Moons ago, long before Trump’s MAGA slogan resonated among blue-collar workers and white evangelicals, I was surprised to read a parent’s guide mentioning that some American homeschoolers had mixed feelings about using foreign editions of Singapore math textbooks because of the lack of political freedom in the island-state.
No matter how value-for-money Singapore math titles are, or how impressive the “fine” city’s top ranking in both PISA and TIMSS is, some American parents and teachers would have nothing to do with a country that stifles freedom of speech, restricts political freedom, or cracks down on alternative views that often portray the government in a negative light.
Singapore is a partly free country.
This week, we read that in the new normal Singapore has fared worse than the previous year as far as political rights and civil liberties are concerned. If 50 were the passing mark, then the island-state fell short, by scoring a disappointing 48 out of 100 on political freedom.
Singapore’s Freedom in the World https://freedomhouse.org/country/singapore
Selective Internet Accessibility
Less well-known is Singapore’s average performance or ranking in terms of the public’s internet access, especially when both locals and aliens thought they could easily access the internet (except for some banned websites on politics, religion, and sex, or most political blogs that don’t depict the country’s political leaders positively), compared to their counterparts in China, where Google, Facebook, and Twitter are banned.
Singapore’s Freedom on the Net https://freedomhouse.org/country/singapore/freedom-net/2020
Political Freedom: Singapore vs. Others
Although we may not agree on the methodology used to compute the scores, which are calculated on a weighted scale, however, the global freedom ranking of most countries appears pretty accurate.
Let’s look at some freedom scores, by comparing how Singapore fares vis-à-vis some rich or rogue countries.
Since the start of the coronavirus pandemic, in the aftermath of more pseudo-free nations going rogue, or more institutions paying lip service to democratic processes, I remember less than three years ago coining tongue-in-cheek “Make Singapore Free Again.”
The Fear Factor in Singapore
The Fear Factor as a Common Denominator
What are some long-term consequences for math educators living in a politically semi-free milieu? Teachers who need to seek permission from their HODs or principals to start a blog or a Facebook page; or writers who need to consult editors or publishers before they start working on a politically incorrect or irreverent math title.
When I started blogging, I still recall that those who had a say in my pay wanted me to choose a different name that doesn’t include “Singapore Math” as part of the blog’s identity. Apparently, every time they Googled “Singapore math,” they landed on my site, and they’re uncomfortable with that. I refused to compromise because I thought then (and now) that the idea of censoring or threatening me for raising some unethical practices in educational publishing is laughably ridiculous, not to say, mathematically or educationally anti-democratic.
It’s not an accident or coincidence that high-GDP Singapore has probably the lowest number of math bloggers, or the least number of math teachers on Twitter, in the developed world.
For some of us, who look like an odd in a sea of evens, the “fear factor” of speaking up and speaking out is real, even if our audience is outside Singapore. As long as we are a “mathematical or political nobody,” it’s probably safe to say that we’re at quasi-zero risk of being banned or censored, while being aware that a small army of vigilantes are watching us 24/7/365 just in case we go “politically astray.”
POFMA Math
During the lockdown, when a few Opposition candidates appeared to be unfairly targeted for their “fake” comments, I entertained the possibility that soon the authorities would be targeting math bloggers or textbook authors, who poked fun at some MOE directives or policies, by irreverently christening POFMA Math.
What are the odds that Singapore math authors would be the next to be POFMA-ed?
Poverty or Democracy
For decades, the unspoken or unchallenged political message in Singapore for Singaporeans and foreigners is: High GDP or Low Political Liberty. You can’t have both!
Why can’t your say and your pay go hand in hand? The lie that a country’s economic prosperity and political freedom are inversely proportional needs to be debunked at all costs, because failure to do so would only perpetuate mediocrity, economic stagnancy, political apathy, and uncreativity among the citizenry.
It’s an unwritten or unspoken fact that other than local Singapore parents and homeschoolers, both local and foreign math students and teachers are equally kiasu, with the extreme ones being conferred the ignoble title of “Ugly Singaporean.”
In the age of the pandemic, how would you redefine the word “kiasu” in math or math education? Below is one such attempt to relook at this Singaporean “negative trait.”
Singapore’s CPDD’s Primary Math One Textbook
Are we guilty of “mathematical kiasuism” without even being aware of it? Or we think that no one would notice it!
It’s never too late to stop and ask ourselves every now and then whether our actions (or inactions) have made us more or less kiasu.
Are we prone to rationalizing our “selfish” behaviors because after all few folks are really “hurt” or “inconvenienced” by our doings (or “wrongdoings”)? Isn’t it a thousand times easier to spot a “mathematical kiasuist” than reluctantly admitting that we’d be one ourselves, knowingly or unknowingly?
Parents are generally blamed to be super-kiasu. Teachers are über-kiasu. Students are kiasu. What about math editors, writers, or consultants? Are they less so?
For math-anxious or mathophobic folks, mathematics is more terrifying than being attacked by an army of vampires, werewolves, and zombies. For the health-conscious, Covid-19 is a thousand times deadlier than Halloween and Donald J. Trump combined. And for those on the far-left of the political spectrum, Trumpvirus is a googol times more lethal than the product of the coronavirus and Halloween. So, it looks like it depends what really matters to you to rationalize which is more frightening: Halloween, Covid-19, or Trump-45.
For conservatives or evangelicals, who recognize the dangers posed by the dark spiritual forces, Halloween is a festival of the devil, because ghosts or evil spirits are real and dangerous. How do math educators navigate through the occultic maze to leverage on a spookacular festival to promote numeracy and creative problem solving?
When Halloween is a multi-million-dollar fear-and-fun business in secular societies like China, Japan, and Singapore, math educators regardless of their religious affiliations have to recognize that Halloween is here to stay.
Yellow Halloween
When Asians too feel like celebrating a Western fright-wear festival like Halloween—the spooky business worth millions of dollars is too good to give it a miss.
The yellow Halloween provides an opportunity for rich Chinese and Japanese participants to show off their creative elaborate costumes, bringing much joy to organizers and dozens of tailors cashing in on the event.
by MathPlus November 03, 2016
http://www.urbandictionary.com/define.php?term=Yellow+Halloween
Let's look at a sample of Halloween math questions.
1. A Horror Movie
Thou shalt not dabble in numerology!
The screening of Covid-19 v. Trump-45 ended at 1:19 AM. If the horror movie lasted for 1 hour 31 minutes, what time did it start?
A poster outside a Singapore bookstore
2. The Ghostly Time
What is the acute angle measure between the hands of a clock at 10:31 p.m. on Halloween?
3. Horror-scope & Bat-man
#PumpkinSpice from Edel Rodriguez (@edelstudio on 19/10/17)
Today is Friday, and Trump’s numerologist tells him that he will have to drink the blood of a bat 666 days from today to continue to lead a “normal life” after he leaves the White House. What day of the week is Donald expected to do that task?
4. TrumpMath, Anyone?
5. A Grave Calculation
Not all sins or bad habits are treated equal!
Assuming that most people would live up to three scores and ten years, how long will it take before the whole world is covered in gravestones?
6. Operation Vampire
The Power of the Cross
If a vampire were to feed once a day and turn each of his victims into a vampire, show that the entire human population of the planet would become vampires in just over a month.
The Ghost Month and Halloween
Long before the East imported Halloween from the West, superstitious Asians have been celebrating their one-month-long version of Halloween, known as the “Ghost (or Seventh) Month”—a far more scarier festival than a mere evening of horror fun.
My hypothesis is: Halloween is no more than one-seventh as frightening as the Ghost Month, a festival celebrated in many parts of Asia every August or September, depending when those spiritual vagabonds from hell decided to descend on earth.
The coronavirus pandemic and the Seventh Month provide math teachers with new math terms to coin, and allow them to pose a number of deadly guesstimation problems. Below are a few of these Covid-math terms.
On August 8, 2020, @SingaporeLite tweeted the following:
Covid-👿
Corona Math: What are the odds that hungry ghosts from Hell who’d roam Earth during the Ghost or Seventh Month—Aug 19–Sep 16—are corona-proof? Besides instilling fear on superstitious folks, aren’t they also a source of infection? todayonline.com/node/8269421 #Singapore #Covid-19 👿🦠
On July 1, 2020, @SakamotoMath tweeted the following picture and text.
Happy Math-O-Ween! from @MrHonner
Corona Math: Given that the coronavirus is empowered to infect both earthlings and celestial beings, guesstimate the no. of infections among the fallen angels that colluded with Lucifer to challenge the Throne of God in the heavenlies. #Covid-19 #heaven #hell #angel #math #humor
Halloween vs. Coronavirus
Which is scarier to you: Halloween or Covid-19? How are you remembering those who would still be around if not because of the coronavirus? Is fake political leadership responsible for their premature departure to the other side of eternity? #Halloween #Covid-19 #death #leadership (@SakamotoMath on 30/10/20)
Covid-19 Goes Green
The coronavirus doesn’t discriminate against believers, nonbelievers, or agnostics—it infects or kills people of all religions or philosophies with the same intensity.
From Paranormal to Trumpnormal Distribution
Q: What do you get when you cross Covid-19 and Statistics?
A: The Trumpnormal distribution.
A “ghost distribution” from @wilderlab
Political Engineering: Stop flattening and start trumpifying the curve to open up more businesses across the US—more testings and tracings don’t win an election! #statistics #coronavirus #Covid-19 #business #lockdown #distribution #Singapore #math #infection #death #curve #humor
Coronavirus’s Nineteen Names
Just as President Trump has been conferred so many notorious titles, the coronavirus has been given all kinds of racist labels.
7. Not All Corona Prayers Are the Same!
A Shaolin Buddhist abbot can pray for a Covid-19 patient to be healed in 8 days and a Baptist bishop in 2 days. How long would it take them to get a patient who is twice as sick to fully recover, if both leaders prayed together?
Selected Answers: 1. 11:48 PM 2. 129.5° 3. Saturday 5. Over a million years 7. 3.2 days
References
Correl, G. (2015). The worrier’s guide to life. Missouri: Andrews McMeel Publishing.
Lloyd, J., Mitchinson, J. & Harkin, J. (2012). 1,227 QI facts to blow your socks off. London: Faber and Faber.
Santos, A. (2009). How many licks? Philadelphia: Running Press.
Based on feedback from dozens of school teachers, editors, authors, tutors, and parents, below are ten local publishers that are known to sell thick and cheap Singapore math books, and most of them are also notorious for being indifferent or allergic to editorial, conceptual, and linguistic ills. Don’t say you haven’t been warned!
A common sight at Popular bookstores: The first three shelves are stacked with EPH math titles.
BookOne
Casco Publications Pte Ltd
EPH (Educational Publishing House Pte Ltd)
Examaid Book Publishers Pte Ltd
FBP (Fairfield Book Publishers)
Penman (Penman Publishing House Pte Ltd)
Raffles Publications
SAP Education
teachers@work (an imprint of SAP)
Success Publications Pte Ltd
Even in educational publishing, it would be naive for us to think that we could get “good, cheap, and updated” math titles. Undiscerning potential buyers continually think that most local publishers are nonprofit, which offer decent Singapore math titles with a wallet-friendly price tag, except perhaps for a few odd balls, who publish books out of passion for the subject.
Cheap Singapore math assessment books are notoriously littered with mistakes and out-of-syllabus topics, because most of these titles are ghostwritten, if not, written by reluctant editors on a payroll. And yet, undiscerning parents never fail to go for those thick, cheap (hopefully, not “cheat”) supplementary math titles, thinking that they’re getting a pretty good deal.
Bargain Hunters
It always tickles me to witness mothers flip through so many assessment books in Popular bookstores, and after that, they still opt for the thick, cheap ones.
In the early days, parents used to buy math books that were “authored” by those with a PhD, but as consumers become more educated and informed, the percentage of buyers who are still title-conscious seem to have gone down exponentially.
A publishing hypothesis based on feedback from sales and marketing personnel from publishing houses is that the sales figures of Singapore math titles by writers in academia are disappointingly low. Consumers are no longer lured by thick titles, “authored” or “consulted” by those with big academic titles.
Consultant or Con-sultant
Two consultants, five authors.
Interestingly, but not surprisingly, it’s an open secret that a disturbing number of National Institute of Education (NIE) lecturers, and a few moonlighters from the National University of Singapore (NUS), who had served as profs-turned-consultants for local and foreign publishers, had their ghostwritten or consulted manuscripts rejected by the Ministry of Education (MOE), Singapore.
Just because they have a PhD or are a tenured faculty staff is no guarantee that they‘ve the knowhow or make-up to add value to a manuscript. Or, just because they’ve been supervising trainee teachers for years or decades, or they’d published a dozen-odd papers in reputable journals doesn’t necessarily make them a suitable math consultant or general editor for a set of textbooks, which need to be MOE-approved before they’re allowed to be used in local schools.
Under-deliver and Over-promise
Two PhDs and Four Authors
At best, their cosmetic suggestions are worth less than a dime a dozen. At worst, their “inputs” had led publishers to lose millions of dollars’ worth of potential revenue due to their MOE-unapproved consulted manuscripts, not to say, missed overseas sales, in the light of growing global interest on Singapore math.
A check with textbook editors who have been in the industry for decades reveals that more often than not, local lecturers from both the NIE and NUS are “under-qualified” and “over-rated” to review manuscripts from teachers-writers, compared to their counterparts from overseas, who generally treat consulting a textbook more as an honor or a privilege rather than a quick way to boost their ego and income.
Zero Sign of Decline
The publication rate of cheap (or “cheat”) and thick supplementary math titles shows no signs of abating, nor is the number of university lecturers who secretly long to be textbook consultants or general editors going to dwindle any time soon, albeit they’ve been “warned” by the university management that they’re not encouraged to freelance or moonlight for both local and foreign math publishers. When ethics often gives in to economics, how many of them would prevent a fat royalty from obstructing an early retirement?
While the world is anxiously waiting what “Christmas (or Cliff-mas!) gift” North Korean dictator Kim Jong Un has reserved for President Trump, with the two rogue leaders now having revived their name-calling game, and as the world witnesses the impeachment trial of the Liar-in-Chief, how can math educators nevertheless use the caustic and divisive political climate in the US to spice their enrichment or recreational math lessons? How can they generate some mathematical positives from the many political and moral negatives?
A few Christmases ago, I wrote Christmaths: A Creative Problem Solving Math Book, which looks at some parallels between the king of public holidays and the queen of sciences. And now thanks to Donald Trump, his narcissistic, racist, and supremacist behaviors and tweets continue to provide thousands of math teachers worldwide fertile fodder to link math to politics.
The Mathematics of Trump
For many of us living outside the US, who are agnostic about the political views of both Democrat and Republican politicians, it’s hard not to poke fun at American [Trump?] politics.
Below are a sample of published entries, which irreverently looks at some parallelisms between Trump and Math.
Meet the Pinocchio-in-Chief
From Trumpworthy Math, I went on to define two units for measuring falsehood: tru and Pinocchio.
Pinocchio
A unit for measuring how far or how much a politician, dictator, or businessperson is lying to an oft-gullible public—named after a marionette with a long nose, the picture of a dishonest person.
Trump’s denial of having sex with an adult entertainer, while his wife was still pregnant, is at least six Pinocchios.
by MathPlus October 31, 2018
Lies, White Lies, and Statistics
True or False
(a) Politifact: “76 percent of Trump’s statements were false or mostly false.”
(b) Politico: “Trump told a lie every three minutes and fifteen seconds.”
What is a Trump Number?
Below is one of the two published definitions of a “Trump Number,” which had evaded me for some time, because I just couldn’t nail down a description, without too much falsehood or exaggeration.
Based on your knowledge or readings about Donald Trump, how would you define a “Trump Number”?
The “C” Word Among Atheists and Islamists
Two Christmases ago, when President Trump boasted how he restored the spirit of Christmas among those who worship the King of kings, I coined War on Christmas.
War on Christmas
When conservatives and President Trump have had enough of the political correctness by Democrats that people should say “Happy Holidays” and not “Merry Christmas.”
President Trump is hell-bent on winning the war on Christmas, who bragged that under him Americans can now freely and proudly say “Merry Christmas”—they shouldn’t be hijacked by atheists and Islamists in sharing Christmas greetings to others.
by MathPlus December 25, 2017
And last Christmas, I christened the following:
Trumpmas
The name Donald Trump would have Christened Christmas if he could have his way—after all, every day, the media unfailingly have something un-Christian to write about him, since he miraculously became the US President.
Those working under him long for the day when Trumpmas would turn into Christmas—probably they’ve to wait until they resign or get fired by the president.
by MathPlus December 23, 2018
The Existence or Nonexistence of Santa Claus
Following the Christmas phone call between the US President and a lucky child last year, I coined the following:
And that presidential “child-unfriendly” phone call prompted me to pose the following Christmaths question:
Santa’s Proof
Santa Claus (🎅): “Children don’t exist.”
Prove or disprove whether Father Santa is correct or not.
Wrapping a Christmas Present à la Trump 🌲🎉🎊🎄
On November 13, 2017, I tweeted the following:
“Nothing” for Christmas
The Gift of Nothing: When you go shopping and could find nothing to buy as a gift for your best friend or loved ones, why not give them the gift of nothing, because nothing is not for sale? Put nothing in a big box and give it to them. #nothing #zero #gift
Last Christmas Eve, I coined Trumpgifting:
Immoral Math: Quid-Pro-Quo Math, Barr Math, and Mueller Math
With some exaggeration and irreverence, it’s not too difficult to coin some mathematical words or phrases based on how President Trump and his oft-ethically challenged administration misrule the country.
Green Math: Trump’s Climate Hoax
With Donald Trump dumping the Paris Agreement for his personal political agenda, math and science teachers could play their part in educating students about the long-term consequences of the president’s selfish unscientific decision.
Fake Father Christmas
On April 13, 2019, I tweeted the following:
Fake Christmas: What are the odds that President Trump’s hypothesis that global climate change is a hoax could speed up the first Christmas summer in the US or EU? Or when fake Xmas trees permeate the homes? #Christmas #Christmaths #weather #climate #Singapore #math #humor 🌲🔢
The Sharpie Pen and Christmas Cards 🎅 🎄 ✉️
Guesstimate how many Christmas cards (and their envelopes) you can use with a Sharpie pen.
Estimate how long a line you can draw with a Sharpie pen.
If each person sent an average of 30 Christmas cards, how long would the Sharpie pen last them? Three years?
Trump’s Greetings Cards
Last December, to resurrect the lost art of sending Christmas or greetings cards, I coined the following slogan:
Make America Greet Again
Bringing back printed greeting cards as in the good old days before the advent of e-cards —when sending personalized cards meant so much to both senders and receivers.
This festive season, Trump supporters want their president to pass an executive order to ban those working in the US government to send e-cards, as this virtual way of greetings is “robotic” and “dehumanizing”—they want to make America greet again.
by MathPlus December 02, 2018
Guesstimate how many millions of greetings cards would be sent every year in the United States if President Trump were to pass his executive order on banning Christmas e-cards.
BC & AD: Restoring Year Zero
Discuss the social, economic, and political implications if the world were to switch to a “Trumpian calendar.”
Pi Exposition
One way for math educators to poke fun at the disturbingly obscene number of ethically challenged senators in exposing their moral hypocrisy to condone or defend the wrongs of a morally bankrupt president is through the irrational and transcendental number pi.
Or, even evangelical Trump supporters voters who refused to acknowledge or right his moral and political wrongs shouldn’t be let off the hook for condoning or exonerating the sins of a “statistical president.”
Prove that the biblical value of pi, as mentioned in 1 Kings 7:23 and 2 Chronicles 4:2, is 3.
The Aftermath of Christmas
Estimate how many people each year suffer food poisoning after eating Christmas leftovers. About half a million?
Roughly how many unhappy people return their unwanted Christmas presents on Boxing Day (and come home with discounted items)?
A Christmas Gift for Trump
Let me end with two Trump-friendly entries I submitted two months ago:
A National University of Singapore’s brochure cover promoting math and art.
A fortnight ago, Center of Math (@centerofmath) tweeted the following picture:
Imagine if Donald Trump were your high school math teacher. How would he disruptively or irreverently use the above illustration to teach some “pop (or poop) calculus” to his math-anxious Liberal Arts students?
From Epstein to Trump
President Trump’s “fun buddy” of yesteryear, Jeffrey Epstein, was unverifiably a pretty good math teacher before he became a successful financier, whose sinful soul had since journeyed to that hot fiery place, on the other side of eternity, sooner than later.
And not too long ago the president who claimed to have a “genius IQ” boasted that his “favorite” daughter is very good at numbers, which indirectly implies that she must have inherited his (or his first wife’s) “mathematical gene.”
An e-card promoting the disruptive title, “If Trump Were Your Math Teacher” (2020).
A phrase that had made its way into Urban Dictionary, but had since mysteriously disappeared from cyberspace.
Trump’s Calculus
Based on the defined meanings of f(x), what could f′′′(x) represent?
For the majority of us who aren’t born or blessed with a mathematical or symbol-minded brain, but nevertheless appreciate the austere beauty of mathematics, writing about mathematics and math education is the second best thing we’d do to console ourselves that we needn’t be first-rate mathematicians to enjoy the language of science and technology, or to appreciate the science of patterns.
Some mathematicians write novels under a pseudonym to avoid any suspicion from their faculty bosses; others compose limericks and haikus as a creative outlet to showcase their hidden poetic talents. And for the rest of us who are neither novelists nor poets, maybe submitting some definitions to Urban Dictionary, by coining new mathematical words, or redefining old ones, could be the first step to activating that atrophied right part of our brain, which is allegedly responsible for creativity.
On this Pi Day, let me share with fellow math educators eleven approved definitions related to the irrational and transcendental pi. Don’t ask me how many times I got rejected and needed to resubmit some of these definitions again, before the Urban Dictionary editors decided to approve them.
Pre-Pi Day
Pre-Pi Day seems to have been serially downvoted and subsequently deleted to prevent digital abuse, because the approved entry can no longer be accessed.
Rejection isn’t failure. We keep refining or redefining any rejected definitions until the editors have zero excuses to reject the resubmitted entries. I wished I’d share some recipe for these approved pi definitions, but any attempt to offer some tips to increase a math educator’s chances of getting these math words or terms approved would probably be futile, to say the least.
Over time, although I’ve managed to reduce the odds of rejection, however, some submissions inevitably end up in the little red book of the mean editors—maybe these word doctors had a bad day, or simply because I was submitting some “mathematical crap” that caused me to receive emails like the following:
Urban Dictionary – Pi-rated was not published
Thanks for your definition of Pi-rated!
A few volunteer editors read your definition and decided to not publish it. Don’t take it personally!
Pi-rated The term to describe any faux facts about the irrational number pi.
On Pi Day, our teacher tricked us with some pi-rated math: pi is a rational number (22/7); pi has a different value on the moon that on earth; pi has a value of three in the Bible.
It’s never too late to be mathematically playful, by playing your part in submitting some irreverent mathematical definitions to enliven your math lessons.
Even if math educators are politically apathetic or have near-zero interest in world politics, they can’t discount lightly the irrational thoughts, words, and actions of President Trump and Chairman Kim, because the very presence of these two world “leaders” is two too many—the world is far less secure with these two fellows around, especially when at the push of a nuclear button, millions of innocent civilians would be heading to the other side of eternity sooner than later.
Being neither a mathematician nor a politician, I’d be the most unqualified “math educator” to hypothesize how numerate or “logical” or rational these two disruptive politicians are. However, my educational hypothesis about math education in both North Korea and the US is that North Korea Math is probably less inch-deep-mile-wide than US Math.
On January 2, 2013, I tweeted in tongue-in-cheek the following:
If North Korea were to take part in TIMSS, would it be a surprise if its K–12 #math students outperform their counterparts in the US? #TIMSS
If we factor in the educational budget of each participating country in TIMSS and their local teachers’ limited resources, a politically incorrect ranking would probably look as follows:
There are no ranking errors: Singapore isn’t in the top ten (with or without private tuition).
The Rocket Man and the Mentally Deranged US Dotard
Which “political unthinking” is more dangerous: “Think like Kim” or “Think like Trump”? Who is a more unpredictable or deadly bully? Is “Fatty Kim the Third“—a derogatory term for the well-fed dictator whose own people are starving in the millions—a mere toothless bully vis-à-vis his American counterpart?
Having zero mercy for your political foes, by torturing them and their family members; and poisoning, hanging, or murdering your siblings and relatives, who you suspect are against you.
Or, tweeting and taunting illegal immigrants, radical Islamists, and the LGBT community, which tends to trigger symptoms of insomnia, irrational fear, anxiety, depression, and trauma—the so-called Trump Stress Disorder (TSD)—which unconfirmed reports suggest that they’re more likely to die sooner of heart attack, or to be victims of racial or ethnic persecution.
Kim’s Digital Murder
Below is a quick-and-dirty e-card I tweeted on August 5, 2018 on dictator-murderer Kim, who had his army of hackers or digital terrorists use Photoshop to “digitally murder” his uncle.
If Kim Jong-Un were a radical Muslim-convert, North Korea could become ISIS’s new HQ! #politics #war some.ly/dCh7Y7b
Mathematical Intercourse between Trump and Kim
Another half-baked mathematical e-card I made and tweeted during the Trump-Kim tête-à-tête in Singapore is the following:
On a nonmathematical note,
and the question is: What do you get if you cross a Trump with a Kim? and the answer is: Nothing. You can't cross a dictator with a murderer.
Or, on a mathematical note,
and the question is: What do you get if you cross a mosquito Kim with an overweight Trump? and the answer is: Nothing. You can't cross a vector with a scalar.
A Bromance of Two Dictators
Singapore as the political matchmaker.
Trump claimed that he and Kim “fell in love” after exchanging letters—it sounds like two egomaniacs trying to outwit each other with their insincere sweet words, by stroking each other’s fragile ego.
Trump-Putin, Trump-Xi, Trump-Sisi, Trump-Erdogan, and now Trump-Kim. It appears that dictators do attract each other! A political hypothesis math educators pursuing a PhD in math education might wish to test is: Dictatorship is quadratic!
From Dictator Putin to Emperor Xi to soon-to-be Pharaoh Sisi, Tweeter-in-Chief or Pinocchio-in-Chief Trump, all these power-hungry men have no limits to controlling more yes-men and yes-women, while expecting blind obedience—those who don’t toe the line are likely to be fired prematurely.
In Trump & Kim We Trust
The Symbolic Trump-Kim Meeting in Singapore
Last June, the Singapore government forked out a wallet-unfriendly $20 million to hold the symbolic meeting between President Trump and Chairman Kim.
A Political Math exercise I tweeted then was: Guesstimate how much on average each taxpayer in Singapore “contributed” to footing the $20 million bill for the Trump-Kim meeting. bit.ly/2sVT6jG
Fire and Fury on Kim and His Gang of Killers
@juche_school1
Unlike his dictatorial and murderous grandfather and father who had longed to meeting a US President while they’re still alive, Kim Jong-un is the luckiest of the unholy trinity in finding a “good friend” in Donald Trump.
Political pundits think that North Korea needs more than trade sanctions for its nuclear and missile programs and the threat they pose to the world. A regime change to deliver North Koreans from the tyranny of the Kim dynasty ought to be in the political pipeline.
Unlike Vietnam which tries to threaten Trump and Kim impersonators to stop their “mocking acts,” it’s rather surprising that Singapore didn’t ban these pseudo-tyrants from walking around in town to have some political fun with both locals and tourists.
Abel & Cain 4.0
Thou shalt not kill thy brother.
On the right is an e-card I wrote and tweeted around the time when Kim Jong Un wanted so badly to exterminate his half-brother, Kim Jong Nam.
And below is an approved entry I contributed on “Kim Jong-un and Kim Jong-nam,” which could no longer be publicly accessed online:
Kim Jong-un and Kim Jong-namThe modern-day version of the biblical Abel and Cain, with the chances of the two Kims not meeting their late father and grandfather in hell near to zero.Brothers-rivals Kim Jong-un and Kim Jong-nam serve as ideal plot characters for a Korean spy movie.
Maybe Kim’s hackers felt that the days of its publication should be numbered.
Obama vs. Kim
Unlike a dozen-odd mean tweets on Trump and Kim, any entries on Obama and Kim were in short supply. One I tweeted about them in 2014 in the aftermath of a racist comment on President Obama is the following:
An Unrighteous Deed, IndeedIf Obama is like a "monkey in a tropical forest," then Kim Jong-un must be a "fat pig in Siberia." #North-Korea (@MathPlus on 27/12/14)
Politico-Mathematica à la Singapour
Below are some politically incorrect “political math” questions that teachers could creatively tweak to pitch to their oft-politically challenged students, by conveying the message that math and politics do mix.
1. Parallelism between Two Irrational Personalities
List a dozen parallels between President Trump and Chairman Kim.
For example, Trump and Kim each have been conferred with high-sounding titles for their “contributions” to mankind.
Please call me “Dr. President Trump.”
2. Modeling with Trump and Kim
(a) Trump’s Tweets—Firing by Twitter
Model President Trump’s tweets, which provide a rich source of comedy, into a little juicy formula, which would predict his tweet-before-you-think posts in coming years (assuming that he would still be allowed to tweet behind bars should he be convicted for some political or business collusion with foreign powers).
(b) Kim’s Murders—Murder by Numbers
Formulate a “wicked algorithm” that would guesstimate the number of political critics or foes the Kim dynasty had ordered to be imprisoned, tortured, or killed every year since the Korean War.
3. [Fake] Nobel Prize Winners
What are the odds that the Tweeter-in-Chief and the Murderer-in-Chief might share the coveted the Nobel Peace Prize, if their peaceful actions are perceived to help avert World War III, which could irrationally or maniacally be triggered by pressing their nuclear button?
If someone like Yassir Arafat, who supported terrorism against Israel, could win a Nobel Prize, it’s not far-fetched that both Trump and Kim might be “honored” for fakely bringing world peace to an already-violent world, made insecure by radical Islamists.
4. Political Math
Below are some politico-mathematica questions I posted in recent months.
(a) Political Math: Guesstimate how many false or misleading claims Donald Trump will make by the time he leaves the White House in 2020 (or earlier if he is impeached and imprisoned)—7546 white lies in 700 days. #Singapore #math #politics #estimation #humor (@MathPlus on 30/12/18)
(b) Political Math: Which event has the higher odds of ever happening: Donald Trump winning the Nobel Peace Prize or being canonized as “Saint Trump”? If Arafat can win it, so can Trump! bit.ly/2IwDuP1 #Vatican #peace #sainthood #North-Korea #Singapore #math #miracle #humor (@MathPlus on 18/2/19)
(c) Political Math: What are the odds that if we had had President Hillary Clinton instead of President Donald Trump, she too would have fired the ex-FBI director James Comey, and that her opponents would now be calling for her impeachment and prosecution? #politics #math #hypocrisy (@MathPlus on 3/1/19)
How Trump Does Calculus
(d) Political Math: What are the odds that President Trump would not seek re-election in November 2020 in the aftermath of his impeachment by the House for colluding with Putin and gang? #statistics #SingaporeMath #math #odds #collusion #election #politics #Trump #Putin #humor (@MathPlus on 30/11/18)
5. Murderous Math
Here are some deadly math toughies that may not be apt for politically or religiously immature souls. Caution: Arm yourself, if need be, if you feel that you may be a victim of some form of “mathematical rebellion” from your hostile audience, who may be on a different political or spiritual wavelength as you.
(a) Murderous Singapore Math: What are the odds that there would be a coup in North Korea when Dictator Kim traveled to Hanoi for another symbolic meeting with President Trump? Is China, Iran, Syria, Russia, or Venezuela keen to take him?
Murderous Zeros: If filthy rich Saudis can buy a morally bankrupt fellow like Donald Trump to keep his silence, guesstimate how many “loyal zeros” he is worth to his murderers. #Khashoggi #MBS #murder #guesstimation #math (@Zero_Math on 21/11/18)
Murderous Math: A World Without North Korea—What are the chances that in the aftermath of a North Korean nuclear attack on the US, the Kim dynasty would cease to exist (as the US and allies retaliate to wipe out North Korea from the map)? #war #North-Korea #apocalypse #math (@Zero_Math on 6/12/18)
6. Food & Dog Diplomacy
(a) Singapore Math: What are the chances that North Korea might have a McDonald franchise before having a US embassy? #McKim #humor (@MathPlus on 15/8/17)
McKim was approved on July 13, 2017, and had since been probably “hijacked” by the hackers of the guardian deity of planet Earth.
McKimThe local burger McDonald plans to offer to middle-class North Koreans once Dictator Kim Jong Un and gang give them the green light to operate their first outlet in Pyongyang.The Trump camp thinks that food diplomacy may be a first step to getting the Kim dictatorship to give up its nuclearization program—they've secretly approached McDonald to come up with a North Korean recipe for McKim.
(b) Dog Diplomacy: Chinese Communists give pandas; North Korean Communists give dogs. bbc.co.uk/news/world-asi… #politics #North-Korea #Communism (@MathPlus on 26/11/18)
(c) Faith in god Kim
Kim’s likely promise to Trump: “I want to denuclearize”—as the sanctions hurt and my dynasty must prevail. But like China, Iran, and Russia, where lying and cheating are in their DNA, can the world trust North Korea & the Kim dynasty? #Singapore #politics (@Zero_Math on 10/6/18)
God Has the Final Say in Trump’s Destiny—Not Men or CNN
Let me end on a positive note on how I re-christened or re-defined “President Trump” on 9/11, the date when he’s miraculously elected in 2016.
How God used an ungodly man to effect political change.
Bibliography & References
Monti, R. A. (2018). Donald Trump in 100 facts. UK: Amberley Publishing.
Pater, R. (2016). The politics of design. Amsterdam: BIS Publishers.
A Creative & Disruptive Math Title Coming Your Way*
*Agents keen to represent publishers confident enough to sell an obscene number of If Trump Were Your Math Teachercould contact K C Yan at his e-mail coordinates. A trumpillion thanks!
In Singapore, the durian is officially the only tropical fruit that is banned inside a public train or bus—to critics, it smells worse than urine combined with a pair of used socks.
Presently, transport officials are likely to confiscate the notorious fruit should someone be found conspicuously with it, until recurring public complaints force politicians to implement a fine for those caught carrying one in forbidden places.
If anyone in Singapore can be fined for failing to flush a public toilet, it’s not far-fetched to expect a penalty in a-not-too-distant future for those who inconsiderately propagate the pungent aroma of durians among Singaporeans.
A proof that Singapore is a “fine” city.
Dubbed the “King of fruits” by locals, enjoying the durian is arguably an acquired taste; however, it may cause premature death when eaten together with some types of food or drinks—check this out with your doctor to avoid going to the other side of eternity sooner than later.
For math educators who can’t stand the pungent smell of durian, much less taste it, how can they creatively make use of this much-loved or much-disliked fruit in their mathematics teaching?
In the aftermath of a church in Sarawak, Malaysia erecting a Christmas durian tree, the following estimation questions crossed my mind:
1. Guesstimate the number of durians that were used to make the Christmas tree depicted below.
A durian Christmas tree at a church in Sarawak, Malaysia. Source: @nobisha by norizan sharif on 25/12/18
2. Estimate how much the durian business in Malaysia meant for the China market is worth every year.
3. Estimate how many durians a ten-hectare durian plantation could produce every year.
4. What percentage of the Asian population love to eat the pungent-smelly durian?
Singapore Math and Durian
Below are two irreverent tweets I posted to poke fun at the notoriety of the durian among fruit lovers, who are often tickled by durianians who wouldn’t think twice about forking out more than fifty bucks for one über-smelly durian.
Make a short trip to Malaysia or Thailand during the peak durian season. Try to get hold of a dozen-odd types of durian from the local market or some durian plantations owners. Compare their prices, weights, textures, pH levels, smells, or tastes; and make some conjectures based on nasal, oral, and tactile factors. Does the number of spikes of some durian type exhibit Fibonacci-like behaviors?
2. Death by Durian
Model how many “durian bombs” pseudo-jihadists planning a terrorist hoax in some public places like a college campus or shopping mall would need to simulate some panic or irrational fear among the undergraduates or shoppers.
What are the odds that one of Singapore’s neighboring frenemies could one day use the durian as a low-tech weaponry to neutralize her, just as man-made haze pollution from unfriendly neighbors could potentially be weaponized to suffocate an entire nation?
3. A “Fine” Durian
Imagine that you have been assigned to draft a set of rules that would penalize those caught with durians in forbidden public areas in Singapore. Model a “fines guideline” that wouldn’t unfairly punish those who selfishly insist on polluting their milieux with the nose-unfriendly smell of durians.
New Year, New Entries
On a more positive or non-apocalyptic note, for this new year, some of you might wish to redefine Durian Math or add a new twist to it, as you discover new ways to infuse the term in your math lessons.
A blessed New Year 2019 to all math educators around the world.
Esplanade Theatre—Singapore’s “The Durian.” Photo source: visitsingapore.com
Recently, I was peeping at some postings on the FacebookPSLE Parents group, and I came across the following question:
Philip had 6 times as many stickers as Rick. After Philip had given 75 stickers to Rick, he had thrice as many stickers as Rick. How many stickers did they have altogether?
Here are two solutions that caught my attention to the above primary or grade 6 word problem.
Solution by Izam Marwasi Solution by Jenny Tan
Pseudo-Bar Model Method?
Arguably, the solution by the first problem solver offered to parents looks algebraic, to say the least. Some of you may point out that the first part uses the “unitary method,” but it’s the second part that uses algebra. Fair, I can accept this argument.
Since formal algebra, in particular the solving of algebraic equations, isn’t taught in primary or grade six, did the contributor “mistake” his solution for some form of bar model solution, although no diagram was provided? It’s not uncommon to see a number of pseudo-bar model solutions on social media or on the Websites of tuition centers, when in fact, they are algebraic, with or without any model drawings.
Many parents, secondary school teachers, or tutors, who aren’t versed with the bar model method, subconsciously use the algebraic method, with a bar model, which on closer look, reveals that the mental processes are indeed algebraic. No doubt this would create confusion in the young minds, who haven’t been exposed to formal algebra.
Does the Second Solution Pay Lip Service to Design Thinking?
What do you make of the second solution? Did you get it on first reading? Do you think an average grade five or six student would understand the logic behind the model drawing? From a pedagogical standpoint, the second solution is anything but algebraic. Although it makes use of the bar model method, I wonder what proportion of parents and their children could grasp the workings, without some frustration or struggle.
One common valid complaint by both parents and teachers is that in most assessment (or supplementary) math books that promote bar modeling, even with worked-out solutions to these oft-brain-unfriendly word problems, they’re often clueless how the problem solver knew in the first place that the bar model ought to be presented in a certain way—it’s almost as if the author knew the answer, then worked backwards to construct the model.
Indeed, as math educators, in particular, math writers, we haven’t done a good job in this area in trying to make explicit the mental processes involved in constructing the model drawings. Failure to make sense of the bar models has created more anxiety and fear in the minds of many otherwise above-average math students and their oft-kiasu parents.
Poor Presentation Isn’t an Option
Like in advanced mathematics, the poor excuse is that we shouldn’t be doing math like we’re writing essays! No one is asking the problem solver or math writer to write essays or long-winded explanations. We’re only asking them to make their logic clear: a good presentation forces them to make their thinking clearer to others, and that would help them to avoid ambiguity. Pedantry and ambiguity, no; clarity and simplicity, yes!
Clear Writing Is Clear Thinking
It’s hard work to write well, or to present one’s solution unambiguously. But that’s no excuse that we can afford to be a poor writer, and not a good thinker. As math educators or contributors, we’ve an obligation to our readers to make our presentation as clear as possible. It’s not enough to present a half-baked solution, on the basis that the emphasis in solving a math problem is to get the correct answer, and not waste the time to write grammatically correct sentences or explanations.
I Am Not a Textbook Math Author, Why Bother to Be Precise?
As teachers, we dread about grading students’ ill-written solutions, because most of us don’t want to give them a zero for an incorrect answer. However, if we’re convinced based on their argument that they do know what they’re doing, or show mathematical understanding or maturity of the concepts being tested, then we’d only minus a few marks for careless computation.
Poorly constructed or ill-presented arguments, mathematical or otherwise, don’t make us look professional. Articulating the thinking processes of our logical arguments helps us to develop our intellectual maturity; and last but not least, it makes us become a better thinker—and a better writer, too.
