What Comes Next?

   
Discuss with students what a grapple is-struggling, persevering, asking questions, and helping each other without being spoon fed the answer (finding the answer on their own with guidance). Note their ideas on an anchor chart. (I'm big on anchor charts because it shows what we have been discussing in student language.)

Students might have some idea of how to solve it but it will be a little more challenging than students are used to. They should know enough to start the problem but they have to figure out the rest of it without being taught the concept, first. If it is too challenging for a particular student, then you as a teacher should give a clue or a hint for their continuation of the problem. The teacher is able to go around and observe what students all ready know and what you need to teach in the focus part (main part) of the lesson. Teacher analyzes strengths and gaps in student knowledge. This is the best part!! Similar to a Science Talk!!


Now that your math norm anchor chart is complete (see previous post) you are ready to choose a math grapple. Math grapple problems are usually open ended. I usually like to use a grapple about the math topic I am currently teaching or one that I will soon be teaching to my class. When I first began grappling I found many great ones on TPT (teacherspayteachers.com).


To begin with, I type the grapple onto address labels for students to easily stick inside of a math journal. When students begin math class they have a label on their table. They get their math journal out and stick it in. Students immediately start grappling with the problem, independently, for 2 minutes. (Great time to refer to math norms 1, 2, 4, and 5, if you use my math norms) After the 2 minutes are up, students then grapple with their table group, for another 2 minutes. (Another great time to refer to math norms 3 (if you use my math norms) After students have been given time to complete their grapples it is now time to discuss what they found and what they struggled with. This is a time where teacher is writing up student ideas on the board and helping mop up misconceptions from the problem. 


Example 3rd grade grapple-


Jenny puts stickers in an album. She puts 4 rows of stickers on each page. There are ____ stickers in each row. How many stickers are on each page? Think of at least 2 solutions to this problem


As you can see it really becomes fun and the students enjoy it as a way to discuss their findings and their struggles with their group. Of course it will not be perfect. There will be students that sit there with this "can't do" attitude. I will discuss this in a later post. "How do I motivate the unmotivated student?" "How do I build stamina in my unmotivated student?" 


Growing a Mathematical Mind through Model Drawing

First, we MODEL, MODEL, and MODEL some more. I tell students that this is a time to play with model drawing. We do many of these problems together before I give them their own problem to complete.



Side-Note: Model Drawing!


One thing that I have been doing in my class, the last three years, is model drawing. This year I have been determined to do model drawing at least 3-4 times a week, right before I start my regular math lesson. I have seen a growth in my students ability to problem solve, work together, and to show stamina. I have been so proud of my students. I am so confident that my students will do better on their end of year test than my students normally do. I'm actually excited for once to have my students take the end of year test. HA HA!!


First, we MODEL, MODEL, and MODEL some more. I tell students that this is a time to play with model drawing. We do many of these problems together before I give them their own problem to complete.

After this MODEL, MODEL, MODEL time then I give each student a problem to solve. (The problem is dependent on what students have learned and what we are learning at the time). Students will glue their model drawing problem into their math journals. They begin to work on their problem independently by themselves for a few minutes. After the minutes are up they share their problem with their group for an additional few minutes. After the group time is up I direct students to the front board where I  or I have chosen a student to direct students through the model drawing steps. We have been doing this all year at this point, so students know exactly what to do. After you get used to doing this with your students you will be able to let go of the reigns and let them be teacher. My students love this!

Where do I get my model drawing problems? Check this resource out! These are available for grades 1,2, 3, 4, 5, and 6. They also come with an answer key. This is extremely important to have as a resource. It shows you how to solve the different types of problems from addition, subtraction, multiplication, division, fractions, and so forth. So if you are not familiar with model drawing you will want the answer key. http://www.amazon.com/Word-Problems-Model-Drawing-Practice/dp/1934026514
Image result for singapore math model drawing books




I also have this poster hanging in my room. My students also have a smaller version which is glued into their math journals. 

Growing Math Minds Begins with Math Norms!

Growing Math Minds Begins with Math Norms!


     Based upon this fabulous website I came across, my class has compiled a list of math norms for my classroom. Creating math norms for your students helps build ownership for student's own learning. 

http://www.youcubed.org/wp-content/uploads/Positive-Classroom-Norms2.pdf

Math Norms 

I CAN DO HARD THINGS-I can learn math to the highest levels, with hard work.


1. Struggle and make mistakes. Mistakes grow the brain!

2. Ask questions. why does that make sense?

3. Discuss my patterns and solutions with others. Understand why others came 
to their patterns and solutions.

4. Think slowly and deeply. Depth is much more important than speed.

5. Show stamina! Do hard things for long periods of time. Take short breaks so I don't give up. 


BELIEVE IN YOURSELF!

     You may decide to create a different list based on your own classroom dynamics. Having students input is important when creating your math norms. After your class has created their own class math norms don't forget to refer back to these norms on a daily basis. Don't let it be the poster that gets forgotten about. Math will be much more successful for your students if they become very very familiar with this poster.

Growing Math Minds



 
 Growing math minds is a blog dedicated to creating students that have a math mindset. What does having a math mindset mean? Stamina, effort, perseverance, are all part of a math mindset.  I consider math as a way of thinking. A way of thinking in terms of fluency. Hmmm... so when I think of fluency, I think of reading. When you are a fluent reader there are several specifics that you have grasped. Fluency in reading is the ability to read a text accurately, quickly, and with expression. So how does this relate to math? Many people think fluency in math is knowing your addition, subtraction, multiplication, or division facts accurately and quickly without using your fingers.
     I think of math fluency as a complete understanding of underlying concepts to forward our mathematical learning. Fluency is a progression of learning and sufficient thoughtful practice. It means more or less the same as when someone is said to be fluent in a foreign language. To be fluent is to flow: Fluent isn’t halting or stumbling oneself. A key aspect of fluency in this sense is that it is not something that happens all at once in a single grade but requires attention to student understanding along the way. (That means one teacher can't reel in all the past knowledge missed.
     With that in mind how do we get students fluent and to grow in love for math? I've seen and heard of students that read and read and read all night long. But I've never heard of students that do math and math and math all night long. How do we build that love? That is what we will do together on this blog. We will answer that question. It may be a long journey but we have each other.
     I will be posting my thoughts and teaching ideas for you to use in your math class. HERE WE GO!

Part Part Whole Real Context

Part Part Whole Real Context dominoes
Check out teacherspayteachers.com for a great activity for part part whole.Part Part Whole