### Mathematical Mindsets Chapter 5

Wowzers…I
feel like the last few weeks have been a time warp of wedding planning and
summer school, and I have been so bad about keeping my posts a priority, but I
must say, all the wedding planning is exciting!! I have a growth mindset that I
can improve my blogging though, and I’m determined to stay on track with this
book study.

I
thoroughly enjoyed Chapters 3 and 4, and I hope you check out some of the other
bloggers thoughts on key takeaways. Chapter 3 shared the importance of teaching
the beauty and creativity in mathematics, and Chapter 4 shared some fantastic
games and activities for building number sense.

###

Creating Rich Mathematical Tasks

My
biggest takeaway from Chapter 5 was that it is in our hands to ensure we are
providing our students with rich, engaging mathematical tasks. Dr. Boaler
shared 6 cases of mathematics instruction that hooked the learners by piquing
their interest and presenting a challenge that they were determined to solve,
almost as though the math problems were brain teasers!

My favorite
of these was the number talk on 18 x 5 that Dr. Boaler conducted at a staff
meeting for a modern, tech-savvy online course startup company, Udacity. As
people shared their methods for finding the product, Dr. Boaler drew out the
visuals of their thinking on the whiteboard table. She shares that the buzz of
excitement in that room, and in any of our math classes when experiencing a
task like this, is that “most people…have never realized numbers can be so open
and number problems can be solved in so many ways.”

So how
do we incorporate this magic and wonder into our elementary and secondary classrooms?!

### 3 Tips to implement:

#### ONE

Ask
the question before teaching the method. (pg. 81)

Dr.
Boaler acknowledges that most of us are provided a curriculum from which to
teach. She spends so much time in this chapter, however, giving examples of how
we can modify the WAY in which we introduce the concepts so that kids have a
brain teaser/math challenge approach to spark curiosity. Dr. Boaler suggests
giving the students a challenging problem that incorporates the concept in a real,
meaningful way, without first telling the students the process to solve it.
Give them time to try things, brainstorm, and discuss first. Doing so will make
the introductions of formulas and algebraic properties so much more meaningful
for the kids once we do introduce them.

#### TWO

Open
math tasks to encourage multiple methods, pathways, and representations. (pg.
77)

Find
ways to open up math problems to multiple avenues of success, such as the 18 x
5 number talk. I can’t wait to revisit my math curriculum and see where I can
do this, and I am definitely thinking of starting the year with number sense
activities like this. I think these are PERFECT ways to introduce and begin
using the CCSS Math Practices.

#### THREE

Add
visual components.

Visualizing
our thinking as well as the thinking of others, and discussing the models, is
so valuable to our understanding of complex mathematics concepts. The more we
can provide this for our kids, the better!

Thanks
for sticking with me! I hope you can apply some of these strategies to your
teaching to help make math more exciting and meaningful for our kids! Don’t forget
to check out the other thoughts in the link up below, and please comment and
share how you might incorporate these strategies! I’d be particularly interested
in any 5

^{th}grade/upper elementary insights!!
Yay, Lorraine! So glad you've joined us! (Can't wait to hear more about wedding plans. . .) Great takeaways, I loved the 18 x 5 problem, too!

ReplyDeleteThanks Kathie!

DeleteGreat post! Good luck with all that you have going on!

ReplyDeleteI loved the Udacity section as well! I've been doing Number Talks in my classroom over the past week and it's so neat to see how they're thinking!

That's awesome I can't wait to try Number Talks once school starts! Do you use any sentence frames to get them started or anything?

DeleteI like how you connected the Standards of Mathematical Practice. These are great habits of mind that can help support mathematical mindset.

ReplyDeleteThanks! Yes, they definitely give purpose to the number talks!

Delete