In addition to his academic work in mathematics, Garção Stockler became interested in poetry, writing "Poesias Lyricas" ("Lyrical Poems"), that featured Horatian does, traditional stories and the philosophical poem "Aves", which was later published by Brazilian poet António Pereira de Sousa Caldas. Submitted to the Academy, the poem was considered for publication in 1819, but owing to violating the Catholic orthodoxy of the time, he was required to edit his ideas considered paradoxical. Stockler refused to alter his work, and published it in London, resulting in its condemnation by the Vatican, being registered on 23 June 1836 in the Index Librorum Prohibitorum. At the same time, though, Stockler elaborated his "Ensaio histórico" on the origin and progress of mathematics in Portugal, later published in Paris, that was critically acclaimed by José Silvestre Ribeirão (in "Resenha de Litteratura Portugueza") and as an insert in the "Annaes das Ciencias". This work, which was reedited, is considered one of the best histories of mathematical thought until the 19th century, one of the first works of its time in Europe. He also became interested in education, authoring a study on the establishment of public instruction in Brazil, and history of education and pedagogical studies.