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.