Bloom's 2 Sigma Problem

This page summarizes the projects mentioned and recommended in the original post on news.ycombinator.com

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  • trane-math

    Official math courses from the Trane Project

  • I started working on this a few weeks ago: https://github.com/trane-project/trane-math It currently needs a README, but you could take a look at the courses on how I am building the flashcards. It's easy to reference external resources, so that's what I have been doing, rather than trying to create exercises of my own.

    I am starting with a very basic olympiad-style book and a book based on Euclid's Elements, because I don't have the understanding required to clearly work out the dependencies of more advanced stuff. And I also would like to start at the beginning to make sure I don't miss anything.

    The ideal end state is to have courses that cover all the undergrad and grad math curriculum. I am also curious on whether this could be even used by researchers to keep up to date with the latest research on their fields. But all of that is a long way out.

    As for your question, there are a couple of ways that Trane could handle multiple paths through similar material.

    1. Just have separate curriculums. You could copy the courses, but the second copy has different dependencies, courses/lessons IDs. For example, one could have a series of courses teaching the undergrad MIT math curriculum and another the Harvard curriculum. They might share a lot of the material, but the order will be different.

    2. Trane does not lock you into a specific order. There are filters that let you specify which parts of the graph you want to study. You are free to get questions from specific courses and lessons. You can also use the metadata in the courses to say things like "give me questions from all lessons teaching linear algebra" or "give me questions from all courses on real analysis but not from the lessons on set theory". The dependencies between the lessons that match that metadata are still respected. There are a few more options, but you get my point. The dependencies are not set in stone, and there's freedom to jump around and study specific topics.

    I actually use option 2 most days. If I want to practice guitar, I just set a filter to give me exercises from the guitar. Similar thing when I want to practice saxophone.

  • trane

    An automated practice system for learning complex skills

  • Already working on fixing this: https://github.com/trane-project/trane/

    No AI needed. Just an old fashioned depth first search through a graph of skills and dependencies.

    I made it to help me practice music, but I have been branching out and using it to study math for a few weeks. I find myself saying "just one question more" and then spending another half hour in it.

    Still needs more material to be useful to other people but it's a solid experience. I learned and memorized how to play most of the notes in the saxophone with good intonation in about a week, as a complete beginner.

  • InfluxDB

    Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.

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  • typeshare

    Discontinued Generate code in different languages from Rust type definitions for FFI interop.

  • Sure. I would love some help. I am visiting my family all March (I am typing this from the airport), so I don't know how much time I'll have to work on trane for the next month. But maybe that gives you some time to use it, and read the code and docs.

    I am not going to put my personal email here, and I don't see an option to send private messages on hn, although it's probably out there somewhere. Probably in the commits, lol. Worst case, feel free to open an issue on the trane repo.

    As a first ask, what do you think of this: https://github.com/1Password/typeshare?

    I figured writing the UI in rust is probably not a good idea. The ecosystem for UI is very immature and the language itself is probably overkill. But doing it in typescript/html/css requires you to understand the internal data structures (all the JSON files you see in the courses are just serialized rust objects).

    I found that repo and it seems like a promising approach to autogenerate the types and make the interaction easier.

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