Find Resources

In this video, co-teachers Chelsea and Giuliana enact the full routine with their 4th grade students at PS10 in New York City. 

During the routine, students are given two sets of mathematical representations that on the surface may appear different but behave mathematically the same. Through their work together, students make matches between the given sets of representations, eventually creating their own representation.

This video shows highlights of the routine  as co-teachers Chelsea and Giuliana enact Connecting Representations with their 4th grade students at PS10 in New York City. 

During the routine, students are given two sets of mathematical representations that on the surface may appear different but behave mathematically the same. Through their work together, students make matches between the given sets of representations, eventually creating their own representation.

During this routine, students are asked to share what they noticed after only a quick flash of an image of a mathematical problem. From these noticings, students work together to create shortcuts to solve the problem, followed by a full group sharing of ideas. At the end of the routine, students reflect on what they paid attention to that might be useful when solving future problems.

This video shows highlights of the routine as Dwaina enacts Contemplate then Calculate with her 6th grade students at East-West School of International Studies in New York City.

During this routine, students are asked to share what they noticed after only a quick flash of an image of a mathematical problem. From these noticings, students work together to create shortcuts to solve the problem, followed by a full group sharing of ideas. At the end of the routine, students reflect on what they paid attention to that might be useful when solving future problems.

This video shows highlights of the routine, as Elisabeth enacts Contemplate then Calculate with her 9th grade Algebra I students at Academy of Innovative Technology in New York City.

In this video, Eric enacts the complete routine with his 9th grade Algebra I students at New Design High School in New York City.

During the routine, students are given two sets of mathematical representations that on the surface may appear different but behave mathematically the same. Through their work together, students make matches between the given sets of representations, eventually creating their own representation.

This video shows highlights of the routine as Eric enacts Connecting Representations with his 9th grade Algebra I students at New Design High School in New York City.

During the routine, students are given two sets of mathematical representations that on the surface may appear different but behave mathematically the same. Through their work together, students make matches between the given sets of representations, eventually creating their own representation.

Contemplate then Calculate is an instructional routine designed to support meaningful mathematical discussion (MP3) as students use mathematical structure (MP7) to make sense of multiple calculation strategies.

In this video, Harris enacts the complete routine with his 9th grade Algebra I students at Mather High School in New York City. 

During this routine, students are asked to share what they noticed after only a quick flash of an image of a mathematical problem. From these noticings, students work together to create shortcuts to solve the problem, followed by a full group sharing of ideas. At the end of the routine, students reflect on what they paid attention to that might be useful when solving future problems.

This video shows highlights of the routine as Harris enacts Contemplate then Calculate with his 9th grade, Algebra I students at Mather High School in New York City.

In this video, co-teachers Harris and Maria, enact the full routine with their 9th grade Algebra I students at Mather High School in New York City. 

During the routine, students are given two sets of mathematical representations that on the surface may appear different but behave mathematically the same. Through their work together, students make matches between the given sets of representations, eventually creating their own representation.

This video shows highlights of the routine, as co-teachers Harris and Maria enact Connecting Representations with their 9th grade Algebra I students at Mather High School in New York City. 

During the routine, students are given two sets of mathematical representations that on the surface may appear different but behave mathematically the same. Through their work together, students make matches between the given sets of representations, eventually creating their own representation.