Interviews with Mathematicians about their New Books Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Mathematics

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NCSM Leadership in Mathematics Education Learning with Leaders

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NCSM Leadership in Mathematics Education Learning with Leaders

### NCSM Leadership in Mathematics Education

NCSM's Leadership in Mathematics Education Podcasts are published as part of the educational services NCSM provides members and visitors to the NCSM website -- http://mathedleadership.org NCSM - Where Mathematics Leaders Go To Learn

Professor of Mathematics Marcus du Sautoy reveals the personalities behind the calculations and argues that mathematics is the driving force behind modern science.

History of mathematics research with iconoclastic madcap twists

A series of talks and lectures from Oxford Mathematicians exploring the power and beauty of their subject. These talks would appeal to anyone interested in mathematics and its ever-growing range of applications from medicine to economics and beyond.

A selection of recordings suitable for third-year mathematics undergraduate students at university.

The following podcasts look at linear systems and the equation of a line

Today, we will answer the life long question... "When will I ever use this math when I grow up?"

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Chapter 2: Numeration Systems and Sets (Billstein/Libeskind/Lott's A Problem Solving Approach to Mathematics for Elementary School Teachers, Eleventh Edition)

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Chapter 2: Numeration Systems and Sets (Billstein/Libeskind/Lott's A Problem Solving Approach to Mathematics for Elementary School Teachers, Eleventh Edition)

Section Lecture Videos for the iPod

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 ...

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Core Topics in University Mathematics

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Core Topics in University Mathematics

### The University of Nottingham

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 ...

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STEMCAST: A Podcast About Science, Engineering, Technology, and Mathematics

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.

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Experiences of learning mathematics - for iBooks

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Experiences of learning mathematics - for iBooks

### The Open University

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 ...

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STEMelanated Pathways: Exploring paths and destinations in STEM (science, technology, engineering, & mathematics)

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STEMelanated Pathways: Exploring paths and destinations in STEM (science, technology, engineering, & mathematics)

### Jordan

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 ...

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Mathematics and Applications of Branes in String and M-theory

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Mathematics and Applications of Branes in String and M-theory

### Cambridge University

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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New Books in Mathematics

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Helga Nowotny, "In AI We Trust: Power, Illusion and Control of Predictive Algorithms" (Polity, 2021)
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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…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode66-Jim Ewing, "Positioning Multilingual Learners for Success in Mathematics"
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Episode66-Jim Ewing, "Positioning Multilingual Learners for Success in Mathematics"NCSM Leadership in Mathematics Education

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New Books in Mathematics

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Thomas Huckle and Tobias Neckel, "Bits and Bugs: A Scientific and Historical Review of Software Failures in Computational Science" (SIAM, 2019)
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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…

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New Books in Mathematics

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David Sulzer, "Music, Math, and Mind: The Physics and Neuroscience of Music" (Columbia UP, 2021)
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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 …

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode65-Kristopher Childs and Shelbi Cole, "White Leaders Role in Dismantling Racism in Mathematics Education"
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Episode65-Kristopher Childs and Shelbi Cole, "White Leaders Role in Dismantling Racism in Mathematics Education"NCSM Leadership in Mathematics Education

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New Books in Mathematics

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James Wynn and G. Mitchell Reyes, "Arguing with Numbers: The Intersections of Rhetoric and Mathematics" (Pennsylvania State UP, 2021)
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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…

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Opinionated History of Mathematics

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Rationalism 2.0: Kant’s philosophy of geometry
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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…

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New Books in Mathematics

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Ian Stewart, “The Joy of Mathematics” (Open Agenda, 2021)
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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…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode64-Peter Liljedahl, "Building Thinking Classrooms in Mathematics"
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NCSM Leadership in Mathematics Education

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New Books in Mathematics

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Vicky Neale, "Why Study Mathematics?" (London Publishing Partnership, 2020)
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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…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode63-Steve Leinwand and Eric Milou, "Providing the Bold Leadership Needed to Invigorate High School Math for ALL 15 Million H.S. Students"
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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

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New Books in Mathematics

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Brian Clegg, "Ten Patterns That Explain the Universe" (MIT Press, 2021)
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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…

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New Books in Mathematics

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Chris Bleakley, "Poems That Solve Puzzles: The History and Science of Algorithms" (Oxford UP, 2020)
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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…

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Opinionated History of Mathematics

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Rationalism versus empiricism
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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…

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STEMelanated Pathways: Exploring paths and destinations in STEM (science, technology, engineering, & mathematics)

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Dr. Devin Swiner, Analytical Chemist & Senior Scientist
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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).…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode62-Sunil Singh, "Broadening The Lens of Diversity, Equity, and Inclusion In Our Math Content and Pedagogy Through History/Storytelling"
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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

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STEMelanated Pathways: Exploring paths and destinations in STEM (science, technology, engineering, & mathematics)

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Dr. Rajani LaRocca, Physician & Author
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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 …

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New Books in Mathematics

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Alfred S. Posamentier, "Math Tricks: The Surprising Wonders of Shapes and Numbers" (Prometheus Books, 2021)
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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…

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New Books in Mathematics

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Rachel Steinig and Rodi Steinig, "Math Renaissance: Growing Math Circles, Changing Classrooms, and Creating Sustainable Math Education" (Natural Math, 2018)
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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…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode61-Ishmael Robinson and Peggy Nayar, "IF YOU CAN’T FIND “Culturally relevant” CURRICULUM, BUILD ONE"
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Episode61-Ishmael Robinson and Peggy Nayar, "IF YOU CAN’T FIND “Culturally relevant” CURRICULUM, BUILD ONE"NCSM Leadership in Mathematics Education

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New Books in Mathematics

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Satyan Devadoss and Matt Harvey, "Mage Merlin's Unsolved Mathematical Mysteries" (MIT Press, 2020)
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Sixteen of today's greatest unsolved mathematical puzzles in a story-driven, illustrated volume that invites readers to peek over the edge of the unknown. Most people think of mathematics as a set of useful tools designed to answer analytical questions, beginning with simple arithmetic and ending with advanced calculus. But, as Mage Merlin's Unsolv…

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New Books in Mathematics

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Artur Ekert, “Cryptoreality” (Open Agenda, 2021)
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Cryptoreality is based on an in-depth filmed conversation between Howard Burton and Artur Ekert, Professor of Quantum Physics at the Mathematical Institute at the University of Oxford and Director of the Centre for Quantum Technologies and Lee Kong Chian Centennial Professor at the National University of Singapore. Artur Ekert is one of the pioneer…

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New Books in Mathematics

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Freeman Dyson, “Pushing the Boundaries” (Open Agenda, 2021)
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Pushing the Boundaries is based on an in-depth filmed conversation between Howard Burton and former mathematical physicist and writer Freeman Dyson, who was one of the most celebrated polymaths of our age. Freeman Dyson had his academic home for more than 60 years at the Institute for Advanced Study in Princeton. He has reshaped thinking in fields …

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New Books in Mathematics

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James Ladyman and K. Wiesner, "What Is a Complex System?" (Yale UP, 2020)
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While i find it pretty easy to recognize when i'm reading articles in complexity science, i've never been satisfied by definitions of complexity and related concepts. I'm not alone! Researchers' own attempts to define complex systems incorporate a mix of folk wisdom and fraught assumptions anchored to a menagerie of contested examples. The field wa…

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New Books in Mathematics

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James Robert Brown, “Plato’s Heaven: A User’s Guide” (Open Agenda, 2021)
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Plato’s Heaven: A User’s Guide is based on an in-depth filmed conversation between Howard Burton and James Robert Brown, Emeritus Professor of Philosophy at the University of Toronto. This wide-ranging conversation addresses a central theme in current philosophy: Platonism vs. Naturalism and provides accounts of both approaches to mathematics. The …

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The Secrets of Mathematics

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Mathemalchemy: a mathematical and artistic adventure
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This lecture is a visual treat as Ingrid Daubechies celebrates the joy, creativity and beauty of mathematics. Inspired by textile artist Dominique Ehrmann, Ingrid, with Dominique, conceived the idea of a large mathematical installation that incorporated a myriad of mathematical ideas in an entertaining and visually stimulating way. Aided by the whi…

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The Secrets of Mathematics

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I is a Strange Loop - written and performed by Marcus du Sautoy and Victoria Gould
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From the creative ensemble behind Complicité’s sensational A Disappearing Number, this two-hander unfolds to reveal an intriguing take on mortality, consciousness and artificial life. Alone in a cube that glows in the darkness, X is content with its infinite universe and abstract thought. But then Y appears, insisting they interact, exposing X to Y…

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Genevieve Bent: Educator & Chemist
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Genevieve Bent is the associate assistant principal and head of science for her school. She's been teaching for 8 years. She also founded the initiative Young, Gifted, & STEM that works to improve the experience and engagement of groups typically underestimated in STEM. We talk about the differences in the education systems in the US and the UK, pe…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode60-Tim Kanold, "Attending to the Heart and Soul of Your Leadership Life"
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Episode60-Tim Kanold, "Attending to the Heart and Soul of Your Leadership Life"NCSM Leadership in Mathematics Education

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Opinionated History of Mathematics

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Cultural reception of geometry in early modern Europe
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Euclid inspired Gothic architecture and taught Renaissance painters how to create depth and perspective. More generally, the success of mathematics went to its head, according to some, and created dogmatic individuals dismissive of other branches of learning. Some thought the uncompromising rigour of Euclid went hand in hand with totalitarianism in…

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Kristen Reynolds, PhD Student studying Race & Technology
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On today's episode, Kristen Reynolds and talk about her full circle journey in STEM, the importance of advocating for yourself, and not being afraid of leaving a program that's not serving you or treating you well. I hope you enjoy! BTW: we do discuss police violence from minute 16 -17. We do not go into detail and I think it provides valuable cont…

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Dr. Jeanita Pritchett, Chemist & Jane of All Trades
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You can find all things, Dr. Jeanita Pritchett, on her linktree: https://linktr.ee/drjeanitapritchett Twitter: https://twitter.com/DrJeanita Instagram: https://www.instagram.com/drjeanitapritchett/ Youtube: https://www.youtube.com/channel/UCWa4vQI2cDrRWleWai46kKA STEAM FORWARD! Academy: steamforwardacademy.com Analytical Chemistry Cover: https://pu…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode59-Beth Kobett and Karen Karp, "Leading Strengths-Based Teaching and Learning in Mathematics"
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Episode59-Beth Kobett and Karen Karp, "Leading Strengths-Based Teaching and Learning in Mathematics"NCSM Leadership in Mathematics Education

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Soniael Duncan, Computer Scientist
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Soniael Duncan is a computer scientist working in risk management and compliance. Throughout her career, Soniael has been able to merge the creative with computer science and travel the world. We talk about all of this and more in this episode! Music courtesy of https://www.purple-planet.com Where you can find Soniael Duncan: https://linktr.ee/Soni…

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New Books in Mathematics

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Ellen Peters, "Innumeracy in the Wild: Misunderstanding and Misusing Numbers" (Oxford UP, 2020)
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To many mathematicians and math enthusiasts, the word "innumeracy" brings to mind popular writing like that of John Allen Paulos. But inequities in our quantitative reasoning skills have received considerable interest and attention from researchers lately, including in psychology, development, education, and public health. Innumeracy in the Wild: M…

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Dr. Kevin Morris, PhD in Biochemistry & Molecular Biology
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Dr. Morris shares great information about his experiences as a first-generation college student throughout the undergraduate and graduate application and decision processes. He also shares great information about finding funding and why choosing the University of Mississippi was a great choice for him. If you're interested in connecting with Dr. Mo…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode58-Shelly Jones and Georgina Rivera, "Culturally Relevant Pedagogy"
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Episode58-Shelly Jones and Georgina Rivera, "Culturally Relevant Pedagogy"NCSM Leadership in Mathematics Education

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Opinionated History of Mathematics

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Maker’s knowledge: early modern philosophical interpretations of geometry
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Philosophical movements in the 17th century tried to mimic the geometrical method of the ancients. Some saw Euclid—with his ruler and compass in hand—as a “doer,” and thus characterised geometry as a “maker’s knowledge.” Others got into a feud about what to do when Euclid was at odds with Aristotle. Descartes thought Euclid’s axioms should be justi…

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The Secrets of Mathematics

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Oxford Mathematics Public Lecture. Jon Keating: From one extreme to another: the statistics of extreme events
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Oxford University's Sedleian Professorship of Natural Philosophy is 400 years old in 2021. The title implies a wide range of study. Current holder Jon Keating does just that in this Public Lecture via the Olympics, machine learning & the Riemann zeta-function, the mathematical object that encodes the mysterious distribution of the prime numbers.…

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The Secrets of Mathematics

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Spacetime Singularities - Roger Penrose, Dennis Lehmkuhl and Melvyn Bragg
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We are on board the Oxford Mathematics Space Probe for this Oxford Mathematics Public Lecture as we explore Black Holes with a Nobel Laureate, a Professor of the History and Philosophy of Physics & a broadcasting legend. EvenAlbert Einstein thought Black Holes impossible. Then in 1965 Roger Penrose provided the Mathematical tools for Physicists to …

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New Books in Mathematics

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Dave Auckly, et al., "Inspiring Mathematics: Lessons from the Navajo Nation Math Circles" (AMS, 2019)
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Math circles defy simple narratives. The model was introduced a century ago, and is taking off in the present day thanks in part to its congruence with cutting-edge research in mathematics education. It is a modern approach to teaching—or facilitation—that resonates and finds mutual reinforcement with traditional practices and cultural preservation…

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Dr. Jasmine Washington, Nephrologist
44:15

44:15

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44:15
Dr. Washington is currently in the final year of her nephrology fellowship. In this episode, we chat about the challenges of moving to a different region, setting yourself up for success in medical school, and not being afraid to apply to your dream schools and jobs. We also show our alma mater, Tougaloo College, some love. The Drs. Washington Podc…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode57-Beatrice Moore Luchin, "How Do I know What They Know?"
39:24

39:24

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39:24
Episode57-Beatrice Moore Luchin, "How Do I know What They Know?"NCSM Leadership in Mathematics Education

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Dr. Tamera Hughes Pharmacist Researcher
37:07

37:07

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37:07
Today's episode is the journey of Dr. Tamera Hughes PharmD/PhD. We discuss community pharmacy v. retail pharmacy, transitions happening towards value-based care in community pharmacy to integrate pharmacists beyond the counter, pursuing a dual degree, and her work on improving care in communities of color. Music courtesy of https://www.purple-plane…

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New Books in Mathematics

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Jonas Peters and Nicolai Meinshausen, "The Raven's Hat: Fallen Pictures, Rising Sequences, and Other Mathematical Games" (MIT Press, 2021)
57:22

57:22

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57:22
Games have been of interest to mathematicians almost since mathematics became a subject. In fact, entire branches of mathematics have arisen simply to analyze certain games. The Raven's Hat: Fallen Pictures, Rising Sequences, and Other Mathematical Games (MIT Press, 2021) does something very different, and something that I think listeners will find…

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New Books in Mathematics

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Eugenia Cheng, "x + y: A Mathematician's Manifesto for Rethinking Gender" (Basic Book, 2020)
42:52

42:52

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42:52
From its more mainstream, business-focused and business-friendly “Lean In” variants, to more radical, critical and intersectional understandings of feminism, the past decade has seen a flourishing of discussion from those proposing and critiquing different schools of thought for the way we think about gender in society. Dr. Eugenia Cheng’s addition…

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Leslie Townsell - Marine and Climate Scientist
52:04

52:04

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52:04
In this episode, we discuss the career every 90s kid dreamed of after watching Free Willy, marine science! Leslie Townsell and I discuss marine science, climate change, the costs of applying to grad school, the importance of mentors, and more. Leslie is a very proud Spelman graduate whose story shows us your path in STEM can have many twists and tu…

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NCSM Leadership in Mathematics Education Learning with Leaders

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Episode56-Elham Kazemi and Tracy Zager, "Harnessing Collective Will: Learning Together but not in the Usual Ways."
35:27

35:27

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35:27
Episode56-Elham Kazemi and Tracy Zager, "Harnessing Collective Will: Learning Together but not in the Usual Ways."NCSM Leadership in Mathematics Education

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Dr. Zerotti Woods, Mathematician
46:06

46:06

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46:06
In this episode, we discuss getting a Ph.D. in math, what you can do with a degree in math (hint: it's so much), and Dr. Woods shows us that a setback isn't the end if you don't want it to be. Music: https://www.purple-planet.com Profile of Dr. Woods: https://mathematicallygiftedandblack.com/honorees/zerotti-woods/ Dr. Woods Instagram: Zerotti Wood…

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Opinionated History of Mathematics

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“Let it have been drawn”: the role of diagrams in geometry
51:12

51:12

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51:12
The use of diagrams in geometry raise questions about the place of the physical, the sensory, the human in mathematical reasoning. Multiple sources of evidence speak to how these dilemmas were tackled in antiquity: the linguistics of diagram construction, the state of drawings in the oldest extant manuscripts, commentaries of philosophers, and impl…