Algorithm
The word 'algorithm' has its roots in Latinizing the name of Muhammad ibn Musa al-Khwarizmi in a first step to "algorismus". Al-Khwārizmī (, , c. 780–850) was a Persian mathematician, astronomer, geographer, and scholar in the House of Wisdom in Baghdad, whose name means 'the native of Khwarezm', a region that was part of Greater Iran and is now in Uzbekistan.
Mathetics
Seymour Papert, MIT mathematician, educator, and author, explains the rationale behind the term "mathetics" in Chapter 5 (A Word for Learning) of his book, "The Children's Machine". The origin of the word, according to Papert, is not from "mathematics," but from the Greek, "mathēmatikos", which means "disposed to learn." He feels this word (or one like it) should become as much part of the vocabulary about education as is the word pedagogy or instructional design.