#math-pedagogy

1 messages · Page 61 of 1

halcyon glade
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xD

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just try to be approachable and make it seem like you care about them

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#1 advice

delicate burrow
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the professor i had last year mumbled in danish all class

delicate burrow
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i have never been good on the human side of sciences

halcyon glade
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it's okay! just try to fake some confidence in yourself

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it usually helps

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fake it until you make it

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by the end of the semester you'll feel much more comfortable

delicate burrow
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if i survive hahaha

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this is good advice, thanks @halcyon glade

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anything else i should know

halcyon glade
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nah, just believe in yourself

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and if you're lucky, some other teacher will take you under their wing and give you pointers

delicate burrow
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haha i hope

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its real late here, but thanks for your pointers at least

halcyon glade
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no problem!

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hope it goes well for you

deep hawk
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What does the name of this channel mean?

cosmic ibex
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"Pedagogy" is a fancy word for "teaching".

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The channel name is deliberately a bit obscure, in an attempt to avoid it being overrun by students who are looking for a place to talk about their struggles with being on the receiving end of the teaching.

earnest trail
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ohhhh I see that's smart actually

native hemlock
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I’m struggling because I have a bad teacher.

earnest trail
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me too does anyone here know pre pre algebra

tawdry venture
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pre-pre-algebra? whatd that even be

tropic summit
lapis bone
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I just got my first job as a tutor but we didnt get any training. Do yall know of any good resources for learning how to tutor?

lapis bone
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Also, im not sure if this is the right channel to ask this, but
Is there any good GeoGebra tutorials out there? I’d like to make interactive resources but it’s a little confusing

winged urchin
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Honestly just reading along with this channel is great for more passive, drip learning ahah. I'm not personally aware of resources online to learn but I wouldn't be surprised if you could find something.

What are you tutoring for? How's it been going so far?

I really applaud your initiative to learn GeoGebra well. A good visualization software can really help especially with anything in 3 dimensions

earnest trail
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I find geogebra kinda janky to use, I prefer desmos (unless ofc you're working in 3d)

lapis bone
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I have one student i tutor for SAT prep, but later i’ll tutor for high school math courses too

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Algebra, geometry, trig, calculus

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I’ve only done one session so far where i learned what he needs help with, todays our first real session

tawdry venture
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can someone remind me whether or not the SOH-CAH-TOA mnemonic is cancelled and which mnemonic is the better one

left vault
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whats wrong with soh cah toa

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if the objective is memorisation anyway

tawdry venture
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apparently its origins are racist

left vault
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wat

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something to do with like "how native americans" sound I'm guessing

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literally wouldn't have a clue though lol

noble hare
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Wasn't there just that one teacher in America using the mnemonic in a racist way? (Probably more than just her do what she did) Don't think it has racist origins

earnest trail
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yeah im sure that there are some in the south that use it that way but overall it's fine, it's a brilliant mnemonic that I still use to remember shit

pastel horizon
pastel horizon
# tawdry venture apparently its origins are racist

The textbook I read it from when I was in school said an easy way to remember it was to imagine a ninja saying it (like one of those bad martial arts movies). I guess I can see why that would be perceived as racist but I think that's a bit harsh

tawdry venture
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it wasnt anti asian racism that i was thinking of there

pastel horizon
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Ah no idea then

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I wouldn't have thought it was anti Asian anyway I think that's just poking fun at the dodgy martial arts movies

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Anyway what else would you use to make it memorable? Any other ordering would just have similar sounds

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I suppose the other way of teaching the functions is first principles looking at the unit circle. Problem is they'd have to draw the circle out and label the triangle correctly every time just to deduce the correct function to use

deep hawk
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I know a good book but it teaches pretty advanced pre-pre-algebra (like counting up to 100)

slim reef
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I don't know if this is the right place to ask but anyone know how to balance time more effectively? I am tutoring 6 students atm and I have to spend 6hrs for each to make the resources (I am new to tutoring) then I also spend 10hrs volunteering so that's 46 hrs a week. I don't know where the other amount of time goes I always seem to be too exhausted and have no time for self study

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I don't know if it's because if the tutoring but teaching people feels like I'm sitting an exam each time

next relic
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I'm assuming you're teaching different content otherwise a solid option is use the same core content for students learning the same stuff.

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Instead of making all resources from scratch, it'd be a good idea to curate or straight up use existing resources.

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Don Steward has very good stuffs.

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If you're teaching calculus, I'd recommend UW Math 124-125-126 from Loveless.

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Batch your planning and plan several sessions at once if you determine the content, which might or might not apply to your case.

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@slim reef just givin' my 2 cents. :D

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It'd also be nice to have a list of textbooks, either at your library or your laptop, that you can draw from. Most of the textbooks I have focus on upper secondary - Years 11 and 12 in Australia, so more appropriate for Algebra 2 to Calculus II students if we are to convert to NA scale.

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I won't clutter the chat further - DM me for the list of my fave textbooks.

prisma hearth
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@strange bronze @sterile rover I’ve been doing some more research into the Russian approach of teaching Calc/analysis.
It seems that during the Soviet era they did have some specialized students learn significant real analysis before calculus. However, similar to the Canadian system that you mentioned, Namingtom it was restricted to the brightest of math students. The standard in Russia today is to teach the intuition before jumping into analysis. Even though it’s not called “calculus” it’s still effectively calculus before analysis proofs.

I found a good analogy online. Teaching real analysis before calculus is like teaching group theory before integer addition. The concrete examples of Calculus is better to start off with for the average student then the more abstract proofs of real analysis

earnest trail
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@slim reef 6 hour sessions seem excessive. I don't know if you can control it or not, but if you can, it is best to break them up into smaller sessions. however it seems that you are burning yourself out so if you can, try to just cut the time of the sessions altogether or cut the number of students you have. this is dangerous for your physical and mental well-being and you don't give yourself enough free time to do the other things you enjoy.

sour mural
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Yeah 6 hours seems like quite a bit too much imo

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Perhaps try to figure out why exactly you’re taking so long for preparation

foggy zodiac
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i would stick to just 10 minutes per day

earnest trail
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that's too little

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1-2 hours is good

native hemlock
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idk how you could even spend negative time on something tbh

sour mural
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I’d say it depends on the material and how confident you are at coming up with good examples/problems to work through on the fly

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As well as how many students you teach ofc

tropic summit
slim reef
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Thank you for the advice here. On a little unrelated note does anyone have resources, questions with answers on high school computer science questions? I'm teaching GCSE (UK exam) but there are barely any questions (one textbook with mainly knowledge and 2 past papers).

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Sorry I know this is a maths server

prisma hearth
slim reef
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Ty

next relic
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Use past papers from the previous spec if you can!

south raptor
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Who is "they"?

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@hexed hatch

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Didn't you just say it doesn't matter if it has racist origins? What was the purpose of pointing out the non-racist origins if it doesn't matter to you?

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I think it actually dilutes your point. Your statement was about things with racist origins and how it's actually ok to use them as long you're not being racist about it. The use of a mnemonic with non-racist origins is irrelevant.

sour mural
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It’d probably be better to bring up an actual example of a mnemonic or something similar with potentially racist origins instead of using SOHCAHTOA as your example

vivid bridge
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I'm new so perhaps I shouldn't throw my hat into the ring on this one, but I think the only problematic connection here is that some backwater teachers just love to use indigenous stereotypes to teach the whole SOHCAHTOA thing, here's an example:
https://www.pe.com/2021/10/21/video-shows-riverside-teacher-mimicking-native-americans-criticized-as-insensitive/

Press Enterprise
David Downey
Riverside teacher placed on leave after mimicking Native Americans ...

The instructor was seen in a video chanting “SohCahToa” repeatedly and waving her arms in a chopping motion after mentioning “tomahawks.”

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So it's not the mnemonic itself getting cancelled, it's racist teaching methods, which I think is very fair

sour mural
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Ah yeah that’d make more sense

earnest trail
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I agree with toby here

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I get what babel is trying to say but not a great execution on that one

vivid bridge
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Anyway folks; which is your preferred method for teaching trig stuff, SOHCAHTOA or the unit circle?

earnest trail
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sohcahtoa 100%

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well actually

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those are different things

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they can both be taught

vivid bridge
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I realize they both have their place but I often struggle with where to introduce the concept

earnest trail
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sohcahtoa is remembering what trig functions correspond to what operations on the triangle

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the unit circle is actually the evaluation of these trig functions

vivid bridge
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Yeah that makes sense

tawdry venture
elder venture
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I bet they remember SOHCAHTOA though.

tawdry venture
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on an unrelated note

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is there a name for the thing you do with venn diagrams in which you place numbers into regions to illustrate the coefficients with which a certain set-theoretic (or measure-theoretic) sum includes said regions?

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like this here

unknown.png
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i'm convinced i'm not the only one who does this

earnest trail
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I think of it that way and show it in a similar way when tutoring students

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not sure if it has a name but you can make one up :)

slim reef
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Like inclusion exclusion?

tawdry venture
slim reef
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Ah I understand I wasn't taught it that way my teacher used some wacky sigma notation, but that seems more intuitive for a student in school

tawdry venture
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incl-excl would be illustrating how to make all the coefficients +1

sharp yarrow
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this is the first time ive seen this method of teaching and would easily explain why you need to subtract some intersections when adding

tawdry venture
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tbh it could be viewed as a very gentle introduction to some very baby measure theory (being that probability theory and set counting stuff basically is that already)

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and that venn diagram with coefficients written in is basically a real-valued function on a not too complicated measure space, and the value represented by the diagram is the integral of said function

earnest trail
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thank you ann, very cool

wise onyx
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Indicator functions

pastel horizon
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That's pretty interesting. I usually represent it as shading in regions and then you would argue "we add the middle region once but take it away twice so the net result is...?". Numbers make it more obvious

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Shading is a great way of explaining conditional probability from Venn diagrams too. Like e.g. P(A given B). It's obvious you have to divide the intersection by the probability of B once you shade the diagram

tepid smelt
tawdry venture
pastel horizon
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Always interesting to see how other countries/cultures approach pedagogy