Sarah

A dozen pocket rocks. #mathphoto23 #dozen

@fawnpnguyen A different bar model approach. Since the number of bananas didn’t change, 3 parts had to become 2 parts without changing the boxes - so each part is now 1.5 boxes. Making the kiwis into 3 parts of the same size showed the fraction made up by the 3 eaten kiwis.

Loved your submissions yesterday! Thank you. Want to try this one via a DIFFERENT strategy? (Share with your kids!) The ratio of bananas to kiwifruit available in a canteen was 3:5, but after 3 of the kiwifruit had been eaten the ratio became 2:3. How many bananas were there?

@fawnpnguyen A bar model approach:

Please play along if you'd like. How would you (and your students) solve this? The ratio of apples to oranges at a fruit stall was 5 to 3. After 15 apples and 15 oranges were sold, the ratio became 5 to 2. How many apples and oranges were there at the start?

@pwharris C, but I think of it less formally. I recognize 144 as twelve 12s. Half of that is six 12s. Six 12s are 72. (If I don’t remember that six 12s are 72, I add a 12 to 60. I know that five 12s are 60 because twelve 5s are 60 - I see them in the 12 numbers on a clock.)

Which is your fav for halving 144? Which do you wish your brain did naturally? Why? Mathematicians play with halving! When we play with halves, we're exhibiting mathematical behavior. #MTBoS #ITeachMath #MathIsFigureOutAble #Elemmathchat #MSmathchat #HSmathchat #MathStratChat

My nephew just turned 8. These are his thoughts on math: "The reason I like math is there's no right or wrong way to do it. The only wrong way to do math is not to do math." #ANNMath

#howmany #unitchat #ANNMath

@JMV_Jaramillo @mathladyhazel I don't think there should be symmetry. The circles along the top determine the x's and the circles down the side determine the y's. Since the graphs of cos and sin are different, we get different graphs when we double the argument of one vs the other.

@mathladyhazel There should be symmetry. Mai@ diagonal are circles, this implies that angular speed of circles in rows and columns is the same. Hence figure Aji in the matrix should be the same as Aij except for the orientation. However, there is no symmetry. Nice gif but something weird in it.

@jamestanton Rearranging the groups can help you see why the total stays the same. Make each new group by taking one from each of the original groups. If we get used to visualizing and playing with numbers, these ideas make sense. They may not be immediately obvious, but they become clear.

It takes quite a flash of insight to see why repeated addition of the counting numbers is commutative. I would argue it is a priori far from obvious. Would you agree? Would your students agree? [Warning: Math has the trouble of reducing much to "obvious" once you see what to do.]

@jamestanton The standard algorithm hides the sense of what is going on. With partial products (especially if developed from area models), you can see why the product comes out the same regardless of the order of the factors.

Can't wait to lead Using Math to Identify & Impact Social Justice Issues in Our Lives w/@MathSarahLL next Thursday 9/15. Teaching proportional reasoning & statistical literacy using materials from The Change Agent for #AdultEdu. Register: sabes.org/event/38466 @TERCAdultNumrcy

🟨🟪🟩🟨🟩🟪🟩🟨🟪🟨 🟪🟩🟨🟩🟨🟩🟨🟪🟨🟪 🟩🟨🟩🟩🟩🟨🟪🟩🟪🟨 🟨🟩🟩🟩🟨🟪🟨🟪🟨🟩 🟩🟨🟩🟨🟪🟩🟪🟨🟩🟪 🟩🟩🟨🟪🟩🟪🟨🟩🟨🟩 🟩🟨🟪🟨🟪🟨🟩🟩🟩🟨 🟨🟪🟩🟪🟨🟩🟩🟩🟨🟩 🟪🟨🟪🟨🟩🟨🟩🟨🟩🟪 🟩🟪🟨🟩🟩🟩🟨🟩🟪🟨

ANN is creating a new board position of Equity Officer and looking to provide a platform for emerging leaders. adultnumeracynetwork.org/Open-Board-Pos… @todosmath @NCTM #AdultEdu #MTBoS (Candidates should fill out the brief interest form by 9/17.)

@mtrushkowsky So cool! I’m thrilled that she liked it! Did you leave it going to check in the morning?

Kudos @MathSarahLL! Liv saw this & is hooked. She figured out every time a column reaches the top, the column to the left goes up one. Her quote of the night: “Can I just stay up for the joy of seeing one yellow?” Her current guess for reaching a million: 200 min. #tmwyk #Desmos

@mtrushkowsky I see some that aren't hexagons. I bet it's a Voronoi pattern!

Hexagons in our daisies.

Our hollyhock has a pentagonal heart.

1/7 is about 14%. 1/14 is about 7%. Coincidence? #ANNMath #mtbos

I loved (& learned from) every minute of planning the #MathArt section of #ANNMath Institute w/ @MathSarahLL & @dcrescitelli. I'm proud of our @Desmos activity for #AdultEdu (bit.ly/ANNInterlockin…) & exploration of symmetry in design through coloring (bit.ly/ANNSymmetryDes…).

@SABESPD @MATHandNUMERACY It's a two-day event! Come join us today! community.lincs.ed.gov/group/24/discu…

Sorry to have missed this, @MATHandNUMERACY. How'd it go?

@eappleton @tuesday_october @mtrushkowsky I’m not sure I’ll be able to help with that ... but I’ll give it a try.

My new favorite activity is getting beat at chess. @tuesday_october @mtrushkowsky @MathSarahLL