After a few general questions that I asked them, they (the children) said that they had some questions to ask me. And then one after the other, the children began to ask questions. In some sense, to me, it reflected the freedom of expression that the school seemed to be inculcating.

# Mathematics

New educational portal Math4U - http://math4u.vsb.cz offers attractive and complex training materials for students and also offers tools for teachers to prepare tests and exams.

Math4U portal is divided into three main sections - Math for Student (Math4S), Math for Teacher (Math4T) and Math for Class (Math4C).

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The topic of ‘Equations’ can be approached in several ways. The choice of approach has a strong impact on the conceptual image which a student builds about a given concept. Hence, the choice is crucial in helping a student in understanding the concept as well as in developing the procedure for solving the problems. However, every approach has its limitations and can be used only for solving certain types of problems. Its use is limited and it may become necessary to expose students to other approaches when the type or complexity of the problems alters.

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- Read more about Introduction to Algebra IV - At Right Angles Pullout
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It was during lunch on a pleasant day that I was told about this popular book on Mathematics called “Mathematician’s Delight.” I was chatting with a professor who said that his choice to become a mathematician was influenced by this book. The story went like this: When the professor was a teenager, just after high school, during the summer vacation, he found this book and wanted to give it a try. He could follow most of it without much difficulty, and solved most of the exercises which led him to ‘experiment’ with mathematical ideas on his own.

- Read more about Book Review of W.W. Sawyer’s Mathematician’s Delight
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Pure geometry or Euclidean geometry is a body of theorems and corollaries logically derived from certain axioms and postulates as presented in Euclid’s Elements. Later geometers, both Greek and others, have added to this. Occasionally some algebra is brought in but not trigonometry. Abraham Lincoln is said to have read the Elements just for the reasoning.

- Read more about Problems for the Middle School March 2019
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Some problems for the Senior School.

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In this edition of ‘Adventures’ we study a few miscellaneous problems, some from the PRMO and some from the AIME (the ‘American Invitational Mathematics Examination’). As usual, we pose the problems first and present the solutions later.

- Read more about Adventures in Problem Solving - March 2019
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We know that Pythagorean triples are infinite in number, and the most common formula for generating triples is to take two relatively prime odd numbers s and t, where s > t ≥ 1, and produce the triple (st, (s^{2}−t^{2})/2 , (s^{2}+t^{2})/2 ). However, can we generate all possible triples from just one triple? Can we generate infinitely many triples from just one triple? These might be questions worth investigating.

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Graphics calculators have been available to students in secondary school in some countries now for more than thirty years, although of course their capabilities have been developed in various ways to support the school curriculum over that time. The most frequent use of these devices seems to be concerned with the representation of functions, including in particular their graphical representation, which was an important component of a previous paper in this magazine (Kissane, 2016).

- Read more about Taking a Chance with a Graphics Calculator
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There is another class of semi-regular 3D shapes - the Archimedian solids. In these the faces are again regular polygons but they are not all congruent, i.e. they differ in the number of sides. One such Archimedian solid is the truncated icosahedron.

- Read more about The Truncated Icosahedron – An Iconic 3-D Shape
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