Sentence examples for mathematical insights and from inspiring English sources

While performing mathematically relevant directed actions facilitated key mathematical insights and intuitions for two tasks (Triangle and Gear), directed actions on their own did not lead to superior informal proofs compared to irrelevant actions.

Professor Scarf's mathematical insights and formidable mental dexterity were invoked in more than one Nobel citation.

GEMC guides the design of a video game-based learning environment intended to promote students' mathematical insights and informal proofs by eliciting dynamic gestures through in-game directed actions.

As an example of the application of the GEMC theory, we describe early findings from a small pilot study of middle- and high-school students to understand the influences of action-based interventions on their mathematical insights and proofs.

We would also like to thank the microbiologists at CMBN, Rikshospitalet (Oslo, Norway) for supplying information about the bacteria and for helping with all the lab work, Einar Rødland for rigorous mathematical insights and Ophelie Aussedat for helping with the figures.

In this paper we show mathematical insights and techniques which we hope will lead to practical algorithms for the problem.

But in 1988, using a combination of mathematical insight and computer muscle, the American Noam Elkies discovered that 2,682,4404 + 15,365,6394 + 18,796,7604 = 20,615,6734 a stupendous counterexample that destroyed Euler's conjecture.

That research usually requires a great deal of mathematical insight and trial and error, and even when it's successful, the results may be impossible to generalize to other cases.

One indicator is that pedagogical hints were found to influence insight performance directly, and to increase the production of dynamic gestures, which, as hypothesized earlier (H1), promotes mathematical insight and the formulation of valid informal proofs (H6) through a mechanism such as transduction.

Based on our theory and the findings reviewed above, we offer novel predictions that guide the design of GEMC-inspired learning environments: directed actions and language prompts are hypothesized to each act as viable, independent, malleable factors for enhancing proof performance by fostering mathematical insight and verbalizable proof production.

We worked together on establishing asymptotic properties of the nearest-neighbor pattern classification rule, and I always found Tom's geometric intuition and mathematical insights beyond remarkable, they seemed super-human.