We present a foundational reimagining of mathematics where operations are ontologically primary and objects emerge as stable attractors of iterative processes. Mathematical constants arise as fixed points of “threading aggregates”--nested op-erational patterns where each iteration threads through previous results until stabilization. The Ωp hierarchy (ϕ, Ω3, Ω5 . . .) represents threading attractors at increasing depths, explaining why these constants appear ubiquitously in physical systems: nature converges to the same operational attractors. Treating mathematics as an evolving ecosystem, we taxonomize operations as verbs, constants as species, and properties as traits, revealing ecological relationships (competition, mutualism, succession) governing mathematical structure. This framework transforms pedagogy from memorization to process understanding, resolves the “unreasonable effectiveness” of mathematics (physics and mathematics share operational substrate), and generates testable predictions. Mathematics becomes the natural history of operational space.