sup guysmy daughter has to make a 20 minutes oralpresentation about maths as her final high school exam and she asked me for some fun ideas but since I'm a retard I'm asking you(her physics presentation will be about molecular cuisine)
>>16537266why did you start a new line after the word "oral" ?!To answer your questions, I say Tessellation (tiling) is an interesting topic
>>16537266The Cohomology of Moduli Spaces of High-Genus Algebraic Curves and Its Applications to Mirror Symmetry and String Theory.
>>16537303my keyboard is all fucked up so I need to copy and paste a lotthanks for the input
>>16537266What level of maths?Outside of maths, what does she enjoy?
>>16537306>The Cohomology of Moduli Spaces of High-Genus Algebraic Curves and Its Applications to Mirror Symmetry and String Theory.is this accessible at high school level?
>>16537330There are 12 year olds that can easily handle this.
>>16537327>What level of maths?high school level with a focus on physics and maths but she will maybe specialize into computer science later onshe's quite a bright student in an average high school>Outside of maths, what does she enjoy?cooking, dancing, fashion, return of the jedi and peppa pig lol
>>16537334cool!what is it about?seems a bit pompous desu
>>16537338>high school levelThis could be anything from basic algebra to two years of calculus. Can we assume she's had calculus and physics with calculus or not?
>>16537266Do Keplerian orbits. There's some cool linear algebra there that would be accessible to (I'm assuming) a high school audience. If she knows how to code, she can do an interactive numerical simulation. It would be a nice add to her GitHub too.
>>16537338Chatgpt suggests (Part 1):Here are some fun and engaging presentation topics that combine mathematics and physics with the interests of a teenage girl who enjoys cooking, dancing, fashion, Star Wars, and Peppa Pig:1. The Physics of Dance: Understanding Motion and BalanceTopic Overview: Discuss how physics plays a role in dancing. Topics could include angular momentum, balance, the physics of jumps and spins, and how dancers control their bodies. This could also touch on how dancers can use mathematical concepts (like calculus) to optimize their movements.Mathematics Connection: You could explore the mathematical models behind the forces involved in spinning, such as angular velocity and the conservation of angular momentum, as well as calculus in the context of curves and motion in dance choreography.2. Cooking with Chemistry: The Math of Recipes and ProportionsTopic Overview: Explore how chemistry and mathematics come together in cooking. Topics could include how to scale recipes, the use of ratios and proportions, and the math behind perfect baking (e.g., understanding the rate of change in temperature and time). You can also discuss how different ingredients react with each other.Mathematics Connection: Use calculus to explain rates of change in cooking temperatures or how ingredients interact over time (e.g., the rate of dough rising or the cooling process of a dish).3. Fashion and Geometry: The Shapes Behind Fashion DesignTopic Overview: Explore how geometry plays a key role in fashion design. You can talk about how patterns are created and used to make clothes, the geometry behind different types of garments, and how clothing designs fit human bodies.Mathematics Connection: Discuss the use of symmetry, geometry, and calculus in creating patterns and ensuring perfect fits for different body shapes. You could explore the surface area and volume of fabrics and how they change when manipulated.
>>16537356Chatgpt suggests (Part 2):4. Star Wars and Space: Calculating Star Distances and Black HolesTopic Overview: Introduce some real-world physics based on Star Wars. You could discuss how the distance between planets or stars is calculated, the physics of lightsabers (e.g., how energy might be measured in a lightsaber), or how black holes work and relate it to Star Wars events.Mathematics Connection: Use calculus to explain how gravity works near black holes, or you could explain the concept of light years and the speed of light mathematically, incorporating some fun Star Wars examples.5. Peppa Pig and the Physics of Play: Forces and Motion in Childhood FunTopic Overview: Use Peppa Pig's playground adventures to explain basic principles of physics, like gravity, motion, and forces. You can create scenarios where Peppa and her friends use physics without knowing it, such as swinging on swings, sliding down slides, or playing in a bouncy castle.Mathematics Connection: Introduce simple concepts like the equations of motion, gravitational forces, or how the speed of Peppa’s slide can be modeled using calculus and velocity functions.6. The Geometry of Star Wars Ships: Exploring the Millennium FalconTopic Overview: Explore how the design of Star Wars ships like the Millennium Falcon or TIE fighters could be interpreted using geometry and physics. Discuss their structure, aerodynamics, and how they might have been engineered for space travel.Mathematics Connection: Use geometric shapes to explain their designs and how the flight paths of spaceships could be modeled mathematically using calculus (e.g., calculating trajectories or speeds in space).
>>16537266Could also recreate logos via piecewise Taylor series, talk about Fourier series in sound reproduction, present on quantum computation
>>16537359Chatgpt suggests (Part 3):7. The Math of Baking: The Chemistry of Rising DoughTopic Overview: Dive into how baking soda and yeast work in recipes, and how you can model the rise of dough over time using exponential growth functions. Discuss the chemistry of the baking process, such as how the heat affects the molecules of dough and how mathematical models can predict cooking times.Mathematics Connection: Explore exponential functions and use calculus to explain how dough rises over time, using rates of change to predict how long it will take for dough to double in size.8. The Math of Dance Choreography: Creating Balanced MovesTopic Overview: Look at how professional dancers choreograph routines using symmetry and balance. You could show how choreographers use geometric patterns, angles, and motion paths to create dynamic performances.Mathematics Connection: Use vectors and calculus to analyze the paths dancers take across the stage, the timing of each movement, and how these movements can be optimized or repeated in specific patterns.9. How Math Helps Make Fashion More Comfortable: Clothing Fit and DesignTopic Overview: Discuss the geometry of how clothes are designed to fit the human body. Explain how designers use measurements, patterns, and sewing techniques that incorporate both mathematics and anatomy.Mathematics Connection: Use geometry and trigonometry to show how clothing is fitted to different body types. You can also apply calculus concepts to optimize fabric usage and minimize waste when designing clothing patterns.
>>16537356>>16537359>>16537362All slop. To be expected from GPT.
>>16537365Troll threads get troll responses.
>>16537266Liquid nitrogen
>>16537368>The Maths of Liquid NitrogenKek.
>>16537266>fun ideas but since I'm a retard I'm asking youAs a first time "remote tutor" for programming, I managed to get my squad of 4-5 zoomies give their undivided attention during this ~15 min. intro about "Technologies that got us here"I was excited to explain it all, and had some cool graphics.I genuinely put this all together in a panic maybe ~40 mins before I was due to teach(this was before I sought treatment for stuff that made me zoned out all the time), but it's something I've spent time thinking about beforethat really connected with them, enough that they asked for the slides after.maybe she can give a brief history of the major "problems" that humans encountered and how they were solved with math? it's interesting stuff
>>16537370spread the curiosity, we don't need to know everything by ourselves or have minmaxed credentials to be an inspiring leader. most my students have been sharper than me, but to give myself credit I do enjoy thinking profoundly about many thingsgoodluck :)
>>16537350>Can we assume she's had calculus and physics with calculus or not?not sure about that but I'd say yes
>>16537373here's one that leaves me thinking about nothing in particular:-exponents were "understood" or whatever for centuries/millennia..but once some people started thinking about them through the worldview of functions, they were able to enhance this existing tool of exponents and come up with an easier way to talk about and calculate their inverse function, the Logarithm. wonder what that next paradigm is for tools we already have-uhh how about how lucky we are that (if I understand correctly) we can represent 3D shapes in 2D mathematical tools without losing any information...what's that about?-what are Normal numbers, maybe you can fill 20 mins talking about the different types of numbers and how they [probably] came about to solve practical problems or how they were independently "discovered" across distinct culturesbut i digress
>>16537380bad cropim out
>>16537355>Keplerian orbitsthat's a good ideamaybe she could talk about the maths behind the Aldrin cycler or something
>>16537361thanks but I have no idea what this means lol
>>16537365>>16537367I think there are a few good ideas there even if they obviously need refining
>>16537370>>16537373>>16537380>>16537382thanks for the input teacher anongodspeed
>>16537350ok I cheked and here is her program>sequences>complex numbers>limit of function>logarythm>probability (density 1&2)>integral>antiderivative>scalar product
>>16537416A lot of topics covered in an intro analysis textbook that are real-world applicable and build off of these without many intermediate steps. Depending on how long she has until the presentation, I'd say this anon's ideas are cool>>16537361These are just numerical approximation methods you can use to extract functions that are arbitrarily close to a given shape.She should be able to learn this at her level and they're essential tools to any quantitative study in her future.Like, you could approximate a bunch of functions that, when plotted together, show the NASA worm or the Spotify icon, or talk about how you can decompose a sound by frequency (https://rsokl.github.io/CogWeb/Audio/fourier_analysis.html). Quantum computation could be cool if she's done probability density and complex numbers in the course. Even just things like examples of correspondence (between classical and quantum mechanics) principles, where models for small (quantum) systems, when scaled up, become very close to our macroscale classical models. Lots that can be done that's unique and appropriately advanced.
>>16537432thanks a lot anon
>>16537416i'd do a linear algebra application, since HS lin alg had no applications given, and it is hands down the most useful math for science and engineering.looking at this list, i see scalar product, complex numbers, and integralsshe could show how in geometry you can use an orthonormal basis to expand a vector intaking the fundamental concepts there, you could motivate fourier analysis using the exact same concepts and show how an arbitrary function can be expanded in such a basis. that would be sufficient to blow some minds.another idea is to talk about different types of infinities, those being countable and uncountable. while a diagonalization argument would likely be very new to her, it would also be something that would only take a handful of minutes to explain and would, likewise, blow HS minds.another idea is to use linear algebra to describe how to rotate, translate, and scale lots of coordinates all at once, which is precisely what is done with computer graphics, and is incredibly useful in science and engineering. developing the matrices is simple and showing how you can compose them by multiplying them would again, make HS minds explode.even more programming oriented, she could talk about cellular automata, and make some really cool figures.thinking of that how about computing the Mandlebrot set? i did that in HS, and that involves recursive functions on complex spaces and produces beautiful pictures.i could come up with more, or fill out details on what i mean if one of these interests her
>>16537266Using algebra to estimate time of arrival or the area of real estate. If she's interested in computers, how to cheat equations with many variables using matrices and how matrices are used to create pixelated images.
>>16537266The birthday paradoxProbabilityhttps://www.youtube.com/watch?v=XeSu9fBJ2sIhttps://www.youtube.com/watch?v=1tSqSMOyNFEhttps://www.youtube.com/watch?v=R13BD8qKeTghttps://www.youtube.com/watch?v=lG4VkPoG3ko&t=38s&pp=ygURM2JsdWUxYnJvd24gYmF5ZXM%3D
>>16537325A cheap keyboard is like $5 you subhuman
>>16538073it's for my digital detox lol
>>16538088Picrel is true. I leave my phone home a lot of the time too.
>>16537984>>16537985>>16538049thank you guysI'll come back to the thread this week end if it's still up
Two words: metric spaces. Thread over.
>>16540214boring af desu
>>16537266>oral
