Category: Teaching and Growing

A Journey of Selfgrowth in Learning Mathematics
After receiving the midterm exam paper, J.L., a student in my math class, cried to me, “I’ve tried my best to learn geometric proofs, but I just don’t know when and where to add auxiliary lines. I’m not as smart as D.G. (D.G. is the best performer in the class). Mathematics frustrates me”. J.L. is…

What’s wrong with the logic in counting?
QuestionThree females and three males are applying for three identical positions with a company. The hiring committee wants to hire at least one woman. How many different ways can the four positions be filled? Student answerSince at least one woman will be hired, choose 1 woman out of 3 firstly to secure a woman C(3,1).…