Are certain individuals born to be teachers and can only those be truly competent? Or can people without such aspirations develop to become ‘great teachers’? Are there certain conditions, the presence of which foster such development?

# arithmetic progression

In this edition of ‘Adventures’ we study a few miscellaneous problems.

- Read more about Adventures in Problem Solving
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Magic triangles can be added to each other term by term, the same way that magic squares can be added to each other. We show here how two third order magic triangles can yield another third order magic triangle through addition.

- Read more about On Adding Magic Triangles
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In the July 2018 issue of At Right Angles, the topic of magic triangles was explored, a ‘magic triangle’ being “an arrangements of the integers from 1 to n on the sides of a triangle with the same number of integers on each side so that the sum of integers on each side is a constant, the 'magic sum' of the triangle. There was some error in the proof and here in this article we will track down the error.

- Read more about Addendum to Theorem concerning A Magic Triangle
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Magic Triangles and Squares are often used as a 'fun activity' in the math class, but the magic of the mathematics behind such constructs is seldom explained and often left as an esoteric mystery for students. An article that can be used by teachers in the middle school (6-8) to justify to students that everything in mathematics has a reason and a solid explanation behind it. Plus a good way to practise some simple algebra.

- Read more about Theorem Concerning a Magic Triangle
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- Read more about Exploration with Surds
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- Read more about Theorems on Magic Squares
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- Read more about Prime Magic Squares
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Here are some problems for students in Senior School.

- Read more about Problems for the Senior School - July 2014
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Paul Erdős has been described as one of the most universally adored mathematicians of all time. No mathematician prior to him or since has had quite the lifestyle he adopted: the peripatetic traveller living out of a suitcase, moving from one friend’s house to another for decades at a stretch, and all the while collaboratively generating papers; no one has had quite the social impact he has had, within the community of mathematicians.

- Read more about Paul Erdos - The Artist of Problem-Posing
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A short writeup by A. Ramachandran which can spur the motivated teacher to design investigative tasks that connect geometry and sequences.

- Read more about AtRiA Triangles with Sides in a Progression
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