What is Differentiating: Definition and 269 Discussions

Differentiated instruction and assessment, also known as differentiated learning or, in education, simply, differentiation, is a framework or philosophy for effective teaching that involves providing all students within their diverse classroom community of learners a range of different avenues for understanding new information (often in the same classroom) in terms of: acquiring content; processing, constructing, or making sense of ideas; and developing teaching materials and assessment measures so that all students within a classroom can learn effectively, regardless of differences in their ability. Students vary in culture, socioeconomic status, language, gender, motivation, ability/disability, learning styles, personal interests and more, and teachers must be aware of these varieties as they plan in accordance with the curricula. By considering varied learning needs, teachers can develop personalized instruction so that all children in the classroom can learn effectively. Differentiated classrooms have also been described as ones that respond to student variety in readiness levels, interests, and learning profiles. It is a classroom that includes and allows all students to be successful. To do this, a teacher sets different expectations for task completion for students, specifically based upon their individual needs.Differentiated instruction, according to Carol Ann Tomlinson, is the process of "ensuring that what a student learns, how he or she learns it, and how the student demonstrates what he or she has learned is a match for that student's readiness level, interests, and preferred mode of learning." Teachers can differentiate in four ways: 1) through content, 2) process, 3) product, and 4) learning environment based on the individual learner. Differentiation stems from beliefs about differences among learners, how they learn, learning preferences, and individual interests (Algozzine & Anderson, 2007). Therefore, differentiation is an organized, yet flexible way of proactively adjusting teaching and learning methods to accommodate each child's learning needs and preferences to achieve maximum growth as a learner. To understand how students learn and what they know, pre-assessment and ongoing assessment are essential. This provides feedback for both teacher and student, with the ultimate goal of improving student learning. Delivery of instruction in the past often followed a "one size fits all" approach. In contrast, differentiation is individually student centered, with a focus on appropriate instructional and assessment tools that are fair, flexible, challenging, and engage students in the curriculum in meaningful ways.

View More On Wikipedia.org
  1. D

    Differentiating composite functions

    i have bee strugglignwith thes ethree questions for some time now done the 1st one like 8 times :S - rewrite each of the following in the form y=u^n or y=ku^n, and then differntiate 1) y = ((1 + x^1/2)/ x^2/3))^3 i started this by doing writing it out as y = [(1+x^1/2)(x^-2/3)]^3 then i...
  2. G

    Differentiating compound functions

    I have been happilly solving away a multitude of different questions until the book threw me this curve ball...10^(3x) My first attempt was as follows: let y=u^3 and u=10^x dy/du = 3u^2...du/d10 = x(10^(x-1))...3x(10^2x(10^(x-1)))...3x(10^(3x-1)) the answer given in the book however is...
  3. T

    Having some trouble differentiating

    I'm having some trouble differentiating x^{\sqrt x } . I know that the derivative of x^{\sqrt x } probably begins with x^{\sqrt x } \cdot \ln (x) \cdot \frac{1}{{2\sqrt x }} but once the base is also x then there is probably more to it than that. Anyone?
  4. C

    Differentiating Trig Identities: Example

    How can I use trig identities to let me differentiate \sin \left ( x + \frac{\pi}{2} \right) and 3 \sin x - 2 \cos x?
  5. R

    Differentiating [ sin(1/ln(x)) / x ] solution?

    [SOLVED] differentiating [ sin(1/ln(x)) / x ].. solution? hello all. I do not have the solution to this question that I am about to ask. But if you find the time, try this solving this problem and feel free to type your answer and compare with mine. differentiate :: sin(1/ln(x)) / x my...
  6. E

    Quick Help - Differentiating

    What are the rules for differentiating tan, sin & cos? I know cos = -sin tan = sin/cos?
  7. K

    How can I differentiate a spline using a finite difference scheme?

    Hello I have made a simple spline(x,y) of 4 datapoints and I want to differentiate it. I can't get it to work; I have tried fntlr, fnder ect. Can anyone help? Karin
  8. ?

    Differentiating tanh: Step-by-Step Guide

    I've been given a couple of problems to do, which I'm unable to because before looking at the question i'd never even HEARD of tanh, which is just... lovely of my lecturer :grumpy: anyway, i had a look around on some websites & fiddled around with it on my calculator and i now have some...
  9. B

    How do you differentiate a scalar field with exponentials?

    Hey again, well i just studying several vaiable calculus, and encountered the problem of finding the gradient of the scalar field: f = ye^(xy) now I could successfully find the i component (y^2.e^(yx)) but I am having some trouble with the j component. f = ye^{(yx)} if my...
  10. T

    Integrating and differentiating the number e.

    In calculus, my work has recently involved integrating and differentiating the numer e, of which I am very unsure of how to do. I set up some examples for myself to try to figure out, could anyone tell me if they are correct? Please correct me if I am wrong, or tell me where I have made a...
  11. S

    Exploring the Discontinuity of Differentiating x^2

    If you differentiate x^2 , you get 2x . But now, if you right x^2 as x+x+x+x+x+x... x times, and then differentiate, you get 1+1+1+1+1+... = x What's wrong. Is it the discontinuity arising from the fact that multiplication can be converted to addition only in integers.
  12. H

    "Proof of a Formula for Differentiating x^p with Respect to y

    Let y = x^p where p is a natural number. Is it true that \frac{dx^n}{d^ny} = \frac{p!}{(p-n)!} \cdot x^{p-n} with the restriction that we define (-n)! \equiv \infty for n=1,2,3... I found this formula and I believe that it is true if we define (-n)! to equal \infty .
  13. B

    News Differentiating the american goverment from americans

    After scanning these post, it is obvious that much of the world is (rightfully) against the war in Iraq and are also anti-american. In your person experience to most people differentiate the actions of the american government from americans in general? I myself being an american am often...
  14. P

    Differentiating x^y + y^x + (lnx)^x etc

    How can this be done? I don't even know how I would begin.. How would you differentiate stuff like x^(y^(x^y))? Where y is a function of x, not a constant of course..
  15. A

    Finding the Derivative of a Function with Arctan

    http://www.eden.rutgers.edu/~cjjacob/images/arctan.gif I was given this problem yesterday. It's asking me to differentiate a function containing arctan. Should I find a common denominator and combine them into one term, should I just differentiate each term separately? Please I need help...
  16. J

    Differentiating electromagnetic field

    For question 3, i don't know ho to differentiate the electromagnetic field. Can someone help me?
  17. D

    Differentiating mult-variable equation

    Any ideas for solving this, I am having trouble using implicit differentiation along with using log differentiation, thanx!: x^3 + x tan^-1 y = e^y
  18. A

    How do I simplify the expression Differentiating Integrals?

    Hello, My question has to do with differentiating an integral. We are given: f(x)=1/2\int_{0}^{x} (x-t)^2 g(t)dt And we are asked to prove that: f'(x)=x\int_{0}^{x}g(t)dt - \int_{0}^{x}tg(t)dt My Solution: I expanded (x-t)^2 into x^2-2xt+t and then expanded...
  19. I

    Differentiating ln x from first principles

    Hi all. For any of you who have done differential calculus, I need a little help with a problem involving natural logarithms. The question asks to differentiate y = ln x from first principles . It says "use the definition of the Euler number, namely e = lim(n->inf.) (1+1/n)^n.". First...
Back
Top