Is Explaining Your Mathematical Thinking Really Necessary?

Katharine Beals and Barry Garelick wrote an article in The Atlantic, in which the title of the article is pretty descriptive.

explaining

Dan Meyer was quick to post his response to this in a post titled, Understanding Math vs. Explaining Answers.  He concludes, “Let’s be inflexible in the goal but flexible about the many developmentally appropriate ways students can meet it.”

Twitter also responded to the article…

nowak

cuddle

tracy

Which led me to ask whether my students, who typically struggle with expressive and receptive language based tasks, would benefit or be hindered by being asked to explain their thinking.

During class today I asked a student to write down how he had solved an addition problem he had completed mentally.

206fabe0-b302-4e0a-8c1e-531c57961e3a

He had gotten the “right answer,” but his method of solving the problem showed a lack of place value understanding which would cause him to make a mistake if the tens place value had been over 100.  Because he explained his thinking in writing, I was able to get a small piece of formative assessment which will help me effectively teach this student for the rest of the school year.

So do I think explaining your mathematical thinking is necessary in math class?

YES.

2 thoughts on “Is Explaining Your Mathematical Thinking Really Necessary?

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s