How I help my Students overcome their Fears, create a Supportive Classroom, and get Students to ask Good Questions

logo for post 3During my five years of teaching experience as a teaching assistant including teaching, grading and math tutoring at Washington State University (WSU) and American University of Sharjah (AUS), I have noticed that many students are not motivated because they are scared of subjects that deal with mathematics, and because there is a common belief that math is a complicated and boring subject. When they go to any math class in general and freshmen and sophomore levels in particular, they already have a prejudice against the subject matter. One of my major obstacles as a teacher is to create a friendly environment. With patience and encouragement, I then proceed to build their self-confidence in learning mathematics. A successful math teacher must make the students feel that mathematics is learnable, applicable and enjoyable. The following is a list of two examples that I do in my Calculus II class to help my students overcome their fears from topics such as tests of convergence and divergence for series, and absolutely and conditionally convergent series:

  • Tests of Convergence and Divergence for Series:  Students do not usually like this important section of Calculus II curriculum because when they go to the exam, they get confused with two or more tests due to the similarity between some tests. As a result, they do not do well in exams and eventually in the course itself. Therefore, I decided to help them all by creating a table that contains all tests together, and I also added a “notes” section so they understand my notes and comments about each test. This table is available on my course webpage. Here is a sample of my table:


  • Absolutely and Conditionally Convergent Series: Students usually consider deciding whether series is absolutely convergent or conditionally convergent is one of the most difficult things in Calculus II. However, I created for them a table, and I called it “Binary Method for Alternating Series Test”. The name of this method stems from the fact that binary numbers are 0 0, 0 1, 1 0, and 11, and they represent divergence-divergence, divergence-convergence, convergence-divergence, and convergence-convergence, respectively. This table is available on my course webpage. The following is the Binary Method for Alternating Series Test table:


In conclusion, I also believe that students must engage with this learning environment during class discussions by asking challenging questions that make us both (teacher and student) think about these questions. For example, when I create a handout for my Calculus II students, I usually like to include one challenging question and ask my students to think about it. Then, we can start the class discussions about that challenging question. A perfect example of one of my challenging questions in Calculus II is the following:


To see more examples like this and other handy methods, please see my course webpage.  Best of luck and feel free to reach out if you have questions!


Kaabar, M. K. A. (2012). Mohammed Kaabar Website, Available at

About Mohammed Kaabar

Mohammed Kaabar is a math faculty member (professor) at Riverside Community College District. He is the author of (A Friendly Introduction to Differential Equations) and (A First Course in Linear Algebra) Books, and his research interests are numerical analysis, differential equations, linear algebra, and real analysis. He is an invited Technical Program Committee (TPC) member in many conferences such as ICECCS 14, ENCINS 15, eQeSS 15, SSCC 15, ICSoEB 15, CCA 14, WSMEAP 14, EECSI 14, JIEEEC 13 and WCEEENG 12. He is a former editor for the American Mathematical Society (AMS) Blog, and he is also a certified peer reviewer and member of the math editorial board at Multimedia Educational Resource for Learning and Online Teaching (MERLOT) which is a program of the California State University System partnering with education institutions, professional societies, and industry.
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7 Responses to How I help my Students overcome their Fears, create a Supportive Classroom, and get Students to ask Good Questions

  1. Samatov Bahrom says:

    Good day, dear colleagues! I work in Namangan University and teaches math .If you send me your methods of interactive teaching, it would be very helpful to my students. In advance thank you.

    • Mohammed Kaabar says:

      Hi Samatov,

      A good reference for methods of interactive teaching is my webpage ( All my lecture notes, assignments, handouts, free textbooks, free online courses, and lab projects are available on it.

      Best Regards,
      Mohammed Kaabar

  2. Yevgeny GAYEV says:

    Dear Mohammed, I appreciate your attempt to make Math attractive to students! To do it “Interactive” is a right way. I’d even say “to do Math experimental”!

    I am also looking for such methods, and I discovered MATLAB as an appropriate way for this. May be, Maple is good, too. Besides, I’ve found that programming, especially simple programming in the MATLAB environment, greatly increases student’ creativity.
    If you’d like to discuss more, you could write me to

    Yevgeny Gayev, Prof. in National Aviation University, Ukraine, Kyiv

    • Mohammed Kaabar says:

      Dear Yevgeny,

      Thank you for your reply and suggestion. I do actually use Maple, Matlab, and Desmos in Calculus II lab projects because these software programs give my students a good visualization of mathematical concepts.

      Best Regards,
      Mohammed Kaabar



  4. Leesa Johnson says:

    Excellent way of expressing your views in front of readers. I truly agree with your post and I think that it’s the best idea for students and they can get a healthy environment for their studies and it will be good for them to do better in their exams.

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