Inside a geometric calculator
How can several circles represent one number — and help a model add?
Open investigation →BrightLab / Focused research investigations
Three research ideas. Five classroom investigations. Read the evidence, make a prediction, then test it with a model.
Teacher setup, model choices and notebook guide →How can several circles represent one number — and help a model add?
Open investigation →How can we help a model check, correct and learn from made-up answers?
Open investigation →Does a calendar-shaped representation mean a model calculates directly on a calendar?
Open investigation →How does a model’s picture of a story change as it reads another sentence?
Open investigation →How much of a story trajectory comes from context, model, readout or projection?
Open investigation →Based on three Goodfire research papers. Original demonstrations are attributed and embedded from Goodfire. Spark’s classroom activities are independent adaptations, with their limits stated beside the results.