[5] In 1840 Tate became master of the mathematical and scientific department at the Battersea teacher training college; this was a private venture founded in 1839–40 by James Kay-Shuttleworth.
[6] Kay-Shuttleworth recruited Tate and two Scots, William Horne and Walter McLeod, to launch what was a new initiative in training, and textbook writing.
Its foundation was an initiative of the principal Frederick Temple, but the staff were few: Francis Turner Palgrave was vice-principal, Tate taught mathematics and science, and James Tilliard languages, geography and music.
[8] For a period Temple led discussion at Kneller Hall of radical education reform, with his friend Ralph Lingen and others.
[10] With Temple, Tate worked to select chemical and electrical equipment for school science teaching, and a government grant was made available to subsidise its sale.
He traced the pedagogic tradition in which he stood as Locke, Pestalozzi, the object lesson, David Stow and Samuel Wilderspin.
[14] Tate died at his residence, 51 Catherine Street, Liverpool, on 18 February 1888, and was buried on the eastern side of Highgate Cemetery.
[15][16][17] Tate was the author of numerous educational works on mathematics, mechanics, drawing, and natural science, all tending to promote intellectual methods of instruction.
His 'Philosophy of Education' (London, 1854, 8vo) reached a third edition in 1860; it showed Tate's debts to Francis Bacon, John Locke, Johann Pestalozzi and faculty psychology; it is noted for its advocacy of the inductive method.