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Bar-Modeling Orthogonality

When incorporating Singapore’s bar model method—the problem-solving visualization strategy to tackle word problems—at the elementary school level and its aim to develop students’ pre-algebraic thinking skills (before they are introduced to formal algebra) are not often partially achievable or necessarily correlated in practice.
Wallet-friendly Singapore math textbooks, workbooks, and teachers’ resources on their own doesn’t guarantee problem-solving mastery—bar-modeling orthogonality seems to be a constant in many traditional American classrooms, often because of teachers’ or parents’ faux perception that a foreign math curriculum or publication is harder (or even inferior) than their local inch-deep-mile-wide one.
by Numerati December 5, 2024
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Bar Modeling

The mathematical equivalent of a child riding a tricycle before switching to a bicycle, or using a float while learning to swim—using bar diagrams instead of forming algebraic equations to solve word problems.
Bar modeling, which is the heart and soul of the Singapore math curriculum, acts a bridge between elementary (or primary) math and middle school (or secondary) math—where concrete rectangles or bars are used instead of abstract variables for unknown quantities.
by Numerati December 28, 2024
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The Modern Muse

The muse has persisted through centuries, arousing some of the finest artistic and literary works. The same concept still holds true in a contemporary setting as we now define the muse, in the simplest of understandings, to be a source of inspiration (generally in relation to the arts).
The Modern Muse The muse has persisted through centuries, arousing some of the finest artistic and literary works.
by Abundance Love January 12, 2025
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Mindful Modeling

When the conscious effort of coming up with an apt model drawing that connects the knowns and unknowns in a math word problem can enhance the readability or elegance of a solution—when a “look-see” proof could arouse an aha! in the problem solver.
If only more math educators were to practice mindful modeling, the number of students or homeschoolers embracing Singapore’s bar model method could potentially increase ten folds in no time.
by Numerati June 11, 2025
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pre-est modernism

When God was thinking about creating Himself; as far from postest modernism as 3 superlative terms.
Pre-est modernism is the only concept as equally offensive to both Christians as it is to atheists.
by PoonForce2 February 18, 2010
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pre-er modernism

When a monkey looked at the world, and realized that some things are things, and some things are not things.
The emergence of pre-er modernism was so radical that it caused a poop-flinging war that has raged through the ages and now goes by the name "philosophy".
by PoonForce2 February 18, 2010
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call of duty modern warfare 4

A shitty FPS from the Call of Duty series where there is literally only one good mission (yeah the sniping one) and in multiplayer you get killed by a grenade before the screen even lights up.
~ Hey bro let's play some Call of Duty Modern Warfare 4
– Nah it's shit man
by JigglesTheDog June 26, 2017
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