What is General math: Definition and 20 Discussions
Integrated mathematics is the term used in the United States to describe the style of mathematics education which integrates many topics or strands of mathematics throughout each year of secondary school. Each math course in secondary school covers topics in algebra, geometry, trigonometry and analysis. Nearly all countries throughout the world, except the United States, follow this type of curriculum.In the United States, topics are usually integrated throughout elementary school up to the eighth grade. Beginning with high school level courses, topics are usually separated so that one year a student focuses entirely on algebra, the next year entirely on geometry, and then another year of algebra and later an optional fifth year of analysis (calculus). The one exception in the American high school curriculum is the fourth year of math, typically referred to as precalculus, which usually integrates algebra, analysis, trigonometry, and geometry topics. Statistics may be integrated into all the courses or presented as a separate course.
New York State began using integrated math curricula in the 1980s, but recently returned to a traditional curriculum. A few other localities in the United States have also tried such integrated curricula, including Georgia, which mandated them in 2008 but subsequently made them optional. More recently, a few other states have mandated that all districts change to integrated curricula, including North Carolina, West Virginia and Utah. Some districts in other states, including California, have either switched or are considering switching to an integrated curriculum.Under the Common Core Standards adopted by most states in 2012, high school mathematics may be taught using either a traditional American approach or an integrated curriculum. The only difference would be the order in which the topics are taught. Supporters of using integrated curricula in the United States believe that students will be able to see the connections between algebra and geometry better in an integrated curriculum.
General mathematics is another term for a mathematics course organized around different branches of mathematics, with topics arranged according to the main objective of the course.
When applied to primary education, the term general mathematics may encompass mathematical concepts more complex than basic arithmetic, like number notation, addition and multiplication tables, fractions and related operations, measurement units.
When used in context of higher education, the term may encompass mathematical terminology and concepts, finding and applying appropriate techniques to solve routine problems, interpreting and representing practical information given in various forms, interpreting and using mathematical models, and constructing mathematical arguments to solve familiar and unfamiliar problems.
I would appreciate if someone could help me to understand what is happening in section 12.3 from the Howard George's book.
First of all, the propose of the section is to show how $SU(3)$ decomposes into $SU(2) \times U(1)$. But i can't understand what is happening. First of all, i can't get the...
I want to calculate eccentric anomaly of all points of ellipse-circle intersection.
Ellipse is not rotated and its center is in origin.
Circle can be translated to (Cx, Cy) coordinates.
I am using python for calculations.
Only solution I found, is this...
Hi, PF
There are two ways to write domain and range of a function: through set notation, or showing intervals.
I've chosen the set notation, and, for ##y=\csc x##, this is the attempt:
$$\text{D}:\{x\,|\,x\not\in{n\pi},\,n\not\in{\mathbb{Z}}\}$$
$$\text{R}:\{f(x)\,|\,x=\mathbb{R}\(-1,1)\}$$...
I'm playing a Steam game called Shapez wherein the goal is to produce and deliver given shapes to the Hub by conveyor belt.
In the screencap you can see resources of discs and squares and well as green and red, which are to be extracted, chopped up and recombined to form the "product"...
TL;DR Summary: ##(1+ \frac1x)^2 - (1-\frac1x)^2##
##(z+2)^2 -5(z+2)##
Upon simplifying the first I get ##\frac4x##. So isn’t the first expression fractional?
Upon simplifying the second I get a Quadratic expression.
TL;DR Summary: How do you take notes for math?
Hello, I'm wondering how everyone here takes notes for their math classes. In all my most recent math classes we just have a packet we work through that's a combination of problems that the teacher guides us through and that we do on our own for...
I have Abstract Algebra Course, and my teacher is using the book, "Abstract Algebra" of David S. Dummit, and Richard M.Foote. This book, and other books which my teachers are using for the courses, seem to give definitions, theorems, and problems, in no historical order or are not mentioning the...
I need help to convert 2 variables A,B into 1 representative variable C, which is used to filter A,B:
Below is an example with C=A+B, which makes Set 2 the highest value:
Set 1: A=65, B=75, C=140;
Set 2: A=50, B=100, C=150;
Set 3: A=54, B=90, C=144;
Set 4: A=72, B=72, C=144;
Set 5: A=71, B=73...
Is it true that if you have a good understanding of proof based math courses( like Real Analysis), courses based in computations( like Calculus) become relatively trivial ? And I have another doubt. Do I need to know Real Analysis to formulate Calculus problems and exercises ? Or, is a rigorous...
Let f and g be twice differentiable real-valued functions. If f'(x) > g'(x) for all values of x, which of the following statements must be true?
A) f(x) > g(x)
B) f''(x) > g''(x)
C) f(x) - f(0) > g(x) - g(0)
D) f'(x) - f'(0) > g'(x) - g'(0)
E) f''(x) - f''(0) > g''(x) - g''(0)
The correct...
the question statement is2. In a course, a student's final exam is weighted twice as heavily as his midterm exam. If a student receives a score of 84 on his final exam , 90 on his midterm, what is the average for his courses?
now i am pretty confused should I have to know the total marks for...
Homework Statement
Homework Equations
The Attempt at a SolutionHi, so this is just a general question about how math homework should be submitted. I seem to change between formats, and I'd like to finally get an answer on how I should be doing things.Say I'm working on a problem with a formula...
General Math "Light" Reading
Was wondering if anybody would like to recommend or just discuss any general books you may know about concerning math in general, be it historical, biographical or some of the other general works that are out there.
I'm curious about what I keep seeing in the...
looking at the quantum mechanical harmonic oscillator, one has the differential equation in the form:
\frac{d^2\psi}{du^2}+(\alpha-u^2)\psi=0
when a person who doesn't know any physics sees the equation, he will try a serial solution for psi, and he will find a solution with some recursive...
Can anyone recommend a good book for me to review general math such as fractions, decimals, percenttages, and division etc.. those are my weakest points in math, and I would like to strenghten them a bit.
Do you all know of any great books that focus on general math? I'd like to begin reading voraciously into mathematics and such so what are they? The only one I can think of is Euclid's "The Elements".