These contributions reflect Faith’s knowledge of connections among equipartitioning,
multiplication, and number theoretic properties that explain the mathematical issues behind
the task.
Within this sequence, the three selected teachers’ participation again indicates how they
used their SMK to participate in discussions about the tasks designed to support their
learning of the EPLT. Fatima used her Common Content Knowledge to invent methods for
creating an odd number of equal-sized parts. Faith drew upon both her Specialized Content
Knowledgeto make connections between composition of splits from the EPLT and her
work with multiplication, factors, and arrays from the curriculum she teaches. Kathy’s
Common Content Knowledge enabled her to question Fatima’s strategy for making three
equal parts of a circle and to clarify for herself the requirement of relating parts to the
whole when equipartitioning.