction to the topic, the video and the experience. If you can take some photos of the way you carried out the experience and post some of these, that would be very helpful!
 

I would expect this part of your weekly post to also be around 4 paragraphs long, give or take, plus photos or diagrams or video or audio. 

How to write a reflection on readings in this course: Find two or three 'stops' and write about them, and then end with a question!

 When we are reading, and especially when reading academic writing, there are often places where we can't continue to read smoothly through. It may be that a phrase, sentence or paragraph is densely written or hard to understand at first reading. Sometimes we have to stop to look up a word or an idea. Other times, something is so beautiful or speaks to us so deeply that we need to reread it -- or perhaps it is so irritating or enraging, or so much against what we know or believe to be true that we need to rail against it!

Sometimes the reading reminds us strongly of a personal past experience, or a film, or game, or another reading or story, and we need to stop to explore the connections. Sometimes a particular quote from the writing strikes us with its appropriateness (or the opposite!)

Sometimes there is something that seems to be disconnected from the rest of the writing, and we need to stop to figure out why it might be there.

There might be things that send us to find the author's bio, to try to figure out why they are so interested in something, or why they express things in a certain way.

Any of these, and more, can be considered a 'stop', and these are the things to take notice of in the readings. Your written blog reflections can be based around your 'stops' as you read... and since your reading group members will be responding, please leave them with a question or two at the end to help them get started in commenting!

David Appelbaum, The Stop (1995)




A "stop" is something that stops you (in your reading, in your observations, in your teaching/ learning). The metaphor is suddenly coming across a big rock in your path that stops you from smooth and continuous (and unconscious) walking. It must be attended to. It is a moment that allows for an opening to new paths, new ideas, new approaches if you are able to give it the attention it demands.

A stop in your reading might be something you didn't expect -- something confusing, or difficult, or exceptionally beautiful, or something you strongly agree or disagree with, or an unknown word or phrase. A stop touches you deeply in some way (by irritating, or moving, or perplexing you, for example).

The stops allow for a change of heart, a change of mind, a political and/or intellectual engagement, a reconsideration of strategy, or even a reconsideration of world view.

From Lynn Fels, "Coming into presence: The unfolding of a moment" (Journal of Educational Controversy):

"A stop is a calling to attention; a coming to the crossroads, in which a choice of action or direction must be taken, oft-times blindly, as experienced by Appelbaum’s (1995) blind man as he tap-taps the obstacles he encounters with his white cane—there are as yet unknown consequences of the subsequent action or decision as yet to be taken and embodied.

Between closing and beginning lives a gap, a caesura, a discontinuity.
The betweenness is a hinge that belongs to neither one nor the other.
It is neither poised nor unpoised, yet moves both ways . . .
It is the stop. (Applebaum, 1995, pp. 15-16)

A stop is a moment that tugs on our sleeve, a moment that arrests our habits of engagement, a moment within which horizons shift, and we experience our situation anew. A stop occurs when we come to see or experience things, events, or relationships from a different perspective or understanding; a stop is a moment that calls us to mindful awareness of Arendt’s appeal for renewal through action in the gap between past and future.

How we choose to respond and how that choice of action or non-action impacts on our lives and on the lives of those around us speaks to the risk, the opportunity, to the possibility of action. As media philosophers Taylor and Saarinen (1994) remind us, in spaces as familiar as the London tube, or as unmapped as cyberspace, we must “mind the gap” (p. 5). Applebaum’s moments of stop are moments that call our attention to the gap; moments that interrupt, that provoke new questioning, that evoke response, reflection, and hopefully, lead to meaningful and moral action."

Thomas Kuhn made the argument that scientific knowledge is advanced in small increments within a particular worldview or paradigm, but makes the great leaps through revolutionary paradigm shifts. These shifts involve the equivalent of 'the stop': an anomaly that is taken up as an invitation to a new coming-to-consciousness:

"Scientific development depends in part on a process of non-incremental or revolutionary change. Some revolutions are large, like those associated with the names of Copernicus, Newton, or Darwin, but most are much smaller, like the discovery of oxygen or the planet Uranus. The usual prelude to changes of this sort is, I believed, the awareness of anomaly, of an occurrence or set of occurrences that does not fit existing ways of ordering phenomena. The changes that result therefore require 'putting on a different kind of thinking-cap', one that renders the anomalous lawlike but that, in the process, also transforms the order exhibited by some other phenomena, previously unproblematic. "  

Sharing your blog URL, inviting Susan and classmates to co-author your blog, and setting privacy to 'authors only'

 I hope your blog turned out to be beautiful, and that you are satisfied with it! (And if you are encountering any difficulties, please email me for help with it.)

1) Once you have set up your blog, please go to the google spreadsheet linked here, and add your name, blog URL and the email address you used to create the blog. You'll notice that I have used my gmail address (gerofsky.byrne(at)gmail.com), not my UBC email address -- please invite me to co-author your blog using the gmail, as this will save time! 

2) After everyone has set up their blog and added their URL and email to the list, you will need to invite me and your classmates to be co-authors on your blog. To do so:

(a) go to your dashboard (by clicking on "Design" or "New Post" on the upper right hand corner of your blog), 




(b) go to "Settings", scroll down to "Permissions", and choose "Invite more authors"

(c) copy and paste the rest the of class's emails (including me), and invite them to be blog authors.

3) You should expect to get 22 'invitations to be a blog author' emails to the email address you've put on the spreadsheet. Please 'accept' each of these on the email, and once again on the web page they take you to. 

4) Once we have all accepted these invitations, we can seal off our blogs so that only class members can find them online and read them. To do this, 

(a) go to the "Settings" page from your dashboard

(b) choose "Reader Access" and select "private to authors"

(c) under "Privacy" click off the button that says "Visible to search engines" 



And that's it! I hope that by week 2 (~January 20), we will have this all completed and ready to share only among our class.  

Tentative reading groups for the course are listed on the course outline. (We will plan to switch up the reading groups, if people would like that, about halfway through the course...)

*Important*: Please set up your individual Blogger blog for this course. Here's how!

 Hi everyone. For this course, each student needs to set up a blog on Blogger, invite several others in the class to be 'co-authors', share your blog URL and the email associated with your blog, and then set the privacy to 'authors only'. Here's how, step by step:

1)  Go to blogger.com. Choose 'Create New Blog'. 


2) Sign in. If you already have a gmail account or any kind of google account, use your gmail. (Blogger is a google app, and google loves google.) 

If you don't have a gmail account, you can choose:
(a) to use another email, or
(b) to set up a google/ gmail account following the prompts given on screen ("Create Account").



3)  Choose a name for your blog that begins with your first name. (So my blog would start with "Susan" -- for example, "Susan's Math Explorations").

4)  Choose a URL (web address) for your blog that you will remember, and write it down.





5) You now have a Blogger blog, and should see a welcome dashboard screen like the one shown here! There are still a few steps left to get it looking nice...








6) From the list on the left side of your dashboard screen, choose "Themes". Please scroll down through the many theme choices and choose "Travel Studio" (see screen shot). I like using this 'legacy' theme because it has a nice table of contents that makes it easy to read blogs -- and you can customize it to look the way you like. (However if you feel strongly about choosing some other theme ... that can work too.)









7) Once you pick the theme, go ahead and "Customize" it using the button below the theme. (See screenshot). You can then choose one of many pre-made backgrounds and colour combinations, or even use one of your own photos as a background. Once you choose the background you'd like, don't forget to click on the small "save" icon in the bottom right corner of your screen (looks like an old fashioned floppy disc, for some reason!)





8) You have your blog! Use the back arrow to return to your dashboard and create your first "New Post" by clicking on the the orange "+ New Post" button. You can call this post "Hello world!" (the traditional way), or whatever you like. Type a title and a sentence or two. You can try adding a picture if you're ready to do so. Then publish. Go to "View Blog" (bottom left side of your dashboard screen in blue letters) and you can see your cool new blog!



  

Welcome to our class: Teaching and Learning Embodied Mathematics Outdoors & Via the Arts


 


Hello everyone, and welcome to our EDCP 553 course together! Looking forward to exploring embodied mathematics through the arts and the living world outdoors together.

Our class runs for ten weeks, January 8 - March 23, 2026. Each week, we will address a different topic, with an introduction, an activity, a film or other viewing, and articles for each of the three people in your reading group to reflect on and discuss.

You can reach me via email at both my gmail, gerofsky.byrne@gmail.com, AND my UBC email (which hasn't been working quite as well as it should) at susan.gerofsky(at)ubc.ca. Our draft course outline (as of January 8, 2024) is linked here.

We will be working primarily with blogs, and in the first week, we'll set up individual blogs on Blogger, and invite the members of the reading group to one another's blogs.

Here's to a good and healthy year, and to artful mathematical learning!

Here are the proposed dates (to be confirmed) for our three optional class Zoom sessions from 9:30 - 10:45 AM Pacific Time, at the Zoom link pasted in below. The sessions will be recorded and posted to our class blog for those who might want to view them later.

  1. Sat Jan 10, 9:30 - 10:45 AM Pacific Time (introduction to the course)
  2. Sat Feb 28, 9:30-10:45 AM Pacific Time (midpoint check-in)
  3. Sat March 21, 9:30-10:45 AM Pacific Time (a chance to share your project if you would like to!)
    Zoom invitation:
      Susan Gerofsky 趙書琴 is inviting you to a scheduled Zoom meeting.

      Topic: EDCP 553-26 Cohort Optional Screenside Chats
      Time: This is a recurring meeting Meet anytime

      Join Zoom Meeting:

      Meeting ID: 685 9854 8876
      Passcode: 088071

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      +17789072071,,68598548876#,,,,,,0#,,088071#

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