Social Justice and Mathematics: A time for renewed implementation? ISSUES IN MATHEMATICS EDUCATION and I wonder if as mathematics teachers it is something to explore. Social justice and mathematics Social Justice and Mathematics: A time for renewed implementation? BY SEAN CHORNEY I don’t typically embrace contemporary pop culture, yet once in a while I can’t help myself. When I first stumbled across ‘Last Week with John Oliver’, I was initially drawn to the social sensibility he was delivering. In many episodes he gives voice to the down trodden and directs criticism toward the apparent cause. While his rationale was frequently oversimplified, he was at least addressing important issues. As I watched more episodes, to my surprise, I noticed that he commonly identified social problems with a mathematical approach. And, although I’m not advocating for the watching of a weekly HBO show (but I do recommend it), I’m more interested in the fact that this reasonably popular show draws on mathematics to highlight social injustice. The combination of social justice issues and mathematics prompted me to introduce a social justice assignment in a mathematics methods class at Simon Fraser University (SFU) this past summer. Not wanting to impose my own interests in the assignment, I offered the social justice assignment as a choice amongst two other options. Somewhat surprisingly 23 out of 29 students chose the social justice assignment. This number could possibly be a result of how I introduced or talked about the assignment or even a dislike of the alternate assignments, yet it seems that the social justice assignment interested these students, and they were clearly not avoiding it. The popularity of ‘Last Week with John Oliver’ shows a general interest in dealing with social justice issues. Are students, and people in general, more willing to talk about the challenges in our society, the grave injustices that seem (at least according to John Oliver) all around us, and if so, should that inspire us as mathematics teachers and educators to act? Could it be time to remind ourselves of the possibilities of what we can do with mathematics and draw upon some serious world issues that affect us directly or indirectly? In either case, issues of relevance should not be ignored. Social justice exists in the collective consciousness, Combining social justice and mathematics is not new. Throughout the 20th century, and more emergent in the later half, along with the development of the field of sociology, mathematics has often been a way of identifying injustices of various forms from the number of people living in poverty to government spending on nuclear arms. In fact, evidence suggests that mathematics is the most relevant and powerful way to address issues of social justice (Garii & Appova). However, this is not formally addressed in curriculum or textbooks, at least not explicitly, partly due to the challenge that social issues change continuously while textbooks and curriculum not so much. Many come to the implicit conclusion: math is apolitical and neutral. But this is not so as was indicated to me many years ago while teaching a grade 11 class. While teaching a lesson on maximum/minimum problems, my class had discussed the problem of maximizing the profit in a theatre. Although I don’t remember the details of the problem, the question hasn’t changed much from current presentations in textbooks or online max/min questions. It went something like this: a theatre with 1000 seats can be filled if the tickets are $12 but for every increase of $0.25 the theatre will lose 5 attendees. After solving the problem with the class I had started to think about the next activity when a student asked about the purpose of the question. If, for example, as she suggested, the goal was to fill the theatre so that as many people as possible could see the show then the price should remain at $12. Although the question was worded such that it implied an economic perspective asking for the maximum profit, by not addressing other considerations, it can be argued that some students will come to see that an economic perspective may be the only perspective. This was a profound lesson for me. I realized that although this type of question has existed for a long time, and I had used it many times before, there is an implicit message conveyed that mathematics focuses solely on economic efficiency. I do not discount the importance of mathematics to inform such a perspective, yet I believe it important to consider that this is one of many lenses with which we can attend to problems. While efficiency might be helpful at times, alternate perspectives are important to discuss and possibly implement if more appropriate. For example, filling the theatre could be more economically efficient. Although it will lead to a more complex mathematical model, if the show is good and showing for more than one night, filling the theatre may be more economically efficient because there will be more people to spread the news that the show is worth seeing. This particular lesson of mine is about the exclusion of people based on a ticket price; it is a social justice issue that matters. In this case, it’s not only about filling the seats of a theatre, it is also about seeing a mathematics problem from different perspectives. Vector • Fall 2015 9 Resources Once John Oliver had reminded me of the significance mathematics can have to illuminate social issues, a quick survey of mathematics and social justice in the library drew Rethinking Mathematics to my attention. In my reading and researching this summer, this was one resource that stood out. I share it here because it is in book format as well as hosted by a website. While the book may not be quickly accessible to all its corresponding website is. (radicalmath.org) I do apologize for only referencing American resources, if I am missing some Canadian materials I ask the reader to let me know or to contribute their own piece to Vector. Ultimately this article is in exploration phase, and in no way exhaustive, please send resources our way. What is social justice? There is no consensus as to what social justice is. However, one might identify social justice as the issues surrounding equity, privilege and/or power relations, particularly when one group benefits significantly and dominates another. The current issue of payday loans exemplifies this definition. A May 15th article in the Globe and Mail (still currently online and available, see references for web address) addressed some factors of payday loans, one of which identified annual interest rates in some provinces to be as high as 60%. I thought credit cards were bad. The issue is not to avoid payday loans, but rather that if a payday loan was required, why should the borrower be penalized to such an extent, particularly if they are living below the poverty line and not able to move out of their low paying job. Whatever the case might be, why is the interest rate 60% and not a little more reasonable? I would suggest this is an issue of social justice because typically those who use payday loans are not given a voice and there are no advocates. Additionally, payday loan providers may argue that they provide a service with high financial risk. While a fair argument, it does not take away from the fact that lowincome workers are placed in a position of making ongoing payments to a short-term loan. Although issues are never that simple, there is undoubtedly an aspect of the privileged taking opportunity of the disadvantaged. The mathematics of 60% interest compounded can be a very revealing lesson for students. In this case social justice is not simply about making mathematics more relevant; it is about using our discipline to reveal prevalent inequity and injustice. It is a step beyond showing graphs that misrepresent and asking why or how certain graphs can mislead but also the bigger story as to why a company might want to misrepresent data. Classroom implementation Implementing social justice issues in a mathematics class can be categorized in two ways: social justice as content or social justice as context. As content, a social justice approach will be similar to a mathematical application. Once some mathematics is taught, 10 the concept can be implemented in a situation. For example, the class might learn about proportions and then look for ways to confirm that proportions are useful. To use a social justice topic, you could ask students to find the average rental price of a home in Vancouver and in an arbitrary city, Calgary, say, and then find the ratio rental price and value of the home. We might find that relative to house prices rent in Vancouver is quite low compared to Calgary. Why is this so? Social justice in context is when mathematics is not taught first but the social justice issue is addressed through discussion. For example, a social situation is explored, and there is an attempt to understand, define and model the problem. After discussing the social issue the mathematics emerges from the ideas of the students in terms of what they would like to explore. The difference between these two approaches is profound. Using social justice as content is an attempt to make mathematics seem relevant while using social justice as context the mathematics emerges from conversation and is intricately connected to the students’ construction of a model of the situation. New curriculum While there is no specific social justice ‘content’ in the new curriculum, there is ample support for it in the expressions of the core competencies. The core competencies include critical thinking and personal and social responsibility, each tie intricately with the integration of the social issues of the times with one’s own personal stance and perspective. This new curriculum shifts from the notion of knowledge acquisition to the consideration of being a social being integrated and connected with a community. We do not act alone; we affect others by the choices we make. With this in mind, the way that mathematics is taught is no longer apolitical but has significant ramifications to oneself, one’s family and one’s community. In whatever capacity, mathematics is meaningful because the connections to ‘new understandings’ in new contexts, in social justice contexts, are part of the curriculum. As the social responsibility competency elaborates in the new curriculum draft, students are to “contribute positively to one’s family, community, society and the environment, to resolve problems peacefully; to empathize with others and appreciate their perspectives” (BC Ministry of Education). As teachers in BC, we find ourselves with a lot of autonomy and thus have the potential to draw on issues to develop new lenses (both mathematical and social) to see the world. There is no one-to-one correspondence between world issues and mathematics. It is in no way an ideal partnership. If anything it may be a messy and challenging endeavor. But while the difficulty of dealing with this marriage of mathematics and social justice is difficult, the integration allows students to engage in talking, in questioning and in expressing an agency towards something that might have profound meaning. In this way, the neutrality of mathematics Vector • Fall 2015 is challenged because it is not about mathematics ‘fitting’ easily into a problematic context but being integrated in a discussion where not all intelligent perspectives will agree. ‘IN’ our own classrooms On a more personal level, social justice can take the form of an approach that also values the sense of equity within our own classrooms. Social justice does not have to be confined to issues in the news. They can be issues within the walls of our classrooms. For example, if social justice is seen to be about equity, we might ask ourselves whether we are giving equal access to learning opportunities to all our students. Are we giving students ample opportunities to provide evidence of their learning? Are we using grades as a gatekeeper for their future opportunities? Does everyone have access to technology? Does our practice provide equitable access to successful outcomes? While the answers to these questions are never ideal, the purpose of social justice is less about fixing problems than it is about discussing them. This is a bit of relief. It means that social justice is not about knowing everything there is to know about a subject and then to introduce it; teaching social justice is not about answers but about differing perspectives and opportunities. It is about noticing things around us with different frames of reference. It is a model by which to organize our classrooms. So in the case of raising the minimum wage to $15/hour, questions are really the most important approach to the issue. While one may think that an increase in wage will help low income workers provide for their families, one should question whether this change will have any negative repercussions? Mathematics in this case might reveal certain issues but is clearly not going to provide an answer. While mathematics might reveal the high cost of having an unpaid Visa bill, it will not provide a solution to debt. The idea of social justice in mathematics is not a pathway to successful mathematics teaching. Students may still ask, “Why are we learning this stuff?” but it is an opportunity that I feel is in the air. There is a consciousness of care and concern developing in our midst, and as educators, we have an opportunity to align our subject matter with these sensibilities. With the support of our curriculum and supporting resources, the time abounds with opportunities to provide alternative perspectives to our students for their own education and learning. It is only just. Through awareness and action, by eliciting the voices of ones that are often kept silent and providing a connection between mathematics and some of the issues that affect our students’ own lives, injustice can be alleviated. Vector welcomes any articles, lesson plans and commentaries of the inclusion of social justice in mathematics. Please forward your pieces to the editors. References BC Ministry of Education. Transforming curriculum and assessment. www.curriculum.gov.bc.ca Garii, B. & Appova, A. (2012). Crossing the great divide: Teacher candidates, mathematics, and social justice. Teaching and Teacher Education: 34 (198-213). Grant, T. & McFarland, J. Payday loans: Predatory loan sharks or crucial fix in a pinch? www.theglobeandmail.com/reporton-business/payday-loans-predatory-loan-sharks-or-crucialfix-in-a-pinch/article24463029/ Gutstein, E. & Peterson, B. (2006). Rethinking Mathematics: Teaching social justice by the numbers. Rethinking schools, Ltd. Website: www.radicalmath.org V