The globally invasive Argentine ant (Linepithema humile) possesses a venom lethal to some amphibian species in the invaded range. To test the novel weapons hypothesis (NWH), the effects of the toxin on the cohabiting amphibian species in the ant’s native range need to be investigated. The invader should benefit from the novel chemical in the invaded range, because the species are not adapted, but the venom should not be effective in the native range. The researchers explore the venom effects on juveniles of three amphibian species with different degrees of myrmecophagy inhabiting the ant’s native range: Rhinella arenarum, Odontophrynus americanus, and Boana pulchella. They exposed the amphibians to the ant venom, determined the toxic dose, and evaluated the short-(10 min to 24 h) and medium-term (14 days) effects. All amphibian species were affected by the venom independently of myrmecophagy. In addition to amphibian sensitivity, the researchers discuss how the differential Argentine ant abundance and density in the two ranges could be the key to the susceptibility of amphibians to the venom, resulting in the possibility of NWH. Their results confirm the potential magnitude of the impact of the Argentine ant in successfully invaded areas for the conservation of already threatened amphibians.

Mathematical Loops: The March 2023 issue of AtRiA takes on a (S)trip with a Twist! Enjoy the journey!

पाठशाला का पन्द्रहवाँ अंक दो विषय क्षेत्रों- सामाजिक विज्ञान व इसका शिक्षण और स्कूल में भाषा सीखने की प्रक्रियाओं पर केन्द्रित है। अंक में कुछ लेख इस बारे में जागरूकता पैदा करने के लिए हैं कि सामाजिक संरचना हमें और हमारे काम को कैसे प्रभावित करती है। कक्षा अनुभवों पर आधारित लेख हमें यह समझने में मदद करते हैं कि बच्चे जटिल सामाजिक विचारों से कैसे जुड़ सकते हैं। बच्चों के साथ गहन अनुभवों पर आधारित लेख प्रारम्भिक भाषा शिक्षण और पढ़ना सीखने-सिखाने में मदद करते हैं। 

This Fifteenth issue Pathshala is focused on two areas; Social Sciences and its teaching and processes towards learning language in schools. Some articles included are to build awareness of how social structure affects us and our work. The articles focus on classroom experiences and help us understand how children can engage with complex social ideas. The articles based on rigorous experience of children also help them engage with early language teaching and reading.

This report examines the changes in the producer company landscape in the last two years by analysing data on producer companies registered in the country from April 1, 2019 to March 31, 2021. The report examines changes in geographical spread and capitalization of producer companies in the last two years, in order to determine the extent to which the gaps in the previous promotion efforts have been addressed. It also analyses recent policies to understand their impact on the producer company ecosystem. The report identifies five focus areas to enable the sector to reach its full potential in enhancing the incomes and reducing the vulnerabilities of small producers.

पाठशाला भीतर और बाहर का ग्यारहवाँ अंक, गणित पढ़ाने और सीखने पर केन्द्रित है। इसमें, गणित और संस्कृति, प्रारम्भिक वर्षों में गणित पढ़ाना ​‚गणित के प्रति डर व इसकी उत्त्पति, गणित शिक्षण में ठोस सामग्री का उपयोग और गणितीय सोच विकसित करने के तरीकों और उनकी पड़ताल करते लेख शामिल हैं। हमेशा की तरह इस अंक में भी स्कूली शिक्षा के विविध आयामों पर कुछ और लेख शामिल हैं। 

The March issue of Pathshala is focused on Teaching and Learning Mathematics. There are article exploring mathematics & culture, teaching mathematics in early years, fear of mathematics & origin, concrete material and developing mathematical thinking. As always you also have articles on different dimensions of school education.

Enjoy the magical mystery tour of Mathematics with an in-depth read of the March 2022 issue of At Right Angles. 

Our bi-annual publication in Hindi bringing together the experiences and views of teachers in the field of education.

This working paper develops an understanding of how learning outcomes are derived from aims of school education and their characteristics, and proposes an approach to designing an effective lesson plan. 

Isn’t mathematics simply divine? Not an unexpected line from the At Right Angles team but one that we will back up with our Features article from the March 2021 issue: Geometric Constructions from the Sulvasutras. It’s an incisive dive from there to the Utilitarian Math World but your disillusionment will be healed with delightful articles on understanding some of the whys of procedures and rules in mathematics such as the divisibility rules, the square root algorithm, the formula for the median and the folk method to find the height of a tree.

We bring you a new first with this issue: for the first time, AtRiA goes beyond its covers with three additional articles available only in the online mode. A big shout out to the numerous submissions which enable us to take this leap.

Do revert with your feedback on AtRiA.​editor@​apu.​edu.​in

Eighty-seven percent of agricultural households in India are small and marginal producers, cultivating small plots which generate low returns. Their average monthly income is Rs 6426, making farming on small plots economically unviable (NSSO 2014). Therefore, policy makers and practitioners are turning to producer collectives as a means for improving the economic situation of small producers.

Vision 2020 – As we move into the 9^th year of AtRiA’s existence, we refocus for clarity. The March 2020 issue talks about Breaking Down Barriers: A Mathematical Approach. Launch right into the how and what with B. Sury’s article on Tiresome Paths, Water Gates and Euler’s Formula. But there’s more than networks and circuits here, starting with this issue, we will be focusing sharply on the challenges and difficulties of the average mathematics teacher and hoping to share and discuss strategies to help those who struggle with the nature and pedagogy of mathematics.

We have some wonderful material to draw you in- Conversations on the Greatest Common Divisor, Trials with Triangles, Impossible Triangles on Dot Sheets and some great Search Problems for the Middle School to mention a few. We start a new section called ViewPoint and continue with our photo series Captured Mathematics. TechSpace features the free dynamic geometry software Robocompass and our PullOut is on Angles. Our review this time is on the Mathematics of India.

The March 2019 issue is packed with articles for students, teachers and teacher educators of all classes. Striking results are not just reported, they are also explained and justified with proofs. And our sources vary from students to observations from colleagues in mathematics classrooms and mathematical tricks from websites- these are explored and explained.

This issue of AtRiA welcomes you to the Math Village. Where house numbers, rangoli patterns, piles of fruit and even a child’s amusement device speaks to the instictive mathematician in each of us.

Read about these in Triangular Numbers in Features and the House Number Problem in ClassRoom. Appropriately, many of these problems were prompted by Ramanujan in his village. The Review is of a book which was used to teach a pre-course at the School of Arts and Sciences, Azim Premji University and it syncs perfectly with the theme of finding mathematics in the most unexpected places.

Hone up on how to create a Conjecturing ClassRoom or generate Elementary Cellular Automata! Misconceptions in Fractions and an analysis of common errors in Algebra give an insight into students’ struggles with mathematics and the PullOut, too, focuses on Algebra and how to make a seamless move from Arithmetic to Algebra.

It is different for each one of us which is why when people reminisce about their school, opinions can differ about the same subject or teacher. The teacher, for her part, also has unique relationships with the class she goes to. It is a dynamic, organic process. The same concern, involvement and thoughtfulness that was evident in the experiences recounted in the first part are present in the narratives of this Issue too.

The Art of the Matter — can a picture be a powerful pedagogical tool? At Right Angles believes it can, and if you read the write up on the facing page, I’m sure you will agree with us. Going to the heart of the art is key to mathematics and there’s more of the same inside this issue. We begin with Ramya Ramalingam, a sixteen-year-old school girl, unravelling the mysteries of Knot Theory for us. And Haneet Gandhi picks up where her series on Tessellations stopped, with a fascinating article on tiling and the pictures we can create with different combinations and permutations of polygons.

In the Classroom section, Khushboo Awasthi opens up the Square Root Spiral with a series of investigative questions; Ujjwal Rane proves Fagnano’s Theorem in several innovative ways. CoMaC describes an unusual way to bisect an angle and also manages to pull yet another 3−4−5 triangle which has long connected math with art pops up in Kepler’s triangle — read more about it in Marcus Bizony’s article. And in How To Prove It, Shailesh Shirali uses Ptolemy’s theorem to reveal all kinds of fascinating relationships in cyclic quadrilaterals.

Tech Space features the first part of a two-part series on constructive definitions; Michael de Villiers shows you how to do so with a GeoGebra activity centered on the golden rhombus. Truely cutting edge math pedagogy!

Our review this time is by Kamala Mukunda who shares her views on Liping Ma’s classic Knowing and Teaching Elementary Mathematics. This is a must-have for every school library and a must-read for mathematics teachers of all classes.

Finally, it’s Time — this Pull Out by Padmapriya Shirali will give you several new ideas to introduce this all important concept and help students quantify something which impinges on their consciousness long before they come to school.

The starting point of this Issue is Mahatma Gandhi’s Nai Talim which he envisaged over many years and made available in 1937. Children learn by making and doing, and it is by relating these two to the larger context that the understanding of the whole picture emerges. It is this larger picture that this issue has attempted to present. This issue also explores the relevance of Nai Talim in the India of today. The explorations are on the idea of Nai Talim and the overall visions of a ​‘good society’, rethinking Nai Talim in the light of the NCF of 2005, as well as in the present context.

The lead feature in the March 2015 issue of AtRiA is based on the theme Proof Without Words. In the Review section, Mark Kleiner discusses Edward Frenkel’s Love and Math — the Heart of Hidden Reality. Thomas Lingefjard, in his article Learning Math with a DGE system, addresses a pressing need of teachers using technology in the classroom. This issue features a new author Ali Hussen whose article weaves in algebra, geometry and arithmetic. It also introduces a new series on Low Floor High Ceiling activities.The pullout continues on the Teaching of Geometry (part ii).

This issue of Learning Curve centres attention on the subject of ​‘school leadership’. It defines the construct and scope of educational leadership, ruminates on whether a school leader ought to be an academician or an administrator, reflects on the challenges of school leadership and explores the forms of school leadership in India.

This issue of Learning Curve is cantered on the subject of Mathematics. While one article discusses the very nature of Mathematics, the other traces the history of the subject; similarly while one describes the pedagogy of the subject the other shares insights and the practical perspective of the teacher.