Studying
Ramanajan's Nest of Square Roots Giving a Number

Don read the biography of Ramanujan: "The Man Who Knew Infinity- A Life of the Genius Ramanujan" by Robert Kanigel, years ago, but never studied his works until he saw the 3 books in the following series during the summer of 2011. The mother of one of Don's students let him borrow 2 of the books, the Primary School and the Middle School. He started working on some of Ramanujan's problems.

AN INTRODUCTION TO

CREATIVITY OF RAMANUJAN

AS

SUPER STUDENT STAR

by

P.K. SRINIVASAN

An Instructional Guide To

Mathematics Teachers

in

MIDDLE SCHOOL

a publication of

THE ASSOCIATION OF

MATHEMTICS TEACHERS OF INDIA, Chennai.

E-Mail: amti@vsnl.com

CREATIVITY OF RAMANUJAN

AS

SUPER STUDENT STAR

by

P.K. SRINIVASAN

An Instructional Guide To

Mathematics Teachers

in

MIDDLE SCHOOL

a publication of

THE ASSOCIATION OF

MATHEMTICS TEACHERS OF INDIA, Chennai.

E-Mail: amti@vsnl.com

__________________________________________________________________________________

Don got interested in the Nest of Square Roots Giving a Number. He also started showing what he did to some of his students. Don made his first one below:

Don was intrigued by all the patterns above.

Don worked with Shouri, a 3rd grader, the following week he came up with this nest:

Shouri also came up with the generalzation:

Fine
Work, Shouri !

**Grant's work and his
generalization following Ramanujan:**

Don had Grant send
an email to Prof. Bruce Berndt at the U of Illinois math department, who has
written books about Ramanujan's notebooks. He encouraged Grant to find other
generalizations using the nested square roots.