Showing posts with label Warm-Up. Show all posts
Showing posts with label Warm-Up. Show all posts

Daily Something [WCYDWT]

#WCYDWT

What can you do with this?

Why would a teacher use this?

How would you use this in your class?

What would you add? subtract? replace? other?

How would you use the information from student performance on this?

How could this be used as a pre-assessment? an assessment? an intervention?

Take a few minutes to complete each day. What do you notice?

Hint:
*  **  ***  ****  *****  ******  *******  ********  *********

Answer as many or as few of these questions... or feel free to add your own.

This:

Thanks in advance!
843


CCSS Workshop 2013

I did my first workshop this past week (5-30-2013), discussing the transition to Common Core State Standards, with a focus on the 8 Standards for Mathematical Practice. I'm working with K-5 elementary teachers, a couple of middle school math teachers, some support teachers, and a couple of administrators in the room. I'll admit, I'm not as eloquent a speaker as Steve Leinwand, but there might be a few times where I actually make sense. I'm throwing this video out there for some feedback. I don't expect you to watch the whole thing so I've provided some chapter markers you might be interested in. At the end of the notes for each chapter, I reflect by creating a wish-list of moves I would've done differently. They come across as rhetorical questions, but feel free to chime in. However, here are a few angles I'd appreciate you considering:
What did I forget to talk about?
Where could I have been more explicitly clear?
Where coud I have used a better strategy? ...and so on.


Opener: 0:00-10:10
I use an estimation task (Day 127) to kick things off, providing teachers with the handout Michael Fenton created for estimation180.com and my students. The handout has been through many revisions and I think we have a final version that's a winner.

I use the whiteboard to write the "Too Low", "Too High", and "My Estimate" of a few teachers, asking for reasoning along the way. We watch the answer and discuss.
8:15 is a precious moment where a teacher asks, "Wait a minute! What was it (the song length answer) really?" I love how a teacher is demanding more information. I wish I spent more time expressing the importance of her question. I feel rushed because of all the workshop content I have prepared. I wish I had allowed the other teachers to address her question more. I do with my students, why didn't I do this here?

Active Notebook Part 1: 10:15-12:55
Teachers glue their Estimation 180 handout to the inside cover of their workshop Blue Book and the Table of Contents to the first sheet while listening to Can't Buy Me Love.

Preview of Workshop: 12:55-20:50
I attempt at working on the following question throughout the workshop,
What's our role as we reshape the classroom with the Common Core State Standards?
I share with teachers what today will not be and what today will be. On a parallel universe I share with teachers what I perceive the CCSS to not be and what I perceive the CCSS to be. Then I share a few personal items from this past school year. Seeing that I'm doing a workshop with multiple grade level and content teachers, I'm expressing the focus of the day to be the 8 Mathematical Practices and what we do in the classroom. How do we help facilitate the learning?

Estimation Task #2: 20:50-26:45
We use Day 129 where teachers see that the song length is also the track length. Listen to their reasoning. I love this! Hearing this reasoning from teachers and students is one of the many joys I get from doing these daily estimation tasks. However, I wish I did a better job (23:50) of getting the teachers to justify their reasoning and "argue" a little more than I did. I wish I created a little more tension. Check out (25:00) the excitement of the teachers as they watch the answer.

I introduce the language of creating a task that has a low-entry point and could see that many teachers had no idea what I was referring to. Not their fault. However, I like their reaction when I translate "lower-entry point" to being easier. I wish I explained "low-entry point" better. I wish I had explained it as creating a task where most, if not all students have an equal opportunity to engage with the task, regardless of their mathematical proficiency. I wish I expressed the importance of providing students with a task where math vocabulary and thinking come as a natural result of solving the task.

Math Tools & Two Uses: 26:45-33:55
I ask teachers to glue a picture of a math tool to the front of their Blue Book and write down at least two uses for each tool. They have two minutes to complete this task. After We Will Rock You, I ask the teachers for their uses instead of telling them. This serves two purposes. Yes, I have a list of uses that I anticipate them to come up with, but I want to hear from them first, selfishly providing me with additional uses that I didn't anticipate. Secondly, I'm using this activity to illustrate how students need to provide the answers in the classroom. I wish I could have given this more time in the workshop where the teachers actually used the tools in the manners they suggested. I also should have had the teachers write down all the uses we came up with.

Introduction of 8 Mathematical Practices 33:55-1:04:00
Again, I'm feeling rushed for time! Yes, I said it, "Let me talk about these 8 Math Practices real quick." Real quick? How silly of me. These practices are not something to gloss over. Don't worry, we spend ample time doing a Jigsaw activity so teachers are out finding information about them. I provided the teachers with the handouts found at Jordan School District's site. The practices are presented in a manner representative of the grade level you might teach. Thanks Fawn for this link.  I could have explained and facilitated this a lot better, but the redeeming value is hearing teachers that were appreciative of this specific activity because they were "forced" to explore the practices instead of just receiving a handout with the information embedded. If I were you, I'd skip the section (39:30-52:00) unless you want to hear some of the teachers talking in their groups as they rotate around the room to their four different stations. I'm proud of the rotation table I provided and how teachers travel together according to their "math tool." DON'T miss the "perfect high-five" at 38:10. I love that a teacher commented that "perfect" is subjective. I say this all the time to my students.
At 52:30 I give teachers time to regroup and complete the practices by receiving information from the other teachers in their group. I recap (1:00:00) and then show teachers how to create a pocket (1:01:00) inside their Blue Book so they can store a Quick Reference "teacher" version (I referred to as "adult") of the 8 Mathematical Practices.
I wish I gave more time for reflection. I wish I reviewed each practice with the whole group by having them share out loud something they learned. During the Jigsaw activity, I was told that my time with the teachers was cut short by about ten minutes so I had to hurry things along. Arghh!

Find My Mistake: 1:04:20-1:13:00
I made an executive decision to skip the model lesson I had prepared for the worksop. I'm glad I didn't skip the Find My Mistake segment of the workshop. I'm very adamant about teachers finding the mistake quietly here. I encourage them to share with each other before we review with the whole group. I give props to Michael Pershan for mathmistakes.org. You can hear kids in the hallway, alerting me that our workshop is coming to an end very soon. We listen to each other make corrections or talk about the misconception and why us teachers are good at knowing the content we teach. We're constantly telling students what their mistakes are and telling them how to fix it. Let's switch that role. Make the students find, correct, and tell each other what the mistakes are, especially items that use algorithms. Remember, most of the teachers here are elementary teachers. I also point out that I haven't been jumping for joy every time a teacher gets an answer correct. Instead, I try my best to throw it back on the class for what they think, allowing them to critique the reasoning of others. I love how estimation and number sense is addressed with teachers on how to help encourage students to avoid these mistakes.
I hit a nerve (1:10:45) when I was asked, "What about simplifying?"
I could very well be wrong here, but my current understanding is we (as teachers) are to allow for multiple representations of the correct answer, unless explicitly instructed otherwise. In other words, ten-eighths is just as acceptable as five-fourths.
I wish I reviewed with the teachers the importance of doing an activity like this quietly and individually first, before group discussion. I wish I expressed how much I love group work and collaboration, but need to remember both teachers and students need that quiet time FIRST. The worst is being in a group where one person dominates the conversation and you don't have time to think or worse, problem-solve. I wish I had covered this with the teachers.

Summary: 1:14:15-1:19:00
I provide teachers with a fill-in-the-blank handout to glue to the inside of the back cover. Again, watch their reaction when we get to "low-entry" point. I hope I drive it home when referencing the "Cent-ed Whiffle Ball" task I recently did in Geometry. I remind myself and the teachers to listen to the students. I'm constantly working on allowing students to finish their thoughts. Don't cut students off or finish their sentences for them. I ask teachers to create a couple of goals. I provide the teachers with a list of resources found here. I like how they (at least some of them) want another in-service/workshop.
I wish I emphasized the importance of knowing the 8 Mathematical Practices better and to use the summer to better prepare for next year. I wish I had more time to pump up these points in the summary. I wish I had more time!

Unleash yourself in the comments if you will.

Thanks!
729

More Tangrams Please!

This week in Geometry, we did the 3 Act lesson Hedge Trimmer. I'll debrief about that another time. Students needed to find the area of some isosceles trapezoids along the way and I didn't give them access to the area formula for trapezoids. Instead they needed to be resourceful and figure it out on their own. Well, that didn't go too well at first [cue the whining]. Many students had trouble breaking the trapezoid into 3 polygons: a rectangle and two triangles. Their warm-up the next day was to play around with tangrams for the first 5-10 minutes of class.
Me: Use all seven pieces to make any one of the following polygons. Do your best!
I drew a square, rectangle, trapezoid, parallelogram, triangle, and circle. I'm just kidding about the circle. However, I should have drawn one. That's funny. My 8th grade students were terrible at this. I use "terrible" with all the love in the world, knowing this is a learning experience for them.
Me: Have you guys ever messed around with tangrams?
Class: No!
Me: WHAT!!!! Are you guys serious? No one has ever let you mess around with tangrams before? Well, I'm glad we're doing it now. You guys need this. Seriously? You guys have never messed around with tangrams.
Class: Nope.
Me: Okay, well keep trying. [as I began scraping my jaw off the floor]
My request to you all: MORE TANGRAMS PLEASE!

Especially elementary teachers, more tangrams please. Have your students mess around with them. Sure you can download some app onto your tablet or find a web-based site to simulate tangrams, but please do your best to get actual tangrams into the hands of your students. Math formulas come and go for math students. However, if they can visually break apart polygons into more recognizable polygons such as rectangles and triangles, I believe their mathematical proficiency greatly increases. My goal is to get these 8th graders to play around with Tangrams once a week for the rest of the year. At least one of my students was eventually able to put together a trapezoid (top left), which quickly turned into a parallelogram, which quickly turned into a rectangle.
Me: How'd those other shapes come so quickly?
Sean: I just moved this one larger triangle to different spots.
I took a picture of his first configuration so I could share it with the class. I figured I'd give the class a chance to redeem themselves and copy his rectangle configuration.
More tangrams please! 
Repeat after me:


Thanks for listening.

Tangrams,
1104


BTW: Cheat sheet for displaying student work immediately:

  1. Sign up for Dropbox.
  2. Have the Dropbox app on your phone.
  3. Take picture(s) of student work.
  4. Allow the app to upload your camera photos.
  5. Sync your computer with Dropbox.
  6. The pictures arrive on your computer in seconds.

Wablammo!

Estimation 180

Estimation initiative:
[*UPDATE: www.estimation180.com has gone live]

Last year I willingly started adding an estimation question to my daily warm-up, inspired by Steve Leinwand, Dan Meyer, and a monthly ASB gag we did a few school years back. Everyday, I greet my students at the door and hand them a 3x5 index card for their warm-up. They get the first 2-3 minutes of class to complete the warm-up exercise and estimation question. The first question reviews the previous day's skill. As for the estimation question, last year I was putting questions that were comparable to fun facts and students had no context clues for making logical estimates. It got silly. Here are some examples:
  • How many miles is the California coastline?
  • How long does an elephant stay pregnant?
  • How many In-n-Out Burger restaurants are there?
  • How many miles from the Earth to the Sun?
  • etc.
Stepping back over the summer and really fine-tuning the goal of estimation (improving number sense), I began using estimation questions that were more relative and provided better context clues. Every chance I get, I use a picture or something inside my classroom that will allow students to make logical estimates. Here's today's (Day 10):

I've had to cover up the bottom half of the screen now because students come in and immediately want to go for the estimation question. They want to come up to the screen and do weird measurements, or ask me factual questions, and they flat out forget about the first question. I don't blame them. It's fun. Once we go over the first question (favorite yes/no), I usually have students give me estimates that are too low or too high and then we "go right at it." "Who thinks they got this?"
Once I get about 8-10 estimates, I reveal the answer and it's so cool to see how the students react. "Ohhhh, I was sooo close." Or "I was way off!" Either way, I ask the student or students who were close to explain their logic. It's fascinating how kids think.
For today's, I snapped a picture of a measuring cup full of almonds (my new favorite snack). Tomorrow, they'll estimate how many are in the jar from CostCo. Estimation should build. The whole first week we talked about height, based off my height. 
Day 1: What is Mr. Stadel's height? They don't need a picture for that.
Day 2: What is Mrs. Stadel's height? They needed a picture for that. 
Day 3: What is my son's height? Another picture.
Day 4: What's the height of a lamppost Mr. Stadel is standing near? etc.
The first four days used my height as a frame of reference. Check out Estimation 180 (Google doc will be replaced with estimation180.com )and you'll see what I mean. My estimation initiative is to begin documenting my 180 days of estimation, simply titled Estimation 180. Seriously, do I need one more thing on my plate right now? No. However, I do this every day and would love to share this stuff and receive feedback. Estimation is important to me. I've already seen student improvement with number sense in just 10 days of school.  
I'm starting small here, but would love to expand this idea: stay tuned. In the meantime, check out the spreadsheet catalog (tab at the top).
[UPDATE: estimation180.com is live. Forget the spreadsheet!]

Number sense,
1056

Estimation is Key

First Day of summer school.
This morning, I snapped a picture of a portion of our school parking lot. My intention: use it as the daily estimation question included in the warm-up.
Q: How many total parking spaces are in the parking lot?

We did our warm-up. I first asked for numbers that were too low and didn't make sense. Then too high. Finally, I asked for their estimates, but didn't validate any responses. We then jumped into our lesson for the day: ESTIMATION.
Opening the lesson, I asked my students to think of one good thing and one bad thing about estimation. Here's what they listed.

Good:
  • Doesn't have to be correct
  • It's easy
  • Can be made mentally
  • It's an educated guess
  • "It's free! It doesn't cost you anything." (Oh, I added that one)
Bad:
  • Not precise
  • Could be wrong
After comparing the pros and cons, the good guys won! Estimation FTW!
Why?
It gives anyone a chance to cast an answer based upon specific information. It's a starting point. It keeps your number sense in check. It allows the brain to think abstractly for a brief moment. It's free!

We went outside and delegated the work. Students counted staff, reserved, preschool, handicap, and ordinary (unlabeled) spots. We got a total of 141 parking spaces. One kid was two away with 143 as his estimate. Go figure. Another kid was in the five hundreds. Go figure. After the empirical data produces the answer, we always circle back to our original estimates. It's important for students to see the difference so they can improve their number sense and estimation skills for next time.

Tomorrow, we extend the lesson: convert those itemized numbers into percentages in order to make a pie chart of the allocation of parking spaces.

Check it: Steve Leinwand Case 4: Number Sense
He hits some great points at 2:25. It's worth watching the whole thing in my opinion.
Steve exclaims about estimation, "We need to build that into ALL the things that we do!"


Think how many times a day we estimate:
Time to get ready in the morning. Time to get to work. How long is this darn red light? How long before I get my cup of coffee? How many? How many? How many?

Please share with me!
What can I do to make estimation better with my students?
How do you use estimation effectively?
How do your students benefit from it? (or not)
What are some other daily estimations you make?

Estimate,
1128

2012 Math Olympics

Last week was the first week back from Spring Break. Over the break, I took the feedback from the Survey your Students (earlier post) I gave and wanted to finish the school year in a different manner. I chose a class theme (which I'm not sure I've done before) to be the 2012 Math Olympics. I needed a fun way to spend the last 5 academic weeks with my 8th graders. I went to Target and the Dollar Store and found a few goldmine items for weekly events and "Gold medal" winners.

Last week's event, Jai Alai 
I wanted to both professionally and personally challenge myself to make improvements in the following areas:

Group & Discussion Based Learning:
I had to change the desk arrangement in my classroom. As you can see from the picture above, students are facing each other now instead of the interactive board. I did minimal direct instruction this week.
It was fantastic!
I wanted the groups to figure out and discuss examples before telling them how to answer, solve, or approach the examples. Kids are smart!
The students were put into homogeneous groups, having a range of mathamatical abilities. On Monday, they met their teammates, nominated a team captain, and picked a country from the list of participating countries in the 2012 Summer games. USA was not an option!
It took a couple of days for the students to warm-up to the discussion based learning, but by Thursday, they had made great strides (remember to praise them on Monday for this!)

Different Classroom Management Skills:
We take our 8th graders to Washington D.C. at the end of May. Therefore, the students have one giant foot out the door by this time of year. This past week, I saw a greater level of engagement and less need to remind students about learning. I have found myself in previous years sternly reminding them,
"It's imperative that you guys learn this if you're interested in getting into Geometry as a freshman."

The only thing I had to remind my students of this week was for their captain to report their good-will points to me before leaving. Good-will points are earned for displays of good sportsmanship in class by staying on task, helping another group, or scoring a point in Jai Alai. I kept track of good-will points on these cheap chalkboards I found at Target:


To earn Good-will points (and to avoid foul play) in Jai Alai, one team had to successfully pass the ball to another team so both teams received points. It was awesome to see them cheer each other on instead of making fun.

Warm-ups:
I found a highly successful warm-up activity this year that was based on assessing individual skills, called my favorite yes/no (video found here).

However, with the students in groups (countries), I transitioned my two-minute warm-up into a group task. I not only had great discussions going on, but kids were submitting their cards cheering for their country, writing...
"Go Fiji! Germany rocks! Go Tunisia!"
I loved that they took ownership of both their learning and their adopted country for the Math Olympics! (again, remember to praise them for this on Monday!)

Student Estimation and Prediction:
The daily two-minute warm-up also includes a question requiring estimation to answer it. Past examples include:
What year was the first cell phone call made?
How many In-n-Out Burgers are in California?
How many miles is the California coastline?
How many miles is it around the earth's equator?
Discussion following these questions has been quite valuable. They find the validity in guessing too low and too high and enjoy sharing the actual answers with family or friends throughout the day. I assigned homework on Monday for them to look up two fun facts about their country. I will use the facts they submitted throughout the next 4 weeks. I believe this will pay dividends... we'll see.

Incentive Based Learning:
I tread lightly in this arena. I have never been a big fan of handing out candy or giving small trophy awards for something I believe learning is, intrinsic. However, the second you toss candy in front of a middle schooler, it feels like the equivalent of feeding the dolphins at Sea World after performing a trick. My school banned the distribution of candy and I'm totally good with it. Let's be realistic though, every once in awhile, kids enjoy some type of reward, even if it's silly. They are kids after all.
On Monday, I will be awarding my Gold medal winners with glow bracelets I found at the dollar store. In order to win glow bracelets for your country, your group must have the highest exam average from the previous week. We learned parabolas this week, and I've seen some of the best understanding ever, which translated to great scores as well!

Lastly, our event for next week is Archery. I have a student-made target at the back of my room. After successfully answering questions, students will aim a giant foam rocket at the target to earn good-will points for their country next week. London 2012!!!

Best,
312