Enhancing Mathematical Thinking Through Connecting Representations
Explore the instructional routine of connecting equations to diagrams to foster structural thinking in mathematics. Learn how to make connections, share and study them, create representations, and reflect on learning in a structured manner for improved understanding.
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Presentation Transcript
CONNECTING REPRESENTATIONS An Instructional Routine An Instructional Routine Prompting Structural Thinking Prompting Structural Thinking
CONNECTING REPRESENTATIONS WHAT: Connect equations to diagrams 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 diagrams 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 equation?
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 diagram is helpful because... When interpreting an equation, I learned to pay attention to
