Chapter 6

Use and Connect Mathematical Representations

Reflect: 

After reading Chapter 6, please reflect on the questions below and post your response by Monday. Feel free to respond to any of the questions provided or share something else that you intentionally did differently in regards to connecting mathematical representations.

Please note: the prompts below are to help you reflect. There is not an expectation for you to respond to all {or even any} of the provided questions!

Respond:

Assessing Proficiency to Translate Among Representations

Select a mathematics topic that you are currently teaching and design an assessment to check in on your students' ability to translate between specific modes of representations. Below are some translation suggestions to keep in mind as you design your assessment:

  • From a tape diagram, array or open number line {visual} to telling a story {contextual} 
  • From an array {visual} to describing it {verbal}
  • From an array or open number line {visual} to writing an equation {symbolic} 
  • From an equation {symbolic} to explaining the meaning of each number {verbal} 
  • From an equation {symbolic} to telling a story {contextual} 
  • From an equation {symbolic} to drawing a picture or diagram {visual}
  • From an equation {symbolic} to acting out the operation using objects {physical}
Then give the assessment to your students, analyze it and determine implication for your teaching of that topic.
  • Which translations were solid for your students as a class? 
  • Which translations were problematic for many students?
  • What else did you notice as strengths or limitations in your students' representations?
  • What are some next steps you can implement now to strengthen your students' representational competence?

Interact: 

On Tuesday, read your colleagues' reflections and respond to at least one other post by sharing a comment, insight, or interesting possibility by Friday.