we can make school what it needs to be (part 2)

In eight years, my school has done a great job cultivating celebration among students.  In an era of new, small high schools that often serve to weaken ties between schools and the neighborhood communities that surround them, we’re doing our best to build a community school.  We understand that this is paramount to building any organization.  People work at Google (any many hip startups) for more than just the money – there’s a culture of fun that goes with it.  Boy Scouts have been sewing badges onto their vests for years – badges that represent the good they have done, that they take pride in earning.

What if our students knew they could earn celebrations, perks, t-shirts for mastering certain sets of skills?  We already celebrate with these sort of things, for character, for friendly competition, for groups that meet and make the most of their role as community members.  But what if we took it to another level.  What if a student earned a well-designed t-shirt for mastering a set of academic skills?  What if they could sew a badge onto a sweatshirt if they completed a certain type of project?

It’s not cheapening the pursuit of knowledge – it can be a made to mirror the world we live in.  We love recognition.  We love to play games because we understand and relish the sequence of goals and accomplishments that we encounter.  A student’s transcript can do the same thing – and in wealthy places, it does.  But when there’s poverty, kids don’t always see their transcript this way.  It purports to say all of these things about a student’s accomplishments – what if we helped make it clear to them, at the same time that we were sweeping the rug out from underneath the factory school model?

we can make school what it needs to be (part 1)

We’re talking a lot at school about innovation and change: the idea that we can basically turn our school into whatever we want it to be, as long as it works for kids.  One idea that’s gaining traction among us is the idea of mixed-grade level, open-enrollment “Expedition Classes” that students choose from a catalog, similar to what they’d do in college.  We could write Expeditions that draw on whatever resources we can find, that connect the students to their community in any way we can, and meet whatever standards possible while give the kids a real, captivating experience.

A culture of mastery-based grading is taking hold at school, and one by one we’re realizing that if kids meet the learning targets, then we’ve accomplished something – and grades don’t really matter.  Kids are learning this too, and taking initiative in their own education.  We’ve got the technology to help us do this.

We’ve also been talking about how obvious it is that if kids would just read for 30 or more minutes every day – from real books – then so much else will fall into place, academically.  Which gets me to thinking: when you come from an impoverished household, how much of reading is just knowing what to read and having access to it?

So what if kids show up for 9th grade, and we say, here’s what you have to do to become a 10th grader.  You have to read 10 (or n number of) books, write about them, and talk about them to someone else.  You should start a blog to provide evidence of what you’re reading.  We’ll help, by providing prompts.  You have to complete a series of projects in these content areas, but you’ll move at your own pace, and you’ll have some power to choose precisely which projects you pursue.  These projects will be called Expeditions, and you’ll meet in Expedition Classes with other students who are working on the same thing.  Some of you will take on some extension activities.  You’ll need to gather a few skills, and for that, we have daily classes and workshops to help you do this.  You’ll earn badges for all the things you accomplish, and great accomplishments will be publicized.  When you accomplish enough, you’ll move on to 10th grade, where another series of accomplishments awaits.  If you get far ahead, we’ll set you up with internships, or college courses, or at least “college level” courses, which will help you get ready for higher Ed, if that indeed is your goal.

We’ll also make sure that you really understand what it means to be part of a community, and we’ll celebrate together.  Heck, maybe we’ll even start a business or two – making stuff, feeding people, helping where we’re needed.  Of course, it’s all up to you, the student, but isn’t this a place where you’d love to hang out?

flowers.

Every one of which was planted, individually.

When does a word matter?

I spent today’s NYC Chancellor’s Conference Day down at Math for America in a workshop presented by Richard Steinberg, a physics and education professor at The City College of New York.  He presented his case for inquiry-based science and math instruction before spending a few hours leading us through a semester’s worth of inquiry-based astronomy.  As often happens in a worthwhile session, I found many connections to my current work, and I related to a lot of Richard was saying.

The word understanding has been on my mind a lot lately.  It’s big in the CCS, and I’m making an effort to use it explicitly in my learning targets this semester.  It will be important to teach explicitly what it means to understand something, and I hope this spring to be able to get students to understand that understanding a topic is as worthwhile as we say.  Steinberg was big on this, and it shed some light on my thinking about that word.  Structured thinking about what it really means to understand: that we can apply knowledge, even out of context, that we can connect it to other knowledge, that we can extend it to new things.

Steinberg said he teaches depth because students aren’t learning from broad curricula anyway.  When he began teaching college physics, he decided to go deep into fewer subjects, and his students performed about the same on college tests.  Implicit in this was that he and his students had a better time with the material, became better thinkers, and took more away from the course than those who were merely told a bunch of content.

We talked about developing a need for vocabulary in students – the idea of discovering a phenomenon before labeling it with a vocabulary word, rather than the other way around.  I reflected on my own high school experience, when drifting through biology class in tenth grade convinced me that I wasn’t much of a science student.  There was so much to memorize!  So many words to connect to unconnected concepts!  (This was also my last year bothering to take a foreign language, which at the time came as such a relief–no more flashcards!–but that I regret now.)  In the subsequent two years, I would truly enjoy my chemistry and physics classes, where knowledge grew from knowledge, and where there was always a new need to know.  Of course, I had already been herded out of the highest science track at school – there would be no AP for me – and the knowledge that I wasn’t a science guy stuck with me as I aced those more systematic classes and even discovered errors in the textbooks.

It’s not that I hated words: I loved English class, reading and writing.  I became a poetry major, for heaven’s sake.  But there was a difference between celebrating words for their use and drudging through them so that they could be used to identify things I’d never seen, or touched, or experienced.  For a long time, I’ve fancied myself quite a book learner, but I’m realizing now that it’s not that.  I can be cerebral – but there needs to be an experience happening, even if it’s all in my head.  There needs to be a reason for a word.  Once there has been a worthwhile experience (and I could be talking about remembering someone’s name here, too) that proves I need a word for anything, I’ll never forget that word.  I’ll celebrate it and use it, and sometimes go too far by expecting everyone else to know precisely what I mean.

So – with full acknowledgement to the range of learning styles that exist – I want my students to get there.  I’ve expressed to them my disdain for memorization plenty of times, but now I’m feeling more certain that I have plenty with which to help them replace it.  Let’s really get to the point of wanting words, then learn them.  Let’s experience, in simple ways at first, that when we really understand a concept, we truly engage it, and it feeds into a cycle of picking up new knowledge as we so please.  Let’s consider words as the precise tools they are, and bask in the quiet that follows knowing we’ve said what we want to say.

 

 

PS. A good idea for an ongoing homework assignment: have students search for isomorphic/circular reasoning in pop-culture or politics, and work to debunk it.

Spring Goals: 11th Grade Math, Specifically Trigonometry

11th Grade Math / Trigonometry

  • TLT 2, and the use cycle for active pedagogy strategies within this curriculum.
  • Digital archiving, so I can share & provide work in a place like this TLC
  • Scaffolding SLTs into the larger ones that make up my Trig curriculum
  • Writing process and graphic organizers

If, in June, I can say that I’ve achieved my goals in each of these four areas, I’ll be excited.

For starters, the first and third bullets above are related, and I’m already working on them: by creating a nice, big, Expeditionary Learning template with a column for big SLTs (already written from last year), a column for scaffold SLTs that I’ll use on a daily basis, and a column for active pedagogy strategies that I’ll use for each target.  By Monday, this living document will be fleshed out at least through the first few SLTs of the Spring, and I’ll continue working on it throughout.

It’s the second bullet point that I’d like to consider here, and this is the first of my Spring goals that I’m going to make SMART.  After that, we’ll see what else follows.

SMART Goal, Spring 2012: Archiving Student Work

Specific: I would like to have a digital archive of selected student work for each major product that students complete this Spring.  I’m still considering the role of smaller products, or how “big” is big enough for a product to be worth archiving.  That question will work itself out.  I’d like to have exemplars, but also examples of common mistakes in my scanned work.  I will archive it in Dropbox, but maybe I’ll also post some of it on the class web site.  That’s another question that will work itself out.

Measurable: After each major project, I’ll count how many students handed in work and how many met each standard.  Then I’ll scan some of the assignments.  By the end of the term, I should have well-organized archive of work that I’ll be able to present at my Teacher-Led Conference.  As for a number, let’s say there will be at least three pieces of scanned (or photographed) work for every component of  every project I assign.

Attainable: I have a scanner, I have projects written, and I have students who do them.  I have to make time to scan, and I have to develop my practice of choosing work for that purpose.  It’s all within my reach.  When I debrief this in June, I’ll reflect on the time taken, and whether it was worth it.

Relevance:  Yesterday at my TLC, I really wished to have well-organized student work to share with my colleagues.  I’m doing something about it.  Hopefully it will also help to inform current and future students, and will therefore improve my practice as a teacher.

Time: I’ll know in June.

Questions:

  • Will this be worth my time?
  • How much time will it take?
  • How will I decide which work I should scan?
  • What is the right number of products to scan?
  • Besides putting this stuff in a digital folder, how else will it be used?  Where else will it go?

 

Spring Goals: Pre Calculus

Pre Calculus

  • Making sure kids don’t hate math.
  • Keeping the ideal of rich problem sets and exams with which I started the Fall, but adapting to kids who have proven unprepared for that.

When the year began, I was probably most excited for this class.  I’d be working with nearly 40 students (mostly seniors, some juniors) who had opted into the class, and I would loosen the structure a bit in order to allow ideas to take over.  I would adapt some of the math I’d studied at PCMI in July into weekly problem sets for the kids, give homework online, and assess only based on exams that would – ideally – feel easy to kids after all their hard work on the problem sets.

It didn’t work.

Even the best students don’t metamorphose magically just because I’ve known them for years, or because they’re seniors, or because they’ve chosen to undertake this challenge.  Part of what made my relationship with these kids work was the way they connected to the content last year.  When I tried to take them on subtler mathematical adventures, or to do more of the computational lifting that the state Algebra 2 curriculum requires, things got a little difficult.  A lot of these kids aren’t tough thinkers, either: the moment things get tough, they begin to believe that “it’s hard” is a valid reason to check out.

So this Spring, it’s time to win them back.  The easiest way to do this is to bring back a lot of the structure of last year, but I’d prefer not to go all the way in that direction.  I will assess more frequently than once every two weeks, and I won’t be so naive as to think that problem sequences are enough to keep all the kids involved, but I still want to run a class where the work is self-motivating for those who undertake it.

Then how do I summarize my goal for this class?  I want more kids to be involved – even those in their senior spring – and I want them to leave with a knack for math and for some good critical thought as they move on.  Classic wishy wash.

Short term, I’ll make the learning targets specific and achievable for the new unit.  We’ll start the Spring with a unit called “How to Count,” in which we cover the probability and stats that are on the Algebra 2 Regents exam.  Hopefully we’ll have a good time.  There will be more frequent quizzes.  I’d like to keep the structures that worked — the emathinstruction packet, the deltamath homework — and continue with abbreviated problem sets in some respect.  There will have to be quizzes to help kids see where they stand, and we’ll keep the exams about the same.

Baby steps toward clarifying goals.

Statistics Debrief, Part $%*%#!

I never got around to finishing my debrief of the Statistics semester that was, at least on these pages.  I think I forget the majority of what I was going to write about.  I have come to an important place in my career, where I’m experiencing the detrimental effects of being too busy to reflect.

When there’s time, between semesters as we are right now, for example, I’m so happy and hopeful for all that can happen in school.  But then the semester begins and all the ideas are thrown into the spinner, and I can only hope to remember all of that sense of possibility.

What happens is that amid the bustle of the school year, I do so much that I get to the point of just getting everything done.  It’s all incredible, and satisfying, and rewarding in real ways, but at the end of the semester, is difficult to concisely tell someone what I’ve been doing for the last few weeks, months, and year.

I am the full-time 11th grade math teacher, and to do that job well is to have a full time job.  I also teach a section of pre-calculus to seniors.  I advise a Crew of fifteen 9th graders, and guiding them has been trying.  I’m helping to start a cycling program here at school, and the full-time instructor once employed by the folks who supplied us with the grant has been let go due to budget constraints, so with one other coworker, we’re making that up as we go along.   A few of the kids have never been on a bike.  I’ve been the 11th grade team leader for a year and a half, but I’m handing that role off to a teammate for the Spring.  I like to have time to talk to colleagues, help students informally with their math, play a little guitar with kids, and get home to my little guy in time to hang out.  Empirically, I tend to agree with the camp that says attention is a finite resource, even though I work hard to maximize it.

To list all of these things is to ignore the finer details that go into any.  What I realized today, while presenting my first-ever teacher-led conference (TLC), is that setting clearer goals at the start of a semester will make it easier to talk about my accomplishments later.  At least that’s the hypothesis upon which I’m going to act.

I mean, I write student learning targets and I stick to them within my classes, and I have been rewarded by feeling the freedom to explore within the constraint of knowing very specifically what I have to teach.  It’s time I do that with my own personal goals.  Maybe I’ll make them SMART, like we have the kids do in their crews.

So it’s time to goal set for the spring.  Here’s an organized first-draft that I’ll flesh out over the next few days:

  • 11th Grade Math / Trigonometry
    • TLT 2, and the use cycle for active pedagogy strategies within this curriculum.
    • Digital archiving, so I can share & provide work in a place like this TLC
    • Scaffolding SLTs into the larger ones that make up my Trig curriculum
    • Writing process and graphic organizers
  • Pre Calculus
    • Making sure kids don’t hate math.
    • Keeping the ideal of rich problem sets and exams with which I started the Fall, but adapting to kids who have proven unprepared for that.
  • Cycling SMARTs
    • Getting kids road ready and enjoying this whole experience.
    • Bike maintenance; being a great steward of what’s in that closet.
    • Use of social media.
  • Crew
    • Thinking long term, where should we be now?
  • Social Media & EL National Conference
    • Our Twitter & WordPress
    • My own classroom use.
  • Personal-Professional
    • Doing everything above, but having time to think about the revolution.
    • Think critically about the Danielson Framework.
    • Reading more on education philosophy so I can clarify and better define mine.
    • Does my blog fit?

Statistics Debrief, Part 1: Why turn Algebra 2 into a Stats Class?

Over the summer, starting at PCMI, and continuing into my planning for the year, I came to decide that I’d frame the first semester of my 11th grade Algebra 2 & Trig classes with a statistics curriculum.

Several factors played into this decision.  Among them:

  • My students and I have shared a great experience delving deeply into trigonometry each of the last two Spring terms, but I have been much less satisfied with the mish-mosh of topics that comprise “Algebra 2″ and that I had loosely covered the last two Falls.  I thought that a stats focus would create a common thread similar to trig, while still hitting many of the Algebra 2 topics.  Indeed, many stats topics are part of the Algebra 2 curriculum.
  • Statistics are well-represented in the Common Core Standards for high school math, and I wanted to take an opportunity to get to know them a bit.  The Student Learning Targets I used in my classroom came directly from the CCS.
  • The majority of the students scheduled for my A2&Trig have not mastered all of the topics from Algebra 1, so they’re unprepared to hit the ground running on things like function composition, logarithms, or polynomial functions.  Rather than just frustrating them by either lobbing more bricks onto a shoddy foundation, or – probably worse – hammering away at topics they’ve tried unsuccessfully, it seemed to me that stats would feel fresher to many students.  Not that everything would be brand new, but a new lens always helps.  Additionally, about 20% of my students still need to pass the Algebra 1 Regents exam.  For them, revisiting then building on some stats concepts from that exam would hopefully help them.
  • In late August, the NY Times published an the op-ed piece, “How to Fix Our Math Education,” and I generally agreed with it.  Now, I believe strongly in exposing kids to the beautiful topics of pure mathematics: to topics that flow from one to the next, and those from which surprising and exciting connections flow.  But as Mumford & Garfunkel write in their piece, quantitative literacy and the ability to solve real-life problems should be central to the math curriculum.  The ideal of any math teacher worth their salt should be to mix both.  And here’s the thing: some Algebra 2 topics, like dividing polynomials, don’t fit into either of these categories.  Here is a topic that lacks both pure beauty and common real-world application.  At best, division of polynomials is a fun puzzle for the whizzes of algebraic manipulation (a subgroup of any class to whom I’ll be happy to make this introduction) or a building block of advanced algebra for students who will continue down the corridor of our currently traditional math curriculum (probably the same kids).  A focus on stats, it was clear to me, yields the opportunity to address real-world questions.
  • Or, as simpler summary of the long-winded point immediately above this one: IT’S THE INFORMATION AGE, AND STATISTICS ARE FREAKING EVERYWHERE!
  • Finally, upon returning to school, I learned that this year there would be a school-wide focus on argumentative writing across the curriculum.  What’s more obvious than using statistical analysis to advance an argument?

I might be repeating myself a little from previous posts, but over the next few days, I’d like to debrief on the semester that’s ending now, and also begin to use this site as an archive for curriculum, projects, and ideas.  It only seems right to start by recollecting why I started the semester as I did.  In the next post, I’ll begin the reflection.

It’s Possible to Think This Much

I just read this ESPN interview with Aaron Rodgers.  I am an extremely casual NFL fan, and my fascination with this piece is really less about the sport than about the insight gained from someone who is operating at such high level in anything.  I’ve long admired the practice and planning that go into completing just one pass in the NFL; Rodgers does a nice job describing the levels of thought that go into the task.

It’s backbreaking, mindwracking work getting students to reach new levels on the pyramid of understanding how much it’s possible to think about something.  So many of my kids think that mathematical competence or the ability to express a clear, concise, novel thought is something that you either have or you don’t.  To them, it’s a tired banality to say that hard work pays off.  A world-class musician, athlete, writer or mathematician considers details that the rest of us cannot imagine.  This is a really difficult idea to explain to students who have rarely experienced success in school.  I am finding that framing the question to students, “Do you have any idea how much it’s possible to think about this?” is becoming a guide to my life’s work in educating “high needs” students.  It’s only possible to teach it by example, through the slow, onion-peel process of pushing the ZPD to its limit, debriefing about what happened, and repeating.  I am excited about this work.

As teachers, it is our job to think as much about our work as any virtuoso in their field.  Aaron Rodgers says that you can’t complete a pass in the NFL without looking the defender off, and that practicing a play a thousand times allows him to run a play such that the cornerback only gets the tip of his pinky on the ball, rather than the whole knuckle it would take to deflect a pass.  How does a subtle word choice affect how well my students get it?  How can I engineer my classroom so that students feel successful enough to keep going, rather than wanting to quit?  The third and ten metaphor is apt: complete the pass by an inch, keep possession, and keep going, or knuckle-deflection incompletion and turn it over?

Interim Assessments, and How to Make the Most of Planning

I’m excited about the choice my school’s leadership has made for our Interim Assessments this year.  In the past, these assessments have been corporate-produced multiple choice tests that may or may not have aligned to what’s actually being taught when, and their results were not often seen and rarely useful.

This year, instead, we’re doing a series of five argumentative writing assignments in every core subject area, including math.  We teachers have the opportunity (or task, depending on your frame of mind) to write these assignments for our current classes, and we have common planning time to discuss the assignments and the student work they elicit.

The mathematical context of the assessments I’m writing is a semester-long study of statistics with my first-semester Algebra 2 students.  My first assignment in this series had students comparing the scoring stats of three fictional basketball players, then arguing for which one they would want to sign to the New York Knicks.  For this one, I’ve decided to give them economic data for three countries and to ask them which they’d choose for relocation.

It can be difficult, but if I make time for it, it’s really teaching work of my favorite kind to write a new assignment.  It’s a creative endeavor, it’s a chance to learn a little something new about the world, to surf the web and file ideas away for later, just to play with ideas.  I took these notes on my process last night, and paste them here just for the fun of it.

Planning Steps, 11/21/11

  1. Open a Sapporo Reserve and put OK Computer on the headphones, after noting to a student earlier today that although Exit Music seems like a pretty little song, it’s extremely dark and angry about the status quo.
  2. Look at list of countries by income equality (http://en.wikipedia.org/wiki/List_of_countries_by_income_equality) – and note that Japan has the lowest Rich/Poor ratios – for both 10%’s and 20%’s – of all countries on this wikipedia page.  (A list of 34 highly suspect – to use a subjective term – countries do not list this ratio.)
  3. Look at a list of world populations and see that Japan, with about 128 million people, ranks behind Brazil (191 million), Pakistan, Nigeria, Russia and Bangladesh, and ahead of Mexico, Philippines, Vietnam, Ethiopia, and Germany (82 million).
  4. Open a blank spreadsheet and consider the stats that might be interesting here.  I only need three countries on this assignment, but let’s make a list of all 11 to get started.
  5. Record populations from http://en.wikipedia.org/wiki/List_of_countries_by_population, and add Egypt to the list because it’s right there with Ethiopia and Germany, and this seems like an interesting trio.
  6. Record R/P Ratios for these 12 countries in the next two columns.
  7. After wondering what to do next, see where wiki links take me.  Specifically:
  8. Recognize that why this is fun is that it leads to more question than answers, and more ideas for the future than I have days to teach in school year.  (Which is why, as I’ve ranted before, there is no reason for students ever to be bored in a math classroom.)
    • One such idea, that I’m very excited to definitely use next week, is writing a linear regression for Big Mac Prices vs. GDP/person, as shown in the Economist piece.
  9. Decide on Mexico City, Tokyo, Moscow – each anonymized.
  10. Play with this site, which is AWESOME, for many other lesson planning purposes:
    • http://www.numbeo.com/cost-of-living/city_result.jsp?country=Mexico&city=Mexico+City
    • http://www.numbeo.com/cost-of-living/city_result.jsp?country=Japan&city=Tokyo
    • http://www.numbeo.com/cost-of-living/city_result.jsp?country=Russia&city=Moscow
    • By the way: http://www.numbeo.com/cost-of-living/city_result.jsp?country=United+States&city=New+York%2C+NY
  11. I went on a scavenger hunt for other data – and let me reiterate that the little side discoveries are the real reason to set aside a little time and work like this!
  12. In the end it’s always a bit of a shock to try to put everything on paper and distill a wild research goose chase into a digestible little 30 minute assignment.  I rarely feel like I used everything I’d hoped to use in the ways I’d hoped to use it.  But time being what it is, I made some decisions, some of which will make me happy a month or so from now, and some of which will fall flat.  Here’s what I came up with – debrief on student work will follow.

What got made:

What didn’t, yet:

  • A rubric
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