Tag: DearClaire

  • Ten, Twelve, Ten

    Dear Claire,

    This year marks my 10th inB education. While the path of an educator’s career is murky and uncertain, I feel quite content with what I’ve accomplished in ten years.

    Rather than listing the recent wins (see the class Twitter feed and mine for those), I want to compare what I’ve learned in the last 12 weeks as a long-term sub in your classroom, and relate those things to my decade in public education.

    Teaching Muscles

    As you may recall, I was concerned before stepping into room 908 this year that my last 2 1/2 years as an instructional coach might haveb& witheredB my teaching muscles.

    I have vivid memories of my first year teaching, spending 45 minutes on the warm-up, yelling at students to be quiet, and marching them all outside to practice coming into the classroom quietly.

    wince2

    Those were my first few months in the weight room of education, and like actual muscles, teaching muscles take time to develop. Within about four years, I had muscles that most would consider average.

    Teaching muscles, not actual ones.

    Picture this guy, but with... nope, just like that.
    Picture this guy, but with… nope, just like that.

    Claire, stepping back into your class, I was pleased and surprised at how quickly my classroom management biceps awoke after a few years of neglect. And while I will always sacrifice “discipline” for an authentic classroom culture, I feel like I have arrived at a good balance, one where I can drive 36 freshman toward a learning goal for 54 minutes at a time.

    A Great Cloud of Witnesses

    During my first year teaching, I had to go door to door if I wanted advice. And a lot of it was garbage advice.

    "Don't smile until December."
    “Don’t smile until Christmas.”

    A decade deep into math education, technology and math and culture have all advanced to the point where I can have my thumbB on the pulse of tens of thousands of math classrooms, I can mooch lesson ideas, materials, and even common errors from other teachers’ blogs, and I can promote the sharing ofB awesome stuff, positively impacting classrooms of educators thousands of miles away.

    Claire, contrast today’s math-ed environment with 2007, me walking two buildings over to Kelli’s class, laying out my notebook paper and plan book, and asking, “So… how do I teach the distributive property?”

    My Instrument in the Orchestra

    Seventh graders, seniors, and most math classes in-between have passed through my door in the last 10 years. I’ve deconstructed hundreds of math content standards, and even built a pacing guide from scratch. A decade of public education affords me not only understanding of the part my instrument plays in the orchestra, but “vertical articulation” to understand how the timpani part takes over where my tuba solo ends.

    Knowing the skills students already have in their pocket and knowing the skills they will need before they leave makes me/anyone a better teacher, and this collaboration I recommend for any teacher, school, or department.

    Recent Twelve WeeksB

    At the CMC conference in 2007, the presenter flashed a problem like this on the wall.

    (Something like this. I forget what it was.)
    (Something like this. I forget what it was.)

    He then asked, “Who got negative one for their solution?” A dozen educators bB and I bB stood, in a room of 400. A grin crept across the presenter’s face as he pointed a bony finger at us and barked, “Wrong!”

    The room burst into laughter, and I sat down quickly with aB red face.

    I didn’t say another word the rest of the conference.

    My poor math-knowledge wasB exploited to score points in the room.

    Sadly, I took that idea with me into my classroom that year.B

    I entered the field tenB years ago with no formal training in mathematics or education. Due in part toB dogged pursuit of excellence, input from dozens of smart people, and aB willingness to take a risk and fail grandly, I’ve had some meager success as a math teacher.

    Thankfully, I tookB those ideas into my class, too.B I’ve made my class a place where no bony fingers will embarrass students with the wrong answer.

    It is my pleasure and honor to now encourage other fresh teachers to take a risk and try something new.

    The uncertain deserve an outstretched hand, not a judgmental, bony finger.

    Claire, it’s my hope that your students felt that in their twelve weeks with me.

    The Next Ten Years

    In the car today with my wife, I expressedB my surprise that other math teachers value my input. As usual, she encouraged me, saying, “You understandB students and you understandB adolescence; that’s what makes your math class different. It’s not the math part.”

    I know. She’s great. That’s why I put a ring on it.

    Ten years from now, it’s highly likely that the emphasesB of math educationB will have shifted.

    Because, you know; that’s what a pendulum does. ItB swings.

    It’s my hope that my strong suit will still be something that makes math education better. I will still be interested in broadening my perspectiveB and learning about how to build better students, better teachers, and better schools.

    And I hope the next 10 years will allow me to pursue that passion with the same fruition of the previous decade.

    ~Matt “The Long-Term Non-Sub” Vaudrey

  • Port in a Storm

    Real talk: Autumn has been crazy in the Vaudrey household. Between prepping for CMC-South, traveling the country to talk about math education, and moving my family across town, this li’l blog has been neglected. The next several posts in the #DearClaire series will be weeks late, but I’m posting them anyway.

    Dear Claire,

    Monday, I attempted to re-create Guess My Rule to introduce linear functions. It’s a lesson starter from my first year teaching, and as such, is ten years old.

    It sure felt like something I hadn’t touched in 10 years. I give the lesson a D plus.

    Gross-face1

    Three years ago, I used a trial Mathalicious subscription and did the Domino Effect lesson with my class (then-results here). Two hours before class on Tuesday, I decided that’sB exactlyB what I wanted for the days’ lesson: a discussion about ordered pairs and what they represent, coupled with rate of change.

    Woulda been pretty cool if I’d have planned the period better. Instead, I took too long on the buildup and we scrambled the last 10 minutes to get to the grand reveal.

    C minus.

    Educator and genius Karl Lindgren-Streicher points out that anything can be done poorly b even one of my favorite tools for math teachers, apparently.

    Just before class, I tweeted this:

    Claire, teachers in the #MTBoS wear two identites all the time. For one of them, we are teachers who want to get better at our practice and are honest about our failings. Beneath the other hat, we write books about math education and travel the country speaking about math education and have Twitter followers from around the world listening to our thoughts on math education.

    Shouldn’t we have our actB together if other teachers on Twitter are listening?
    Shouldn’t we at least hide our struggles?

    No. No we should not.

    In that tweet above b one part modeling failure and one part fishing for encouragement b I was honestly and publicly reflecting about what to do when lessons bomb. Because they do.

    Claire, you’ve been very kind to me in my two years working with you as an Instructional Coach, but you’ve also been frank with me about which parts of my demo lesson didn’t work for your class and what you would’ve done differently.

    That honesty is important, as important as encouragement (which also came). Misty also saw that need in my tweets.

    Ugh. Yeah. Fine. But it’s not working for the class.

    Carly, for example b the studentB who respectfully pointed out “we shouldn’t be tested on this if we didn’t cover it in class” b called me over during test review last week.

    She asked, “Mr. Vaudrey, when are we going to practice more… like…B actual math? Like, I understand that all these things (she motions at the review problems printed on colorful “stations” around the room) are important, but like… are we gonna get more notes on, like, equations and stuff?”

    Ugh. Carly just loves when school is hard.
    “And can we please have more homework?”

    Students like Carly are accustomed to math class working a certain way. When their usual method of success no longer works, they get nervous.

    It’s not wrong to give students what they require to succeed in class; a variety of nutrients is necessary for a healthy diet. If they want notes, it’s okay to give them that for a meal sometimes.

    It’s wrong to feed them a steady diet of PowerBars, then wonder why their teeth fall out (educationally speaking).

    So where’s the line?

    Have I mentioned yet that Twitter is the best staff lounge? I’ve never even met Misty in real life.

    Wednesday, we took notes on expressing the same function four ways, thenB practiced in groups.

    The students needed some structure, so I provided it. Then, when they tackled the Desmos activity the next day, it went much better.


    While we’re speaking about the gap between theory and practice, between teaching teenagers and teaching adults, between modeling vulnerability and appearing an expert, let’s talk about Saturday.

    The San Gabriel Valley CUE affiliate held its annual mini-conference. Six hundred people attended, I had a great time modeling Appetizers for teachers, and one of my favorite teachers won the award for which I nominated her. The room full of her peers erupted with applause, praising her well-earned recognition.

    It was a great day for me as a coach, four days after a pretty gross day in the classroom.

    Contradiction? Very well, then it’s a contradiction. Teachers are vast; we contain multitudes.

    ~Matt “Walt Whitman” Vaudrey

    UPDATE: AB Desmos activity was dropped a few weeks later that isB much better for the purpose of getting students to understand functions multipleB ways. Dan writes about it here.

  • Vulnerability – Teacher Report Card 2016

    Dear Claire,

    You and I haven’t ever talked about the use of the Teacher Report Card as a way to get feedback from students, but lemme tell ya; it’s one of my favorite things I do.

    Every students’ face lit up when I mentionedbbefore giving them the test on Wednesdayb”After the test, you’ll be given a link. That link takes you to a Teacher Report Card where you will gradeB me.”

    Whaaaat image: Viewminder
    “Whaaaat? Awesome! That’s weird. You get straight A’s, Mr. Vaudrey! I’ma fail you.”
    image: Viewminder

    “Listen, though. I want to be the best teacher I can be, so I’m asking you howB you think the class is going because you know best. Be honest with me. You will not hurt my feelings, I can take it. Here’s your test.”

    And they were honest, as only teenagersB could be. Here’s what happened:

    snip20161007_3

    Good Stuff First

    Quite proud of my top six.

    Stuff toB Ignore

    In previous years, makes me feel importantB also been my lowest-scoring question. It’s notable that most students in the latter half of myB careerB feel that I respect each student (#2), praise good work (#4), and try to see the students point of view (#5).

    Yet I still don’t make them feel important.

    Let me get developmental for a moment; I thinkB teenagers will always have a need to feel important, one that we should encourage and affirm as long as it doesn’t encroach on the importance of others. This is a life stage where the identity is forming, which is why haircuts, hair dye, piercings, changes in handwriting, changes in clothing, changes in language, love interests, sexuality questions, and asking their teacher if he smokes weed…

    …will always be natural parts of being a teenager. It’s developmental.

    So that question will probably always be my lowest.
    (If you also give the TRCB to your students, affirm or disprove my theory in the comments.)

    Stuff to Improve

    Yes, my lowest is still 85% positive.
    Yes, I still want to be the best I can, so I’m looking at the bottom.

    The questionsB above that I’ve shaded … what color is that? … copper?… The shaded items are my focus for the second half of my long-term sub assignment. Plenty of free-response comments affirmed that my classroom management is frustrating the compliant students, especially when it comes to covering the material.

    trc-collage-2016

    Rick Morris, one of the first to dramatically impact my classroom culture, had a clear and consistent classroom management (which he modeled for us in full day workshop). As we debriefed, he said something that has stuck with me for years.

    Shelter and protect the compliant

    Claire, in 6th period, thereB are two students. One consistently arrives on time, completes all her assignments, and volunteers to answer questions. The other students made nothing but negative or disparaging remarks for the first two weeks of school. (He’s better now.)

    When the compliant student asked to move seats, I did. She deserves to be sheltered and protected more than the knucklehead needs an elbow partner.

    Other Stuff

    On the list of “Ways Teaching is Different in 2016 than 2013” is the obsession withB phones. About 25% of students mentioned “phone” in their response,B and we use them for calculators sometimes and that’s pretty much it.

    Also dabbing is new and kinda fun.

    On Wednesday, students gave me their opinions. On Monday, I was more …B demanding… with the class following instructions quickly. Sixth period (of course) felt my wrath first, but quickly fell in line.

    Nobody likes hearing their teacher use the Grumpy Voice.

    Claire, I’m not saying I’ve solved the issue that students mentioned; I’m saying I’m improving.

    Next up, content. Teaching RSP 8th grade in the hood requires a different skill set (and a differentB pace) than teaching these students.

    ~Matt “Farther Up and Farther In” Vaudrey

    P.S. Notable in the student responses is the preference toward math class feeling like it’s always felt. A few students mentioned a preference for the typical math class; one even sat me down yesterday and asked why we don’t take notes and do practice like math class is supposed to. Change is hard. Math reform can’t be done on an island.

    The yellow paper that students mentioned is a handout we use to tackle Appetizers as bellwork everyday. That one student who complainedB can suck it up; it’sB an important part of building number sense and it’s friggin’ fun.

    If you’re interested in giving the TRC to your students, click here to make a copy of the Google Form.

    Andbin the name of vulnerability and transparencybhere are all the student responses.

     

  • “Aw, He’s a Consultant.”

    Dear Claire,

    Late last week, I tweeted this:

    The tweet itself got a couple thousand views and led to some good conversations last week and thatB weekend.

    Which is kinda what I’m talking about. I think…

    I think I’m a better coach than a teacher.

    That’s a weird thing to be sheepishB about.

    snip20161007_2

    ThatB Sunday, I went to the EdTech Team’s High Desert GAFE Summit to present on stuff. It went great. People commented about how helpfulB it was, how great that I’m back in the classroom since I’m so energetic and engaging, and I even sold a fewB books while I was there.

    Then today, I dragged two periods of freshmen through Graphing Stories and just… didn’t feel like a great teacher. Jack forgot his glasses, but insisted he got contacts this weekend. Katherine’s new seat in the middle of the room was a bad idea, since she can now distractB everybody in the back half of class, andB all of 6th periodbdespite being lovely as individualsbstruggle to get through anything as a group.

    In the gap since I was last a teacher, I’ve had my head in theB theory of teaching, waxing rhetorically about the death of homework or reading books about theB inclusion of students of color in meaningful waysB or sharing ways to increase student voice and agency in the classroom (including this on Wednesday).

    image: Ricardo Williams on flickr
    image: Ricardo Williams on flickr

    What a blessing to be an instructional coach and have the lowered stress level so I canB dream about education outside of the four walls of aB classroom, without worrying about the new seating chart that I promised them forB Monday and didn’t even start yet and lunch ends in 12 minutes and dammit I still have to make copies and I haven’t even erased the board from Friday yet.

    It’s easy to dream about big ideas, but some of the dailyB stuff is kicking my ass.

    And worse than that; I’m feeling like the stuffed-shirt, overpaid, abstracted Educator that presents at conferences about ideas s/he hasn’t tried.

    I’ve satB in those sessions and rolled my eyes and murmured to my teammate, “Aw, he’s aB consultant.”

    What can s/he possibly know aboutB real teaching?

    “Babe,” says my wife. “You’re your own worst critic. Your class is probably a funner place to learn than other places on campus. Many of those kids probably just sit silently the rest of the day, but they get a voice in your room.”

    While she may be right, I’m not convincedB yet that I’m doing anB excellent job.B Every day is a risk (which doesn’t scare me) and I’m worried that I’m not as good a teacher now as I was when I left (which scares the hell out of me).

    I’m curious to see what Wednesday’s Teacher Report Card results look like. Of course, I’ll post them here.

    ~Matt “No disrespect for subs. Your job is really hard.” Vaudrey

     

  • Conflicting Values

    Dear Claire,

    I drafted this post, but never published it last week.

    This was a week of transitions, one in which I was very thankful for this blog, twitter, and my wife as a sounding board.

    On Monday, the air-conditioning in room 908 still wasn’t fixed, and the temperature climbed to 89B0 before 6th period ended. David (a student you’ll meet in a few months) suggested, “Why don’t we go outside? There’s a breeze.”

    So we did. We took our whiteboards and worked through literal equations outdoors. It was… pretty good. I took 7th period to the air-conditioned library to do the same thing. It was also… justB pretty good.

    I came home and wrote a post (that I didn’t publish) about how I wanted more traction with the students. We’re four weeks into the school year; surely by now there should be some sense of what a “normal day” feels like. Or worse, their chatty and tough-to-wrangle behaviorB is a “normal day,” but I’m too much of a softie with my classroom management to notice it.

    That’s a distinct possibility.

    Shibuya (who teaches next door) and I chatted about the need to be strict without being rough, stern without being mean, and… that’s hard for me. I’ve been telling new teachers for the last three years that “students can smell when you’re doing someone else’s lesson or someone else’s management style. Be genuine.”

    Now here I am, being genuine and realizing that I should have higher expectations for how we treat each other.

    All of those feelings happened on a shortened-schedule Monday with no air-conditioning.


    Fast-forward to Tuesday and Wednesday, where we did notes and whiteboard practice for solving and graphing inequalities. They were on-task, respectful, and we blew through plenty of content.

    Here’s my internal struggle. Not the oneB about being nice vs. stern. A different struggle.

    Students appear to want notes and whiteboard practice more than weird and innovative lessons.

    There. I said it.

    Not just in their collective compliance, butB out loud.

    “Your way is weird. Can I just use the formula?”
    ~Madi, period 7

    There’s more. The piece I’m realizing (right this minute, as I type) that I’ve forgotten:

    Of course, they will be quieter when they’re writing stuff down. And that looksB like compliance and desire.

    Claire, that post I drafted onB Monday was falsely correlating silence and engagement.

    The opposite is probably true.

    ~Matt “Robert, it’s Eric’s turn to talk. Go ahead, Eric.” Vaudrey

     

  • Appetizers Take A Long Time

    Dear Claire,

    For the last three weeks, we’ve started class each day with an Appetizer; something quick and accessible to every student to get the math juices flowing.

    Last week’s Visual Pattern was a textbook example of how I hope Appetizers get students thinking critically, attending to precision, critiquing the reasoning of others.

    ...and some other stuff, too.
    …and some other stuff, too.

    Here’s the thing, though; we’re three weeks into class and beginning to settle into a routine (aided heavily by Music Cues). But… the routine is stillB really front-end heavy. When I timeB out each of class next week; I’m betting that the start-of-class routine still takes between 15 and 20 minutes (Work on Appetizer while I stamp HW, go over Appetizer, glue stuff into your math notebook, discuss last night’s HW, announce the daily Learning Objective).

    That’s… like… a thirdB of class minutes spent on the structure of the notebook and building critical thinking skills. Your teammates are leaving the freshmen to structure the notebook themselves; am I treating them too much like the 8th graders they were 4 months ago?

    I confess; I’m feeling some doubt.

    We took and graded a test on Thursday/Friday. I haven’t recorded scores yet, but my peeks over shoulders made me wince as I walked around. In 6th period, two students straight-up said, “Mr. Vaudrey, we didn’t get this far in class. Problem 10 goes into stuff we didn’t do, and I don’t think it’s fair to test us on that.”

    wince2

    In an attempt to model being wrong and keeping our class a safe place to speak one’s mind, I said, “Huh… yeah, you’re right. Let’s make this test out of 9 instead of 10.”

    They both got high-fives for respectfully standing up to an authority figure, but the sinking feeling of Guilt (one of my Three Friends) is making me wonder:

    Am I spending too much time on stuff that Mr. VaudreyB thinks is important? And not enough time on stuff that the math department and curriculum guide says is important?

    It’s easy to give excuses:

    The teacher editionB doesn’t match the student edition of the textbook.
    That chapter isn’t aligned to our pacing guide.
    We don’t have enough time to plan as a department.
    I’m just a sub; I can do what I want.

    The truth is far more haunting:

    These students are accustomed to straightforward instruction where they sit in rows and take notes.
    They will likely score better on tests that way.
    They will definitely be more pleased with the pointsB they earn that way.
    Claire, you might not do Appetizers with your class regularly.
    It’s way easier to march in-step than to drag 36 freshmen off-course forB 53 minutes every day.

    *sigh*
    Okay.

    Claire, I’ve written this advice in a book, on blogs, on tweets, and now it’s time I heard it myself:

    Yeah, it’s hard to change the culture. Our students need to engage math in meaningful ways, and for many, they haven’t before. They might revolt, parents might complain, and the pacing of the course may suffer, early on.

    But it’s worth it. I believe that chasing the SMPs is more important than chasing discrete skills, and they will be better prepared for the Common Core standards if math class is more… mushy… than it was back when it was Algebra I.

    Days, weeks, months, or years from now, these students will be more likely to persevere in their problem solving and theB rest of the content we cover in class will be easier for them and they’ll be more likely to dig in. Further, the “pure math” will come easier when they’re more motivated to tackle foreign-looking problems.

    Claire, I just hope I’m around to see it. You’re back from maternity leave in 9 weeks.

    ~Matt “Onward” Vaudrey

  • Back To School Night – 2016

    Dear Claire,

    Wow, that last post came out much darker than the week felt. There was plenty of good stuff, even some times where I was laughing out loud while students were learning. One of the highlights from Week Two was:

    Back to School Night

    I found your old Powerpoint from last year and, since it was all fromB the syllabus, made some new slides instead.

    Families in attendance were asked to guess what these numbers meant. After a short musical cue to stand and talk to those around them, I took guesses, celebrating each person who volunteered a guess.

    Snip20160904_1

    Since the students haven’t met you yet, they were on equal footing with theirB families, trying to guess how these numbers could be related. I asked, “Why?” for each suggestion and there were some beauties:

    • 74 couldn’t be your birth year; you’re not nearly old enough.
    • Any of those besides the first one could be number of years teaching, except that middle one.
    • Is the second one your shoe size? Is Mrs. Verti, like,B really tall?

    Snip20160904_2

    “Hours of sleep last night” led us nicely into pictures of you and Vicky, plus pictures of my kids. Students were pleased to see what you look like, since their only evidence of you so far has been what I tell them (all good things, of course).

    Snip20160904_3

    (It occurs to me, I should have asked you first before ripping your Facebook profile picture. Sorry about that.)

    After that, I gave them the code to sign up for Remind updates, a QR code for the school website, and then we did some actual math.

    Snip20160904_4

    “Students might be familiar with this method; we’ve done a few of these. Everyone, when you hear the song, you will choose a corner. Stand in the corner for your choice; which one of these shapes doesn’t belong with the other three?”

    The parents stood uncertainly and, en masse, chose letter C,B moving to the corner by the door.

    The song ended, and I asked, “Okay, herd. Why did you choose C?”

    They chuckled awkwardly until someone said, “It’s curvy.”

    That person got two claps, then we turned to the lone two or three people who chose E. “It’s the only vowel.” Two claps.

    I stood. “Can I tell you what some kindergarteners said? In a Kinder class, the studentsB said, ‘If it rains, H is the only one that will fill up with water.’ Isn’t thatB adorable?

    They all chuckled.

    “Tess’s dad, you asked something right when the song started that I want to mention. You asked Tess, ‘What’s the right answer?’ That’s a natural question for many of us. Years ago, when we were in math class, it was focused on who could get the right answer the fastest in the fewest amount of tries.”

    Several nods around the room, a deep voice in the back says, “Yep.”

    “It’s possible that some of your students have come home and said, ‘Math isB weird this year.’ That’s a natural feeling, too; the class isB less focused on theB right answer and more focused on the why, aB question you heard me ask several times this evening. You can ask that question at home all the time, just get your students talking.”


    Claire, it’s possible that students will be more comfortable under your more-advanced tutelage, and I’m hoping they’ll at least be interested in explaining their reasoning.

    ~Matt “Math Class is Weird This Year” Vaudrey

  • Visual Patterns – Week 2

    Dear Claire,

    I stumbled (re-stumbled?) upon Fawn’s post about the first two days. Sprinkled with her usual wit and orneryB charm, the visual pattern process struck me, especially since we’re hitting that hard next week as we “create equations and inequalitiesB and apply them to solve problems.

    (You might recognize that language from the pacing guide you wrote.)

    Anyway, we started with Visual Pattern #2:

    visualpattern2

    The projector was on the fritz (#RealTeacherProbs), so I drew the four steps on the board.

    “Look over here. Pencils down, fold your hands. This is step one. [pause] This is step two. [pause] This is step three, [pause] and this is step four. [pause] On your yellow paper, please draw me step five. Go.”

    After one round of the “talk to your neighbor song,” I drew playing cards (read: popsicle sticks) and asked students to describe their drawing to me as I drew it.

    “Okay, draw five squares and then four squares.”

    visualpatterns2 -1

    “No, like… the four squares are connected.”

    IMG_5063

    “No! Just… look at step four and draw that first.”
    I smirked, “I can’t see step four. Describe it to me.”
    “Ugh! The four squares are going vertically.”

    IMG_5064

    “Okay, now connect them to the bottom row.”

    IMG_5065

    “No! Mr. Vaudrey! Connect them to the last one!”

    IMG_5066

    “Dude, Mr. Vaudrey is trollingB hard right now.”
    Jayla couldn’t take it any more. “Okay! Listen and doB exactly as I say!” She stands up.

    I put on my best hurt puppy face. “But… IB have been doing exactly as you say.”

    Jayla holds up a hand. “Shh! Draw the line of five squares horizontally, touching each other. Then, from the last square on the right, draw four squares vertically, all connected.”

    IMG_5067_picmonkeyed

    “There! Was that so hard?” Jayla drops back into her seat.

    Although the class was loud this whole time, I submit that every student was … maybe notB engaged, butB invested in the problem. The discussion of which squares go where also helped the rest of the class access the problem. We spent maybe seven minutes describing in great detail how the squares were arranged.

    Visual Patterns are an example ofB doing fewer problems, but making them count.

    The whole class understands the structure, so when I ask them to fill in the table, and describe how they found steps 10 and 27, they can describe their reasoning.

    • Step 10 has 18 squares because step five has 9 squares and I timesed it by two.
    • Step 10 has 19 squares because it’s increasing by two and I just counted.
    • Step 10 has 19 squares because it has a row of 10 squares on the bottom, then nine squares going up vertically from the last one.
    • Step 10 has 21 squares because I increased by two each ti–wait.
    • Step 10 has 19 squares because it’s like two rows of 10, but minus one.

    For each of these answersbright or wrongbI erased what I had written and re-wrote what the student said. Understandably, students who were confident in their answer were upset whenB the teacher wrote a different answer on the board.

    I share Fawn’s love of student struggle. If I were featured in the next Avengers film, I’d be a super-villain who gains power off of the furrowed brows of teenagers.

     

    ~Matt “For anyone who doubts my excitement at returning to the classroom, this is the fourth blog post in a day and a half” Vaudrey

  • Double Clothesline – Equations

    Dear Claire,

    In a post last week, I described wondering if I was working hard at the wrong thing. Several students were comfortable solving one-step equations like this.

    "Subtract one on both sides, then divide by 3."
    “Subtract one on both sides, then divide by 3.”

    They were less confident, but able to solve, problems like these.

    "Add five to both sides and divide by.... minus two."
    “Add five to both sides and divide by…. minus two.”

     

    "I minused three on both sides, then I used a calculator."
    “I minused three on both sides, then I used a calculator.”

    But their methods would prove too weak by the time we got here:

    "I got stuck. I don't get fractions."
    “I got stuck. I don’t get fractions.”

    Claire, it would have beenB easy to praise their standard-algorithm style on Monday and Tuesday, then give them another standard algorithm on Friday.

    Soon, math class is a tool box with a bunch of tools, but students are unable to match the tool to theB function.

    For most students, it’s just a big box of metal.

    image: teresaphillips1965
    image: teresaphillips1965

    Instead, I wanted them to seeB why we solve equations the way we do, and Double Clothesline seemed to provide method to the madness.

    Naturally, students who had been praised for their use of the standard algorithm were hesitant.

    • I don’t get this way.
    • Do I have to draw the number lines?
    • I like the other way.

    The Desmos Activity on Thursday seemed to make some more connections. Some students blew through it quickly, but the questions they asked betrayedB the appeal of aB formula or rule in math class.

    Then on Friday (with no devices, #RealTeacherProbs), I used Desmos Activity Builder to structure the lesson (pulling down those equations as PNG from Google Draw).

    Fractions double clothesline 1

    “Look, class. Two thirds of x is six. There are twoB chunks between two-thirds x and zero. How wide is each chunk? Yes, so one-third of x is three, where does x go?”

    Fractions double clothesline 2

    “If one-fourth of x is 12, where is x?”

    Fractions double clothesline 3

    “Give me a number, just call it out. [Listens for a number divisible by 3.] Okay, I heard nine, so three-sevenths of x is 9. Talk to your neighbor, where does x go?”

    Claire, hopefully you see what I’m trying to do here. Offering aB visual cue for equations with fractions. The language that students used to describe their work went like this:

    I can see that each of the three chunks takes up three on the number line, so one seventh is three. Then I multiplied that by seven to get 21.

    Fabulous. Now, when I show them this:

    IMG_5058

    It makes sense.

    I consider it a good day when the standard algorithm makes students say out loud, “Oh! That’s way less work.”

    ~Matt “Yes, it is. And now you know why.” Vaudrey

  • My Three Friends

    Dear Claire,

    I’ve recently become re-acquainted with three friends.

    Since I left the classroom, my three friends and I haven’tB talked as much. We just… had less common ground; the time together gotB more cumbersome and more full of awkward silence.

    You know how it is; eventually, youB start ignoring their calls.

    “Oh… hey guys…” (I’m the woman in black, looking for any excuse to ditch these three.) image: David Woo

     

    Since subbing in your class, these three have kicked in my door, demanding we get reacquainted.

    Guilt

    image: tishamp
    image: tishamp

    It was probablyB Tuesday of this week. Seventh period had just clambered out the door after a clumsily-ended lesson. As I collapsed into the desk chair and felt the presence of Guilt leaning over my shoulder.

    “That didn’t go so well did it?” I could feel Guilt’s smug grin and thinB eyebrowsB peering at my plan book, which readB Double Clothesline – Equations.

    There wasn’t much else in the book.

    Guilt continued, “Perhaps you could have prepped a little better. Some of these students are taking this class for the second or third time, you know. Don’t they deserve anB excellent teacher?”
    Guilt straightened and folded his arms behind his back. “If they were your children, what kind of teacher would you want for them?”

    As Guilt turned for the door, he shrugged and called back over his shoulder with a smirk, “And Claire is counting on you to get these kids ready for her when she comes back.”

    Then he left.

    Before the door could close, a knobby set of knuckles grabbed it and swung it open again.

    Time

    Smile by Terry Chapman on flickr
    image: Terry Chapman

    I didn’t see herB at first; my head was in my hands, staring down at my planning book.B Dammit. I take a deep sigh.B I see exactly where I botched 7th period. If I could do that lesson again tomorrow, it’d be way better.

    “No can do, Matty-O.” I look up to see white-haired Time leaning against a student desk, her wrinkled skin bunching below herB smile. “Tuesday’s done and you’ve got to finish the Solving Equations Unit before the test on Thursday.”

    She tapped a large watch on herB wrist. “I wait for no one. Tap them feet; you’ve got progress to make.”

    “Okay, hold on.” I complain. “I didn’t start 7th period the same way that I did 6th, so now I have classes with two different depths of understanding. Can I get a do-over?”

    “Ha! Nope,” barks Time, her head shaking back and forth onB her frail shoulders. “Plan tomorrow’s lesson, not today’s again.”

    I leaned back in my chair as the watch on herB wrist began to chime. “Oops! Gotta run!”

    And she sprinted out the door.

    Adrift

    image: DaiRut
    image: DaiRut

    The door clanged shut just as the A/C hummed on. It’s been 80 degrees during 7th period since school began last week, so the students get squirrelly and crotchety. OfB course, it kicks on now, at 2:57.

    I tiltedB my head back and stared at the discolored ceiling tiles.B The pacing guide is good, but the textbook and standards are new. I thoughtB to myself.B It’s natural for teachingB to be hard… should it beB this hard? Am I working hard at doing it wrong?

    “Wurf.” The third friend, a lazy St. Bernard, plodded in and collapsed below the vent in the middle of the class.

    She first joined us mid-WednesdayB afterB a fairly traditional lesson. We did a warm-up, then notes, then practice problems on the whiteboard. The students were more orderly and more comfortable following orders and solving equations using the standard algorithm than they were using the Double Clothesline method.

    I looked down at my plan book.B Is it worth it to attempt to un-learn the standard algorithm so they can seeB why it’s important? Am I doing more harm than good here?

    Adrift shrugged her shoulders, vacantly looking around the room, as if counting the lights or wondering if all the pieces ofB notebook paper could fit together to make one whole piece.

    I pulled up a Twitter window on the computer and typed,

    Teaching is the best and hardest job in the world, in large part, because the goal posts are nebulous/can shift in the 5-min passing period.

    Adrift coughsB and makes eye contact for the first time.B Really? She rolls over, not waiting for my response.

    “This is good,” I say out loud. “It’s good that I’m feeling this again; the whole point of me stepping back into the classroom was to remind myself of what teachers feel on a daily basis. The feeling ofB plotting my own course through the curriculum, even when I co-plan with some teammates is a natural feeling for teachers.

    Adrift yawns and flops her head down on my Teacher’s Edition.B If you say so.


    Claire, my three friends weren’t welcome additions to my calendar this week; in fact, I’ve quite enjoyed being free of them since I took the job as Ed/Tech Coach two and a half years ago.

    Yet for my teammates, for the few hundred who have sat in my workshops since I left 30 months ago, and for you, Claire,B I should really do a better job of keeping up with them.

    “Credibility” was one of the reasons I volunteered to pick up a long-term sub job, toB remind myself what teachers feel.

    I should be more careful what I wish for.

    ~Matt “Imaginary Friends” Vaudrey