Monday, June 30, 2014

#Made4Math - Processing Ring


It's Monday again! I can't believe that summer is almost halfway over for me... EEKKK! I have spent most of June out of town at workshops, which has given me some time to think and reflect on my year. Last summer, one of my focal points was formative assessment and FA is definitely still at the forefront of my mind. One of my #Made4Math projects last year was a flipchart folder of ideas to use in my classroom, but unfortunately, I did not utilize the folder nearly enough. It often stayed in my school bag instead of being out on my desk where I would use it. This year, I decided to try something smaller to encourage myself to use the strategies more.

If you read yesterday's post, you saw this tweet:

That tweet led me to do some more research and I found this link of tons of instructional strategies. This focus on mini-processing strategies ended up with the creation of this:


On the inside, each strategy has a card and the instructions are on the back:

I'm pretty sure either Rachel or Pam posted a similar idea last year, so this is not original to me, but I'm really hoping that my "Ring'O'Strategies" is used more often this year since it's now small enough to go on my desk in a prominent place... :)

Don't forget to check out the other Made4Math projects this week!

Pedagogy vs. Compassion

This year has been the most tumultuous of my life which is why my posts this year have been so infrequent but this summer, my first summer off in my 5 years of full time teaching, I hope to spend some time reflecting on my teaching career so far.  I also want to record my experiences in the school I most recently taught at in San Diego California before they grow cobwebs.  I have a lot of lesson plans I want to share but first I want to think about how teaching at a disadvantaged, high poverty, high IEP percentage school was different from teaching at my relatively privileged charter school in Oregon and VERY privileged private school in New York.  It wasn't that different.

I did have to change how I taught.  I used inquiry based approaches at the other two schools in which I've worked.  The students had good study skills, were well organized and cared about their education so getting them engaged in self-discovery lessons wasn't that difficult.  They knew how to accept challenges and persevere even if they didn't know how to do something.  Boy did this bomb in my school in San Diego.  In geometry class, if I gave the students rulers they were immediately put to use as either projectiles or weapons.  If I asked them to spend 10 minutes completing an activity on their own, all the cell phones came out or hands went up asking for help.  No one had the initiative to even attempt an activity on their own.  Games descended into chaos.  I quickly learned that these students needed a very firm hand and they would only behave under direct instruction.  Maybe I should have persevered with inquiry based approaches and over time they would have gotten better but the standards hanging over my head made me too nervous to spend too much time on this classroom chaos.

Their study skills were so weak that most didn't take notes, bring paper or pencils to class, and many didn't know their multiplication tables.  I spent a lot of my time teaching them how to listen in class, how to take notes, how to use their notes effectively, how to show work and how to care.  I did use a lot of questioning in my direct instruction lessons- I never actually completed a problem myself on the board, always asking for student input- but it was still direct instruction.  At the end of the year though, as I was grading their final project and their final tests, I was astonished to realize that they'd mastered as much content as the students in my relatively privileged Oregon school and also exhibited the same enthusiasm for math that my Oregon students exhibited.  Here's an excerpt from an e-mail a student sent me at the end of this school year- it's almost identical to letters I received from my Oregon students:

I'm not sure why, but it just recently dawned upon me that you will be leaving after this year and I'll probably never see you again, so I decided to write you a farewell letter. I've never really been compelled to write one to a teacher before so you'll have to bear with me here. I wanted to start off by thanking you for everything you've done, I can honestly say you're the best teacher I've ever had in my entire life. That being said, the support you've given me and the mentality of perseverance you have instilled in the classroom has really inspired me to work even harder and I wanted you to know you have made a big impact on my life. I want you to know that you'll always have a special place in my heart, even years from now, I'm sure I'll look back and be able to confidently say you helped me achieve my goals.

Without inquiry based learning, you-tube videos, gimmicks, games or technology my students in San Diego reached a similar mastery of content and a similar changing of attitudes about math that my students in Oregon attained.

My pedagogy didn't matter.  Or rather, I used the methods that I thought would work for my students.  Method mattered much less than I would have thought.

I don't want this post to sound boastful- I had the same number of failures and frustrations as other teachers but I did feel successful at the end of the year.  I am left questioning the amount of time I've poured into thinking about my method- feeling guilty over not using more inquiry based approaches or not doing enough projects or relying too much on direct instruction or not letting learners of different styles shine since direct instruction caters to auditory and visual learners.  Certainly method was important but it wasn't a question of "is direct instruction or inquiry instruction the correct way to teach," it was a question of "is direct instruction or inquiry instruction the correct way to teach for my students."  Would my Oregon students have learned as well as they did had I used direct instruction on them?  I don't know.  Or was the method of instruction really not that important at all?

I got numerous notes from students at the end of this school year and all of them cited my ability to listen to their difficulties, to work with them after school, and my stubborn refusal to let them give up that helped them succeed.  (There were a few students that I failed though, don't get me wrong.  And I felt like giving up on a lot of them sometimes.)  None of them mentioned my lectures as being boring and a lot of them thanked me for teaching them how to listen and take notes because it helped them in their other classes.  Where does this leave me in the pedagogy wars? I don't know... but maybe it's time I directed my guilt away from my methods of instruction and try to hone what does make me feel successful- treating each student with compassion and trying to be flexible in finding what works for them, regardless of what methods are fashionable in the larger ed-community.

Sunday, June 29, 2014

Summarizing and Thinking Time

One of the books on my to-be-read list is Summarization in Any Subject by Rick Wormeli. This is a book that I've been eyeing for at least a year, so I checked it out from my school's Professional Library in May. Today, hubby and I went to take my dad out for dinner, which gave me a couple of hours roundtrip to skim the book and I'm glad I did! The book claims to have 50 strategies for any subject and while I wasn't equally impressed with all of the strategies, I did find several that I really liked.

One of the things that I have read about a lot lately is the idea of 10:2, which is the concept of every 10 minutes of the lesson/lecture, give students 2 minutes of processing time. I have known of this concept for years, but at my AVID workshop, it hit me again. I'm definitely one that needs my processing time and as a learner, I really appreciate when that time is built into the lesson, but I don't do enough of it as a teacher. I hear people talking about writing in math and when I was in high school, I would have agreed with the nay-sayers, but as a learner now, I see the benefit of writing. When I write, whether on this blog or in the mini-notebook I carry with me, it allows me an avenue to get the random thoughts out of my head and onto paper so that I can organize them into coherent ideas. If I keep them bottled up in my head, I get overwhelmed and lose focus because of all of the jumble of thoughts running and jumping and playing in my head. My notebook looks like a jumbled mess too, but once an idea is down on paper, I can process it and determine the feasibility of the idea.

I still need to go back and read the book in more detail, but here are the notes I jotted down while skimming in the car today:

  • 3-2-1 - This one is a pretty standard summary strategy and I've used it as an exit ticket, but I am including it because I don't think I use it to its full potential. In fact, the other day at Barnes and Noble, I saw one in a book that I was skimming that was 5-4-3-2-1 and it was an end of year reflection/teacher evaluation.

  • Carousel Brainstorming - I have used this strategy (and the similar Gallery Walk) before but not recently. Funny thing is that I even pinned a few ideas related to this strategy last night/this morning while browsing pinterest for AVID ideas. One of the reasons I haven't used it as much over the past few years is due to the cost of chart paper, which lead to me tweeting out a request for cheap chart paper ideas and Beth (@algebrasfriend) replied about the coloring paper at IKEA which is $5 for 100 feet of 18" wide paper. That made me look at Sam's, which apparently has 1000 feet of butcher paper for $18, so guess where I'm going shopping tomorrow? :) Custom sized posters... charts... banners... OH MY! :)

  • Inner Outer Circle - Earlier today, @kklaster had tweeted out about Quiz, Quiz, Trade, which is a quick review strategy that I have used before. When I read the section on Inner Outer Circle, it reminded me of a time that I had used it with Algebra 2 and log/exp form. I made flashcards with log form on one side and exp form on the other and had the kids get into concentric circles. They quizzed each other on switching between the two forms, then the circles rotated to a new partner. This past school year, I used QQT for some other ideas but had forgotten the circles part and mass chaos erupted as kids struggled to partner up or stayed with the same person instead of mixing around like they were supposed to. After reading this strategy and thinking/reflecting, I definitely think I will use QQT and Inner/Outer together as it keeps the kids with a structure on partnering and less chaos in general. Now to start working on my QQT cards! (Hoping I can get a set together for #Made4Math tomorrow!)

  • Learning Logs - This is another strategy that we use extensively in AVID, but I haven't really used it much in my math classes. I want to spend some time developing good Learning Log prompts for AP Stat...

  • Brain Dump - The book called this Partners A and B, but to me, it was purely a 'brain dump'. This is another strategy I have used in AVID, but not as much in my math classes. This would be a great strategy to use with the 10:2 concept. After about 10-15 minutes of lesson/lecture, let the kids have a brain dump. Often my students are seated in pairs, so designate one of them as person 1 and the other as person 2. Set a timer on your phone for 1 minute and person 1 says everything they can recall from the lesson so far. At the bell, person 2 does the same thing, but tries not to repeat anything that was on person 1's list. When the buzzer goes off again, give 1-2 minutes of writing time for the students to process/summarize the partner talk.

  • Give One Get One - This is another strategy I've used before, but I like how the book used a 3x3 matrix to collect the responses. In the past, I've done it with post-it notes and the students actually exchanged post-its, but the matrix has so many possibilities for organizing thought or even sequencing. Definitely a modification I plan to steal!

  • Summary Ball - When I first read this strategy, I thought it was going in the direction of the "write a bunch of questions on a beach ball and toss it around", which is a fun idea and one that I have pinned several times from various blog posts. However, this one had a fun twist of just tossing around the ball and saying something you had learned that day/unit, but if you couldn't think of anything, you had to sit down. I think it would be fun to see how long this could last and I am curious to try it on a quiz/test review day!

  • The book has 50 total strategies, but these are just a few of the ones that I really liked or have used before. I highly recommend the book and plan to purchase it for my personal library!

    Now back to the 10:2 idea. While skimming the book, I tweeted out the following:


    I really want to develop a go-to list of ideas that are really quick ideas similar to the ones listed above that I can use as a mini-processing activity. If you have a favorite one, please let me know!
  • Wednesday, June 25, 2014

    AVID Summer Insititue - Day 3

    Day 3 had us in our strands for one last time, then for my site team, we had a "mobile" site team meeting as we drove home from Dallas. :) Here are my notes from today:

  • We started out talking about how to use the critical reading strategies in a 1:1 classroom. Of course, with tablets, you can pretty much annotate right on them, but with Chromebooks, that would be more challenging.

  • Yesterday we worked on summarizing, today we looked at Macro and Micro structure of text. I understand the general point of Macro/Micro, but I'm not sure how to apply it to math effectively. With the Micro, the saying/doing activity was interesting but difficult as my idea of what the author is doing was definitely different than an ELA teacher perspective.

  • One idea I am totally stealing is "Sticker Props". A page of stickers showed up on our table, but it wasn't until later that the presenter shared what they were for. Apparently, when her kids work in groups, she puts a small sheet of stickers in the middle of the table. If a group member has a profound statement or an "a-ha" moment, they get to choose a sticker. I love this idea!

  • One activity I used as an elective teacher was the "One-Pager". The presenter suggested having students create a One-Pager via Google Draw if you are in a 1:1 environment. Draw is one of the tools of G-Drive that I haven't used, so that may need to be explored soon!

  • One of my favorite strategies we used today was a pre-reading strategy called Vocabulary Connections. The presenters had chosen 8 vocabulary words from the text and displayed them on the screen. We were asked to create a sentence using as many of the words as we could. I found it fascinating to hear the different sentences and combinations of words from my table-mates. I'm not sure how it would work in most math classes though...

  • Our final activity of the day was a Socratic Seminar. I've done SS's before, but one new twist that the presenter shared today was charting the conversation. Basically, she drew a circle on her iPad to create a "seating chart" of the circle. Then she drew lines from person to person through the circle to illustrate the conversation. The major benefit was that it allowed her to monitor the conversation and see who dominated the convo, who was quiet, and when two or more people were engaged in a debate.

    Now I'm home and the hard work starts... working on our site goals and preparing for the new year!
  • Tuesday, June 24, 2014

    AVID Summer Institute - Day 2

    Day 2 at AVID SI started in our strands at 8am, then after lunch we worked with our site teams. I felt that today was a very productive day overall and I'm very pleased with our progress.

    Here are my take-aways from today:

  • We started the day briefly discussing Cornell Notes, which is a staple of the AVID program. One of the ideas that was shared was regarding the Curve of Forgetting and how C-Notes can help with retention of material. One of the presenters uses a C-notes review as a warmup activity and asks her students to get out their C-Notes from yesterday's lesson/lecture and with an elbow partner, review/revise their notes. This would also be a good time to work on left-column or summarization.

  • Whenever we have done a quickwrite, one of the presenters always ends the last 10 seconds with "You have 10 seconds left.. finish your last though.. finish your last sentence.. finish your last word... and stop"

  • We did a Philosophical Chairs activity today, so I tweeted out asking for ideas on using them in math. I haven't had much response yet.. :(

  • Marking the text in math - I think I want to get into the habit of "circling key terms and underlining claims". In my class, that would be "circling key information" as in the important details of the problem and "underlining the question being asked". I am hoping that if I get my students in the habit of doing this, it will help them tackle new problems and gather the important information.

  • Modeling is KEY! I realized today that math teachers do a good job in general of modeling our internal dialogue that occurs when we tackle a new problem. However, in our strand, some of the strategies were used with the thought that we already knew what was going on. I understand that teaching children is different than teaching degreed adults, but modeling your expectations is important no matter what the age of your students.

  • We ended the day talking about summarizing strategies. I don't know how to use that yet, but one idea I had was to have some sort of gallery walk to illustrate different summary sentences of the same paragraph. When we were writing a one sentence summary for a paragraph of test, I was very anxious about whether I did it right. I know there wasn't a right answer, so I think seeing other sample student responses would have helped me to relax a bit.

  • One of the ideas for teaching summary skills reminded me of an idea from Embedded Formative Assessment. The presenter mentioned giving several samples of summaries and having students rank them by quality. I don't know if I like this idea or not since it can be very subjective...

    Tomorrow is Day 3, then home we go! :) Have a great day!
  • Monday, June 23, 2014

    AVID Summer Institute - Day 1

    Yesterday afternoon, I loaded up with 9 of my colleagues to make the drive to Dallas for my 7th AVID Summer Institute. Throughout the years, I have been to the Mathematics strands, Elective Teacher strands, Leadership strands, and this year I am really excited to be in the Critical Reading strand. I had several people today look at me funny when I introduced myself as a math teacher in the Critical Reading strand, but I'm really excited to learn strategies that I can use in my classroom!

    Taking a note from Sarah H over at MathEqualsLove, I'm going to try to jot myself some notes from today's session so that I can visit it later...

  • ALL teachers are teachers of reading and writing. This is something that I often forget. For obvious reasons, I identify as a math teacher but honestly, it is part of my job to teach students how to read a math text or how to write a mathematical argument. I need to integrate these skills more often.

  • One of the first strategies we worked on was marking the text. To be honest, this was NOT a skill I learned in high school or college. If you were to look at my college history books, it looked like a highlighter blew up on the paper because I had no idea how to interact with the text. Once I became an AVID elective teacher, this was a skill that I was required to teach to my students, only we called it annotating at that point. I turned to one of my ELA friends who also taught AVID with me and I'll never forger how she explained it to me. She told me to think of the text as a movie and anytime I got an urge to "nudge" the person beside me and say "OMG, did you see that!!!", then it was something that I needed to underline and write in the margins. If you were to look at my #EduRead archive of articles, you would see evidence of how I interact with text... usually through underlines and margin notes, but sometimes highlighting for something vital. I need to create opportunities for students to interact with text in my classroom. In AP Stat, we often have students read an article or a textbook passage, but I have not taught them how to be an active reader.

  • Pre-Reading strategies... this is a "duh" moment for me, because I knew that we should always try to activate prior knowledge. However, I never really knew what that meant! Today we did several pre-reading strategies such as the ever popular Quick Write with a relevant prompt, but one of my favorites was a set of "Interview" questions where we paired up and had a short discussion over questions that related to the text we were going to read.

  • Sentence Starters... OMG, I think this will be a game changer for me! Our presenter gave us a sentence frame that said... "In ____ (title of text), (Name of Authors) _____ (claim, state, argue, or some other verb) that ______." The presenter said that she was dreading grading 100s of sentences that were the same, but she decided to try it anyway. She gave the students a few minutes to complete the sentence, then had them table-share and choose one person to share with the whole class. All of the sentences were different, even though the structure and article were the same. One of the presenter's students exclaimed, "Miss! We sound so smart!!". The presenter's point was this... We expect kids to write academically when they don't know what that looks like. With the sentence frames, we provide structure to help them learn academic writing. Chalk up another DUH moment for me!

  • As one of the samples from reading in math, we did some graphs... I need to search out good infographics for students to read, notice, wonder, etc :)

  • One management strategy that I really liked was how the presenter brought us back from a group discussion. In the midst of the chaos of chatting about the task at hand, she would very loudly say, "Back to me in 5...4...3...2....1". It was very effective and I'm eager to try it.

    I know I learned a lot more, but those were my major take-aways from today :) Day 2 is tomorrow!