# Multiplication and Division: Helping Students with the Cognitive Shift (Session 1)

Part 1 of 2. Second session on 12/13/18.

Multiplication is the start of proportional reasoning - we can interpret 3 x 4 as for every 1, there is 4. This two-part after school workshop will help teachers fine tune their understanding of multiplicative thinking with an emphasis on the relationship between multiplication and division. For many students the shift from additive to multiplicative thinking is incomplete, and plagues their future work in mathematics. Using video, student interviews and their own experiences with multiplication and division, teachers will extend their own understandings and so deepen their ability to help students make the cognitive shift from additive to multiplicative thinking.

Participants will:

• deepen content understanding of multiplication and division

• Extend ability to listen to and interpret student thinking

• Strengthen coherence of multiplication and division instruction

Location TBA.