School’s starting soon, so our kids have started anticipating, wondering, and talking about what might come in fifth and third grade. The other night at dinner, soon-to-be-third-grade Daphne burst into tears with worry about high-stakes testing, timed tests for multiplication facts, and math textbooks. My paraphrase of what she said, approved by Daphne:
That’s not even math to me. I mean, getting answers fast without thinking isn’t even math. I like it when there’s a problem I have to work on and work on and work on, where I get parts wrong and I have to go back to it and figure out what I did, where it might take me hours, weeks, or even months to figure it out. That’s the kind of math I like!
The kids are always like, “Why did that test take you so long? I thought you were good in math?” Sometimes I’m the last one done and they all talk about it. But as soon as I know the test is timed, I can’t think very well, so it takes me longer. And I also take a long time because I like thinking about the problems, not just rushing to get the answers.
And I wonder, you know how they have DEAR–Drop Everything and Read? It’s a time where you don’t have to do worksheets or sticky notes or read something assigned. You can just read what you enjoy. Why don’t they have it for math? I wish we could Drop Everything and Math. Instead of worksheets or tests or problems, the kids could just look around and see what interests them. We could find a question of our own and ask it and work on figuring it out until we’re satisfied. That’s the kind of math I like, like what I did in Ghirardelli Square.
While she talked, I had a flood of conflicting feelings and questions. Of course, I was overjoyed to hear that Daphne still knows what mathematics is, regardless of her experience in school math thus far. She’s still intact, for now.
I was simultaneously crushed, listening to her expectations for math this year. Oof.
But then there was her love of working on a hard problem over time, of persevering and enjoying the grappling. Sam and I told her it’s a much more important life skill than giving quick answers to fact-recall questions. I mean, this is a kid who likes to face down a worthy challenge. Check her out after a hard part of this week’s ropes course in the Adirondacks.
I was also struck by this idea of Drop Everything and Math. Because, while it’s beautiful, we all know that if a teacher at any grade in a U.S. school told students it was time to Drop Everything and Math, that teacher would face a room full of blank stares. A classful of students waiting to be told what to do. Maybe even a group of students angry about the unclear expectations and absence of directions.
Based on their experience, students have concluded that teachers and textbooks ask the questions and students answer them. We tell students what to do at every juncture, right down to whether we want them to box or circle their answer, or fill in a bubble (completely! With no stray marks!).
If our students would be paralyzed by the suggestion to find a mathematical question of their own to explore, then that’s a call to action. We need to do something different. Students need to learn how to pose their own mathematical problems and questions, not just answer somebody else’s. And I’m talking about genuine mathematical questions, not just word-problem writing.
If you want some suggestions to get you started, I’ve gathered a whole bunch of resources around question-asking and problem-posing on the CH 7 page. A few hits, briefly:
101questions is a super resource. It’s a huge bank of curiosity-provoking images. Ask your kids “What questions come to mind?” They don’t need to answer the questions–just practice asking. If you can only spare five minutes now and then, you can still introduce question-asking via 101qs. (For a recent blogpost about one way to use 101questions and a bulletin board, take a peek at Mrs. Beauchemin’s “Are Our Students Really Thinking?“)
Notice and Wonder. As Annie Fetter, Max Ray-Riek, and the rest of the gang at the Math Forum at NCTM have been teaching us, removing the question and asking students What do you notice? What do you wonder? opens tons of possibilities.
Take a mathematical walk and see what math your students can spot around your school.
Suggest students bring something mathy from home and have a gallery walk to discuss where they see math.
If your school is equipped with the technology, you can host your own MathPhoto challenge. Ask students to look for lines, symmetry, curves, intervals, etc. Check the linked archives for more ideas.
When I was in graduate school preparing to become an elementary-school teacher, my math methods professor, Elham Kazemi, told me it takes five years to become a skillful math teacher. I remember thinking, “Oh no! What about all the kids I’ll have between now and then? Am I going to ruin them?”
Well, the good news is they survived. I think I even did them some good. Sure, teaching mathematics is incredibly complex and I’m a lot better at it now than I was then. I plan to spend my whole career working to become a better math teacher, and I know I’ll never get bored because there is so much new learning to do. Even so, newer teachers have a ton to offer students. I feel proud of and excited by everyone who chooses to become a teacher, and your upcoming students are lucky to have you.
It’s reasonable to set some goals for your development as a math teacher. Be patient and forgiving with yourself while working to get better. Over the years, you’ll build relationships with your students, you’ll figure out how to build a strong classroom community, you’ll grow your content knowledge, you’ll learn how to facilitate conversations about mathematics, you’ll get more discerning about choosing tasks and curriculum for good pedagogical reasons, you’ll become more efficient and focused about gathering and using formative assessment, you’ll anticipate what students might say and do with more accuracy, and you’ll find your teaching style. It will come. But where to start?
In my coaching and my work with preservice teachers, I’ve learned that my square one is always the same: I want teachers to become addicted to listening to students’ mathematical ideas. It might sound like simple advice, but it’s not. Everything else follows. Once we become fascinated by our students’ creativity and ingenuity, we become more motivated to teach math. We enjoy it more, and so do our students. Soon enough, we dive more deeply into the mathematical content so we can understand why our students’ invented methods work. Before long, we recognize patterns in the way students’ ideas progress, and we crave professional learning about the development of mathematical ideas. We start reading, signing up for workshops, going to conferences, joining Twitter, blogging, seeking out colleagues who are as excited as we are to hear the amazing thing a student said or asked in mathematics today. Our curiosity drives us to read the research and find a professional learning community. We aspire to understand, to talk less and listen more, to ask better questions, to make more thoughtful instructional decisions, to support our young mathematicians. We reflect, and learn, and grow.
On the first day of math methods, Elham told us that she was the lucky one who would introduce us to the fascinating world of young children and mathematics. She taught our cohort to listen to children’s mathematical thinking, and be amazed. Pretty much every positive development I’ve made in my math teaching since has followed from close listening. When I feel unsure of what to do, I think, “Don’t just do something; stand there. Listen.”
The rest will come, in due time.
Have a wonderful school year, and let me extend my most heartfelt welcome to this noble profession.
I periodically hear discussion about whether it’s better to start the new school year by establishing norms for math class, or to dive right into a rich mathematical task. I’m opinionated, and I’m not shy about my opinions, but in this case, I’m not joining one team or another. They’re both right.
The first few weeks of math class are crucial. You have a chance to unearth and influence students’ entrenched beliefs—beliefs about mathematics, learning, and themselves. You get to set the tone for the year, and show what you’ll value. Speed? Curiosity? Mastery? Risk-taking? Sense-making? Growth? Ranking? Collaboration? You get to teach students how mathematics will feel, look, and sound this year. How will we talk with one another? Listen to our peers? Revise our thinking? React when we don’t know?
In Becoming the Math Teacher You Wish You’d Had, I wrote about a mini-unit Deborah Nichols and I created together. We called it, “What Do Mathematicians Do?”, and we launched her primary class with it in the fall. We read select picture-book biographies of mathematicians, watched videos of mathematicians at work, and talked about what mathematics is, as an academic discipline. We kept an evolving anchor chart, and you can see how students’ later answers (red) showed considerably more nuance and understanding than students’ early answers (dark green).
Throughout, we focused on the verbs that came up. What are the actions that mathematicians take? How do they think? What do they actually do?
In the book, I argued that this mini-unit is a great way to start the year if and only if students’ experiences doing mathematics involve the same verbs. It makes no sense to develop a rich definition of mathematics if students aren’t going to experience that richness for themselves. If professional mathematicians notice, imagine, ask, connect, argue, prove, and play, then our young mathematicians should also notice, imagine, ask, connect, argue, prove, and play—all year long.
In June, I saw this fantastic tweet in my timeline.
It caught my eye because Sarah’s anchor charts reminded me of Debbie’s anchor chart, but Sarah had pulled these actions out of a task, rather than a study of the discipline. I love this approach and am eager to try it in concert with the mini-unit. The order doesn’t matter to me.
We could (1) start with a study of the discipline, (2) gather verbs, (3) dig into a great task, and (4) examine our list of mathematicians’ verbs to see what we did. Or, we could (1) start the year with a super task, (2) record what we did, (3) study the discipline of mathematics, and (4) compare the two, adding new verbs to our list as needed. In either case, I’d be eager for the discussion to follow, the discussion in which we could ask students, “When we did our first math investigation, how were we being mathematicians?”
Whether we choose to start the year by jumping into a rich task on the first day, or by engaging in a reflective study about what it means to do mathematics, or by undertaking group challenges and conversations to develop norms for discourse and debate, we must be thoughtful about our students’ annual re-introduction to the discipline of mathematics.
How do you want this year to be? How can you invite your students into a safe, challenging, authentic mathematical year? How will you start?
One of the things I think about is the relationship between teaching math and the physical stuff that goes along with teaching math. This relationship gets distorted sometimes.
For a while, the elementary world got all kinds of swept up in manipulatives. All lessons became “hands-on” because somehow “hands-on” led to “minds-on.” Deborah Ball’s classic Magical Hopes article does the best job I know exposing the flaws in this stance. If you haven’t read it, by all means, click that link and read it right this second.
People sometimes get hung up on tech in the same way. Recently, I had the chance to share some outstanding work Kristin Gray got from her students when she asked them to take out their notebooks and write down what they were wondering about doubling and halving. They’d been working on 14 x 25 = 7 x 50. Check out these conjectures:
I mean, so great.
Both times I shared this work, people oohed and aahed, and then asked the same question: “Could you use tech to do this? Maybe a google doc?”
I have to confess, I don’t understand this question. With paper and a pencil, students were able to shift back and forth between words and numbers effortlessly, much faster than 11-year-old kids can type. If they’d wanted to make a quick sketch or doodle (perhaps an area model, in this situation), they could. They didn’t have to lose their train of thought while hunting through their device’s symbols for ÷ (an obelus, for fellow #wordnerds). The only apps I know that allow students to think and write so freely are apps that turn tablets into $800 notebooks by letting you write on a screen with a stylus.
I kept wondering, what’s the value added there? What’s the rationale for adding tech? What can it do for you that cheapo paper notebooks can’t?
That’s the question I ask myself about tools, in general, whether they require charging or storage in a plastic tote. What will they do for the mathematical teaching and learning here? Sometimes, the answer is not much. Other times, A LOT.
This year, I did something new in my school. My principal and I made it a priority for me to work with our paraprofessionals. These colleagues are overworked, underpaid, undertrained, and almost never supported to go to PD. Yet they’re responsible for educating about 20% of our students–the neediest 20%. So, this past year, my principal worked out a schedule where, one week per month, I had all the paras in two different shifts on Tuesday and Thursday afternoons. Over the year, we did a book study of the second edition of Children’s Mathematics. I chose it because it’s the foundation of everything in elementary math. The book and its embedded videos teach educators how students think about the operations, and how that thinking progresses. They also teach educators to listen closely–and quietly–to students while they think through problems. Given that the paras had been jumping in too quickly to tell or spoonfeed or direct kids, I wanted them to start learning how to tolerate wait time, how to trust that their students have mathematical ideas, and how to listen as a core part of teaching mathematics.
[Update, June 30 2017. I received a note from one of my colleagues–a proud paraprofessional–today. It was a hard note to read, but I am so grateful that she wrote. She taught me a ton. I am leaving the blog intact so you can see what I wrote, and what I learned. Let’s take a look at that paragraph again, but I’ll fix it, and then make changes throughout:]
This year, I did something new in my school. My principal and I made it a priority for me to work with our special education team, including certified teachers, therapists, and paraprofessionals. These colleagues are overworked and underpaid, and there are many demands on their time because they frequently have trainings about specific disabilities and student needs, as well as IDEA compliance, not to mention the meetings required for IEPs. undertrained, and almost never supported to go to PD. Yet they’re These colleagues are responsible for educating about 20% of our students–the neediest 20%–but both the literacy coach and I get less time with them than we do with the classroom teachers. So, this past year, my principal worked out a schedule where, one week per month, I had all the parasthe full special education team in two different shifts on Tuesday and Thursday afternoons. Over the year, we did a book study of the second edition of Children’s Mathematics. I chose it because it’s the foundation of everything in elementary math. The book and its embedded videos teach educators how students think about the operations, and how that thinking progresses. They also teach educators to listen closely–and quietly–to students while they think through problems. Given that I’d observed that some of the paras had been jumping in too quickly to tell or spoonfeed or direct kids, I wanted them to start learning how to toleratework on their wait time (which we all always need to work on). I’d spent a few years working with the classroom teachers, reading the same book (Children’s Mathematics), encouraging them how to trust that their students have mathematical ideas, and how helping them learn to listen as a core part of teaching mathematics. I wanted the special education teachers, therapists, and mainstream coaches to have similar opportunities to work on their listening.
I also knew that digging into students’ mathematical ideas would allow me to get the parasspecial education team digging into the mathematics itself. One para loves math and I knew she’d be game, but many were reluctant and some were downright hostile to the idea of this year-long focus on mathematics. I had my work cut out for me last fall.
Fast forward to June, and I gotta tell you, I loved my time with the paras special education team. I think it’s some of the most important work I’ve done in the building and I can’t believe it took me so long to get there. We built a safe space and strong relationships and, most of the time, they got more and more willing to try new ideas, wonder about why things worked, and make sense for themselves. I hope they understand that I’m sharing this story partly to encourage my fellow math coaches to think about how they can support their special education colleagues, partly because it helps me make my point about tools, and partly because I’m so proud of the growth I saw over the year, and want to share it. I hope I’ve done the story justice, and I hope, if I haven’t, they’ll tell me. Nothing matters more than the trust and safety we’ve built together.
One observation I’d made over the year was that several parascolleagues openly despised both the area model and the related partial products strategy for multiplication. They didn’t understand why anyone would do that, and were resistant to multiplying any other way than the standard algorithm. As our year drew to a close, I wanted to devote time to multiplication of double-digit numbers and see if I could get anywhere with this animosity toward these two essential multiplication strategies. I knew that if I just drew or recorded the strategies with equations on chart paper, I would lose them. I’d learned that lesson the hard way, and wanted to avoid the shut down I’d caused before. So I needed something. I needed a tool that would unsettle our typical patterns.
In this case, I reached for graph paper. I handed them each a rectangle of graph paper and asked them, “How many squares are there?” Note, I did not use the word “multiply.”
Nobody shut down. Everybody got to work, and I got a great range of strategies, including the ones above. (The graph paper was 14 x 21, if that helps.)
Man I love a variety of strategies. It’s just the best. Now I had a whole range of decisions to make about where to go from here. (If you want a thoughtful discussion about that decision-making process, you need to read Intentional Talk. It’s had a huge impact on me.) There were a number of things I could do, and a number of competing goals in my head. A few of them:
I needed to explicitly connect what they did with the graph paper to multiplication.
I needed to get them more comfortable with representations of what they did with the graph paper, both in pictures and numbers. Optimally, they’d be the ones recording, not me.
I needed to expose some rich mathematics by digging down into one of these, or by drawing connections among a few of them. Which ones?
I needed to take this opportunity to highlight the fresh mathematical thinking from some parascolleagues who have had negative histories in math, who started out the year reluctant but dove into this problem bravely, and who still needed support to see themselves “as math people.”
I needed them to explain their strategies to one another so they could put words to their own thinking, and listen to and try to follow their peer’s thinking. (This was an ongoing goal all year and we’d made a lot of progress.)
So here’s what we did. Each person explained their strategy. While they did, I asked for volunteers to come up and record on paper what their colleague had done on our chart paper.
I stayed quiet while the person with the marker recorded, and then naturally turned to their colleagues and said, “Is this what you did?” or “What was your equation again?” We were getting somewhere.
In each group, someone had surprised me with their strategy. In the first group, J said she looked at her rectangle and thought, “Way too many to count.” So she folded her rectangle in half:
She thought, “Still too big,” and folded it in half again:
She looked at that and thought, “I can count that and then multiply by four.” The thing is, one of the factors was odd, so quartering led to a fractional result. She didn’t bat an eyelash:
She had a 7 x 10 rectangle, which yielded 70 squares. She then combined 6 half-squares to make 3, and had 1/2 left over. Each quarter had 73 1/2 squares. To figure out the total number of squares, she pinched together the 4 half-squares into 2 whole squares, multiplied 73 x 4 to get 292, and added them together to find 294 squares. She told us that the folding grew out of her comfort with sewing, and she was completely in command of her strategy.
I did the recording on J’s work. Not beautiful, but everyone agreed that what I drew matched what she did.
In the next section, L also began by folding her rectangle in half, but the other way:
Then she groused at me, “Oh, you made it not work out evenly!” A moment later, she said, “That’s OK, I love thirds.” Look how pretty:
A perfect square!
When she unfolded it, she had this:
Now we see one power of a tool. If I had explicitly asked them to solve the multiplication problem 21 x 14, I would have had almost all identical column multiplication solutions, which aren’t ripe for rich discussions. But this little graph paper rectangle yielded a wide range of approaches, including two strategies that made beautiful sense, visually, but had almost no chance of emerging if we’d only worked with numbers:
21 x 14 = 4 x (10.5 x 7) and
21 x 14 = 6 x (7 x 7)
Not only that, both J and L were in the spotlight for innovative math, when both J and L have historically not been so keen on the subject. They were the experts on these strategies, teaching me and the rest of their curious peers. If I could have bottled that moment and given it to them for safe keeping, I would have. It was a highlight of my year.
That brought us to the end of Tuesday. I knew I’d start with these on Thursday. Because J and L were in different sections, they hadn’t seen each other’s solutions, although word spread quickly throughout the staff and I heard them comparing notes after school (yeah baby). We began Thursday by marveling over the two strategies, comparing and contrasting the difference it made to want to avoid fractions or not be bothered by them. I then focused us on L’s strategy, written numerically. When we looked at the piece of paper, we could all see that there were six 7 x 7 squares. But when I wrote the equation:
21 x 14 = 6 x (7 x 7)
there was a lot of wondering about it. They all agreed that, if they’d been working with numbers only, they never ever would have transformed 21 x 14 into 6 x (7 x 7). They wondered, where did those numbers come from? Especially that 6? How could a 6 come out of 21 x 14? Eventually, there was recognition that 7 was a common factor of both 21 and 14. That insight led us to write:
21 x 14 = (3 x 7) x (2 x 7).
The 6 was in there somewhere, starting to become more visible, but this is a place where nobody was sure about the rules they’d learned once. What could you do with that 3 and 2? Add or multiply? Five or 6? We went back to the paper:
Do you see a 2 x 3 array there? A 2 x 3 array of 7 x 7 squares? Six 7 x 7 squares? Holy smokes, there it is. They saw where the 6 came from.
We played a little with the quartering strategy in the same way:
21 x 14 = (10.5 x 2) x ( 7 x 2) = (10.5 x 7) x 4
We wrote them up, talked some more about the associative property and what happens when you break factors up by multiplication. Now, to be clear, I am not saying everyone in the group would be able to recreate this logical flow independently yet. But I am saying everyone in the group was following along. They didn’t shut down at the formal math vocabulary, at the symbolic representation, at the diagram.
And that’s why I was glad to have a tool. In this case, the tool made it possible for everyone to access the mathematics here. It helped me gather a variety of solutions so we could make connections among them. It made tangible what had been abstract. It allowed my colleagues to bridge from something intuitive to something a little out of reach. And it made us talk with each other about the mathematics more, not less.
I’d call that added value.
I don’t get fussed over whether tools are high tech or low tech. I love and use them all. But I do take care to use them thoughtfully, not for the sake of using tools or tech, but for the sake of the mathematical learning and conversation they’ll allow me to engineer.
In early drafts of my book, there was a chapter called Mathematicians Use Tools. I was planning to get into all of this stuff. I cut it for the sake of length–it was already a huge book–and I thought tools had been written about a lot elsewhere. They have. I decided, instead, to showcase thoughtful use of tools throughout the book, which wasn’t hard because effective lessons often involved the strategic use of tools. Probably the right call.
There are times I regret not taking the deep dive into tools, though. I see so much tech-for-the-sake-of-tech, tools-for-the-sake-of-tools. I also see teachers still afraid to use tools for fear of mess or noise or lack of control or time or organization. I’d love to explore when and how and why we reach for them–or don’t.
I’ve been having fun playing around with lesson closes lately. It’s something I’ve been meaning to write up or present on for a few years now, and one of Mike Flynn‘s awesome Mt. Holyoke classes gave me the reason to do it. I’ll be giving a condensed version of that webinar tonight at the Global Math Department. Register and join us if you’re able. If not, I’ll come back to this space and post the video of the webinar once it’s up, in the next day or two.
Someday, I would like to explore these ideas further, in writing or a full-day workshop or something. There’s a lot here! But for now, I hope this helps you get started. I know I’m having fun chewing on #lessonclose.
I’ve started wondering if being in the MTBoS is sort of like being a fan. To be in the MTBoS means that you love Three Acts, Which One Doesn’t Belong, Talking Math With Your Kids, Estimation 180, Problem-Based Stuff, Max Ray-Riek, Tracy Zager, Desmos or something.
To be fair to Michael, the next sentence was:
[Is this a good time to remind you that I’m making stuff up and have no reason to believe ANY of this with much confidence? I think it is.]
Ha! I appreciate that Michael tossed his idea out there so we can think about it. Because if he’s thinking it, others probably are too. And I get where it comes from, I think. Mostly. Maybe? I mean, there’s this “cool kids” thing that happens that I can’t stand. So that’s part. And then there are also the amazing resources made by people in the community, (WODB, visual patterns, #3Actmath, Estimation 180, etc.), which many people use and promote. True.
But for me, the MTBoS is not at all about fandom. It’s a community where people who love teaching math and thinking about teaching math can congregate. It’s a place to find like-minded folks, but also dissent. It’s a place where we can make our ideas better by listening to others, putting our work out there, and asking for feedback. It’s a supportive space where some genuine, deep friendships and collegial relationships are born and maintained. It has norms that matter–openness, inclusiveness, camaraderie–even though nobody is officially moderating for those norms. (That’s amazing, if you think about it.) For me, MTBoS is the only place on the internet where the comments are overwhelmingly constructive, and worth reading. It’s not about any one person or group of people. It’s a community, not a cult of personality.
What’s my evidence? There are so many choices (Twitter Math Camp, Global Math Department, every day online), but my recent focus was #MTBoSGameNight. It’s a zany idea, something a few of us hatched before Boston. The idea was to create a way to meet our online community members face-to-face at the close of NCSM and the kickoff of NCTM. We have no budget, no sponsor, no organizing committee. All I do is organize a few logistics and make a slide inviting anyone who wants to come.
Our first year, we had something like 40-50 people? I don’t know. Our second year, we were over 100. This year, 200-250. Matt Larson, as President of NCTM last year, asked how NCTM could help. He asked how could we make sure people could go both to the MET gala and Game Night? Given that Game Night is something the members want to do, what institutional support do we need? This year, NCTM provided the venue and a cash bar. So appreciated.
The night before Game Night, I was talking to Graham Fletcher in a bar and he asked what he could do. I told him I’d love a clever way to give away door prizes. He texted me the next morning. “Where’s the box of books? I’m on it.” He, Zak Champagne, and Mike Flynn set up a series of estimation challenges about them. Now we needed A/V, so Stenhouse helped out there. I arrived at the space 15 minutes before. It was a brightly lit hotel conference ballroom. Muzak was playing. The bartender was drifting around aimlessly. I thought, “This is not going to work.” Nothing about it felt like a party.
And then the people came. Christopher Danielson put his wonderful mathy playthings on every table. People started introducing themselves to each other. Drinks started flowing and the bartender started grinning.
My friend and fellow Mainer, Sarah Caban, came up to me and told me she had an idea. The game she brought was a Rock, Paper, Scissors tournament. Would it be OK if she explained it to everyone? Of course. She got a gaggle of demonstrators, grabbed the mic, and off she went:
Play escalated quickly:
Until the final, glorious climax:
To me, this is the wonder and worth of MTBoS. Somebody has an idea, other people are game to try it, everyone else has a good attitude, and we make stuff (moments, memories, play, thinking, resources) together. Honestly, I felt such an outpouring of love for all these people at this moment. It was the highlight of my conference week.
I don’t see fandom here. Rock, paper, scissors was Sarah’s brainchild, and it was her first game night. She joined twitter about a year ago. The rock, paper, scissors finalists were not Dan Meyer and Andrew Stadel. They were two women I’d never met before. I hope our winner will remember what it felt like to have all those math teachers at her back, chanting, “Dana! Dana! Dana!” Because to me, that’s what we do every day. We have each other’s backs. We cheer each other on. We share our passion for this work, and our ideas, and our energy.
Sign me up to be a fan of that.
@TracyZager First time for me (and lots) at face to face MTBoS event and i felt very welcomed. TY to all for wotking hard at that. #mtbos
I’m pleased to say Matt and I have institutionalized this event going forward. #MTBoSGameNight will continue to be hosted by NCTM. That may sound like a small thing, but it’s not. From where I sit, the merger with The Math Forum, the emphasis on #MTBoS representation on all NCTM committees, the MTBoS keynote in Nashville, and the support of our fringe events like Game Night and ShadowCon are meaningful. I’m all for pressing NCTM to be what we need it to be. But I’m also all for recognizing the big shifts made over the last few years. Change comes faster within the (unstructured, unregulated) #MTBoS than it can within the (highly structured, institutionalized) NCTM, just by the nature of the beasts. But good change is happening nonetheless.
It’s been so gratifying to hear from people enjoying Becoming the Math Teacher You Wish You’d Had all around the world. After five years of work on it, I’m over the moon that teachers are finding it useful, approachable, and inspiring (their words, not mine, but oh boy do I love those three words).
I’m worried, though.
I’m worried about the normal, human tendency to not want to hurt my feelings. I’m worried I’m not hearing from people who disagree, or think, “OK, maybe. But what about…” or “In my experience, actually…” I’m worried I’m missing out on my chance to learn from your critiques.
So I wanted to make it explicit. I’d love to hear how, when, and why you disagree or are unconvinced. You can tell me in the comments, on the forums, on twitter using #BecomingMath, via email, on the (nascent) facebook discussion page, or in person next time you see me.
Of course, please keep it civil and constructive. No need to tag in or poke a stick at the ideologues and name-callers from the math wars. I’m not that in need of dissent.
You’ve probably noticed some changes here at the blog. I decided to go through the hassle of moving platforms for one big reason: forums. WordPress.com doesn’t support the use of forums, and I wanted forums very, very badly. I think it’s worth telling you why.
The value of any professional resource–book, conference, course, PLC–lies in the thinking it sparks in you, and how that thinking impacts your practice. That’s why I wrote a thought-provoking book, filled with a mix of meaty ideas and practical details: I’m hoping to stimulate thinking that leads to positive actions in classrooms. There’s something that comes in between reading and actions, though, and it’s something I can’t put in a book because that’s not where it happens. That thing is processing, and it happens within each reader and among readers in conversations, writing, and personal reflection.
So my first motivator is it would be a crying shame for me to miss out on all of that!
I have a second motivator. There has been a fair amount of angst in publishing in recent years about what will stay and what will change with the advent of new technology. “Will people still want to read books in the age of the internet?” has been the dominant question. The answer is undoubtedly yes. Despite all the fears and worrying, most people feel like Kristin.
@TracyZager Cannot wait…digital is great but I need to hold the actual book and put post-its all over the place!! So exciting!
Changes in technology have made publishing a beautiful paper book easier (wait until you see the vivid color throughout this book OMG), but they haven’t led to books being replaced by screens, as once imagined. As a book-lover who lives in a house full of books and works for a publishing house situated over an independent book store and across the street from a public library, you can imagine I’m happy about the durability of paper books in the 21st century.
That’s not the end of the story of technology and books, though. I find myself wondering what changes in technology could mean for the reading of a book–rather than the form of a book–in the 21st century. And that’s where I see a lot of promise.
Over the past several years, I have wholeheartedly joined the community of teachers in the Math-Twitter-Blog-o-Sphere. I learn daily through conversations on twitter, longer conversations via our blogs, in-person conversations at conferences (even at a conference of our own), conversations in chat rooms at our webinars, and conversations via video chat, phone call, email, and direct message with colleagues all around the world. In short, we have learned how to use technology to further our conversations–to think individually and together in a supportive, welcoming, professional guild. My in-person PLCs have benefited from my larger community because we have a constant influx of new ideas to process together. In short, it’s the greatest place ever.
I wondered about creating a similar place to host conversations about the book. In-person book clubs and staff-wide PLCs are fantastic, but not everyone has access to one of those. Twitter is great, but most teachers aren’t on twitter. It’s also easy to miss conversations or bits of threaded tweets because it flies by. Blogs are essential, but they’re scattered across the internet. Facebook book clubs are–well, we’ll see about that one. I honestly have no idea what to expect, but I’m going to give it a try for sure because that’s where most teachers are. That said, I know lots of people who either don’t use facebook or keep it solely for their non-professional life.
I’m sure we’ll talk in all those places because we tend to talk where we are, but I wanted an additional place, a designated place with no sifting needed where people can come together and think. I wanted it to be a place with the culture of the MTBoS: where thinking-in-the-raw is welcomed and treated with respect. I certainly plan to moderate toward that culture, but I’m counting on you to create and support it with me.
And, selfishly, I wanted it to be a place where I could listen in on and participate in the conversations sparked by the book. I can anticipate what lots of them will be about, but I also know I’ll be surprised and that’s a delightful idea. I’ve built the forum with this spontaneity in mind. I’ve started seeding some topics to get us going. They’re focused on the Calls to Action in the study guide, which are suggested places to put your book down, go try something specific in your teaching, and then report back. But I’ve also structured the forum so that participants can start topics of their own and take the conversation where they need it to go.
I’m hoping some of you early readers will help out by starting or joining conversations soon. As you read or finish a chapter, pop by the forum and process out loud with the rest of us. Tell us what your in-person book chat talked about, or what idea keeps rattling around in your mind. Tell me what you disagree with, what resonated, and what the implications of my arguments are. If you wrote something up on your blog or had a conversation on twitter, link it in the forum so people can check it out. I’ll do my best to curate conversations so people can follow them, and I certainly see myself as a participant, learning alongside and from everyone else.
The forum is an experiment. We’ll see how it goes. But I’m optimistic that creating a place to ground and capture the rich conversation people around the world are having may improve many readers’ experiences with this book. It will help them talk through their thinking, learn from other people’s thinking, and reflect meaningfully on which changes they want to make in their professional practice. And it will help them grow their own professional communities, bringing in new colleagues who listen respectfully and share thinking generously.
I think it’s worth a try. That’s why I built it. Now we’ll see if they–you–come.
The book’s imminence has me feeling reflective. Couple that with the regularity with which I’m asked, “So what was it like, writing a book?” and you have the makings of a long, navel-gazey blogpost. Here we go, for those who are curious. Pour some tea.
[Disclaimers. I have two of them. One, from an author’s point of view, I’m only speaking to my experience. Two, I now have the good fortune to see this process unfold from the other side of the editor’s desk, as a Math and Science Editor for Stenhouse Publishers. You should know I work there.]
What do I have to say?
Five years ago, I ended up on the phone with my editor, Toby Gordon, kind of by accident. I was working for a university here in Portland, supervising and coaching student teachers at a wild range of schools. I loved that work, and had done it for quite some time in Boston, mostly with Boston University, and a bit with Tufts University and the Boston Teacher Residency. After we moved to Maine, I thought I’d continue that work while my kids were little, and then return to full-time teaching. Politics and state budgets kinda blew my plans, though. My department at the University of Southern Maine (USM) was hemorrhaging high quality faculty and not replacing them. Adjuncts were brought in to teach methods for $3000 a class, which is downright insulting. I loved my colleagues and my students, but the writing was on the wall, and I started looking around for new work.
I reached out to Toby at Stenhouse to see if I could work for her as an outside reader or freelance editor. Toby came highly recommended by, well, pretty much everyone and most especially my math hero, Elham Kazemi. We hit it off on the phone, and eventually she said, “Yeah, you could do those things, but what about you writing a book?”
I asked, “About what?”
She said, “Well, that’s up to you; it’s your book. What do you have to say?”
Inarguably the second-best question I’ve ever been asked. (“Will you marry me?” is tough to beat.)
She sent me off to brainstorm. I created lists of ideas and sent them to her. Toby told me which ones had legs. Some had been done before. Some wouldn’t sell. Some were unfocused. And one stood out. I just went and found my email to her, dated 11/29/11:
I was just looking at my shelf and my eyes fell on the first edition of Mosaic of Thought by Ellin Oliver Keene and Susan Zimmerman. That book was so path-breaking in that it taught teachers to view themselves as readers, first; to explore their own reading and think about what great readers do before delving into how we might start to teach children those same skills and strategies. I started wondering if anything like it had been attempted for math?….Has anyone tackled teachers’ affects about math in a cozy, curl up by the fire, more intimate and friendly way like Keene and Zimmerman did for teachers’ affects about reading? Attempted to help wary teachers embrace the discipline of mathematics as adults, not by telling them I’ll hand them a bunch of blackline masters so they don’t need to be scared (or think), but by guiding them on an internal journey about their own thinking and math?
It evolved, but that was the genesis, right there.
Toby sent me off to read. I think new authors often don’t know how important it is that they read. I had so much to read. Marilyn Burns’s book about math phobia, everything Deborah Schifter ever wrote, especially the pair of What’s Happening in Math Class?Reconstructing Professional Identities books, everything from Ball, Lampert, Fennema and Nelson, Hersh, Gresham, Beilock. Journal articles, books, blogs. I read.
And I started writing. Toby would check in on me periodically to make sure I wasn’t just reading; I was also writing. Four months later, in March of 2012, I submitted a proposal. I nervously waited, hoping they’d say yes!
It stung, but I received useful feedback from the editorial board and three outside readers. I saw what they were saying, for sure. I needed to work out the balance between practicality and big ideas. I needed to figure out exactly who my reader was. I needed to be more positive, and not spend so much time stating the current problem. They asked for an additional chapter from classrooms, based on fieldwork I hadn’t done yet. In fact, I wasn’t really sure what my chapters were yet. I knew my Table of Contents would grow out of my work in classrooms and my research, and I had a tough time trying to nail it down before doing that work. I started to sweat committing to anything before I’d done the research, research I had to do with an open mind.
In other words, I was afraid I was losing the book for the sake of the proposal.
So I did something kind of ballsy. I told Toby I was going to pretend they’d said yes. I was going to stop saying, “If I write this book” and start saying, “I’m writing this book.” I’d begin fieldwork and mucking around and gathering information and literature reviews. When I’d done more of that thinking and legwork, I’d know where I was headed, and I’d be ready to resubmit a proposal with a full chapter.
She was tickled. And supportive, as always.
Your shift in thinking makes absolute sense to me. Rejigging the proposal and chapter now is like putting the horse before the cart. You’ve done a lot of thinking and reading about this project, but clearly there’s a lot more to come—plus you want to start tracking down and working w/ teachers. So, I’m all for it! I have no doubt this shift will serve you—and the book—well. Everyone has different ways of going after a book. You’re well acquainted w/ your non-linear approach—so just trust it and see where you land. I’m here whenever you need me.
This is where my project looks radically different from most projects. Most of the time, people already have some idea what they’re going to say. Most of the time, their books grow out of the work they are already doing.
Not me. I didn’t have answers at that point, just questions. My main ones:
What’s essential to the discipline of mathematics? What ways of knowing, coming to know, changing our minds, thinking, agreeing, and disagreeing are unique to mathematics?
What would it take to make math class more like mathematics?
How can we close the gap between math class and mathematics when teachers have never really experienced mathematics as it’s actually practiced?
How can we improve the system when we’re the products of the system? What supports do teachers need? What could I offer teachers that would be useful?
In The Process of Education, Jerome Bruner said, “We begin with the hypothesis that any subject can be taught effectively in some intellectually honest form to any child at any stage of development” (1960). This statement has been a core belief throughout my career in education, and I treasure my copy of that little red book. But what does “intellectually honest” math look like to students at different stages of development? And how do we facilitate that? (Curious? Ball dug into this question a bit in her With an Eye on the Mathematical Horizonarticle.)
What’s replicable? When I find teachers who are teaching math class so students are doing the real work of mathematics, will I be able to help other teachers learn from them? How?
I read a ton. I also hit the road in the fall of 2012, working around my teacher ed schedule at USM. I started visiting classrooms, asking for recommendations of great math teachers in a variety of settings. I started with 40 names, and observed and interviewed them all. I saw a lot of very skilled teachers, but I quickly came to realize that what I meant by the phrase “great math teacher” wasn’t what other people meant by “great math teacher.” For me, that phrase wasn’t code for good management. Or high test scores. Or clear explanations. Or “fun” activities.
I meant something bigger. Different. Something about how the kids were interacting with the mathematics, and each other, and the teacher. Something about the combination of joy and intensity, curiosity and passion, safe exploration and high standards. Something about the transparency of the raw thinking, and the way math felt empowering. Something about who owned the thinking, who owned the truth, who owned the authority to decide if an argument was convincing.
I first found what I was looking for in Heidi Fessenden‘s 2nd grade classroom in the Mattapan/Dorchester neighborhood of Boston, MA, and in Shawn Towle‘s 8th grade classroom in Falmouth, ME. I couldn’t get enough of these two. They teach in totally different grades, different settings, different student populations, with different curricula. They’d never met or taken a course together and have taught for different lengths of time; yet, somehow, when Shawn opened his mouth, he said just what I’d heard Heidi say. When Heidi looked at a piece of student work, I saw the same wheels turning I’d seen in Shawn. When a student made a mistake with lots of potential to dig down into understanding, the same delight came into their eyes. I started spending as much time as I could with them.
It was through months of conversations, observations, and interviews with Heidi, Shawn, and their students that I started to figure out what my book really was about. I grounded my ideas in classroom realities and started identifying these teachers’ most practical, replicable, effective techniques. I started seeing what “intellectually honest” mathematics teaching and learning looked like in different content areas, with different aged students. Mostly, I started putting to words what made me so darn happy in their classrooms.
Around that time, I broke my ass. I’m not kidding. I was walking our two big dogs on an icy morning and they pulled at the wrong moment and I looked very much like Charlie Brown when Lucy snatches the football. I fractured my tailbone and had to call off my observations for a bit because I couldn’t sit in the car or on the train.
That was early December, 2012, and I was suddenly stuck at home with my laptop. I let Toby know I was starting a new proposal. I’d learned so much since the last one. This time it flowed. This time I knew where I was headed. By February, I had a chapter and revised proposal ready to go. I submitted, and this time the editorial board and reviewers were unanimous in accepting it. I was under contract to write a book in March of 2013.
In the meantime, I’d kept researching, reading, and looking for other teachers. That’s how I found Jennifer Clerkin Muhammad that May. She taught fourth grade in a two-way bilingual school in the South End of Boston, and she rocked my world. The level of discourse in Jen’s room was astounding. My regular trips to Boston to visit Heidi now became trips to visit Heidi and Jen. Jen taught in the morning; Heidi in the afternoon. Their schools were across town from each other, but it was doable. I’d take the 5AM train out of Portland, visit both teachers, crash with my friends Shoma and Josh, visit both schools again the next day, and catch the nighttime train back to Portland. I loved those trips so much. Riding back on Amtrak, I’d have dialogue and images and questions and student work whirring in my head and on my computer. I’d play back the video for a bit, and then stare out the window at New England going by, and think. What, exactly, were the instructional decisions the teachers made and techniques the teachers used to engender such amazing mathematical communities?
I still felt like I needed a small-town setting, because so many of my examples were urban and suburban. I kept looking, and that’s how I found Debbie Nichols, in rural NH, in August of 2013. From my first day in Debbie’s room, I knew I’d found a home. I started spending every Tuesday with Deb and her young students, and I learned something every time I visited. Still do.
Heidi, Shawn, Jen, and Deb are the four anchors of the book. They were the teachers who helped me figure out the core of what I was trying to say. I also visited dozens of additional teachers who were fantastic and added new voices and stories and teaching challenges and opportunities. You’ll meet lots of them in the book as well.
This header is a little misleading. I didn’t do all the research and then do all the writing. Both were happening all the time. But I did frontload the research and then really dig down into the writing.
I loved writing this book. I mean, I loved it. It was my trusted companion for years. I thought about sections in the shower, chapters when I was falling asleep at night, a better way to close that story while walking the dogs. With every revision, I got clearer about what I was saying, about what mattered. It was hard. It was a worthy problem, though, and I enjoyed the challenge. Some days I struggled all day and still barely filled my one-inch picture frame. Other days, I found some kind of flow, and I could hardly sleep because I was reworking and moving and dreaming about passages.
Throughout, I counted on Toby. I sent her chapters and bits of things as they were ready, when I needed feedback. She’d tell me what she loved, and I tried to do more of that. She’d tell me when I was dropping in too much research, and I’d cut. Some. Ha! She’d tell me if she got bogged down in the details or if something didn’t make sense, and I’d clean it up and prune it back. Throughout, it was clear it was my book, and I could take or leave her suggestions. I took most of them. Sometimes I argued back, and she would come around to seeing why I felt I had to do something a certain way. Sometimes, months later, I’d realize she’d been right all along and change it. She never gloated about those moments, which was gracious.
Something I’ve learned since becoming an editor: there’s a duality at the core of our work. We take tremendous pride in the books we publish, but we’re egoless during their publication. It’s our job to make the authors look as good as possible, to help them say just exactly what they want to say in the best way possible, to usher their books out into the world as effectively as possible. But we erase our fingerprints from that work. The author is the one who shines; the editor works behind the scenes. The book is the author’s baby. The editor is the midwife. Both roles are immensely satisfying.
I took a master class in editing by being edited by Toby. I apprenticed with the best.
We emailed, we texted, we talked on the phone, and we met for lunch sometimes (because we live in the same place, lucky me!) to discuss my progress over fish sandwiches. I always walked away clearer on what I needed to do, or at least what the terms of the struggle were. Often I’d be halfway through an email to her and I’d realize the solution to the problem I’d been describing.
I like feedback a whole lot, so I also sent chunks of the manuscript out to other people. I sent every chapter to all the teachers named therein, and I wouldn’t go forward without their approval. I also sent chapters to experts on specific sub-topics. Reuben Hersh read my work on intuition. Danny Bernard Martin read a section on equity. Virginia Bastable helped me with representation-based proofs. In each of these cases and many more, people were generous with their time, expertise, and insight, and I am indescribably grateful.
I was interrupted during the writing of the book. Cancer is rude that way. I thought I’d be able to write during my mom’s treatment and mine, but I wasn’t. I made it through that year watching back episodes of Comedians in Cars Getting Coffee, walking the dogs in the woods, staring out the window, and reading The Princess Bride on a loop. You do what you gotta do. Toby told me to write if it helped me cope, and not to write if it didn’t. I couldn’t. All I could manage to write during that time were tweets. Thank god for twitter, and my friends there.
When I was able to come back around to the book, I fell in love with the process of writing something long all over again. I love building a larger argument, thinking about how to guide the reader through it, crafting a larger story. I wrote the last word on the last page in December of 2015. I celebrated for an evening, and then I turned back to the first word on the first page and started revising the next morning.
Again with the misleading header. I’d revised all the way through. Every time I worked on a chapter, I’d start at the beginning and work my way toward where I’d left off. Some days, I never got past the first page. Revision-during-writing is essential.
But once the whole thing was drafted, I got to focus exclusively on revision, and that was extremely satisfying. Time had made it much easier to cut unnecessary words, quotes, and examples. Writers say “Murder your darlings” for good reason. Some of my darlings had become less dear over time, and knocking them off was much easier after a bit of distance.
I’d also discovered I’d gotten better at writing the book as the book went on, so I went back and revised the early chapters to match the later ones. Interestingly, this often meant writing with more confidence than I had at first. First-time authors are often uncomfortable saying, flat-out, what they think. That got a lot easier for me with practice.
A big part of revision was working on the artwork. Throughout the writing of the book, I’d collected all the high-resolution photographs and original student work I thought I might use, along with permission slips from parents. I accumulated a giant box, and then slowly trimmed them down to the most essential figures. No fluff! At the end, it was time to number those figures, insert design notes in the manuscript to show where they should go, build the art chart for the production team, make sure all my permissions were in order, put sticky notes on student work saying when names needed to be removed or ancillary problems needed to be cropped out, and so on. I made an efile and file (the yellow folders in that picture) for each chapter, and organized all the figures carefully.
Getting Ready for Turnover–The Team Grows
When everything was as done as I could get it, I handed the whole pile and files to Toby. She started back at the beginning and read the entire manuscript again. When a change was needed or something could be cut, she flagged it. When she was ready, we met again and went through, sticky note by sticky note, making decisions together. We pulled some figures, which meant renumbering again. Most of the changes were quite manageable, though.
Once I cleaned up the files, the manuscript was ready to be turned over to the production department. Turnover is a slightly misleading term, because the editorial work is not over. Toby stays with the project from that first nervous phone call until well after the book is out in the world. But at turnover, the team of people working on this project grew from the two of us to a whole group of people. Just the briefest of descriptions:
Production Editor Louisa Irele carefully worked through every figure and picture, scanning original work, correcting my errors, and checking permissions. She went through the text files and put them in mansucript form.
Editorial Production Manager Chris Downey is responsible for everything that happens with the text from turnover to publication. She handles the words. She is incredibly kind, professional, and knowledgeable–I swear, the complete Chicago Manual of Style resides in her head somewhere. She has enviable attention to detail. The designer of my book told me he can pick out Chris’s manuscripts from the ones he receives from other publishers. The quality of her editing is remarkable. Chris guides each manuscript through copy editing, typesetting, multiple rounds of proofreading, and indexing with care.
Obviously, that means we have professional copy editors, typesetters, proofreaders, and indexers on this team as well. I am so grateful for everyone’s eagle eyes! When I got nervous about mistakes, Chris reassured me. “Don’t worry. We have six pairs of eyes looking at these proofs right now.” It helped.
Jay Kilburn is the Senior Production Manager, and he handles the design of the books. We never use templates at Stenhouse; rather, each book is individually designed. Jay is so gifted at pairing authors with the right designer. Take a look at Which One Doesn’t Belong? It’s so Christopher. And my book is so me. It’s amazing! Jay works with the designer on the overall feel of the book. They decide on the trim size, the covers, the fonts, the headers, all the design elements in the interiors (boxes, sidebars, pullquotes, tables, chapter openers, running heads, dialogue, etc.). Jay also manages the actual production of the books at printers, binderies, and warehouses. He has this huge realm of knowledge about glues and sigs and press runs and where the readers’ eyes need places to rest and widows and orphans and kerning and spot varnish. (Look at the covers of Which One Doesn’t Belong?. See how the shapes have a bit of shine that makes them pop? That’s spot varnish.) I’ve been at Stenhouse just about a year, and I’m at a place where I can begin to grasp the deep knowledge of bookmaking that Jay has, or at least get most of the vocabulary.
Lucian Burg designed my book. He also happens to be a lovely person and one of my neighbors! We hire local whenever possible, and Lucian is really local. A few weeks ago, the girls and I stopped by his studio to drop off page proofs. Lucian told me, “I’m proud of your work and I’m proud of my work,” which made my day. He loves converting these ugly word processing files into a beautiful, visual, satisfying experience for the reader. His studio might be the prettiest workspace I’ve ever seen, largely because its filled with the beautiful books and covers he’s designed. Throughout this project, he understood the feel and vision I was after, and I couldn’t be happier with what he did. It’s a perfect marriage of content and design, which is the whole goal.
So, at the turnover meeting, the editor helps the production team get a feel for the book and its style, as well as any particular themes or ideas that might translate visually. Production then gets to work.
People kept thinking I was done at this stage. Nope. The manuscript came back to me two more times: once after copy editing and once after proofreading. Jay also sent initial design files to see if I liked the way the designer was approaching the book. Did I like the way he handled the different elements of the text, like dialogue, block quotes, captions, etc.? You bet.
While I missed writing the book, I mostly loved this phase. What had been my project was now our project. Every person was adding his or her expertise and knowledge and skill to this effort, and together they took my pile of files and folders and documents and turned it into a book. I am in awe of my production colleagues and the work they do.
Getting Ready for Publication–The Team Grows Again
As publication appears on the horizon, the marketing, sales, operations, and customer service departments get involved with the book. Without giving away any trade secrets, I’ll say the marketing team puts together a specific plan for this book, based on its strengths, the author’s desires, and their robust knowledge of the market. They get the catalog ready, the product page launched, and the advertising lined up. The sales team starts educating our regional representatives about this book so they can begin talking it up in schools. The operations team works with Jay to make sure the book moves from the bindery to the warehouse on time and properly packaged, so it’s ready to ship out on day one. Customer service, sales, and operations together work with readers, teachers, school districts, booksellers, and international distributors. From preorders to purchase orders, they are experts in the business of publishing, and they are the ones who get books into your hands.
Out It Goes, Into the World
The team is about to get a lot bigger, and change again. We’re about to add readers.
This is the mind-blowing part. Toby has always told me that books take on lives of their own once they’re published. You plan and you try and you hope and then you send it out there and see what happens.
I had the best time writing this book. Selfishly, it was worth every minute. But I didn’t just write it for me. I wrote it for you. I expect some of you will like it, some will not, some will agree, some will disagree, some will be put off by the length, and some will want more. All good. What I hope above all else, though, is that it will make you think. Hard. It’s jam-packed with ideas, and I hope you’ll find yourself reflecting on them as you take a shower or chop tomatoes into your salad. Whatever you decide about the arguments I make, I hope this book helps you teach with intentionality and joy.
I have one last bit of work to do before it sets sail. Over the next few weeks, I’ll be adding some dedicated spaces here and on social media about the book. Here, there will be a site for each chapter, along with a robust study guide, supplemental resources, calls to action, and all that good stuff. I haven’t worked out the tech yet (#growthmindset), but I will be building forums for discussion throughout those sites. I’m most eager for those forums, because I’m jazzed to hear your reactions. I wrote this book to move the conversation forward, not have the final word. I can only get wiser if you educate me.
I must really want that dialogue, because I’m even willing to establish a book study page on facebook. Oh my.
So once I get the spaces built, please stop by and tell me what you’re thinking about in response to the book. What new questions are you asking? What are you trying in your teaching? What did I get wrong? What should I be thinking about next?