Breaking things down to their basic axioms and rebuilding them with proofs is arguably quite an advanced approach. By Terry Tao's three stages of of rigour clas

Breaking things down to their basic axioms and rebuilding them with proofs is arguably quite an advanced approach. By Terry Tao's three stages of of rigour classification [0], this perspective isn't typical until undergraduate study. It doesn't seem like a bad idea to give a taste of it significantly earlier, but I don't think it's surprising if someone without a more mature relationship with mathematics doesn't find much value in 'going back to basics.' If your daughter is doing well with a more intuitive approach it sounds like a good idea to stick with it for now. [0] https://terrytao.wordpress.com/career-advice/theres-more-to-mathematics-than-rigour-and-proofs/ https://terrytao.wordpress.com/career-advice/theres-more-to-...