Paul Goldenberg

Check out "Math+C: Mathematics through Programming in Grades 2–5" videohall.com/p/2475 #STEMvideohall

Rochester demands a budget that invests in care, not cops. Yesterday, voters elected new leadership to meet the moment: @realmalikevans @iknowstanley Our fight isn't over. Demand #ROC leaders #DefendBlackLives + divest from RPD! @mitchgruber @LDHarris01 act.newmode.net/action/color-c…

.@MPattersonrocny,@realmalikevans,@LDHarris01,@WLightfoot4U,@mitchgruber RPD is a threat to Black lives. ROC City Council must take bold action to re-imagine public safety and protect Black people. bit.ly/roc-action

.@debates The deaf community deserves to know and should be included. Make sure we have ASL interpreters and real-time /accurate/ closed captioning services at tonight’s FINAL presidential debate! @debates, to do otherwise is discriminatory. #DisabledandBlack #debates

.@MayorBowser, @GovRaimondo, @RepSlotkin, @RepStefanik. Still time to follow @dreamhampton & @HillaryClinton’s lead & refuse to help rehabilitate a child snatcher at #FortuneMPW. Don’t help Kirstjen Nielsen make over her image. #NoSoftLanding #StopNormalizingHate

Good afternoon @IAmAmnaNawaz - There’s still time to back out of your Kirstjen Nielsen Rehabilitation Tour interview at #FortuneMPW. There’s no world where it’s OK to help a perpetrator of atrocities launder her reputation. #NoSoftLanding #StopNormalizingHate

One more day till @Deloitte, @guardianlife, @HSIItweets, @HermanMiller, @salesforce, @intel, @Cisco, @JNJCares, @mmlafleur, @TamaraMellon, @Target, @GoldmanSachs, @RBC use their brands to help rehabilitate child snatcher Kirstjen Nielsen at #FortuneMPW #NoSoftLanding

.@facebook @pinterest @uber @airbnb @Salesforce @WeAreNetflix @eventbrite @EBay @Telsa @LEVIS @AskTarget @OldNavy @Gap Why are powerful women from your companies sharing #FortuneMPW stage w child-snatcher Kirstjen Nielsen? #NoSoftLanding #StopNormalizingHate

Afternoon @AmbassadorRice. Tonight you take the stage at #FortuneMPW. Tomorrow @Fortune helps child snatcher Kirstjen Nielsen rehabilitate her image. There's still time to follow @dreamhampton & @HillaryClinton's lead & refuse to participate. #NoSoftLanding #StopNormalizingHate

@poly_math_ @michel1erussel1 @MT_at_NCTM @NCTM Thanks. We think what's important is that curiosity is sparked often in class and recognized and taken seriously by at least the teacher, and that students are given the chance—if they want—to pursue at least some of the questions they raise. @MATHatEDC @EDCtweets #MTchat @nctm

@michel1erussel1 I agree...the @MT_at_NCTM article “A Student Asks about (–5)!” bit.ly/2I9YFm8 by @epaulgoldenberg & Cynthia Carter also referenced a similar scenario where the entire class did not explore the S question. @nctm #MTchat

@dajmeyer @CoolQuotz @EDCtweets What a wonderful idea! Until there's some reason to do otherwise, this beautifully captures an essential property. Thanks.

@epaulgoldenberg @CoolQuotz @EDCtweets I asked Ms10 about her negative number ray yesterday. Apparently it didn't need to make a right angle w/the positive number ray, a smaller angle was ok, too. The point was to indicate visually that x and -x are the same distance from 0, the point at which both rays start. #tmwyk

.@epaulgoldenberg, Ideas under construction: children saying what they know #more-2172" target="_blank" rel="nofollow noopener">blogs.ams.org/matheducation/… "That sets logic, not an answer to a particular question, at the center of the mathematical game. It values clarity, and it shows that we, too, struggle to communicate clearly."

@dajmeyer @CoolQuotz @EDCtweets Very cool. Did she say more about her idea, where it came from? As a kid (# lines weren't in schools until NSF institutes for fancy hi-schoolers), I added 8 + 5 (etc.) by picturing overflow in a 10-high graduated cylinder. Vertical # line! It seems many kids invent some analogue.

@epaulgoldenberg @CoolQuotz @EDCtweets Yes. I was surprised when my daughter thought the negative part of the number “line” should make a right angle with the positive part. I’m looking forward to explaining complex numbers to her!

@MathSciEditor Thanks, Katherine. (You can see how seldom I see notifications from Twitter. Sigh.) I've posted a new story in the same vein: #more-2172" target="_blank" rel="nofollow noopener">blogs.ams.org/matheducation/… @EDCtweets

@epaulgoldenberg It's all about listening to what kids *can* do and *are* thinking, and being curious about them.

Love this series of blogs from @epaulgoldenberg on kids' thinking in kindergarten. (This is the fourth post in the series; links to the others are at the bottom of the post.) ltd.edc.org/wrong-answers-…

@dajmeyer Thanks, David. Little ones /often/ have ideas about negative numbers—many even correct, though often with unexpected twists—but don't so often have names for the ideas or easy ways to express the ideas, so we have to watch. And sometimes guess. @MATHatEDC @EDCtweets

This is a great essay, that begins with a 5yo's conception of negative numbers, ironically, since the #CommonCore #math curriculum doesn't introduce them until 6th grade! #CCSS

Myths persist about how children learn #mathematical ideas - and these myths can be insidious, writes EDC's Goldenberg: mdpi.com/2227-7102/8/2/… @MDPIOpenAccess #STEM

@teachonyourtoes Oh, yes! And this also seems the way to teach that math isn't just rules—because DIFFERENT "rules" get seen! #MTchat

@BethNctm Thanks, Beth!

@chadtlowermath Comes from being really old! :-) & teaching forever. & loving kids and teachers. & math. I'm not sure which "this" you meant I had exp w.

@pearse_margie Thanks to you, and all. I enjoyed this, too! #MTchat