Contextualizing Gaps in our Understanding of Professional Learning Communities’ (PLCs) Unique Features

Summary of SyMETRI Meeting: June 24th, 2024 by Qiaochu Xu
Presenter/Guest Speaker: Shahidul Islam from Department of Curriculum and Pedagogy, University of British Columbia
Date: June 24th, 2024
Host: Dr. Cynthia Nicol

At the SyMETRI meeting on June 24th, 2024, Shahidul Islam shared with us about his master’s research which endeavoured to contextualize gaps in our understanding of Professional Learning Communities’ (PLCs) unique features. His study focuses on secondary science teachers in British Columbia and Bangladesh, examining key PLC features, their impact on Knowledge for teaching (K4T) growth, challenges faced by teachers, and how PLCs help address these challenges.

His study employed an explanatory sequential mixed-method design, starting with a survey of 100 participants (50 per region) through purposive sampling, followed by semi-structured interviews with 10 participants (5 per region) using convenience sampling. Data analysis included descriptive statistics for quantitative data and thematic analysis for qualitative insights.

Shahidul shared varying degrees of responses to the salient PLC features in both regions. Bangladeshi teachers emphasize features like student focus, shared goals, reflective practices, fostering belonging, sharing resources, continuous improvement, open communication, and data-informed decision-making more than their counterparts in BC. However, British Columbian educators value collaborative problem-solving and mutual respect comparatively more than Bangladeshi educators. The biggest discrepancy is in distributed leadership skills, which are less valued in BC compared to BD. Both regions benefit from PLCs’ resource sharing, new teaching strategies, understanding of student needs, technology integration, self-reflection, and staying updated on educational trends for K4T growth.

On the other hand, Bangladeshi teachers face more challenges, such as lack of technology access, student readiness, pedagogical inertia, blending technology, designing assessments, and lack of support, while BC teachers moderately agree on these. Technical issues, limited knowledge, evolving technology, and lack of confidence are almost equally addressed in both regions. PLC participation helps overcome these challenges through networking, collaboration, technical assistance, affordable tech solutions, resource sharing, confidence building, and tailored instruction, enhancing teaching practices and embracing evolving pedagogies. By leveraging the benefits of PLCs, educators can enhance teaching practices, meet the needs of diverse learners, and embrace the rapidly evolving technology-enhanced pedagogies.

Here are some slides from his presentation:

Shahidul provided valuable insights from his research, highlighting key features of Professional Learning Communities (PLCs), their challenges, and how these vary between teachers in Bangladesh and British Columbia. His contributions shed light on potential strategies for designing and implementing effective PLCs for teachers moving forward. During the SyMETRI meetings, members engaged in thorough discussions about the data collection process, the recruitment of participants, and the methods of data analysis. The discussions also addressed strategies for overcoming the challenge of recruiting sufficient candidates for surveys. Further discussions focused on the best approaches to inviting participants for interviews, ensuring a diverse and representative sample that would enrich the research findings. These dialogues are instrumental in ensuring the robustness and reliability of our data collection and analysis processes.

Bio

Shahidul Islam is a MA student in the Department of Curriculum and Pedagogy here at UBC. Shahidul just defended his thesis June 13th. Congratulations Shahidul!

Problems with Purpose – Highlighting the connection between mathematics and our collective responsibility to Truth and Reconciliation

Summary of SyMETRI Meeting: June 10th, 2024 by Stéphanie La France
Presenter/Guest Speaker: Judith Koeller from Peace and Conflict Studies, University of Waterloo
Date: June 10th, 2024
Host: Dr. Cynthia Nicol

At the SyMETRI meeting on June 10th, 2024, Judith Koeller shared about her work at The Centre for Education in Mathematics and Computing (CEMC). The CEMC has had many conversations with teachers who are Indigenous, and teachers who teach in Indigenous communities about how the CEMC could support the calls of the Truth and Reconciliation Commission. Judith emphasised the importance of language noting that it is a vital part of culture, and that colonialism has and continues to contribute to language suppression. Similarly, math has an impact and a role to play which raises many issues and implications for Truth and Reconciliation in math education.

In planning for, designing and sharing the Problems with Purpose series, the CEMC wanted to focus on contextualizing mathematics problems in a way that highlighted our collective responsibility and aligned with the TRC Calls to Action. This meant collaborating with teachers and educators who identify as Indigenous to create two volumes of math problems. One theme that emerges and reemerges is that math lacks context much of the time and that a focus of math on the lived experience and day to day life from which math emerges. Through the process, the CEMC commissioned IndigiQueer Anishinaabe artist Bangishimo (they/them) to take photos from which math problems would be developed including a photo of Bird Safe Glass. Additionally, Dr. Ed Doolittle from First Nations University provided inspiration for a math problem centred around the Cree language.

In discussion about the presentation, Judith shared that a good math problem is open-ended with low floor-high ceiling, aligns with curriculum, includes accessible wording and includes information in both pictorial/diagrammatic and text form. She shared that one of the challenges is that as soon as you get a rich context the problem text often becomes too wordy. Additionally, writing and creating problems that honour Indigenous knowledges and avoids appropriation involves an ongoing process of learning, tweaking, and reflecting. The CEMC hopes to continue developing math problems for Grade 3-12 and lead enrichment and curriculum work in collaboration with volunteers. After this wonderful session about creating purposeful math problems, we are left inspired to contemplate: How do we create a meaningful story/hook in a problem? Why do/should we care about meaningful context in math problems? What is the emotional and lived connection that we might bring into the learning and doing of math?

Here are some photos of Judith’s presentation:

For more information, see the following resources:

CEMC Problems with Purpose website: https://cemc.uwaterloo.ca/resources/problems-with-purpose.php

IndigiQueer Artist Bangishimo’s website: https://www.bangishimo.ca

Video of Dr. Doolittle’s talk that inspired a math problem: https://www.youtube.com/watch?v=wZ-ctdoj_mM

Bio

Judith Koeller has been on faculty at Waterloo since 2003, before which she worked in the high tech industry for seven years. Along with teaching in the Math undergrad and Masters for Mathematics Teaching programs, she conducts workshops in Mathematics for high school students and teachers, across Canada and internationally. She is particularly interested in how math can make a difference in the world, and the implications of Math for peace.

Climate Change Education (CCE) and the Practice in Schools

Summary of SyMETRI Meeting: May 27th, 2024 by Stéphanie La France

Presenter/Guest Speaker: Dr. Travis Fuchs, Researcher in Residence and Science Teacher at Crofton House School and an Honorary Norham Fellow at the University of Oxford
Date: May 27th, 2024
Host: Dr. Cynthia Nicol

At the SyMETRI meeting on May 27th, 2024, Travis Fuchs shared his research on Climate Education (CE) and how he continues to engage with this work in his teaching and mentoring practice. Travis shared that recognizing climate change as an issue of our time, and more notably, acknowledging its critical effects and impacts, was the first step to the development of climate change education. He further noted that school policy and curricular standards reflect the acknowledged importance of sustainability, stewardship, and climate education which center around being good care takers—something that the xʷməθkʷəy̓əm (Musqueam) and Indigenous peoples of Canada have always done and continue to do.

CE and active stewardship emerge within practice in different ways. Travis investigated student perspectives, teachers’ perspectives, and climate education in practice to determine the state of climate education in BC, and specifically, at his school. He found that senior students perceived the climate crisis with complacence, apathy, frustration, and motivation. They wanted to see action but believed it to be unattainable. In comparison, junior students regarded the climate crisis with worry, sadness, guilt, motivation, and hope. When they see action, they feel positive, but they believe that not enough is being done at the school. In practice, he found that nearly 50% of teachers are engaging in climate education activities; however (and surprisingly), of the various subjects, science teachers engaged the least.

Given his research into the implementation of climate change activities in practice, Travis further explored possible reasons why teachers may not be engaging with CE. He found that when CE was in action, it was done well but that generally, it was not engaged with enough. He found that teachers felt ill-prepared and lacked self-efficacy in implementing CE principles despite their alignment with curriculum. This has led him to wonder: How do we become more prepared? Travis inspired us all to contemplate how we might further support pre-service and in-practice teachers so that CE becomes more prevalent in schools. He shared the following resources with us:

Government of Canada: Toward a National Framework for Environmental Learning: Discussion Paper

Student-led campaign: Reform to Transform

Here are some photos of Travis’ presentation:

Bio

Travis T. Fuchs received his PhD in Curriculum Studies from the Faculty of Education at UBC. He is Researcher in Residence and Science Teacher at Crofton House School and an Honorary Norham Fellow at the University of Oxford. His current projects include teachers’ engagement in and with research as forms of professional development, teacher climate change education, expanding teacher recruitment pipelines, and instructional approaches which leverage socioscientific issues in science learning contexts.

Aestheticizing Mathematics and a Novice Research Method

Summary of SyMETRI Meeting: May 6th, 2024 by Qiaochu Xu

Presenter/Guest Speaker: Dr. Canan Gunes from the Department of Curriculum and Pedagogy, Faculty of Education, UBC
Date: May 6th, 2024
Host: Dr. Cynthia Nicol

Postdoctoral fellow Canan Gunes presented her recent study exploring how an expanded understanding of the senses matters to mathematics education research. Canan introduced the notion of aestheticizing mathematics and a novice research method designed to investigate the mathematical sensorium.

Multiplicative thinking involves understanding mathematical concepts through different representations. For example, many-to-one correspondence can be illustrated by plates and apples, where one plate with two apples, multiplied by four plates, results in eight apples (Vergnaud, 1988). Similarly, two unit counts demonstrate that 4 x 2 equals 8 (Davydov, 1992). In exploring these concepts, the various tonalities of bodily movements likely form part of subconscious sensations, which help develop meanings of multiplication.

Re-enactment assists in capturing these tonalities, leading educators to consider asking students, “What are you feeling?” instead of only “What are you thinking?” Re-enactment as a research method can provide material and methods for ensemble learning, as demonstrated in large-scale dance performances where mathematical concepts are enacted (Vogelstein et al., 2019). Additionally, aestheticizing multiplication explores how senses are mobilized in the process of understanding mathematics, prompting researchers to question how we sense the sensing. This is particularly relevant in research questions examining how multiplicative thinking emerges with tools like TouchTimes.

Here are some slides from Canan’s Presentation:

Bio

Dr. Canan Gunes currently serves as a postdoctoral fellow in the Department of Mathematics Education at Simon Fraser University and as a sessional instructor in the Department of Curriculum and Pedagogy at the University of British Columbia. Her background includes a Ph.D. degree in Mathematics Education from Simon Fraser University and a Master’s degree in Primary Education from Bosphorus University. Before her Master’s studies, she taught mathematics at the elementary and middle school levels in Istanbul, Turkey. Her research focuses on teacher learning and noticing, the integration of digital technologies in math education, and the influence of language on the teaching and learning of mathematics.

 

What Even is Math?

Summary of SyMETRI Meeting: April 22nd, 2024 by Qiaochu Xu

Presenter/Guest Speaker: Danielle Antoniazzi from the Department of Curriculum and Pedagogy, Faculty of Education, UBC
Date: April 22nd, 2024
Host: Dr. Cynthia Nicol

At the SyMETRI meeting on April 22nd, 2024, master’s student Danielle Antoniazzi presented her capstone project, “What Even is Math?”, which investigates middle school students’ perceptions of mathematics and their perceptions of mathematics learning when participating in collaborative, cross-curricular projects. The presentation provided some context for her capstone project, then review the methodologies and key findings of her research.

At Danielle’s school, there is a noticeable gender disparity in enrollment for certain STEM classes. In the Chemistry class, the student body comprises 5 female students and 6 male students, suggesting a relatively balanced gender distribution. However, the Pre-calculus 12 class presents a stark contrast, with no female students and all 6 spots occupied by male students. This significant difference highlights potential gender-based preferences or barriers within the school’s STEM curriculum, necessitating Danielle’s further investigation and action to encourage more balanced participation.

Key findings of Danielle’s capstone indicate that both female and male students hold a limited view of mathematics. Female students demonstrate lower confidence, interest, and persistence, along with less expert-like attitudes towards mathematics.

Here are some slides from her presentation:

Members of SyMETRI discussed their experiences learning and teaching mathematics at the high school level. They noted that their confidence, mindset, and interest shifted as courses became more challenging. Questions were also raised about how the results compare with existing literature, and what modifications Danielle would consider if she were to implement the study again in a single-gender school.

Bio

Danielle Antoniazzi is a MEd student in the Department of Curriculum & Pedagogy in the Faculty of Education at UBC. Her interests include promoting gender equity in STEM and math education. She is the senior math and science teacher at Kamloops Christian School.

Working on the Ethical Approval (RISe) for Capstone Project-Counting on Experience: Exploring Mathematics Utilization in the Lives of Older Adults

Summary of SyMETRI Meeting: April 8th, 2024 by Qiaochu Xu

Presenter/Guest Speaker: Lida Espinosa from the Department of Curriculum and Pedagogy, Faculty of Education, UBC
Date: April 8th, 2024
Host: Dr. Cynthia Nicol

At the SyMETRI meeting on April 8th, 2024, master’s student Lida Espinosa shared her experiences as a mature student and discussed the rewarding yet challenging aspects of working on a capstone project that requires ethical approval. Lida shared her experiences and offered some tips for students who will need to obtain ethical approval (BREB) for their studies. Currently, the project is in the initial stage of submitting the RISE application.

Her project is titled “Counting on Experience: Exploring Mathematics Utilization in the Lives of Older Adults.” For this project, Lida intends to gather stories from adults over the age of 65 about their relationship with mathematics and how they utilize it in their daily tasks. She is curious to discover whether these individuals actively avoid engaging with mathematics, view it as unnecessary, or if their attitudes towards mathematics deter them from exploring math-related topics.

Here are some slides from Lida’s presentation:

During the SyMETRI meeting, members participated in an engaging discussion about alternative terms for referring to the demographic group targeted in Lida’s project. Suggestions included “mature adults,” “elders,” and simply “people over age 65.” Another suggestion was to describe them as “people born before 1960,” which emphasizes the subtle differences between these terms.

Bio:

Lida serves as a Senior Learning Consultant at a software company in Vancouver, BC, Canada, where she oversees the development of training courses in a multicultural environment. She is currently pursuing an MEd in Mathematics Education. Previously, while living in Colombia, South America, she taught mathematics to high school students. When not working or studying, she enjoys spending time with her son and husband. Their favorite activities include walking, going to the beach, sleeping, and watching movies.

How has Lesson Study Research Improved Instruction? A Literature Review on Lesson Study in Mathematics

Summary of SyMETRI Meeting: January 22nd, 2024 by Qiaochu Xu

Presenter/Guest Speaker: Ariane Faria dos Santos from Department of Curriculum and Pedagogy, Faculty of Education, UBC
Date: January 22nd, 2024
Host: Dr. Cynthia Nicol

In the SyMETRI meeting on January 22nd, 2024, PhD student Ariane Faria dos Santos presented ideas for her paper, which was accepted for presentation at AERA (American Educational Research Association) in Philadelphia, April 2024. It’s very exciting that Ariane’s paper has been accepted to AERA, a premier international conference.

Ariane’s paper is titled: “How has Lesson Study Research Improved Instruction? A Literature Review on Lesson Study in Mathematics.” Lesson study is a form of teacher professional development that originated in Japanese schools. Over the past few decades, the method has been adapted for use in Canadian and American schools. Ariane shared her findings of her literature review, exploring how lesson study has impacted teachers’ knowledge and beliefs, professional community, and teaching–learning resources.

Here are some slides from her presentation:

After the presentation, SyMETRI members raised questions about why certain papers were chosen from this journal. They also discussed the differences in the focus of findings of Lesson Study in different countries and how teaching-learning resources changed in lesson study for teachers and students before and after Covid. Additionally, SyMETRI members offered some suggestions for presentations at international conferences, contributing to a lively and informative discussion.

Bio

Ariane Faria dos Santos is a Ph.D. student at the University of British Columbia Department of Curriculum and Pedagogy. Her research interests include curriculum implementation and teaching practices to improve learning opportunities for students with different backgrounds. She particularly interested to understand how to better connect both micro (classroom/schools) and macro (policymakers) actors to design and implement more equitable curriculum policies.

SyMETRI Meeting with Dr. Tim Pelton and Dr. Leslee Francis-Pelton on ChatGPT and Education

Summary of SyMETRI Meeting: November 21, 2023 by Qiaochu Xu

Presenter/Guest Speaker: Dr. Tim Pelton, Associate Professor in Mathematics Education University of Victoria and Dr. Leslee Francis-Pelton Associate Professor in Mathematics Education at University of Victoria
Date: November 21st, 2023
Host: Dr. Cynthia Nicol

In the SyMETRI meeting on November 21st, 2023, Dr. Tim Pelton and Dr. Leslee Francis-Pelton from the University of Victoria captivated attendees with an in-depth exploration of ChatGPT-4’s application in math education.

This SyMETRI session offered an insightful examination of ChatGPT-4’s multifaceted role in the realm of math education. The audience gained access to a comprehensive analysis, encompassing the AI’s responsiveness to educational queries, its facilitation of academic writing, and its pivotal utility in graduate-level research pursuits.

The session’s highlight was a live interaction segment with ChatGPT. Attendees actively engaged in prompting the AI and observed its real-time responses—a captivating demonstration showcasing the AI’s practical capabilities within an educational context.

Moreover, the session fostered an interactive atmosphere, inviting the audience to contribute prompts for ChatGPT-4 and witness its immediate responses. During the meeting, SyMETRI members asked ChatGPT about the number of odd four-digit numbers without restrictions, and the AI provided an explanatory result. Discussions among SyMETRI members revolved around AI’s potential applications in diverse educational scenarios.

Dr. Pelton’s expertise in integrating technology into education shone through the session, offering attendees a glimpse into the exciting possibilities AI, particularly ChatGPT-4, presents in revolutionizing math education.

Here are some slides from the presentation:

Bio

Dr. Tim Pelton

Dr. Tim Pelton is an Associate Professor in Mathematics Education within the Curriculum and Instruction department of the University of Victoria. He teaches courses on elementary mathematics pedagogy and applications of technology in education. His research is primarily focused on theories, tools, and techniques that can be used to support these courses. Topics of interest include student response systems (selected or constructed), developing and evaluating apps to support learning of mathematical and scientific concepts, and developing essential fluencies. Applications of iPads in education to support learning – especially with respect to: exploring with manipulatives and visual models; confirming understanding through generation of learning objects, animations, and videos.

Dr. Leslee Francis-Pelton

Dr. Leslee Francis-Pelton is an Associate Professor in Mathematics Education from Curriculum and Instruction at the University of Victoria. She currently serves as the department Chair in the Department of Curriculum and Instruction, where she leads department initiatives at both the undergraduate and graduate level. Her personal professional activities include teaching courses on the teaching and learning of secondary school mathematics, mathematical processes, and mathematical problem-solving. Her research focuses on the use of various technologies and problem-based learning in mathematics (e.g., mobile devices, LEGO robotics).

 

Dear Citizen Math: How Math Class Can Inspire a More Rational and Respectful Society

Summary of SyMETRI Meeting: November 1, 2023 by Qiaochu Xu

Presenter/Guest Speaker: Mike Wong, Master’s Student from the Department of Curriculum and Pedagogy, Faculty of Education, UBC
Date: November 1st, 2023
Host: Dr. Cynthia Nicol

In the most recent SyMETRI meeting on November 1st, 2023, Mike Wong took center stage, shedding light on his work focused on cross-curricular numeracy.

Mike presented insightful findings regarding the use of cross-curricular numeracy strategies aimed at effectively engaging all students. His approach signifies a concerted effort to bridge numeracy gaps across various subjects, nurturing a more comprehensive understanding and practical application of mathematical concepts.

Furthermore, this meeting introduced a new dimension to SyMETRI gatherings—a book review segment. Mike inaugurated this feature by delivering a concise yet captivating review of Karim Ani’s intriguing book, “Dear Citizen Math: How Math Class Can Inspire a More Rational and Respectful Society,” published in 2021.

Dear Citizen Math” addresses fellow educators, offering a refreshing and motivating perspective on the role of math classes. It envisions these classes as platforms for discussing critical societal issues, spanning from healthcare reforms and global pandemics to misleading discounts and the rapid advancement of technology. Traditionally, students have viewed mathematics as a set of isolated skills and abstract concepts, seemingly detached from reality.

However, the book argues that math is a powerful tool for exploring and understanding the world around us. It emphasizes the pivotal role of math teachers, portraying them as influential figures in American democracy. These educators have the potential to spark a renewed commitment to logic and critical thinking, cultivating a more considerate and engaged citizenry.

Mike’s presentation ignited dynamic discussions among SyMETRI members, promoting discussion among the SyMETRI members of the essence of cross-disciplinary approaches and the potential impact of integrated numeracy on students’ overall learning experiences.

Bio:

Mike Wong is a passionate Master’s Student from the Department of Curriculum and Pedagogy, Faculty of Education, UBC. His dedication to enhancing student engagement through cross-curricular numeracy reflects his commitment to innovative pedagogical practices.

Market Math: Spotlighting Math and Technology in a Farmers’ Market

Summary of SyMETRI meeting May 31st, 2023 by Qiaochu Xu

Presenter/Guest Speaker: Christina Reis from the Department of Curriculum and Pedagogy, Faculty of Education, UBC
Date: May 31st, 2023
Host: Dr. Cynthia Nicol

In the SyMETRI meeting on May 31st, 2023,

Christina Reis shared her capstone project which is an amazing website called Market Math – it’s interdisciplinary and centred around a school farmer’s market. Her project explores teaching about a farmer’s market and integrating technology in education.

Christina began by answering why it’s important to teach about a farmer’s market and integrate technology. She explained that teaching about a farmer’s market offers a comprehensive educational approach that combines various subjects such as mathematics, agriculture, financial literacy, and nutritional awareness. By connecting students with real-world contexts and their local environments, they can actively engage with relevant content and gain a deeper understanding of mathematics. Moreover, incorporating technology into the farmer’s market experience, whether by using virtual platforms or augmented reality, presents exciting opportunities to streamline processes, empower local producers, and enrich the educational experience by blending traditional practices with innovative technological approaches.

Christina’s research is centred on investigating how technology, including simulations and technology-based platforms, can enrich and support each stage of Kolb’s Experiential Learning Cycle (ELC) in the setting of a Middle School farmers’ market. However, it is important for educators to be aware of potential challenges associated with technology, such as the need for proper training, the possibility of student distractions, and the potential for disconnection from the natural environment. By addressing these challenges, educators can effectively harness the power of technology to enhance the experiential learning process.

Christina’s project is based on Kolb’s Experiential Learning Theory (ELT) and the Experiential Learning Cycle (ELC). ELT emphasizes the importance of experience in knowledge formation and the learning process. ELT highlights the significance of experience in shaping and evolving knowledge, emphasizing the learning process and the role of practice. The Experiential Learning Cycle (ELC) comprises four essential components: concrete experience, reflective observation, abstract conceptualization, and active experimentation. These components enable hands-on learning experiences and facilitate the connection between theoretical concepts taught in the classroom and their real-world application.

As education continues to evolve, the integration of technology can enhance the various components of experiential learning and bridge the gap between theoretical knowledge and its practical implementation. Christina highlighted the blending of math and technology, and she has prepared a series of multiple lesson parts that will explore mathematical concepts in depth. Here are some examples from her website:

Budgeting and Financial Literacy

Series Duration:  4  Sessions  ||   Grade Level: 6-8

BIG IDEA: Understand how planning and estimating the raw ingredients of a product can minimize waste and unnecessary costs, therefore maximizing profit and revenue.

Garden Beds, Grids & Planting

Series Duration:  2  Sessions   ||   Grade Level: 5-6

BIG IDEA: Understanding there may be more than one solution possible but some may be more favourable depending on the parameters and limitations.

Beeswax Wraps

Series duration:  3  Sessions   ||   Grade Level: 6-8

BIG IDEA: Planning ahead and evaluating solutions are essential to maximizing raw materials and minimizing waste for product goods.

Wooden Board Nail String Art

Series duration:  2- 3  Sessions   ||   Grade Level: 6-8

BIG IDEA:  Significant and possibly challenging points and transitions in our personal stories can create a unique and beautiful piece when viewed from afar.

Here are some slides from her presentation:

Bio

Christina currently is the Coordinator of Educational Technology at Meadowridge School in Maple Ridge, BC. In past years, She taught MYP Math, Science, and DP Biology, and coached girls volleyball both in school and on club teams.