At Traverse Boulder, I facilitated the following session on Tuesday, June 5, 2018.
Experiential and Instructional:
Promoting Productive Mathematical Struggle
How might we implement tasks that promote reasoning and problem solving to deepen conceptual understanding? Let’s identify and implement high quality tasks grounded in real experiences. Advancing the teaching and learning of mathematics cannot be accomplished with decontextualized worksheets. Discuss, sketch, and solve tasks that promote flexibility, creative and critical reasoning, and problem solving. Learning math should be anchored in depth of understanding through context – not pseudo context – and built on conceptual understanding as well as procedural fluency.
Here’s my sketch note of our plan:
Here’s the slide deck:
Just say no to worksheets.
Say YES to productive struggle and grappling.
Embolden your inner storyteller and leverage the art of questioning.
Context is key.
Summer Literacy and Mathematics Professional Learning
June 5-9, 2017
Day 1 – Make Sense and Persevere
Jill Gough and Becky Holden
Today’s focus and essential learning:
We want all mathematicians to be able to say:
I can make sense of tasks
and persevere in solving them.
(but… what if I can’t?)
Great teachers lead us just far enough down a path so we can challenge for ourselves. They provide us just enough insight so we can work toward a solution that makes us, makes me want to jump up and shout out the solution to the world, makes me want to step to the next higher level. Great teachers somehow make us want to ask the questions that they want us to answer, overcome the challenge that they, because they are our teacher, believe we need to overcome. (Lichtman, 20 pag.)
… designed to help students slow down and really think about problems rather than jumping right into solving them. In making this a routine approach to solving problems, she provided students with a lot of practice and helped them develop a habit of mind for reading and solving problems. (Flynn, 19 pag.)
Agenda and Tasks:
- Flynn, Michael. Beyond Answers: Exploring Mathematical Practices with Young Children. Portland, Maine.: Stenhouse, 2017. Print.
- Flynn, Michael. “If My Math Is Correct….” Math Leadership Programs. Mount Holyoke College, n.d. Web. 26 May 2017.
- Gough, Jill, and Jennifer Wilson. “#LL2LU Learning Progressions: SMP.” Experiments in Learning by Doing or Easing the Hurry Syndrome. WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.
- Imm, Kara Louise., Catherine Twomey. Fosnot, and Willem Uittenbogaard. Minilessons for Operations with Fractions, Decimals, and Percents: A Yearlong Resource. Portsmouth, NH: Firsthand/Heinemann, 2007. Print.
- Kaplinsky, Robert. “Do You Have Enough Money?” Robert Kaplinsky. N.p., n.d. Web. 26 May 2017.
- Lichtman, Grant, and Sunzi. The Falconer: What We Wish We Had Learned in School. New York: IUniverse, 2008. Print.
- Reynolds, Peter H. The Dot. Denton, TX: BrailleInk, 2005. Print.