Ralph Pantozzi
@mathillustrated
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@AEF_Program 24-25 Fellow • All opinions expressed here are personal & not representative of program positions or policies • @MoMath1 • #PAEMST @NCTM • @MAAnow
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Joined April 2015
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Oh the Places You'll Go! Random Walk on Wall Street
@profkeithdevlin
@JohnAllenPaulos
@timchartier
@stevenstrogatz
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@MrsSasser
@EricaTuke
@NWRMrsBaier
@LeahLandrum_GVS
@JennSWhite
@LoveWDWmco
@howie_hua
Keep spreading this word! You can find this strategy in an "ancient" (1982, 1986, 1994) set of books... it makes such a difference!
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Can I get an Open Letter of Mathematicians stating we should stop trying to rush through math in K-12????
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Homework is one of the most inequitable practices in education. Pass it on.
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What you
#notice
and
#wonder
about this image? What does it say to you?
#maths
#math
#ITeachMath
#education
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Between this and "daddy's sad book" I realize there's big potential to make a book of tweets where 6 year olds see right through the grand scam that is academia
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@NdefoNkem
@MrsSasser
@EricaTuke
@NWRMrsBaier
@LeahLandrum_GVS
@JennSWhite
@LoveWDWmco
@howie_hua
Yes! And the below was maybe before whiteboards were in use. All students can ask and answer questions. Students learn to believe math comes from their questions.
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Yes I am ab-normally pleased this now exists. Thanks
@MoMath1
!
@alittlestats
@profkeithdevlin
@timchartier
@approx_normal
@maanow
@TheSIAMNews
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I am skeptical of all
#education
research. Particularly research in which sweeping claims of a single answer to questions about learning, pedagogy, literacy, and knowledge are made.
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Child: will you teach me how to make a cake?
Parent: sure. Watch me, listen attentively: there will be quizzes & cold calls. Don’t touch anything, remember you’re a novice!
Sounds ridiculous, right? This is what happens when you try to make specious analogies about instruction.
Child: mom, will you teach me how to make a cake?
Mom: sure. Here are the ingredients. Use your curiosity to figure out how they work together to create a cake.
Sounds ridiculous, right? Yet this is what happens when schools use inquiry-based learning over direct instruction.
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After 29 1/2 years of
#teaching
, I finally admitted that I had a problem, and made a
#resolution
to take Saturdays off, which I have now kept for 2 months. Wish me continued luck.
#ITeachMath
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@Yascha_Mounk
Dear fellow twitter user, asking speculative questions and testing theories is part of how mathematicians and scientists create new discoveries and innovations.
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@lawrence_farms
This is good stuff! And know this is nothing new: here’s my homework from 1978
#ITeachMath
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Subtweeting: don’t ever fall back on “there isn’t enough time in the course to properly
#teach
the material”. Why are we designing courses that we can’t finish? Who are we serving?
#ITeachMath
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“There's a weird branding phenomenon happening with "The Science of____” in education used to describe a handful of practices & processes related to cognition & the brain: “there is no such thing as “the science of learning”
@HumResPro
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Math teacher on college tour with daughter. Guide: “after those classes, you won’t have to take math again, thank goodness” 😮 somehow I restrain self from embarrassing daughter. 😬
#Mathed
colleagues everywhere, we have the power to change this.
@stevenstrogatz
#iTeachMath
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Cold calling? Raising hands? 🤔 there are alternatives and tips for questioning students in class. (Book: Motivation Counts, 1994)
@joboaler
@mathyawp
@DrKChilds
#iteachmath
#PAEMST
#equity
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Misunderstandings of what some people call “inquiry-based approach” are as common as misunderstandings of what some call “explicit instruction”
Lots of controversy after my post about explicit, systematic instruction! Discussions are good!
But watch what happens when, yesterday, I decided to take an inquiry-based approach in a literacy lesson….
I asked students to guess the meaning of a new word (Château). Two
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"when teachers direct student learning, students are slightly more likely to be successful in solving the easiest mathematics problems in PISA. Yet as the problems become more difficult, students with more exposure to direct instruction no longer have a better chance of success."
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Cranky old math teacher speaking here, getting ready for next year. These. Things. Should. Not. Be. News. Keep spreading the word. Thank you to many such as
@NCTM
@amtnj
@robertqberry
@DingleTeach
@hpicciotto
@steve_leinwand
@ilana_horn
@TracyZager
@geoffkrall
#iTeachMath
#MTBoS
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“There is an extensive body of research which shows how, from a very early age, children are engaged as active agents in their learning and learn through play. They test hypotheses, problem solve and come up with creative solutions.”
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I’d tell you you were making stuff up and contributing nothing to the discussion about improving instruction in classrooms.
What if I told you that lifeguards have a new method for teaching toddlers how to swim by throwing them in the deep end of a swimming pool without supervision, in hopes that they will learn from their productive struggle?
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How do we get visual tools for calculus into every classroom, curriculum, textbook?
@giohio
@dynamic_math
@MattBoelkins
@dbressoud
@joboaler
@stevenstrogatz
#iteachmath
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The statement “We always should be teaching students the most efficient way to solve a problem first.” is simply incorrect.
#iTeachMath
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Surprise! Significant learning gains have been shown in students who are prompted to generate explanations as opposed to being provided with an explanation or simply reviewing material.
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The idea that imperfect humans can work together to create a more perfect society while remaining imperfect... and that we can expand our definition of "humanity" beyond "humanity" ...but that it's not easy...? priceless.
#startrek
@JonathanDelArco
@JeriLRyan
@SirPatStew
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"
#Mathematics
can help transform students into better thinkers—but only if we allow and help students develop and practice those thinking skills. Mimicking procedures is not enough."
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"explicit Instruction minimizes (prevents) anxiety, benefits all learners, and is very efficient" is a thought worth unpacking
#ITeachMath
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@KRenaeP
The instructional time we get back is 10x (100?) the worth of the data we get from the tests
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This seems to be what some people are thinking of when they talk about the “good old days” of
#math
#education
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12th grader: "you said something that really stuck with me and I haven't been able to stop thinking about it since. You said something about how the type of math student you are should not be defined by how good you were at those 60 second
#math
worksheets...
#ITeachMath
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I have learned to say “what makes sense about this” or “ask a question about this” rather than “does that make sense”
#ITeachMath
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Related:
Subtweeting: don’t ever fall back on “there isn’t enough time in the course to properly
#teach
the material”. Why are we designing courses that we can’t finish? Who are we serving?
#ITeachMath
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“Words matter. Words convey and confirm how we treat each other. When it comes to
#mathematics
, seemingly innocent words have a lot of power.” -
@mdrzavala
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BREAKING: Leaked documents from
@NCTM
reveal efforts to subvert families’ dislike of
#math
and nurture students’ positive math identities. Radical agenda for enabling students to critique the world. Indoctrination into belief in the power of their own efforts.
#education
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Joining the bandwagon… we shouldn’t let the needs of those who will use math in a narrow range of STEM fields dictate when, where, how and what everyone learns math.
#ITeachMath
What opinion about math education would have you like this?
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But why?
AP Precalculus is designed for every student who’s ready to take precalculus in high school and can be offered in place of your current precalculus or trigonometry course. Explore the new course.
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When I see something “brand new” in math ed I often pull out this book from 1970. So important to see where we’ve been as we look forward. (Spoilers: we’ve known a lot of things for a long time!) Looking forward to centennial!
@robertqberry
@EdDickeyUSC
@TrenaWilkerson
@NCTM
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Subtweet: the “You’re there to teach
#math
, nothing else” crowd seems to believe math includes national defense and the defense of capitalism 🤔
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1979: “There is a misconception among people and school children about the nature of mathematics,” said Anneli Lax, professor of mathematics at New York University. “They consider it a matter of rules and regulations instead of thinking.”
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When someone says it's important for kids to engage in inquiry, they don’t mean they want students to “struggle aimlessly and discover everything for themselves."
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When you’ve got novices, you actually need to listen to their thinking, not just get on with explaining things to them – you have to give them problems to solve so you can see how they are interpreting the ideas you are presenting”
“When you’ve got novices, you actually need to teach them things, not just let them get on with trying to solve problems – you actually have to teach them some strategies they can use to solve the problem…"
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Wow, this is bringing out the trolls. Please retweet widely. 😎
#equity
#socialjustice
#iteachmath
#MTBoS
@blaw0013
@robertqberry
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@JoJoFromJerz
@ClayTravis
Clay:
Protesters in Nashville are blocking roads at rush hour because Trump got elected? Hell. No. Put them in jail a month.
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😇😇😇 “The final files that you submitted for your manuscript have been checked and found to be suitable for publication.
Sincerely,
#MTLT
@NCTM
Editorial Office”
#ITeachMath
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None of the previous posts about this book gave me the right sense of scale. I was taken aback upon its arrival today. So, for future reference, “Proofs” photographed with other common household objects.
#math
@LongFormMath
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“No one in government could stand up at that time and say ‘This is wrong.’ And that includes gay people.” 🧐
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The goal is to keep
#math
students learning more math, not to whittle down the numbers of students who are succeeding.
#education
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I want to help make a world where 89 and 90 are considered the same grade. Because they are the same grade.
#ITeachMath
Officially on summer break today so I went to DMV to renew my license. LOL. First year teaching HS done… emails about kids wanting 89% bumped up to 90% is hectic. My view is nearly all stay that way or I am treating students unfairly.
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Watching as different people spin their own narratives with this piece. There are no heroes in “math wars”; we all lose.
NEW: Jo Boaler of Stanford is the most influential math-education expert in the country. She’s helping draft a framework for how California should teach math. But critics say her claims don’t always add up.
My
@chronicle
cover story on the math wars. 🧵
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Did you ever wonder why so few of our
#math
curricula make explanatory methods like this central to students’ experiences?
#ITeachMath
New TikTok video: Have you ever wondered why the geometric mean of 2 numbers is sqrt(ab)? Here's how we can see it visually!
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Newton was an underachiever. By the age of 12, Émilie du Châtelet spoke 6 languages. While raising 3 children and managing the household, by the age of 31 she predicted infrared light. Before she was 42, she derived the Law of Conservation of Energy (correcting Newton). 😉
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I can imagine a version of high school
#education
that is not focused on memorizing a whole bunch of stuff.
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A
#math
class should not be a place where you are always on your defensive. It can be a place where you learn how to trust others, how to work with others in community, communicate your ideas without shame… make errors…
@stevenstrogatz
@mathyawp
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I have not seen strong evidence that we won’t be saying very similar things about calculus in 2087. This would be to the detriment of calculus, math, our students, and society.
@stevenstrogatz
@averypickford
@joboaler
@Freakonomics
@profkeithdevlin
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When you get a
#COVID19
#vaccine
appointment, and then you get one of the 30 registration desks at random, and then the representative says, you were my
#calculus
#math
teacher in 2001.
#ITeachMath
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The best way to handle the “Why are we learning this?” question for early-grade
#math
, in my opinion, is to teach the basics in a way that is sufficiently interesting and stimulating that the question doesn’t arise. -
@profkeithdevlin
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"Some have discovered, by listening to students, that interesting things are in fact going on in students' heads. Students are thinking, seeing patterns and analogies, but not necessarily the ones the teacher had in mind" - Anneli Lax
@maanow
@Trianglemancsd
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If we really wanted educational “results” people call for, classroom
#teachers
would have a support team of researchers, designers, and other specialists whose primary job was to support classroom instruction. There would be a whole additional team on student support.
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@Rwill98
Haven’t you heard there are millions who could do our jobs and are just being kept out by silly accreditation rules? 😂
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