rote

（形容詞）丸暗記の、機械的な、決まりきったやり方の

"by rote"で、副詞的に同様の意味で修飾語として機能します。

rote exercise
rote learning

棒暗記、暗記学習、機械的学習、といったややネガティブに響く語句です。

routeやroutineと語源を同じくする語というとしっくり来るのではないでしょうか。


Initially, many in-coming students do not realize that mathematics is based on reasoning and problem-solving. Such students arrive believing that mathematics consists of memorizing arbitrary rules. Mathematics is a discipline which relies on critical thinking skills and not rote memorization.
(Renan Sezer. Education of Critical Thinking Skills Into Elementary School Teacher Education Courses in Mathematics. Education. 2008.)