Math w/Mrs. Caley

An inquiry stance with mathematics

Beliefs

  • Learning is social.
  • Students should have opportunities to represent learning in multiple ways.
  • Manipulatives should be used to support a concrete to abstract progression.
  • Conceptual understanding is achieved through questioning, exploration, and talk.

Goal setting

-setting high expectations

-responsibility and accountability

-purpose

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Morning Meeting

-content focused

-strategy sharing

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Collaborative opportunities

-technology integration (edmodo.com, Brainpop, Tenmarks, games)

-problem solving w/group members

-manipulatives (concrete & representational)

-self-checking (when possible)

-guided math: focus on language and mathematical practice

  • questioning w/ focus on how do you know and why do you think that is right (justifications, DOK 3)

-focus on how to learn and what to learn

-addressing mathematical practices

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Reflection (Closure)

-strategy sharing

-revisit goals & establishing what to do next

-reflect on practices (SMP, STANDARDS FOR MATHEMATICAL PRACTICE)

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Conceptual understanding

-progression: concrete, representational, abstract

-making sense of the algorithms and process, why and how they work, making connections

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Addressing misconceptions

-through conceptual understandings, students address their own misconceptions (like adding a 0 when multiplying by 10)

-why tricks don't help you understand why you do what you do and at some point will hinder growth

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Written explanations

-SMP #3: Construct viable arguments and critique the reasoning of others

-tying back to essential questions, connect relevance of why we are doing these skills back to the bigger question, especially helpful for struggling mathematicians

-collaborative conversations

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Math as a language

-vocabulary

-verbalizing concepts and moving towards math being used as a tool and not just a content area

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