introduction to an integrated approach

... extended language work The Language Model The most common approach to literature in the EFL classroom is what Carter and Long (1991) refer to as the ‘language-based approach Such an approach ... knowledge of lexical and grammatical structure Moreover, an integrated approach to the use of literature offers learners strategies to analyse and interpret language in context in order to recognize ... separation of literature from language is a false dualism since literature is language and language can indeed be literary It is not difficult to find instances of standard transactional forms of discourse...

Ngày tải lên: 06/09/2013, 10:10

... serve as an excellent update and review for current primary care physicians and other primary care professionals, and as an opportunity for specialists to expand their primary care knowledge and skills ... October 19-21, 2005 San Francisco, California ■ Pain Management and End-of-Life Care: A Comprehensive Approach to Patient Care June 9-10, 2005 San Francisco, California ■ Advances in Internal Medicine ... Clerkships Salim D Islam, MD Assistant Professor of Anesthesia and Perioperative Care; Medical Assistant Chief, Director of Quality, Kaiser Permante, San Francisco George F Sawaya, MD Associate...

Ngày tải lên: 14/03/2014, 14:20

... by: Nand Wadhwani, Executive Director, Rehydration Project Tel: +506 656-0504 Prepared by: Nand Wadhwani, Max Pitman and Ami Mody Name of Project: Health Education to Villages: an integrated approach ... families and communities, and individuals who work hard to contribute to those communities Too many of these individuals die before having a fair chance at life, and many more live, but are left to ... diarrhoea and water-related diseases, there is no time to wait It is the moral responsibility of governments, private organisations, and civilians – of anyone who can help – to work toward ending...

Ngày tải lên: 22/03/2014, 15:21

Ngày tải lên: 17/04/2014, 14:57

... application mode, topography and meteorology, crop factors and land and water use) Results from risk models will provide Vietnamese planning authorities with tools for guiding future landuse development, ... been successfully transferred to research teams in two universities (Hanoi University of Science and University of Agriculture and Forestry, Ho Chi Minh City), and to a national analytical institute ... strategies in order to minimise their impact on the environment Analysis of pesticide residue Develop an data and input information into integrated system to GIS technology to produce risk assess...

Ngày tải lên: 22/06/2014, 13:20

... change with constant rate of change, 712–714 difference between left- and right-hand sums and, 718–722 explanation of, 712 with nonconstant rate of change, 715–718 overview of, 711–712 Newton, ... Instantaneous rate of change calculation of, 170–178, 208 derivative and, 209–211, 711, 983 explanation of, 170, 176, 523 velocity and, 170, 173 Instantaneous velocity average velocity to approximate, ... Conjecture, 335 Constant factor property, 738 Constant function, Constant Multiple Rule, 291–292 Constant of proportionality, 306n Constant rate of change calculating net change in case of, 712–714...

Ngày tải lên: 05/07/2014, 18:20

... An Integrated Approach to Functions and Their Rates of Change P R E L I M I N A R Y E D I T I O N ROBIN J GOTTLIEB H A R V A R D U N I V E R S I T Y Sponsoring Editor: Laurie Rosatone Managing ... offer “Exploratory Problems.” These are integral to the text, and some are referred to in later sections Exploratory problems can be incorporated into the course in many ways, but the bottom line ... intended to facilitate learning deductive and inductive reasoning, learning to use examples and counterexamples, and learning to understand the usefulness of a variety of perspectives in devising an...

Ngày tải lên: 05/07/2014, 18:20

... cases and to use numerical, graphical, and analytic methods to investigate problems We ask that you think about the answers you get, compare them with what you expect, and decide whether your answers ... mathematical ideas and tools To learn mathematics successfully you need to actively involve yourself in your studies and work thoughtfully on problems To otherwise would be like trying to learn to be a ... questions Like a branching road, a single inquiry can lead down multiple paths A path may meander, may lead to a dead-end, detour into fascinating terrain, or steer a straight course toward your destination...

Ngày tải lên: 05/07/2014, 18:20

... vessel and blood pressure, an economist in the relationship between the quantity of an item purchased and its price, a grant manager in the relationship between funds allocated to a program and ... mathematical language in perspective Consider the word “subway,” meaning an underground railway The word conveys a meaning; we associate it with the physical object A Bostonian, a New Yorker, and a Tokyo ... chances are that you’re at a bus stop The symbol takes on a life of its own when a Bostonian says, “I’ll take the ‘T’ downtown.” On the other hand, New Yorkers look for an “M” (for Metropolitan...

Ngày tải lên: 05/07/2014, 18:20

... stocks, and the rest on bonds Let s be the amount he puts into slow-growth stocks, 2s be the amount he puts into riskier stocks, and b be the amount he puts into bonds Then s + 2s + b = 2000 We can ... g is 1 -to- 1 because every output is used only once The function f is not 1 -to- 1 because one output corresponds to more than one input (infinitely many in this case) N Chances are that many of ... times may indicate a bus stop; we can discern the meaning by the context Similarly, A(r) may sometimes be used to indicate the area function and other times be used to indicate the output associated...

Ngày tải lên: 05/07/2014, 18:20

... discussions, so we’ll pause for a moment to clarify the meaning of an “if and only if” statement Language and Logic: An Interlude “A if and only if B” means “A and B are equivalent statements.” Using ... want to confuse pounds of sugar cane with pounds of panda Question: How many calories does the panda need for one day? C calories · x lbs of panda = Cx calories lbs of panda Question: How many ... unit analysis to help us We’re looking for the number of pounds of sugar cane it takes to support a panda weighing x pounds for one day In order to use unit analysis constructively we’ll need to...

Ngày tải lên: 05/07/2014, 18:20

... For instance, suppose you were to calculate the value, V , of the change in your pocket V is a function of q, d, n, and p, where q, d, n, and p are the number of quarters, dimes, nickels, and pennies, ... 1 -to- 1 and a function g that is not 1 -to- 1 1.3 Representations of Functions 39 The graph of a function is given in Problems 16 through 22 Determine the range and domain Is the function 1 -to- 1? ... function is the range of f ; if f maps a to b then its inverse function maps b to a.16 EXERCISE 1.4 Given the graph of a function, how can we determine whether the function is 1 -to- 1? 15 The conventions...

Ngày tải lên: 05/07/2014, 18:20

... of r (k is a constant.) (d) Suppose the manufacturer decides to switch to plastic lids and bottoms to eliminate the taping problems Assume that custom-made plastic lids and bottoms cost 7k cents ... bikes X miles and walks Y miles to get to work Assume that X, Y , B, H , M, and R are all constants The amount of time it takes the commuter to get to work varies with how long he has to spend at ... The proportionality constant k is the price per pound; at any given time and store it is fixed The proportionality constant may vary with the season and the specific store (a) The cost of a piece...

Ngày tải lên: 05/07/2014, 18:20

... is 1 -to- 1 Answers to Exercise 2.8 (a) g and h are even functions (b) f and j are odd functions (c) The graph of an odd function is said to have symmetry about the origin What does this mean? Graph ... Absolute Values To look at the absolute value of a quantity is to look only at its magnitude, to make it nonnegative 66 CHAPTER Characterizing Functions and Introducing Rates of Change Analytic Principle ... graphing calculator to look at the graph of a function you can set the range and domain so that the scales are very different You should be aware that your choice of domain and range can make the line...

Ngày tải lên: 05/07/2014, 18:20

... (Show that your answer agrees with the answers you obtained in parts (a), (b), and (c).) (e) Illustrate your answers to parts (a), (b), and (c) by sketching f (x) and drawing secant lines whose ... bottle and discussing how a change in the volume of water changes the height In the case of a cylindrical beaker we saw that the ratio change in height change in volume is constant We refer to this ... N A trucker drives west a distance of 240 miles stopping only once to get gas He begins the trip parked at a truck stop and ends the trip parked at another truck stop The trip takes him hours...

Ngày tải lên: 05/07/2014, 18:20

... around when her velocity changes sign (either positive to negative or vice versa) This occurs at 11:30 a.m v She stops for an instant to turn around at 11:30 a.m and stops again at 3:15 p.m., when ... function maps it to +1 N f x –1 Figure 2.22 A computer or graphing calculator can be an extremely useful tool, but, like any tool, it has limitations Try using your machine to the following exercise ... 2x + See if you can use your calculator to find the exact values of the zeros and turning points of this function (Some calculators can this.) The answers are: √ √ zeros: x = + and x = − √ turning...

Ngày tải lên: 05/07/2014, 18:20

... than 0.05 (Either use the “zoom” feature of your calculator or change the domain until you can answer this question If your calculator has an equation solver, use that as well and compare the answers ... instant In order to find the instantaneous rate of change of f it is necessary that f be a continuous function, that its graph have no holes or jumps Answers to Selected Exercises Answers to Exercise ... their hot dry climate, the ancient Egyptians and Babylonians have left modern historians more evidence of their mathematical development than have the people of other ancient civilizations The...

Ngày tải lên: 05/07/2014, 18:20

... How many widgets must the company sell in order to break even? (Breaking even means that the profit is 0; the total cost is equal to the total revenue.) (g) Suppose the Cambridge Widget Company ... subtracting total costs from the total revenue (d) How many copies must they make per month in order to break even? Breaking even means that the profit is zero; the total costs and total revenue ... functions p and g A demographer is interested in the changing economic profile of a certain town If the population of the town at time t is given by P (t) and the total aggregate income of the town at...

Ngày tải lên: 05/07/2014, 18:20

... x –3 –4 –2 –3 –1 –2 –4 21 You put $300 in a bank account at 4% annual interest compounded annually and you plan to leave it there without making any additional deposits or withdrawals With each ... dollars has been in the bank, and gives as output the balance in the account 116 CHAPTER Functions Working Together 22 f (x) = 2−x and g(x) = x + Find the following Simplify your answers If simplifying ... time, when a store provides coupons offering $5 off any item in the store they include the clause “except for sale items.” Suppose that clause were omitted and you found an item you wanted on a...

Ngày tải lên: 05/07/2014, 18:20

... (where k is a constant) relate to that of y = f (x)? You might want to break your answer into cases depending upon the sign of k and whether |k| is greater than, less than, or equal to i Does multiplying ... the peaks and valleys change? iii Do the heights of the peaks and valleys change? Alterations to both input and output (a) Let p(x) = − (x + 3)2 − Interpret the graph of p in terms of transformations ... Learning to ask and answer questions that help you retain information is a large part of being a mathematician or scientist More Transformations of Output In addition to shifting, stretching, and...

Ngày tải lên: 05/07/2014, 18:20