Math! Science! History!

Gabrielle Birchak

Why do some scientific breakthroughs look different up close than they do in our textbooks? How did math quietly shape the modern world? Math! Science! History! explores the human side of discovery, including the rivalries, the failed attempts, the bold ideas, and the marginalized voices behind the equations and experiments that changed science, technology, and everyday life. Hosted by Gabrielle Birchak, who holds degrees in mathematics and journalism, the show connects codebreaking, astronomy, probability, physics, and innovation to the world we live in today. If you enjoy science stories, historical investigations, and clear math grounded in context, clarity, and research, this show is for you. New episodes twice weekly. Visit www.MathScienceHistory.com for more information.

  1. FLASHCARDS! The Power of Self-Learning

    14 HRS AGO

    FLASHCARDS! The Power of Self-Learning

    Self-teaching is not only a way to collect knowledge. It is a life skill that builds self-reliance, career mobility, and mental flexibility over time. In this Flashcard Friday episode, Gabrielle explains why lifelong learning supports brain health and communication, how certificates can make your progress visible on LinkedIn, and why stepping outside your comfort zone sometimes means learning hard history, including the ways slavery shaped American systems. Call to action: Follow the show so you do not miss future Flashcard Fridays, share this episode with a friend who loves learning, and leave a review to help more listeners find Math! Science! History! What You'll Learn: A Brain That Stays in Training 1.      How self-teaching builds self-reliance and makes you more adaptable when work and life change. 2.      Why lifelong learning supports brain health and aging, including neuroplasticity and cognitive reserve. 3.      How learning hard history strengthens judgment and communication, and where to start with reputable books and long-form reading. Resources Brain, aging, and learning ·         Neuroplasticity persists across life ·         Later-life learning is associated with better cognitive function over time (longitudinal study) ·         Alzheimer's Association guide on keeping the brain mentally active. LinkedIn certificates ·         How to add LinkedIn Learning certificates of completion to your profile Stepping outside your comfort zone: slavery and systems ·         Edward E. Baptist, The Half Has Never Been Told ·         Ira Berlin, Many Thousands Gone ·         Ta-Nehisi Coates, "The Case for Reparations" 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🌍 Let's Connect! Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social Instagram: https://www.instagram.com/math.science.history Facebook: https://www.facebook.com/mathsciencehistory  LinkedIn: https://www.linkedin.com/company/math-science-history/  Threads: https://www.threads.com/@math.science.history  Mastodon: https://mathsciencehistory@mathstodon.xyz YouTube: Math! Science! History! - YouTube Pinterest: https://www.pinterest.com/mathsciencehistory  🎧 Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Until next time, carpe diem!

    12 min
  2. Benjamin Banneker: The African-American Astronomer who shaped D.C.

    3D AGO

    Benjamin Banneker: The African-American Astronomer who shaped D.C.

    Benjamin Banneker used math, astronomy, and publication to claim space in a country that tried to deny him authority. This episode follows his path from a Maryland farm to almanacs that carried his name across the young republic, and to the 1791 boundary survey work that helped set the lines of the new federal district. What You'll Learn 1.      How Banneker became an astronomer without a formal scientific education and why an ephemeris inside an almanac mattered so much in the late 1700s. 2.      What Banneker actually did in 1791 during Andrew Ellicott's boundary work, and why later stories about his role in Washington's design grew beyond the record. 3.      How publishing changed his life by carrying his calculations, voice, and reputation into a wider public, starting with the 1792 almanac (issued in 1791) and continuing through 1797. Resources and further reading ·         National Park Service: Benjamin Banneker and the boundary survey (Jones Point) https://www.nps.gov/articles/000/nama-notebook-benjamin-banneker.htm ·         Library of Congress: Banneker's 1792 almanac record (issued 1791) https://www.loc.gov/item/98650590/ ·         Encyclopedia Virginia: Banneker's letter to Jefferson (Aug. 19, 1791) https://encyclopediavirginia.org/primary-documents/letter-from-benjamin-banneker-to-thomas-jefferson-august-19-1791/ ·         Library of Congress: Jefferson's reply to Banneker (Aug. 30, 1791) https://www.loc.gov/item/mcc.028/ ·         Smithsonian Libraries & Archives: context on Banneker and later myths https://blog.library.si.edu/blog/2017/02/15/americas-first-known-african-american-scientist-mathematician/ ·         American Philosophical Society: Ellicott, Banneker, and boundary-survey context https://www.amphilsoc.org/news/surveyors-andrew-ellicott-benjamin-banneker-and-boundaries-nation-and-knowledge ·         PBS: Banneker overview (includes Ellicott lending books/tools context) https://www.pbs.org/wgbh/aia/part2/2p84.html ·         Smithsonian Magazine: discussion of Banneker's almanacs and cultural impact https://www.smithsonianmag.com/blogs/smithsonian-books/2024/01/04/benjamin-bannekers-almanac-of-strange-dreams/ 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🌍 Let's Connect! Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social Instagram: https://www.instagram.com/math.science.history Facebook: https://www.facebook.com/mathsciencehistory  LinkedIn: https://www.linkedin.com/company/math-science-history/  Threads: https://www.threads.com/@math.science.history  Mastodon: https://mathsciencehistory@mathstodon.xyz YouTube: Math! Science! History! - YouTube Pinterest: https://www.pinterest.com/mathsciencehistory  🎧 Enjoying the Podcast? ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Ambient Documentary by Vira Miller at Pixabay Hopeful by Maarten Schellekens at Pixabay Nature Documentary by James Carter at Pixabay Smooth Piano by Universefield at Pixabay   Until next time, carpe diem!

    25 min
  3. FLASHCARDS! Think Clearly Under Pressure

    FEB 13

    FLASHCARDS! Think Clearly Under Pressure

    Ever lose a great idea right when you need it, then wish your brain had a "save" button? This episode gives you one. In this Flashcards Friday toolkit, I share three quick prompts you can use to think more clearly, learn faster, and troubleshoot problems without spiraling. You will leave with a simple loop you can apply to school, work, and real-life conversations. What You'll Learn The System Card: How to name the system, the key variables, and the constraints, so your thinking has structure. The Cold Recall Card: How to practice producing your message without notes, especially for presentations, interviews, and asking for a raise. The Fuzzy Spot Card: How to troubleshoot like an engineer by locating the exact point things break, then making the smallest repair that changes the outcome. Resources https://pubmed.ncbi.nlm.nih.gov/16507066/ https://bjorklab.psych.ucla.edu/wp-content/uploads/sites/13/2016/04/EBjork_RBjork_2011.pdf https://journals.sagepub.com/doi/abs/10.1177/1529100612453266 https://pmc.ncbi.nlm.nih.gov/articles/PMC4713033/ https://www.wsj.com/science/biology/want-to-remember-more-make-more-mistakes-2d195a6f https://www.lifescied.org/doi/10.1187/cbe.20-12-0289 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers 🌍 Let's Connect! Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social Instagram: https://www.instagram.com/math.science.history Facebook: https://www.facebook.com/mathsciencehistory  LinkedIn: https://www.linkedin.com/company/math-science-history/  Threads: https://www.threads.com/@math.science.history  Mastodon: https://mathsciencehistory@mathstodon.xyz YouTube: Math! Science! History! - YouTube Pinterest: https://www.pinterest.com/mathsciencehistory  Until next time, carpe diem!

    12 min
  4. Victorian Thought Photography

    FEB 10

    Victorian Thought Photography

    A camera was not always needed to "capture" a thought. In the late Victorian era, a few experimenters pressed photographic plates to foreheads and claimed the developed marks were images of the mind. In this episode of Math! Science! History!, we trace the strange rise of "thought photography," why it sounded plausible in an age of new invisible forces, and what these experiments reveal about technology, interpretation, and scientific method. What Develops in the Dark What you'll learn in this episode: 1.      Who tried to photograph thoughts - How Hippolyte Baraduc and Louis Darget used photographic plates as instruments, then read the resulting traces as evidence of emotion, soul, or mental imagery. 2.      Why the idea felt scientific at the time - How late-19th-century discoveries made invisible phenomena feel newly recordable, especially after X-rays reshaped what "photography" could mean. 3.      What can go wrong (and right!) when images look like proof - Why noisy signals, chemical artifacts, and human pattern-finding can produce results that feel conclusive long before they are. Sources "Psychicones: Visual Traces of the Soul in Late Nineteenth-Century Fluidic Photography" (Nicolas Pethes, Medical History, 2016) "Imaging Inscape: The Human Soul (1913)" (The Public Domain Review on Baraduc's methods and plates) "Discovery of the X-ray: A New Kind of Invisible Light" (National Museum of Health and Medicine) 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers 🌍 Let's Connect! Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social Instagram: https://www.instagram.com/math.science.history Facebook: https://www.facebook.com/mathsciencehistory  LinkedIn: https://www.linkedin.com/company/math-science-history/  Threads: https://www.threads.com/@math.science.history  Mastodon: https://mathsciencehistory@mathstodon.xyz YouTube: Math! Science! History! - YouTube Pinterest: https://www.pinterest.com/mathsciencehistory  Until next time, carpe diem!

    18 min
  5. FLASHCARDS! Talking to Science Skeptics

    FEB 6

    FLASHCARDS! Talking to Science Skeptics

    What do you say when someone doesn't trust science? In this Flashcards Friday episode, I share practical, evidence-based ways to talk about science with skeptics, without attacking, shaming, or arguing past each other. This episode focuses on how evidence actually works, why people reject scientific claims, and how scientists and science communicators can lower defensiveness by explaining methods, uncertainty, and values clearly. If you care about public trust in science, this episode offers tools you can use immediately. Resources & Further Reading National Academies of Sciences — Communicating Science Effectively Pew Research Center — https://www.pewresearch.org Alan Alda Center for Communicating Science https://aldacenter.org Science History Institute — Evidence, experiments, and scientific methods https://www.sciencehistory.org Explore more on our website: mathsciencehistory.com To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h  Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com upport the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Until next time, carpe diem!

    5 min
  6. Hobbes vs. Boyle: Who Decides Scientific Facts?

    FEB 3

    Hobbes vs. Boyle: Who Decides Scientific Facts?

    Episode Overview In the 1660s, two towering thinkers, Thomas Hobbes and Robert Boyle, clashed over a strange new machine: the air pump. What looked like a technical disagreement about air and vacuum quickly became something much larger. This episode examines how Boyle's experimental approach and Hobbes's philosophical skepticism shaped the foundations of modern science, and why their dispute still echoes today in debates over expertise, public trust, and the role of scientists in public policy. From the invention of "virtual witnessing" to modern struggles with misinformation, this is a story about how facts become believable, and what happens when trust breaks down. What You'll Learn Why experiments alone do not create trust - You'll learn how Boyle's air-pump experiments required not just data, but carefully crafted descriptions and shared norms to make results credible beyond the room where they occurred. What Hobbes was really worried about - This episode explains why Hobbes objected to experimental science, not because he rejected evidence, but because he feared the political and social consequences of letting small groups "certify reality." How this 17th-century dispute explains modern science debates - From climate models to medical guidelines, you'll see how today's arguments over evidence, institutions, and public policy replay the same structural tensions Hobbes and Boyle exposed centuries ago. 📚 Resources & Further Reading Leviathan and the Air‑Pump - Steven Shapin & Simon Schaffer New Experiments Physico‑Mechanicall, Touching the Spring of the Air - Robert Boyle Royal Society - History & motto Nullius in verba Pew Research Center - Public trust in scientists and policy debates (Nov. 2024 report) Shapin, Steven. "Pump and Circumstance: Robert Boyle's Literary Technology." Social Studies of Science (1984) 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h   🌍 Let's Connect! Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social Instagram: https://www.instagram.com/math.science.history Facebook: https://www.facebook.com/mathsciencehistory  LinkedIn: https://www.linkedin.com/company/math-science-history/  Threads: https://www.threads.com/@math.science.history  Mastodon: https://mathsciencehistory@mathstodon.xyz YouTube: Math! Science! History! - YouTube Pinterest: https://www.pinterest.com/mathsciencehistory  🎧 Enjoying the Podcast? ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Smooth Piano for Documentaries by Universefield from Pixabay Background Royalty Free Music - Emotional Piano by NotAIGenerated from Pixabay Ambiant Clean Piano by Alfarran Basalim from Pixabay Autumn Vibes by Clavier-Music from Pixabay Now You Are Here by Sergey Cheremisinov from Pixabay   Until next time, carpe diem!

    27 min
  7. FLASHCARDS! The Patience of the Sun Dagger

    JAN 30

    FLASHCARDS! The Patience of the Sun Dagger

    The Sun Dagger on Fajada Butte in Chaco Canyon is a powerful reminder that understanding is built slowly. Long before textbooks and lab reports, careful observers tracked repeating patterns in light and season, and a community carried that knowledge forward. In today's Flashcards episode, we use the Sun Dagger as a practical thinking tool for modern life: watch first, listen second, explain last. It is a simple sequence that improves scientific judgment, reduces snap conclusions, and makes our relationships more accurate and humane. Three Flashcards from a Stone Calendar Watch first: patterns beat snapshots. - You will learn how to train yourself to notice what repeats over time, instead of overreacting to one data point, one headline, or one tense moment. Listen second: knowledge is a group project. - You will learn why strong conclusions often require other perspectives, conflicting results, and context you cannot access alone. Explain last: meaning should emerge, not be forced. - You will learn how delaying your explanation can reduce error, lower arrogance, and prevent real harm in science and everyday decisions. Links to Resources National Park Service overview of Fajada Butte and the Sun Dagger NPS article on archeoastronomy and the Sun Dagger concept 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h  🌍 Let's Connect! Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social Instagram: https://www.instagram.com/math.science.history Facebook: https://www.facebook.com/mathsciencehistory  LinkedIn: https://www.linkedin.com/company/math-science-history/  Threads: https://www.threads.com/@math.science.history  Mastodon: https://mathsciencehistory@mathstodon.xyz YouTube: Math! Science! History! - YouTube Pinterest: https://www.pinterest.com/mathsciencehistory  🎧 Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com  ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Until next time, carpe diem!

    10 min

About

Why do some scientific breakthroughs look different up close than they do in our textbooks? How did math quietly shape the modern world? Math! Science! History! explores the human side of discovery, including the rivalries, the failed attempts, the bold ideas, and the marginalized voices behind the equations and experiments that changed science, technology, and everyday life. Hosted by Gabrielle Birchak, who holds degrees in mathematics and journalism, the show connects codebreaking, astronomy, probability, physics, and innovation to the world we live in today. If you enjoy science stories, historical investigations, and clear math grounded in context, clarity, and research, this show is for you. New episodes twice weekly. Visit www.MathScienceHistory.com for more information.

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