**Use and connect mathematical representations.**

*Effective teaching of mathematics engages students in making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving.*

*Principles to Actions: Ensuring Mathematical Success for All*

15 min | Homework discussion, Q&A, Problem of the Week |

15 min | Deepening: Use and connect representations |

15 min | Construct a viable argument and critique the reasoning of others |

20 min | 5 Practices: Anticipate, Monitor, Select, Sequence, Connect |

40 min | Visual Patterns – Routines for Reasoning |

15 min | Closure |

End of session |

Homework:

- Practice finding and connecting multiple representations in our Number Talks
- Read: Use and Connect Mathematical Representations
- What the Research Says: Representations and Student Learning (pp. 138-140)
- Promoting Equity by Using and Connecting Mathematical Representations (pp. 140-141)
- Check out Kristin Gray’s (@MathMinds) response to Vicki’s tweet (shown below) and try to answer the question for yourself for a Number Talk you’ve done or will do this week.

Standards for Mathematical Practice

- I can make sense of tasks and persevere in solving them.

- I can construct a viable argument and critique the reasoning of others.

“Connect Extend Challenge A Routine for Connecting New Ideas to Prior Knowledge.” *Visible Thinking*, Harvard Project Zero.

Leinwand, Steve. *Principles to Actions: Ensuring Mathematical Success for All*. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 46) Print.

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.

Gough, Jill, and Kato Nims. “#LL2LU Learning Progressions.” *Experiments in Learning by Doing or Colorful Learning.* WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.

Smith, Margaret Schwan., et al. *Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5*. The National Council of Teachers of Mathematics, 2017.

Previous Embolden Your Inner Mathematician agendas:

- Week One: Subitizing and Number Talks: Elicit and use evidence of student thinking
- Week Two: Subitizing, Number Talks, and Splats: Elicit and use evidence of student thinking
- Week Three: Make sense of tasks and persevere in solving them: Facilitate meaningful mathematical discourse
- Week Four: Attend to Precision and Construct a Viable Argument: Facilitate meaningful mathematical discourse
- Week Five: Strengthen Mathematical Flexibility: Use and connect multiple representations

[…] Week Six: Visual Patterns-Strengthen Mathematical Flexibility: Use and connect mathematical representations… […]

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