Saturday, March 12, 2022

Week 9 Reflection - Mathematics & traditional and contemporary practices of making and doing

Sometimes accessing mathematical ways of knowing and doing doesn’t start with the mathematics, it starts with the doing, making, creating and from that can comes an understanding of the mathematics, or a recognition of the mathematics and a desire to know more about the mathematics to deepen understanding of the making…the two way inspiration that Dr. Gerofsky talked about in the introduction.

Many of us grew up with the a combination of the worldview of capitalism - wealth as personal accumulation and as a goal in life, and the value of individuality and self-reliance. This is drastically different from Indigenous worldviews in which wealth is measured in the number of children and grandchildren that you have and in how much you give away. The colonial worldview, that many Canadian colonial children grew up, with is that human beings are on the top of the food chain, and in fact all chains, higher than animals and all things on the land. This is also in drastic contrast to Indigenous worldviews in which the interconnectedness of all things – human and more-than-human, elevate the value of each as a result of the interdependence of all things. In Indigenous worldviews the natural world is not a commodity, it is a relation (Indigenomics by Carol Anne Hilton).

The question, “how does an embodied, mindful AND conceptual way of living balance our lives differently from the mainstream traditions of consumer culture, and the industrial model of schooling that most of us grew up with?” is a big question. When I work with the FPPL and as I try to learn about and bring Indigenous ways of knowing into the classroom, I see connections between embodiment, mindfulness and conceptual ways of knowing. Learning is not only about acquiring knowledge, it is also about remembering. The article I read this week was a short APTN article, ‘The spirit of the medicine will lead us back’: How Avis O’Brien is guiding Elders to weave their first cedar hats. The article talks about how O’Brien used to feel shame about her identity, but when she started working with cedar, things began to change for her. “O’Brien says working with the healing power of cedar, the shame began to lift, and she became open to her cultural practices.” She is passing on her healing by teaching others from her community (particularly elders) to work with cedar as well. 

All cultures have traditional ways of creating and making. This week I was inspired by the Close at Hand video about the only rope walk in use in Norway today. My ancestors are from Norway and so I leaned in a little more to that video, watching the scenery and taking in the process of creating the rope. 

The many viewings and readings this week had me thinking about maker spaces in our schools. These spaces are often filled with lots of bright, shiny, plastic materials. I wonder how we can change the way students view these spaces – or activities, even in our own classrooms. How would our students learning/views change if instead of using collections of things found inside and purchased from a store, we bring natural materials into maker spaces, learning from the land, rather than all the shiny plastic materials. Even better, what if we had the maker spaces outside? If we do use human-made materials, can we present upcycling as a legitimate way of living and using materials, rather than a kind of ‘pretend thing’ we do at school? This has given me new thoughts on maker spaces and new possibilities for how to take math outdoors, using natural, foraged fibres from the land. 

I did the making rope activity this week. I cut down some tall plants and brought them home, only to realize that I had not brought the right kind of plants. They were strawy and brittle and broke as soon as I tried to twist them. So, after walking around unsuccessfully looking for appropriate natural fibres outside, I went to my junk drawer… you know the one that we all have. I was going to use some old ribbons that I had saved, and when I lifted the ribbons out, underneath, I found some straw-type material, I’m not exactly sure what it is, but I used that to make my rope. I followed along with the video, 'The art and geometry of rope making and yarn plying'. At first I started by following the directions as I was seeing them. When Susan said that she was using her right hand, I was using my left. I quickly realized that this was difficult for me, so I undid what I had started. I had to sit facing the same way as Susan was in the video (my screen beside me) to follow what she was doing (initially I tried to translate the movements without changing my position, but I was struggling with transforming the moves). I was also having trouble keeping up with the pace of the video. I slowed the speed of the video down to 50%, then I was able to keep up with the movements and I had a few good chuckles too, as Susan’s slowed down voice sounded… mesmerizing (you should check it out!).

Foraged Fibres

Junk Draw

Rope

As I was making the rope, I was thinking how much my students would love to do this, especially if we started by harvesting fibres from the land and then using them to create a real rope. We could start by looking for the proper type of grass or plant from the land around our school. I know that this activity would create a deeper connection for students with the land. I’m not totally sure about the mathematics we would pull out but for grade one students, we could definitely bring in measurement of our initial plant material (leaves or grass length) and compare it to the length of the final rope. We could consider the pattern of movements in making the rope(i.e. twist, twist, twist, twist, cross over – as Susan says in her video). We could test the weight that the ropes are able to hold (as in one of the ‘how to make a rope videos’), we can look at the curves in the rope, and count the numbers of turns, Doing these activities would broaden students understanding of what mathematics is and how connected mathematics is to everything we do. 

I found the viewings, activities and readings this week inspiring. I do wonder about Sharon Kallis’s ability to take the time to make her own clothing from plants. I admire her using her skills to combat fast fashion but it feels like she is coming from a privileged position to have the time, ability etc. to be able to do this. Although… she did say her nettle shirt was 12 years in the making! That’s perseverance! I was amazed by the video on Weaving the Bridge at Q’eswachaka – the history, practicality, craftsmanship, community connection and cyclical nature of making this bridge were inspiring. It is amazing what people can accomplish when we work together. 

Since this is our last post for this class, the question I have is, "what are one or two things that you have learned or experienced in this course that you will explore more deeply and/or apply in your current practice?"


9 comments:

  1. Afternoon Joy,

    It was just announce this past week, how secondary students in the 2023-2024 school year will be required to complete an Indigenous focus coursework for graduation. Education Minister Whiteside and First Nation Education Steering Committee president Tyrone McNeil addressed the importance for students to deepen their understanding with Indigenous culture, people, practices and views as a step towards Truth and Reconciliation within our education system. The announcement reminded me of what you wrote in your reflection regarding the differences between Colonial and Indigenous worldviews. I am not familiar with the developed Indigenous 4-credit courses at the secondary level, but I am now interested to learn what the curriculum looks like.
    I have responded to Sandra's post regarding my views with the Avis O'Brien article, so go check it out there.
    My main take away from the EDCP 553 course, was the fact that this course forced me to create my own "maker space" in my math class environment, where I was able to trial out the various embodied math activities with my students and seeing how it can be blended with current teaching practice. Because we are required to do this for our course, we are making the time, the effort, to see the affects and the change it has made on how our students enjoy, embody and learn the math. Not only that, it made me reflect on my practice at how programmed I am within the constraints of the curriculum by the ministry, demands from the school and parents, expectations from the math department, the parents, and the students. Lucky for me, my students were happy to try something new, working with me as their teacher, not knowing the outcomes, to see if the activities and tasks embodying the math through doing, playing, and creating was something they would like to see more in the math class. But I know for sure, that my mind has expanded from this course and the narrow perspective is now broaden.

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    1. What a great synopsis of your take aways from this course, April. I had a similar experience, even though I am no longer in the classroom, I ‘borrowed’ my previous class from the new teacher on a few occasions to try out activities. I would tell them that since I am also in school, I wanted to try something out with them and then they could tell me what they thought of the activity/learning when we were done. I think this provided some intrigue for students who were interested to try out different activities knowing they could give me some feedback at the end.

      Creating your own makerspace in your classroom is a great way to sum up the opportunities this course presented to us. I look forward to continuing to wrestle with the ideas of embodiment in mathematics and the power and potential of taking mathematics outdoors with students and colleagues.

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  2. Hello Joy,
    I found your posting very informative. Thank you for sharing your thoughts about how some of us are a combination of the worldview of capitalism. I remember when my son was between 3-6 years old, we spent a lot of money buying plastic toys for his birthday parties. Now, I feel guilty of how much we waste. However, as April mentioned in her post. We are changing behaviors. We are reducing the use of plastic bags and plastic straws for example. Classes like EDCP 553 helps us to be conscious of our behaviors and help students understand their role in society.
    I understand how you liked the video Close at Hand from Norway, it relates to your ancestors. It happened the same for me. The video Weaving the Bridge at Q’eswachaka brought great memories from my family. Peru is the neighboring country of my country Colombia. My great grandparents lived in regions very similar to the ones shown in the video.

    You wrote: “Since this is our last post for this class, the question I have is, "what are one or two things that you have learned or experienced in this course that you will explore more deeply and/or apply in your current practice?"
    I can’t believe this is the last post! I am feeling I have more to explore about all the topics from this class. Each topic can take a complete course to work on.
    I feel I would like to get closer to my family and learn more about their way of living. They were very simple and living with what nature was giving to them. When you move to another region or country, you feel the pressure of adopting another way of living and you have to do it so you can fit in the new environment. For example, people who live on a farm and move to the city, they have to adopt other ways of living.
    One more thing I would like to continue learning is to use storytelling in mathematics to work with older adults and seniors. There are great stories and experiences that all of us can learn from them.

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    1. Two huge things to take away from the course, Lida - getting closer to your family and your roots and storytelling in mathematics.

      I have appreciated all the times you share about your family (still remember how cute your sister was in the video) and the perspectives you bring, particularly having immigrated to Canada. It is so important that we share stories about our lives, about who we are and about our hopes for the future. I think asking seniors (well, anyone really) to tell their stories allows us not only to learn from them, but also honours their experiences and who they are. We are our stories... thanks for sharing yours.

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    2. thank you Joy.
      I feel so fortunate to have the opportunity to be in these classes learning from all of you.
      Is is great how much I have learned during this program.

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  3. Hi Joy!

    I have Norwegian ancestry, too – my dad’s mom’s side of the family. I’ve never been to Norway, though. My sister did her Masters coursework there but she came home before my other sister and I could visit her (decided to do her thesis from Canada – then didn’t do it). I’ll go someday! I connected with the Closing by Hand video partly because of the connection to my ancestry, like you did.

    I really like how you expressed so many ideas for work with students around rope making. You first said you weren’t so sure about the mathematics and then went on to list quite a few activities. It would be interesting to have students explore and play and see what they come up with, too. I think I mentioned in my response to Carol on my blog the idea of “notice, name, nurture.” Jen W and I talked quite a bit about this, too, in Cynthia’s first course – how we, as teachers, can be responsive to the math the students want to explore. Students may not be aware of the mathematics but in allowing for exploration with materials, we can listen for what mathematics is coming out through the students’ engagement and language. Then we can name what that mathematics is and nurture it further through some more structured or guided activities. For me, this is where my confidence lacks a bit – will I notice the mathematics that is being used? I am good at being flexible in my planning (I don’t know what I would have done if an administrator ever asked for my year plan or even a week-plan and checked if I stuck to the plan) so I know I could confidently take things where they needed to go and track against the curriculum. However, can I be responsive in the moment? Over the course of this whole Masters program, I have definitely grown in this regard. I am also finding that since I get to go into classrooms now as a district teacher for math and have more time to really sit with students in small groups while the teacher is still in charge of the whole class, I can get a deeper look into the mathematical thinking that emerges in activities and games. I think your list is an amazing start to what could be explored and I am sure more mathematics would come to life as the students and you work with the rope.

    I connect to your discussion about maker-spaces, too. I think it was in Cynthia’s last course that Jen B, others, and myself had a discussion board chat going about the environmental impact of school activities and how we need to model taking care of the earth in our practice, being thoughtful about the materials we use. I talked about the story workshop kits our literacy team put together, one for each elementary school, that are full of plastic dollar-store paraphernalia. I am guilty of plastic stuff in my math kits, too (though I defend it as I only made 6 that get leant out for a bit of time so I know they will be used and returned and reused – but I am trying to be more mindful of what I purchase and from where). I like your idea of moving the maker spaces outside! I guess then there needs to be some teaching around respectful harvesting (as in Braiding Sweetgrass by Robin Wall Kimmerer) and how things can be returned to the land. With regard upcycling, I always struggle a bit in my thinking around this. Sometimes things are better recycled rather than upcycled because the upcycling can make it so the new product can’t be recycled. So, again, careful consideration of the materials and how they are upcycled is warranted. I thought of tearing up some old jeans I have in my scrap fabric pile for the rope making activity this week. But then what? I’ll have a denim rope with no purpose and no longer have useable pieces of denim for another upcycle project (I am thinking of some sort of denim patch-work shopping bag). Your thoughts on maker spaces gave me lots of food for thought, for sure! Your writing and thoughts connect me to the EartHand Gleaners "motto" of being makers without first being consumers (in the Vested Interest video).

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    1. P.S. - Didn’t you find the LMMC meeting when one of our colleagues shared her experience with beading connected so well to our coursework this week? I know you were taking the meeting in from your car but I hope you got the gist of the presentation. I love it when my work and my coursework collide like that!

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    2. Absolutely! Rebekaah's beading unit was so good... exactly the kind of thing we've been talking about.

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  4. Thank you Joy for a thoughtful post and the group for a great discussion. I appreciate the reflection on the colonial worldviews and the Indigenous worldviews. Also, excellent point about the shiny, plastic materials in maker spaces. We often are not as mindful of the environmental impact when finding materials for hands-on activities, but hopefully things improve as more of us become aware of the issue. I agree that creating your own maker space in your classrooms that incorporates embodied mathematics activities from this course is a great idea!

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