“Teaching with Love and Dreams” —–Wenjing Liu
“Best instructor in UMB”
“I expected to get a C in the course at first, I got A- finally. Thank you for everything! I would have done very poorly in this class without you. Good luck with everything”
“Very responsive via Email, explain different types of problems, review questions to help prepare for exam, explain things in simple terms”
“Very dedicated to student learning”
“She was enthusiastic, funny and nice”
“She is the best…..” I told my husband to stop reading my students’ comments.
“Your students always love you and your class, you are really a great teacher.” my husband said looking at me.
“Of course! If I am mute, I can still teach well.” I said to him happily, proud of myself.
“I believe that! what is your secret to be a great teacher?”
“Good question! You will know the answer in minutes.”
This is my dialogue with my husband. Here I also want to share the secret with you about how to be a great teacher. First, you really love teaching, and then you know how to trigger students’ inner motivation, how to design syllabi and lecture notes effectively, and how to keep students staying on track. Last, teaching with a big dream.
Teaching with your love. It is hard to tell how much you love to teach, but it is very easy for your students to measure. It is your enthusiasm, your passion! During my first class in America in fall 2013, I taught Finite Math at UNH. In my class, when I had trouble communicating with the students because of my broken English, other students jumped up and translated what I was saying or what a student was asking me. Nobody complained about my English, because they could feel my passion on teaching and enjoyed my class. Sometimes, students went back home earlier for holidays, so only few students showed up. I still taught them with my full passion like everybody was there. In addition, I teach in my own way. I have a happy, funny personality, so I will tell students a quick joke to refresh their brains when they feel tired or before I go over an important result. Sometimes I will make some funny action to make students happy and focus more on my lecture. As a result, they think math is a more fun and interesting course, and they enjoy and love my teaching.
Triggering students’ inner motivation. It is challenging to trigger students’ inner motivation, but there are four ways I use to have students learn math. One way is to tell them how math relates to their dreams, how math is useful to their dreams. Most students do not pay more attention to math because they think math is not their major, and the school forces them to learn. Students from Business, Computer Science, or even English just want to get the required credits. I will tell them, if they really want to do very well in their field, they need to have a very strong math background. They not only need to study the math courses the school requires, but also they maybe teach themselves other math courses which are related to their respective fields in the future.
Another strategy is to make students have faith in themselves. During my class, students could get bonus points if they answer my questions correctly, which makes them excited and they more will involve my class. Also, I encourage students to keep learning. For example, One student does not know what the value of the function f(x)=x2 at x+h is. I will ask him what f(1),f(2)are, I will be very excited if his answer is right and encourage him to follow me, then I will ask him what f(🙉),f(○)are. If he answers f(○)=○2, I will keep asking him, what happens if I fill x+h into ○. In this way, he finds the answer. The key is making him think he figures out the answer by himself so he feels he is very smart. Thus, he slowly starts enjoying more math.
The third way is to help students to get over their math anxiety. Some students are ready to take a math course and they want to learn it well, but they have an atrocious math background. I will tell them that is ok, that is why I am here. I will teach them quadratic formula if they forget it, I will teach them the basic formulas if they can not remember it. I will help them recall everything if they need it! After hearing this, students have more confidence for the course.
The last way is to be on the students’ side. For example, Some students really do not like math. I will say: “Some of you may do not care how useful the math course is, you just want to pass it, that is all. I understand you. What I want to say is you paid MONEY for it, so please get SOMETHING from this course!” When students make mistakes, I will say: “ I also made the same mistakes when I was a students.”
Design syllabi and lecture notes. To have an effective class one needs to design the syllabi and lecture notes well. The core part of a syllabus is the course goals and assignments. I will describe mathematics topics in each unit or section clearly and tell students which goals will be the basis for student assessment in the course. Homework, quizzes and exams will help them achieve these goals. In my opinion, mastery of material is obtained by working through problems from homework or other practice problems, assignments, and actively discussing these solutions, both right and wrong. There will be a lot of practice problems every week in every course I teach. I make course policies so each student can stay on track.
In addition, I carefully prepare and present the material such that students can understand the material better. “Which material might confuse the students? What kinds of questions might they have? How can I make them understand the topics better?” I always ask myself these questions when I prepare my lectures. I always focus on the topics that will confuse the students. How do I prevent confusion? Usually I will use the following four steps to avoid this confusion. First I will start by recalling something related the topic to warm up; from easy, to hard, to the topic. For example, taking the chain rule I will start by looking at the composition of functions. After explaining the topic, I will give different type of examples to make students understand them better, we may start with simple functions being exponentiated to complex functions including sins and logarithms. I will then ask students to do more problems in class, the ones who answer correctly on the whiteboard will get bonus points. Finally, I will give them assignment to practice and make sure students completely understand the topic.
Keeping students staying on track. I usually use inquiry-based learning in my lessons. For example. If we are talking about derivatives, I will try to discuss a toy model, like a student walking from their apartment to a classroom, and asking the the exact velocity as they walk. We start by assuming a strait line with average time, but then add complexities like stopping at an ice cream stand so the average velocity isn’t the true velocity during the trip. This not only engages the students, but we try to discover the derivative together. Also, I encourage my students to ask questions and tell them that there is no such thing as a stupid question. Thus, they could follow my lecture very well.
I also keep track of the students’ grades and participation in class. If I see them under-performing, I try to meet them after class and understand why they are stuck. Then I help them to get over the trouble. During office hours, I go over the material slowly and carefully, focus on the students’ needs. In addition, I also send them to useful resource, such as, tutor center, online videos, school counseling depends on the issue.
Teaching with dreams. I read my course evaluations and try to figure out how I can improve. I also keep track of the difficulties that my students had and what confused them, then pay attention to those when I teach this course next time. I also learn from other great teachers. Hopefully, I become a better teacher.
I am also curious of new ways to teach. For example. I usually teach classes in a traditional lecture model, but when I was a TA I worked in a flipped classroom model where the students watched lectures before class and class time was used to help them work through problems and understand the class at a deeper level. I found that the students understood the material better. I would like to implement this type of learning experience for my students in the future.
My final goal is to be a great educator. I hope, one day, I can share my ideas about teaching with other teachers by papers, videos or books.