Chapter 4

Build Procedural Fluency from Conceptual Understanding

Reflect: 

After reading Chapter 4, 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 building fluency from conceptual understanding.

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:

Developing and Using Equation Strings to Build Toward Fluency

Develop an equation string to use with your students that would support movement toward more advanced use of procedural strategies. 

  • Select an operation and a specific type of number, such as whole numbers, fractions, or decimals, in which your students need to move toward more advanced use of strategies. 
  • Identify the mathematics learning goals that will be supported by your equation string. 
  • Develop a sequence of three to five equations that will build toward student fluency connected to conceptual understanding and reasoning. 
  • Reflect on the following questions as you plan to facilitate a discussion of the equation string with your students. 
  • What strategies do you anticipate students using for each equation in your string, including those you hope they will use as examples of more advanced strategies? 
  • How will you record each strategy using visual models, number bonds, or equations? 
  • What questions will you ask to probe students' conceptual understanding as you progress though the equation string?

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.