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They may not always be connected to curriculum and should get students to truly think

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Problem-solving tasks lead to engagement

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Problem-solving tasks lead to engagement

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Tasks should be engaging to help students really think

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Tasks should be engaging to help students really think

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I love the idea of letting the task be front and center, not the curriculum.  The tasks shown seem very engaging and accessible.

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I love the idea of letting the task be front and center, not the curriculum.  The tasks shown seem very engaging and accessible.

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Completing the task before teaching

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Involving students in random grouping helps them be more accepting of new groups and working with their peers

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Involving students in random grouping helps them be more accepting of new groups and working with their peers

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Randomly assigning groups and roles to encourage engagement and risk-taking

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Randomly assigning groups and roles to encourage engagement and risk-taking

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Visibly random groups provide less social stress and take away the "follower" versus the "thinker"

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Visibly random groups provide less social stress and take away the "follower" versus the "thinker"

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vertical surface prevents disengagement 

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vertical surface prevents disengagement 

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Give students a problem to really think about, something that will engage and challenge them

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Give students a problem to really think about, something that will engage and challenge them

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Randomly assignment groups

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Having students switch up who is writing, or have one student write what another has said will increase participation and engagement

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Having students switch up who is writing, or have one student write what another has said will increase participation and engagement

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Vertical whiteboard use for student involvement

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Vertical whiteboard use for student involvement

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Writing vertically leads to more thinking, and moves those that stall or fake into a positive mindset about what they are working on

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Writing vertically leads to more thinking, and moves those that stall or fake into a positive mindset about what they are working on

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Predetermined thoughts about students (high, med, low) is washed away.

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Predetermined thoughts about students (high, med, low) is washed away.

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Just spend the extra money on big white boards. :)

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Just spend the extra money on big white boards. :)

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A major point made by Liljedahl is that it is unrealistic to try to make most of your tasks tied to the curriculum you are teaching at the moment. The overall goal is to get students to think, and to see themselves as math people, so the focus on task selection should be on good tasks ideally with low floor and high ceiling.  

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A major point made by Liljedahl is that it is unrealistic to try to make most of your tasks tied to the curriculum you are teaching at the moment. The overall goal is to get students to think, and to see themselves as math people, so the focus on task selection should be on good tasks ideally with low floor and high ceiling.  

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Random Groupings with some assigned roles

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Random Groupings with some assigned roles