Real example of Common Core "New"
math
LOOK at the difference
Old fashioned way vs New
Way -(Common Core Way)
Trying to understand the New Way made me almost hate
math for a brief moment and I normally love it. The amount of
APATHY and FRUSTRATION this causes children (trying to learn this NEWFANGLED
way) is immeasurable!
How much longer are you going to put up
with THIS? Do you like your children/grandchildren being experimented on
with Math curriculum that has never been proven to increase math skills?
What are you waiting on before you ACTIVELY protest?
There are already studies showing how far behind students with this new "Investigation" style math are getting compared to peers that are taught other math methods such as traditional and combination.
There are already studies showing how far behind students with this new "Investigation" style math are getting compared to peers that are taught other math methods such as traditional and combination.
The following article might
help you understand the difference between new reformed math (like Common
core) and traditional mathhttp://www.educationnews.org/ education-policy-and-politics/ reform-math-the-symptoms-and- prognosis/
The article confirms that new reformed maths
(experimental) reject traditional methods even though they have been proven to
work. I've concluded the authors of NEWFANGLED maths are ones that
didn't do as well as their peers in high school or college so they are just
pushing what they think they would have liked better even though there's no
evidence that it increases students ability to master math skills nor that it
doesn't make them hate math.
Here's a quote from the above
article:
"Why don’t those arguing
for better math education (and who insist they are using a balanced approach)
look at what those students are doing who are succeeding in pursuing majors in
science, engineering or math? If they did, they would see students learning
standard algorithms and practicing many drills and problems (deemed dull,
tedious and “mind numbing”) and other techniques that they believe do not
result in true, deep, and authentic understanding."
I've been trying to educate and warn the public and
you about how Common Core Math is a REFORMED Math with ZERO evidence based
methods but it seems to fall mostly on DEAF ears.
Reform Math: The Symptoms And
Prognosis
by Robert
Craigen and Barry Garelick It is obvious to many parents that something is off
in their children’s math classes: Instead of learning math facts and standard
methods, their kids must use cumbersome procedures, find multiple ways to do
simple tasks, and explain in writing what they have done. In general, they
need more [...]
by Robert
Craigen and Barry Garelick
It is obvious to
many parents that something is off in their children’s math classes: Instead
of learning math facts and standard methods, their kids must use cumbersome
procedures, find multiple ways to do simple tasks, and explain in writing what
they have done. In general, they need more help than their parents did when
they were in school.
For two decades
now parents and children have been collateral damage in a struggle that has
come to be known as the “math wars”. Opinion is sharply divided on how best to
teach K-12 math. The tension is between conventional, or traditional,
instruction versus what is known by various names including “reform math” (to
proponents), or “fuzzy math” (to critics).
Reform math
differs from the conventional approach in many ways. To help parents ascertain
whether their children are being exposed to reform math-borne illnesses, we
have set out a brief guide to key symptoms of a reform math
approach.
The
Symptoms
“In the past
students were taught by rote; we teach understanding.” First, ‘rote’
literally means ‘repetition’ — and this is a good idea, not a bad one. Second,
it is simply false that teaching was without understanding — by design, in any
case — in the past. There have always been teachers who taught math poorly or
neglected to include a conceptual context. This does not mean that
conventional math was/is never taught well.
Under reform
math, students are required to use inefficient procedures for several years
before they are exposed to and allowed to use the standard method (or
“algorithm”) — if they are at all. This is done in the belief that the
alternative approaches confer understanding to the standard algorithm.
To teach the standard algorithm first would, in reformers’ minds, be rote
learning. But this out-loud articulation of “meaning” in every stage is
the arithmetic equivalent of forcing a reader to keep a finger on the page,
sounding out every word, every time, with no progression of reading skill.
Alternatives become the main course instead of a side dish and students can
become confused — often profoundly so.
“Drill and
kill is bad.” Reformers believe that making students do repetitious ‘rote’
exercises will deaden students’ souls and impede true mathematical
understanding. Actually the reverse is true: repetitive practice lies at the
heart of mastery of almost every discipline, and mathematics is no exception.
No sensible person would suggest eliminating drills from sports, music, or
dance. De-emphasize skill and you take away the child’s primary scaffold for
understanding. As for killing fun, that all depends on the spirit of the
exercise. Drills are boring only if they are made boring.
“The guide on
the side, not the sage on the stage.” “Guide on the side” is
also known as “student-centered learning”. Sounds wonderful until you realize
it means that it reduces the teacher to a mere facilitator of holistic
“inquiry-based” or discovery learning experiences. Students teach themselves.
Providing information directly is regarded as “rote learning” – and a bad
thing. Recent meta-studies in cognitive science by Sweller et
al, and Mayer,
have shown that “minimal guidance instruction”—the corresponding term in that
field — is a very poor way to teach novices, though it has some merit for
teaching experts. To be clear, “novices” would include elementary school
children when learning arithmetic and 7th and 8th grade
students learning algebra.
“‘Just in
time’ learning.” This approach prescribes giving students an
assignment or problem which forces them to learn what they need to know in
order to complete the task. The tools that students need to master are
dictated by the problem itself. For example, students might first encounter
long division in a lesson, late in their education, about repeating decimals,
where it is an essential ingredient. Many reformers consider long division too
tedious and unproductive to teach until it is absolutely needed. The question
of how repeating decimals work supposedly motivates students to overcome this
barrier. This is like teaching someone to swim by throwing them in the deep
end of a pool and telling them to swim to the other side. The teacher shouts
the instruction to the students, who are expected to swallow the method whole
along with mouthfuls of pool water, in one go. The students who by some
miracle make it to the other side are apt to say, “I don’t know how I got
here, but I sure don’t want to do that again!”
“Ambiguity is
a great way to learn.” Another aspect of discovery learning. It reveals an
underlying pattern that dominates Reform/Fuzzy math: it has no bottom-up
structure, lacks coherence, and uses deliberately confusing elements to force
a child to decide for themselves how to do this or that, and what, if
anything, constitutes a correct answer. While children are psychologically
unsuited for lack of structure and ill-defined expectations, reformers hold
that “struggle is good”. For experts, struggle is suitable; e.g., an expert
swimmer may struggle to perfect a swim stroke whereas a novice may struggle to
keep from drowning—a struggle that doesn’t teach them how to
swim.
“Flip the
classroom!” Flipped classrooms can be implemented in a number of ways, but
a trend emerging in poorly implemented reform math programs is the class
becoming a homework-like learning-lab environment. The student is
expected to learn at home by watching videos on the internet — videos
consisting of direct instruction on mathematical procedures. The direct
instruction of the classroom is often replaced with “stimulating and engaging
activities”. This puts the onus on children to (1) have access; (2) be in a
good home environment; and (3) self-motivate to pick up the lessons. But if a
student does not understand something in the video, the rest of the lesson is
not going to make sense. How much time does the teacher have the next day — in
a lesson packed with inquiry-based activities — to backfill what students
didn’t understand from the video?
And another
inconvenient question: Isn’t the education community’s avalanche-like
acceptance of the flipped classrooms a tacit admission that learning
procedures is important?
“We’re making
students think like mathematicians.” Professional mathematicians are often
puzzled at what is meant by this. Mathematicians know that students need both
to master procedures and to have a basic understanding of their conceptual
underpinnings. Reformers make the mistake of not distinguishing between how
novices learn and how experts think. Reformers are often heard to exclaim, “I
wish I had understood it this way when I was learning it”. But children do not
have that adult’s many years of experience. Denying them the foundational
mastery to acquire mathematical expertise deprives students of essential
formative experiences.
“Group
learning.” Working in groups is not limited to just math classes. It has
been a trend over the past two decades that shows no sign of letting up. Group
work can be a healthy supplement to teacher-driven lessons or for highly
social kids. But it is an inefficient way to get through a lesson in which new
technical skills are to be learned. Here are four groups for which this
approach is a particularly bad idea: (1) very poor performers—who shrink from
participating and can panic at exposure among peers; (2) very high
performers—who resent that others in the group look to them to carry the
burden, (3) students with social handicaps—for obvious reasons; and (4)
students with communication deficits—such as, but not limited to, having a
different native tongue as classmates.
The Prognosis
Finding a cure
for a system that refuses to recognize its ills has proven futile. Parents
confronting school administrators are patronized and placated. School
officials will agree and say something like, “Yes, students should learn math
facts and procedures (and we do this!). Yes, teachers ought to actually
teach, (and we do this!). And yes, students should do drills (and we do
this!)” This is all followed with: “We use a balanced approach,”
which is often followed with: “We’re saying the same things; we’re in
agreement”
The purpose of
these bromides is twofold: 1) to make everyone feel good, and 2) to make
parents go away. Pressed to define what “balance” means, the reform camp will
say, “Show why things work first to gain understanding; then use the
understanding to teach traditional mathematical operations!”
Such statements
reveal internal biases about priorities — priorities that intrinsically lack
balance. Whether understanding or procedure comes first ought to be driven by
subject matter and student need — not by educational ideology.
And in answer to
the statement that we’re all saying the same thing: No. We’re not saying the
same thing at all.
Why don’t those
arguing for better math education (and who insist they are using a balanced
approach) look at what those students are doing who are succeeding in pursuing
majors in science, engineering or math? If they did, they would see students
learning standard algorithms and practicing many drills and problems (deemed
dull, tedious and “mind numbing”) and other techniques that they believe do
not result in true, deep, and authentic understanding.
But such an
outcome based investigation is not occurring. Some parents whose
children are not doing well in math believe what they hear from school
administrators that, “Maybe your child just isn’t good at math.” Parents
who recognize the inferior math programs in K-6 for what they are get their
children the help they need. Unfortunately, parents who lack the means have
fewer options.
Robert
Craigen is associate math professor at University of Manitoba and
co-founder of Western Initiative for Strengthening Education
in Math (WISE Math).
Barry
Garelick has written extensively about math education in various
publications including The Atlantic, Education Next, Educational Leadership,
and Education News. He recently retired from the U.S. EPA and is teaching
middle and high school math in California. He is co-founder of the U.S. Coalition for
World Class Math.
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