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How might this view of mathematics reinvigorate your math classroom? 

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How might this view of mathematics reinvigorate your math classroom? 

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If you teach math to others, what are some ways that you can train your students to explore and expect enchantment? (pg. 29)

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If you teach math to others, what are some ways that you can train your students to explore and expect enchantment? (pg. 29)

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Think of a time when you were captivated by exploring something (a vacation, an idea, a game). What analogies can you draw between doing math and doing this exploration?

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Think of a time when you were captivated by exploring something (a vacation, an idea, a game). What analogies can you draw between doing math and doing this exploration?

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Describe any virtues you have acquired as a result of doing mathematics.

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Describe any virtues you have acquired as a result of doing mathematics.

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What do you feel is the purpose of learning mathematics, for yourself or others?

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What do you feel is the purpose of learning mathematics, for yourself or others?

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seeing oneself as a capable mathematical learner who has the confidence and the habits of mind to tackle new problems

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perseverance

confidence

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Creating a critical thinker who problem solves and looks for patterns in the world. To understand how things work in the world. Looking for the processes of how you discover and explore. 

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Creating a critical thinker who problem solves and looks for patterns in the world. To understand how things work in the world. Looking for the processes of how you discover and explore. 

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-To build problem-solving skills and critical thinking skills.

-To increase curiosity and creativity

-Real-world applications of math

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gaining the skills to think creatively

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-collaborative skills

-appreciation for math

-appreciation of other viewpoints

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Productive struggle

Patience

Justice

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Just like exploring an escape room and the thrill of "beating" the clock, when you finally complete a math problem that was difficult and find that answer. The thrill of "beating" the problem is similar.

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communication skills,  perservence, confidence, exploration of the world, being adventurous,  problem solver, pattern seeker

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communication skills,  perservence, confidence, exploration of the world, being adventurous,  problem solver, pattern seeker

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Brian - Above-ground pool he installed - applied directly to his Geometry class

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thrill of being able to succeed accomplish something, satisfaction with progress being made toward like playing a video game

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thrill of being able to succeed accomplish something, satisfaction with progress being made toward like playing a video game

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consistently connect prior knowledge to lead students into the next new content. IBE: investigation before explanation

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Exploring BTC has been one of these "captivating ideas for me. I struggle, but it's productive

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the class is more than just receiving a grade, it should be about "learning" and perseverance.

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Playing a family game: various levels with different ages but being able to play and strategize at various levels. It is a thrill to see each of my children gain new skills/strategies each time we play.

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Can learn "soft skills" like how to work through difficult problems or how to apply one problem to another.

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focus on the experience and what you learn and that mistakes along the way are part of the exploration. 

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focus on the experience and what you learn and that mistakes along the way are part of the exploration. 

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I feel so invigorated...but still worried about implementing.

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-Model your ideas for students. (equal partnership)

-Students model ideas as well.

-Promote an environment of discussion (student-driven)

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constantly giving the students a gray area to work in. The world isn't black and white.

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shift student mindset and beleifs about what math exploration is and how it connects to the world

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shift student mindset and beleifs about what math exploration is and how it connects to the world