Operational Thinking: From Concrete Models to Abstract Ideas

Course Number: EDU 5626 C08
Instructor: Sue Generazzo, Ph.D. & Gillian Galle, Ph.D.
Location: Bennington, Vermont
Dates and Times: July 17 - July 21, 2017 from 8 am - 4 pm and September 23 from 8 am to 11:30 am
Credits: 3 credits
Tuition:  $1,095

Note: Please register online. Course payment or purchase order of $1,095, payable to RRWIB, is due at the time of registration. Please mail check or purchase order to the Castleton Center for Schools, PO Box 6049, Rutland, VT 05701. If you wish to pay by credit card, please call the Center for Schools at (802) 770-7060. Thank you.

Course Description

This 3 credit-course will focus on number operations at the elementary level. The Common Core State Standards for Mathematics: Operations and Algebraic Thinking, grades K – 6, will provide the primary basis for explorations in connecting physical models to symbolic representations. Participants will have the opportunity to investigate mathematical patterns in operations while learning about strategies for implementing Concrete-Representational-Abstract teaching techniques in their own classrooms.

Course Objectives

By the end of this course, participants will be able to:
 Make the connection between procedural and conceptual understandings of a mathematical operation.
 Develop specific lesson plans and instructional strategies for enhanced lessons that move students from concrete mathematical situations to their representational mathematics context before addressing traditionally abstract math problems.
 Assess individual student learning and mastery of math concepts at each level using appropriate measurement tools.
 Continue to integrate the progression from concrete models to abstract mathematics within their daily classroom instruction throughout the school year.

Required Texts

The materials used for this course will be provided to instructors as a series of handouts. Possible resources may include:
Progressions Documents for the Common Core Math Standards
(available at: http://math.arizona.edu/~ime/progressions/) such as:
K-5 Progression on Number and Operations in Base Ten
K-5 Progression on Counting and Cardinality and Operations and Algebraic Thinking
Selected readings and activities from texts and research journals

For additional course information

Sue Generazzo, Ph.D.
(802) 468-1308

Gillian Galle, Ph.D.
(802) 469-1275

For additional registration information

Bethany Sprague
(802) 770-7060

Register online now!