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Don't force your kids to do math

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Re: Don't force your kids to do math

#411

Earlier quoted context omitted.

This is like trying to change English or arguing that we should all speak Esperanto. Mathematical notation isn't the way it is to save ink or make it look difficult. It's that way because it works. Notation isn't set by committee, it's just a way of communication that works. If you read cutting edge research you'll find notations being invented all over the place. Most of them will never go anywhere, some will become…

I think this is a very limited take for a hacker forum. We talk about how useful accurate names for variables are all the time, or generally how working to encode more natural/context-related semantics to code helps anyone reading it understand what the goal is better than an extremely terse symbology. Yeah, lots of existing math texts will forever exist with greek alphabet soup, but we don't have to rely on those as…

imagining that alpha is what stops people from being good at math is a useless take. why pretend that such a low bar could prevent anyone from understanding? its some fake generosity towards "newcomers" that is completely unwarranted. math notation is by and for professional mathematicians.

are you really saying that "let function(argument has type RealNumber) has type RealNumber be a function from a real number argument to a real number" is somehow superior to "let f(x) : R->R"

Re: Don't force your kids to do math

#412
post #408

Earlier quoted context omitted.

And if the parent cannot find a single way to prevent the constant use of the screens beyond simply packing the day with activities, that says more about the parent than the kid. If the only way a teenager knows how to make good choices is through outright avoidance of situations where a poor choice might arise, then they don't know how to make good choices.

Do you have kids? Lots of assumptions from someone who doesn’t seem to be a parent.

I have three kids (19, 13, 11) and I agree with them completely.

My son at 19 is building websites for companies, still deep into manga and video games but is started to get out more with the gym. He still lives with us, but essentially has his own life and seems to be doing well.

My 13 year old daughter is the one who loves to try everything. She's in dance, show choir, volley ball, tennis, violin, clarinet, etc. She even signs up for college for kids classes over the summer. All self motivated. Just yesterday her and her friends walked about 5 miles around town to different stores. She has her own phone.

My 11 year old is the smartest of the bunch. She has an amazing vocabulary and reading has always seemed to be "natural" for her. She's straining my policy of buying my children any books they want. She's bored of the advanced learning classes she's been put in. She also plays tennis and flute and cello. She learns her own crafts and sciency projects to try at home from TikTok. She will likely get a phone this year, but has an iPad.

All of them have had practically unlimited screen time since they were double digit ages. They are on TikTok and YouTube and SnapChat. They just have many other interests as well and it doesn't consume their lives. They manage their own bedtimes (within reason) and are responsible for getting themselves up and ready in the morning.

The only times we've forced them into activities is when they were too young to make those sorts of decisions for themselves. So all of my kids played soccer while young until they could suggest an alternative activity they would rather do more. They all started in music, until they could find other creative alternatives. None of them are screen zombies that so many HN posters swear is inevitable without banning things. I'm not sure where the panic is coming from, but leave me and my children out of it.

Re: Don't force your kids to do math

#413

Earlier quoted context omitted.

"Keeping teens away from screens"? And why are there screens? Sugar is addictive. One would not necessarily expect a teen to healthily control their sugar intake; accordingly, we don't put bowls of candy around the house, and if we did we certainly wouldn't be shocked when they emptied themselves, and then thrown up our hands and said "can't keep kids from candy, what can you do?". Our kids aren't teens yet, but the…

Good luck with that. Please report back on how it goes.

Went fine. Quite happy with how my children are turning out. We don't even limit screen time anymore. They seem to have developed healthy habits and boundaries.

Re: Don't force your kids to do math

#414

Very poor take. The author clearly has very limited experience with raising kids. Most kids won't do difficult things if you don't push them. Playing music, learning to spell correctly, doing mathematics, and so on. A very small minority of kids will do all of that easily and for the fun, but you can't rely on it. If you don't push your kid to do their 20 minutes of piano every day, they will half-ass it and will sto…

This kind of forced practice can create the appearance of a certain level of competence, but it rarely produces a deep understanding or innate appreciation of any of those subjects. Take music, for example. Many high schoolers play an instrument as part of the college admissions game. Almost none of those kids can play music with their friends and just enjoy it. To them music is this structured activity where they ge…

This is one of the reasons I'm really happy that my daughter found show choir. Choir sucks. My kids hated it. I hated going to watch it. Bunch of terrible old songs that no one knows. Now she's singing and dancing to pop songs and show tunes on the stage and it's far more engaging for her. I do think it also helps that show choir is a tryout based program so the floor for interest and talent is far higher than with the regular choir.

Re: Don't force your kids to do math

#415

Earlier quoted context omitted.

This is like trying to change English or arguing that we should all speak Esperanto. Mathematical notation isn't the way it is to save ink or make it look difficult. It's that way because it works. Notation isn't set by committee, it's just a way of communication that works. If you read cutting edge research you'll find notations being invented all over the place. Most of them will never go anywhere, some will become…

I think this is a very limited take for a hacker forum. We talk about how useful accurate names for variables are all the time, or generally how working to encode more natural/context-related semantics to code helps anyone reading it understand what the goal is better than an extremely terse symbology. Yeah, lots of existing math texts will forever exist with greek alphabet soup, but we don't have to rely on those as…

Math doesn't start on hard mode. Students spend years studying how numbers behave before doing symbolic math. That said, trying to cover the topics symbolic math does with a more verbose language would just make it into impossible mode. It'd be like trying to replace sheet music with words.

In fact the analogy to music notation is I think a fairly strong one. People's complaints always sound to me like asking why we don't write "C3 sixteenth note" for music instead of using dots and lines. After all, how are we meant to know what the dots mean and remember the difference between an eighth and sixteenth, or what flats/sharps do? And then the key signature can modify all of it!

The notation just isn't a barrier. Once you learn to read it, it's there because it's a clearer way to write the ideas. The hard part for people is they don't understand the ideas, and don't have the frameworks like key signatures, chord progressions, and meter to place them within. Longer words for variables won't help people understand e.g. inner and outer regular measures, or the open cover definition of compactness. That comes from a lot of work to understand what you're trying to say, the pitfalls of saying it wrong, and precisely how your slightly different way of saying it avoids those pitfalls (or selects the best set of pitfalls if you must pick some kind of degenerate behavior).

Re: Don't force your kids to do math

#416

Earlier quoted context omitted.

I think this is a very limited take for a hacker forum. We talk about how useful accurate names for variables are all the time, or generally how working to encode more natural/context-related semantics to code helps anyone reading it understand what the goal is better than an extremely terse symbology. Yeah, lots of existing math texts will forever exist with greek alphabet soup, but we don't have to rely on those as…

imagining that alpha is what stops people from being good at math is a useless take. why pretend that such a low bar could prevent anyone from understanding? its some fake generosity towards "newcomers" that is completely unwarranted. math notation is by and for professional mathematicians. are you really saying that "let function(argument has type RealNumber) has type RealNumber be a function from a real number argu…

> why pretend that such a low bar could prevent anyone from understanding?

I don't know why this is a startling take. If you encode your ideas in an unfamilar symbology, of course that's going to make it more difficult for someone who isn't familiar with the space.

I'm not arguing that we should teach real analysis this way, or any other high level math class. I'm only contesting GP's comment that there is NO value to be had in using more familiar language to explain a new concept to an unfamiliar audience.

This is the entire reasoning behind "word problems" at the elementary level; they're meant to ground the abstract modeling of a math problem (193 - 3 * 12 = ?) into something more intuitive for a child to understand (If you start with 193 eggs, and you take three dozen away to bake a cake, how many are left?)

> are you really saying that "let function(argument has type RealNumber) has type RealNumber be a function from a real number argument to a real number" is somehow superior to "let f(x) : R->R"

No, I'm saying the there's tradeoffs on either side, and our educators ought to be aware of this.

> math notation is by and for professional mathematicians.

I agree, but we teach math to plenty of people who aren't professional mathematicians. I wouldn't want to do formal abstract algebra proofs in a more verbose form, I'm perfectly happy using the domain notation, but my friends from biological sciences who have to take a calculus course now have to learn both a new symbology alongside the problem domain. I've watched enough of my (clearly intelligent) biology friends slam face first into calculus and spin out. They're not dumb, they can do circles around me when it comes to chemistry, yet they Just Can't wrap their heads around calculus-style math, which leads me to wonder what the difference is between how we teach complex chemistry vs complex math. Questioning the pedagogy is a fairly logical extension of that.

Re: Don't force your kids to do math

#417

Earlier quoted context omitted.

I think this is a very limited take for a hacker forum. We talk about how useful accurate names for variables are all the time, or generally how working to encode more natural/context-related semantics to code helps anyone reading it understand what the goal is better than an extremely terse symbology. Yeah, lots of existing math texts will forever exist with greek alphabet soup, but we don't have to rely on those as…

Math doesn't start on hard mode. Students spend years studying how numbers behave before doing symbolic math. That said, trying to cover the topics symbolic math does with a more verbose language would just make it into impossible mode. It'd be like trying to replace sheet music with words. In fact the analogy to music notation is I think a fairly strong one. People's complaints always sound to me like asking why we…

I hadn't thought of sheet music in this context before; that's a helpful counter-example, thanks.

Broadly I agree; the semantic density of domain-specific language is often required to operate well in that domain. I disagree some with the "Math doesn't start on hard mode," but I think that's just bikeshedding at some level.

The endemic "I just don't understand math" that my (American) peers have espoused, to me, points to a failure in our (American, public school) instruction practices around it.

Re: Don't force your kids to do math

#418

Very poor take. The author clearly has very limited experience with raising kids. Most kids won't do difficult things if you don't push them. Playing music, learning to spell correctly, doing mathematics, and so on. A very small minority of kids will do all of that easily and for the fun, but you can't rely on it. If you don't push your kid to do their 20 minutes of piano every day, they will half-ass it and will sto…

Every kid that I know who was forced to do their 20 minutes of piano a day now doesn't play piano and can only play with sheet music in front of them. They can't improvise, they seem to take no joy in the music.

I was the kid who wanted a keyboard and guitar but didn't get one until I could afford one in my twenties, then I learned just enough to be able to be creative. People say I'm good at piano but technically I suck, I'm just creative and expressive with limited tools.

It's an interesting phenomenon, the adults who are technically great at piano, but can't play anything without it being written in sheet music.

Re: Don't force your kids to do math

#419
There is no template for how to raise kids. Expose them to as many things as you can, figure out what interests them and feed it. Keep doing this as they grow up because they change as they grow up.

The same can be said of music, art, sports and a zillion other things.

Re: Don't force your kids to do math

#420

Earlier quoted context omitted.

why does a child need to break through a plateau at anything? Of my five sample size of five, expose them and support them, some things can’t even hook you until your brain grows enough .. The musical one is in a band now the nerdy one likes inhaling solder. I did force both boys to Hockey but just to have passable skills so that he can enjoy that all that comes with the sport as an adult

> why does a child need to break through a plateau at anything? Exactly! Why? The few things I do better than most people are things I've stayed engaged with during those plateaus because I wanted to, not because someone else told me I should or that it was important. The people who respond positively to being forced into things generally end up not knowing who _they_ are, and end up generally unwell people.

I feel false dichotomy here - you assume helping child to go through plateau must be forced.

It doesn’t have to be and some people need a little bit of help - you didn’t and that’s great.

Conversely there will be kids that need to be forced or nothing good will come out of them - there will be kids that should be left alone because pushing them will just break whatever they should be doing.

It is delicate balance and difficult choices - but there is no white and black here that will be right for everyone.

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