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Familiar and interesting contexts increase students engagemetn.

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incorporate tasks that promote both procedural fluency and conceptual understanding

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Let there be productive struggle

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Require children to engage with conceptual Ideas

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Require children to engage with conceptual Ideas

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Use problems with multiple entry points to improve problem solving skills

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pose questions that children have no memorized rules or methods and there is no perception that there is a specific "correct" solution method

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By building through constraints and parameters teachers can support students in developing more sophisticated strategies.

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Children's literature is a rich source for generating high cognitive demand tasks with multiple entry and exit points.

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Help students connect to math in a way they find interesting.

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Productive Struggle is crucial to children's learning mathematics with understanding.

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If the task triggers an immediate response to a known strategy it may be appropriate practice but it will not provide the child with any new mathematical insights or knowledge

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Both procedural fluency and conceptual understanding are equally valuable in children's development towards proficiency.

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For ELL students, having the ability to choose a strategy can lower the ELL students anxiety. 

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For ELL students, having the ability to choose a strategy can lower the ELL students anxiety. 

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Multiple ways to express answers

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It is crucial to children's learning to engage in productive struggles.

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It is crucial to children's learning to engage in productive struggles.

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Use word problems with multiple entry and exit points, varying degrees of challenge or can be approached in a variety of ways.

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Use word problems with multiple entry and exit points, varying degrees of challenge or can be approached in a variety of ways.

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Increase the number of entry points to a problem

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Productive struggle requires higher level thinking! 

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Productive struggle requires higher level thinking! 

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When children know that struggle is an expected part of the process of doing mathematics, they embrace the struggle and feel success when they reach the solution. 

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When children know that struggle is an expected part of the process of doing mathematics, they embrace the struggle and feel success when they reach the solution. 

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You need to plan for multiple entry points and exit points for diverse learners in your classroom

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When a child knows that a struggle is expected, they will embrace it and celebrate when they reach a solution.

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When a child knows that a struggle is expected, they will embrace it and celebrate when they reach a solution.

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Students need multiple ways to express their thoughts and answers. 

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Students need multiple ways to express their thoughts and answers. 

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Use familiar and interesting contexts to increase engagement. We all know this but it’s so important.

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When children know that struggle is a part of the mathematics process they embrace the struggle and celebrate their success. 

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When children know that struggle is a part of the mathematics process they embrace the struggle and celebrate their success. 

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A task can be problematic at first then become routine

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Use worth while tasks that promote reasoning and problem solving when teaching through problem solving 

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Use worth while tasks that promote reasoning and problem solving when teaching through problem solving 

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When teachers teach math through problem solving the teacher needs to use worthwhile/rich tasks that promote reasoning and problem solving.

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Begin the lesson with a problem that can get children excited about learning mathematics. 

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Begin the lesson with a problem that can get children excited about learning mathematics. 

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The teacher needs to use worth while or rich tasks that promote reasoning and problem solving.

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The teacher needs to use worth while or rich tasks that promote reasoning and problem solving.

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Use math problems that are interesting and allows the student to connect!

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Use math problems that are interesting and allows the student to connect!

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Children's literature is a rich source for generating high cognitive demand tasks with multiple entry and exit points.

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Make sure to have problems that can be solved in many different ways

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Make sure to have problems that can be solved in many different ways

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Children will have and need to have a variety of experiences with mathematics.

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Children will have and need to have a variety of experiences with mathematics.