Month: August 2016

“On Not Reinventing the Wheel” – Outline of an ad hoc Thesis – Mathematics in a Critical Perspective

  • A Perspective on Elementary Mathematics
    • “Shortcut Methods” not known to be supportive of any long-term learning
    • Theoretical foundations of mathematics by-in-large absent from contemporary teaching methods in elementary mathematics courses
  • Abstract Algebra not a Marketable Skill?
    • Macroeconomic trends and jobs data
    • Cultures and Mathematics
  • Novelty … from Theory?
    • Relevance of Analytic Geometry in Computer Graphics Applications
    • Relevance of Analytic Geometry in Geodessy – Navigational Methods, Survey Methods,  and Postcolonial Geography
    • Relevance of Algebraic Methods in Theory and Applications of Analytic Geometry
    • Relevance of procedural Logics and definitions of Set Theory, throughout Mathematical Disciplines
    • Abstract Algebra, Computational Models, and non-propietary Information Science
  • Novelty no End in Itself
    • Social-Political-Economic Theory – Consumerism as Modern Culture in Globalized Societies, Novelty as Material Device in Consumerist Marketing
    • Theoretical foundations of mathematical methods critical for understanding of qualities and limits of applications in Mathematics
    • Mathematical Philosophy – viz a viz Bertrand Russel – as an intuitive feature of mathematical knowledge, contrasted to technical features of Mathematical applications
    • This is not “Revenge of the Nerds” – Sensationalism, Sentiments, Cinema, and Technical Proficiency in Material Systems
  • Cultures of Mathematical Canon
    • Historic developments in mathematical canon
    • Narrative as cultural expression – Empires, Engineers, Metropolitan Socities, Artistans, Pirates, and the Limits of all that Glitters
    • Academia in a Global Geography
    • Mathematics not “All about Economics”
  • KM and Mathematics
    • Knowledge Models, Knowledge Representation, Knowledgebases, and Applications of Expert Systems
    • Historianship as a Scholastic Quality of Service – not all Histories are “Sunny,” not all Histories are Historically Accurate
    • Commodities, Projects, Narratives, and Needs of the Consumer
    • Social Macroeconomics, Narrative Trends, and the Modern Populism – a Critical Perspective
    • Material Agendas as Raison D’être in Material Projects Management
    • On Not Reinventing the Wheel