Titlebook: Mathematics, Education, and Other Endangered Species; From Intuition to In Shlomo Vinner Book 2018 Springer Nature Switzerland AG 2018 intu

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The Misconception Fallacy, the Pseudo-conceptual and the Pseudo-analytical Behaviors in Mathematicaodes of thinking that form mistakes. The names I give them are the . and the . modes of thinking. People who are involved with these modes of thinking in certain situations pick up some notions that look relevant to the context in question, and use these notions in their responses in a meaningless way.

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The Pseudo-conceptual Behavior in Contexts Outside the Mathematics Classroom,In this chapter I show that the . mode of thinking also occurs in situations in philosophy and social sciences. Thus, we see that it is wrong to restrict certain modes of thinking to mathematical situations. Mathematical thinking is not an “isolated island.”

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,Can E-learning (Computer-based Learning) Replace Teacher–Student Individual Communication?,My answer to the above question is negative. In order to establish my claim I am relying on a well-known work by Erlwanger (1973), which shows that without intensive interaction with a teacher the pupil can reach huge misconceptions about the topic under consideration.

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Mathematics in Mindhttp://image.papertrans.cn/m/image/626993.jpg

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Science Versus Common Sense and Theology,his was not so easy. It is hard to accept that you are not the center of the world. Therefore, it took some years before the Church agreed to accept Copernicus’ theory..Several centuries later, in 1925, a high-school teacher was taken to court because he taught Darwin’s theory of evolution. He was f