@KarenCampe@mathstodon.xyz
@KarenCampe@mathstodon.xyz avatar

KarenCampe

@KarenCampe@mathstodon.xyz

Math teacher using technology for understanding • Connecticut USA
Reflections & Tangents blog: https://karendcampe.wordpress.com
#MTBoS #iTeachMath #T3Learns

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KarenCampe, to random
@KarenCampe@mathstodon.xyz avatar

Happy SEVENS day (7-14! Or 14-7 for those who use DDMM) and here's my 2021 post celebrating Super Sevens!

(Recent updates include heptagon images from the amazing Hannah Murray @MurrayH83 using 21st century pattern blocks)

https://karendcampe.wordpress.com/2021/07/14/super-sevens/

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@ColinTheMathmo Indeed it is!! Wow, I hadn't noticed that earlier. I will edit the post!

DavidKButler, to random
@DavidKButler@mathstodon.xyz avatar

I’ve always hated the name “proof without words” because they don’t contain the actual reasoning that makes them proofs. You have to fill in a key part of that yourself. I reckon they should be called “puzzle proofs”.

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@ColinTheMathmo @DavidKButler
Colin you've hit the point exactly : a proof without words works if the reader has EXPERIENCE enough to understand.
So, as a HS geometry teacher, I've found that many proofs w/out words are not so useful for my students who are pretty novice at reading/ constructing/ understanding proofs.

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@samjshah @ColinTheMathmo @DavidKButler
I have more thoughts, will post later!

christianp, to random
@christianp@mathstodon.xyz avatar

I had a really nice time this morning giving a "maths subject taster session" for some year 12 kids from the school I grew up next to.

We were in the learning lab, so each table had a big PC they could use to play my interactive games.

I did @DavidKButler's Digit Disguises (https://blogs.adelaide.edu.au/maths-learning/2019/09/21/digit-disguises/) and then moved the quicker groups on to my implementation of David's number dress-up party (https://number-party.glitch.me/).

Next, we played "This island is big enough for the both of us" (https://somethingorotherwhatever.com/this-island-is-big-enough/), which they all really got into.

Then I showed them hexaflexagons, using my new template (https://somethingorotherwhatever.com/hexaflexagon/).

Finally, I gave them a few minutes on the "is this prime?" game to end on a high. (https://isthisprime.com/game/)

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@DavidKButler @christianp
It was my first introduction to Star Battle puzzles!

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@christianp @DavidKButler
Printable ones at Krazydad.com

openculture, to random
@openculture@toot.community avatar

"Tsundoku," the Japanese Word for the New Books That Pile Up on Our Shelves, Should Enter the English Language

https://www.openculture.com/2018/07/tsundoku.html

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@openculture

^^^ @druinok this is me, I'm afraid...😂
I've gotten much better at using library books in recent years...

ColinTheMathmo, to random
@ColinTheMathmo@mathstodon.xyz avatar

@Stacidombrowski Welcome !!

To start getting connected you need to search for hashtags. If you're into or the you also want to search for and ...

Good luck!

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@ColinTheMathmo @Stacidombrowski
and also

ColinTheMathmo, to random
@ColinTheMathmo@mathstodon.xyz avatar

A question for the #MtBoS community ...

At what age do students meet sine and cosine?

Do you use distances on a Unit Circle, or some other definition?

Thanks ... if you're happy to do so, please boost for reach.

Extra hashtags for searching ...

#MathEd #MathsEd #Trig #Trigonometry

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@ColinTheMathmo students in US generally encounter sine & cosine in geometry class during 9th or 10th grade. They are introduced as ratios of sides in right triangles (along with tangent).
No graphing of trig functions or unit circle til much later, usually PreCalculus (2 years later).
Some schools introduce unit circle and radian measure earlier than Precalc, the smoothest way to create unit circle IMO is to build it from special right triangles (30-60-90 & 45-45-90). Radian measure is usually really confusing to Ss , they often memorize the conversion "180° = pi radians" without really grasping what it's all about.

#ClassroomMath #MathEd #trigonometry #MTBoS #iTeachMath

KarenCampe, to random
@KarenCampe@mathstodon.xyz avatar

A wonderful explanation from Grant Sanderson 3Bue1Brown about the divided circle problem & the reasoning WHY there are 31 regions with 6 points (not 32 as pattern might suggest).

https://youtu.be/YtkIWDE36qU

I'm really excited because I've never seen this explained before & the connections are wonderful! (I've only ever seen it as an example of not assuming patterns continue with only inductive reasoning evidence... I think HS math Ss can grasp this by algebra 2...)

MrCorleyMath, to random

So @desmosclassroom and @desmos are here. Nice!

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@MrCorleyMath @druinok Yeah, I don't think birdsite.wilde.cloud are actual mastodon accounts

ablinstein, to random

@samjshah is there an easy way to add GIFs on the normal Mastodon iOS app? Every time I try, it just adds as a static image.

Not sure I can use a social media platform without GIFs 😬

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@ablinstein @samjshah
Paging @ColinTheMathmo & @christianp, can you help with GIFs?
^^^ see above

benleis, to random
@benleis@mathstodon.xyz avatar

There still isn't a robust puzzle posing community here yet but I have hopes.

I'm going to post a few recent bookmarks I had just in case I can't get to them long term.

[@dmgr_2318]

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@christianp @benleis
I got started, with thinking that OM is the radius of circle O and also the geometric mean of the pieces of the diameter of circle P.
What do you think of that?

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@christianp @benleis
The geometric mean of a and b is the number x such that (x= \sqrt{ab} )
Or ( \frac{a}{x}=\frac{x}{b} )
Geometrically, it's the altitude from the right angle to the hypotenuse of a right triangle. (Can prove with similar triangles)
But.... that's as far as I got.

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@christianp @benleis

Right, but which one? I drew several and got all muddled. I think I need to do it on paper instead of on my phone 😂

christianp, to random
@christianp@mathstodon.xyz avatar

I appreciate it's frustrating that the site is slow, but telling me it's still slow won't make me fix it any quicker and won't help my stress level

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@ColinTheMathmo @christianp
Thanks for all you do to keep this community going!!
Now is a good time to remind users that there is a way to support your hard work.
Can you please post the donation link again to defray costs and financially support Mathstodon?

christianp, to random
@christianp@mathstodon.xyz avatar

I poked myself in the eye with my glasses earlier () and can't reeally open my eyes. 111 said just stay at home, so I'm stuck basically immobile.
Good job I spent some time last week learning how to use BoiceOver on the work macbook. I've managed to log in and mathstodon was open, so heres a toot

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

@christianp Corneal abrasions are the worst, one of my kids had 3 within a 12 month period around age 6... ☹️
Hope you feel better soon.

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