In this course,
participants will learn how to use a variety of mathematical models –
specifically linear and area models which can be applied to teaching practice
to foster a better understanding of fractions for their students in grades 3 -
5. Using manipulatives
like Cuisinaire rods and pattern blocks – both
virtual and “hands on” –participants will develop a broader understanding of
what fractions are and how they can be operated upon through engagement in the
mathematics. Participants will
investigate student difficulties with fractions through examining student work
and student interviews. For the final
project, participants will create classroom activities about fractions using
the mathematical models used throughout the course.
This course
will:
·
develop a broader
understanding of what fractions are and the mathematics underlying the
algorithms
·
provide course participants with a greater understanding of
student difficulties with fractions through examining student work and
conducting a student interview;
·
introduce teachers to specific mathematical models,
specifically linear and area models, which can be applied to their teaching
practice to foster better understanding of fractions; and
·
promote a
“learning-by-doing” methodology, which is applicable to students at all ages.