Metabiology and the complexity of natural evolution

Metabiology and the complexity of natural evolution

In his study of metabiology, Arturo Carsetti, from the University of Rome Tor Vergata, reviews existing theories and explores novel concepts regarding the complexity of biological systems while demonstrating the role of information processing and mathematical reasoning. On the basis of what is claimed by Gregory Chaitin, he perceives evolution as a hill-climbing random walk in software space, making biology mathematical […]

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How do I choose? Teachers making sense of pedagogical responsibility

How do I choose? Teachers making sense of pedagogical responsibility

Doctoral candidates Grace A. Chen and Samantha A. Marshall, and Dr Ilana S. Horn, Professor of Mathematics Education, from the Department of Teaching and Learning at Vanderbilt University Peabody College, are investigating how teachers make sense of their pedagogical responsibility. During the course of their research, they record a conversation among teachers triggered by the question ‘for what?’ they teach […]

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Discovering perfect squares and building square roots

Hand writing out square root problems

Mathematicians have been faced with the problem of finding perfect squares and their roots since ancient times. Recent findings in computational number theory have enabled the development of efficient algorithms for discovering square numbers. Professor Philip Brown from the Department of Foundational Sciences (Mathematics) at Texas A&M University Galveston Campus has developed a new algorithm that can detect a perfect […]

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Human learning: A story of identity and communication

Human learning: A story of identity and communication

Anna Sfard is a Professor Emerita at the University of Haifa, Israel. In her role as a learning scientist, she investigates relations between thinking and communication. Linking learning with the notion of identity, her work has already provided several innovative acumens including understanding how identities encompass culture in learning processes; the identification of emotions as a principal factor responsible for the […]

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Will an old problem yield a new insight? Perhaps an elegant proof of the 4-colour theorem?

The 4-colour problem is one of the most famous mathematical problems. It resisted proof for more than a hundred years before finally succumbing; in the end, there was a valid proof, but one that relied on more than a thousand hours of computer time. Jim Tilley’s research suggests that a dramatic simplification might ultimately be possible. He has discovered a […]

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Evaluating students’ perceptions of the roles of mathematics in society

Mathematical models Toshikazu Ikeda Research Outreach

Toshikazu Ikeda, Professor of Mathematics Education at Yokohama National University, has found that while mathematical modelling is often evaluated with respect to mathematical attributes, little academic consideration has been given to the non-mathematical viewpoint. To fill this knowledge void, he has developed an analytical tool to evaluate the changes in students’ perceptions of the roles of mathematics in society following […]

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A needle in a haystack – the future of big data

A research article about how to structure large sums of data effectively

Dr Yang Feng is Associate Professor of Statistics at Columbia University. His research aims to structure, into a useful form, the voluminous data available from many areas of science, humanity, industry and governments, like social networks, the study of the genome, understanding economics or finance and health sciences. Using network modelling, he has focused on novel ways of detecting “communities” more […]

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