As a parent of two kids in NJ public schools, this ROCKS.
Looooongtime math teacher. Believe in the dignity and respect of every human being.
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As a parent of two kids in NJ public schools, this ROCKS.
My understanding is that without a warrant, it is legal to deny entry to one's house or other privately owned space. But I am not a lawyer.
Am I correct in thinking that an ICE agent w/out a warrant (judicial or admin) may be prevented, legally, from entering a private community? I'm thinking, in particular, of "gated" communities that are posted as "private", and a case in which ICE agents appear at the gatehouse and ask for entrance.
In 2001, I was lead counsel on a class action case on behalf of so-called "comfort women"--sex slaves who were kidnapped from grade schools and town squares across southeast Asia, ranked by race, and forced to service up to forty Japanese soldiers a day in concentration camps--and this made me cry.
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I'm pleased to introduce a full set of Congressional *and* legislative report cards, courtesy of the Princeton Gerrymandering Project. An enormous amount of work, the culmination of several years of development. Check it out! samwang.substack.com/p/redistrict...
What this really confirms is how profoundly corrupt and indefensible Trump and Stephen Miller's handling of this has been all throughout. Those of us commenting on this have argued all along that Trump *always* had the option of bringing him back and proceeding through lawful channels. 2/
āā¦restoration of law and orderā¦ā implies that there was no law and order in the district. Itās a different sense than āā¦improveā¦ā or āā¦assist withā¦ā Thanks for sharing. Does the press have this information?
He has kept among us, in times of peace, Standing Armies without the Consent of our legislatures.
Suppose a black square and a white square are each chosen randomly. What is the probability that it will be possible to cover the remaining squares with dominoes? What about (2n)x(2n) boards? 2n x m boards? So many extensions!
This problem "rhymes" with an old favorite. A standard chess board has had two diagonally opposite corner squares removed. Can the remaining 62 squares of the board board be covered with 31 rectangular dominoes, each of which covers exactly two squares? 1/2
This is the updated "buses sent by Soros" trope. I don't allow myself much optimism these days, but it's hard to see this claim working. The NG folks from Ohio, etc. can see with their own eyes who the protesters are, and will know that they are not being welcomed by the people who live in DC.
Congratulations - such an important topic!
...it's near impossible to properly distribute stats material across the curriculum (from A1 through Calc) if there is only one person who has a full grasp of it. And it's essential that students understand statistical ideas even if they never end up taking a full stats class. 2/2
When I was math DC, we made an effort to have multiple "stats folks" in our 15-member dept. I was so proud of this fact that I used to put in our promo materials (we're an indep school) that while most schools had one stats knowledgable person, we had many. Importantly..... 1/2
Same. However the link still worked. I posted an image of the headline with the link below.
A) The vast majority are national. However, we are a boarding school that provides housing for nearly all teachers, so it may not be comparable to a day school. B) It varies, but typically most are above 10. I just retired after 46 years!
Thank you! This earned a quick donation to VoteBeat!
My team at the Crowd Counting Consortium (@djpressman.bsky.social, Soha Hammam, & Chris Shay) has finalized our participation estimates for No Kings Day on 6/14. Here are five key takeawaysš§µ:
This is so important. The so-called "officers" have drunk the kool-aid, and think they are performing a service for the city. Mass protests and shaming will let them know they are not wanted. Thank you for documenting and sharing this!
Trump can crash the democracy before the courts even get their robes on, assuming they even want to stop him.
He gets 30 days of NG/Military power in DC if he says "Emergency!". Suppose on Jan 1, 2027 he sends troops into DC that stop the seating of new reps. Or 1/1/29 to stop the counting of EVs. These are 100% legal steps he can take to keep his R congress or stay in office.
Why are stamps adorned with kings and presidents? That we may lick their hinder parts and thump their heads. Howard Nemerov
Lovely problem!
Read this. āEven in darkness, there is incandescenceāthe flicker flames of everyday people fixed on the side of morality. I want to recognize myself in the mirror when this endsā¦ Make yourself recognizable with me. Together, we can build an America we believe in.ā www.thenation.com/article/acti...
My fave: 1st hw assignment includes posting a brief video to our LMS in which you pronounce your name, tell how you like to be called, and tell me one thing about yourself that youād like me to know. Always a delight to watch and respond to, and I can review pronunciation any time. #iTeachMath
Lol
Iāll concede that thatās a possibility, as in thereās are charts of the same data for āhigh incomeā and ālow incomeā. Maybe.
The importance of teaching statistics. This is apparently a chart of "MEDIUM INCOME". #iTeachMath
Our AP Stats folks, though, liked the nSpire, and kept requiring them. So that the AP Stats tail didn't wag the dog, we ended up investing in a classroom set just for AP Stats, and letting kids use 84s, Desmos on a SmartPhone, etc. elsewhere. 2/2
Full disclosure: I was a Math dept. chair who was persuaded that the nSpire (which, at the time, wasn't much more costly than a new 84) would open up opportunities for cool classroom experiences, and I was part of requiring it. A few Ts did a few things, but not much. It was a poor decision. 1/2
Homer explains why we need to speak up *today*, not tomorrow!
By and large, teachers *in general* haven't invested in the nSpire learning curve. Unless a school has got one in the hands of every student and is working to take advantage of its features, an nSpire will just be a hard-to-use version of an 84. Choose 84 if you must have a handheld. IMHO
I don't trust them as far as I can throw them, but this looks like sloppiness or a glitch rather than a conspiracy. Text has been dropped from the middle of Section 8 (ending at a semicolon!) to the end of Article I. If they wanted to be diabolical, they would have rewritten/edited, I think.
As an introductory exercise, I found it useful to consider the problem of finding the intersection of the circle with radius P and center at (P,0) with the circle of radius Q and center at (0,Q). E.g., show that the POI lies on y=(P/Q)x. Tons of approaches possible, inversion being one. 3/3
I've found a reasonably nice solution to this using inversion. Because the answer is a weird looking fraction, I'm wondering if perhaps there actually isn't a pretty geometric solution to this pretty problem! 2/3
I saw the responses suggesting "inversion" - i.e. recasting the problem by writing equations r= and then rewriting them as r'=1/r=. I've still managed to avoid looking inversion up š, but I've done some thinking and experimenting with it - it's a surprising and cool technique. 1/3
Agreed. When I taught BC Calculus, I made it a policy not to use "AP questions" or refer to the AP at all until March. No "when they grade your FRQ....", etc. We thus spent the bulk of the year thinking about Calculus, not "BC Calculus". It worked fine. I did the same thing in teaching AP CS, btw.
P.S. I flipped the image across the horizontal so that the given circles had centered on an axis, making it easier to write the polar equations in terms of r. @samjshah.bsky.social
So, I've captured everything in a Desmos sheet EXCEPT how to take the final circle and un-invert it to find the uninverted center and radius. Any hints? I'm avoiding "reading up" on inversion, but I will if needed! www.desmos.com/calculator/r...
Most of this seems pretty straightforward, so I'm guessing that the trick is finding the radius of the circle that is tangent to three circular arcs. Hm.....
academic.oup.com/qje/article-...
When Elon's goons arrived at the US Institute for Peace and were turned away, they returned the next day with U.S. Marshals and pushed their way in. Is this what needs to be done for Congresspeople to gain lawful access to ICE facilities? If not, why not?
No! Have your laptop out over your breakfast and add that thing you thought of as you were drifting off to sleep! At least that's how I do it š
www.cnn.com/2025/08/04/u...
6/20 is 3/10 or 30%. 0.3 * 36 is 3/10*36. 3*36 is 90 + 3*6 or 108. 108/10 is 10.8 so $10.80.
Jfc
Iām becoming a @benjamindickman.bsky.social fanboy š Good luck with everything!
Meanwhile, @benjamindickman.bsky.social previous post (about points with distances greater to the sides than to the center) looks like a Reuleaux, but is not because the sides are parabolic rather than circular arcs.
I vote for "of course". Each of these arcs is formed by a diagonal of the pentagon as it is rotated about one of the corners of the equilaterial triangle. From what I recall, that's precisely how one makes a Reuleaux triangle. It's interesting that it takes a few times around for this to emerge.
So weāre the only outlet that finds it newsworthy that the company behind @GovBillLeeās Tesla tunnel project was founded by Leeās Economic Development Commissioner Stuart Mcwhorterās father? And their execs hid their IDās when blocking @brotherjones_ from the event?
Please combine this with the report that all 4-star general nominations must have a personal interview with Trump. No more Milleys allowed. I wish I could say that this memo surprises me, but not in the least.
In other news, the little girl who said that the Emperor had no clothes has been deported to CECOT.
Trump was impeached, twice. Considering posting this every day until the Smithsonian corrects its exhibit. Feel free to join me.
Also, it appears to have left off the horizontal axis label ("hours") and moved the horizontal axis values from the middle of the gridlines to fall directly under each gridline.
Oh, yes. Would definitely do this! 1 min +30 sec is two presses. Strangely (and to my spouse, annoyingly) if I take something out early, I āsaveā the remaining seconds in case I can use them for the next thing.
Now fit this with the usage in which the top scorer in the Tripos is called the Senior Wrangler.
That press event Trump just did was as bleak as it gets. We better hope what he said about prosecuting Democrats for treason and other false allegations is just bluster, or we are headed to an extremely dark place.
No, we need to rename March 14 similarly. Iām sure these pi days have done more good than harm, but a base 10 approximation is a pretty weak excuse to celebrate an irrational universal constant. IMHO of course!
14/40 is 7/20 which is 3.5/10 or 35/100, aka 35%
Yes but: The screw threads on these (my spouse uses them) are opposite to those of most devices. I don't know why!
100% my pet peeve!!!
āIt turned out, I had made a terrible mistake: I had remained friends with someone who had appeared on Kash Patelās enemies list. How did Bongino find out about this private friendship? I honestly donāt know. ā¦ I faced a choice: get demoted or resign.ā www.lawfaremedia.org/article/good...
I got an email directly.
Yes. MAGAs are saying the bad health outcomes Dems are describing are false "doom and gloom" and meant to scare. When they don't appear right away, MAGAs will say "See, the Dems were lying!".
www.nytimes.com/2025/07/02/u...
I found that females with B's in the prior course thought they were bad at science, while boys with B's thought they were good at science! The females disproportionately self-selected out because of self-perception. Anyway, you might learn something ov value. 2/2
I wonder if some research might be useful. Interviews with female students who didn't choose Further Maths, for example. Early in my career I studied female vs male election of the more rigorous Chem elective. 1/2
Why?
x^2 < 1 is not a system, it's a quadratic inequality. It's solution set can be given as a system, { x>-1, x < 1}. These are all questions of definition, not of math, so there's no right/wrong. But I think it bends the conventional understanding of the word "system" to call it a system.
(IMO) I wouldn't call any of these a "system". I would call them absolute value inequalities or abs value equation. Each is an absolute value inequality/equality. Your 1st example can be *rewritten as* a system of inequalities. I reserve "system" for a set of statements all of which must be true.
I agree, the keyword being "all", which implies "and".
I think a "system of equations" (or inequalities) is a set of equations (or inequalities) that *all* must be true, i.e., they are conjoined with "and". These two inequalities are combined with "or" operators, so I wouldn't call it a "system".
cool english.elpais.com/science-tech... the arXiv paper: arxiv.org/abs/2502.06137
You might find this 3D version interesting. Rather than taking a specific level curve at the value of k, I plot the whole surface. www.desmos.com/3d/1sshgtd1sf
Dachau in July 1933... reported in the New York Times timesmachine.nytimes.com/timesmachine...
Andry JosĆ© HernĆ”ndez Romero, I remember you, even if I do not know how to articulate my horror, rage, & sorrow at your treatment by my government. No one has heard from you in 109 days. As vigil, Iām posting a photo or video of you every day until you are returned from El Salvador.
Golly, she is despicable. I hope she got a good payment in exchange for her soul.
Read the Wiki article about her life and career, and consider how much more humankind could have accomplished had we not carried around so much bigotry. And consider how much we we stand to lose as we return to it.
Wow! www.nytimes.com/2025/06/28/w...
Federal agents used explosives to enter a U.S. citizenās home and entered ā guns drawn ā on a baby, a 6-year-old, and their mother. She believes itās because her boyfriend attended an ICE protest where he accidentally hit a cop car (and was released by cops). www.nbclosangeles.com/news/local/h...
Justice Ketanji Brown Jacksonās dissent hits the target. She is reminding us of the stakes in this case. And she is spot on. www.supremecourt.gov/opinions/24p...
He heard that there were "asylum seekers" coming to the U.S. who were, you know, seeking asylums. He 100% thinks this bc no one in his circle is willing to correct him or, if they are, the message can't penetrate his so-called "mind".
Reminder that "no tax on SS" is not in the Big Baloney Bill, even though he's talking about it. www.kiplinger.com/taxes/no-soc...
Wow. There's no daylight between Bove's "F*** off!" to the courts annd Vought's "We won't need to follow the law."
...or clever applications of the latest technology tools. This is true from Pre-K to Senior year, from coloring between the lines to mastering Stokes' Law!
Great! (...although I might have preferred labels to folders). Also, you can now go into Desmos and choose the tool you want (Geo, 3D, etc.) rather than having to specify different URLs. #iteachmath #mtbos
Sorry - the OP (understandably) left out part of the question, so there was no equation to be rearranged. I'm in the U.S. so the talk about U.K. exams often fascinates, but sometimes confuses me!
The problem doesn't provide a function, so it's like saying "Differentiate xy" which must have a y' in the answer, assuming we are diffentiating wrt x.
(Yes). I used the same idea and got the same result.
My formers donāt need to see my photos of grandkids, nor my political posts, as they would were we FB friends.š
Exactly right!
Opposing viewpoint: LinkedIn is the way I keep track of the careers and accomplishments of my former students, and how I sometimes can connect young alums with more senior ones to help them. I love seeing what they are up to! I just try to ignore the nonsense.
prospect.org/politics/202...
I'm signed up! #mtbos #iteachmath
You, @ahestenes.bsky.social seem experienced, creative, and eager to learn (I read your bio š). What books/PD made a difference for you? Maybe they would most benefit from reading/discussing a book along with you? Book + conversation >> book alone. 2/2
True to form :), I'd probably answer the question with questions! Are they fascinated with math but new to teachinng? Do they have experience working with kids but not with math? What level? Are they nervous about the classroom? Do they need to be freed from trad math thinking? 1/2
Also would add "Between the Folds" about the connection between math and art in Origami. It pays tribute to (and interviews) some amazing traditional Origami artists as well as contemporary mathematicians. And we use The Proof (Nova) on Wiles/Fermat every year.
