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Calculus is a critical on-ramp to careers in science, technology, engineering and mathematics (STEM). Good news: There's mounting evidence that changing calculus instruction works for the groups usually pushed out of STEM. That the traditional lecture method of teaching calculus isn’t as effective as active models.
Math professor Martin Weissman is rethinking how his university teaches calculus. Some educators place a share of the blame on calculus courses, which can push out otherwise interested students. Meanwhile, the calculus instruction has to be slowed down enough that it’s not as effective for math people as it could be. “I
Most are about five minutes (some longer, some shorter) and cover topics like chemistry, physics, calculus, geometry, biology, Algebra, trigonometry, grammar, ACT prep, and SAT prep. ” Kudos to their ability to achieve that goal. Futures Channel.
This meant I was consistently rewarded at school for putting my head down and striving to be a “good student” and “high achiever,” but never for challenging authority or speaking up when something was wrong. When Whitney Aragaki, a high school biology and environmental science teacher in Hawaii, hears “What kind of Asian are you?”,
It’s a new paradigm—that actually seems to unlock things not only in fundamental physics, but also in the foundations of mathematics and computer science , and possibly in areas like biology and economics too. Even after everything our civilization has achieved, we’re just at the very, very beginning of exploring rulial space.
The fall of 2021 involved really leaning into the new multicomputational paradigm , among other things giving a long list of where it might apply : metamathematics, chemistry, molecular biology, evolutionary biology, neuroscience, immunology, linguistics, economics, machine learning, distributed computing.
Here are STEM courses offered: Making art with Robots Linux and open source software Introduction to Programming in OCaml Better Coding with Vim: Intro to Keybinds and Configuration Web Development Crash Course Tales of the Americas through biology and genetics It’s Not Rocket Science (Wait, Yes It Is!) Digging Deeper: 4.65
So many discoveries, so many inventions, so much achieved, so much learned. And key to everything we do is leveraging what we have already done—often taking what in earlier years was a pinnacle of technical achievement, and now using it as a routine building block to reach a level that could barely even be imagined before.
FIELD OF RESEARCH: History and Philosophy of Biology. Charles focuses on the philosophy of one specific branch of science: biology. The philosophy of biology contemplates questions surrounding evolution, genetics, life and, more recently, humanity’s impact on the natural world. WHAT ARE YOUR PROUDEST CAREER ACHIEVEMENTS SO FAR?
But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. There’s a discussion about H for systems that interact, and how there’s an equilibrium value achieved. It’s exciting now, of course, to be able to use the latest 21st-century ideas to take another step.
They should also explore various branches of science such as biology, chemistry, physics, and earth sciences. Students should be taught mathematical concepts such as algebra, geometry, statistics, and calculus. Her students became more engaged and enthusiastic about STEM subjects, leading to higher achievement levels overall.
It’s not obvious that it would be feasible to find the path of the steepest descent on the “weight landscape” But calculus comes to the rescue. It turns out that the chain rule of calculus in effect lets us “unravel” the operations done by successive layers in the neural net.
Indeed, the Zeroth Law of thermodynamics is essentially the statement that “statistically unique” equilibrium can be achieved, which in terms of energy becomes a statement that there is a unique notion of temperature. How do we achieve this? But is it “achieving measurement” or not? There’s a bit more to say about this, though.
Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. Chemistry / Molecular Biology. But in thinking about molecular computing it may be crucial—and perhaps it’s also necessary for understanding molecular biology. There are many.
The global structures of metamathematics , economics , linguistics and evolutionary biology seem likely to provide examples—and in each case we can expect that at the core is the ruliad, with its unique structure. But what about other models of computation—like cellular automata or register machines or lambda calculus?
Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. Chemistry / Molecular Biology. But in thinking about molecular computing it may be crucial—and perhaps it’s also necessary for understanding molecular biology. There are many.
You can receive or help someone else a achieve a head start in this field by obtaining industry certification , even high school students. If you are still in school, consider specializing and perfecting your abilities in math topics like calculus, probability, experimental design, and more.
You can receive or help someone else a achieve a head start in this field by obtaining industry certification , even high school students. If you are still in school, consider specializing and perfecting your abilities in math topics like calculus, probability, experimental design, and more.
You can receive or help someone else a achieve a head start in this field by obtaining industry certification , even high school students. If you are still in school, consider specializing and perfecting your abilities in math topics like calculus, probability, experimental design, and more.
But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. For three centuries theoretical models had been based on the fairly narrow set of constructs provided by mathematical equations, and particularly calculus. I began to think it was at least a big part of it.
And in what follows we’ll see the great power that arises from using this to combine the achievements and intuitions of physics and mathematics—and how this lets us think about new “general laws of mathematics”, and view the ultimate foundations of mathematics in a different light. 3 | The Metamodeling of Axiomatic Mathematics.
It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus). But I think at least in the later part of his life, Ed felt his greatest achievements related to cellular automata and in particular his idea that the universe is a giant cellular automaton.
And for the past four years I’ve been sharing the “behind the scenes” of how it’s achieved—by livestreaming our Wolfram Language design review meetings. And that’s finally been achieved in Version 13.1. Now we can use the path function to make a “spiralling” tour video: College Calculus. In designing Version 13.1 ✕.
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