An AI-generated short discussion of an Illustrative Mathematics lesson to help educators prepare to teach it. The episode is intended to cover: the big mathematical ideas in the lessonthe main activities students dohow to make it interesting for young peoplepossible misconceptions and how to deal with them.

An AI-generated short discussion of an Illustrative Mathematics lesson to help educators prepare to teach it. The episode is intended to cover: The big mathematical ideas in the lessonThe main activities students doHow to make it interesting for young peoplePossible misconceptions and how to deal with them.

Professor Sir David Spiegelhalter is one of the great communicators of probability and uncertainty. His new book, The Art of Uncertainty, explains how to approach uncertainty, luck, probability and ignorance. Tim Harford talks to Sir David about double yoked eggs, the Bay of Pigs, and his top tips for politicians who want to communicate evidence and uncertainty. Presenter: Tim Harford Series producer: Tom Colls Production co-ordinator: Katie Morrison Sound mix: John Scott Editor: Richard Vadon

Same school, same grade level, same team.... very different 504 meetings! Dr. Wall highlights an important, and far too common, issue in getting the right support for dyscalculia. Become a Certified Dyscalculia Specialist today at www.educalclearning.com!

美食當前不必忍!木村拓哉代言 Simply新普利夜酵素DX睡前兩顆夜酵素 讓你睡得好代謝好 負擔起床就歸零天王級代謝配方!讓你好入睡、好代謝、好順暢-Simply新普利，夜酵素領導品牌 https://fstry.pse.is/6mpyuk —— 以上為播客煮與 Firstory Podcast 廣告 —— 一轉眼就來到今年的最後一集 自製超美味的affogato 活著要體會成就感，而不要追求成功 -- 好久不見啦！ 這集幾乎沒甚麼數學...... 沒想到這一季只錄了兩集 希望明年可以認真一點 也希望大家多給點鼓勵喔 -- 飲料可以無糖 數學要加點糖 這是一個很不數學的數學節目 -- (00:00) 開場 (00:23) 聊聊這段時間的近況 (03:18) 自製超美味的affogato (07:11) 活著要體會成就感 https://www.youtube.com/watch?v=LDJh_1tp9OE -- 節目專屬IG：https://www.instagram.com/a.cup.of.math/ 收聽連結：https://linktr.ee/a_cup_of_math --

Are your students thinking deeply about math concepts? Today we are talking about having research-based instructional strategies for math to create student-centered classrooms. We are chatting about: Why research based instruction mattersThe research Word Problem Workshop is based on How you can have peace of mind knowing that the strategies and routines you are using in your classroom are based on researchYou might also like:5 Steps to a Student Centered Math ClassChildren’s ...

National Geographic magazine recently wrote that “people in the United States eat more than 672 billion pounds of corn per year, which breaks down to more than 2,000 pounds per person annually”.Is this really true? Tim Harford investigates all the things that we don’t eat, that are counted in this number. Presenter: Tim HarfordProducer: Bethan Ashmead Latham Production co-ordinator: Katie Morrison Sound mix: Giles Aspen Editor: Richard Vadon

Musica Razionale: storie di suoni e di numeriEpisodio 5 - La congettura di CollatzDelle migliaia di congetture ad oggi non risolte, una delle più famose è quella di Collatz, di cui il matematico Paul Erdős disse: «la matematica non è ancora pronta per problemi di questo tipo». Nonostante la sua apparente semplicità, ossia che qualsiasi numero naturale, attraverso una sequenza di operazioni, arriverà sempre a 1, tale congettura affascina i matematici da decenni e, sebbene sia stata verificata per

Musica Razionale: storie di suoni e di numeriEpisodio 4 - Numeri MalvagiEsiste una successione conosciuta come Prouhet-Thue-Morse: un insieme di 0 e 1 che, se musicata e riprodotta da un computer con batteria inesauribile, procederebbe all’infinito, ben oltre la nostra esistenza. Tale successione si genera aggiungendo il complemento booleano al termine precedente ed è costituita da numeri malvagi. Ma non temete! “Malvagi" e "Odiosi" sono solo un gioco di parole che il matematico John Conway propose

We explore the audacious idea of using giant, inflatable space bubbles as a sunshade to cool Earth. From the Earth–Sun L1 point to ultra-thin reflective shells and launch concepts, we weigh feasibility, potential climate effects, and the engineering and ethical hurdles—reversibility, governance, and the risk of moral hazard—while underscoring why scientists are considering every option even as emissions reductions remain essential.Note: These podcasts are AI-generated, and sometimes AI can ma...

Sodium isn’t just table salt. In this episode we chase its journey—from ancient natron used in mummies to cutting-edge cooling in nuclear reactors, its explosive chemistry with water, and its fingerprints in distant stars. We’ll uncover how sodium powers nerves and regulates blood pressure, and share practical tips for keeping your salt intake balanced.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponsored by Embersi...

A concise journey into smooth numbers—the quiet, powerful building blocks behind cryptography, integer factorization, and big math questions. We explain what 'smooth' means, the Dickman-De Bruijn function, and how this idea connects to open problems like smoothness in short intervals and Vinogradov's conjecture, with insights drawn from Andrew Granville's work.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponsored by...

Take a headlong tour of the Sistine Chapel—from papal conclaves beneath Michelangelo’s ceiling to the controversies sparked by the Last Judgment and its restorations. We compare Vatican perspectives with widely cited sources, unpack painting techniques (buon fresco versus secco), and reveal how patronage, politics, and censorship shaped this iconic Renaissance space.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponso...

Ditch the computer chips for a journey into silicon’s natural side. From its abundance in Earth's crust to plant phytoliths that sculpt plant skeletons, and its intriguing but still-mysterious role in human health, this episode follows silicon through soil, food, water, and our bodies. We’ll explore bioavailability, dietary sources, and how silicon could influence crops, bone strength, and future health research.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please...

From Mendeleev’s predicted gaps to discovery in rare minerals, scandium hides in plain sight yet plays a big role. Discover its quirky chemistry, how it strengthens aluminum alloys for jets and sports gear, powers precision lighting and dental lasers, helps monitor refineries, and what makes it a promising player in clean energy.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponsored by Embersilk LLC

A clear-eyed, jargon-free deep dive into Saudi Aramco—from its 1930s oil explorations and the World War II–era shifts to the 1980 nationalisation, the 2019 IPO, and today’s expansive footprint in refining, LNG, and renewables. We pull from Wikipedia and Aramco’s own materials to explain how this company has shaped geopolitics, markets, and everyday life—while tackling cyber threats, environmental debates, and questions of accountability on the path to a lower-emissions future.Note: These podc...

From beaches and deserts to the chips in your phone, this episode unpacks sand—its geology, its varieties, and its vital role in our built world. We trace how sand forms, why purity matters in high‑tech manufacturing, and how a global sand crisis could reshape economies and ecosystems, with surprising stories like parrotfish contributing to white sand and the essential role of sand in glass and concrete.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-c...

From the Pantheon’s unreinforced dome to miles of aqueducts and city sewers, this episode explores how Roman engineers achieved lasting feats with limited math. We’ll uncover materials like opus caementicium with pozzolana, the genius of arches, road networks, and how infrastructure served people then and now. A look at how observation, adaptability, and solving real problems still shape modern engineering.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please doubl...

Dive into loop quantum gravity, a bold approach suggesting that spacetime itself is made of discrete loops. We’ll unpack spin networks, background independence, and how geometry becomes quantized at the Planck scale, with implications for black holes and the early universe. Then we’ll compare its predictions with observations and discuss how scientists test this idea—all in approachable terms.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any cr...

Join us as we uncover Python's origin story—from Guido van Rossum's ABC-inspired vision at CWI to the early prototypes, the BeOpen era, and the birth of the Python Software Foundation. Explore how readability, Lisp-inspired ideas, list comprehensions, and garbage collection helped shape a language that now powers everything from self-driving cars to digital art—and why Python 3.0 marked a pivotal leap forward.Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please do...