Kindergarten and first grade
learners have achieved mental mastery of all addition/subtraction
facts.
·
First graders have mastered the reading of whole number numerals
up to
hundreds of trillions and instantly named the value and place value of
each digit.
·
Second graders have mastered multiplication
facts, multiplication (two or more digits by one digit) and long
division.
·
Fourth/fifth graders have mastered “seventh
grade math.”
·
Whole classes of fifth/sixth graders in the
most disadvantaged communities have “passed with flying colors”
statewide exams in Algebra I traditionally reserved for the brightest
ninth graders (outperforming, by a wide margin, the brightest ninth
graders selected to take the same exam in the same community).
These national
precedents have been accomplished by means of our unique perspectives on
children’s real gifts for learning mathematics:
·
Children’s gift for learning their native language is universal
because virtually all children speak a language.
·
The gift for accelerated learning of
stories is universal because virtually all children “assimilate” stories
rapidly without the intention to learn them.
·
The gift for learning a language works by
making connections among, and thereby deciphering meanings from “bits”
of verbally expressed information.
·
Children effortlessly learn stories because
their minds are “wired” in such a way that they cannot resist
assimilation of content they perceive as connected and flowing (they
enjoy anticipating where the story is going).
·
The universal gift for learning is our
capacity to perceive connections, thereby synthesizing meanings and
achieving retention.
·
The effortless activation/engagement of
this awesome universal gift by a story is a result of the “packaging” of
its content: the connection and flow of it.
·
The vast majority of parents and teachers
agree that they experienced the content of mathematics (first through
eighth grade and beyond) as disconnected and fragmented; not as
connected and flowing.
·
Although untruths and meaningless
statements, by witnesses to a crime, deactivate the detective’s gift for
making the connections among fragments of information (clues) that solve
it; truths on the other hand, activate/engage the gift and enormously
facilitate its solution.
·
A serious examination of teachers’
traditional math verbalizations will clearly show that the vast majority
of their daily classroom statements are either untrue or meaningless.
·
If the above is true (and we have been very
successful in communicating its truth to teachers), then rather than
activating /engaging students’ awesome and universal gift for learning,
traditional math education deactivates it!
·
Mastery of world class mathematics by
virtually all children is inevitable when their mental gifts are
activated by teachers’ truthful/meaningful math
verbalizations and the math content is
packaged as connected and flowing.

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