Core Curriculum Tailored for Haredim

The Haredim of Israel are notorious for refusing to teach the core curriculum in their elementary schools and high schools. The worst consequence of this for Israel is that the Haredim wind up ill-equipped to work in a modern economy. The biggest deficit, with regard to employability, is the inability to understand English and do basic mathematics. The Haredim claim that Haredi adults who want to enter the job market can acquire these skills as young adults in special programs, but in practice the dropout rate from these programs is 50-80%.

Enter Keith Devlin. On 1/4/15 he posted, at http://devlinsangle.blogspot.co.il/, on the subject of teaching (abstract) mathematics to computer scientists:

Numerous studies have shown that if you test university students just a few months after they have completed a course, they will have forgotten most of the facts they had learned, even if they passed the final exam with flying colors. But that doesn’t mean the course wasn’t a success. The human brain adapts to intellectual challenges by forging and strengthening new neural pathways, and those new pathways remain long after the “facts” used to develop them have faded away. The facts fade, but the abilities remain.
If you want to prepare people to design, build, and reason about formal abstractions, including computer software, the best approach surely is to look for the most challenging mental exercises that force the brain to master abstract entities — entities that are purely abstract, and which cause the brain the maximum difficulty to handle. And where do you find this excellent mental training ground? In mathematics.

So here's a compromise proposal. Instead of trying to force the Haredim to teach English and mathematics in high school, get them to teach something that is consistent with their lifestyle but that prepares them to learn English and mathematics later. For English, teach Aramaic grammar and vocabulary, with vocabulary lists to memorize and with readings in midrashim, so they learn how to learn a foreign language. For mathematics, teach formal logic disguised as a method of analyzing a sugya in Gemara. Maybe it could be based on RaMBaM's treatise on logic. For all I know the Brisker method could be reformulated as an application of formal logic. That might reduce the Haredi young adult dropout rate to something tolerable like 20%.