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Inclusive Math Instruction

Apr 16, 202544 minEp. 389
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Episode description

Undergraduate math courses, as traditionally taught, often serve as barriers to entry into many STEM disciplines. In this episode, Aris Winger joins us to discuss strategies that can increase student success and reduce equity gaps in student outcomes in these classes.

Aris is an Associate Professor of Mathematics at Georgia Gwinnett College. His current areas of interest include equity in mathematics education, culturally responsive teaching, and social justice mathematics. He is a co-author of the book series Advocating for Students of Color in Mathematics and is the Executive Director of the National Association of Mathematicians.

A transcript of this episode and show notes may be found at http://teaforteaching.com.

Transcript

Undergraduate math courses,  as traditionally taught, often serve as barriers to entry into  many STEM disciplines. In this episode, we explore strategies that can increase  student success and reduce equity gaps in student outcomes in these classes. Students planning to enter STEM disciplines are often deterred by difficulties in Thanks for joining us for Tea for Teaching, an informal discussion of innovative and  effective practices in teaching and learning.

This podcast series is hosted by  John Kane, an economist... ...and Rebecca Mushtare, a graphic designer... ...and features guests doing important research and advocacy work to make higher education more  inclusive and supportive of all learners. Our guest today is Aris Winger. Aris is  an Associate Professor of Mathematics at Georgia Gwinnett College. His current areas of  interest include equity in mathematics education,

culturally responsive teaching, and social justice  mathematics. He is a co-author of the book series Advocating for Students of Color in Mathematics  and is the Executive Director of the National Association of Mathematicians. Welcome Aris. Thank you for having me. It's great to see you again. You  were here not too long ago to do some workshops on our campus. Today's teas  are:... Aris, are you drinking any tea?

Oh, I am not drinking tea. I'm drinking water.  Yeah, my family is a big tea drinking family, but I'm just a water drinker. That's okay, water is the foundation of tea. Yeah, that’s right. I'm drinking Blue Sapphire today, John. Back to an old favorite. It is, yeah. And I am drinking Lady Grey. Oh, nice, I had that not too long ago.

Excellent. So in most colleges and universities, passing rates in math classes are lower than  most other disciplines, and we've invited you here today to discuss strategies that would  allow more students to be successful in the study of math. First, though, can you tell us a  little bit about your own educational journey? So yes, I was valued in math from  my earliest mathematical memory, and so my earliest mathematical memory was  with my mother, who was showing me the future.

I remember going up to her and, like, “Mom,  look, two plus three is five.” She was like, “soon you'll notice that two and she put an x 3  is six.” I was like, “What's that?” She's like, “You'll see.” And then from there, like, early on,  I was doing two-digit multiplications faster than other people. And then the teachers around me were  like, “Oh, you're good, you're fast, you can do this.” And so I say, “Oh, I guess I can.” And so  I started to develop sort of a math identity. That

is to say that it became part of me to be, quote,  good at math. And I kept that for a long time. And when life got rough for me, when I was younger,  I could always go to math and be safe at math, because I felt an identity. I felt good there,  I felt valuable in mathematics. And so it just became a deep part of my identity. So that meant  that I was going to major in math. That meant that I was going to be a mathematics professor the  whole nine. So I continue to go back and look at

that story to see my through line. And I've had  to change the story, by the way. It used to be, in this journey that I've had, I've had to change  the story also, because the story used to be, “Oh, I'm just smarter than other people,” when, in  fact, the story really was that I've been trained. And really making this understanding that not that  drinking the Kool Aid, that somehow I'm ordained to have a mathematical brain, I've been trained,  and I deserve to say that I was trained, because I

put in a lot of work. And so if a surgeon can say  they were trained, a mathematician can say that they were trained also, and so for 10 years, from  1995 to 2005 I got a bachelor's, master's and PhD in mathematics. That 10 years was training. A very large share of students that we see in college say “I've never been good at math”.  Why do so many students come in struggling with math or believing that they're not  capable of being successful in math?

Yeah, well, it's because they've had mathematical  experiences that weren't optimal for them. And so there's a narrative that I want to interrogate,  and I'm thankful for this opportunity to speak out, an interrogation of a narrative that we have  to call into question. And so it is this notion that somehow math has done something to us and  math has done nothing to us. So when someone says that they hate math, they're not talking about  the body of knowledge that's the greatest body

of knowledge in history of the human experience.  They're not talking about that. They're talking about a human relational experience they've had in  the culture of mathematics that humans have built about how we do math, particularly in the western  context. And so whenever someone today says, “Oh, I hate math,” then I just say, lots of my  colleagues say, “Oh, I'm sorry that happened

to you.” I just say, “Who was it? What grade? Tell  me what happened.” And then often they will say, “Oh, it's this person, here's what they said to  me,” or “here's why I didn't like this class.” Lots of times they also say it was when the letter  showed up. And so for me, what helps me is that

I try to return to the innocence of the person  that is talking to me. So when someone says that, I'm thinking about a kid sitting in the chair  and then all of a sudden, they've been doing percentages, they've been doing proportions, and  then all of a sudden someone writes an X up on the board and says, I want to know what X is.  And for some reason, it blows this person away, like I have no idea what's going on. And that  person starts to, maybe for the first time,

feel unsure, feel like they don't belong. Now,  there are all these feelings that are showing up that never got attended to. And we know in  this discipline, the way that it is taught, that that cascades, because then this builds on  the next thing, which builds on the next thing, and then all of a sudden you find yourself, “Whoa,  I gotta get out of this thing.” Now, the tragedy that we have in our society is that we have lots  and lots of our young people who are getting out

of the discipline of mathematics, and it's the  most important, right? And so that's the tragedy, that's the crisis, that we have so many people  leaving our discipline. And so I want to be clear, that doesn't mean that everyone needs to be a math  major. That means that the world that I dream of

is one in which we're all connected and thriving  quantitatively. What does that mean? That means that we are allowing ourselves, or we have the  permission, to ask quantitative questions like, “Why does that cost that much?” and “is that  the right percentage rate for my mortgage?” and “why don't I want that payday loan?” Right now  we have so many silent people quantitatively, because the predominant space in which we think  quantitatively is in school, and so in school,

school mathematics, systematically, is about  some other narratives that we continue to uphold, like speed and correctness, and it doesn't allow  for the imagination to grow. So the answer to your question is that these experiences, when we  see the people today in our colleges, they are, in terms of math, they are an extension of a past  experience that is over a decade long. And so I want to return all of our kids back to that,  in a sense, to “Wait, you know, you've had a

math experience that has been difficult.” And for  me, one of my goals is to create a new narrative for those people who come into my class, and  not just for them. And so if I can get a young person or old person, whoever's in my class, to  think differently about math, then maybe they get their cousin to think differently about math  and their little sister. And because, again, you never know who's watching and who's going to see  how you interact and how that impacts them.

You've talked about our individual  experiences with math and how much they vary, and they vary across elementary and  secondary school districts as well. What can college math instructors do to help  address these inequities in prior knowledge? The first thing I would think of is that each  college instructor needs to look at each of their people as an individual. And so for me,  for so long, I would go to my pre-calculus class

or college algebra and say, “Okay, I'm teaching  that group,” and that was 11 years ago. And today I go in and I'm saying, “Oh, I've got Sammy,  I've got Mark, I've got Jamal, I've got Lisa, I've got Tiana, right? I've got this group of  people, and I'm teaching this subject today. Given who I have in my class, what should I be  doing today? And how should I do it today?” And so there is a returning, or perhaps introducing,  for the first time, a humanity of the people who

are in my class. And so that's the first thing.  Just acknowledge that you're teaching a group of human individuals Now, from there, there's  an acknowledgement that you yourself come from a culture, come from an experience, and  that that's going to impact the way that you

teach. And so then, now, at this point, how is it  that we can develop a good relationship between yourself and the people who you're going to  be engaging with for the next 14, 15, 16, weeks in this discipline, and then thinking about  also this balance between your relationship with those people and the content, and which one  comes first. And so for so long, it's like, “Oh, I gotta get through this. I gotta get through  this. I gotta get through this topic, this topic,

this topic, this topic.” And the thing that  keeps me up at night is that, in our discipline, there's a crucial question that's lacking in our  discipline still, and it is the question I think we have to ask ourselves, is, “How do my students  feel?” Somehow, the question of how my students feel when I give back assignment and it's marked  up with red, or if Pearson MyMathLab says that, “No, that's incorrect,” and they've been working  on it, or if they're in ALEKS and they've been

working on a topic for 35 minutes, and ALEKS  says, “You know what, I think you should move on.” How that makes them feel? Or maybe a policy  that I have of no late homework, even though they have two jobs, all of that. How is it that what  I do in a space where I have all the control, how does it make my students feel? And then to  rectify that with how I want them to feel learning the greatest discipline in the history. Now we  know how I want them to feel. I want them to feel

curious. I want them to feel empowered. I hold  knowledge that I'm trying to convey and explore, for them to be super powerful, super engaged and  literate quantitatively. And so I want all these positive emotions, and yet all these negative  emotions are happening. And so part of my job as a professional, I see, is to try and ease that  tension, to have them try and learn it, but also

for them to feel joy, to feel curiosity, to feel  great about themselves, right? And so I was at the joint math meetings, and I was giving a talk, and  at the end, I was talking about feedback forms, that you've got to get feedback from your students  in order to understand what's going on with them, because you don't understand what's going down,  that was the bold claim I was making as a teacher.

A person in the audience at the end said “I wanted  to push back.” Now I love pushback, because lots of great things come out of pushback, just like I  want to push back. And I was like, “Okay, great.” And then he says, well, sometimes you shouldn't  listen to their feedback, because I had a student, and we were in class, it was a class of five, and  we went through the whole semester, and I could tell they hated the entire experience, but then  they came up to me a semester after this semester,

came up to me and said, “I hated every moment of  your class, but I learned all the material.” And then he said, “that's the reason why we should  ignore our students’ feedback.” And then I responded to him. But then afterwards, after the  talk was over, I went out, and he pulled me aside.

It's like, “See I did my job.” And I said, “But  wait, so this person got all the content from you, but this person hated every moment in this  class, and you think you did your job,” and to anybody who's listening, that if students got  all the content but hated every moment of it, then we haven't done our job. And that, I want  to imagine us doing mathematics and them getting

content in connection to the greatest discipline  and being who they are, loving every moment. And that's the dream, and that's hard, because when  you get back a C minus, how can we have someone have joy and get a C minus? And these are hard  questions. I don't claim to have the answers to these, but again, this is tension, but we have to  continue to dream, because we have in our hands, we have in our expertise, this great discipline  that we have to continue to pass on to people,

but pass on to people in joyous ways. Given the diversity in what students come into our class knowing, though, it's hard to come up with  a method of instruction that provides sufficient support for all students while still helping  them learn more. How can you build that… No, no, what you just said is false. Now, it might  be true that we have not been able to do it yet. So what you just said, I respectfully disagree. I  think that what you said is true if we continue to

do what we've been doing, there's no doubt about  that. And so that's what I mean about dreaming. And so I've come on to this podcast to dream with  you. And so when you dream, you can't say stuff like that, because then there's no openness to be  like, “Okay, wait, how can we do something else?” I agree with you that if we keep doing what  we're doing, then… and so let's unpack that. That means that I go in front of somebody, I go  in front of a class, and this happens to all of

us. It's a great problem. You go in front of the  class and mathematics, the way it is built now, says that, “Oh, you must have prerequisite  knowledge.” And so that means that we think of math in school as a body of knowledge, more  than a natural human activity. And this tension, we have to make sure we elucidate and make clear  that we can think of math as a body of knowledge, or we can think of it as a place where people get  to play. Now, in one of those with the natural

human activity, everybody just needs to come,  explore, think about mathematic questions. This is the math circles space where you just play.  You make it an introductory question, and it's set up so that there are multiple entry points,  and you just go after it, and then you have someone who's facilitating, who's valuing every  single contribution. Notice I didn't say answer,

every single contribution. Or you can think of our  discipline as this compendium of knowledge, where, over the last, however, many centuries since the  dawn of humanity, we've been collecting all of these mathematical facts into one big thing  that, again, is the biggest dossier of human knowledge that humans have. But if you think about  it that way, exclusively, then when you come into pre-calculus, then when I look at you, then I'm  thinking, “Do you know enough college algebra?”

And if I do that, then I'm being exclusionary  from the jump. The first day of class, we're being exclusionary subconsciously, to  all of our students, to some of them, right?

You interrupted me in the middle of the  question. The next part I was going to ask, I think, would get to the points that you're  making, that we want all of our students to be successful in developing their knowledge, but  given their differences in backgrounds, what are some strategies we can use, perhaps to leverage  peers in class, or in other ways, to help provide that sort of support for all of our students,  no matter where their starting point is?

I think that's a great question, and it's true  that given if–then statement, if the if I call in the question, I will not hear the then. So  yeah, that's why I interrupted you. So what we have to do is, again, we have to change the  narrative of what a teacher thinks. And so now, and I'm about to get into trouble, stepping all  the way back, the challenge with our students in

mathematics is really a challenge with our  professors. And so this means that there are lots of us who are superbly comfortable,  who have lifetime jobs with tenure, who have been successful in quotes. What does that mean?  That the way they think about success has been, “Oh, I've had five to 10 students come back  and say, ‘That was a great experience. I have

students who are going to graduate school. I  have students who are doing research.’” And so the revelation for me was, wait, I've had hundreds  of students, and I've gotten dozens of feedback, and I'm using the dozens of people… like you  only hear from the people who are doing great,

because the people who don't like you aren't  going to tell you to your face, right? And so I've had biased feedback and like, “Well,  wait, what happened to this person, this person, this person, the person I don't even remember, was  I really serving them?” And I actually don't know the answer to that. And so there's something about  each of us as professors completely being rigorous

about how we teach and critical of the way we  teach, so that we continue to use new methods. And so this is happening in our discipline, where lots  and lots of people are now doing active learning, lots and lots of people are doing less lecture.  And so this is not a critique on lecture. It might be a critique on lecture with five people, or it  might be a critique on lecture with 300 people.

But again, like if you're lecturing to 300 people  for however long, how do our students feel? Later today, I'm doing some stuff with Math for America,  and last year, when I did some stuff with them, I had a person and I'm gonna ask whether this is  similar for them tonight, who has 35 students in 45 minutes, Monday, Wednesday, and Friday. And  that person has said, “Well, I can't do anything but lecture, I've got to get the content out.” And  this is in the context, of course, in K through

12, where you might have your state forcing you to  make sure you do well in the course tests. And so they're under so much pressure. But again, as we  imagine, I've seen people do active learning with 35 people in 45 minutes, and so that's something  that you just have to try. So the first thing I want to say is that, what have you been doing?  Have you gotten the feedback that it's working? What are the grades look like in this system  and continue to try new things. And so you're

not going to do stuff overnight. The thing that  I don't want to see is that you're doing the same thing you've been doing the last 25 years. That we  can't have. And so I am making a call of action to our professoriate to try something new, be bold,  and what better time to do it is when you can't be fired. We have a lot of anti-tenured, tenured  people, in the sense that a big part of the point of getting tenure is to then explore, say what  you feel, to not be put in a box. And then that's

sometimes when we become the most conservative.  I do want to shout out, though, our lecturers and vital faculty, the visiting, the instructors,  the tenure track, the assistant professors, and so forth, that are also thinking about  these things, who don't have the job security, who may not have the ability to be creative in the  classroom also, because then they might be judged for it, or say, you know, “You can't do it that  way and don't have that job security, also.”

As someone outside of mathematics, it seems  to me like there's a role for faculty in other disciplines to play here as well, because there's  a lot of fear mongering around math, I think, from other disciplines and things, maybe from  their own mathematical experiences. But I know, as a designer, I'm constantly helping  students try to find some relevance to the math so they're not so scared of it,  because I think it's really important for

their work in just about every discipline. Yeah, I think there's a big disconnect between mathematics and all the other disciplines.  And again, to your point, I think it's because everyone has their own walk with mathematics,  and oftentimes it's not a positive. So that means sometimes we get advisors outside of math who are  saying, “Oh no, no, don't take that. You don't need that extra math class.” Or we get people who  are just like, “Well, let's just get you through

math as quickly as possible,” or whatever. For  me, that just means we need to be having more conversations like, “What does it look like?”  I'm dreaming again. What does it look like for a designer to sit down with a math professor, or the  two departments to sit and talk together and say, “Okay, well, what do you want mathematically  for our students? What do you want design-wise, for our students? How do these things intersect?”  And so we've been in a silo, mathematicians for

a while. People just leave us alone. And now  we see what's happening. Math departments are closing. People are losing majors because now  we thought that we could just do our own thing, serve, have our majors, but now people are  really starting to ask the question, “Well,

wait, the way that you're teaching. It doesn't  feel like it's so relevant.” For too long, we've asked, “Well, how am I supposed to use the  quadratic equation in real life?” And actually, I don't think we properly responded to that,  because I think the proper response is that, “Oh, solving the quadratic equation is useful  in cognitive agility in this way, this way, this way. And in addition to that, you're right,  right?” Yeah, that like “Doing this exercise is

helpful in these ways, and you probably won't  see it in the future.” And so that's why we made quantitative reasoning, that's why we have  these other courses. But that took us a very long time to do that, to actually respond to people,  like my school didn't even have a quantitative reasoning class until finally, we looked at  all the DFW rates and it was just like, “Well,

we have to do something else.” Now, what happened  there was this movement from college algebra to college algebra and quantitative reasoning didn't  have to happen, but it was a “Wait, we're not moving on college algebra. At some point we think  college algebra has to be this. And therefore, if you want these people to succeed, then we have  to create this whole other space for them.” Again, as I dream, I would imagine that mathematicians  as teachers would say, “Well, wait, maybe we could

teach it differently,” but we didn't do that.  But I think lots of times, mathematicians and math faculty are movable objects like “No, it has  to be taught this way.” And then very few people outside the discipline can come up to it and say,  “Well, no, can't you change?” And them saying, “You can't change, because it has to be like  this. We're the experts.” But when I also think

about other disciplines, I get jealous. Yeah. I  mean, because, like, other disciplines get to talk about the great ideas and the systems that I'm in  that I see we don't get to talk about the great

ideas. The notion of infinity is one of the great  ideas that mathematics brings to the world. And so when I think about Calculus II and sequences and  series, and people are going to start to groan when they listen to this, that we fail to see  that we're talking about how infinity operates, one of the many ways that infinity operates,  and it's an absolutely brilliant idea that very few people talk about because we're too busy  talking about ratio tests, and then you just get

bogged down in what tests are we using, or does  this have a limit? And you just forget that the notion of adding up an infinite list and getting  a finite number is like so unbelievably profound. But political science gets to talk about justice,  U.S. history gets to talk about the Constitution, and philosophy gets to talk about God, and  over here, we have just as deep things, but we're so tied up in procedures and making  sure that you have the right minus sign. Do

you see the difference that I'm bringing up? That  in literature, people get to read Toni Morrison, and I'm not saying that I'm jealous that they  have better things. I'm saying we have just as good things. But why is it that we are bogged down  in this minutia, but they're not critiquing Toni Morrison's grammar. They're just reading Toni  Morrison and becoming better humans. Where is the becoming better humans in Calc I, where's the  becoming better humans in algebra? And that's the

open space that I dream of in our classes. I'm hoping going forward, that we will still see students studying the  Constitution in history classes. That’s right. That may be changing in the current environment. I shouldn't be laughing.. I don't want to laugh, but I also don't want to cry. That's right. Sometimes we have to. That's right. But as you've noted, students often come in with this fixed mindset, and they often have  not had that much success in their experiences

before they get to us. Should there be, perhaps,  more effort in society to transform K-12 math instruction so that we don't lose so many people  from a discipline that's so important? I agree with that, and I think we also have to be  careful. So I have no time for figure pointing, because what I've seen when I do professional  developments all the way K through 50, whatever it

is, right? As I just go, yeah, that I always see  the pointing back. And so when you go to the ninth grade, it's like, well, eighth grade, and then  eighth grade it's like, well, it's Elementary, and then Elementary, it's like, well, it's the  parents, and then it's like, it's the reverse induction, right? You just go back, well, then  maybe we shouldn't have kids at all, right? …if

you want to just keep doing that. And so I think  we're all in this. And so there are two things, you come to a young person, you come to a student  who's had a bad math experience, and they're a sophomore, and it's the first day of class, and so  you know they've had a bad math experience, and so you can't send them back into K-12. They can't go  back. And so we can say, “Oh, this might be… and I

have said this earlier, that this is a response of  a bad math experience they had earlier.” And yes, we need to fix that. But this person's in front  of me today, and so I don't want us to be confused that, “Oh, that this person is a lost cause.”  The responsibilities on me now to create a better mathematical experience for this person and to  help them as much as reasonable, and we can need to, as we were saying earlier, have conversations  with K through 12. So what are real, fundamental

conversations between math faculty and K through  12 faculty. And so what's nice particularly about Oswego is that you all have the opportunity to  make real connections to the K through 12 places, to schools that may feed into Oswego, and sit down  with the faculty and say, “Oh, what's happening?” I've seen this happen out west at Sonoma State,  where they have relationships with K through

12 schools, and they're having those types of  conversations. Now, those conversations aren't easy, because there's status that you have  to disrupt about in the space and that you just have to deal with, but once you break that  stuff down, become one in community, then you can start to have real conversations about, “Oh,  wait, you're teaching this, but we're teaching this. And so when did they end up learning this?  And oh, do you really have to teach that?” Yeah,

and you just have good conversations. As we've been talking today, was thinking about an early experience I had in my teaching  career where my previous institution I was invited as the non-math faculty member to join  an assessment retreat and spent an entire week out of town with the math faculty, who I really  didn't know very well, and we had a great time, and found all kinds of connections between our  disciplines. And for me, I think that was a really

important opportunity. So I thought it was a  really wonderful opportunity to collaborate across disciplines and to get a better understanding of  what the faculty in that department were doing, what some of their objectives were, but also I  shared what some of the art and design students, some of the struggles that they have, and I  thought it was a really rewarding opportunity, and I actually had forgotten about  it until this conversation.

That is fantastic. That's fantastic. But it sounds right along the lines of what you're advocating for as a way to share  and disrupt and move things forward. Absolutely, absolutely. From society's perspective, the rate of return to higher education, despite the popular  perception, is pretty much at the highest we've

ever seen, and that's especially true in STEM  fields. And yet, students of color, though, have been seriously underrepresented in STEM fields,  perhaps partly because of underrepresentation in faculty and in their prior interactions.  What strategies could be used to help reduce some of those inequities in terms of the mix of  students who are entering into STEM fields?

Yeah, I mean, there are a couple of things. So  this is an individual and a systemic issue. So individually, I think you have to go all the  way back and say, “Well, what does it mean to be of color? What does it mean to be a student of  color? What does it mean to be a person of color?”

And again, the challenge is that people don't even  want to ask that question. Like, student of color or person of color, came into the vernacular  at some point, and we just didn't stop and say, “Well, wait, what does that mean?” And so when  I say that I am black in the United States of America, people who are listening, what does  that mean to you? If you're listening to this five weeks from when we record and I say that I’m  black, what does that mean to you? What do you

think that means to me? Now I want to be clear.  The reason why I ask is because when Lakeisha comes to your class, and Lakeisha is a young  black woman, and you haven't even thought about what it means to be black, then are you going to  try and convince me that you're prepared to teach Lakeisha? Do I want my daughter in your class? And  the reason why I bring this up is because it means everything to me to be black, it means everything  to me, and you haven't even thought about what

it is. So now I'm coming to your classroom, and  there's something fundamentally important to me, and I look at you and I already know the signs  that it doesn't mean anything to you. And so then you are already positioned to me as someone who  doesn't even care about me. And now let me step all the way back. Everybody's nice, everybody's  a good person. Everybody's loves their family, loves the country. Everybody's nice, nice, nice,  nice. I'm not talking about nice. I'm talking

about love, actually. I'm talking about realizing  the nature of the place in which we live, the United States of America, which is again a  place of ultimate brilliance, but a place that also has had significant struggles, tragedy and  terrorism amongst people of color and black people

in particular, right? We can be both, brilliant  and have terroristic backgrounds. And so for me, that's the first thing on an individual level when  we think about again, when I said earlier that we have to think about our students individually,  that is tied to, “Wait, that person is black in America, that might mean A, B, C, D, and E.”  Now it could mean that. It might not mean that, but sociology is a thing. Sociology is real, and  the studies show that, about marginalization, how

people feel. Stereotype threat, microaggressions,  those things are real things. And so that means, again, we need to be educated about what that  might mean. But let me take 17 seconds… that for me to be black means two things at least.  It means that, again, I come from a miraculous people. I come from a group of people who have  been terrorized and stigmatized for centuries in this country, and somehow, our most profound  voices, our most powerful voices, are ones

that are trying to teach love and justice for  everybody. That's a miracle, like somehow, like in the face of all of that ugliness, our leaders  come out talking about love and justice for every single individual. Being black also means that I'm  part of a social constructed category where I am not getting things that other people are getting  because of skin color, and that's personally, and that means systemically. And so both of those  things are happening, are a part of who you see

in me. But what that means is, when you look at  someone else who is of color, then you might say, “Oh, that person's walking around in this society,  and they might be experiencing stuff just because of the color of their skin.” And again,  coming back to that fundamental question, “How might that make them feel? How might they be  struggling today to learn some of the stuff that

I'm saying.” And most importantly, how is it that  in these four walls for this hour and 15 minutes, in a space that I fully control, how is it that  I can make this space different, different from

what the rest of the world has told them their  whole life? So that's the personal one. Now, systemically, I've been thinking a lot about  mentorship, and so if we have 17 students of color, 17 marginalized students in whatever  category, whether it's women in STEM also, 17 students at my institution who are part of a  category, a social category, they might be black, they might be whatever, then the question for  me becomes, how is it that we get them the right

mentors, and that means that focused attention by  someone who is ahead of them on the road for their goals, someone who is going to sit with them and  look in their eyes and have them convinced that, at least for that hour of that meeting, that no  one else in the world as important as they are to that person, someone who is going to awaken  something within them, all potential that they didn't even realize they had. And so when you  have good mentors, then you provide pathways

for people that they didn't even think were  possible. Now, of course, the challenge is, how is it that we need to train good mentors? We  need to get them out there. Right now, we are not trained to be good mentors, particularly across  identities, particularly across racial identities and cultural backgrounds. And so my immediate  hope is that we would get mentors to people about what it means to be a STEM professional, because  what mentorship also does is it gives people who

are trying to get into STEM, STEM identities. It  opens the doors for them to be like, “Oh, I can do this.” For 25 years, I've heard young people say,  I saw this person, I interacted with this person, and I realized that I can do this, particularly  when Ketanji became a Supreme Court justice. I just remember the very next day, a 16-year old  black girl said, “Now that this has happened, a whole world has opened up for me.” I just want  that to sit with the listener, that this person

will never meet Ketanji. They simply need to just  see her become a Supreme Court justice, and now a whole world is opened up for them. Now that's just  from 1000s of miles away. If we can somehow get mentors to each of our young people who are trying  to do this, then it gives them, like this personal connection too. It makes it even powerful. Some of the change that you're talking about, the dreams that we're dreaming together,  definitely are some of the long game…

Yes, absolutely, absolutely. Yes, yes, yes. What are some of the short game moves that we can make to get to that longer game? Yeah, so then I think it depends on who I'm talking to. So then if I'm talking to  someone who's seasoned, who's comfortable, who is going about their life, and it's easy,  again, as we said before, I want you to say, “Well, I want to do something bold and different.”  And again, I guess the first thing I would say to

you is, “I want you to send your students the  feedback.” We can do this in multiple ways. I want you to have some real conversations with and  get some real feedback from your students about how things are going with you and whether you are  doing your due diligence and uplifting people in the discipline of math. If you are new or you have  little power or you're just moving up the ranks, there's something about also looking at your  practices, but being able to get a critical mass,

like just joining other people. I think  this is true for the older faculty too, but just joining communities and listening to how  other people teach and how other people operate in their craft, they continue to just be educated.  So again, that's on the individual level. On the systemic level, I'm looking at our leaders.  So then I'm talking to department heads. I'm talking to deans and to presidents and provosts  about doing more than just not rocking the boat.

And so when we have young people, when we have  these disparities in STEM across racial lines, that's on you, leader. So I'm really trying  to push leaders to just say, “Okay, wait,

not under my watch.” 17 years from now, I want you  to be able to say, “Maybe things have not change, but here are the three things that I tried and  they failed, and even in the failure here the 15 things we learned,” that the too many leaders who  would just come into position and just try to keep things still and when in fact, your job may be to  shake things up so that more people can thrive.

So I just met so many leaders that have just been  like, “Let me just come and steer the boat,” when, in fact, you may need a whole new boat. You may  need to be on a new river. Yeah, so I'll say that, in that delineation, I mean on the individual  level, you've got younger faculty, older faculty, and then they might be doing things, but then  at the systemic level, our leaders need more courage. They just need more courage. And so the  challenge that I have, and it goes back to what we

said earlier, is that in order to get courage, you  have to be compelled. There has to be a compelling reason for a leader to say, “You know what, I'm  going to do the thing, and y'all are not going to like me. We're going to make classes unified  at the 1000 level for math, because this is what our students deserve. And I don't care what you  think about, because the data says that having classes that are completely different from  professor to professor makes students suffer,

and therefore we must unify. Let's get to work  on it together. And if you don't like it, okay, we can talk about that too, but this is what  we're doing.” And so that person who does that is compelled by the suffering of our students.  The lack of access for our students is the driving factor. There must be something that compels  leaders to change, otherwise they won't.

I wanted to follow up on the feedback  forms because you've mentioned that throughout our conversation today, and for  someone who's like, “Yes, I will do this,” what would be in said feedback form? Oh, thank you for saying that. It would be questions that if they got the answers to,  it would shake them and make them really uncomfortable. The thing that I want to say, that  I should have said from the beginning, is that

it's comfortable or outstanding, you only get to  be one. It's comfortable or outstanding, you only get to be one of those. And so when I created  my feedback forms, and I started filling them, and I started putting in the questions, like, oh,  wait, if I actually heard the real answer to this, I'm not going to feel good. And then part of me  said, Well, that means it needs to go on there. And so what does that look like? That means like,  “Am I doing a good job? Am I giving you everything

you need? What do you want me to change?”  That one's not so bad, but it's just like, “Did I say anything that bothered you? How  is my language?” It's just stuff that like, are you having good time, right? So that's about  me, and so how can I just be better? But then the thing that was transformational for me is when  you ask anonymously, people about their lives, and just say, “What's your biggest challenge  today? What are you going through right now?

What excites you the most? What do you do when  you're not in school?” So feedback forms do so much if you are authentically digging into them  and asking questions that might push you out of your comfort zone, because it'll change you  forever. Because when someone says that all your math problems are binary in terms of gender, and  it leaves me out, then it changes the way that I teach forever. Forever. One sentence changes the  way I teach forever. That's just the tip of the

iceberg. There’s tons of feedback forms out there,  so you can go and investigate those. But for me, it's “Okay. How am I doing?” And “Who are  you as a person?” I have colleagues who give them out after tests also who have,  like, logistical and utilitarian reasons for giving them out. But for me, as you  might imagine from what I've said so far, I'm trying to figure out, am I doing a good job  in humanizing you, and who are you as a human.

Is this something perhaps that people should  do at the start of the semester, just to gather some information about who the students are  in the class as well as during the class? Yeah, you're giving them out a lot. Yeah. And you mentioned anonymity. I've gone back and forth on that in terms of gathering  information about students. Students are likely to be more open when the forms are  anonymous. On the other hand, if there's

specific concerns for specific students, there's  some benefit of knowing who the students are. And I've sometimes done a mix of those things,  where I've had some things which were just anonymous and others where students let me know  at the beginning of the term, in particular, if they have any special concerns or needs or any  challenges they faced in classes in the past.

I appreciate that, yeah. And so I definitel moved  the anonymous route. And then I will say that some of you wrote some things that I think you and  I need to talk about personally, and I hope you know who you are, and say, yeah. And then I  don't know if I get any more specific than that, because of anonymity reasons, but yeah, so  I try to open the door that way. But yeah, I like your idea of mixing them for sure. So we always wrap up by asking, what's next?

Oh, just the same old, same old. And that's  enough, right? So, yeah, I wake up every morning with a mission, and I'm thankful for  that. I'm overwhelmed by that, that I am trying to serve people. And first, it starts with my own  daughter, my wife, and then I get to then interact with people who are trying to change their lives  forever. When you're in college, when you're in the educational process, when I'm teaching in  K through 12, those young people in particular

don't have the vision yet to understand the  path that they're on. But in particular college, even though some of those people have been forced  to go to college, they are there and they're trying to change the trajectory of their whole  life, and to play a role in that is a gift, and I have to treat that with care. And so I wake up  every morning just trying to figure out how in the world can I help that person on their educational  journey. And that's all I want to do. And so I'm

in a sweet spot where I can do that every day and  make a living. So I'm superbly thankful for that. So for me, in general, I'm always trying to  make quantitative spaces better for everybody, because better quantitative spaces lead to  better quality of lives. And so across so many different levels, if you see me, I'm either  with my family, or I'm playing pickleball, or I'm trying to make quantitative spaces better  for people for better quality of lives.

….sounds like a good balance. Yeah, that's right. That's right. Well, thank you. It's great talking to you again.  And again, we really enjoyed your work here back in January during your visit. It's a pleasure. Thank you. Thank you so much for your  thought-provoking ideas. Oh, you're welcome. Thank you for having me. If you've enjoyed this podcast, please subscribe and leave a review on iTunes or  your favorite podcast service.

To continue the conversation, join us on  our Tea for Teaching Facebook page. You can find show notes, transcripts and other materials on teaforteaching.com.  Music by Michael Gary Brewer.

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