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The Severn Valley Railway is one of Britain's best known steam railways. Over much of its length, there is only a single track, with passing points at various points along the line. As with any commercial rail operation, the timetable needs to meet passenger needs and health and safety requirements. The five video tracks in this album follow the work of railway employees as they monitor and develop the service to suit passenger demand and ensure safety systems are in place. The material form ...
 
This series of videos is aimed primarily at first-year undergraduate mathematics students. It covers some of the topics which students often find hard, but which are fundamental to success in university mathematics. One example of such a topic is curve sketching, which can reveal the qualitative behaviour of a function where perhaps the mathematical expression for the function is rather impenetrable. Proficiency with curve sketching comes with practice, and it is often hard to know where to ...
 
This unit looks at Babylonian mathematics. You will learn how a series of discoveries have enabled historians to decipher stone tablets and study the various techniques the Babylonians used for problem-solving and teaching. The Babylonian problem-solving skills have been described as remarkable and scribes of the time received a trainng far in advance of anything available in medieval Christian Europe 3000 years later. This study unit is just one of many that can be found on LearningSpace, p ...
 
The STEMCAST is a semi-monthly podcast released on Mondays. It is hosted by us, Jess and Elisabeth. We talk about anything, and everything, affecting us on our journey through engineering! We also offer terrible advice to students, scientists, researchers, (etc.) and pretty much anyone that asks about school.
 
This unit is aimed at teachers who wish to review how they go about the practice of teaching maths, those who are considering becoming maths teachers, or those who are studying maths courses and would like to understand more about the teaching process. This study unit is just one of many that can be found on LearningSpace, part of OpenLearn, a collection of open educational resources from The Open University. Published in ePub 2.0.1 format, some feature such as audio, video and linked PDF ar ...
 
The Egyptians are known for being ahead of their time in comparison to some civilisations that came after them. This unit looks at how the Egyptians solved mathematical problems in everyday life and the technology they used. An understanding of this area has only been possible following the translation of the Rosetta Stone. This study unit is just one of many that can be found on LearningSpace, part of OpenLearn, a collection of open educational resources from The Open University. Published ...
 
Interested in astronomy, but don't know what you would do with an astronomy degree? Interested in majoring in science, but don't know if you want to be a doctor? We're here for you! STEMelanated pathways interviews Black, Brown, and Indigenous folks in STEM careers, STEM education, and STEM hobbies. STEMelanated pathways will also explore the history of STEM in these communities and cultures. STEM is and has always been for everyone.STEM pathways and destinations vary. Don't let anyone convi ...
 
M-theory is an 11-dimensional quantum theory of gravity which, in addition to gravitons and other particle-like excitations, includes extended objects known as membranes and five- branes. Though a complete definition of M-theory is not yet known, it is proposed as a nonperturbative formulation of superstring theory and as such is a compelling candidate for a unified theory of the fundamental particles and forces in Nature. Much has been learned about M-theory through its symmetries and its r ...
 
Mathematical Philosophy - the application of logical and mathematical methods in philosophy - is about to experience a tremendous boom in various areas of philosophy. At the new Munich Center for Mathematical Philosophy, which is funded mostly by the German Alexander von Humboldt Foundation, philosophical research will be carried out mathematically, that is, by means of methods that are very close to those used by the scientists. The purpose of doing philosophy in this way is not to reduce p ...
 
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show series
 
Geometry might be innate in the same way as language. There are many languages, each of which is an equally coherent and viable paradigm of thought, and the same can be said for Euclidean and non-Euclidean geometries. As our native language is shaped by experience, so might our “native geometry” be. Yet substantive innate conceptions may be a preco…
 
Games are an established aide in pre-college mathematics education. Meanwhile, innumerable popular books have investigated the mathematics of games. In a new edited volume for the AMS/MAA Classroom Resource Materials Series, topologist and NSF educational program director Mindy Capaldi and contributors join advanced topics with innovative lesson de…
 
Listen to this interview of Dashun Wang, Professor at the Kellogg School of Management and McCormick School of Engineering at Northwestern University, and also with Albert-László Barabási, Robert Gray Dodge Professor of Network Science and Distinguished University Professor at Northeastern University. We talk about their new book The Science of Sci…
 
Listen to this interview of Hilary Glasman-Deal, teacher of STEMM communication at the Centre for Academic English, Imperial College London, and author ofScience Research Writing For Native and Non-Native Speakers of English (World Scientific Publishing Europe, 2020). We talk about researching, reading, and writing. Hilary Glasman-Deal : "One of th…
 
In A New History of Modern Computing (MIT Press, 2021), Thomas Haigh and Paul Ceruzzi trace changes leading to the computer becoming a ubiquitous technology. Over the past fifty years, the computer has been transformed from a hulking scientific super tool and data processing workhorse, remote from the experiences of ordinary people to a diverse fam…
 
As the US contends with issues of populism and de-democratization, this timely study considers the impacts of digital technologies on the country’s politics and society. In Algorithms and the End of Politics: How Technology Shapes 21st-Century American Life (Bristol University Press, 2021), Dr. Scott Timcke provides a Marxist analysis of the rise o…
 
Nick Enfield’s book, Language vs. Reality: Why Language is Good for Lawyers and Bad for Scientists (MIT Press, 2022), argues that language is primarily for social coordination, not precisely transferring thoughts from one person to another. Drawing on empirical research, Enfield shows that human lexicons the world over are far more coarse-grained t…
 
What happens when artificial intelligence saturates political life and depletes the planet? How is AI shaping our understanding of ourselves and our societies? In The Atlas of AI: Power, Politics, and the Planetary Costs of Artificial Intelligence (Yale University Press, 2021), Kate Crawford reveals how this planetary network is fuelling a shift to…
 
Listen to this interview of Stephen Heard, Professor of Biology at the University of New Brunswick. We talk about his book The Scientist’s Guide to Writing: How to Write More Easily and Effectively Throughout Your Scientific Career, 2nd ed. (Princeton UP, 2022), we talk about writing when it's a verb, we talk about writing when it's a choice, and w…
 
The Constitution of Algorithms: Ground-Truthing, Programming, Formulating (MIT Press, 2021) is a laboratory study that investigates how algorithms come into existence. Algorithms--often associated with the terms big data, machine learning, or artificial intelligence--underlie the technologies we use every day, and disputes over the consequences, ac…
 
Pi Day is celebrated across the world on March 14. Pi Day celebrates the mathematical constant π (3.14). It is celebrated in countries that follow the month/day (m/dd) date format, because the digits in the date, March 14 or 3/14, are the first three digits of π (3.14). Pi Day was founded by Physicist Larry Shaw in 1988. We all can celebrate the sp…
 
Episode68-Rachel Lambert, "#DeleteDeficitThinking: How changing beliefs can transform our mathematics classrooms"NCSM Leadership in Mathematics Education による
 
Police use of advanced data collection and analysis technologies—or, "big data policing"—continues to receive both positive and negative attention through media, activism, and politics. While some high-profile cases illustrate its potential to hasten investigations or even solve previously unsolved crimes, and others showcase risks to individual li…
 
The discovery of non-Euclidean geometry in the 19th century radically undermined traditional conceptions of the relation between mathematics and the world. Instead of assuming that physical space was the subject matter of geometry, mathematicians elaborated numerous alternative geometries abstractly and formally, distancing themselves from reality …
 
For fans of computers and comedy alike, an accessible and entertaining look into how we can use artificial intelligence to make smart machines funny. Most robots and smart devices are not known for their joke-telling abilities. And yet, as computer scientist Tony Veale explains in Your Wit Is My Command (MIT Press, 2021), machines are not inherentl…
 
There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound con…
 
Students' success in mathematics at community colleges has been the subject of thorough quantitative research, which has reported poor overall results and described a range of explanations for them. Even as policies, course formats, and the composition of the student population have changed, success rates have remained dishearteningly low. The chal…
 
Today I talked to Helga Nowotny about her new book In AI We Trust: Power, Illusion and Control of Predictive Algorithms (Polity, 2021). One of the most persistent concerns about the future is whether it will be dominated by the predictive algorithms of AI - and, if so, what this will mean for our behaviour, for our institutions and for what it mean…
 
A true understanding of the pervasive role of software in the world demands an awareness of the volume and variety of real-world software failures and their consequences. No more thorough survey of these events may be available than Thomas Huckle and Tobias Neckel's Bits and Bugs: A Scientific and Historical Review of Software Failures in Computati…
 
Why does a clarinet play at lower pitches than a flute? What does it mean for sounds to be in or out of tune? How are emotions carried by music? Do other animals perceive sound like we do? How might a musician use math to come up with new ideas? This book offers a lively exploration of the mathematics, physics, and neuroscience that underlie music …
 
Episode65-Kristopher Childs and Shelbi Cole, "White Leaders Role in Dismantling Racism in Mathematics Education"NCSM Leadership in Mathematics Education による
 
One pervasive stereotype about mathematics is that it is objective, unbiased, or otherwise exempt from the influence of human passions. James Wynn and G. Mitchell Reyes's edited collection will be a revelation even to mathematics professionals who don't take this strict view. The essays in Arguing with Numbers: The Intersections of Rhetoric and Mat…
 
Kant developed a philosophy of geometry that explained how geometry can be both knowable in pure thought and applicable to physical reality. Namely, because geometry is built into not only our minds but also the way in which we perceive the world. In this way, Kant solved the applicability problem of classical rationalism, albeit at the cost of mak…
 
The Joy of Mathematics is based on an in-depth filmed conversation between Howard Burton and Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick and bestselling science and science fiction writer. For Ian Stewart, mathematics is far more than dreary arithmetic, while mathematical thinking is one of the most important—and ove…
 
Students and their families face a consequential choice in whether to pursue a degree, and in what area. For those considering mathematics programs, the choice may be particularly fraught: A gulf separates the exploratory and experimental mathematics done by professionals from the computational training of most secondary schools, and this can obscu…
 
Episode63-Steve Leinwand and Eric Milou, "Providing the Bold Leadership Needed to Invigorate High School Math for ALL 15 Million H.S. Students"NCSM Leadership in Mathematics Education による
 
Our universe might appear chaotic, but deep down it's simply a myriad of rules working independently to create patterns of action, force, and consequence. In Ten Patterns That Explain the Universe (MIT Press, 2021), Brian Clegg explores the phenomena that make up the very fabric of our world by examining ten essential sequenced systems. From diagra…
 
As algorithms become ever more significant to and embedded in our everyday lives, ever more accessible introductions to them are needed. While several excellent technical and critical treatments have emerged in recent years, i had not come across a book for the general public that would provide a deep sense for the intuitions and motivations behind…
 
Rationalism says mathematical knowledge comes from within, from pure thought; empiricism that it comes from without, from experience and observation. Rationalism led Kepler to look for divine design in the universe, and Descartes to reduce all mechanical phenomena to contact mechanics and all curves in geometry to instrumental generation. Empiricis…
 
Dr. Devin Swiner is an amazing scientist and scicommer! After finishing her PhD this spring, she began as a senior scientist at Merck this summer. Dr. Devin teaches us about grad school, dissertating, and going into industry in this episode. (My favorite part: when she talks about your dissertation being for you and finding new research interests).…
 
Episode62-Sunil Singh, "Broadening The Lens of Diversity, Equity, and Inclusion In Our Math Content and Pedagogy Through History/Storytelling"NCSM Leadership in Mathematics Education による
 
Dr. Rajani LaRocca has a fascinating career. From childhood she was determined to be a physician and she achieved it while majoring in government in undergrad. After years of a successful career as a physician Dr. LaRocca added children's book author as an additional career. She's also a podcaster! (STEM Women in Kid Lit) Hear about her journey in …
 
Alfred S. Posamentier's Math Tricks: The Surprising Wonders of Shapes and Numbers (Prometheus Books, 2021) has a lovely assortment of puzzles from all areas of mathematics. Some will be familiar to many readers, but there are plenty of ones I’d never seen before – and I’ve seen lots of them. Some are at just the right level to intrigue students who…
 
Math Renaissance: Growing Math Circles, Changing Classrooms, and Creating Sustainable Math Education (Natural Math, 2018) couples two educational memoirs: Student Rachel Steinig brings her experience from diverse schooling models, surveys of teachers and fellow students, and selections of peer-reviewed scholarship to an examination of math instruct…
 
Episode61-Ishmael Robinson and Peggy Nayar, "IF YOU CAN’T FIND “Culturally relevant” CURRICULUM, BUILD ONE"NCSM Leadership in Mathematics Education による
 
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