History, anecdotes, correlations, and interviews -- Spatial-temporal and language-analytic reasoning in learning math and science -- Music enhances spatial-temporal reasoning -- Implications : scientific, educational, clinical -- Symmetry as a common theme -- Introduction to the brain : basic brain features and brain imaging -- Mountcastle theory of mammalian cortex : internal neural language of higher brain function -- Trion model and symmetries -- Trion music : reasoning and creativity -- Trion model of higher brain function : prediction that music enhances spatial-temporal reasoning -- Highly accurate mental rehearsals : correlation with top performance in sports -- Listening to Mozart sonata (K.448) enhances spatial-temporal reasoning : the "Mozart effect" -- Music training enhances spatial-temporal reasoning in preschool children -- Music training plus spatial-temporal training equals improved math -- EEG and fMRI studies of the Mozart effect -- Symmetry in Primate higher brain function -- Musical structure of the internal neural language of the brain : using music as the rosetta stone to help decode this internal language -- Animal behavior while listening to music and doing higher brain functions -- Child brain development and adult brain reorganization -- Education : music training plus spatial-temporal training improves math -- Clinical implications -- The spatial-temporal thinking machine -- Thoughts -- Science updates and breakthroughs -- Revolution in math education.