# Teaching Portfolio

Teaching Philosophy

I believe that a teacher has a symbiotic relationship with their students where both parties grow together. A student sees their teacher as a role model that they can follow and they can rely on. Therefore, as a teacher, I have a responsibility towards my students to be exemplary and help them succeed in the classroom. I would like to list some aspects of my personal teaching philosophy as below.

From the first day of the class

First Impression matters.

Whether it is the first day of the class or the first day of the lesson, the first impression that we give to the students matter a lot. On the first day of the class, I try to create a friendly environment where the students feel comfortable to ask questions and share their ideas freely. It is important to clearly communicate what is expected from the students and set a positive tone of the class from day one. It is important to let my students know how technology can and can not be used during classroom activities.Enthusiasm leads to motivation.

Experience have taught me that students are motivated when the instructor is enthusiastic. Enthusiasm of the instructor carries over to students and make the class more enjoyable and students more engaged. I have been inspired by teachers who are more enthusiastic in the subject no matter how simple the subject is for them compared to the level of their expertiseClear and prompt communication.

I believe that another vital key for students' academic success is clear communication of what do we, as instructors, expect from our students and what resources are available for the students to help them to meet these expectations. Especially with some hybrid or online modalitiesEstablishing expectations, clear guidelines.

It is important for students to know what we expect from them in order for them to becomes active and independent learners. it is expected from a student to spend 3-4 hours per each credit of college math.

## During each lesson...

A lecture vs. discussion.

I believe that, as an instructor, my main duty is to train my students to be active and confident learners. One way of achieving this goal is to make my lessons are engaging as possible by making lessons a classroom discussion more than just a lecture. This way students get to participate and contribute to what they are learning.Learning "how?" and "why?"

It is important that students know mathematics is not just memorizing a bunch of formula but also a way of thinking. So it is important that students understand "why" a certain method/step is done, not just "how" to solve a given question.Use of technology.

I believe that students and instructors should use resources that are available for learn and teach. I in-cooperate technology to draw graphs, show 3d objects as visual aids to my students. I have familiar with a variety of e-learning platforms too.

## Practice, Practice & Practice

It is important that students practice questions on their own. With practice students are able to solve questions quickly and more accurately, an important skill in most exams!

Good examples in class.

During lessons I choose examples that cover different types (word problems, numerical problem,s, multiple chocie/answer questions) and with different levels to show case my students."Crowd-sourced" solutions.

For theses questions I do during the classroom, I would typically do one or two examples on my own to show my students the logical thinking behind each step and the rest of the solutions are "crowed-sourced" by students during the class. Each step, from beginning to end, are obtained by interacting with students. This way we make mistakes together, understand why they are wrong, and learn together.Workbooks.

I have notes that students take good interest in material that are not just their required textbook. So as means to make students practice more, I have started creating "workbooks" for each chapter. Sometimes (depending on the syllabus) these workbooks can carry extra credits for the course. Theses "workbooks" also came in handy during exam review time, since students get a bank of questions they can practice and test themselves on. Also it is convenient for the instructor to point out certain examples from theses workbooks as questions to practice for the exams.

## Feedback

It is important as an educator to give and get feedback often. These are few methods I employ to give and get feedback from my students.

Takeaway of the day.

Formative Assessments.

Mid-semester teaching evaluations.

Learning from peers.

## No student is left behind

Skeletal notes

Mathematics is not about memorizing formulas.

Do not leave the classroom with questions in mind.

Resources

Resources fro Students

## Useful Online/Free Tools for Students

Desmos: An online graphing calculator

Symbolab: Graphing, Matrix Manipulations, Calculus (integrals, double integrals, triple integrals and much more).

Wolfram|Alpha: Similar answer engine like symbolab (based on Mathematica) but more powerful.

OpenStax: Peer-reviewed, openly licensed college textbooks.

iLovePDF - PDF editing. Can do most thing Adobe Acrobat Pro (paid version) does.

OBS Studio - video/screen recording, live streaming, virtual webcam, etc.

LibreOffice - MS Office (Office 365) alternative.

OpenShot - Video editor

## Other Resources for students

Math Learning Center at MSU (MLC)

ARC at MSU (LGBTQIA+ Resource)

RCPD at MSU (Resource center for persons with disabilities)

Courses I Have Taught

## At Michigan State University

As the Instructor:

As the Lead TA for Recitations:

MTH 132 (Calculus I) - Spring 2021, Fall 2020

As the Teaching Assistant:

MTH 235 - Spring 2022

MTH 299 - Spring 2019, Fall 2018

## At Ohio University

As Instructor:

MATH 1200 (College Algebra) - Spring 2017, Fall 2016, Spring 2016, Fall 2015

Sample Teaching Material

Teaching Evaluations