Enhancing Mathematical Thinking Through Connecting Representations
Explore the instructional routine of connecting representations to promote structural thinking in mathematics. Discover how to connect solutions to graphs, analyze similarities/differences, share connections, create representations, and reflect on learning. Encourage critical thinking and deeper understanding through collaborative activities.
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Presentation Transcript
CONNECTING REPRESENTATIONS An Instructional Routine An Instructional Routine Prompting Structural Thinking Prompting Structural Thinking
CONNECTING REPRESENTATIONS WHAT: Connect solutions to graphs WHY: To think like mathematicians, to use mathematical structure to connect two things that look different.
CONNECTING REPRESENTATIONS Think Make Connections Share and Study Connections Create a Representation Reflect on Learning
THINK Ask yourself How are the graphs similar/different?
CONNECT I saw so I connected.... ... matches because...
SHARE CONNECTIONS We saw so we connected.... ... matches because... They paid attention to.... Their match works because...
Create a Representation THINK Ask yourself What are the chunks of this graph?
Create a Representation PAIR Share your representation. Together agree how best to explain your thinking.
Create a Representation SHARE They paid attention to Their representation matches because...
Reflect on Learning Paying attention to in a solution / graph is helpful because... When interpreting the solution to a quadratic equation, I learned to pay attention to
