Classically structured Secular Homeschooling

Explain how Sayers recasts grammar, dialectic, and rhetoric as a sequence from acquiring intellectual material to testing it and communicating a synthesis.

Explain Sayers’s proposed correspondence between grammar, dialectic, and rhetoric and her “Poll-Parrot,” “Pert,” and “Poetic” developmental stages.

Explain the classical quadrivium of arithmetic, geometry, music, and astronomy through its four perspectives on number, magnitude, proportion, and motion.

Explain why precise language, observation, stories, factual knowledge, memory, and numerical fluency should be cultivated early without postponing reasoning.

Explain a proposed progression from definitions and informal inference through argument analysis, formal logic, probability, causal reasoning, and epistemology.

Explain a proposed progression from narration, recitation, and imitation through analytical writing and oral disputation to persuasive synthesis and thesis defence.

Make and justify high-level decisions about what to retain, modify, or drop from Sayers’s recommendations on Latin, memorisation, formal logic, disputation, and theology.

Explain a proposed modern quadrivium that extends the classical lenses into number and algebra; space and geometry; ratio, pattern, music, and signals; and mathematical modelling of nature, while identifying how probability, computation, and experimental science supplement the old scheme.

Produce a provisional age-banded map showing how trivium and quadrivium tools might develop across childhood and adolescence without imposing rigid developmental boundaries.

Distinguish the educational roles of parents, individual tutors, small-group tutors, parent cooperatives, online schools, self-paced course providers, and enrichment organisations.

Compare parent teaching, specialist tutoring, and group learning by intellectual quality, personalisation, continuity, social value, availability, and cost.

Evaluate a UK tutor or educational provider for subject mastery, teaching quality, feedback, incentives, basic safeguarding, and fit with an ambitious curriculum.

Explain what mathematics circles, seminars, laboratories, debates, and workshops can provide that one-to-one tutorials cannot.

Specify a minimum viable operating model for a high-standard parent cooperative, covering decision rights, academic standards, tutor selection, family contributions, finance, and safeguarding.

Draft a one-page pilot cooperative for several families, including its initial subjects, tutor requirements, weekly rhythm, quality checks, budget assumptions, and criteria for expansion.