Review

The Review component of the Core Challenge provides community members with opportunities to professionally critique the design of content submissions.  This process is essential and provides a quality control system that is informed by those implementing these ideas in classroom settings. 

Research informed guidelines will enable contributors to design high quality learning objects (conceptual pencasts, math tasks, lesson, plans, etc).  Peer feedback in an integral part of the development cycle and ensures that all teachers and students have access to world-class resources. 

An example of the research-informed design criteria for Conceptual Pencasts is found below.  A conceptual pencast is a short video or pencast that helps teachers understand how to develop a deep conceptual understanding of a mathematical concept. 

Conceptually-focused pencasts will:

  • Help teachers understand mathematical concepts using abstract reasoning, concrete and pictorial representations, and paying careful attention to the use of appropriate mathematical language, vocabulary, and notation.
  • Demonstrate how various representations connect with each other, are similar/different, and are useful for different purposes (When appropriate, make teachers aware that each representation only partially captures the essence of a definition most of the time.).
  • Help teachers develop an understanding of alternative approaches and diverse strategies for doing mathematics and solving problems.  Provide examples that serve to clarify common student understandings as well as identifying potential student errors with suggestions for addressing misunderstandings.
  • Help teachers promote opportunities where students can make connections between mathematics content and the Standards for Mathematical Practice.
  • Help teachers promote student thinking about mathematical ideas by providing sample questions, such as:  Why?  How do you know? What does this mean?  Why do these representations or strategies lead to the same solution?  Who uses these concepts (outside of the mathematics classroom), and for what purpose(s)?