Mathematical Proofs Galore

I have written quite a number of articles on mathematical proofs, so I want to summarize them in this post.  Most of these proofs are high school level, so students who are mathematically inclined are encouraged to read them. Proof Basics  Introduction to Mathematical Proofs Proof Tutorial 2: Proving the Irrationality of Square Root of […]
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Mathematical Proofs Without Words: What are they?

In  Proof of the Sum of Square Numbers, I have mentioned about proof without words. Some of you are probably wondering what they are, so I will discuss in detail. Proof without words are diagrams or pictures that help readers see why a particular statement is true even without accompanying explanations.  One example is a […]
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Math Exercise, Problem, and Investigation

As teachers, it is important that we vary the mathematical activities we give our students. The learning that takes place in the classroom is, in one way or another, affected by the kind of tasks that we give them. These tasks may be classified into three: exercises, problems, and investigations. Math Exercise A math exercise is […]
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