Visible Thinking In - Mathematics Pdf |best|
The method relies on structured routines and visual tools to help students move beyond just "finding the answer": Thinking Routines:
| Routine | Core Questions / Process | Primary Mathematical Application | | :--- | :--- | :--- | | | What do you see? What do you think about that? What does it make you wonder? | Analyzing visual patterns, interpreting graphs, launching problem-solving tasks (e.g., 3-Act Math). | | Connect, Extend, Challenge | How do the new ideas connect to what I already know? What new ideas extend my thinking? What is still challenging? | Linking new concepts (e.g., fractions) to prior knowledge (division), reflecting on learning after a unit. | | Think, Pair, Share | Think about a problem individually, Pair up to discuss, Share ideas with the larger group. | Promoting collaborative problem-solving and peer-to-peer learning in any math activity. | | Claim-Support-Question | Make a Claim . Provide Support (evidence, proof). Pose a related Question . | Justifying solutions, proving geometric theorems, and critiquing mathematical arguments. | | What Makes You Say That? | A probing question used after a student makes a statement: "What makes you say that?" | Encouraging students to always provide evidence for their interpretations and solutions. |
To successfully implement visible thinking in your mathematics classroom, consider the following tips: visible thinking in mathematics pdf
Bridges the gap between concrete objects and abstract equations. Non-permanent vertical whiteboards (VNPS)
It aligns perfectly with core mathematical practices, such as constructing viable arguments and critiquing the reasoning of others. 4. Chalk Talk The method relies on structured routines and visual
Transitioning to a visible thinking model requires intentional shifts in daily classroom habits. Reframe the Role of the Teacher
Present students with a mathematical image, a graph, an equation, or a word problem without an accompanying question . Ask two simple questions: "What do you notice?" and "What do you wonder?" What is still challenging
Routines are short, easy-to-learn patterns of discourse. Below are the most effective for math, adapted from Project Zero’s thinking routines toolbox.
Students look at a mathematical stimulus (e.g., an array, a coordinate grid, or an anomalous equation) and state purely what they notice without interpreting it yet. ("I see three rows of red dots and one row of blue dots.")
