plc-b math mathematical practice #4: model with mathematics march 10, 2014 robbin prock frank...

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PLC-B Math PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery

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Page 1: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery

PLC-B MathPLC-B Math

Mathematical Practice #4: Model with

Mathematics

March 10, 2014 Robbin Prock Frank Tillery

Page 2: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery

Why Model?Why Model?

As teachers, we model with mathematics routinely in our classrooms, but our goal is

that our students are also able to model math ideas.

Through numbers, symbols, objects, diagrams, and graphic representations we are able to see and manipulative math concepts and operations.

Page 3: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery

Modeling for successModeling for success

Creating models of math problems is an invaluable skill for success in problem solving.

When our students are able to get problems out of their heads through the creation of models, solutions are often not far behind.

Page 4: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery
Page 5: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery

Going beyond the teacher…Going beyond the teacher…

While the ability to create appropriate models is important, it is equally important that our students can

◦analyze their models to gain insights, ◦draw conclusions,◦and solve problems.

Page 6: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery
Page 7: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery

How do we get there?How do we get there?

Have students create their own models

Share with a partner to compare

Ask questions such as “would both models work?”

Allow students to see multiple ways the math can be represented.

Page 8: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery
Page 9: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery

Trying it outTrying it out

Sometimes children need help to construct the meaning to solve their problems.

They may need a template.

Page 10: PLC-B Math Mathematical Practice #4: Model with Mathematics March 10, 2014 Robbin Prock Frank Tillery

AssessmentAssessment

As students are working on constructing models during a classroom activity, we might simply stop to observe and ask questions to check their understanding.