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Showing posts with the label Critical Thinking

Entry 15: Truth Tables & Logic

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Mathivation Research Lab Notebook Mathivation Research Lab Initiative   Entry 15: Truth Tables & Logic - The Mathematics of Promises Lab Entry - Mathivation Research Lab Every day in Rakesh Sir’s Math Lab, mathematics quietly meets life. This notebook records small classroom moments where mathematical ideas reveal something deeper about learning, thinking, and human experience. Opening Thought Not every mathematical truth lives inside numbers. Some truths live inside relationships. A promise made. A promise kept. A promise broken. One day in class, logic stopped looking like symbols and started looking like life. Lab Observation The lesson began with a simple topic: Truth Tables and Logical Relationships As soon as students saw symbols like: P, Q, ∧, ∨, → some faces became serious. Then a question changed everything. Can logic explain relationships? The classroom suddenly became curious. Real Classroom Connection We created a simple situation. Let: P = Husb...

Entry 11: Hypothesis Testing

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Mathivation Lab Notebook – Entry 11 Hypothesis Testing: When Doubt Meets Evidence Lab Entry - Mathivation Research Lab Every day in Rakesh Sir’s Math Lab, mathematics quietly meets life. This notebook records small classroom moments where mathematical ideas reveal something deeper about learning, thinking, and human experience. Opening Thought Every day, we believe things without proof. “This works.” “This is true.” “This will not change.” But sometimes… a question arises. What if this is not true anymore? And that is where mathematics quietly enters -  Not to calculate… but to question with courage . Lab Observation While introducing Hypothesis Testing , before formulae, before tables -  I placed a simple thought in the room: “What if what we believe… is not always true?” Students paused. The two ideas emerged: One that holds the world as it is One that dares to question it Without naming them yet -  they could already feel the difference. R...