First, define systems with students.
I like to begin with more sophisticated definitions such as the one I found on Wikimedia.
Then I like to pull the definition apart with main words:
- interacting or interdependent parts forming a complex/intricate whole.
- surrounded and influenced by its environment
- described by its structure and purpose
- expressed in its functioning or behavior
- also refers to a set of rules that governs structure or behavior
After that I put together a fifth grade friendly and memorable definition, one we can return to each time we discuss a new system in math. For example, we can describe systems in this way:
A system is parts that work together with with structure(s), purpose, and behavior to create specific function(s) or result(s).
With that definition students can study each math unit with a "systems lens" that focuses on the following questions:
- What is the title(s) of this system?
- What are the parts of this system?
- What is the structure (framework) of this system? How can we model and describe this?
- Why was this system created? What is its purpose?
- How does this system work, act, or behave?
- What is the result or function of this system? What does this system help us to do?
As we study the base-ten place value system, we'll answer these questions.
How do you help fifth grade students to learn math with a systems lens? Why is this important? How will it affect their learning and understanding? What would you add to this approach?
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I welcome your wisdom, ideas, and questions as we teach and learn together with a goal of serving every child well.