Progressions & Fluency
Click on the above link to make of a copy of a Jamboard that is a virtual card sort of some (not all) of the Kentucky Academic Standards for Mathematics that relate to multiplication and division. Move the standards cards around to the grade level "sticky note" to which you think it is taught.
Then click on page 2 of the Jamboard to check your answers.
Multiplication and Division Progression Video
Progression Video by Graham Fletcher
View Graham's video from www.gfletchy.com
KAS-M Selected for Alternate Assessment
Multiplication and Division Progressions Slide Deck
Open the slide deck to the left to gain insight into standards that have been selected for Alternate Assessment with a focus on multiplication and division.
Fluency in Multiplication & Division
The progression of multiplication results in students being fluent. If we begin with the end in mind, maybe we could start by developing a deeper understanding of fluency.
What does it mean to be fluent according to the Kentucky Academic Standards? Watch the video below to find out!
Video courtesy of Rebecca Gaddie, GRREC Math Consultant.
The Components of Fluency.mp4
Jo Boaler at Stanford University is a leading researcher in mathematics education. Visit the website www.youcubed.org to see many of her resources. In particular, the page Fluency Without Fear delineates ways to teach and learn math facts.
Visit the Fluency Without Fear webpage and read through the article.
Consider how you might incorporate some of her suggestions and activities into your math class.
Explore the Tasks on www.youcubed.org and select a few that you could use with students to develop fluency in the area of multiplication and division.
LEARNING TASKS
How do we support our students in becoming fluent in math?
The answer is more complex than just looking at a few tasks; however, if we know that fluency is about more than just passing a timed test, we can begin by looking at ways to improve fluency practice.
Take a look at the resources below.
THINKING ROUTINE: Number Talks
A Number Talk (NT) is a thinking routine or a number routine that increases mental computation, computation strategies, and fluency. Routines are intended to occur routinely (about 4-5 times per week) for 5-15 minutes per day.
If you would like to try a Number Talk in your classroom, use the resources below.
How to Implement a Number Talk
Tips for Implementing Number Talks PLUS Virtual Learning Considerations
Click above to view a 3rd grade Number Talk on multiplication , followed by teacher dialogue about the lesson. This and other video lessons can be found by visiting the Inside Mathematics website, which is part of the Charles A. Dana Center at the University of Texas at Austin.
As you watch, make note of how students answered the questions:
How many?
How did you see it?
How might you begin to incorporate Number Talks into your classroom?
If you are already using Number Talks, how might you enhance them to develop all 4 aspects of mathematical fluency?
Graham Fletcher's Multiplication Subitizing Cards
Visit the blog here and view the video of Graham with his student.
How might you use these card sets with your students?
What do you notice and wonder about these cards?
MTP, SMP, HLP handout.pdfConnect to HLPs and MTPs
Which of the High Leverage Practices for Special Education and Mathematics Teaching Practices might you focus on as you teach your students to develop fluency with multiplication & division?
Connect to SMPs
Which of the Standards for Mathematical Practice could you help your students develop as they work to become more fluent with multiplication & division?
Click on the link above to complete the Exit Slip for this section of the training. After you submit the form, you will be sent a PD certificate for 2 hours of learning. The certificate will come from Certify'Em. Please check your clutter and junk folders if it doesn't appear in your Inbox. If you don't receive a certificate within 24 hours, please email mark.helton@ckec.org.
Continue to the next page to begin work on Models and Problem Situations!
