Math Teaching – Journey to the west: from Singapore to Canada

Should I take attendance for my large enrollment courses?

Today’s reflection stems from a comment I received in my recent SRI (Student Reflections on Instruction) at my current institution. The comment expressed how much the student appreciated all the iClicker activities that were built in as my weekly lecture sessions and they would really love to earn some credit while participating. They also expressed frustration due to how few responses there were in average.

Pedagogy Learning Science (PALS) Book Club

I started this book club in 2020 fall semester when I joined my current institution, hoping I could get to know people who are also passionate about teaching. We have read 7 books so far:

How Learning Works: Seven Research-Based Principles for Smart Teaching
Small Teaching Online: Applying Learning Science in Online Classes
Equity-Centered Trauma-Informed Education: Equity and Social Justice in Education
Reach Everyone, Teach Everyone: Universal Design for Learning in Higher Education
Design for How People Learn
Culturally responsive teaching and the brain: Promoting authentic engagement and rigor among culturally and linguistically diverse students
Distracted

Bye bye 2022 Fall semester

This is the very last week of 2022 fall semester so it’s a good time for me to do a short reflection about how it went. From the frequency of my posts in the past half a year, you can probably guess this is a very hectic semester for me. It’s my first semester going back to teach in-person since I joined the math department here in 2020 August. Many adjustments and way-finding (in literal sense) had to be done before I’m finally comfortable with equipment in lecture theatres, seating arrangements in smaller classrooms, the printer and scanning machines etc. I don’t know how other new hires survived their first semester. If you went through it, you know what I’m talking about.

Test wrapper

We are half-way into the semester and students from all three of my courses have taken at least one test by this point. In order for me to find out what they feel about the test, and the course in general, I sent out an anonymous survey a week after MATH2720 students received their test 1 score. This was done right before Wednesday’s lecture. A QR code was projected in front of the classroom. As students walked into the room, they can scan the code and still filling up the form. 41 responses were recorded so about half of the class took the survey. In Test 1, students were given about five minutes to talk with their peers right before they write the test paper and I’m curious to find out what they think about the activity. The purpose of the activity is mainly to alleviate stress. To many of these students, this is their very first in-person test since 2020 March.

First week: excitement in the air

This is my first week going back to teach fully in-person after joining my current department in Sep 2020. I had A LOT of worries before stepping into my classroom on Sep 7th: how will I walk from one class to the next one (in a different building) with only 15 minutes in-between? will students remember how to sit in a room and attend lectures? Will I be able to write on whiteboard/under document camera/on my computer screen fast enough? Do I have all the adapters to connect things? Will I be able to find the mic? Most importantly will we be able to connect?

Returning learner autonomy back to students: reflection of my French learning experience on Duolingo and what it means for course design

The term “learner autonomy” was first coined in 1981 by Henri Holec, the “father” of learner autonomy. Learner autonomy implies learners take charge of their learning. They have control of their learning and they are responsible for the decisions they make regarding their learning.

The most recent experience of me as a learner happens on a language learning platform Duolingo. I signed up to learn Korean and French in September 2020, hoping to learn both foreign languages during my spare time (I know I know. I was being extremely optimistic at that point. It turns out that I really don’t have much spare time working in higher education sector like all my other colleagues.) I’m solely responsible for my learning. There is no quiz/test/exam, just a daily reminder that I should practice for the day, and a lot of achievement badges if I do a good job of keeping up my work. Even though Duolingo keeps pushing the message about how research shows adding friends helps people learn better, so far the number of people on my friend list is 0. So how did it go after 18 months? I have mixed results to report. I dropped out from Korean lessons a long time ago because I simply don’t have the time to keep up with both if I want to make daily progress so I had to decide on which one to continue. This goes back to my motivation of why I want to learn both languages: for Korean it’s because I had some experience with it and I studied Intro to Korean when I was an undergraduate so the first few lessons on Duolingo were very easy but it became too difficult too soon. For French it’s because I want to be able to keep up with my kid who’s now in a French immersion school and I’d like to be able to read her daily one-sentence report (which is often written in French) everyday. It’s an easy call for me to drop Korean. My longest streak is 290 days, with a slightly shorter one disrupted by our summer camping trip last year. I earned 115227 XP so far and have learned almost 1000 words. I’m able to read simple words and sentences from my kid’s school reports and even able to have (very) short conversations with her teachers. I’m happy with my progress and have no plan of stopping. There is discouragement happening from time to time: my kid would mock my accent when I practice speaking, and I am still totally lost when I watch a French movie without English caption. But all in all, I’d say as a learner, I have learner autonomy in my French learning journey and it works well.

So what? As an educator, of course the next question I ask myself is how can I give my students learner autonomy? Could it even be given? When you examine how students are taught today, you’ll quickly notice there is not much room for them to exercise autonomy, sometimes not at all. They can’t decide when to attend classes because there is a timetable for each course they take; they can’t decide on what they learn because the course syllabus often lists out the topics covered for the course; they can’t decide on how to demonstrate their learning because tests and exams are usually planned and they have to take those to earn a grade. So we really can’t blame students too much if there isn’t enough internal motivation shown. Is it possible to give them some learner autonomy back? Yes! And I happily report that students attending my current MATH2150 class have some freedom regarding when/what/how they learn. They can also decide on how much they want to learn based on what goal they have in mind. The whole course has 22 learning objectives (LO) in total. To earn a specific letter grade by the end of the semester, they need to master a certain number of LOs. There is some flexibility in what they want to work on, and when they want to demonstrate their learning. All my lectures are recorded so if a student needs to be away due to any reasons, he/she can still catch up. Though they would miss in-class discussions and presentations from their peers which I think are the most valuable component of the course. If you want to know more details of how this course is run, take a look at my course syllabus. Each LO is tested multiple times throughout the semester in multiple formats(both written and oral tests are available). Students can opt to submit exercise solutions or compile a solution manual based on other’s submitted work using LaTeX. They can also use GreenCard to get extensions for their work when they deem necessary. No questions asked.

Do you believe your students should have more autonomy? What are your thoughts?

Course design reflection: community building, self-reflection and restructuring tutorials

It’s hard to believe we are in the 5th semester since the pandemic started in 2020 March. I’m still teaching online for this fall semester, and I’d like to take a few minutes to reflect on my course design choices this fall, and share with you what worked, and what didn’t so far.

My focus is still building a learning community that connects students with each other and with me. In the summer I experimented with Microsoft Teams platform and found it worked well so I decided to continue using it as the main channel for communication. This fall I’m more intentional when using Teams and am able to explore more functions that Teams offer. Class Notebook was made available a week before the semester started, together with the course syllabus. Students received the link to join Teams and once they are in, they will see 10 Channels listed in the course: General, Culture Box, Introduce Yourself, Math-Memes, Pre-lecture video Related Qs, PrepGuide Related Qs, StudyTips, and Test Related Qs, Textbook Related Qs and Tutorial Related Qs. I posted the first message in the channel “Introduce Yourself” and ended my self-introduction with a question. Whoever posted after me will answer my question first before introducing themselves, and they will end their post with another question. This channel became the first contact point where students get to know each other. If you want to do something similar, bear in mind that not all students are comfortable sharing information about themselves in a public space so make sure you give your students the choice of participating or not. Since we have regular weekly discussion activity planned, after the first week, 16 private channels were set to accommodate the discussion groups. When students were first sent to Zoom break-out rooms, they did an ice-breaker activity with their TA. We borrowed a lot of ideas from Equity Unbound: https://onehe.org/equity-unbound/ and there is deliberate effort for ongoing engagement on a weekly basis whenever students work in their group. Groups were finalized by week 3 and once the bound between group members has formed, they tend to work together not only during scheduled activity, but also after class. I changed the tutorial structure of this course accordingly. Every Friday there is one 50-minute lab session and one TA who facilitates it. Instead of asking the TA to run a synchronous session with all students, I asked each group to set up their own Zoom meeting and posted the links in a shared Excel file hosted on Teams. Then whenever a group needs help, they can message the TA and the TA will join them. This has been working well: students still have the sense of working in a small group setting and the TA gets to work closely with them. We are able to address common misunderstandings by posting a message to the whole class, and the TA is open to making short video clips to clarify common mistake he saw.

Even though we are only less than a month into the semester, I can tell the class has bounded well and the attendance has been very high. I usually have 90+ students attending synchronous sessions with me on Wed and Friday on Zoom, which has never happened in the past few semesters. Usually if I get half of the class, that’s considered well-attended. I hope we can continue this trend.

The only concern I have is I don’t know what exactly happens when students work in their groups. I won’t be able to monitor all 16 groups at the same time, though they do submit individual work after each group discussion and I can at least see whether authentic learning happened by looking at the work, and reading through their self-reflections. I made sure each submission has a self-reflection question at the end, and I have received a few messages from students about how much they appreciate it. It’s important to give students the space to pause and think about how they are learning and doing math, and I plan to keep the practice going forward.

How to design a compact summer course?

Disclaimer: This is my very first summer compact course in my whole teaching career, so read my course design ideas with a grain of salt.

When I knew that I will be teaching a compact summer course MATH2720, the first thing that came to my mind is how to help students stay on track, and have a high retention rate. This post will focus on what I tried in my course design to address this issue. Anecdotally, students tend to drop out of summer courses more often because of its tight schedule. Once a student falls behind, it’s almost impossible to catch up. I made sure the course materials all available to my class way ahead of time.

You can see the daily plan for the course in the Excel titled “2021S MATH2720 Daily Plan”. In a normal semester, I see no need to share such a detailed course map with the class since we have plenty of time to cover the content, and communicate with students. But in a compact course, even a minor miscommunication may lead to a student dropping out/failing the course, with little room to clarify it.

This Daily Plan serves two purposes: for those who do not plan to join me synchronously, they can pace their learning better since the whole course is available one week before the semester starts. It also helps everyone to understand the course structure better, and by making a clear list of all assessments in the last column with their deadlines, everyone can plan for the course better.

Activities and assignments are all hosted on UM Learn, the LMS we use in my home institution. When they are being set up, they are all linked to the course calendar automatically, which shows up on the course homepage once students log in. This also serves as a reminder to students so they know when to submit what on a weekly basis. The criteria for students to earn credit for these assessments is effort: in other words, as long as enough effort in shown in their submission, they get full credit. It’s okay for them to make mistakes. I got this idea from the general practice of ungrading. And I believe this choice also makes it easier for students to keep up. Once the stress of getting everything perfect is eliminated, they can focus more on understanding the topics. Having the space to make mistakes is also crucial because we all learn from our mistakes.

Another idea to help with managing deadlines is having flexibility. Each student has 3 Green cards they can use through out the semester: if they feel they can’t submit an assessment on time, they can simply inform me that they need to use a Green card, then the deadline will be extended. No question’s asked. I have this system in place since 2020 Fall and students really appreciate it. This is something that I will keep even after the pandemic, when we are back to campus.

So the big question is did all these ideas help with retention? It’s too early to tell, and I will come back and update this post once withdrawal deadline is here.

If you are curious about other aspects of my summer course, here’s a copy of the course syllabus.

One complaint I have is about the logistics of setting these up: there is no simple way to “bulk-edit/create” these almost identical assessments. I have to create them one-by-one in D2L, and manually set up the deadlines/submission view/link to gradebook etc. Each assessment involved 5-8 clicks which becomes annoying fast. When my TAs are marking students’ submissions, they run into another logistics nightmare: once they click on one submission, they have to download it to their local computer, read it, then key in a grade. The option of reading the files in D2L is not there, so the extra click->save becomes really tedious when you have a large class.

update (July 2021): the course ended on June 26th, and final grades have been submitted. Looking at student’s grades and comparing them with the past two semesters, I’m happy to share that the summer cohort actually did slightly better (which really surprised me). When I reflected on the possible reasons of why it happened, here’s a list of my speculations:

Many students took only this one course in summer so they can dedicate more time and effort to it.
Certain assessments are graded based on students’ effort, instead of correctness. This helped them learn the topics without stressing out too much.
Having bonus points: students can choose to submit solutions to learning activities on a weekly basis, which will contribute to their final grade as bonus marks. If they choose to not complete these, they still have the opportunity of earning 100% for the course.
Using Teams as our main communication channel: I’m able to answer students’ questions quickly, and having public channels means other students who have the same doubt can see my responses right away. I can also tag students if I think certain posts would help them.

I think I will keep the upgrading portion for future courses, and I will have another post that focuses on mastery-based grading soon.

So Student Evaluations arrived, what next?

My student evaluation forms arrived two weeks ago, and the emotions that accompany with these documents can have so many layers and overwhelming. Over the years, I learned to be at peace with them and here’s how I read the reports.

Usually there are a few sections in Student Feedback/Evaluation, and the first section is always a collection of likert scale questions. They vary from institution to institution (after teaching at 6 universities/colleges, trust me on this :), and here are a few typical examples. On a scale of 1 to 5, 1 = Not at all to 5 = A great deal,

I found the course intellectually stimulating so far.
The course is providing me with a deeper understanding of the subject matter.
The instructor is creating a course atmosphere that was conducive to my learning.
Course projects, assignments, tests, and/or exams are improving my understanding of the course material.
Course projects, assignments, tests, and/or exams are providing an opportunity for me to demonstrate an understanding of the course material.

I tend to focus on median results of these questions instead of mean, as we know mean value offers little information to the data when there are outliers, and I almost always see a response of 1 here or there. I learned to not feel personal, and at times I do question whether these questions are vague for students. Intellectually stimulating can mean totally different things for two students, and I’m not even sure how do you define a conducive course atmosphere.

Then comes the real gem: open ended questions. You may see “please comment on the overall quality of the instruction in this course”, “What did this instructor do to facilitate my learning within this course?”, or ” How might this instructor improve this course? “. These are the comments that I read really carefully and put a lot of thoughts on. It’s great to know what my students liked about my teaching, and what I can do differently next time. Again don’t take it personally, and I think we’ve all experienced reading two completely contradicting comments on the same copy of evaluation form. To entertain you, I’m sharing some comments that I received for the same class:

“The instructor’s explanation was not that much understandable.”

“It was well done. The prof used various methods such as powerpoints, the chalkboard, a live feed of a paper at the front of the room, as well as online modules to teach concepts.”

Professor Wang was an excellent instructor. Her teaching methods were very clear and concise. Outside the classroom, she was also very approachable and friendly.

You get the idea. Usually before I open my student evaluations, I find a quiet and comfortable place, get myself a hot cup of tea, and take a deep breath to embrace what’s coming.

however, I do have to admit that this year’s evaluation makes me tear up a little: students are so overwhelmingly supportive, understanding and appreciative. I have never received such detailed comments like

“The decision to have 2 tests every two weeks instead of midterms and a final exam was monumentally beneficial to my mental health. I felt like the pace at which the material was given was very good, and allowed me time to learn the material and practice at a steady pace. Out of all my online classes this semester, I feel like this course had the best transition to online learning. The video lectures were short and very instructive, furthermore, replacing the lecture times with Q and A sessions was a great idea. I could ask the instructor questions about course material without having to wait until the end of the week for student hours. Overall, I had an excellent experience in this class.”

” The instructor had a creative combination of asynchronous and synchronous learning that balanced out the difficulties of online learning. She did many practice problems and had multiple fair assessments to take the pressure off of online testing. She provided many resources and did not fill up our important study time with meaningless assignments. She shows great skill at adapting to online learning and I think more professors should take a note out of her book. She was very kind and compassionate throughout the course and it was a pleasure learning from her. I envy those who will take her class in person in the future as she is an excellent instructor and as well seems to be a wonderful individual. One of the UofM’s best math profs!

before, and they may just be enough for me to power through another challenging year ahead.

I have a folder titled “treasure” which is the collection of nice things students shared with me about my teaching. And these comments are definitely going there. It really helps me feel better at difficult times and you should start collecting if you haven’t done so.

Reflection on my 2020 fall course design

Reading Week is finally here. I can take a deep breath and slow down a bit.

I’d like to take this opportunity to reflect on and share what works from my 2020 fall semester teaching, and what improvements are needed. My focus has shifted to building a learning community since the pandemic started in 2020 March. I believe being able to connect with students and offering them the space and opportunity to work with each other is more important than content covered for a course. At this point I think almost all of us have realized it’s not realistic to cover as much as what we used to do. The challenges that come with online teaching are not trivial to overcome, and I’d like to invite everyone to ponder on the question of what matters the most to you when it comes to student’s learning experience. For me it’s community: an inclusive community where I can reach everyone and offer multiple ways for students to engage with each other and with the course content.

About a week before 2020 fall semester started, I posted a welcome message to my class and shared the course syllabus, textbook information and how to join the online discussion forum and the social annotation tool hypothes.is. The message included a short survey form which helps me understand my students’ learning needs. Granted it’s a lot of information for students to take on. To make it more inclusive, I also made an interactive H5P presentation.

This presentation covers all the information in the course syllabus, with a few short built-in videos: my self-introduction, video of how to annotate on the open textbook we use, and an overview of Piazza, the discussion forum that we will be using. Hyperlinks in this presentation will lead them to the sign-up pages so once they go over all the slides, they are ready to start the semester. I also posted a thread of “introducing yourself” on Piazza. I started the thread by introducing myself, and ended my post by asking a question so the next person who responds will start by answering that question. Everyone follows this format and within a few days, a majority of the class have introduced themselves. It is the very first post students post which gives them the opportunity to get used to posting, and to get to know each other.

Once semester started, students slowly took control of the discussion forum and hypothes.is: they are answering each other’s questions in a timely manner so all I need to do is to clarify some common misunderstandings. Part of my course assessment structure is called “community building action (CBA)”: whenever students contribute to the community’s learning, they earn a CBA point. The contribution mostly comes in the form of posts, questions and answers on the discussion forum and Hypothes.is. They earn CBA points while helping each other learn. By the end of the semester, all 120 students enrolled in Piazza and there are 827 total posts, 3482 total contributions, 229 instructor’s responses, 724 students’ responses and response time is 11 min in average. There are also many fantastic discussions happening on Hypothes.is. Making these platforms available for students not only help them learn, it also helps them gain a sense of belonging. Students can post anonymously so they don’ t need to feel embarrassed if they are asking a trivial question. The number of emails I received from this course is minimal thanks to the discussion forum which is a happy side-effect that I’m keen to keep.

Another element I introduced to my course is oral exam. We have 3 scheduled term tests, and if a student is not feeling well on the test day, or missed a test due to any personal reasons which they do not need to disclose to me, they can opt for an oral test instead. This option is also offered to those who took the test but felt they did not do as well as they expected. In total I ran 35 oral tests, for a class of 120 students. Having this option in place reduced students’ anxiety of test taking and makes the course more inclusive.

The last piece I want to mention is offering a variety of assessments in the course. For multivariable calculus, we have CBA, weekly check point (a set of MCQ/TF questions that students complete before each week’s synchronous lessons), assignments and tests. In the end-of-semester survey I conducted, students expressed the gratitude of having a variety of assessments in this course. In my other course, MATH 2030 Combinatorics, we have weekly quizzes and presentation. A student could make a short video of any topic that was covered in our course and post it on the discussion forum to earn some bonus points. 20 out of 46 students submitted videos and the whole class benefited from watching and learning from them.

To summarize, in order to build an inclusive learning community, start early to reach out to students, and be present, both during and after synchronous sessions, listen to students and offer multiple ways for them to demonstrate their learning.