Using Visual Models to Understand Mathematical Operations Rachel - PowerPoint PPT Presentation

Using Visual Models to Understand Mathematical Operations Rachel Hughes and Bart van Veghel The Bishop Strachan School

Work inspired by… Cathy Fosnot, Janan Hamm, Kara Imm Jo Boaler Resources to consult: Contexts for Learning - www.heinemann.com/contextsforlearning/ Math in the City - education.ccny.cuny.edu/mitcccny/ You Cubed - youcubed.org

Focus of the work… Promote student inquiry into operations - the process opposed to the answers Moving away from rote “tricks” and algorithms to a more conceptual understanding of the math Becoming proficient in using math language and representations to communicate student thinking Visual models: introduced through “strings” and real life context inquiries

Open Array String - Multiplication with Landmark Numbers 4 x 25 16 x 25 400 x 25 1600 x 25 30 x 100 30 x 50 32 x 50

Rational Numbers and the Money Model Money and the use of context ½ + ⅕ ⅖ + ½ ½ + 1/10 ⅖ + 3/10 2 ½ + 1 ⅖ 10 ½ + 5 ⅗ 99 ⅗ + 1 ½

Clock model - rational numbers that don’t work with Money model

The Double Number Line

Thank you for joining us! Bart van Veghel Rachel Hughes bvanveghel@bss.on.ca rhughes@bss.on.ca @rachelphughes @bvanveghel