The cognitive subjects of bioethics and technoethics, according to declarations of international organizations and reputable scientific studies, should be taught at all educational levels, utilizing all available means, whether in-person, remotely, contemporary, or asynchronous. Nevertheless, there is no general consensus on the method and means for their appropriate teaching in modern schools. Some argue that they should be taught autonomously, while others advocate for their integration into various subjects (or even one subject) of the existing curriculum. Although fruitful dialogue on these issues is ongoing, this paper aims to examine both methodological issues related to the teaching of bioethics and technoethics, and innovative teaching practices for their more effective instruction through modern digital technologies and artificial intelligence.