Amanda Jansen, Rough Draft Math: Revising to Learn, Stenhouse Publishers, Portsmouth, New Hampshire, 2020
Christian Servín, Olga M. Kosheleva, Владик Крейнович · Journal of Intelligent & Fuzzy Systems · 2020
This book is not about fuzzy, but it is about fuzzy.This a pedagogical book, it does not explicitly mention fuzzy logic -but its ideas are exactly the ideas underlying fuzzy logic, that everything is a matter of degree.Its ideas can therefore naturally be translated into the fuzzy language.Moreover, these ideas add one more case to thealready large -list of cases in which fuzzy thinking and fuzzy techniques help solve important practical problems. Teaching math is especially difficult. All teaching is difficult -and all learning is difficult.There is a reason why teaching and learning math -especially in elementary and middle schools -is especially difficult: math is crisp.When a student is asked what is 90 -74, there is nothing imprecise of fuzzy about it: either the student gives a correct answer 16, or a wrong answer.Why is crispness a problem?For example, in linear algebra, the instructor can ask students, on the test, to solve a system of two linear equations with two