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Here is a sudoku I made for the Fall MAA NJ-Section meeting last weekend, and now I want to share it here. The instructions explain everything needed but more details, a PDF, and the solution are on my blog at the following link:
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Math is About...
Thinking about my main messages about math. Both for my summer algebra 1 class and my fall intro to elementary teaching class. What would you add? {Not everything has to be in tension with a 'not about')
Been some great additions from the thread on Twitter, but I wondered if mathblr had anything to add?
Justin Lanier (former math teacher, now mathematician) had some big questions:
1) Most (maybe all) of these items could also be applied to other schools subjects. (Other human activities, too.) So for each, it can be great to ask what these look like in classrooms in general, and then specifically in math classes.
2) It hits me weird that you're making claims about what math "is", when of course math looks like many things, including the things on your "not about" list. I'd think it'd make your claims less believable to your students, who know that at least sometimes math is about speed and correctness, from their past experiences. Possible even positive past experiences. Also, by framing this as what math "is" instead of "it can be" or "I want it to be" takes our choices, values, and efforts out of the equation.
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Watch "A visual infinite sum like you’ve never seen!" on YouTube
Journey of 1/4 to 1/3
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SM-keskari. #mtbo #kesk #kiekkosolmuun (paikassa Rajamäki, Etelä-Suomen Lääni, Finland) https://www.instagram.com/p/CDoksn3FU51/?igshid=l2eckwivjfry
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😂😂😂 ・・・ #Repost @eduvaites with @get_repost ・・・ The Venn Diagrams We Need . #mtbos #iteachmath #iteachalgebra #algebra #algebramemes #mathmemes #mathteacher #mathproblems https://www.instagram.com/p/CC6F84wBhyx/?igshid=gvhxhfbua59e
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“Great examples of deconstructing #curriculum and rethinking it through the lens of #spiraling.” Another great day of learning: Day 3 of #CampBalance with #mathedu participants considering approaches to spiraling #iteachmath #mtbos #mathchat Session resources for members have just been updated to support reflection and next steps https://www.flippedpl.ca/camp2020-resources.html https://www.instagram.com/p/CDKu7KVD1am/?igshid=1hycsp8ei9k3m
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This week we are wrapping up the YCCOSP Summer Jump-Start Program! The rising 10th & 11th Graders are designing floor plans for their dream YCCOSP Home. The plans and presentations are coming together. While looking over assignments & projects I am totally jamming out to my new fav album! #hamiltonmusical #YCCOSP #BearcatPride #MTBoS #summer2020 #HamiltonFilm (at York, Pennsylvania) https://www.instagram.com/p/CCWIOLIn5kdK6LvkAcN4-IgLvZnJpOZ_832rvg0/?igshid=1n9hyg6devo17
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Here's another calcudoku/KenKen style of puzzle but with a different twist. What if the entries in each cage are -forbidden- from being distinct? For example, a cage with three entries which add to 9 could be 4,4,1 but couldn't be 2,3,4, since those numbers are all different. Here are some small quick puzzles just to demonstrate the idea. All of the clues reveal the sums of the entries in that cage, but regardless of whether or not there is a clue, the entries in each cage cannot be distinct!
For the solution, a PDF, and more information, visit: https://quadratablog.blogspot.com/2021/05/mini-non-distinct-partition-puzzles.html
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This is a math problem Solved for my student if you need help in mathematics i am available for you #math #maths #alevelmaths #mathstutor #mathisfun #lovemath #mathteachers #mathnerd #mathematics #mathematical #gcsemaths #alevelmaths #mathsalevel #algebra #mathsrevision #differentiation #calculus #mathproblem #alevelexam #mathskills #ilovemath #ilovemaths #trigonometry #mathishard #iteachmath #iteachalgebra #mtbos #mathteacher #trignometry #highschoolalgebra#teachingmath https://www.instagram.com/p/CO7RxudH5YZ/?igshid=w6ow2e9xa59m
#math#maths#alevelmaths#mathstutor#mathisfun#lovemath#mathteachers#mathnerd#mathematics#mathematical#gcsemaths#mathsalevel#algebra#mathsrevision#differentiation#calculus#mathproblem#alevelexam#mathskills#ilovemath#ilovemaths#trigonometry#mathishard#iteachmath#iteachalgebra#mtbos#mathteacher#trignometry#highschoolalgebra#teachingmath
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“Complex” Solutions to a “Complex” Problem – Amazing Answers from the #MTBoS
On Tuesday, I finally turned some thought into a problem. In pretty typical fashion, I put out this problem to the Maths Twitter Blog-o-Sphere (MTBoS) for advice about how to better present it, as I felt the wording wasn’t quite right. Here’s the revised problem (thanks to @DavidKButlerUoA for reframing the question):
I then started trying to find some solutions with the hope to develop a simulation or version of a Complex Number Analogue Clock. To do this, I need to start coming up with some solutions, which I knew there would be many. See one of my solutions below, which shows a possible answer for every 2-minute interval (1 degree change in the hour hand).
After running some (pretty inefficient) code on Excel, I stumbled upon quite an interesting pattern. Below is the angles of all right angled triangles that can be made with integer legs from 1 – 100 that are within 0.1 degree of a whole number. For example, a triangle with side lengths 15 and 8 has an angle of 28.07 degrees. It was when I removed all other angles (e.g. 62.5 degrees) when something fascinating was revealed:
After sharing this online, two people in particular took this to the next level…
and here's the processing version! https://t.co/EcGlnwecat pic.twitter.com/BRrUaiqNs7
— Dan Anderson (@dandersod) October 30, 2018
Really cool zoom-ins. Thanks for the idea John and Rich! pic.twitter.com/pNYy1jBqFH
— Dan Anderson (@dandersod) October 30, 2018
Nyquist Limit: Exceeded ;-P pic.twitter.com/SwtMem7g2i
— rich (@farty) October 30, 2018
if u thought that was kaleidoscopic…see it animated ;-P pic.twitter.com/t9Zbx7nsyu
— rich (@farty) October 30, 2018
the #pico8 version ;-P pic.twitter.com/PDBrg3aea1
— rich (@farty) October 30, 2018
What I particularly love about this is the shared enthusiasm that communities can have towards quite specific things. Getting excited about maths is not anything out of the ordinary for the MTBoS, in fact I would be confident in saying that it’s actually quite unusual for people in the MTBoS to not be excited about maths. Sometimes, you do get some people that really do take it to the next level and that’s where beautiful things can emerge. So, a big thanks to Rich and Dan for not only sharing your incredible simulations and creations, but also for just considering something I found interesting to be worth spending some time thinking about and playing around with.
from “Complex” Solutions to a “Complex” Problem – Amazing Answers from the #MTBoS
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Obrigado Deus pela graça de mais um dia. #agradecaadeus #agradeca #bomdia #esporte #saude #vidasaudavel #mountainbike #natureza #nature #mangue #mtbo #ilhadarestinga #fujibikes #bikefuji #fox #foxsuspension #Shimano #shimanoxtr #eggbeatpedals #canoa #ribeira #praiadojacare
#vidasaudavel#mtbo#esporte#mangue#saude#mountainbike#fox#agradecaadeus#ribeira#shimano#nature#eggbeatpedals#shimanoxtr#bomdia#natureza#bikefuji#ilhadarestinga#agradeca#fujibikes#canoa#foxsuspension#praiadojacare
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Pasaulio orientavimosi sporto kalnų varžybos #salotesezeras #pilaite #morning #morningmotivation #fog #mtbo #workworkwork #tent #getatent #worldchampionship #bicycletimes #ltok #orienteering #mountainbikinglife #orienteeringchampionship #mtb #mtb🚲 #wmtboc2017 (at Salotės Ežeras)
#fog#morningmotivation#pilaite#salotesezeras#mtb#ltok#tent#worldchampionship#mtbo#bicycletimes#mtb🚲#orienteering#wmtboc2017#morning#mountainbikinglife#getatent#workworkwork#orienteeringchampionship
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“I learned that there is not only one right way to teach/engage students. It is about finding a good #balance amongst strategies.” Day 2 of #CampBalance with exploration of #onted #highimpact practices for #mathedu https://bit.ly/campbalance-feedback-july14 Ts shared their experiences and what practices require more #precision—astounding community of practice forming already! Such authenticity!! So excited for our virtual learning group with upcoming sessions! #iteachmath #MtBos #mathchat https://www.instagram.com/p/CCqj5ZaDSu6/?igshid=kv1r6ft6vzf7
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Here are some small easy puzzles. Each row and column contains all the numbers 1 through 4, no cage contains duplicate numbers, and the numbers in a cage sum to a clue whenever a clue is given.
Solution, PDF, and more at:
https://quadratablog.blogspot.com/2021/05/mini-distinct-partition-puzzles.html
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