Relatively Prime: Stories from the Mathematical Domain

ACMEScience

A mathematics podcast from ACMEScience featuring the best math stories from the world of maths

  1. 10/30/2024

    Carry the Two: Mathematics & Voting

    Sorry for the unannounced hiatus that has now lasted for four years, but our host and producer Sam Hansen has had a lot of life events and changes that led them to not be able to devote the time they needed to making the show. We are planning on coming back very soon, but until then please enjoy this episode about the Mathematics of Voting from the podcast Carry the Two made by the Institute for Mathematical and Statistical Innovation where Sam is the new Director of Communications and Engagement. Download Episode ACMEScience · RelPrimeCt2 Mix ——————– IMSI is very proud to announce that Carry the Two is back and with a new co-host, IMSI’s new Director of Communications and Engagement Sam Hansen! Subscribe:   Apple Podcasts  •  Spotify  •  RSS We in the United States are deep in the middle of a major national election, and over half of the world’s population also have elections in 2024. This is why Carry the Two is going to focus on the intersection of mathematics and democracy for our new season. In this episode, the first episode of our mathematics and democracy season, we speak with mathematician Ismar Volić of Wellesley College and Director of the Institute for Mathematics and Democracy and Victoria Mooers, an economics PhD student at Columbia University. We discuss what mathematics has to say about our current plurality voting system, how switching to preference ranking votings systems could limit polarization and negative campaigning, and why too much delegation causes problems for those pushing for Liquid Democracy.   Find our transcript here: Google Doc or .txt file Curious to learn more? Check out these additional links: Ismar Volić Making Democracy Count: How Mathematics Improves Voting, Electoral Maps, and Representation  Institute for Mathematics and Democracy Victoria Mooers Liquid Democracy. Two Experiments on Delegation in Voting Follow more of IMSI’s work: www.IMSI.institute, (twitter) @IMSI_institute, (mastodon) https://sciencemastodon.com/@IMSI, (instagram) IMSI.institute Music by Blue Dot Sessions and lowercase n The Institute for Mathematical and Statistical Innovation (IMSI) is funded by NSF grant DMS-1929348

    58 min
  2. #BlackInMathWeek

    11/09/2020

    #BlackInMathWeek

    On this episode of Relatively Prime, Michole Enjoli and Noelle Sawyer take over for Black in Math Week. They talk to Brea Ratliff and José Vilson, two Black math educators, and discuss what it’s like to be Black in math, what they would say to people making common false statements about Black students in math, and better hopes and dreams for Black students. Black in Math week is November 8th – 13th, 2020! It’s a week on Twitter to celebrate community among and uplift Black mathematicians. Check us out @BlackInMath for updates!  Brea is currently pursuing a PhD at Auburn University in Math Education. She is the founder of and CEO Me to the Power of Three and is a past president of the Benjamin Banneker association.  José is located in New York City and is the founder and executive director of EDUcolor. He is currently pursuing a Ph.D. at Teachers College at Columbia University in Sociology and Education. We talk a bit about Afrofuturism in this episode. If you’re interested in checking out more on Afrofuturism, try SpaceBox, a STEM escape room to save astronauts from a virus, and this special minizine from Bitten Magazine! Download Episode Music:Kirshmusic Transcript: Michole: This is Relatively rime Black in Math Week in the mathematical domain. I’m one of your host, Michole Enjoli. Noelle: And I’m Noelle Sawyer Noelle: We’e here as a part of Black and Math Week to talk to some Black math educators. I’m actually an assistant professor of math at Southwestern university in Georgetown, Texas. So I, myself, am a math educator, I’m from The Bahamas and I’ve also got a few teachers in my family line there. So education has got a special place in my heart. Michole: And again, Michole Enjoli, I’m a mathematician, educator ,and STEM edutainment producer. I originally hailed from Atlanta, Georgia, and Seattle, Washington, but now I’m in Ann Arbor working on my PhD in math education. I also have a lot of educators in my family and I always like to make it be known that I’m an educator before mathematician. Noelle: I talked to Bria Ratliff for this podcast and I asked her how she introduces herself to strangers. If you’re sitting next to a stranger in the before times, right. When we did that and someone and someone asked you, like, what do you do? How do you answer them? Brea: Um , generally I say that I’m a mathematics educator and can we go back for a minute? Cause the before times, and the Hunger Games was reference just really gives me life right now. (laughs) Um, that that pretty much is mathematics or STEM educator, I think is probably the best collective term for all the things that I do. And I’m involved with. I have been an administrator and a coach and currently delving deeper into research and have been a research coordinator and whatnot for a while. And I have my own business also, I’m consulting on mathematics and STEM, but at the heart of what I do, I am a mathematics educator. Noelle: Brea is in the math education doctoral program at Auburn university. Right now. She’s also the founder of Me to the Power of Three, which specializes in curriculum development and designing educational programs. They’ve done work for the Dallas Cowboys stadium and she’s a past president of the Benjamin Banneker association. Michole: And I took the time to talk to José Bilson and I also asked him, because he lives in New York city. If he’s ever on the train or walking down the street, how does he introduce himself as strangers? José: Usually I tell them my name is José Vilson. I’ve been, before this year I was a math teacher for the better part of 15 years. In addition, I am also the executive director of EduColor an organization dedicated to race, class and education, but also as a proud father, husband, and any number of other roles that I take on a daily basis. Michole: And Noelle, let me tell you, José is a dope math educator, but he’s also the founder and executive director of EduColor color. And he’s currently pursuing a PhD at Teacher’s college at Columbia university in sociology and education. But before he was doing his PhD, I thought he was already a doctor because we met a couple of years ago at the CIME conference at MSRI. So CIME is a conference in mathematics education and MSRI is a mathematical sciences research Institute. And for anyone who’s listening, I’ll say this again at the end, please follow José on Twitter. You will be enlightened every single moment, Brea: Even though Brea and José both have these really cool jobs and backgrounds, I was kind of curious Michole: What were you’re curious about? Brea: Whether or not people still make the statement that all math people are tired of hearing. Do people still respond and say, Oh, I hate math. (Laughing) Brea: I’m sure you hear that all the time. It’s, it’s, it’s still such a pervasive thought across, um, society. So I think we really have to do better about the messaging with that. Admittedly though, there is, there is some eliteism that does come with saying that you are a math person and I think we’d be lying if we didn’t recognize that. But at the same time, if we’re wanting more people to come into the mathematics space, then we have to really find ways to help them understand. There is really no such thing as a math person. That’s that is false. Michole: You know, I’ve always been a solidarity with folks who hate math. Like even though I know I personally have done well, well, I can only say that up until undergrad, but for the most part I’ve done well in math. It’s really reasonable to know why people have hard feelings around it. Now I think about a lot of the violence that can happen in a math classroom, especially, especially for Black students in America. You know, their bodies are often looked at in similar ways that we see on the streets. We think about police reform and police brutality that’s happening to Black people. Noelle: So when we talk about policing Black bodies in the classroom, like, are we also talking about the actual police here. Michole: In some instances we are. And if you were to do a quick YouTube search, which I honestly hate to put this out here to even have to put anyone to witnesses this, but you can find several videos where there are police officers, throwing Black students to the ground in a math classroom, in a math classroom. Why the police even there in the first place in these Black communities, and not even always in Black communities, you know, and we see that happening, but there’s also things happening in a way that we’re teaching math education. That’s very behavioral and policing the way that Black students show up and do mathematics in the classroom. There’s a study that I’ve read before in my own research that shows, the second grade teachers were significantly more likely to judge their Black female students’ math abilities solely on their behavior. Second grade Noelle. Noelle: Wow Michole: they said the students were getting up moving or whatever, and they’re not answering their questions all the time. We talking about second graders who were always running around, having to use the bathroom every 10 minutes. They were being policed way more in that way than on their knowledge. So me and José talked about this in relation to his work that he does with EduColor. José: In the service of Black children. I think that’s pretty much where we center so much of our work because we work directly with them and specifically talking about how anti-Blackness shows up even amongst people of color, generally, even amongst Black folks, right? The idea that for example, our pedagogies have to be super regimented and make sure everybody like, sits in rows in aisles to address those kids, make sure that they like follow whatever that, that like a champion nonsense is. And I know the name of it. I just rather not validate it, but I think, I think it’s just so fascinating because like so many of the schools that educators of color are being pushed towards now are some of the same schools that their business model is based off segregation. It’s very much like we will serve your children. We will give them resources through our hedge fund managers. But that in turn you have to sacrifice their liberties. You have to sacrifice the idea that they deserve to be able to be in control of their hands and control their eyes and control of their own voices. Like they have to sacrifice those levels of control. And it’s not to say that public schools don’t often have similar situations, but it is to say that the things that you can get away with when it’s not as accountable to the public, you’re able then to push down Black kids because you know that the general public doesn’t really care that much about Black kids humanity, as much as they care about pretending like they’ve solved some sort of gap. Noelle: And honestly, how could they have solved anything when here we are during COVID and surprise, all of these problems are even worse now. And Brea also had something to say about that. Brea: There are children every day who are just getting further and further behind academically because COVID has exacerbated this opportunity that, that we’ve had for a very, very long time. And disproportionately it is affecting Black and Brown children. It’s affecting children who are in poor communities. But the thing is we, we, we knew that. And if we, the frustrating thing is that we’ve, many of us have been trying to tell people that and talk about how we could address these issues. Well, before we got here and we’re still here, um, (sigh). Noelle: I’ve found that oftentimes people who don’t actua

    35 min
  3. 3 Scenes from the Life of Benjamin Banneker

    02/29/2020

    3 Scenes from the Life of Benjamin Banneker

    On this month’s Relatively Prime Samuel shares three scenes from the life of Benjamin Banneker. One about a clock, one about a solar eclipse projectsion, and one about a puzzle. You can learn more about the life of Benjamin Banneker by checking out the book The Life of Benjamin Banneker by Silvio Bendini which was essential in the production of this episode and it is available to borrow for free on the Internet Archive or if you prefer a physical copy your library may have it on hand and if they do not the amazing system that is Interlibrary Loan should be able to provide for you. Download the Episode Music:Chris ZabriskeRodrigonzálezGriffin Lundinᕲi̾r̾੮ Porcelai̾n Transcript: 3 Scenes from the life of Benjamin Banneker Scene 1: The Clock It was only the second timepiece he had ever seen. And, to those of us alive today, the first we would have thought of as such, as this was a pocket watch and the other a simple sundial. That Benjamin Banneker had never seen a watch before is not that surprising. After all he was a teenaged free African American man in the colony of Maryland in either the late 1740s or early 1750s. While there were a number of clockmakers who provided their works to farmers in the Chesapeake region, it will likely not come as a surprise that a family where the father is a freed slave and the mother the daughter of a freed slave and a formerly indentured servant were not among those clockmakers clients, though the family’s tobacco farm did allow them to be self-sufficient. The most likely thing is that Benjamin found a merchant or a traveler who not only owned a pocket watch but was willing to let a precocious free young black man take a good long look at it. There is no historical evidence of what exactly Benjamin did when he set his eyes upon the second timepiece he had ever seen but we can make some educated guesses. We can guess that he was able to get a good look at workings within. We can guess that he felt fascinated by these workings. We can guess his mind raced trying to understand how such workings were able to keep time so well that they could be relied upon. We can guess he wanted a clock of his own. We can make those guesses because of what we know. We know that after seeing the pocket watch Benjamin began to draw out the internal workings of gears and wheels and springs. We know he then worked on calculating the sizes and ratios needed to make a clock function correctly. And we know he used those drawings and calculations to make a clock all his own. Fashioned primarily out of wood he carved himself, up to and including the gears, the clock Benjamin Banneker designed and built at 21 worked until he died at 74. Scene 2: The Projection More than 30 years of working the farm later Benjamin Banneker learns about, and quickly falls in love with, astronomy. At first it is only through occasional discussions with neighbor and noted amateur astronomer George Ellicott, likely with some nighttime telescopic adventures. Never one to do things in half measure though, Benjamin wanted more. Which he got in 1788, when George offered to lend to him a telescope, some drafting instruments, and many astronomical texts. George also offered Benjamin lesson to help him through the texts and to learn to use the instruments. These lessons turned out to be unnecessary as Benjamin took to his Astronomical studies so vigorously that he worked through the texts before George to make his way back from an extended business trip. Benjamin did not stop with going through some texts, no he moved right on to practical Astronomy. As well he should have considering it led him, a free African American man, in the newly minted state of Maryland to publish 6 Almanacs from 1792-1797 and to have a correspondence with Secretary of State Thomas Jefferson. But those happened later, and while impressive and great achievements there is a smaller one which tells us just as much about Benjamin Banneker. Within the first year of receiving the texts and tools from George, Benjamin put to himself the task of making a projection of an eclipse of the sun. Using the tools at hand, his newly found knowledge and his skill at logarithmic calculation he completed his task which he eventually he sent it along to George Ellicott who was still away on business. George was understandably stunned that someone with whom he had left some books but not provided the lessons which should have been needed to understand them had produced such a work, so much so that the very small error in calculation the projection contained did nothing to lessen its sheen. Upon receiving George’s reply though Benjamin did not agree, he was distressed that he had made any error at all and endeavored to determine how such a thing could have happened. Which of course he did. It turned out that Benjamin was using two books, one from James Fergusen and another from Charles Ledbetter, both of which had correct methods for projecting solar eclipses but which could lead to errors if they were used in conjunction with one another. Suffice it to say Benjamin did not make further errors in projecting solar eclipses. Scene 3: Puzzle of the Dog and the Hare from from George Hopkins recorded, and solved, by Benjamin Banneker When fleecy skies have Cloth’d the ground With a white mantle all around Then with a grey hound Snowy fair In milk white fields we Cours’d a Hare Just in the midst of a Champaign We set her up, away she ran, The Hound I think was from her then Just thirty leaps or three times ten Oh it was pleasant for to see How the Hare did run so timorously But yet so very Swift that I Did think she did not run but Fly When the Dog was almost at her heels She quickly turn’d and down the fields She ran again with full Career And ‘gain she turn’d and the place she were At every turn she gain’d of ground As many yards as the greyhound Could leap at thrice, and She did make, Just six, if I do not mistake Four times She Leap’d for the Dogs three But two of the Dogs leaps did agree With three of hers, nor pray declare How many leaps he too to Catch the hare Just Seventy two I did Suppose, An Answer false from thence arose, I doubled the Sum of Seventy two, But still I found that would not do, I mix’d the Numbers of them both, Which Shew’d so plain that I’ll make Oath, Eight hundred leaps the Dog did make, And Sixty four, the Hare to take That is all the time we have for this episode of Relatively Prime. If you want to learn more about the life of Benjamin Banneker may I suggest Silvio Bendini’s The life of Benjamin Banneker which is available to borrow on the Internet Archive or you can check your local public library and if they do not have it on hand may I suggest the amazing system that is Interlibrary loan. The music on this episode is from Chris Zabriske, Rodrigo Gonzalez, Griffin Lundin, Dirty Porcelain you can find links to their work in the show notes for this episode on RelPrime.com Also I want to be sure to thank all my patrons on Patreon. Without y’ll this episode and the lat 40 or so could not have happened so thank you. If you want to support the show like they do you can head over to patreon.com/relprime and pledge whatever you can afford per episode. Finally RelPrime is licensed under a Creative Commons attribution share-alike license so you can feel free to do whatever you want with the sounds on this episode as long as you say you got it from Relatively Prime and that you license it in the same way Thank you all for listening and like the month before last and the month after this one I hope you have a matheriffic month. By y’all.

    10 min
4.7
out of 5
100 Ratings

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A mathematics podcast from ACMEScience featuring the best math stories from the world of maths