How should we organize the teaching of the disciplines so that students make epistemic use of the writing tasks they are usually assigned? Among the different ways of teaching academic writing in higher education, this article discusses the interwoven approach, which consists of both teaching the disciplines with writing and teaching to write in an integrated way. We highlight its features and distinguish it from other approaches. We then illustrate it through the collaborative experience developed between an engineering instructor and a writing instructor over 18 months. Our approach contributes to improving the disciplinary instructor’s teaching practice, so that he/she not only assigns and evaluates reading and writing tasks but also teaches how to carry them out; likewise, we try to ensure that writing is used as an epistemic means of crafting disciplinary knowledge, and not only t...