Wednesday, March 27, 2013

Pass the Power

At the beginning of the year, our Superintendent Bret Champion, charged the Leander ISD staff with "Passing the Cape."

He actually took his cape off and passed it to a student! This powerful passing of the cape symbolizes how we as educators need to give students the ownership in their learning.

I was reminded of this powerful speech at an RTI Math Symposium at the University of Texas with Barbara Dougherty and Karen Karp. Both professors are NCTM Board Members and certified teachers of Elementary Mathematics, Secondary Mathematics and Special Education. Throughout the day, these ladies emphasized the importance of having students communicate their own math learning. They talked about "Passing the Power" in the math classroom by using a simple tool:




Here is how you "Pass the Power":
1. Teacher selects a student to share mathematical thinking.
2. The teacher exchanges the "Power" (in this case it's a pen) by handing it over to the student.
3. The teacher sits down in the student's seat and becomes part of the class.
4. The student has the opportunity to share their thinking.
*5. Remember, the teacher should not say much of anything and let the student talk, ask and answer questions of the class!

*Note: Step 5 is the most important.

Remember, the person doing the talking is the one doing the learning! Next time you ask students to share their mathematical thinking, try this technique. Comment below and let us know how it goes!


Wednesday, February 27, 2013

Guest Blog: Number Talks in a 3rd Grade Classroom

Magen Schott, 3rd grade teacher at Knowles Elementary, is our guest blogger this week! She has been using number talks with her students, so we asked her if she would share her thoughts on the topic. Thank you Magen, for sharing your learning and inspiring others through your experiences.

"Since beginning Number Talks in my classroom, my kids are able to have great conversations about their mental computations. It's easy to have a conversation in Language Arts class about the main idea of the book, the author's purpose, etc.  Before reading Number Talks, we never had REAL conversations in Math about numbers.  It has been amazing to listen to my kids discuss numbers in this way.  Students have learned to reason with numbers, and their mental math ability has greatly increased.  Our classroom is a "safe" place for the kids to be wrong, and they are open to admitting their mistakes.  They all learn from each other, and most have begun to try out and adopt different strategies that others are using.  I feel that they think about numbers differently now-- that numbers can be taken apart and combined with other numbers to make new numbers.  They have great conversations about manipulating numbers to make the problem easier and organizing numbers into groups of thousands, hundreds, tens and ones."


Below is a impromptu video recorded during a recent school improvement visit.  Watch Magen's class in action!



Comment below how you use number talks in your classroom...



Monday, February 18, 2013

4 Tips for Math Manipulative Storage

Need some ideas for how to organize your math manipulatives? Here are 4 quick tips to get you started:

Tip 1: Label, Label, Label!
Label all of your manipulatives! This helps students clearly see what and where the item belongs. Simply put the name and picture of the manipulative on the outside of the tub or under the spot the shelf.

Here is how Math Teacher Leader, Amber Danhauser, 2nd grade teacher at Plain Elementary, labels her tubs of manipulatives.

Tip 2: Have a Manipulative Hospital
No matter how organized your classroom systems seem to be, it never fails that items break or little pieces cannot find their way back to where they belong. Make sure that you have a "Manipulative Hospital" for those misplaced and broken pieces. When pieces are found, they can be placed into this tub to be organized and replaced at a later time.


Tip 3. Let the manipulative fit the problem
Okay, this may sound basic, but it is important. Ask yourself, "What is the mathematical purpose of the manipulatives you want your students to use? What mathematical understanding am I building with these models?" Often times, students are required to use their base-ten blocks to solve a problem, but they have no idea how those blocks represent the base-ten system. The manipulative is not a math strategy, but it is something students can use to model their mathematical thinking. When you and your students are clear on the purpose, then you can decide if it should be pulled out for daily use or for a special problem.


Tip 4: Place manipulatives in a spot so they are readily available for student use
Math manipulatives help build conceptual understanding of mathematical concepts. They should be encouraged, although not forced, to be used regularly. Therefore, manipulatives should be placed in an area that is easy to access. This could be on shelves in the math area of the room, a cabinet that is designated for math, etc. Whereever this spot is located, ask yourself, "How quickly and efficiently can your students get their math materials and begin working?" Visualize your students. Are they bumping into each other, are they all grabbing frrom the same place? Plan your system so that these types of errors don't eat up precious instruction time.

How do you organize your math manipulatives? Comment below with your tips/ideas!


Wednesday, February 6, 2013

Guest Blog: Transforming Math Instruction

Rayla Rucker, a dedicated 4th grade teacher at Pleasant Hill Elementary, recently wrote a guest blog on Transforming Math Homework. Parents, educators and students throughout our district were positively impacted by this post. Rayla has agreed to write another post about her journey as she continues to transform her math instruction. Thank you, Rayla, for offering us your insights and expertise as you commit to problem solving every day!


"Mrs. Rucker, can you give us that in a word problem so we know how to solve it?” EL, 4th grader

Sometimes you never know when or if you’ll have a breakthrough, and sometimes the evidence comes in a simple question from one of your students.

This year I decided to make a change in math.  Problem solving every single day. I was skeptical. I didn’t know how I would “fit that in”.  All I could see was the hundreds of millions of skills I am supposed to teach my class of twenty-four 4th graders in a period of 9 months, more or less.  Oh, and also throw in those awesome Number Talks every day!  And Estimation! And Vocabulary! And on and on and on...

It is quite daunting when you look at every single thing you want to do for your kiddos.

The first valuable A-Ha moment for me was realizing that the skills and the problem solving weren’t two separate things in most cases.  Duh?  Right?  A little slow on the uptake sometimes...So, I thought, at the very least, I could tailor my student’s learning around those skills contextualized into word problems, the more real world the better.

And that’s what I have done.  Every single day we do problem solving...Every. Single. Day.

Believe it or not, my kids actually look forward to it.  I find that they are becoming very adept at knowing which operations and in what order they should use them.  I don’t use HIDE or any form of problem solving Must Do’s.  We start on Monday with a brand new skill.  We unpack the problem and show/share our strategies.  Every day during the week, we use a similar, but increasingly higher level, multi-step(ier) problem.  And on Friday, we have an assessment on that problem type.

Not saying this structure will work for everyone, but it works well for us.  

More recently, I have been tailoring the problems around the Number Talk strategies.  So, those two aspects of my math workshop have melded together quite nicely.  I also use problem samples from the units of study.

Here are some things I have learned from this grand experiment.

1.  Change is super hard.  

We know what has worked for us in the past, but sometimes what works for us is not what works for our students.  Deciding to change is easy for me, that’s the type of person I am, but that doesn’t mean it has been a piece of cake.  In the beginning, I felt as though these changes were not working and wanted to give it up, but I stuck with it.  


2.  It gets easier.  

My class is in a groove with problem solving.  It has become second nature, and they actually smile and get all giddy when they know that’s what we are about to do. If I’m being honest 95% are giddy....I still have about 5% that can’t stand it...but we’re working on it!

3.  You will see success.

First and foremost, I have students who are excelling that never thought they were good at math.  It makes them feel so good about themselves, and that makes me very happy!  Secondly, and not nearly as important, I spoke with some other teachers that are problem solving every day.  Everyone I spoke with had more success on the problem solving on their 18 week benchmark than ever before!  Oh, and don’t forget... When I give a naked number problem, they ask for it in a real life situation!  That is the greatest success, isn’t it?

4. Our students will have to be problem solvers for the rest of their lives.  

We really do owe it to them to give them as much experience in this area as we can.  It really isn’t just about math, it’s about thinking, and creating thinkers is what this business of teaching is all about.

So, if you aren’t problem solving every day, I challenge you to give it a try.  I committed to it, and it has made all the difference.


Wednesday, January 30, 2013

The Challenge of Change . . .


I recently had an "ah ha" moment in a meeting as we were debriefing a powerful TED Talk by Diana Laufenberg. There is no doubt that teaching is one of the most challenging professions.  Even over the last 15 years, teaching has become much more demanding of our classroom teachers.  It makes me wonder if we as educators are putting more stress on ourselves because it's easier to do things the way we have always done them verses embracing change!

Our society has changed drastically over the years due to technology and the way that we can readily access information. But . . .  when you think about it, "school" really has not changed much from when our own parents attended.   

Take a minute to watch this TED Talk and think about how can we allow students to fail and empower their voice.



We are fortunate that Diana Laufenberg will be part of this year's Leander ISD Continuous Improvement Conference.  I look forward to learning more from her and seeing you all at our 20th annual conference!  






Thursday, January 24, 2013

Counting Collections and Giveaway!

Although counting is one of the best ways to help children develop number sense and other important mathematical ideas, we do not do enough of it in elementary schools.

Why should I do counting collections?
Children need many and varied experiences with counting to learn which numbers come next, how this number sequence is related to the objects in front of them, how to keep track of which ones have been counted and which still need to be counted (Fuson 1988).

How do I begin?
It is as easy as placing a large pile of items on the tables and without any further instruction ask the students to begin counting their items!

Once you decide to make counting collections a regular routine in your classroom you will need to start collecting baggies of "stuff." Beans, pom-poms, buttons, cotton balls, rocks.... the sky is the limit!  A walk through a craft store will spark lots of ideas. Parents can donate collections are well. Make sure you have collections of different sizes to meet the students' different needs. You will need a method for the students to record their thinking. Math journals work great!

What does the teacher do as the students are working?
As students work in partners, the teacher is observing, taking anecdotal notes, asking reflective questions, and selecting students to share with the whole group.

Why do the students record their counts?
Most students will begin counting one by one with no strategy for grouping the items. Once the some time has passed, interrupt their counting and ask them a question and then tell them to continue counting. Many students will forget where they were and have to start all over! This is a perfect time to discuss strategies for grouping items and how they will record their counting in their journals.

What does Counting Collections look like in Kindergarten?


Counting Collections: Kindergarten - a common core classroom friendly exercise from Luna Productions on Vimeo.

What does Counting Collections look like in the older grades?


Counting Collections: Third Grade - a common core classroom friendly exercise from Luna Productions on Vimeo.

Are Counting Collections part of your math instruction?
Try backwards Counting Collections; You give the number and they make the collection!

Counting is fundamental to so many things we do in mathematics.  
Build their COUNTING POWER!!

To learn more read this article:
Counting Collections by Julie Kern Schwerdtfeger and Angela Chan in Teaching Children Mathematics / March 2007

For Leander ISD employees: To be eligible to win this amazing Counting Collections Starter Kit, add a comment below on how you would use this in your classroom. We will put all entries into the randomizer on Tuesday, January 29, 2013 @ 4 p.m.

We have a winner!  Heather Moseley from Bagdad Elementary - Congratulations. We hope you enjoy this amazing Counting Collections Starter Kit.  The contest is now over, but we hope everyone keeps on "counting!" 


Tuesday, January 8, 2013

Birds On A "Number" Line



What do you see?  

Call me crazy or math nerdy but I see a number line!

The traditional number line is a picture of a straight line on which every point is assumed to correspond to a real number and every real number to a point.

In contrast to a traditional number line, an "open" number line is just an empty line that can be used to record children's addition and subtraction strategies. Only the numbers children use are recorded and the addition or subtraction is recorded as leaps or jumps.

Here are some examples of open number lines:


This example shows a student using incremental strategies. This means adding up in "chunks" or increments. One benefit is the students decide the "chunks" depending on the number choices.


This example shows a student using compensation. This means they add or subtract to adjust a number to make it friendly, solve the problem, and then readjust to find the solution.
This example shows a student a counting up for a subtraction problem. Look at the place value the student uses to compose and decompose the numbers.

Aren't open number lines awesome?  What a great way to model thinking!

So how do the birds on a line remind me of a number line? The birds just alway seem to be evenly spaced on the line so it just got me thinking about number lines!

Here is a problem to ask your students:
Name points A, B, C and D on the number line.  Justify your solution.



The next time you see birds just hanging out on the lines, I dare you not to think of a number line!




Can you think of any other real-life objects that remind you of number lines?