# #ShowYourWork, make sense and persevere, flexibility with @IllustrateMath

How might we learn to show our work so that a reader understanding without having to ask questions? As we work with our young learners, we want them to grow as mathematicians and as communicators.

We ask students to show their work so that a reader understands without having to ask them questions. What details should we add so that our thinking is visible to others?

To show (and to assess) comprehension, we are looking for mathematical flexibility.

I taught 6th grade math today while Kristi and her team attended ASCD.  She asked me to work with our students on showing their work.  Here’s the plan:

Learning goals:

• I can use ratio and rate reasoning to solve real-world and mathematical problems.
• I can show my work so that a reader can understanding without having to ask questions.

Activities:

Learning progressions:

Level 4:
I can demonstrate mathematical flexibility with ratio and rate reasoning to show what I know more than one way using tables, equations, double number lines, etc..

Level 3:
I can use ratio and rate reasoning to solve real-world and mathematical problems.

Level 2:
I can make tables of equivalent ratios relating quantities with whole-number measurements, and I can use tables to compare ratios.

Level 1:
I can use guess and check to solve real-world and mathematical problems.

Anticipated solutions:

Sample student work:

1. […] this blog post, a teacher describes how she uses this task to teach students how to […]

Like

2. […] also used Jill Gough’s and Kato Nims’ visual #ShowYourWork learning progression to frame how to write a solution to the […]

Like

3. […] as well as the more “typical” algebraic notations? Inspired by the work of Jill Gough in her #ShowYourWork learning progression, we decided to add a second sentence to our […]

Like

4. […] as well as the more “typical” algebraic notations? Inspired by the work of Jill Gough in her #ShowYourWork learning progression, we decided to add a second sentence to our […]

Like

5. […] for sharing all of our work live), we might have pushed further here and asked participants to show what they know using words, pictures, graphs, numbers, symbols, and equations (inspired by the work of Jill Gough and Jennifer […]

Like

This site uses Akismet to reduce spam. Learn how your comment data is processed.