For this week I would like to move from the Kindergarten next gen math standards over to the 1st grade next gen math standards. Here we build on what the students have learned in kindergarten and more into harder mathematical practices. For this week I would like to take a look at this Standard:
1. Through their learning in the Operations and Algebraic Thinking domain, students:
• develop strategies for adding and subtracting whole numbers based on their prior work with small numbers;
• use a variety of models, including discrete objects and length-based models (e.g., cubes connected to form lengths), to model add-to, take-from, put-together, takeapart, and compare situations to develop meaning for the operations of addition and subtraction, and to develop strategies to solve arithmetic problems with these
operations;
• understand connections between counting and addition and subtraction (e.g., adding two is the same as counting on two);
• use properties of addition to add whole numbers and to create and use increasingly sophisticated strategies based on these properties (e.g., “making tens”) to solve
addition and subtraction problems within 20; and
• build their understanding of the relationship between addition and subtraction by comparing a variety of solution strategies
For this I have an exercise that may help to get the kids using models to better visualize the content. Below I have created this with the tools in my class. These are just basic models but the usage of these cubes and the dry erase board allow the students to interact with the work. Also this can be used to incorporate length into the lesson plan. If you have any questions please leave a comment!
Last week my blog explored number sense and how
it could be taught in a kindergarten classroom. Looking at the next generation
common core standards next up we are going to be looking into how to teach kindergartners Geometry.
I taught this to kindergartners last year for
the first time and I expected that since it was shapes that it would be easy
for them. I learned that this topic can be just as difficult as addition and
subtraction for a lot of students. I am glad the next gen common core standards
are going to address this in a way that I think will helps students grasp
concepts of 2d and 3d shapes. Here are the learning goals for the next gen
common core standards.
·Describe their physical world using geometric ideas (e.g., shape,
orientation, spatial relations) and appropriate vocabulary;
· Identify, name, and describe basic two-dimensional shapes, such
as squares, triangles, circles, rectangles, and hexagons, presented in a
variety of ways (e.g., with different sizes and orientations), as well as three-dimensional
shapes such as cubes, cones, cylinders, and spheres;
· Use basic shapes and spatial reasoning to model objects in their
everyday environment to create and compose more complex shapes; and explore* coins and begin identifying of pennies and dimes.
With these in mind my next question is how can
we teach this in class? More specifically, how can we teach this so that the
students are engaged and get the most from the lesson? Like any good teacher I
took to the internet to find the answer.
This site has a lot of good activities for kids.
All of which are centered around the use of manipulatives. It could be creating
a triangle out of Legos or making a square out of number cubes. The key piece
to this learning will be the hands-on experience. Once doing this we can work
on the objective of finding shapes in the physical world as the students will
already be familiar with the appropriate shapes.
Lastly, I would like to share a video that we
use in my classroom. This man Jack Hartmann (no relation) has so many great
videos dealing with shapes, numbers, letters and words. These have been extremely
effective in our classroom so maybe someone else could benefit from them.
Hello all and welcome to my Blog! For my first week I wanted to start off with something I could directly apply to my classroom today. I work with kindergartners and as of right now they have not started their math work for the year.
After the Professor showed us the Next Generation Mathematics and Learning Standards for New York I became very interested in figuring out how these new standards could apply to my class. So for this week I wanted to take a look into that.
There seem to be 2 main areas of learning in these standards. The first being counting and learning numbers. The second learning shapes and how they relate to their environment. This week I would like to look at the first and see how I can better help my students learn and use numbers. If you are interested in looking into these for your class you can find the information here: NY Standards
Here are the goals I will be looking at today:
1. Through their learning in the Counting and Cardinality and Operations and Algebraic Thinking domains, students:
• develop a more formal sense of numbers;
• use numbers, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set; counting out a given number
of objects; comparing sets or numerals; and modeling simple joining and separating situations with sets of objects, or eventually with equations such as 5 + 2 = 7 and
7 – 2 = 5. Note: Kindergarten students should see addition and subtraction equations, and student writing of equations in kindergarten is encouraged, but it is not
required; and
• choose, combine, and apply effective strategies for answering quantitative questions, including quickly recognizing the cardinalities of small sets of objects, counting
and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away
Here are some ways I found to help students with these objectives in mind:
Developing Number sense can be fun for students at this age. At the end of the day getting these kids to learn number sense comes down to practice and repetition. Fortunately these can be fun. Please see below for some ideas on how to make it fun and see this website as it is where I got the info from Number sense printables
Aside from that there are a lot of other ways to get students involved. I found a great video that will walk you through an exercise that I think will be very effective.
My take away from this weeks post is that at the early ages the more imaginative and interactive you can make the work the better it will be for the students learning. While using blocks is a great way to give them a hands on look at numbers. I feel that I should be a little more creative so that the kids can get a little more excited.
