Class 11-12

Education is a prime concern of society. Naturally both as individuals and as a society we always think about a better education for all round growth and development of the individual and, ultimately, society. Today the term quality education has gained pace and is a matter of concern and debate among educationists and even common people. In fact education itself is qualitative in nature and outcome. The matter of discussion or concern should be the process, the contents etc.

This electric motor boat is easy to make and can be seen sailing in a bath tub or a small pond.

Materials Required:

two plastic bottle, two pencils (find used pen instead or bamboo stick of same size), hard cardboard (instead of popsicles), a small dc motor, propellor (you can make yourself with a plastic bottle), cello tape, soldering iron, glue (fevibond will work)

Learning through play, particularly in a child’s earliest years of life, can improve 

It doesn't make sense to hire smart people and then tell them what to do, We hire smart people so they can tell us what to do.  ~Steve Jobs

This adage doesn’t seem to be understood by many school managements in India. They hire good teachers, and then tie them up with so many instructions that the teachers lose their freedom, their unique style of teaching, and are eventually labelled as unsuccessful teachers. One of these instructions is about the planning of a lesson.

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).

Some problems for the Senior School.

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.

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, (s2−t2)/2 , (s2+t2)/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.

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).

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.

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