Titlebook: How Interval and Fuzzy Techniques Can Improve Teaching; Processing Education Olga Kosheleva,Karen Villaverde Book 2018 Springer-Verlag GmbH

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Introduction: Need for Interval and Fuzzy Techniques in Math and Science Education, teaching is largely an art. There is a lot of advice on teaching, but this advice is usually informal and thus, not easy to follow. Students are different. Whatever worked for one group of students may not work for another group. Students have different preparation level, different motivations, dif

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Uncertainty-Related Example Explaining Why Geometry is Useful: Geometry of a Plane Rescueerly take uncertainty into account, then the corresponding problem becomes more realistic – and thus, students have more motivation to study it – and at the same, the problem becomes more challenging, so it can serve as a case study for learning to solve complex problems. In this chapter, on the exa

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Uncertainty-Related Example Explaining Why Calculus Is Useful: Example of the Mean Value Theoremchapter, we show how to explain usefulness of simple calculus results to engineering and science students – on the example of such a seemingly theoretical result as the Mean Value Theorem. It turns out that this result is very useful in problems with interval uncertainty.

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How to Enhance Student Motivations by Borrowing from Ancient Tradition: Babylonian Method of Computiathematical ideas beyond simple arithmetic, namely, the ideas of computing the square root. When computing a square root, computers still, in effect, use an iterative algorithm developed by the Babylonians millennia ago. This is a very unusual phenomenon, because for most other computations, better

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How to Enhance Student Motivations by Borrowing from Modern Practices: Can We Learn Algorithms from bility of some people to perform calculations unusually fast. In the past, mathematicians actively used this ability. With the advent of computers, there is no longer need for human calculators – even fast ones. However, recently, it was discovered that there exist, e.g., multiplication algorithms w

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How to Enhance a General Student Motivation to Study: Asymmetric Paternalism and interesting. In addition to this, we also need to make sure that the students are excited about studying ., that their levels of interest and commitment remain high. If a math instructor convinces the engineering students that they need to learn math, this should not lead to them getting less i