Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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RepresentationSession 05 OverviewTab atab btab ctab dtab eReference
Part A

Observing Representation
  Review Matrix Multiplication | Taxicabs | Student Work | Student Work Reflection #1 | Matrix Approach | Interpreting Matrices | Student Work Reflection #2 | Classroom Practice | Observe a Classroom | Your Journal


We've just observed a problem involving probabilities of taxicab rides with a focus on representation. Now we'd like you to write about the variety of forms of communication that are possible during similar lessons. Choose at least one of the questions below to answer. As you make your journal entries, keep the material you've just seen and read in mind as context.

Questions to write and reflect about:
  • In the video, the students work with tree diagrams and matrices. How do these representations facilitate communication between students and with the teacher? How might you informally assess students' understanding of the matrix-based representation and related mathematical terms?
  • How does the taxicab problem promote student understanding of the importance of representation in the solution and discussion of a problem? How do you promote such understanding in your classroom?
  • How might the matrix solution method help students see the utility of basic skills such as matrix multiplication and at the same time expand their appreciation of mathematics as a subject with many interrelationships and applications?
Three ways to write and reflect:
  • Use pen and paper.
  • Use a word processor.
  • Use the form below.
Be sure to save what you have written before you navigate out of the journal section.


Your work will be displayed in a printer-friendly format to enable you to print.

Thanks for writing in your journal. Please keep your entries in whatever format you choose -- you will find them useful for reference later.

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