structures:matrix:discussion
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structures:matrix:discussion [2025/03/13 08:37] simon [Structures] |
structures:matrix:discussion [2025/03/13 09:46] (current) simon |
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| =====draft for matrices discussion===== | =====draft for matrices discussion===== | ||
| - | I've been working on presenting Matrices in a way that really extends and puts in context some ideas that are rather big in the HSC. Here I am trying to show a few of those big ideas from quite a different perspective, and I hope this really helps your thinking about them --- and your ability to apply them in problem solving!! This is growing by the hour, it has been for a few weeks, after a summer going seriously down the quantum rabbit hole and landing on matrices. They really really should be part of extension HSC, they are deeply relevant for a lot of modern physics and now even more seriously important in computing and making sense of a whole range of very current discussions. | + | I've been working on presenting Matrices in a way that really extends and puts in context some ideas that are rather big in the HSC. Here I am trying to show a few of those big ideas from quite a different perspective, and I hope this really helps your thinking about them --- and your ability to apply them in problem solving!! This is growing by the hour, it has been for a few weeks, after a summer going seriously down the quantum rabbit hole and landing on matrices. They really really should be part of extension HSC, they are deeply relevant for a lot of modern physics and now even more seriously important in computing and making sense of a whole range of very current discussions. Unfortunately the syllabus is going the other way, extension 2 is dropping content and earlier years are pushing geometry, reasoning and pure maths structural ideas to the far ends of the optional paths while dropping geometrical construction completely (which school programs had actually abandoned despite the syllabus many years ago). Suddenly a gulf is appearing between the academically oriented IB with long-form writing, languages, mathematics and science all mandatory at a level often way beyond HSC --- but only available at extremely expensive schools --- and the rest of us doing the HSC. Already 15 years ago the university courses relying on a mathematical base where being pushed back to honours or postgraduate from 1st or 2nd year. |
| Read [[#matrices|these paragraphs]] slowly and think about these perspectives on a lot of the ideas you are studying in extension HSC. Think specially about how these areas are tied together. That is a key to being able to understand and solve problems that involve the methods you have memorised and practiced in class. Solving those problems is the goal of the course, a huge part of the exam and the maths as it lives beyond the classroom. | Read [[#matrices|these paragraphs]] slowly and think about these perspectives on a lot of the ideas you are studying in extension HSC. Think specially about how these areas are tied together. That is a key to being able to understand and solve problems that involve the methods you have memorised and practiced in class. Solving those problems is the goal of the course, a huge part of the exam and the maths as it lives beyond the classroom. | ||
structures/matrix/discussion.txt ยท Last modified: 2025/03/13 09:46 by simon
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