(PD Title No. MTH2511)

Using Models to Understand Fractions in Elementary School Classrooms

Proficiency Level: Mastery

Subject(s):Mathematics

Grade(s): 4,5,6

Hours: 30.00

Description: 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.

Pre-requisites: This is a course designed for teachers, curriculum specialists, professional development specialists, or other school personnel. Participants are expected to have regular access to computers, and proficiency with email and current web-browsers.

Objectives: 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.