Publications & Resources
Our faculty, students and researchers work together everyday to contribute to a better world by grappling with urgent problems we are facing in India. We conduct rigorous work to produce high quality learning resources and publications to contribute to public discourse and social change. Here, we feature a sample from our work for everyone to access. You can explore featured resources, policies, and the latest publications from the University.
To explore all the work of our University, please visit our publications repository.
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Education policies have resulted in several enduring legacies in keeping with the ever-changing society, as well as its political manifestos. Because of the dynamic nature of society in general, and the speed with which the world changes, bringing with it changes vis-a-vis every aspect of socio-economic-political change, national education policies from 1968 have seen changes in 1986, 1992 and now a draft policy in 2016. It is expected that each policy, when introduced, will take into account the demands of the day while preserving the central core of its goals. National educational policies are, or at least should be, the consequence of a clear understanding of the socio-cultural beliefs of India, and at the same time having clarity in introducing a system that is aligned to the goals enshrined in our Constitution and has the avowed purpose of creating a democratic society of enlightened citizens. In this Issue, we have articles which examine education policies from 1968, which was the starting point chosen for this issue. The draft policy of 2016 has been closely examined, as have the ways in which language and literacy have been addressed. Another article is an examination of the history of educational policy documents. Other articles have been written about specific aspects such as CCE and the Midday Meal Scheme. This is only a sampling and we hope that readers will find this Issue interesting.
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Volume 6 Issue 2: It is a pleasure to share with you, our readers, the collection of articles in this, the July 2017 issue. The (un)popular view of mathematics being a terrifying subject takes a completely new twist with the first article in which a mathematician takes on a terrorist threat! The hunt for answers to a mathematical problem is usually an absorbing one, at least to aficionados of the subject but Arun Vaidya’s fascinating story I M Code makes it a matter of life and death.
Following this, we have an article on another application of mathematics: Interpolation by Sankaran Viswanath. You will see again how mathematics is a tool for prediction, and how data can be fitted into mathematical expressions which then provide a mathematical model. From here, we move on to card tricks; yes, fun and mathematics can go together — and At Right Angles shows you how in Suhas Saha’s Ternary Base Magic Trick. A quick peek behind the magic reveals patterns based on the ternary base, it’s not as complex as it sounds, read on to find out. Our Features section ends with Shailesh Shirali’s exposition on Quadrilaterals with Perpendicular Diagonals, a nice bouquet of Arithmetic, Algebra and Geometry for you.In ClassRoom, we have the second part of the Inequalities series started in the March 2017 issue, again, both Algebra and Geometry are used to first prove the arithmetic mean- geometric mean inequality and then apply it in several situations to illustrate the power of this relationship and also view its implications in graphs, geometric figures, functions􀀿􀀿􀀿.the list of connections seems endless! Moshe Stupel and David Ben-Chaim appear next with their article Three Elegant Proofs, the name says it all, we promise it lives up to its title. CoMaC, as usual, provides an indepth analysis of an often-asked question, now increasingly appearing even in WhatsApp forwards: What’s the next number? Is the answer really unique as the question implies it to be? More on numbers with Swati Sircar and Sneha Titus, writing on the Sums of Consecutive Natural Numbers; mental mathematics becomes visual all of a sudden, and this Low Floor High Ceiling activity is sure to appeal to a variety of learning styles. Vinay Nair takes up the theme of Divisibility by Primes and provides some powerful tests using an ‘osculator’. Students are sure to be intrigued. ClassRoom concludes with a Proof Without Words on a property of the Orthocentre of a triangle.
For some time now, we have been featuring articles by students and we are particularly happy when they write in with their own discoveries. So much so, that from this issue onwards, we have devoted space to Student Corner in the ClassRoom section. Featured this time are Bodhideep of class 6 and Parthiv of class 11, you are sure to be impressed with their discoveries.
Our cover this time, features Golden Quadrilaterals and the illustrations have been provided by Michael de Villiers, who continues his series on constructive defining. These beautiful quadrilaterals have been defined by investigation and are an interesting activity for students who believe that everything in mathematics is pre-defined and that there is nothing new in mathematics to be discovered.
Problem Corner has seen some changes over the last few issues. In a deliberate attempt to avoid a ‘camp’ approach to problem solving and to make this section more inclusive, we have a wide variety to interest our readers. Prithwijit De sets the ball rolling with his article on ProblemPosing. This is followed by Middle and Senior Problems addressed to different age groups. CoMaC presents a theorem about a triangle and a problem about a rational number; the titles are deliberately bland but these are as fun as Shailesh Shirali’s Adventures in Problem Solving.
The Review this time will certainly have you leaping to order this book: The Cartoon Guides to Calculus and Algebra, a series whose name says both all and nothing. Can such a serious subject be illustrated with cartoons? With mathematical rigour? Read the Review and I’m sure you’ll be convinced.
Our issue concludes with the PullOut — Padmapriya Shirali focuses on Large Numbers and how students can grasp this concept. I am sure that adults too will enjoy this refresher course and pick up tips on how to make this topic child- friendly and approachable. So it’s over to you now! Happy reading.…Links
University Working Paper Series
Exploring hybrid spaces through an informal science learning programme
in Azim Premji University
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This paper explores the construction of hybrid spaces through the observation of middle school children engaged in short science projects in an informal science learning programme. Hybrid spaces are not just physical structures, but refer to contexts, relationships and knowledges developed by children as their social worlds and identities merge with the normative expectations of school science. Hybrid spaces have been characterised in three different ways: as a convergent space between academic and traditionally marginalized knowledges and discourses; as a navigational space, or a way of crossing and succeeding in different discourse communities; and as a space of cultural, social and epistemological change where competing knowledges and discourses challenge and reshape both academic and everyday knowledges. (Moje et al., 2004; Barton et al., 2008). This paper characterises such hybrid paces by analysing activities of children working on short projects in the broad area of: ‘Trees, plants and insects’, during a summer camp held at the Azim Premji University. Children seemed to primarily use the ‘third space’ to navigate between different funds of knowledge and succeed in science. They developed science artefacts such as scrapbooks and a children’s magazine, and negotiated new roles for participating and expressing their developing science identities. They also brought in local knowledge and activities from their home contexts such as gardening, cooking and socialisation with members of their own and wider community. Informal settings help in the negotiation, construction and development of these hybrid spaces, and is particularly meaningful for children who otherwise see science as being alien and outside their everyday lives. Children brought different funds of knowledge into their participation and discussions from both their formal and informal experiences linked to science. Children decided their own trajectory of learning experiences in consultation with the facilitator. This paper also describes various possibilities in informal settings and learning experiences within and outside formal school settings, which help children explore and engage more deeply with their developing interests in science.
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