The way to achieve your goals would be through lobbying your local school district, state education agency, and state legislature (if your American). A startup has limited power and no legal authority to change the public education system.
In addition, the VC model isn't particularly well suited for this.
How many generations will it take for parents to accept en masse a radically redesigned approach to schooling? A big part of schooling is babysitting + credentialing, you can't disrupt that over a few years with so much of society relying on those functions.
I don't think this needs to be directly tied to public education. My concern is more that educational startups tend to assume an institutional model (i.e an institutions defines what is being learned, how it's being learned etc etc). They don't need to change public education but rather create services that embody a different educational paradigm.
For example a matchmaking service for shared learning goals or interests could for sure be within the power of a startup. Something like 42[0] but without a fixed institution. Or community level organized learning environments for various subjects. Or even to go more in the vien of Papert and Turtle, a npm type system but with a strict pedagogical focus.
There's a ton of systems that can be hugely powerful without depending on a classroom model or a school/institution. And there's no reason these can't be as impactful or more as systems and services targeted towards public/institutional education.
I am sympathetic, but an obvious hurdle is that our employment system is largely biased toward that traditional pipeline. High school GPA/ACT Scores > Various Tiers of High Education > Standardized Credentials for Employment.
I'm not sure how you would resolve the two (without, of course, cracking the nut on a neutral, true-ability assessment system).
I think the latter is possible, but even without there are options.
There's a long-tail of credential consumers beyond traditional employers that holds a ton of value. Community level organizations, digital social networks, even open-source communities.
There's also a decent set of skills that can't currently be measured or conveyed by traditional standardized credentials.
Both of these represent an opportunity for a new academic/assessment paradigm to step in and create real value today.
That being said there's definitely going to be huge hurdles in getting to traditional employers, their logic is not necessarily based on best placement or best skill set, but often times on bureaucracy/ass-covering/good-enough mindset. Not to say that isn't valuable at very large scale organizations.
