#TCMchat Archive | Participate

BethNctm Nov 9 @ 9:00 PM EST

This group is trying to hijack the #TCMchat.Ignore them. Please keep the conversation on Twitter.

participatelrn Nov 9 @ 8:59 PM EST

#TCMchat is coming right up! Participate in the conversation at https://t.co/Z33oNQjSTJ #CollaborativePD

TCM_at_NCTM - Moderator Nov 9 @ 9:01 PM EST

Q1 info: The author built upon the 5 Practices model by focusing on the HOW and WHY of selecting and sequencing Ss strategies #TCMchat

TCM_at_NCTM - Moderator Nov 9 @ 9:01 PM EST

Q1 What factors do you consider when selecting which students will share their solution strategies during whole-class discussions? #TCMchat

Zakchamp Nov 9 @ 9:02 PM EST

Zak Champagne here - Researcher in Florida at FCR-STEM & former elementary teacher. Excited for some positive conversation tonight! #TCMChat

zack_hill Nov 9 @ 9:02 PM EST

Hi! Zack Hill, K-5 Math Coach from Florida. Excited to discuss this article. #TCMchat

Zakchamp Nov 9 @ 9:02 PM EST

Welcome my friend! Glad to see you here. #TCMChat

In reply to @zack_hill

tmchiepp Nov 9 @ 9:03 PM EST

A1: select and sequence in ways that promote the mathematical goal of the lesson. Hi yall, Toni from the Sunshine State ☀️ #TCMchat

zack_hill Nov 9 @ 9:04 PM EST

Thanks, good to "see" you too! #TCMchat

In reply to @Zakchamp

Zakchamp Nov 9 @ 9:04 PM EST

A1: Clarity in model and explanation. Alignment to goal/standard/plan. Equitable distribution of the voices in the classroom. #TCMChat

PSemicek Nov 9 @ 9:05 PM EST

Patrice... Math consultant for a PA intermediate unit. #TCMchat

BethNctm Nov 9 @ 9:05 PM EST

Hi all! I am Beth, your TCM editor. I'm so happy to talk math ed tonight at another #TCMchat

Zakchamp Nov 9 @ 9:05 PM EST

A1 (Part Two): Really thinking about the equity piece tonight. Let's make sure all of our students' voices are heard. #TCMChat

pearse_margie Nov 9 @ 9:06 PM EST

#TCMChat

pearse_margie Nov 9 @ 9:04 PM EST

#NCTMChat A1: I consider the mathematical goal of lesson, how I anticipated the sequence to be so my Ss would have best access to the goal

tmchiepp Nov 9 @ 9:06 PM EST

Equitable distribution of the voices in the classroom #TCMchat #vcsvset 3b discussion techniques

Zakchamp Nov 9 @ 9:04 PM EST

A1: Clarity in model and explanation. Alignment to goal/standard/plan. Equitable distribution of the voices in the classroom. #TCMChat

Rhombi_Doc Nov 9 @ 9:06 PM EST

Hello! It's Rebecca from Mississippi State. I'm a MTMS Panel Member. Looking forward to another great #TCMchat

PSemicek Nov 9 @ 9:06 PM EST

A1: clarity of understanding, a variety of solutions and methods that can form a logical order for presentation #TCMChat

zack_hill Nov 9 @ 9:06 PM EST

A1 The mathematical goal of the lesson, representations that can surface this goal. #TCMchat

Zakchamp Nov 9 @ 9:07 PM EST

I know there is a larger mathematical goal in mind at all times. But it seems important to make sure that we address it. #TCMChat

pearse_margie Nov 9 @ 9:07 PM EST

#TCMChat Hi! Margie from PA K-12 math coach

tmchiepp Nov 9 @ 9:07 PM EST

I am a Kagan junkie #tcmchat

In reply to @Zakchamp

Zakchamp Nov 9 @ 9:07 PM EST

So important! Sometimes we have to set aside our goals to ensure we hear from all of our students. #TCMChat

In reply to @jennalaib

TCM_at_NCTM - Moderator Nov 9 @ 9:08 PM EST

Hi Margie, I always look forward to seeing you here. :-) #TCMchat

pearse_margie Nov 9 @ 9:07 PM EST

#TCMChat Hi! Margie from PA K-12 math coach

jennalaib Nov 9 @ 9:08 PM EST

Promote students to make connections between representations/work samples #tcmchat

In reply to @PSemicek

tmchiepp Nov 9 @ 9:08 PM EST

Keep the mathematical learning Gail front and center #tcmchat

zack_hill Nov 9 @ 9:06 PM EST

A1 The mathematical goal of the lesson, representations that can surface this goal. #TCMchat

Zakchamp Nov 9 @ 9:08 PM EST

Logical order - I love this phrasing. #TCMChat

In reply to @PSemicek

zack_hill Nov 9 @ 9:09 PM EST

Sometimes the idea we are want can come from the S we may least expect to put the idea out there in the discussion. #TCMchat

In reply to @Zakchamp

Zakchamp Nov 9 @ 9:09 PM EST

This is what we play for! #TCMChat

zack_hill Nov 9 @ 9:09 PM EST

Sometimes the idea we are want can come from the S we may least expect to put the idea out there in the discussion. #TCMchat
In reply to @Zakchamp

tmchiepp Nov 9 @ 9:09 PM EST

"juxtaposing" #tcmchat

In reply to @Zakchamp, @PSemicek

TCM_at_NCTM - Moderator Nov 9 @ 9:10 PM EST

Q2 What are some of the challenges you have faced with selecting and sequencing solution strategies?#TCMchat

Zakchamp Nov 9 @ 9:11 PM EST

A2: I'll answer this question with another question. Do we always go from least sophisticated to more sophisticated? #TCMChat

drkchilds Nov 9 @ 9:11 PM EST

A2: ensuring common misconceptions are also represented for students to make sense of #tcmchat

PSemicek Nov 9 @ 9:12 PM EST

A2: Sometimes their paper shows one way of thinking but their explanation tells something different. It can derail conversation #TCMChat

Zakchamp Nov 9 @ 9:12 PM EST

A2: Or do we sometimes focus the sharing on 2-4 similar solution strategies from the class to get at one particular idea? #TCMChat

tmchiepp Nov 9 @ 9:12 PM EST

A2: timing, wanting to insert (into the sequence) an unanticipated strategy #TCMchat

jennalaib Nov 9 @ 9:13 PM EST

That's usually my instinct, but sometimes I override this. e.g. sometimes I show the simplest, most clear rep last. #tcmchat

In reply to @Zakchamp

zack_hill Nov 9 @ 9:13 PM EST

A2 Being sure that we have a precise learning goal that drives the selecting and sequencing. #TCMchat

Zakchamp Nov 9 @ 9:13 PM EST

Yup! #TCMChat

drkchilds Nov 9 @ 9:11 PM EST

A2: ensuring common misconceptions are also represented for students to make sense of #tcmchat

drkchilds Nov 9 @ 9:13 PM EST

We "should" allow solutions to build upon one another as they are shared AND ensure connections are made #TCMChat

Zakchamp Nov 9 @ 9:11 PM EST

A2: I'll answer this question with another question. Do we always go from least sophisticated to more sophisticated? #TCMChat

jennalaib Nov 9 @ 9:13 PM EST

...and making certain that students feel comfortable with their work being used in this way! #tcmchat

In reply to @drkchilds

Zakchamp Nov 9 @ 9:14 PM EST

This can be scary though right? Sharing the one thing you didn't plan for. But to be clear - I TOTALLY agree. #TCMChat

In reply to @tmchiepp

pearse_margie Nov 9 @ 9:14 PM EST

#TCMChat A2: Sometimes it's hard to see the sequence in real time. I know the goal, but at times, the pieces don't seem to fit so nicely

FloradTeach Nov 9 @ 9:14 PM EST

A2 difficulty choosing based on how solution is demonstrated, want to show solution that is clear and easy to follow #TCMchat

drkchilds Nov 9 @ 9:15 PM EST

The key is creative a positive learning environment conducive to all student work being valuable #tcmchat

jennalaib Nov 9 @ 9:13 PM EST

...and making certain that students feel comfortable with their work being used in this way! #tcmchat
In reply to @drkchilds

jennalaib Nov 9 @ 9:15 PM EST

I feel the best when the solutions connect well -- smooth transitions. This doesn't mean it's always most valuable, tho #tcmchat

In reply to @drkchilds

Zakchamp Nov 9 @ 9:15 PM EST

Agreed - I feel like we are given the message that its always least sophisticated to more sophisticated &I've pushed back on that. #TCMChat

jennalaib Nov 9 @ 9:13 PM EST

That's usually my instinct, but sometimes I override this. e.g. sometimes I show the simplest, most clear rep last. #tcmchat
In reply to @Zakchamp

andieogden Nov 9 @ 9:15 PM EST

A2: Most of the time, but want to make sure misconceptions come out so ? & discussion clarifies. The learning is in the mistake. #TCMchat

tmchiepp Nov 9 @ 9:16 PM EST

it's a #TWOTCW moment, 66 Ss, 66 Ts @SteveWyborney #tcmchat

In reply to @Zakchamp, @SteveWyborney

jennalaib Nov 9 @ 9:16 PM EST

I've had Ss pick up on this before. They want their work to be last. Yikes. Would like to avoid impressing my values. #tcmchat

In reply to @Zakchamp

PSemicek Nov 9 @ 9:17 PM EST

#TCMChat I have found that writing a list of my desired strategies in the order I want to present them helps-just fill names

In reply to @pearse_margie

zack_hill Nov 9 @ 9:17 PM EST

Agreed, there are still lots of decisions to make in the moment even with detailed planning. #TCMchat

In reply to @pearse_margie

Zakchamp Nov 9 @ 9:17 PM EST

I could not agree more. #TCMChat

andieogden Nov 9 @ 9:16 PM EST

equity and access are more important on this day than ever before!
In reply to @Zakchamp

BethNctm Nov 9 @ 9:18 PM EST

Great idea. I would think that thinking through all of the possibilities that Ss might try is also helpful #TCMchat

PSemicek Nov 9 @ 9:17 PM EST

#TCMChat I have found that writing a list of my desired strategies in the order I want to present them helps-just fill names
In reply to @pearse_margie

jennalaib Nov 9 @ 9:18 PM EST

I struggle with this for small group discussions. What happens when I don't get the variety? #tcmchat

In reply to @PSemicek, @pearse_margie

pearse_margie Nov 9 @ 9:18 PM EST

Yes, sometimes I wish I could call "Freeze" and give me a minute to rethink things. :) #tcmchat

In reply to @zack_hill

Zakchamp Nov 9 @ 9:19 PM EST

Excellent question! Especially when your goal is a variety of ways to solve a problem. #TCMChat

jennalaib Nov 9 @ 9:18 PM EST

I struggle with this for small group discussions. What happens when I don't get the variety? #tcmchat
In reply to @PSemicek, @pearse_margie

PSemicek Nov 9 @ 9:20 PM EST

#TCMChat That's when I pose one from a fictional student and ask for similarities and differences.

In reply to @jennalaib, @pearse_margie

TCM_at_NCTM - Moderator Nov 9 @ 9:20 PM EST

Q3 How might a 5th grdr w/little to no formal operations on fraction inst solve 5/6 – 3/5. Which strategies would U share w/class? #TCMchat

drkchilds Nov 9 @ 9:21 PM EST

A3: draw a picture #tcmchat

Zakchamp Nov 9 @ 9:22 PM EST

A3: Well, there's the inevitable 2/1 - which is riddled with errors, but is intuitive to those with operation work on whole numbers #TCMChat

jamiedunc3 Nov 9 @ 9:22 PM EST

Agreed. Must keep mathematical goal at the center. What is it you want kids to understand about math? #tcmchat

zack_hill Nov 9 @ 9:13 PM EST

A2 Being sure that we have a precise learning goal that drives the selecting and sequencing. #TCMchat

jennalaib Nov 9 @ 9:23 PM EST

A3: by subtracting across numerator denominator. Or even estimating 'about' how much it will be #tcmchat

zack_hill Nov 9 @ 9:23 PM EST

It seems like this graphic would support that idea as well. #TCMchat

In reply to @Zakchamp

Zakchamp Nov 9 @ 9:23 PM EST

Yes to all of this. #TCMChat

zack_hill Nov 9 @ 9:13 PM EST

A2 Being sure that we have a precise learning goal that drives the selecting and sequencing. #TCMchat

drkchilds Nov 9 @ 9:23 PM EST

A3: estimation strategy #tcmchat

PSemicek Nov 9 @ 9:23 PM EST

#TCMchat I'd start with the most concrete rep. Fraction strips & use those to find equivalent fractions. Then draw and do the "traditional"

andieogden Nov 9 @ 9:24 PM EST

A3: What models could you use to represent 5/6? How could you subtract 3/5? Pictorial reps, esp rectangles & squares #TCMchat

jamiedunc3 Nov 9 @ 9:25 PM EST

A3: I'm thinking Number lines and unlabeled cuisenaire rods. #TCMChat

PSemicek Nov 9 @ 9:25 PM EST

#TCMchat This might be my new favorite visual. Loved hearing Peg Smith talk about it a few weeks ago

In reply to @zack_hill, @Zakchamp

pearse_margie Nov 9 @ 9:26 PM EST

#TCMChat A3: Our 5th graders might draw fraction bar models& decide whether difference would be closer to 0, 1/4, 1/2 or 3/4 by estimating

Zakchamp Nov 9 @ 9:26 PM EST

A3: I agree estimation is a key. 5/6 is almost 1 and 3/5 is more than 1/2. So the answer must be less than 1/2 and close to 1/4. #TCMChat

zack_hill Nov 9 @ 9:26 PM EST

Tell me more... Did she relate it to the practices of selecting and sequencing? #TCMchat

In reply to @PSemicek, @Zakchamp

PSemicek Nov 9 @ 9:28 PM EST

#TCMchat Yes. She was doing a day on teaching practices and this was one of the visuals she kept coming back to

In reply to @zack_hill, @Zakchamp

zack_hill Nov 9 @ 9:28 PM EST

A3 I like the solutions with the visual models because it could surface the need for common denominators. #TCMchat

jamiedunc3 Nov 9 @ 9:29 PM EST

Yes! Lesh model is powerful! #tcmchat

In reply to @PSemicek, @zack_hill, @Zakchamp

PSemicek Nov 9 @ 9:29 PM EST

#TCMchat She focused on different entry points and how we as teachers get comfortable and enter one or two ways

In reply to @zack_hill, @Zakchamp

pearse_margie Nov 9 @ 9:30 PM EST

#TCMChat My Tweetdeck is on slow motion for some reason. Sorry

TCM_at_NCTM - Moderator Nov 9 @ 9:30 PM EST

Q4 In what ways can U use “underlying concepts” as a focus to sequence and share S work rather than procedures/pedagogical moves? #TCMchat

TCM_at_NCTM - Moderator Nov 9 @ 9:30 PM EST

Q4 Info: Underlying concepts… #TCMchat

zack_hill Nov 9 @ 9:31 PM EST

Nice! Important to recognize that our comfort zone may not be the same as our Ss. #TCMchat

In reply to @PSemicek, @Zakchamp

Zakchamp Nov 9 @ 9:32 PM EST

A4: Use the math to drive the pedagogy. Sounds like a great plan and makes for one happy math teacher here! #TCMChat

jamiedunc3 Nov 9 @ 9:33 PM EST

A4: Student representations will have underlying structures that persist regardless of form. Build from C-R-A. #TCMchat

pearse_margie Nov 9 @ 9:34 PM EST

#TCMChat A4: Keep essential mathematical concepts as the foundation Be intentional in ways to cohesively bring the conversation to that goal

andieogden Nov 9 @ 9:35 PM EST

relating to benchmark fractions, Ss can determine 5/6 is a little<1, 3/5 a little >than 1/2, so A should be close to 0. #TCMchat

In reply to @Zakchamp

Zakchamp Nov 9 @ 9:35 PM EST

Ohhhh Nice. #TCMChat

In reply to @andieogden

jamiedunc3 Nov 9 @ 9:38 PM EST

A few student reps from this problem @MathMinds and I did together... from opposite sides of the country https://t.co/YDZeykigGg #TCMchat

PSemicek Nov 9 @ 9:40 PM EST

#TCMchat Love it!

In reply to @jamiedunc3, @MathMinds

TCM_at_NCTM - Moderator Nov 9 @ 9:40 PM EST

Q5 Meikle suggests that keeping the math learning goal front/center when selecting S work” is imp. In what ways is this helpful? #TCMchat

drkchilds Nov 9 @ 9:41 PM EST

A5: the learning goal allows one to remain "focused" when selecting student work, opposed to just arbitrarily selecting work #tcmchat

Zakchamp Nov 9 @ 9:41 PM EST

A5: Looks like we jumped the gun on this question. Do we all agree that the math goal is key in selecting student strategies? #TCMChat

PSemicek Nov 9 @ 9:41 PM EST

It helps you and Ss to keep on track. Without a clear and visible focus the lesson can easily go off track. #TCMchat

ericalitke Nov 9 @ 9:42 PM EST

PSA: If you couldn't get enough of #EDUC406chat, #TCMchat is still going on!

BethNctm Nov 9 @ 9:42 PM EST

A5 Keeping the goal in mind can help guide the selecting and sequencing #TCMchat

zack_hill Nov 9 @ 9:42 PM EST

A5 It helps you see through some of the unpredictability in the moment to ensure that an important mathematical idea surfaces. #TCMchat

Zakchamp Nov 9 @ 9:43 PM EST

A5: If you go into the student work time with your mathematical goal in mind, you are able to see the forest through the trees. #TCMChat

mathgeek76 Nov 9 @ 9:43 PM EST

i'd love to hear what ?s Ts use for step 5 to help Ss make connections for themselves and avoid direct instruction. #tcmchat

In reply to @TCM_at_NCTM

pearse_margie Nov 9 @ 9:44 PM EST

#tcmchat. Thanks @jamiedunc3 Here's our firsties giving your awesome problem a whirl! @FirstPhillyK_8

In reply to @jamiedunc3, @FirstPhillyK_8

jamiedunc3 Nov 9 @ 9:44 PM EST

A5: #TCMchat

tmchiepp Nov 9 @ 9:45 PM EST

or worse, asking for volunteers 😳 #tcmchat

In reply to @drkchilds

PSemicek Nov 9 @ 9:45 PM EST

#TCMchat I focus a lot on asking what is similar and what is different. I will also ask why do you think that? What evidence?

In reply to @mathgeek76

Zakchamp Nov 9 @ 9:45 PM EST

Yikes! Maybe even worse - the popsicle stick pull? #TCMChat

In reply to @tmchiepp, @drkchilds

andieogden Nov 9 @ 9:46 PM EST

A5 focusing on the goal will better equip T to chose relevant strategies that should be shared. #TCMchat

Zakchamp Nov 9 @ 9:48 PM EST

Ouch! Still hurts my heart to see this happening. #TCMChat

In reply to @drkchilds

pearse_margie Nov 9 @ 9:49 PM EST

#TCMChat A5: Intentionality as a teacher is important to making sure the direction of the lesson is productive

TCM_at_NCTM - Moderator Nov 9 @ 9:50 PM EST

Q6 Info: Rationale for sequencing solution strategies … #TCMchat

TCM_at_NCTM - Moderator Nov 9 @ 9:50 PM EST

Q6 How do you utilize comparing and contrasting of student work samples in your class? #TCMchat

Zakchamp Nov 9 @ 9:50 PM EST

I believe strongly in this: Ask permission from each student if they are willing to share their work before you do it. #TCMChat

jamiedunc3 Nov 9 @ 9:51 PM EST

Nice Patrice! These questions are probably the most important! Students who struggle will not see these connections alone. #tcmchat

PSemicek Nov 9 @ 9:45 PM EST

#TCMchat I focus a lot on asking what is similar and what is different. I will also ask why do you think that? What evidence?
In reply to @mathgeek76

Zakchamp Nov 9 @ 9:51 PM EST

This gives our students the right to say "No - I'm not ready to share this thinking yet." I know I need that option sometimes! #TCMChat

Zakchamp Nov 9 @ 9:50 PM EST

I believe strongly in this: Ask permission from each student if they are willing to share their work before you do it. #TCMChat

jamiedunc3 Nov 9 @ 9:51 PM EST

Yes, this part of the lesson is not show and tell! #tcmchat

In reply to @tmchiepp, @drkchilds

tmchiepp Nov 9 @ 9:52 PM EST

#tcmchat Which strategies are most alike? How is your strategy like one we discussed?

In reply to @mathgeek76, @TCM_at_NCTM

drkchilds Nov 9 @ 9:52 PM EST

A6: the key is not the "teacher" comparing & contrasting the strategies, but facilitating an environment for Ss to lead this #tcmchat

Zakchamp Nov 9 @ 9:52 PM EST

We've got a @TCM_at_NCTM Focus Issue coming real soon to address this! Stay tuned. #TCMChat

In reply to @TCM_at_NCTM

jamiedunc3 Nov 9 @ 9:51 PM EST

Yes, this part of the lesson is not show and tell! #tcmchat
In reply to @tmchiepp, @drkchilds

andieogden Nov 9 @ 9:53 PM EST

The most important part to me is for Ss to be able to determine the connections bw strategies to grow their thinking. #TCMChat

PSemicek Nov 9 @ 9:53 PM EST

#tcmchat yes! It's so important!

In reply to @drkchilds

zack_hill Nov 9 @ 9:54 PM EST

So agree with this, think this goes a long way in developing a community that's safe for S to share when they're ready. #TCMchat

In reply to @Zakchamp

pearse_margie Nov 9 @ 9:55 PM EST

#TCMchat A6: Luv to have groups present, post work & let Ss sit quietly & write what they notice; similar strategies? differences? We share

tmchiepp Nov 9 @ 9:55 PM EST

@PSemicek @mathgeek76 if you had to do this again, which strategy would you use and use? #tcmchat

In reply to @jamiedunc3, @PSemicek, @mathgeek76

Zakchamp Nov 9 @ 9:56 PM EST

Community - Another word that is resonating in my head today. This is a way to build it as we do the math. #TCMChat

In reply to @zack_hill

PSemicek Nov 9 @ 9:56 PM EST

#tcmchat I really like that one! It's going to be used next time!

In reply to @tmchiepp, @jamiedunc3, @mathgeek76

Zakchamp Nov 9 @ 9:58 PM EST

Thank you #TCMChat for giving me an hour of focused conversation on improving our mathematics instruction. I needed it. Love to you all.

jamiedunc3 Nov 9 @ 9:58 PM EST

Yes! Great for a journal reflection #tcmchat

In reply to @PSemicek, @tmchiepp, @mathgeek76

andieogden Nov 9 @ 9:58 PM EST

which strategy seems to be the most efficient? #TCMchat

In reply to @tmchiepp, @jamiedunc3, @PSemicek, @mathgeek76

BethNctm Nov 9 @ 9:59 PM EST

Thank you everyone, I really needed to be with my math ed tribe tonight #TCMchat

Zakchamp Nov 9 @ 9:59 PM EST

@BethNctm Good to be with you Beth! #TCMChat

In reply to @BethNctm

Rhombi_Doc Nov 9 @ 9:59 PM EST

It never ceases to amaze me how fast the hour flies by! Thanks to all for your insights. Hope you'll join the #MTMSchat next week! #TCMchat