<p>A Coursera course from Stanford University's Dr. Keith Devlin that teaches how mathematicians think – logic, proof techniques, and abstract reasoning – bridging school computation and university-level, proof-based mathematics. It is positioned as an introduction to mathematical thinking rather than to any particular mathematical topic.</p><ul><li>Nine modules covering logical reasoning, formal language, proof, and deductive reasoning; the final module "Test Flight" gives extended practice for prospective mathematics majors</li><li>Delivered as short video lectures, written materials, quizzes, and peer-reviewed assignments</li><li>Intermediate level; Coursera estimates roughly 4 weeks at about 10 hours per week</li><li>Free to audit; a shareable certificate is available for a fee and can be added to LinkedIn</li><li>Best suited to JC2 or post-A-Level students considering mathematics at university</li></ul>