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For Paris, having a trainer acknowledge feelings in math class was humanizing. “She acknowledged my expertise as part of this actually large expertise that so many different individuals have. And that was actually validating,” Paris mentioned.
Sturdy devotes a couple of hours to studying the letters, making notes about broad patterns and particular person particulars. “It’s the start of an ongoing story between you and the scholars and their math expertise for that semester or yr, and it’s actually necessary to start out by listening to them nicely,” she mentioned.
Hierarchy in math schooling
Sturdy teaches at High Tech High and its Graduate College of Training in San Diego. She developed the Pricey Math routine nearly a decade in the past, and he or she printed a e-book about it, Dear Math: Why Kids Hate Math And What Teachers Can Do About It, co-authored by her former pupil Gigi Butterfield. In it, the trainer and former pupil mirror on the themes throughout tons of of letters. One pervasive theme is hierarchy.
“Children as younger as kindergarten and first grade are defining themselves nearly as good at math or not good at math,” mentioned Amy Parks, an elementary math schooling researcher at Michigan State College. A lot of that definition comes from how they rank amongst classmates – from timed exams, to ‘excessive’ and ‘low’ teams, to refined cues in lecturers’ language. “I’ve been in lecture rooms the place lecturers have had youngsters line up by what number of questions they answered or what number of issues they acquired proper,” Parks mentioned. “These hierarchies get strengthened so usually and in so many various methods it’s nearly overwhelming.”
For a lot of youngsters, the comparisons add as much as a detrimental self-perception round math. And by the point they attain highschool, that mathematical identification can really feel immutable. However math class doesn’t need to be this fashion. “Lecturers and fogeys can have an effect on the best way youngsters take into consideration this stuff,” mentioned Rachel Lambert, a professor and researcher at College of California, Santa Barbara.
There’s a cussed cultural myth that some of us are “math people” and some of us aren’t. This concept will get repeated explicitly on a regular basis, and sometimes implicitly with gendered and racialized associations. However neuroscience reveals that everyone is capable of learning math, and Lambert mentioned it matters that kids hear that. “College students join topics to lecturers in a fairly intense approach that I believe as adults we regularly overlook. So in the event that they really feel their math trainer believes in them as a human being and believes of their competence in arithmetic, that may make an enormous distinction,” she mentioned.
In Sturdy’s classroom, listening to college students’ tales is step one towards disrupting these hierarchies. She additionally appears to be like for methods to spotlight college students’ mathematical pondering each day. A method she does that is by having a number of college students write their problem-solving concepts on the whiteboard and asking different college students to touch upon what they like in regards to the methods they see. One other routine is an exit ticket that asks college students to share one thing they realized from a classmate that day. She may share the main points the subsequent day with a pupil who was talked about or with the entire class if there’s an even bigger lesson in it.
Math is for everybody
Isabela Avila, one other of Sturdy’s former college students, mentioned these sorts of practices created a way of neighborhood: “It was by no means even like a query of did you get it proper or fallacious. It simply appeared like we had been all the time simply all studying collectively as a category.” She had Sturdy as a trainer twice and wrote Pricey Math letters each instances. In her letter as a sophomore, her self-doubts confirmed up within the first sentence:
Pricey Math, I actually such as you, however you don’t come naturally to me. I’ve to work additional exhausting to know and totally conceptualize what it’s important to supply.
In her letter as a senior, Avila wrote about her math progress over the prior two years:
I developed a way of persistence and open mindedness for the primary time ever. … I do know it will assist me so much in school and past, and I sit up for utilizing it sooner or later.
When Avila acquired to the extremely aggressive surroundings of Johns Hopkins College, nevertheless, the same old order of issues returned. “I actually struggled so much with evaluating myself, particularly in math,” she mentioned, discussing her freshman yr. “And I simply discovered that to be tremendous, tremendous counterproductive for each my studying and my self worth.”
Sturdy mentioned her personal math story has had plenty of highs and lows, too. Although she will’t shield college students from the methods math is taught and talked about past her classroom, her hope is that earlier than they depart highschool, “they begin to see themselves as mathematicians in new methods and that they begin to see their friends as mathematically sensible in new methods.”
For Avila, the persistence she developed in highschool did repay within the lengthy, emotionally robust hours of school calculus. “I really feel like how you concentrate on your self and how briskly you might be to get again up and hold attempting is admittedly, really a lot extra necessary than in case you can really do the mathematics,” she mentioned.
Quick and gradual
Paris, Sturdy’s former pupil who favored expressing her feelings in a Pricey Math letter, nonetheless remembers the heart-racing stress that accompanied timed multiplication tests in third grade. In Sturdy’s classroom, she mentioned, there was by no means a timer. When Paris wanted additional assist, Sturdy introduced out outdated algebra textbooks to bolster foundational ideas. She designed initiatives the place Paris might make connections between math and artwork – a topic that she already liked. Most significantly, Sturdy helped Paris learn to break down complicated issues into smaller steps. “Which is such a easy idea, however it didn’t even cross my thoughts that I might try this in math,” mentioned Paris. “And that taking my time in math meant that I used to be being a mathematician.”
“Many college students have this conception that they’re the one one who’s taking time to know this idea, that everyone round them has already acquired it,” mentioned Lambert, the UC Santa Barbara professor. Lambert prompt that lecturers can cut back the frenzy of the pacing calendar by pondering of it not as going slowly however selecting the place to take a position time. “You’ll be able to’t do each customary yearly along with your college students. It’s a must to work out what’s price funding, after which spend extra time with these subjects in order that college students really feel that they’ve sufficient time studying these issues,” she mentioned.
In Sturdy’s view, this requires shifting away from math instruction that’s constructed across the concepts the trainer needs to get to in a given interval. Pupil-centered instruction requires much more listening, she mentioned: “Listening first off to their tales and the way they’re exhibiting as much as class, after which second off (listening to) the ways in which they’re pondering of and understanding and making sense of mathematical concepts.”
Paris, who had Sturdy as a trainer for 3 years, mentioned that point reworked her. She now works at a bridal store, the place she was lately promoted from stylist to gross sales supervisor – a task that entails plenty of math. “If I wish to train my stylists methods to improve their productiveness of their gross sales, then I must suppose like a mathematician and provide you with the ways in which I can try this,” she defined. In tenth grade, that will have scared her. Not now. “There’s no motive for me to be afraid of math as a result of I’ve confirmed to myself time and time once more that I can do it,” she mentioned.
Episode transcript
Kara Newhouse: Welcome to MindShift, the place we discover the way forward for studying and the way we elevate our children. I’m Kara Newhouse.
Nimah Gobir: And I’m Nimah Gobir.
[Music]
Kara Newhouse: As we speak we’re speaking about math.
Nimah Gobir: As a result of it entails numbers and formulation, we regularly consider math as simple and goal.
Kara Newhouse: However studying math is definitely full of feelings. I met a highschool trainer who begins the yr with an uncommon project. She has her college students write a letter to math, describing their emotions in regards to the topic. Right here’s that trainer, Sarah Sturdy.
Sarah Sturdy: A Pricey Math letter is a letter that college students write to math as if math had been personified sitting throughout the desk from them. … And it actually helps inform lecturers higher perceive the scholars tales and experiences that they’re coming to class with in order that lecturers can higher design math experiences for college kids to thrive and flourish in math class.
Kara Newhouse: We’ll hear extra from Sarah later within the episode. First, right here’s a part of a Pricey Math letter from one in all her former college students, Taylor Paris.
[Music]
Taylor Paris: [Reading letter] Pricey math, Oh, do I’ve some issues to say to you. You’ve adopted me all through each faculty yr, prompted me the worst complications, and given me quite a few counts of tension simply fascinated with you … The reminiscences of my seventh grade math trainer telling me, ‘Possibly you’re simply not a math particular person’ nonetheless ringing in my head, and the fixed Bs and Cs are nonetheless imprinted in my thoughts. You’ve been a by no means ending problem and wrestle, and it’s all the time been exhausting to know you. Irrespective of what number of instances my buddies and lecturers clarify you, I by no means grasp you utterly.
Kara Newhouse: The nervousness and frustration that Taylor described in her letter are acquainted emotions for a lot of younger individuals. And by the point college students get to highschool, it might probably really feel like in the event that they don’t perceive math now, they by no means will.
Nimah Gobir: However math doesn’t need to be this fashion.
Kara Newhouse: Once we get again from the break, we’ll hear extra about Pricey Math letters and the way they assist college students like Taylor strengthen their mathematical identities.
Kara Newhouse: Taylor Paris graduated highschool a couple of years in the past, however she nonetheless remembers the primary week of tenth grade math together with her trainer Sarah Sturdy. That’s when college students wrote letters to math, as if it had been an individual.
Taylor Paris: And I bear in mind being so excited as a result of mainly you’re writing in math, and that’s by no means the case.
Kara Newhouse: Interdisciplinary studying permits college students to consider a topic from new views. For Taylor, writing the Pricey Math letter gave her an opportunity to mirror on how her early faculty years formed her relationship to math.
Taylor Paris: I bear in mind, my first, like, scariness of math was lengthy division, as a result of it was like so summary to me, and everybody round me understood it and was similar to, ‘Yeah, nicely that’s simply the best way it’s and that’s completely effective.’
Kara Newhouse: Writing about these reminiscences was cathartic. It additionally helped Taylor really feel related to her trainer.
Taylor Paris: I’ve by no means had a math trainer discuss feelings behind math ever. Like, really ever … She acknowledged my expertise as part of this actually large expertise that so many different individuals have. And that was actually validating.
Kara Newhouse: Her trainer, Sarah Sturdy, additionally made it clear that it was okay for these emotions to floor all year long. Which made it attainable for Taylor to concentrate on really studying math.
Taylor Paris: She did an amazing job at making me really feel like I might take a very complicated downside and break it right down to the naked bones of it, which is such a easy idea. Nevertheless it didn’t even cross my thoughts that I might try this in math and that taking my time in math meant that I used to be being a mathematician. And that’s what mathematicians did, was take their time and work on issues slowly to actually perceive each side.
Kara Newhouse: Once I met Taylor, she had simply been promoted from a stylist to a gross sales supervisor at a bridal store in San Diego. That’s a vogue job that entails plenty of math.
Taylor Paris: So stylists are liable for clearly, you realize, the customer support aspect of issues, however on the gross sales aspect, there’s a sure purpose that you want to meet or would ideally meet daily and sort of week to day, month to day. … And so when you concentrate on it, gross sales is like one large math downside day by day as a result of there’s a query, there’s a solution that it’s important to get to, after which there’s variables that go into, you realize, the reply to your downside, basically.
Kara Newhouse: Taylor is 20. Not that way back, doing a math-related job would have been unimaginable to her.
Taylor Paris: When you instructed sophomore yr Taylor that I’d be doing one thing that was immediately correlated with math and numbers on a regular basis, I’d be terrified and doubtless giggle.
Kara Newhouse: Taylor had Sarah Sturdy as a math trainer from tenth grade by twelfth grade. She mentioned that these years completely modified her view of math.
Taylor Paris: And so whereas I’ll have been scared to take a gross sales supervisor place at, you realize, in my sophomore yr, it makes a ton of sense for me now as a result of what I do is assist individuals discover their wedding ceremony gown. And who would have thought that math was to find a marriage gown?
[Music]
Kara Newhouse: Taylor now sees herself as a doer of math. That is what’s referred to as mathematical identification.
Nimah Gobir: We did an episode that includes Chris Emdin, who talked about college students’ STEM identities. Mathematical identification is one type of a STEM identification.
Sarah Sturdy: Mathematical identification is a approach that college students see themselves as a mathematician, and due to this fact it connects to the ways in which they enter into mathematical areas and join with different mathematicians round them.
Kara Newhouse: That’s trainer Sarah Sturdy once more. She created the Pricey Math exercise throughout an even bigger mission the place college students had been exploring their mathematical identities. They had been utilizing several types of math as metaphors for his or her experiences. And Sarah needed so as to add a writing element to that mission.
Sarah Sturdy: And one in all my colleagues shared with me the concept of writing letters to a factor like books or basketball, and the way she’d heard of that apply. And she or he thought I might do Pricey Math letters, and I believed that was an incredible thought. So I ran with it.
Kara Newhouse: The letters had been highly effective. And Sarah realized that having college students write them at the start of the yr might assist her train every class higher.
Right here’s how she does it now. She introduces the project through the first week of faculty. She reads her personal Pricey Math letter as a mannequin, as a result of most college students aren’t used to writing in math class. Listening to her letter additionally lets them know that though she teaches math, it hasn’t all the time been straightforward for her.
Nimah Gobir: After studying her letter, Sarah provides her college students prompts for writing their very own. Questions like…
- What’s one in all your best mathematical strengths?
- How do you intend to have interaction with math sooner or later?
- What would you want extra of in math lecture rooms?
Kara Newhouse: They spend 15 to half-hour writing at school. Anybody who needs to write down extra can end at house.
Nimah Gobir: Then Sarah reads the letters on her personal. She says that is crucial step.
Sarah Sturdy: ‘Trigger it’s the start of an ongoing story between you and the scholars and their math expertise for that semester or yr, and it’s actually necessary to start out by listening to them nicely.
Kara Newhouse: She first appears to be like for broad patterns throughout the category.
Sarah Sturdy: If I’ve acquired a disproportionate quantity of scholars that hate math, don’t suppose they’re mathematicians, that I’ve to be actually intentional about my class design, the place I’m repeatedly noticing and calling out their mathematical strengths and giving them alternatives to see themselves as mathematicians and see one another as mathematicians. Or do I’ve plenty of college students who, who really feel like ‘I’m a very sturdy mathematician. Ever since I used to be younger, I get all the appropriate solutions. I’m actually quick.’ Then I can observe that that’s a pattern within the class and be pondering how I can proceed to push these college students whereas additionally broadening their understanding of how they’re mathematical and the way necessary it’s to additionally hearken to different college students’ methods of being mathematical.
Kara Newhouse: She additionally reads the letters for particular person particulars about issues college students love and issues that journey them up. She may make a couple of notes and …
Sarah Sturdy: Examine in with college students like, ‘Gosh, I bear in mind you mentioned that you just had a very exhausting time with the concept of percents and like every time percents come up, you panic. Effectively, tomorrow we’re going to wish some percents in our work with exponential features. And so I needed to just be sure you knew that I imagine that you just’ve acquired this. If you wish to do some apply beforehand, we are able to try this as a result of I need you to really feel assured. I don’t need some story from sixth grade impacting your confidence in what we’re engaged on proper now.’
Kara Newhouse: Sarah mentioned that attending to know college students was all the time necessary to her. Even earlier than she created the Pricey Math project.
Sarah Sturdy: I’d usually attempt to join with them in quite a lot of methods and I’d hear their feedback right here and there that had been each optimistic and detrimental. And I all the time tried to be a very good listener and perceive my college students’ emotions.
Kara Newhouse: However she wasn’t all the time getting a full image.
Sarah Sturdy: Typically I believe I used to be being a bit of delusional earlier than I acquired to listen to their complete tales as a result of I’d suppose, ‘Oh, that they had actually detrimental experiences. They don’t like math, however now that they’re in my class, the whole lot’s going to be effective.’
Kara Newhouse: The letters helped her take off her rose-colored glasses.
Sarah Sturdy: It wasn’t till I began having them write Pricey Math letters that I acquired to listen to extra full tales and achieve an even bigger image for his or her earlier expertise and the way these experiences had been informing the methods they had been exhibiting as much as my class.
Kara Newhouse: That data permits her to assist college students develop as math learners all year long.
Sarah Sturdy: My largest hope is that they begin to see themselves as mathematicians in new methods and that they begin to see their friends as mathematically sensible in new methods.
[Music]
Kara Newhouse: Nimah, it might be nice if writing a Pricey Math letter helped all college students see themselves as able to doing math – the best way it did for Taylor Paris.
Nimah Gobir: It will. However after all not each pupil’s math story is linear.
Kara Newhouse: No… Some math tales go up and down over time, like a periodic operate.
Nimah Gobir: Hey, good math analogy!
Kara Newhouse: I acquired that one from Sarah Sturdy. She described her personal math story that approach. It additionally applies to a different of her former college students, Isabela Avila. Right here’s the beginning of a Pricey Math letter Isabela wrote in tenth grade.
Isabela Avila: [Reading letter] Pricey Math, I actually such as you, however you don’t come naturally to me. I’ve to work additional exhausting to know and totally conceptualize what it’s important to supply.
Kara Newhouse: In earlier math lessons, Isabela felt stress to all the time be quick and have the appropriate reply. However she instructed me that expectation wasn’t there in Sarah Sturdy’s class.
Isabela Avila: It was by no means even like a query of like, did you get it proper or fallacious? It was simply appeared like we had been all the time simply all studying collectively, as a category.
Kara Newhouse: That sense of togetherness mattered.
Isabela Avila: And like, I believe that basically helped me like primary, like, suppose extremely of myself as like an issue solver and in addition … be assured in my concepts.
Kara Newhouse: Isabela had Sarah Sturdy as a trainer twice, and he or she wrote a Pricey Math letter each instances. You’ll be able to hear her elevated confidence within the letter she wrote as a senior.
Isabela Avila: [Reading letter] Essentially the most mathematical progress I really feel I’ve ever skilled was throughout my junior yr. I felt assured in my algebra expertise for the primary time ever. … My mindset additionally shifted drastically. I developed a way of persistence and open mindedness for the primary time ever. … I do know it will assist me so much in school and past, and I sit up for utilizing it sooner or later. Sincerely, Isabela Avila.
Kara Newhouse: When Isabela really acquired to varsity, the transition was rocky. She’s a pre-med main at Johns Hopkins College in Baltimore.
Isabela Avila: Our like math division is thought for being like notoriously exhausting.
Kara Newhouse: Throughout her, Isabela noticed classmates who had come from elite excessive faculties and appeared to know calculus extra simply than she did.
Isabela Avila: I actually struggled so much with like evaluating myself, particularly in math. And I simply discovered that to be tremendous, tremendous counter-productive for each my studying and like my self worth.
Kara Newhouse: Typically she would break down crying whereas doing homework, which might take eight hours to finish. In school, she didn’t take part as a lot as she had hoped to.
Isabela Avila: I simply actually didn’t wish to sound like I didn’t know what I used to be speaking about or like, not that I don’t belong there, however I don’t know. It was simply, everybody round me was so sensible. And I do know, like, exams don’t outline you, however everybody round me, like, even when they had been beginning in calc one, they, like, acquired fives on just like the AP calc exams and did exceptionally nicely.
Kara Newhouse: Again in highschool, Isabela had written in one in all her letters that she’d had plenty of highs and lows with math. Freshman yr of school was undoubtedly one other low.
Once I talked to her throughout her sophomore yr at Johns Hopkins, being a premed main was nonetheless very tense. One thing that helped, although, was making buddies who didn’t discuss grades.
Isabela Avila: We don’t discuss, like, what rating we acquired. We don’t discuss how we’re doing within the class. We don’t discuss — actually we don’t discuss that a lot about like our precise like faculty.
Kara Newhouse: And she or he mentioned the persistence that she developed in highschool did assist her get by calculus.
Isabela Avila: Particularly in math right here in school, like, I really feel like how you concentrate on your self and like how briskly you might be to love, get again up and hold attempting is admittedly, really a lot extra necessary than in case you can really do the mathematics.
[Music]
Nimah Gobir: Kara, the best way Isabela in contrast herself to her calculus classmates isn’t distinctive to being at a college stuffed with excessive achievers.
Kara Newhouse: That’s proper. Sarah Sturdy mentioned these comparisons have been pervasive in college students’ Pricey Math letters. And in accordance with specialists, this sort of pondering begins early.
Nimah Gobir: Researchers say even kindergarteners begin to discover their spot within the pecking order of math skill.
Kara Newhouse: It usually begins with these one-minute math quizzes that so many people bear in mind.
[Sound of pencils scribbling and slamming down]
Nimah Gobir: College students may hear their classmates furiously scribbling solutions and slamming their pencils down after they end. They equate that with being “good” at math.
Kara Newhouse: And there are many different methods in class that college students are ranked and sorted. In youthful grades, lecturers usually group college students by skill after they’re working towards math. In higher grades, college students could get tracked into ‘common’ and ‘superior’ lessons.
Nimah Gobir: Some lecturers will even publicly show youngsters’ progress in sure math expertise. This will appear to be a bulletin board that makes use of paper ice cream scoops to characterize what number of multiplication details every pupil is aware of.
Kara Newhouse: One researcher I talked to had plenty of concepts about methods to disrupt hierarchies in math schooling. That is Rachel Lambert, from College of California, Santa Barbara.
Rachel Lambert: I believe if there’s one one factor I’d like to speak, it’s that lecturers and fogeys can have an effect on the best way youngsters take into consideration this stuff.
Kara Newhouse: Rachel shared 5 ideas that lecturers can use to assist youngsters cease evaluating themselves to others in math. The primary tip is to vary the narrative about who can do math.
Rachel Lambert: College students would inform me how a lot it mattered to them to listen to their trainer say, ‘There isn’t a distinction in who could be good at math.’ Like very clear messages round race and gender and the clear message that there is no such thing as a one group of individuals that’s higher in math than different individuals, these college students instructed me that was useful to them.
Kara Newhouse: Altering the narrative isn’t nearly what we are saying to youngsters. It’s additionally about how lecturers discuss to one another. And the way they group college students at school.
Rachel Lambert: We would suppose as lecturers – and I used to be a trainer for over 10 years – that children don’t know that we is likely to be calling them low youngsters or excessive youngsters once we’re having lunch with different lecturers. … However they know, they all the time know and so they know the way they’re being grouped and categorised and seen. … If we resolve that children are going to do nicely in arithmetic, we do plenty of issues in our educating to set them up for fulfillment day after day. If we predict youngsters will fail once we hand them a mathematical activity, we’re doing refined issues to set them up for failure each single time we try this. So if we put them in teams that by no means change, we’re educating them who they’re and we’re additionally affecting who they turn out to be, as a result of we’re solely permitting them alternatives to do issues quote-unquote at their stage.
Kara Newhouse: Rachel’s second tip for lecturers is to cease specializing in velocity.
Rachel Lambert: Consider it not as a matter of going gradual. Consider it as investing in sure issues. So you possibly can’t hit the whole lot in your pacing calendar. You’ll be able to’t do each customary yearly along with your college students. It’s a must to work out what’s price funding and what’s price additional time, after which spend extra time with these subjects in order that college students really feel that they’ve sufficient time studying these issues.
Kara Newhouse: Her third tip is to normalize errors. It may well assist college students be taught from one another’s pondering when you have got them share their errors. Rachel instructed me a few trainer who did this.
Rachel Lambert: She would even put a bit of coronary heart subsequent to a mistake and he or she’d be, ‘This was my favourite mistake of the day.’ And she or he drew a bit of coronary heart subsequent to it. And the children would go, ‘awww.’ It’s lovable.
Kara Newhouse: Tip quantity 4 is to present college students issues that may be approached from a number of angles.
Rachel Lambert: I see that some youngsters actually love to have interaction within the visible side of an issue. Different college students wish to make, say, an organized listing. And that doesn’t imply – there’s no such factor as studying kinds; it doesn’t imply that that’s the best way they’re going to strategy each downside, however it does imply that an issue that pulls on a number of methods of partaking could be extra wealthy mathematically and in addition disrupt concepts of who’s the most effective at math and who isn’t.
Kara Newhouse: Rachel Lambert’s fifth and remaining tip is to make helps out there to everybody.
Rachel Lambert: That’s the one of many easiest interventions you are able to do in math to make it extra equitable … And it doesn’t ship any detrimental messages to youngsters as a result of they’re selecting in the event that they wish to use a calculator. They’re selecting in the event that they wish to hear the instructions a second time. They’re selecting in the event that they use manipulatives.
Kara Newhouse: Making these assets out there to everybody takes the trainer’s assumptions out of the equation. And it helps youngsters develop the talents to acknowledge what they should succeed.
[Music]
Nimah Gobir: Kara, there are some individuals who say math lecturers ought to simply concentrate on content material. That actions like writing letters to math are extra about shallowness than studying.
Kara Newhouse: These targets don’t need to be separate. Direct instruction and problem-solving apply are important elements of math schooling. However like we mentioned at the start, doing math entails feelings. Though we’ve heard so much in regards to the irritating elements of math, it might probably additionally evoke optimistic feelings.
Nimah Gobir: Children who’re absorbed in math problem-solving usually categorical surprise and pleasure.
Kara Newhouse: Listening to younger individuals’s tales and honoring all of those feelings permits college students to be extra human in math class. And that doesn’t simply make them imagine of their math talents, it empowers them to be taught math and to do math.
[Music]
Kara Newhouse: This episode wouldn’t have been attainable with out Sarah Sturdy. To be taught extra about Pricey Math letters, you possibly can learn the e-book she wrote together with her former pupil, Gigi Butterfield. The e-book is named, Pricey Math: Why Children Hate Math and What Lecturers Can Do About It.
Thanks additionally to Taylor Paris, Isabela Avila, Rachel Lambert and Amy Parks.
The MindShift staff consists of Nimah Gobir, Ki Sung, Marlena Jackson-Retondo and me, Kara Newhouse.
Our editor is Chris Hambrick. Chris Hoff engineered this episode.
Extra assist from Jen Chien, Katie Sprenger, Cesar Saldaña and Holly Kernan.
MindShift is supported partly by the generosity of the William & Flora Hewlett Basis and members of KQED.
Nimah Gobir: When you love MindShift, and loved this episode, please share it with a good friend. We actually admire it. It’s also possible to learn extra or subscribe to our e-newsletter at kqed.org/mindshift.
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