La quadratura del cerchio - Ep. 2
In questa puntata Raphael ci parla della quadratura della quadratura del cerchio
On this page
algebra
Explore "algebra" with insightful episodes like "La quadratura del cerchio - Ep. 2", "Episode 2007: Episode 2007: Michelle Cirillo & Kristen Bieda", "Episode 35 - Quantum Computers and Brahmagupta", "Mike Sperber on Functional Architecture" and "Episode 2004: Episode 2004: Jaime Diamond" from podcasts like ""Caffè ipotenusa", "Math Ed Podcast", "Math Science History with Gabrielle Birchak", "CaSE: Conversations about Software Engineering" and "Math Ed Podcast"" and more!
Episodes (91)
Episode 2007: Episode 2007: Michelle Cirillo & Kristen Bieda
Michelle Cirillo from the University of Delaware and Kristen Bieda from Michigan State University discuss their recent article, "An innovative early field experience for preservice secondary teachers: Early results from shifting to an online model," published in the Journal of Technology and Teacher Education, Volume 28 (co-authors: LaRochelle, Arbaugh).
- Article access: https://www.learntechlib.org/p/216305/
- Michelle's Professional Webpage
- Kristen's Professional Webpage
Episode 35 - Quantum Computers and Brahmagupta
Just recently the National Science Foundation awarded UC Berkeley $25 million to create a multi-university institute to create quantum computers. This will take math to a whole new level, much like Brahmagupta did in 628 CE! If you want to see more details about Brahmagupta's math, as well as other posts about the history of math and science, visit me at www.MathScienceHistory.com. And while you're there, feel free to buy me a cup of coffee to support the podcast and the blog!
To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h
Until next week, carpe diem!
Gabrielle
All music is public domain. Little Prince by Lloyd Rodgers. www.LloydRodgers.com.
Mike Sperber on Functional Architecture
Does functional programming matter? Stefan and Mike continue an interesting conversation they had on Twitter: Does the style of programming matter if you look at it from a larger distance? Mike describes two distinguishing characteristics of functional programming: Immutable data and high-level models, and how they influence the architecture of your application.
Episode 2004: Episode 2004: Jaime Diamond
Jaime Diamond from the University of Georgia discusses her book chapter, "Teachers' beliefs about how to support students' transfer of learning," in the forthcoming Springer book Transfer of Learning: Progressive Perspectives from Mathematics Education and Related Fields (Eds. Hohensee & Lobato).
Episode 2002: Episode 2002: Karisma Morton
Karisma Morton from the University of North Texas discusses the article, "Who gets in? Examining inequality in eighth-grade algebra," published in the Journal for Research in Mathematics Education (Co-author: Catherine Riegle-Crumb).
- Article URL: https://pubs.nctm.org/view/journals/jrme/50/5/article-p529.xml
- Karisma's Professional Webpage
The Algebra of Happiness
The Algebra of Happiness: Notes on the Pursuit of Success, Love, and Meaning
Book by Scott Galloway
USE code : AMP 20% off PODCAST PUBLISHER PRO - FREE GUIDES HERE AS WELL AT https://www.socialcreative.org/
Oxford Mathematics 1st Year Student Lecture - Linear Algebra II
Our latest student lecture features the first lecture in the second term introductory course on Linear Algebra from leading Oxford Mathematician James Maynard. We are making these lectures available to give an insight in to
the student experience and how we teach. All lectures are followed by tutorials where pairs of students spend an hour with their tutor to go through the lectures and accompanying work sheets. An overview of the course and the relevant materials is available
here:
https://courses.maths.ox.ac.uk/node/43829
Teacher as Fire Starter
Charlene sparks fire: smart, insightful, fearless, and driven. She is also my friend of twenty years. A math teacher at Pascack Hills High School in Montvale, NJ for over 24 years, she was awarded Teacher of the Year in 2016. Her goal for her students: give them a safe-place to fly. For herself, never stop learning and helping children. You want her in the foxhole with you.
Lars Hupel on Algebraic Design
In this episode of the CaSE podcast, Lucas talks to Lars Hupel of Typelevel-fame about algebraic design. Lars starts to explain how the expression problem views the difference between the functional and Object Oriented style of programming. He then explains the concept of an algebra – from coupling trains to CRDTs. This leads to a discussion on comprehensive and iterative thinking styles and how different styles of testing and proving work. Finally, they bring it all back to type systems.
Episode 5.03 - The Product-of-Sums Expression
Now that we've studied the sum-of-products form of Boolean expressions, it's time to take a look at the product-of-sums. This form uses logical OR's to generate zeros which are passed to the output through an AND gate.
Episode 5.02 - NAND Logic
The NAND gate outputs a logic zero only when all its inputs equal logic one. Let's explore how this universal gate can be used to implement any Boolean expression.
Episode 5.01 - The Sum-of-Product Expression
Who knew how easy it would be to derive a Boolean expression from a truth table? By following a few simple steps, sum-of-products expressions are quickly converted to and from truth tables. In addition, the SOP expression is a heck of a performer.
Episode 4.10 - More Boolean Simplifications
Because many students have trouble when trying to simplify Boolean expressions, we're going to dedicate another episode to examples of simplification. We're also going to show how sometimes, there's more than one way to crack an egg.
Episode 4.09 - Simplification of Boolean Expressions
In this episode, we take a break from proving identities of Boolean algebra and start applying them. Why? Well, so we can build our Boolean logic circuits with fewer gates. That means they'll be cheaper, smaller, and faster. That's why.
Episode 4.08 - DeMorgan's Theorem
In this episode, we add one more tool to our Boolean algebra toolbox: DeMorgan's Theorem. We then use it, along with some of our other tools, to modify an expression down to its simplest form.
Episode 4.07 - Identities of Boolean Algebra
We are familiar with algebraic laws such as multiply zero by anything, and we get zero. In this episode, we see how a Boolean expression containing a constant, a duplicated signal, or a signal being combined with its inverse will simplify...always.
Episode 4.06 - Properties of Boolean Algebra
In this episode, we bring together our knowledge of logic operations, truth tables, and Boolean expressions to prove some basic properties of Boolean algebra.
Episode 10 - Euclid's Elements
Euclid's Elements is considered one of the most foundational bodies of work in the field of mathematics. Written around 300 BCE (over 2,000 YEARS AGO!), it was a textbook that provided students the opportunity to learn most of the theories and propositions written at that time. However, even though it was groundbreaking, there was already a history of math that preceded this book, as you will find out. If you are interested in learning more about the history of math and science, please feel free to visit me at my website, www.mathsciencehistory.com!
Until next week, carpe diem!
Gabrielle
Music is public domain. Little Prince by Lloyd Rodgers. www.LloydRodgers.com
Episode 4.05 - Introduction to Boolean Algebra
Truth tables and circuit diagrams fall short in many ways including their abilities to evaluate and manipulate combinational logic. By using algebraic methods to represent logic expressions, we can apply properties and identities to improve performance.