Calculus I, Fall '23, Summer II & Fall '24, Spring '25
Calculus III, Spring '24
Student Experience Project on Student Belonging '25
Diamond Peer Teaching Mentor '25
College Algebra, Fall '20
Utilizing the online Instruction utility MyMathLab and a university-developed curriculum
Calculus I, Summer '20, '21
Calculus II, Teaching Assistant, '17-21
Calculus III, Teaching Assistant, '19-23
"Calculus Early Transcendentals" 3rd Edition by Briggs et. al.
Utilizing the online homework utility MyMathLab
President of the Mathematics Graduate Student Colloquium, '19-23
Department Representative in the Graduate-Professional Student Congress, '22-23.
Assistant organizer of the Mathematical and Applied Analysis Seminar, '22-23.
Updated course registration materials including creating LaTeX generated course forms, '16
Developed a timetable application for projects and scheduling and services/needs through academic year , Summer '18
Coordinated tutoring services for Collegiate Science & Technology Entry Program (CSTEP)
for first generation college students, '16-17
I believe that teaching should consist of meeting students where they are, engaging their interests, and promoting active learning and growth mindsets.
The field of mathematics can only benefit from promoting diversity and inclusion, and to grow the field I am committed to these ideals in my pedagogy. With regards to equity I believe that without a meaningful understanding of the student backgrounds, and what they may be facing, we cannot properly serve our students.
It is important to me to give students an idea of what goes into analytical thinking. Polya's book How to Solve it was my introduction to problem solving through Polya's method, working backwards, mathematical induction, and contradiction arguments. Below is a slide set I have used to introduce some of these ideas in class.
Any time I can take a lecture and make it an interactive assignment, group work, or discussion I will take that opportunity. Below I attach a couple assignments I use regularly, but to the right is an assignment I am beta-testing. I believe that students learn more when they connect new methods, like u-substitution, to old information than when I do it for them, and this assignment tries to access that kind of learning.
It is very important to broaden your horizons as an educator. One extremely useful project we went through in the Teaching in Higher Ed certificate is a Case Study on solving issues in a hypothetical classroom. Using Blooms Taxonomy, Universal Design for learning, and de-escalation tactics we can prepare ourselves to handle uncomfortable interactions or issues in the best interest of ourselves and the class at large. Here are some case study analyses I completed, and how I would respond to issues arising in the classroom.
In Spring 2025, I worked with Evelyn Urgiles as a Diamond Peer Teacher mentor. I guided her through lesson planning, pedagogical theories, and helped her plan and run office hours, review sessions, lecture, and a group work assignment in class.
We read through Paolo Friere's Pedagogy of the oppressed, George Polya's How to Solve it, and Sangra McGuire's Teach students how to learn. Our meeting helped both of us grow as teachers, and culminated in a final reflection paper attached below.
I am excited for future opportunities to supervise TA's and student/peer teachers.
A collection of some of my most cherished feedback
"I just wanted to take a moment to sincerely thank you for all your effort and guidance this semester in Calculus I. Your teaching made a big difference in my understanding of the subject, and I really appreciate the way you explained the concepts and supported the class throughout.
I’ve learned a lot over the past few months, and I’m truly grateful for the experience. If I ever need help in the future, especially in follow-up math courses, I hope it would be alright to reach out for your advice or support.
Thanks again for a great semester. Wishing you all the best!"
"I just wanted to let you know I appreciate you for being my professor this class. You really believed in me, giving me chances and pushing me past my limits. I'm grateful to be taught by you and hoping to be in another class by you. My calc 2 class next year doesn't have a professor section 9 and maybe you can fill in that spot haha. All jokes aside, we need more professors like you, and I hope you keep doing this for a long time as long as you enjoy this. Take care and enjoy your summer!"
"I wish you taught Calc 2, I am able to understand your teaching style very well. I hope you have a great summer!"
"Professor Phelps is a very-very-very nice person. He will help you with
whatever your question is and can come out with very flexible office hours. He knows calculus perfectly. But the way he teaches is a little bit difficult, he talks a little
bit fast, but I still can understand him. He is a nice person, but like a teacher, he is a little bit difficult. Very fair in grades, always give you a chance with extra credit
and make-ups!"
"I appreciated Professor Phelps kind personality, which made me
comfortable to answer questions as well as ask them. I also liked how he took the time to go over homework problems that the class did not understand, this helped
me grasp the concepts better."
"I think this instructor is a great instructor. The instructor gave us all the
resources to succeed, and I do not see a reason that a student should not pass the class with flying colors. If a student does not pass I think that just reflects the
students academic habits and not the instructor. This instructor is a really good at what he does, and in my opinion this professor could teach any math course and
his students would do amazing."
"Instructor is very kind and inclusive. He doens make you feel dumb for asking lots of questions. I really appreciate him and the atmosphere he creates."
"very very good I learned everything I needed to and never felt lost or
confused for more time than necessary because my questions were always answered, and he spent a great deal of time explaining logistical things as well, so there
was never any confusion. I like the teaching style."
"Great professor. Liked him a lot. Helpful but relaxed and made it a class meant for growth."
"He was fantastic! I’m disappointed that I don’t have him next semester for
Calc 2."
"Of all the math courses I have taken, Professor Phelps is by far the best"
"A great instructor, he provided very clear and concise teachings throughout
the course. He did a great job of providing in-depth explanations whenever I had trouble with a concept, he also encouraged group discussions which was helpful
during class."
"He was very nice and easy to approach if I had any questions. He taught the material very well"
"Patrick is a good professor, very good at answering questions and is easy to approach. A lot of professors in the math department make you feel guilty or stupid for asking questions but Patrick is very understanding and gives great feedback and does not make you feel bad for asking questions."
"I would recommend this professor to other students, as this is my second time taking Calculus and I felt much more knowledgeable and confident. Because Professor Phelps knew this and knew many students were retaking this course, he was able to see many of us were putting work in to pass, and he acknowledged this, allowing us other opportunities to bring our grade up."
" Professor Phelps was kind and considerate of all people and regarded everyone with respect."
" The Professor knew all of the faces in his section by name. He never graded someone poorly for the way they looked. He was very nice and caring for all of his students."
"Really enjoyed when Prof. Phelps applied the course material to the various disciplines our class were working towards"
"I appreciate the multiple resources put in place for us to excel and also availability of the professor to ensure no one student is left behind."
" I think you implementing homework as well as quiz corrections really contributed to my learning. If the homework was not assigned I most likely would not do it which would lead me to do poorly on the quizzes and exams. I also felt like having the quiz corrections I was truly able to learn and reflect on my mistakes."
"Professor Phelps would help anybody with any question they had, and would even give time for students to ask any questions they may have before quizzes to make sure no one was going in with any lingering questions."
"I liked the in-class assignment handouts. Also, the pre-class notes were an interesting idea. Prior to the course, I thought they were a waste of time, but prereading the textbook really helped when we saw the content again in class."
"The instructor was very inclusive when it came to handling students with accommodations, as myself. This instructor did not penalize students if they were absent from lecture with a valid reason. The instructor also gave me many opportunities to meet with him to get assistance if I did not understand something."
"Professor Phelps was so nice and lovely with everyone throughout the entire semester. I believe everyone felt comfortable around him regardless of their race, religion, etc. I’m a Muslim girl and I was quite comfortable the entire semester. Also he treated us all with the same respect and care."
"10/10 He’s by far the best professor I’ve taken a class with at Temple University."
" The professor was good at keeping students engaged. Participation can be improved by allowing for students to do more group work."
"Really great instructor, helped me get through calculus without any difficulties. Everyone should take calculus with this instructor."
"This instructor asks if students have any questions and uses poll everywhere sometimes which is very helpful to students who may not be comfortable raising their hands."
"He is great teacher who helps us learn the root of each problem and why do things a certain way so that it makes sense. If he were to teach Calc 2 I would definitely take his class. Very understanding teacher who truly makes you want to pass the class."
"Great Professor, one of the best in the math department."
"Thank you so much for your work this semester, you're a great TA. Patrick always follow up with student and ask what needs to be improved. Always on schedule and have a clear plan, and he cares for students' success."
"Patrick is professional, kind, receptive, and intelligent. It's obvious that he has a passion for knowledge and mathematics, as well as instilling that passion in others."
"Definitely one of the nicest professors I have ever had"
"Mr. Phelps was great at covering the topics in class and explaining concepts. He worked on great examples in drill and did a great job in explaining them. He was also a great communicator in class and outside of class. He constantly sent out emails to the class with reminders, overviews of what we will be doing in drill, and extra worksheets that we could work on. Overall, Mr. Phelps was a great instructor and has helped me tremendously class."
"Mr. Phelps has done an amazing job as a drill instructor. He has helped make all of these complex topics seem doable and easy to understand. Without his help during drill, I do not think I could be as successful as I was in this course."
"Patrick always explained things from first principles when beneficial, and he always presented new concepts in an intuitive manner. Patrick is no artist, but he did a great job of drawing helpful visuals to go alongside problems. He also promoted class participation and welcomed a variety of questions that he was able to answer with expertise."
"Patrick clearly has a proficient understanding of the concepts and explains them well to students. He uses multiple resources such as drill worksheets and examples from the book to teach, which was very helpful to me. In addition, he was very willing to help students and re-explain concepts or problems when students were confused."
"Patrick does a good job of going in depth. His explanations are succinct and easy to follow, and he's knowledgeable of the topics at hand. He's also good at answering questions with multiple levels of details, if needed. I can't think of any weaknesses."
"Patrick is an excellent teacher and if his goal is to become a math professor I think he will make a great one. He helped me understand the course past what was required of me."
"I was singlehandedly pulled from the depths of failure and confusion by this man."
"Patrick is a very good TA, he understands the material well and is a very good teacher. He operates the class in a very good way and always works through problems that us the students want to see."
"I think Mr Phelps did a great job presenting information in a clear way. The take home quizzes were difficult but the added difficulty helped me make connections that wouldn't of been possible otherwise."
"a good job teaching the course. If anything we (the students) did not do our part by participating as much as we should. Plenty of examples were covered to help our understanding of different theorems or concepts. Quite difficult test but its a college level math class that requires you to understand a bit further than the simpler homework questions."
"I enjoyed this class and I believe I have developed a good foundation to be successful in calculus 2 and beyond."
"Patrick was very helpful during his office hours, and I think more people should have used this to their advantage when in need of help."
"Patrick Phelps is an excellent instructor. He is always willing to meet with students to help them understand the challenging material. Also, he will go over any questions that students need help with. He has been essential to my understanding of calculus."
"Thanks for a good semester. Always available via email right away which is something I liked."
"Mr. Phelps answered several emails from me throughout the semester very timely and they were always helpful."
"He was great the entire semester!"
"You are a really amazing teach and you taught the exact way that i needed to be taught. I like how you go over the little things when solving a problem instead of just assuming that we would have automatically know how to do it! Thank you so much for that!"
"Thank you for being such a great teacher! You kept everything very simple and easy to understand while still being kind and understanding when we were confused. I appreciate your hard work!"
"Patrick was a great instructor. He was quick to respond to emails and would always have the answer that was needed. I enjoyed that he would relate things to material we may have learned earlier in our education, so that way we could understand it better. It was also incredibly helpful that we would do practice after practice after practice. At some point the parts click because of that and it makes everything much easier to understand. He was also incredibly easy to interact with and was always readily available for class. I thoroughly enjoyed having him as an instructor."
"Mr. Phelps was a great instructor. He was very nice and was always there for us when we needed to ask questions or we were confused. I struggled with just having to take the actual course online. It was hard to stay motivated when I am taking this course online at home instead of face to face. Overall I feel like Mr. Phelps made it a little easier to take it online."
"I hope he keeps teaching. He is a good teacher, he’s friendly and down to earth, and he makes calculus accessible."
"I honestly had a hard time with this course, mainly because I am not great with numbers. Although the lectures were hard to sit through at times and began to feel a little repetitive. Patrick truly was a good Professor and helped me out when things got really hard in the class."
"He was always very clear about his expectations for us in the course, and he made sure that he was always available to answer individual questions or provide additional help."
"He is one of the most helpful math teachers I have had at the U of A. There are some algebra problems I would encounter and he would go back and explain them clearly. He did this for all the students. Every question a student had he answered it well. He is a very good math teacher."
"Mr. Phelps cares about his students and calculus and it is clearly demonstrated in the class. I couldn't have asked for a better professor, especially during the pandemic!"
"Patrick was a GREAT drill instructor. In the past l've had many drill instructors who literally just show up and are clearly not concerned with us knowing the material. Patrick couldn't be further from this. He always works out any examples that we want him to and goes into as much detail as needed for us to clearly understand the topics. If I could have him for my drill instructor next semester in my next math class I would!"
"Patrick is dedicated to what he does. The only reason I understood Calc 3 was because of his drill. Without him, I wouldn't have passed Calculus 3. I am really sad that he changed his method for the online class. Otherwise, you are one of the best TAs I ever had. I am forever thankful that he exists."
"Of all the TAs I've had for Calculus Patrick is the first one that truly helped me to understand the course material and made me feel as though he was invested in my education."
"Mr. Phelps was very helpful in explaining course material in a way that I can actually understand. Also he was very accessible for questions or whenever I needed help with a certain topic, which really helped me succeed in the course"
"Patrick tries really hard to make sure every student understands the topics being taught. He takes the things we learned in class and clears it up in the drill. He also makes himself very available outside of class if anyone needs additional help."
"Patrick was a really great drill TA. He taught the material in a way that was clear that he prepared ahead of time. He was readily available before and after class, MRTC, before and after drill, and very flexible office hours that really accommodated the student. He really focused on and helped us with content that was going to be on the quiz or test to better prepare us. He had material prepared but was very flexible in teaching and working on things that was difficult for the class as a whole. He explains things clearly, yet he made an environment that was comfortable in discussing things that were not clear. He was clear in announcements in class and emails what was due and when tests and quizzes were. It was clear that Patrick proactively worked to help student learn and succeed in Calculus III."
"Patrick was the reason I did so well in this course. Because of how large the classes were, I found it somewhat intimidating to go see Dr. Mantero. Patrick was readily available to meet and help with anything. He consistently reviewed material and almost retaught it to us in a way to make it stick. We had a substitute in our drill and while she was good, I found she was not as organized and on top of the material as Patrick is. Every class we would quickly review the last drill's material, review what was taught in class, then work out practice problems. Because the calculus II material is harder, I really appreciate that Patrick made a significant effort to ensure that students were understanding what was going on. At first, I was frustrated that we had to stay the entirety of the drill to work on problems but I really appreciate this because I was able to work on that much more with someone who knew exactly how to solve the problems. In the future, it may be helpful for the TA to assign small groups in the drill to work on problems together. I always found it awkward to group up with others and I never felt close enough to anyone to reach out to them outside of class. Please continue doing drill the same way as it was always tedious but extremely beneficial!"
"I’m very glad you were the last drill section available for me to take. You did a wonderful job both times I took your drill. Thank you for being so helpful!"
"Does a great job of explaining hard topics in an understandable way. Often learn more from drill than I do from the lecture. The daily worksheets are very useful to study for exams. 9/10"
"I made good friends in this class because of Patrick's group practice problems. Helped me a lot with Calculus II in general."
"Patrick Phelps is very knowledgeable and helpful. He is always willing to meet with students during and outside office hours. He makes the material learned in lectures more clear and working problems during drill was the most beneficial part of this course. Overall, I enjoyed his drill."
"Great grasp of mathematics and calculus in general. Broke down some really difficult concepts into streamlined ideas and we not jumbled around. Gave a sense of order and understanding on the content."
"Good TA, always pushing students to attend office hours and do their absolute best"
"You made math fun. I honestly laughed a lot during class and learned while having fun."
"Patrick was really great at taking hard concepts in class and laying them out in such a way that made them much simpler to understand."
"I really enjoyed having Patrick Phelps as my TA this semester."
"This class was really helpful. The instructor also was always willing to answer our question. Sometimes his explanations in class are not very clear, but the office hours are very productive."
"Patrick was a great Cal II TA. He taught and explained things in a way that allowed us to know what was going on instead of explaining things from a wordy math perspective. He was readily available for help, and he was pretty laid back and understanding so there was little stress during drill."