Why Singapore Mathematics? | Classical Education at Home
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- Опубліковано 21 вер 2024
- A short description of the key components of the world's best mathematics curriculum. Hillsdale College helps K-12 teachers and parents to bring classical education back to America's schools.
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Hillsdale College is an independent institution of higher learning founded in 1844 by men and women “grateful to God for the inestimable blessings” resulting from civil and religious liberty and “believing that the diffusion of learning is essential to the perpetuity of these blessings.” It pursues the stated object of the founders: “to furnish all persons who wish, irrespective of nation, color, or sex, a literary, scientific, [and] theological education” outstanding among American colleges “and to combine with this such moral and social instruction as will best develop the minds and improve the hearts of its pupils.” As a nonsectarian Christian institution, Hillsdale College maintains “by precept and example” the immemorial teachings and practices of the Christian faith.
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By training the young in the liberal arts, Hillsdale College prepares students to become leaders worthy of that legacy. By encouraging the scholarship of its faculty, it contributes to the preservation of that legacy for future generations. By publicly defending that legacy, it enlists the aid of other friends of free civilization and thus secures the conditions of its own survival and independence.
I am an educational therapist who has studied physiological psychology and cognitive psychology (and I have a degree and a teaching credential for math.) The part of the brain that activates for mathematics is the tactile system at the top of the brain. Yes! we use the "feeling" part of the brain for math! That is why it is so important for young children to do lots of counting with their pointer finger. The tactile sensation will actually build the neural connections that become the quantity concepts. If a child does not have enough of this counting experience he will not understand what "oneness, twoness, fiveness, ... tenness , etc is. Humans first learn through their senses, the more senses used, the easier the learning ... touch, seeing, hearing. Once a child has counted enough (touching the object, saying aloud its number name, seeing it), then he can move to just drawing the object, and finally after enough practice at this stage, to the abstract stage alone (in reality he will be able to visualize the objects in his head without any physical representations.) when I teach math I ALWAYS start at the physical tactile level!! --Even at the Algebra level!!
I'm 36 and public school educated and went far in math easily. I don't remember anything but memorization in math - no manipulatives. I can picture numbers and structures in my head. My kid is having a hard time with manipulatives and wants to do everything math-related in her head as well. I wonder what the psychological explanation for this is.
@@threearrows2248 Consider yourselves very fortunate! I would speculate that you have very strong visual skills! ... Most individuals need much physical experience before they are able to visualize. THAT is the normal sequence, first tactile, then visual. I have worked with students who have visualization deficits. This makes "word problems" very difficult. To compensate I teach them how to carefully read the problem and then draw a picture on paper of the information in the problem. This often really helps. They cannot "see" in their heads, but if they see on paper, they "get it."
Thats really intersting. My doubt is that if it is possible to use this approach in high school math, do you have any hint?
@@jhonybraavo You bet! ... All math comes from the physical world ... for example when teaching algebra, one can use the Math You See materials which contains colored rods of various sizes that demonstrate the concepts of a simple and quadratic equations. Geometry is full of physical models that can be used to demonstrate geometric properties (e.g. why a x a + b x b = c x c , right triangle formula). For algebra 2 I used a chart with 2 foci and an elliptic string to demonstrate the various parts of a third degree equation. All of this is lots of fun! As time has past and man has been inventive, he has developed more levels of math to represent his problem solving ideas/concepts. ... But, most important, if a student never developed adequate "number sense" as a primary student (counting out 1, 2, 3, etc), higher levels of math with remain an abstract mystery!!
We are in year two (now 5th grade) of Dimensions Math (the USA newly released Singapore Math) and it is so different from what we are accustomed to - it feels odd - that I started to look online at more traditional math programs. Then I saw this video series about Singapore pop up! I am a great admirer of Hillsdale and so I took a deep breath, reminded myself why we wanted to go this route in the first place, and will continue on! I so want my last three to love math - a struggle my first three had all through 1-12. Thank you for the encouragement.
how it went, sir?
@@hellachan8080 we’re still doing it! 3rd and 4th grade and high schooler transitioned from final Dimension book to videotext math for algebra I and II.
@@heidib.4089 great!
I graduated high school in 1967. I learned to do addition and multiplication in my head by separating the ones, tens, hundreds, etc. into groups, which simplified the problem-solving. I see numbers as groups. Sometimes I see numbers as a vertical scale with narrow and wide lines separating by tens and fifties and hundreds. All sorts of visual methods for making math easier. 6x12 = (6x10 + 6x2)
Seems puzzling now that using such higher math strategies found in algebra are objected to in Arithmetic by many U.S. adults just because it has 'Common Core' label.
I am from Singapore and learning all these Singapore Maths for my whole education life, I added using excel for my work!!!
Awesome man, i love signapore my favorite Country from Asia!!
Common Core is similar. Singapore Math has a CC version. CC opponents reject the idea wihout researching the motives & goals.
Same
Once, children grew up on family farms or helped in (2-parent, functional) families where muscular activity promoted abstracting formats into 2's, 3's, 4's, 5's, etc.. Scandinavian schools may still use "recess" to muscularly incorporate concepts into abstract knowledge. The 60's cast aside those "old paths" and castrated our brains.
OMG THANK YOU SO MUCH Hillsdale! I've been following your Imprimus pamphlets for a while but thank you for making this. I'm starting to homeschool my 5 year old in California this year and it's so hard to find the latest in education without being a teacher or former teacher, or watching an annoying lady on here. Love you guys and I hope my children attend your college in 12 years!
Except for 'Mother Tongue' (/Malay/Chinese/Tamil) subjects, English has been the medium through which all subjects are taught in schools since the phasing out of ethnic (Malay/Chinese) schools. And that was way back in the 1960s/early 1970s. The Singapore Mathematics model system was developed in 1982. So, like Renee Lee pointed out, by the time the model system is taught in Singapore schools, English has always been the only language used in all schools. There is no such "shift in instruction to English" event ever happening as mentioned in the video. That didn't happen.
To be fair, even in the 80s, many children struggled with English because it was not their first language spoken at home
When the abstract picture model system implemented in Singapore, I believe English is already spoken by at least 60 to 70 percent of the population.
People from Singapore will tell you that they speak Singlish not English. Here's the difference. ua-cam.com/video/1AnPurpl81c/v-deo.html
@@Inkling777 singlish is more of a cultural identity thing for us. However it has never been considered as an actual language we use officially outside of day-to-day casual interactions to one another. For example you may see Singaporeans speaking/texting to each other in singlish, but it has never been a means to replace english under more formal circumstances. It is more of a informal slang we use with each other comfortably than an actual language we formally integrate into our society
It doesn’t consider the faculty of memory, capacity of association and confidence to develop towards higher levels. Used Singapore for 4 years and things got terrible! Had to study a lot to know why and find out the reason.
I am from Singapore the only math I’m good at is counting paper money.....😆
Lmao 😂
Try counting paper money for the dead.
Agree...!!! Haha....
Money maker baby! You got This man!
lets see, a pile of 1's, a pile of 5's, a pile of 10's. Work everything into piles of 10 and count the piles.
Sorry folks but I learned basic math in the 50's and it was taught using columns of ones, tens , hundreds, etc and the "carry" of anything over 10 into the next column. I have tried to help my grandkids and this crap boggles the mind. The kids can get the correct answer but can't seem to get the "work" to get there.
I really appreciate this mans red pants and brown belt combo, are those corduroy?
Looks to me like maroon or burgundy stretch denim.
This is the most memorable comment.
Pray an act of perfect contrition everyday
Do you have any suggested online learning resources that mirror your K-12 curriculum?
We have a 7th grader at a classical academy who would greatly benefit from having a secondary source for her daily lesson. Anything you could reference us to (paid or free) would be greatly appreciated.
Could u clean the chalkboard cleanly so one can see what you’ve written?
Amazing! Thanks for sharing!
I don't know if he ends up using chalk on a chalkboard, but the thought alone is enough to make me close the video. Can't do it lol
ppl complain about Common Core for doing the same!
Amazing that ppl object to the algebraic or higher math approach!
Sorry but the way I was taught Algebra and the way that it is done today I come up with 2 differnt answers... BTW, the average person NEVER uses algebra.
Brilliant 👏
Cant read not clean enough, need to change the duster. White board is better.
This is a dumbed-down version of the New Math. You should just teach set theory from the beginning.
How about American math where we skip to the abstractions since we speak English and can therefore get to the point & just do the equation.
Singapore mathematics has very little understanding, it's more about remembering pattern and equation application, you can win competition but you cannot go very far in academia and discovery.
I agree with Hock Yak. I'm a product of the Sg education system (up to high school), went overseas for college and now am in academia. The rote learning method that was taught to me was certainly very useful in ensuring I got my A's in uni (go pattern recognition!), and also allowed me to calculate things fast, but ultimately I realized that it did not give me a good training in logical and deductive reasoning. Maybe I'm an isolated case, but looking at my peers I think it's a common outcome in the sense that they viewed (and still view) math as formulae memorization. As a testament to the efficacy of the system they can still cite the quadratic formula "x = - b plus-minus square root b-squared minus four a c divided by 2 a" off the top of their heads
I mean, that's not to say some drilling and practice isn't good, and if your aim is solely just to score in exams then Sg mathematics is great for that. And certainly compared to systems of other countries, this particular system is better in achieving the same outcome. But just bear in mind the costs of adhering to one teaching dogma or philosophy :)
@@nervxxx I agree with both of you. My son (11yo) is being taught with the aim to score well in tests, but not for life.
Looking at another subject: composition. The kids have to use certain "smart" words and the structure they can write up the story is very fixed and firm. No individuality or a development of an individual style is permitted. Result: Compo's of children are pretty good but read all very similar.
I personally believe the system in use had a sense when the schools and education in Singapore were still at lower status. It served well in the past to bring the standard of schooling up fast. But it should have been modified and adapted to modern world since a long time already.
Look at speakers in the parliament and compare them to parliament speakers of other countries. Mrs. Josephine to me is typical. There is no personal offence intended. It is my opinion her grammar is horrible, her sentences often lack a logical flow, her reasoning often is hard to follow, she speaks with many repeats. Compare her speaking and presentation skills to speakers from Germany, the UK, Australia, South Korea. OMG.
@@nervxxx well the alternative in the US right now is not being able to do math at all. 30% of public schools in baltimore city cannot produce 1 single student who can do math or read at grade level. As someone who grew up in US where there is too much emphasis on creative free thinking, children are barely able to do simple arithmetic.
@@thanhlan3732 yea well I think that says more about the current state of the American education system in general...
@@nervxxx I was merely making a point that although the singapore method may not foster creative thinking in math, the kind that is needed for university and graduate level work, it may be what is needed here to turn the state of math education around. While it lacks creativity, it may help to establish a strong basic foundation that the vast majority of american children need.
There is no such thing as S'pore math. Math is math, just taught differently at different periods, and it depends on the teacher. In primary schools, they are taught to model, usually on trivial problems like candles and balloons. It is also not about the switch to English. It just closed down the unpopular schools in the 1950s and 1960s, mostly in other languages. Currently, about 1/3 of the students do not make it to the express stream after Year 6, so it does not have a high success rate. In secondary schools and beyond, everything reverts to algebra because it is simpler, and also because methods are no longer imposed nationally from above, i.e. they take Cambridge GCE exams. In fact, S'pore is one of the few countries to stick to the colonial model. China, HK, Malaysia, Japan, Vietnam, Australia, etc have their own national middle/high school exams. In short, don't waste your time imitating.
This is an excellent example of the bizarre math being taught. The thing is....we aren’t in Singapore. American children for multiple generations did just fine with regular math. It just makes sense. - Just Say’n
And which country's kids do better in maths?
aside from the fact that we are not in the top 5 smartest countries....... that says somthing
Yea than simple, adapt and overcome. Being American doesn’t give u an excuse to not learn from the way people in other countries study. I mean it will sure be tough to convert ngl but that doesn’t mean it’s impossible.
I grew up in several parts of the world. A variety of continents. My math was shaped most through the GSCE system and was very rigorous. I finished 10th grade (O levels) and came to the US. I was accepted into college with my documents, SAT, ACT scores etc so skipped 11th and 12th grade. And math was boring in college even then. I flew through the first 2 years of college math. Finally Linear Algebra in Junior year challenged me again. Just to give a glimpse of how math level is here and really…nothing to be proud of.
Look at Singapore's education number:
ua-cam.com/video/23Iyf7jtbLw/v-deo.html
Does Singapore math use the abacus to make numbers concrete-meaning touchable and seeable-to small children. This program does: brainchildlearningcenter.com/courses/abacus/
I do not think the schools do but some private tuitions do.