Showing posts with label Math. Show all posts
Showing posts with label Math. Show all posts

Wednesday, June 3, 2015

Addition and Subtraction Strategies Math Huddle (Bansho) Lesson

We have been doing a WHOLE lot of adding and subtracting in my class these days! Whew. Here is a look at some of the things we have been doing. (This post is very picture heavy.)

Addition and Subtraction Anchor charts.







Addition and Subtraction Math Huddles



We started with these 2 questions, the first was designed to get the students thinking about regrouping and the second was a typical addition word problem. 

My math huddles are set up so that the students have a minds on (Getting Started) type question that we discuss together. Then we share the lesson problem and often discuss possible strategies together. 

Then I send them out to work on it...usually in pairs or groups. 




I post up most of my student's own work and use that as the teaching point for discussions. 


If there are any gaps then I fill in with what I want the students to learn. 








I often recopy my student's examples so it is a little easier for everyone to read and on the day after the "Working on It" we revisit the learning and annotate the learning. **This can also happen right on the day of working provided that students are able to reach the solutions to the problems within the class time. **


Once we started to feel good with the addition strategies we moved on to subtraction, and the lesson cycle repeats again. 


Getting Started



Lesson Problem


Working On It- this was added underneath the addition examples from our earlier lessons







Finally, anchor charts of big ideas are created or shared. I actually used the annotations on each strategy as the big ideas for this math huddle and then posted these anchor charts that I found online at the Jordan School District. 



And now we practice!! Even though the majority of my Grade 3 students are proficient using the traditional regrouping algorithm for 3-digit addition and subtraction I have insisted that they practice all 5 strategies we studied. It's amazing how many of them have memorized the steps but are unable to communicate their knowledge of place value by using a variety of strategies. The work continues!!

Friday, May 29, 2015

Using a T-chart to Solve Patterns- Math Huddle

I'm loving Math Huddles these days...things have gotten a little too busy for Math Workshop, and I am sad about that. I hope to get back to it soon. But in the meantime, Math Stretches and Math Huddle marches on!

My class has been working on patterning- creating, extending, describing etc. Since it is a testing year in Grade 3, we are also working on using a T-chart to solve patterns since one of these questions seems to always end up on the test. Plus, it's a great strategy for the kids to have in their toolbox. 






Here's the kids' work samples...I love the t-chart and the picture on this one.




This group extended their t-chart waaaaaaay past what was asked in the question, which was okay because it lead to a discussion of reasonable answers. 


This group started by drawing flowers, and when I asked them why they had no idea...so we re-visited the question and that's when they realized the question was about a fence not flowers! Hmmm?



Happy Mathing!

Wednesday, October 22, 2014

Skip Counting Task Cards- A New Product!


This year I have Guided Math fully up and running in my class and I must say that I am loving it. In the past I tried to jump in too fast and then it all fell apart but not this year, we have been going slow. Mixing in whole class lessons, math journal work, and the three-part lesson.

Right now we are working on skip counting and data management...I like to do two strands of math at the same time. It helps the students connect patterns between the types of math.
But anyway...I offered a skip counting freebie last week as part of the Halloween Blog Hop I participated in and now I have the full product for you.


I think if you liked the freebie than you are going to LOVE these skip counting task cards.


This pack contains 65 task cards that can be used in a variety of ways in your math class.
I plan to use them as Must Do's during my Guided Math rotations and for assessment during Math Conferences.


I have included a recording sheet so your students can track the numbers they are counting with and begin to see patterns in their skip counting.


Communication in math is one of my favourite things to teach so I have also created 2 different reflection sheets that students can use to help explain their understanding and thinking about skip counting. 



I hope you find these useful in your class.
If there is a number that your curriculum dictates that you teach for skip counting and it's not included in the package, please email me and we can see if we can work something out!


Monday, September 22, 2014

Using a Math Huddle to Teach Workshop Skills

If you have been following me for awhile now and reading my posts you already know all about my love for the three-part lesson and math huddles.

Love them!

This year as we are starting up our Math Workshop I decided to try something new and use the same Math Huddle framework to teach a concept that will be the cornerstone of our Math Workshop program....Math Talk!


Here is a picture of the finished Math Huddle board. It's such a nice clean way to organize the student work and create an interactive anchor chart.


This was my class' first experience with a Math Huddle and they did a bang up job (if I do say so myself!). We had been slowing moving through the parts of our Math Workshop and talking a lot about the expectations for each area. 

As the Minds On for this Math Huddle I simply displayed the poster for the Helping Others component of our Math Workshop and had the students turn and talk about what we would be doing during this time. 

Then I posted a simple problem that I thought the students could handle but would still need to take some time to really think about. I also wanted an open-routed problem so that my students would be able to use a variety of strategies to solve it.

BUT here is the most important part....it doesn't really matter what type of problem you use, or if you even talk about the problem, which I didn't. 
The focus of this Math Huddle was actually the math talk that would be happening during the problem solving stage. 


You can see here that I posted all my students' work up on the board but we never actually looked at it. Normally during a Math Huddle I would have students present their work, discuss their strategies and make anecdotal notes on the board to help other students stretch their thinking. 


This time, however, we focused on Math Talk. I posted this anchor chart in the Key Ideas and Highlights section. We had previously completed the section that has the question- "What is good math talk?" but had not yet done the chart at the bottom.
After the students complete their first Math Huddle we discussed their feelings and what they thought of the experience. 
Then we created this Looks Like/ Sounds Like/ Feels Like chart together.

My favourite part...Students loving math!
Sigh.

How do you promote good math talk in your class?

Thursday, July 24, 2014

Chapter 9- Guided Math- Putting It Into Practice


We made it!
I am so happy about the learning and re-learning I've done over the course of this book study and want to thank all of you for joining me on this journey.

It's not over yet... of, course we all need to go back to school and like the chapter says "put it into practice". 

I'm looking forward to many posts to come, here on my blog and on yours to see how people adapt and modify the Guided Math framework to fit their teaching style and the learning styles of their students.

Some things that stood out for me during this chapter were:

* the list of "look fors" on page 246 that describe students who are learning mathematics. 

I'd like to make this into a lesson or anchor chart...or something!

* the questions on page 247 for teachers of mathematics to consider

This is a great place to start your planning for sure!


Well, isn't that a loaded question!

Since I technically started implementing the Guided Math framework in my class two years ago this isn't really the beginning for me, but it is a new start.

So what are my goals?




Background papers from:




So it looks like I've got some work to do!

And I'll be back to post my progress on these goals and to update you on my Math Workshop series.

Thanks for joining in on this great book study.








Thursday, July 17, 2014

Chapter 8- Assessment in Guided Math


Another chapter that I didn't post on the first time around! Fun!



I am amazed at how comfortable I have become with assessment in the last few years. I'm not sure if it has to do with the principal I was working for a few years ago or the fact that I now have about ten years of teaching under my belt but I know that I feel confident using anecdotals and observations for assessment where I didn't in the past. 

I love the analogy that Laney Sammons makes on page 227 to the inuksuit in the tundra...assessment as a guide post!
Amazing.

She states "without this guidance [of assessment], the effectiveness of instruction is lost."
Wow.

Some other quotes that stood out for me are:

"When this evidence of student learning [meaning the gathering of data done my teachers- formally or informally] is used to develop teaching practices and enhance learning, assessment is being performed." (page 228)

"Teachers plan, teach, assess learning, and then adjust their instruction. Eventually teachers may even be able to assess and adjust as they teach." (page 229)

This is where I feel I am... sometimes!
And when it happens isn't it a great feeling?

"Students improve their performances and increase their learning when they know precisely what they have done well and exactly what they need to do to improve, and then are given opportunities to do so." (page 229)

I have totally seen this in my own class as there as been such a big push for using success criteria is every subject over the past few years. Co-creating the success criteria, keeping it posted and having students self assess has changed the way students view their own grades.

Something I want to improve is my descriptive feedback and my use of checklists to inform parents of their child's progress on a more regular basis.

On page 234, Sammons writes about using checklists for assessment, something I have grown to really like. She states that "[a]fter the checklist has been completed for a piece of student work, the student is then given an opportunity to revise his or her work so that it meets the criteria."

Yes.
Yes.
Yes.

I LOVE the criteria for problem solving rubric that is shared on pages 236-237 and will definitely be using that in my class this year!

A goal for me this coming year is to involve my students as much as possible in the assessment process and have them self-assess and set goals. This isn't something I've been very good at in the past and I really want to improve in this area.





I try to use lots of different kinds of assessment in my class and in the past years I have found myself using formative assessment quite a lot (yeah me!) as well as anecdotal observations and conferences/interviews.

Here are some posts I've done in the past on assessment:

Talking Pictures- love this for formative/diagnostic assessment
Glow and Grow- a strategy I learned at a workshop and then was expanded on by the amazing Jen from Runde's Room!

(it is actually only one post! LOL...looks like I need to finish that up! OOPS)

Well, it looks like we are almost done our time together for this book study...one more chapter to go.
But don't forget about the Guided Math Conferences Book Study that has started.


Thursday, July 10, 2014

Chapter 7- Conferring with Students





How awesome is it that this chapter of Guided Math happened to fall right after the start of the Guided Math Conferences Book Study?!

If you are loving Guided Math (and how could you not?) then you should click here to check out my post on Guided Math Conferences, another fabulous book by Laney Sammons.
Brenda from Primary Inspired is hosting a book study on this book and it just started! 


You totally have time to jump on board!

So I do have my original thoughts on this chapter and once again you can find them below in pink and italics. 


Chapter 7 is all about conferring with students about their math understanding. The teacher is able to learn about the students, their work, what they may be struggling with, and the next steps in learning. 

I loved when Sammon's wrote that "conferring is the heart and soul of teaching" (page 207). 

What an amazing statement, and so true. 

When we conference with our students, in any subject we sit alongside them, talk to them, listen to them and learn about them. 

How wonderful. 

Sammons also points out that conferring makes our instruction "more focused and powerful" (page 207).



Talking with my students about math is one of my absolute favourite parts of math workshop. 
I often talk with my students as I move through the classroom and they are working, which I guess is a math conference!

During a math huddle I encourage a lot of math talk which I find is a great way to learn more about their math thinking, however
many students are only familiar with being questioned about their thinking when they are wrong, not when they are right

I think it's important to ask students questions during both situations, when they are wrong to help clarify their thinking and guide them towards understanding the concept being studied and when they are right to help them expand their knowledge and their ability to communicate their thinking. 

In order to help students gain a comfort level with this it needs to be a stated expectation from the beginning of the year. 
I talk to my students about why I will be asking them questions
- no matter if they are right or wrong- 
because it helps me to understand more about their thinking, it will help them to communicate clearly to their peers, and it will help their classmates to hear math talk from someone who understands the concept we are studying. 

As the year progresses and students are questioned frequently they begin to expect it and look forward to answering in order to communicate their thinking.


Management Issues
- think and plan about how your students will be involved in independent work so you have time to confer with students (think- Math Workshop meets the Daily 5)

- you will not be able to consistently monitor the work of other students in the room during Math Workshop as you will be busy conducting conferences

- plan for what will happen 
when students need help and they can't ask you

*This is a goal for me...I really want to have a solid routine in place so students can help themselves and each other.*

- it is essential that students become independent and self-sufficient in order to avoid "learned helplessness" and build endurance for problem solving

*This is such an important piece...in all subjects!!*

- plan for students who 
1) have trouble starting a task, 
2) staying on task, 
3) always move around the room, 
4) finish quickly with no thought to the quality of their work

- take a moment to watch the room before you start your conferences, move across the room instead of student to student beside each other

- follow up on conferences frequently




The Structure of a Conference

- teachers ask questions in order to see what the students are thinking, understanding and wondering

- main structure of a conference includes:




1) research
2) decide
3) teach
4) link




 I love how Sammons writes that "the goal of a conference is to move a student from what he or she can almost independently to what he or she can do independently" (page 213). 
The research stage is crucial here so that we go into a conference prepared with the knowledge we need to help our students. 

It is important to remember that we can review our previous anecdotal observations as part of the research process as well as asking a student a general question that allows them to start explaining their thinking. 

* I am currently revamping my 
system for keeping anecdotal records. 
If anyone has a good system, I'd love to hear about it. *



Once we have done the necessary research it is time to decide what is needed to help our students. How can we support our students' growth? Sammons outlines that we, as teachers, have three responsibilities during this phase:


1) talk about what students are doing well
2) choose what we can teach to move students forward
3) focus on how to best use the time left in our conference


I really noticed how often it was mentioned that teachers should focus on talking about what students are doing right from the start in order to help them feel comfortable during the conference and to help give them the confidence needed to learn from the teach segment of the conference.


Teaching anything during a conference will be brief and teachers need to know their STUFF! 


Sammons writes that teachers usually use one of the folioing teaching strategies during this stage of a conference: guided practice, demonstration, explain and show an example.


Lastly, end the conference with a link to the future. Remind students about what they are doing well, what they have learned during the conference and to try to use their new knowledge next time they are solving a similar problem. 

As mentioned before, Sammons talks about keeping records for the conferences at the 
end of the chapter and the importance of this practice. 

So my question is....how do you keep records during your math conferences/workshop/lessons etc?


Check out some more great posts about this chapter.




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