9 Matching Annotations
  1. Jun 2022
    1. Joseph Campbell did. He studied myths from all over the world and published a book called "The Hero with a Thousand Faces," retelling dozens of stories and explaining how each represents the mono-myth, or Hero's Journey. So, what is the "hero's journey"? Think of it as a cycle. The journey begins and ends in a hero's ordinary world, but the quest passes through an unfamiliar, special world. Along the way, there are some key events. Think about your favorite book or movie. Does it follow this pattern? 


  2. Mar 2022
    1. Other factors in the plateau effect could be that an early lack of word meaning would mean readers could fail to capitalize on a sufficient depth and breadth of words to thus sustain growth in reading; a lack of fluency and automaticity (that is, quick and accurate recognition of words and phrases) may hamper growth beyond first learning to read; and that schooling in these upper years has less emphasis on decoding and inference and more on reading of expository tests. Also, previously “unim-portant” reading difficulties may appear for the first time in Grade 5 when children encounter informational materials and multiple text types that require more inference, comprehension, vocabulary of less frequent words, connections, and understanding (Snow, Burns, & Griffin, 1998).

      A few factors that cause the plateau effect among Grade 6 to 8 students

  3. Feb 2022
    1. The computational and conceptual simplicity of this derivation actually renders it unnecessary to memorize any formula at all, even for general coefficients of x2superscript𝑥2x^{2}italic_x start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT. The proof naturally transforms into a method, and students can execute its logical steps instead of plugging numbers into a formula that they do not fully understand. Consider, for example, the following quadratic:

      Best way to annotate ar5iv is via Hypothe.is.

    1. Fig. 1. We apply a neural network trained on text and fine-tuned on code (Codex) to solve mathematics problems. Our input math problems are taken from MIT and ColumbiaUniversity courses and from the MATH dataset (left). We process these questions in order to obtain useful results, and pass them as input to Codex, turning questionsinto programs (center). The output of running the programs take diverse forms depending on the questions, for example numerical responses, or plots generated from textby program synthesis (right). For example, in Calculus 18.01-2: the volume generated by rotating, about the plotted axis, the finite 2-dimensional region bounded by two2-dimensional graphs (top right); In Differential Equations 18.03: the Lorenz strange attractor (bottom right); In Linear Algebra 18.06: the geometry of the singular valuedecomposition (SVD) (bottom right)

      The output of the problems take diverse forms from numerical responses to plots generated from answers.

    2. We provide the first demonstration that a neural network solvesuniversity-level mathematics problems. Our methods combinetwo innovations: (i) recent neural networks pre-trained on textand fine-tuned on code, rather than pre-trained on text alone,and (ii) novel techniques to automatically rephrase problems soneural networks can synthesize correct executable programs.We generate programs that perfectly solve a random sampleof problems from MIT mathematics courses including Singleand Multi-variable Calculus, Differential Equations, Probabilityand Statistics, Linear Algebra, and Mathematics for ComputerScience, as well as problems in the MATH benchmark of highschool math topics. Our methods also generate new questionsthat are indistinguishable by students from course questions.Implications for higher education include new roles of AI inautomatic course evaluation and content generation.

      A neural network solves university-level mathematics problems (questions from MIT math courses).

    1. Therefore, for first-time Algebra learners, the only new leap of insight is that if two numbers have a fixed sum, then they can be parameterized by their average, plus or minus a common unknown amount. In the modern day, that same parameterization appears as a useful trick for mentally calculating products via the difference of squares

      This idea is similar to Vedic maths.

  4. Feb 2021
    1. Learning more about the composition of Mars can help scientists better understand the planet's history and help lay the groundwork for future human missions to the neighboring planet.

      This is how one can annotate using Hypothes.is extension.

  5. Jan 2021
    1. Just because you oppose extremism doesn't make you an extremist? Right? I was a data warehouse maximum.

      I see... I can annotate transcripts generated by Otter via Hypothesis.

    1. Now you have the extension up and running. It's time to start annotating some documents.

      This is the first annotation using hypothes.is.