Monday, July 17, 2017

But Why Does It Work?

written by Russell, Shifter, Kasman, Bastable, Higgins
Heinemann, 2017

But Why Does It Work? Mathematical Argument in the Elementary Classroom has a great title but I found it a little misleading.  I think the word, intermediate needs to be inserted before elementary.  There is much goodness in this book for third, fourth, and fifth teachers.  I love reading about teaching mathematics but found this book a bit challenging.  It's written with a bit more technical wording and research sitings.  If you are familiar with Number Talks, I think this is a nice extension  to that body of work.  I've never heard the phrase "productive lingering" and boy did I fall in love with it.  

These are nudges I found to try within my own work.
- encourage and allow productive lingering
- engage in mathematical argument by noticing patterns 
- encourage describing what they notice
- model and guide making conjectures
- work on representing patterns observed with math tools and resources

Here are some quotes that are sticking with me and might interest you in looking at this book mor

"Lingering" on students' ideas about important mathematics content had, they asserted, enabled their students to engage with mathematical ideas fundamental to their study of numbers and operations."

"Teachers found that after developing the habits of noticing patterns and regularities, students extended those habits to regular math instruction as they articulated conjectures about the mathematics they were studying."

"Through these explorations, students develop a stronger sense of how the number system works with different operations."

"By seeing the same idea represented in different forms, students develop a deeper understanding of the mathematical abstractions embodied in their conjecture."

"In sharing mathematical authority, a teacher must be open to the prospect of following students' thoughts as they unfold, knowing that sometimes these ideas could lead to a faulty conjecture or a winding route to the expected destination."

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