Algebra Essays (Examples)

Algebra How Algebra Can Be

By observing x on the graph, then we make the connection that the slope of x on the graph represents rate of change of the linear function.

Once we have done this, it is then possible to move to the development of a quadratic equation and see what the impact of the increase (or perhaps decrease) means to the data. Have we proven that the rate of change is linear? The graphical representation of the data may be misleading, so it would be good to be able to calculate the rate of change to see if it is significant.

We could assign to value of L1 to the year in which the students are enrolled collect this data in columnar form, still graphing it on our graph. We would then call L2 the number of students enrolled every year which corresponds to the year we have listed in L1. In…… [Read More]

Algebra the Use of Scientific

Those studying physics and astronomy, and perhaps other scientific disciplines as well, are accustomed to the use of scientific shorthand and in some fields it is essential -- the example above of distance between energy waves from supernovae is a good example. There is a high level of variation in these distances, so a shorthand like the one on financial statements would be apply, but the numbers are very small so the use of shorthand is necessary. It is interesting to note, however, that even those in fields accustomed to scientific notation sometimes avoid it, as is the case with distances between objects in space.

Another group that does something similar to astronomers is the archaeologists. They have found ways to talk about years without using scientific notation, even though events often date back millions or billions of years. Yet, when discussing the science behind dating their samples, they will…… [Read More]

Algebra All Exponential Functions Have as Domain

Algebra

All exponential functions have as domain the set of real numbers because the domain is the set of numbers that can enter the function and enable to produce a number as output. In exponential functions whatever real number can be operated. (-infinity, infinity)

You have ln (x+4) so everything is shifted by 4. The domain of ln (x+4) is now -4 < x < infinity (Shifting infinity by a finite number gives you infinity again.) So,-4 < x < infinity is the domain of ln (x+4).

(2 [less than] t [less than] infinity)

For your function f (t) = 5.5exp (t) the function is continuous for all values of t as exp (t) is continuous for all values t, i.e. The domain of the function is -oo < t < oo

2a. subtracting 3 on the inside the function moves it 3 units to the right, that's the only…… [Read More]

Algebra Trigonometry 10

Algebra -- Trig --

Writer's Note: The symbol "n" should really be referred to as "pi" or "?" To prevent confusion within the problem. Also, there is a difference between "squared" and "square root." The case in these problems is to use the square root, so "sqrt (number)." I've only managed the calculations because I have presumed the indicated changes.

Using the periodic properties of trigonometric functions, find the exact value of the expression

cos-

cos (8?/5) = cos (2? + (2?/5)) = cos (2?/5) = cos (72) = 0.31

cos (8?/5) = 0.31.

The point P. On the unit circle that corresponds to a real number t is:

{ 5-2 6 squared}

} Find csc (t)

P is on the unit circle, therefore the coordinates are (cos (t), sin (t)). This leads to the following calculations:

sin (t) = -2sqrt (6)/7, and csc (t) = 1/sin (t) = 1/(-2sqrt…… [Read More]

Algebra -- Trig Evaluate the Determinant

Algebra -- Trig

Evaluate the determinant: | 3-9 |

Determinant of a square matrix can be solved by the following equation: A = ad -- bc, where a = 3, b = 9, c = 6, and d = 4. Therefore, A = (3)(4) -- (9)(6) = 12 -- 54 = -42

Solve the following system of equations using matrices:

y + 4z = 6, 2x + z = 1, x + 5y + z = -9

[ 1-5-1 | -9 ]

Row 2: R2 -- 2R1 = [ 2-0-1 | 1 ] -- 2[ 1 -1-4 | 6 ] = [ 0-2 -7 | -11 ]

Row 3: R3 -- R1 = [ 1-5-1 | -9 ] -- [ 1 -1-4 | 6 ] = [ 0-6 -3 | -15 ]

New matrix:

[ 0-2 -7 | -11 ]

[ 0-6 -3 | -15 ]

Row 2: R2/2 =…… [Read More]

Algebra Trig Solve the System 7x

Algebra, Trig

Solve the system: 7x + 3y = -2, -7x -- 7y =

(7x + 3y) + (-7x -- 7y) = (-2 + 14) 7x + 3y -- 7x -- 7y = 12 -4y = 12 y = -3

Substituting y for the first equation: 7x + 3(-3) = -2 7x -- 9 = -2 7x = 7 x = 1

x = 1, y = -3.

Solve the system: x + y = -5, x -- y = 12

(x + y) + (x -- y) = (-5 + 12) x + y + x -- y = 7 2x = 7 x = 7/2

Substituting x for the first equation: 7/2 + y = -5 y = -5 -- (7/2) y = -17/2

x = 7/2, y = -17/2.

Solve the system: y -- 3z = -12, -2x + y + 2z = 5, 2x + 3z…… [Read More]

Algebra or Geometry Have No Use in

algebra or geometry have no use in "real" life, many people think that statistical analyses have no possible real-world applications. However, as the following scenario should make clear, statistical analysis can be extremely helpful in assessing quality control issues in the workplace. Using a specific type of statistical analysis, the supervisor at a former workplace was able to reduce costs while increasing customer satisfaction.

Analysis of variance (more generally referred to as an ANOVA test) is one of the most basic statistical tests that can be applied to a data set. It is used to provide an accurate way to compare the results from different groups (defined in ways that are relevant to the issue at hand). Such comparisons are useful because they provide information that allows processes to become more efficient or to meet other goals, such as increasing customer satisfaction.

For a number of years I have worked…… [Read More]

Intermediate Algebra Background for Martha

3b. One method that can be utilized to help Martha with applying algebra to real world application is through interactions within her environment that will allow her to utilize these skills. Another method proven useful in building applicable skills and communication is online conferencing. This tool utilized in the class room can give Martha access to knowledge from other professors and learners that could not normally be possible in a standard classroom. A professor that may specialize in a specific method on how to understand certain terms or expressions would be able to share these applications with students globally through virtual conferences. Technological Horizons (1993), recant the significance of videoconferencing by reporting that the characteristics of videoconferencing may actually enhance the learning process. Teachers and administrators say that students who take distance education classes are scoring higher on basic skills tests than those who are in the same classroom with…… [Read More]

Representation in Algebra A Problem

2007, p. 115). Likewise, a study by Wyndhamm and Saljo found that young algebra learners were more successful in their problem-solving efforts when collaborating in a group environment. According to these researchers, "An experiment involving 14 small groups of Swedish students (usually 3 per group) aged 10, 11, and 12 years shows that these students acting in groups and creating shared contextualizations were able to solve mathematics word problems calling for real-world knowledge. Research has shown students acting alone to have difficulty with the same types of problems" (Wyndhamm & Saljo 1997, p. 361). Other teachers report that algebra story problems can help make learning more relevant to young people's lives. For instance, according to Homann and Lulay, "Algebra story problems are an important practical application of mathematics since real-world problems usually do not arise in terms of equations but as verbal or pictorial representations. The problems are solved by…… [Read More]

Coding Relational Algebra Operations Varies From School

Coding relational algebra operations varies from school to school. I wrote it according to my training, but there are variations. Review and rewrite in own words so as to preclude plagiarism.

What is a relation schema? What is the difference between a relation, a relation schema, and a relational schema?

A relation schema is the basic information that describes a table or a relation. This includes the set of column names, the data within the columns, or the name associated with the entire table.

For example 'Students' would be the relation (I..e category) name.

The relation schema for students may be expressed as following:

Students (sid: string, name: string, login: string, age: integer, gpa: real)

It has five fields or columns each having names or types.

The relation, in other words, is the topic / category (e..g 'student'), the relations schema is the property categories of the relation, or of…… [Read More]

Intermediate Algebra the Formula Is C 4D -1 3B

Intermediate Algebra

The formula is C=4d^-1/3b

D= 23,245 because it is the pounds

B= 13.5 because that is the height of the mast

C=4(23,245)^-1/3(13.5)

Because the exponent was negative it needed to be dropped down to the numerator. The fact that it was a fraction meant that 92980 needed to be cubed, since it was a 1/3 exponent. Then it could be multiplied with the B. value, which was 13.5 / This left the final answer to be 283.693745115.

C=4d^-1/3b

d=64b3/c3

In order to solve for D. you needed to move 4 and the variable D. To the other side. Then you have to log both sides, which leaves an exponent of 3 instead of -1/3.

This formula could definitely be very important in the real world. For one, it is needed to be able to properly sail a boat in various conditions. It is extremely important to understand the…… [Read More]

College Algebra

College Algebra

Individual Project

Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work.

Solve algebraically and check your potential solutions:

x = -4 does not satisfy the equality. So the answer is only x = 5

Show the steps that you would take to solve the following algebraically:

Show your work here:

c) What potential solution did you obtain? Explain why this is not a solution.

This is not a solution because it makes the original equation indefinite. It makes the denominator zero.

The following function computes the cost, C (in millions of dollars), of implementing a city recycling project when x percent of the citizens participate.

a)

Using this model, find the cost if 60% of the citizens participate?

Answer:

million dollars

b)

Using this model, determine the percentage of participation that can be expected if $4 million…… [Read More]

College Algebra

College Algebra

Graphing Transformations

a) Given the function f (x) = x^2 complete the following table. Must show all work for full credit.

f (x)

Show Work:

When x = 0, f (x) = f (0) = (0)^2 = 0.

When x = 1, f (x) = f (1) = (1)^2 = 1.

When x = 4, f (x) = f (4) = (4)^2 = 16.

When x = 9, f (x) = f (9) = (9)^2 = 81.

When x = 16, f (x) = f (16) = (16)^2 = 256.

b) Using the table from part a, graph the function f (x) = x^2 . For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List.

c) Given the function f (x) = (x +1)^2 complete the following table. Must show all work for full credit.

f (x)

Show Work or…… [Read More]

Business Math and Algebra

Managerial Math

Solve each of the following equations for the unknown variable.

a) 15x + 40 = 8x -

15x +49 = 8x

49= -7x

b) 7y - 1 = 23-5y

Y=

c) 9(2x + 8) = 20 - (x + 5)

= 15-x

d) 4(3y - 1) - 6 = 5(y + 2)

Y = (20/7)

Bob Brown bought two plots of land for a total of $110,000. On the first plot, he made a profit of 16%. On the second, he lost 4%. His total profit was $9,600. How much did he pay for each piece of land?

X= price of the first plot

Y= price of the second plot

X+Y= 110,000

.16x-.04y=9600

x=110,000-y

.16(110,000-y)-.04y=9600

17600-.16y-.04y=9600

y=40,000

x=110,000-40,000=70,000

A major car rental firm charges $57 a day with unlimited mileage. A discount firm offers a similar car for $24 a day plus 22 cents per mile. How far…… [Read More]

College Algebra

Solve the following quadratic equation by factoring:

A) X2 + 6x -16 = 0

(x-2) (x+8)= 0

(x+2) (x-8) = 0

x=-2, x-8

b) solve the quadratic equation 6x2 +3x-18 = 0 using the quadratic formula x= - b +/- ?(b2- 4ac)

+/- ?[32- (4*6*-18c)]

x = 3/2; x= 2

c) Compute the discriminant of the quadratic equation 2x2-3x - 5 = 0 and then write a brief sentence describing the number and type of solutions for the equation.

If x= - b +/- ?(b2- 4ac), then (b2- 4ac) is the discriminant b2- 4ac= -32- (4*2*-5) = 49

There are two solutions for the equation, 1 and 2 1/2, which one gets by plugging the discriminant into the quadratic formula and solving for x.

Use the graph of y=x2+4x-5 to answer the following:

a) Without solving the equation or factoring, determine the solution(s) to the equation, x^2 + 4x -…… [Read More]

Business Algebra and Math

Financial Polynomials

Solution for the problem: (-9x3 + 3x2 -- 15x)

The division process for the polynomial above can be approached in the same way as dividing whole numbers. The polynomial (-9x3 + 3x2 -- 15x) is the dividend, while (-3x) is the divisor. To easily facilitate the division process, the whole equation will be multiplied by "-1." The new equation is: (9x3 -- 3x2 + 15x) / (3x). Writing the question in long division form, begin dividing (9x3) first by (3x), which is equal to (3x2). To cancel the first part of the equation, the first part of the quotient must be negative. Thus, 3x2 becomes (-3x2). Place (-3x2) above the division bracket as shown below.

) 9x3-3x2 + 15x

Multiply (3x) by (-3x2), which is equal to 9x3. Placing 9x3 below (-9x3) then subtract them, resulting to zero. The remaining parts of the equation must be divided in…… [Read More]

Algebra in Daily Life it

There are many other variables that would affect real-world riding speed, and the effort variable would also be far more complicated than represented here, but this should suffice for now. Several equations can be written using the variables defined here. For instance, to calculate the effort needed to go one kilometer (it's easier to go kilometers than miles, at least mathematically), or a thousand meters, in a given gear, the equation would look like this:

T) / G = E, where M. is the distance (in meters) of the journey, T is the circumference of the tire -- and therefore also the linear distance, G is the number of revolutions the tire goes per push of the pedal, which changes from gear to gear, and E. is the number of times the pedals have to go around, which is representative of the effort needed to push the bike forward for…… [Read More]

Algebra Trigonometry

Algebra, Trig

Algebra-Trig

Find the slope of the line that goes through the following points: (-4, 6), (-8, 6)

Slope: m = (y2 -- y1) / (x2 -- x1) = (6 -- 6) / (-8 -- (-4)) = 0 / (-4) = 0

m = 0.

Determine whether the given function is even, odd or neither: f (x) = 5x^2 + x^

To test a function for even, odd, or neither property, plug in -- x for x, and simplify.

f (-x) = 5(-x)^2 + (-x)^4 = 5x^2 + x^4.

Because the final expression remains the same for -- x, it stands that the function is even.

f (x) is even.

Find the slope of the line that goes through the following points: (-1, 1), (-2, -5)

Slope: m = (y2 -- y1) / (x2 -- x1) = ((-5) -- 1) / ((-2) -- (-1)) = (-6) / (-1) =…… [Read More]

Algebra Suppose You Have a

f (x) = 3 if x>2 otherwise f (x) = -2 Function: every x value corresponds to only one f (x) value

c. f (x) = 7 if x>0 or f (x) = -7 if x… [Read More]

Algebra Trig Find the Radian Measure of

Algebra, Trig

Find the radian measure of the central angle of a circle of radius r = 4 inches that intercepts an arc length s = 20 inches.

The formula for an arc length is a = r?, where'd is the arc length, ? is the central angle in radians, and r is the radius. That said, s = 20, r = 4, and ? is unknown.

= 5 radians

The central angle is 5 radians.

In which quadrant will the angle 100 degrees lie in the standard position?

The angle of 100 degrees will lie in Quadrant II.

In which quadrant will the angle -305 degrees lie in the standard position?

The angle of -305 degrees will lie in Quadrant I.

Find the length of the arc on a circle of radius r = 5 yards intercepted by a central angle 0 = 70 degrees.

The formula for an…… [Read More]

Algebra Trig Given F X -3X

Algebra, Trig

Given f (x) = -3x + 2 and g (x) = 2x + 9: find (g 0 f)(x)

(g 0 f)(x) = 2(-3x + 2) + 9 = -6x + 4 + 9 = -6x + 13

(g 0 f)(x) = -6x + 13.

Given f (x) = 5x + 7 and g (x) = 5x -- 1: find (f 0 g)(x)

(f 0 g)(x) = 5(5x -- 1) + 7 = 25x -- 5 + 7 = 25x +

(f 0 g)(x) = 25x + 2.

Given f (x) = 5x + 4 and g (x) = 3x -- 8, find fg = f (x) * g (x) = (5x + 4)(3x -- 8) = 15x^2 -- 40x + 12x -- 32 = 15x^2 -- 28x --

fg = 15x^2 -- 28x -- 32.

Given f (x) = 2 -- 2x and g (x) = -6x +…… [Read More]

Algebra Trig Perform the Indicated Operation and

Algebra, Trig

Perform the indicated operation and simplify completely: (x + 10)(x^2 + 9x - 8)

(x + 10)(x^2 + 9x - 8) = x^3 + 9x^2 -- 8x + 10x^2 + 90x -- 80 = x^3 + 19x^2 +82x --

Perform the indicated operation and simplify completely:

(5x + 5) / (5x + 9) + (5x + 13) / (5x+9)

(5x + 5) / (5x + 9) + (5x + 13) / (5x+9) = (5x + 5 + 5x + 13) / (5x + 9)

= (10x + 18) / (5x + 9) = 2(5x + 9) / (5x + 9) = 2

Perform the indicated operation and simplify completely:

(8x^6 + 7x^3 + 3x) + (3x^6+5x^3 -5x)

(8x^6 + 7x^3 + 3x) + (3x^6+5x^3 -5x) = 8x^6 + 7x^3 + 3x + 3x^6 + 5x^3 -- 5x

= 11x^6 + 12x^3 -- 2x

Perform the indicated operation and…… [Read More]

Algebra Lesson Plans and Curriculum for the

Algebra Lesson Plans and Curriculum for the 7th Grade Classroom

The National Council of Teachers of Mathematics (NCTM) provides a comprehensive set of principles and standards for developing curriculum for grades K. through 12th. Chapter two of their text Principles and Standards for School Mathematics specifies the six principles considered vital for the development of a coherent math plan. The principles are general enough to apply across a wide variety of disciplines as they are "not unique to school mathematics." (p. 16). However, chapter three dealing with the ten standards, themselves, makes quite clear (and rightly so) that math, unlike other disciplines, can benefit from a truly integrated approach: "Because mathematics as a discipline is highly interconnected the areas described by the Standards overlap and are integrated." (p. 30). In other words, the standards cannot be easily divided into particular grade levels (i.e. numbers/operations in K-2, geometry in 3-5, algebra…… [Read More]

Algebra Many Times When Purchasing

05x)

Option for Plan B:

$20 + (0.10x)

Determine the best option given two plans

Step 1: $30 + (0.05x) = $20 + (0.10x)

Step 2: Subtract (0.05x) from both sides-

$30 + (0.05x) -- (0.05x) = $20 +(0.10x) -- (0.05x) ? $30 = $20 + (0.05x)

Step 3: Subtract $20 from each side-

$30 - $20 = $20 -$20 + (0.05x) ? $10 = (0.05x)

Step 4: Divide both sides by (0.05) to isolate x:

$10 / (0.05) = (0.05x)/(0.05)

200 = x

After making 200 phone calls, both plans will break even so it doesn't matter which plan you are choosing if you are making 200 phone calls.

If you plan on making less than 200 phone calls, then one should assign a random value to x less than 200:

$30 + (0.05 x 100)= $35

$20 + (0.05 x 100) = $25

If making less than 200…… [Read More]

XML Physical Evaluation of XML

One such body is the American National Standards Institute or ANSI which is a non-profit private organization that surprisingly institutes standards the industry accepts voluntarily. Other influential standards organizations include the Institute of Electrical and Electronic Engineers or IEEE and the Organization for Standardization or ISO. The IEEE was the organization that defined LAN standards in the Project 802 or the 802 series. These projects could be the blueprints that could be used to make XML more effective by using PAT Algebra Operators for query needs.

XML PAT Algebra Operators

The internet is based on a foundation of distributed hypertext. There is also plenty of proof that the internet could be regarded as a large distributed database where there are million to billions of queries processed daily. "XML is too slow an exchange format for any large volume of data transfer. It is fine for exchange of small amounts of…… [Read More]

Secondary General Education Case Study

Another way to help the students learn Algebra is to show them real-world problems where they can see what the purposes are for learning Algebra and how they would use Algebra. One of the ways to do this would be bring in parents or other adults that use Algebra in their day-to-day careers or jobs. They could explain why they used Algebra and how they used Algebra.

A learning objective for this subject would be "the student will use mean, median, mode and range in a set of ten problems and get seven to eight of the problems correct." The student will be able to explain or demonstrate how they arrived at their answers. They may use calculators, but still must show the steps used to find the answers.

One example that could be used in the classroom is to have each student take their pulse rate and write it…… [Read More]

Araybhata's Contributions to Mathematics &

..an approximation for ?, which is surprisingly accurate. The value given is: = 3.1416. With little doubt this is the most accurate approximation that had been given up to this point in the history of mathematics. Aryabhata found it from the circle with circumference 62832 and diameter 20000. Critics have tried to suggest that this approximation is of Greek origin. However with confidence it can be argued that the Greeks only used ? = 10 and ? = 22/7 and that no other values can be found in Greek texts." (Indian Mathematics, 2009)

There is stated by Selin (2001) in the work entitled: "Mathematics Across Cultures: The History of Non-Western Mathematics" to be "...no evidence of the method for extracting cube roots having been known earlier than Aryabhata I." (Selin, 2001)

Conclusion

Aryabhata made great contributions to mathematics and algebra and his greatest contribution to Algebra was that of his…… [Read More]

Education the Lesson Has a

The method the teacher uses encourages students to discover the answers for themselves rather than accept the right answer as a matter of rote learning. finally, the class is frequently divided into groups, both small and large. The groups vary to encourage maximum student interactions. Through cooperative learning the students share their suggestions and brainstorm. Finally, the teacher employs some self-directed learning strategies that allow students to ponder the equations on their own for brief periods of time. This helps the teacher make assessments during class while it also helps the students work independently.

D. The lesson addresses a variety of learning styles and intelligences.

Another major strength of this lesson is the way it addresses a variety of learning styles and intelligences. Algebra is traditionally taught using the abstract method; students must visualize the concept of alphabetical variables. The notation used in traditional algebraic equations might work for students…… [Read More]

Modeling Real-World Data With Sinusoidal

6. The rabbits will never die.

The question was how many male/female rabbit pairs will be there after a year or 12 months?

When the experiment begun, there is a single pair of rabbits.

After duration of one month, the two rabbits have mated though they have not given birth. As a result; there is still only a single pair of rabbits.

After duration of two months, the initial pair of rabbits will give birth to another pair. There will be two pairs.

After duration of three months, the initial pair will give birth again, the second pair mate, but do not give birth. This makes three pair.

When four months will elapse, the original pair gives birth, and the pair born in the second month gives birth. The pair that is born in month in the third month will mate, but will not give birth. This will make two…… [Read More]

Real Number Is Assigned to Each Statement

real number is assigned to each statement written in a language, within a range from 0 to 1, where 1 means that the statement is completely true, and 0 means that the statement is completely false, while values less than 1 but greater than 0 represent that the statements are partly true, to a given, quantifiable extent. This makes it possible to analyze a distribution of statements for their truth-content, identify data patterns, make inferences and predictions, and model how processes operate.

Read the following instructions in order to complete this assignment, and review the example of how to complete the math required for this assignment:

Use the properties of real numbers to simplify the following expressions:

2a (a -- 5) + 4(a -- 5)

3(w -- 4) -- 5(w -- 6)

(0.3m + 35n) -- 0.8(-0.09n -- 22m)

Problem #1

2a (a-5) +4(a-5) I multiply 2a by each term…… [Read More]

Attribute Hiearchy Critique of the Journal Article

Attribute Hiearchy

Critique of the Journal Article "Using the Attribute Hierarchy Method to Make Diagnostic Inferences about Examinees' Cognitive Skills in Critical Reading" by Changjiang Wang and Martin J. Gieri

Gierl, M.J., Wang, C., & Zhou, J. (2008). Using the attribute hierarchy method to make diagnostic inferences about examinees' cognitive skills in algebra on the SAT. Journal of Technology, Learning, and Assessment, 6(6). Retrieved from http://www.jtla.org.

One problem with evaluating the effectiveness of different types of test questions is that it is often unclear why students get particular exam questions wrong (or right). The SAT is a particularly controversial and challenging test and can have a long-lasting impact upon a college applicant's life, depending on what score he or she receives. Thus, effective analysis of SAT questions for veracity is essential to be fair to the high school students that take the test.

The purpose of the study by Gierl,…… [Read More]

Finance it Is With Great

Stories detailing the rise and fall of the Egyptians, the Roman Empire and other great nations proved mesmerizing and intriguing.

My interests in other areas have also been diversified; I have pursued many adventures, participated as president of many clubs, and won many competitions in music, sports, dance and more. My strength has always been academics however. During high school I was presented the unique opportunity to come to the United States and continue my education. It was here that I decided to study history initially. Though my parents pressured me to study finance or business, I found such work tedious at least initially. I did however entertain my parents and begin taking more classes in finance. This was probably the best decision I have ever made and helped create the professional I am today.

The more I learned the more I came to understand that finance was more than…… [Read More]

Jaime Escalante Hero Teaching Hope

movie Stand and Deliver (Menendez & Musca, 1988), which is based on the true story of Jamie Escalante, an individual who overcame ethnic, cultural, and socioeconomic issues to become a highly successful mathematics teacher. Discuss the beliefs he held and the strategies he employed in his classroom that contributed to high achievement levels in his students.

The final report of the National Mathematics Advisory Panel (2008) presents a three-pronged argument for an effective math curricula: 1) It must foster the successful mathematical performance of students in algebra and beyond; 2) it must be taught by experienced teachers of mathematics who instructional strategies that are research-based; and, 3) the instruction of the math curriculum must accomplish the "mutually reinforcing benefits of conceptual understanding, procedural fluency, and automatic recall of facts" (National Mathematics Advisory Panel, 2008, p. xiv). Jamie Escalante began teaching before this report was released, but he knew from experience…… [Read More]

Logarithm History and Modern Applications

e. all loans. The same basic formulas using logarithms can be used to calculate the needed number of investments and/or the time period of investments at a given growth rate that will be needed in order to reach a target level of investments savings (Brown 2010). Both of these applications have very real implications for many individuals, whether they are trying to buy a home or planning for their retirement, as well as a n abundance of other issues related to personal banking. Logarithms are not only useful in highly technical scientific pursuits and investigations, then, but are directly applicable and necessary to situations that directly relate to and have an effect on people's daily lives.

What I found most interesting and surprising about the development of logarithms is that they are something that needed development in the first place. I suppose it is similar to having taken any invention…… [Read More]

Resume Project My Strengths Include

Again, I should have a strong feel for current trends and innovations in software design and technology, including those at Microsoft and those being developed by competitors. Beyond software success, I should have many examples handy of how I have displayed leadership and effective group management in the software development environment.

Finally, I must prove to the interviewer that I am ready and capable enough to handle working in a team environment in an international branch of the Microsoft Corporation. I should be aware of the current trends and conditions that are specific to Shanghai and should know how to respond to questions concerning how I will adapt to the language and cultural differences. By being prepared for questions and anticipating what skills the job requires I will be able to succeed in getting my dream position.… [Read More]

Neo-Confucianism Is a Philosophy Which Was Born TEST1

Database Developer (based on job I worked on).

Syntax and Semantic Analysis

-- The Syntax errors involved misuse of keywords.

The Semantic errors involved misuse of columns and tables - there were incompatible data types.

To elaborate, the syntax refers to the structure of the program and syntactic analysis checks for errors in aspects like spelling or whether ibraces are missing in which case the program would fail syntactically.

Semantic errors, on the other hand refer to the essential meaning of the content -- whether it all makes sense and whether it is accurate (for instance writing "the sun rises in the west") is a semantic error for this is incorrect. I would have to ascertain that all data placed in tables and columns was accurate in both context and form.

b. Query Transformation

I transformed the query into simplified and standardized format based on relational algebra. Some query transformations…… [Read More]

Nursing Personal Statement for My Entire Life

Nursing: Personal Statement

For my entire life, acting as a caregiver has been an integral part of my identity. I come from Cuba, and caring for the old and sick is considered to be a very important obligation. I was the child who took care of the needs of my grandmother and grandfather as they aged, as well as my father who died all too young of cancer. As emotionally difficult as these experiences were, I felt privileged to be able to do something for the people who had given so much to me. I also learned how gratifying it was to nurse someone and to provide them with a sense of self-worth and empowerment, even when they were facing their own mortality. To make this my career would be my dream come true.

I wanted to become a nurse while still living in Cuba but unfortunately Cuban nursing schools…… [Read More]

Philosophy of Education Math Field

Philosophy of Education

Norma Cunningham

I am a nontraditional student and I am returning back to college due to a job loss. I have been given a second chance at obtaining an education. Since I have been attending college, I was accepted into the nursing program, but I turned it down. I did this because I remember my dream has always been to be a math teacher. Everyone knows teachers are not in the profession for the money, and that nurses make more money, so people may ask, why a teacher? Well, I remember when I was growing up, every time someone would ask me what I wanted to be, I always answered, a math teacher. Certain teachers that I have had in the past, and present, have helped me decide that I want to spend the rest of my life teaching math. Helping any age student to learn math…… [Read More]

National and State Subject Matter Content Standards

National and State Subject Matter Content Standards for Math

According to the California standards for high school students, the geometry curriculum contains six critical components: "to establish criteria for congruence of triangles based on rigid motions; establish criteria for similarity of triangles based on dilations and proportional reasoning; informally develop explanations of circumference, area, and volume formulas; apply the Pythagorean Theorem to the coordinate plan; prove basic geometric theorems; and extend work with probability" (Common Core Standards, California Department of Education: 69). The elucidated standards are often quite specific in terms of how students are asked to apply basic concepts such as measuring angles; understanding the different properties of parallel lines; and manipulating various polygons. Not only must the students prove theorems but they must also be able to construct such shapes using a variety of methods in a hands-on fashion (Common Core Standards, 2013, California Department of Education: 70).…… [Read More]

Why I Have Chosen Teaching as a Career

Teaching as a Career

Teaching Special Education requires a gentle temperament and devotion to the children. Maturity, regardless of age, and patience is very important. A Special Education teacher must be loving, kind, and nurturing in order to make the children feel safe and secure. He or she must also be focused and creative in teaching methods. And most importantly, present a positive role model for the children. I feel that I have the qualities and experience to become an effective Special Education teacher.

My background is vast and varied. I worked as a secretary at the University of California - Los Angeles for two years. The department in which I worked dealt with the clubs and fraternities on campus, therefore, I was constantly involved with the students and problems that arose from their activities. I spent a little over two years working as an office manager for a doctor's…… [Read More]

Gordon's Adam's Petition

Gordon Adam's petition is not only well argued and properly reasoned, but, additionally, it managed to prove that all the arguments given against his petition were based on false reasoning. From the entire set of arguments, the only one that could actually be used against his argumentation was the one stating that he needed college algebra in order to "satisfy the university math requirement in order to graduate." Something like when you ask why you have to pay all kinds of different taxes: you see no real benefit, but some higher authority, in this case the state, in Gordon's case, the educational system and the college authorities, convinces you that this is necessary because it is so required!

On the other hand, because the college authorities' argumentation is based on all kind of fallacies, clearly dismantled one by one in Gordon's argumentation, it is my opinion that Gordon should be…… [Read More]

Organizational Health Educational Institutions Generally Approach Organizational

Organizational Health

Educational institutions generally approach organizational improvement by addressing the performance standards to which students, educators, and administrators are held. The standards movement has been a dominant theme in educational policy arenas and in the public eye. With roots in the 1950s Cold War mentality, the thrust of educational improvement has been prodded by perceptions of international industrial and scientific competition. If the rigor of educational standards in the nation -- according to the logic of this argument -- falls below that of other countries, our economy will falter and the balance of trade will be compromised, perhaps beyond the point of recovery.

Fears for the future of the country and our citizens run deep; these fears propel a course of action that is not particularly based on rational thinking and lacks a base of evidence. The course of action adopted by educational policy makers and educational leaders in…… [Read More]

Using Technology in a 2nd Grade Classroom to Improve Student Achievement in Math

Technology in a 2nd grade classroom to improve student achievement in math

Of late, there has been a push to bring in technology to schools where teachers as well as students would be able to reap the benefits of the World Wide Web, the Internet, and other related technologies. In many schools across the United States of America, this fact has been acknowledged and recognized, and many teachers and educators are being trained in the techniques and methods of using these technologies. However, it is also a fact that most teachers have admitted to the truth that they have not been using these technologies, simply because they do not know and they have not been taught, how to, and nor do they have the basic technical support to use these technologies effectively. Power Point, White Boards, Laptops, LCD Projectors, CDROMS, the internet, and others are some of the technologies available…… [Read More]

Problems Fostering Unemployment in America

Unemployment in America

Policy makers in the United States continuously seek the silver bullet(s) -- plural solutions because there is clear recognition that the issue is multifaceted -- that will achieve healthy levels of employment in the nation. Certainly there some paths to increasing employment in the country are less expensive than others, and proposed solutions range across a wide array of complexity and practicality. Invariably, today, education becomes a focal point for discussions and debates about how to increase employment in any nation. This is due largely to the potential promise that solutions based in education can act as levers that are sufficiently effective to induce change.

Thesis Statement

Solutions to unemployment must be developed through the perfection of the alignment between the education young American receive -- in both secondary (high school) and post-secondary (college / university) educational systems -- and the actual labor market.

In his article…… [Read More]

Improving Mathematics in Middle School

These include: question/answer, lecture, demonstration, discussion, individual student projects, laboratory, technological activities, and supervised practice. Previous research has demonstrated that the use of informal knowledge, real world settings and opportunities to apply mathematical thinking are effective instruction methods for introductory algebra. For this reason, instructional factors are related to achievement in algebra (p. 102).

When comparing the test scores from Japan and the United States, House and Telese (2008) found a correlations between positive beliefs in the student's mathematical ability and their test scores. Those who believed they could do well in math performed better than those who expressed a negative opinion about their skills, when compared to their peers. In addition, students who worked problems on their own had higher test scores. This supports Silver's (1998) analysis that much of the reason why American students have poorer test scores than their international peers is due to the classroom instructional…… [Read More]

Spiritual Principle For Unto Every

Once the concept of factoring is understood, technology can be used to assist the students with solving quadratic equations and equalities. The website (http://www.coolmath.com/algebra/) will be references, but the students will have to write explanations showing that they understand how at least two homework problems were solved.

4. By the time we are ready to learn inverse functions, students will have a review of everything learned during the school year building up to inverse functions. Again, technology will be used via (http://www.coolmath.com/algebra/). Students will again be asked to write an explanation for various homework problems demonstrating that they understand the concepts behind solving it.

Evaluation Procedures:

A quiz once per week

Midterm exam covering current quarter

Final exam covering current and previous quarters

Written homework explanations demonstrating how certain problems were solved

Review near the end of the school year for all concepts learned

End of year final exam

Resources:…… [Read More]

Middle School Math Teachers Over

These exams would also tap teaching performance and other capabilities unlikely to be adequately assessed using conventional paper along with pencil instruments." (Shulman, 1986, pp. 4 -- 14)

These different elements are important, because they are providing a foundation for helping the schools to become more competitive in mathematics. As, they are working together to create a basic standard for: improving learning comprehension and provide the ability to solve more complex issues. Over the course of time, this will help to increase the student's ability to understand a wide variety of concepts. This is the point that they will be more prepared to deal with the various challenges that they are facing in the 21 century. Once this occurs, it will help them to establish a foundation for adapting to the changes that they will have to deal with from: shifts in technology and through these transformations because of globalization.…… [Read More]

Digital Audio Over the Last

At the same time, digital audio recording also uses what is known as Boolean algebra and De Morgan's Theorem. Boolean algebra is when you are combining various binary codes and signals. De Morgan's Theorem is when you are complimenting various expressions in Boolean algebra, to more accurately represent the sound that is being heard. In digital recording, these two methods allow the various binary codes to be utilized, to specifically identify the different influxes in the various sounds. While, at the same time being able to provide, a more accurate recording of: the different noises. This is because you were able to combine the various formulas, to accurately reflect various sounds. Once this takes places, it means that actual audio recording that is being heard on the digital recorder; will more precisely reflect the various sounds that someone will hear. This is because the binary code and the Boolean algebra…… [Read More]

Butts R E 2001 Galileo In

He looks at three methods: history (melding information about the diverse geographical origins of algebra with the problems themselves), multiple representations (using notation, narrative, geometric, graphical, and other representations together to build understanding), and the object concept of function (teaching functions without generalizing about how traits of an individual relate to traits of a group). The article serves to offer some inventive solutions to a common problem in math education: How to make material relevant and compelling to a breadth of students.

Martinez, a.A. (2010). Triangle sacrifice to the gods. 1-11.

The article looks at Pythagoras, particularly the mythology surrounding his life and his most famous discovery, the Pythagorean theorem. It calls into question the historical evidence on which mathematics teachers base their teaching of this theory. The author points out how very little is known about Pythagoras and how he has been canonized by the math discipline because his…… [Read More]

Teaching Math to Students With Disabilities Education

Education: Teaching Math to Students With Disabilities

Working with students with disabilities (SWD) can be quite challenging, especially for teachers working on a full-time basis. Almost every classroom today has one or more students dealing with either an emotional, educational, or physical disability; and teachers are likely to find themselves looking for resources or information that would enable them teach all their students in the most effective way. There are numerous special-education websites from which teachers and instructors can obtain information or lessons on teaching their respective subjects. Five websites available to the math special education teacher have been discussed in the subsequent sections of this text.

Teacher Resources

Teachers Helping Teachers: http://www.pacificnet.net/~mandel/

This online resource provides teaching information for all teachers, with a 'Special Education' segment that provides a number of activities meant specifically for instilling basic conceptual skills in learners with special needs. The activities are submitted by…… [Read More]

Education the Affects of Block Scheduling on

Education

The Affects of Block Scheduling on Student Academic Achievement

The overall strategy of utilizing block scheduling is to organize the day into fewer, but longer, class periods to allow flexibility for instructional activities. Block scheduling is used primarily at middle school and high school levels. Currently, block scheduling is defined as a restructuring of the school day into classes longer than the traditional fifty-minute period classes (Adams & Salvaterra, 1997; Georgia Department of Education, 1998). Gordon Cawelti (1994) agrees with this concept and verifies the definition supplied by Adams and Salvaterra along with the Georgia Department of Education as one that works to meet the needs of all models. The expressed goal of block scheduling programs is to improve student academic performance. Some other benefits of this schedule are increased student and teacher morale, encouragement for the use of innovative teaching methods that address multiple learning styles, and an…… [Read More]

Differential Learning in Mathematics

conveyed in an effective manner to meet the needs of students. It is an important aspect of differentiating instruction. Students with diagnosed learning disabilities will receive an IEP designed to address their specific learning issues and deficits. Presentation, response, timing (scheduling) and setting can all be addressed in differentiation. Memory; auditory, visual, and even motor processing; attention deficits; abstract reasoning issues; and organizational problems can all cause issues for students that can be improved with differentiated instruction (Ginsberg & Dolan, 2003, p. 87).

In-class assessment can take place in both in traditional formative and performance-based ways. Formative assessment is used during the learning process so the teacher can check in to see what the student has retained. This can be observational or in the form of quizzes or other graded formats. But while performance-based assessment can take the form of conventional tests there are other methods besides exams, including flexible…… [Read More]

Middle School Mathematics Curriculum and

Students should be able to reflect on the process of problem solving.

Reasoning and Proof

Students should recognize that proofs are a fundamental aspect of mathematics. Within that understanding, they should develop the ability to select and use various types of mathematical reasoning.

Communication

The standard calls for students to communicate their mathematical thinking in a coherent and clear way to teachers, peers, and others. Students should be able to express their ideas with the correct use of mathematical language.

Connections

The standard requires that students be able to demonstrate the interconnectedness of mathematical ideas and recognize and apply mathematics in other contexts.

Representations

Students should be able to use representations to organize, record and communicate mathematical ideas. This will enable them to model and interpret physical, social, and mathematical phenomena.

The What Works Clearinghouse (WWC) is an initiative by the U.S. Department of Education's Institute of Education Sciences. On…… [Read More]

Spiritual Principle So Teach Us

Students will work together in groups of at least four to answer the questions on the exercise. Then, they will be required to present their findings to the class in a short, five-minute group presentation.

3. In order to familiarize students with the concepts and properties of triangles, quadrilaterals and other polygons, students will access the website, (http://www.explorelearning.com). Under the Mathematics Gizmos section of this website, students will select the following: Grade 9-12 > Go > Geometry. Students will be required to perform all of the interactive activities in the Triangles and Quadrilateral and Polygons sections. Students will be required to write a brief explanation of understanding for each exercise.

4. Students will pick up where they left off in the first semester by continuing to use the website (http://www.explorelearning.com) for the entire second semester. The will follow the similar path that they did during the third unit: Grade 9-12…… [Read More]

Inclusion of Technology in the

Environmental classes could chronicle their observations of the weather, for example, and post the results of their class observations online. Creating attractive, scientifically literate material online is an important skill that students should learn. New equipment is also needed in the laboratories to conduct more accurate measures of experiments. This is necessary to improve student performances at local science fairs.

Funding for field trips to science museums and other on-site locations to supplement education:

Interacting with science and technology in a hands-on fashion; visiting science laboratories that use technology; and meeting with individuals who use science and technology in their vocations are all ways to get students excited about technology and its applications.

Hiring a part-time or full time teacher of technology

This professional would be officially in charge of acting as a facilitator between the math and science departments; teach elective courses in technology; and conduct laboratories and educational…… [Read More]

School & Community the Use

, 2007).

The use of the Cognitive Tutor not only enriches students' experience at the academic task-level but also impacts the teachers' instructional practices and relationship with her students (Level 3) A district-wide survey of high school teachers using the program reveals that the Cognitive Tutor allows them more time to provide individual assistance to students; gives them the opportunity to adjust their instructional practices as a result of students progressing in problem solving; and makes Algebra more interesting and relevant to students (Schneyderman, 2001). These views imply that the use of the program makes teaching less burdensome in the sense that the teacher acts as facilitator of learning rather than instructor, which is one of the arguments for educational technology in general.

Due perhaps to the wide acceptance of the use of Cognitive Tutor and other instructional software in American classrooms, the "No Child Left Behind" Act called for…… [Read More]

Elementary Education Mathematics Is One

,

2005, 2)."

The article asserts that students benefit greatly from the use of calculators at the elementary school level. The research also explains that calculator use should be used in addition to traditional techniques from problem solving.

McAuliffe (2004) reiterates the aforementioned belief that the use of calculators at the elementary school level can be quite beneficial. The authors asserts that the majority of research has found that there are not any harmful effects that occur as a result of early calculator use. The author explains that the use of calculators simply serves as an enhancement to elementary school mathematics curriculum, when they are properly used. The author insists that this enhancement can be seen in the fact that students have more time to solve problems on a conceptual level. McAuliffe (2004) expounds upon this idea stating

"a simple four-function calculator will allow students to use whatever operation is…… [Read More]

Greek Letter Pi Equations and

Thus, in 1 Kings 7:23, the word "line" is written Kuf Vov Heh, but the Heh does not need to be there, and is not pronounced. With the extra letter, the word has a value of 111, but without it, the value is 106. (Kuf=100, Vov=6, Heh=5). The ratio of pi to 3 is very close to the ratio of 111 to 106. In other words, pi/3 = 111/106 approximately; solving for pi, is pi = 3.1415094... (Tsaban, 78). This figure is much more accurate than any other value that had been calculated up to that point, and would hold the record for the greatest number of correct digits for several hundred years afterwards. Unfortunately, very few people know this fact.

Archimedes of Greece was the first person to make serious use of the pi calculation. In 287 to 212 BC, he focused on the polygons' perimeters as opposed to…… [Read More]

Math Explains the World the

First, math courses are required as part of college work in the pursuit of most degrees in the health care field. The level of required achievement is different, depending on the degree sought. For example, a student pursuing an LPN may take a semester or two of college algebra. A pre-med student is often required to take one or two semesters of calculus. A student pursuing a master's degree in health care administration will take courses in statistics, finance and accounting. The master's candidate can perhaps more easily see the relevance of the required math courses toward the future career. For the nursing student studying algebra or the pre-med student struggling through calculus, the correlation between academic study and actual practice may be unclear. They may wonder why they must undertake these courses, which seem to have little to do with the work in which they will eventually be engaged.…… [Read More]

Hypatia of Alexandria Daughter of Theon

Hypatia of Alexandria, daughter of Theon. Specifically, it will examine the life of Hypatia, especially her mathematical accomplishments. Hypatia was the first female mathematician that left a record that historians can trace. She was a philosopher, mathematician, and teacher who lived in Alexandria, Egypt from about 350 to 415 A.D. She was the daughter of Theon, a renowned mathematician and head of the library in Alexandria.

Historians do not agree on the year Hypatia was born. Some estimate it at around 355, while others place it as late as 370. What is known of Hypatia is that she was extremely influential in mathematics and philosophical thought. Hypatia was born in Alexandria and most historians believe she spent her entire life there. Some historians believe Hypatia studied mathematics in Athens, and then traveled through Europe (Coffin, 1998, p. 94), while others believe her father taught her most of what she knew…… [Read More]

Arizona State University

Arizona State University (ASU) is a leading metropolitan research international institution in the United States that is committed to excellence in teaching, research, and public service. Established in Tempe in 1885 by a legislative act, ASU was initially formed as a teachers college. The core of the Tempe campus was a 20-acre cow pasture donated by leading citizens who desired an institution to educate public school teachers and offer instruction to their children in agriculture and mechanical arts.

In 2002, Michael M. Crow became the University's sixteenth president. In his inaugural address, he outlined his vision for the transformation of the school into a prototype for a new American university. This future institution will be a comprehensive research university that continues its academic excellence as well as have a strong commitment to social, economic, cultural, and environmental issues to meet the needs of the growing Phoenix area. The city has…… [Read More]

Prelude to Statistical Data Analysis

Take for example a human resource manager who is interested in how three different departments in a business situation waste time on the internet on a given day when they should be doing company business. The human resource person would collect data through a time study process and determine the number of times each employee in each department logs on and off the internet for personal business. The times would be collected, added together and the times of each department converted to percentages. In the example presented, the human resource manager can report that, cumulatively, the employees in Department 1 spent a total of 5 hours a day on the Internet, Department 2 employees 2 hours a day and Department 3 spent 6 hours. The raw numeric count is then converted to percentages and the pie chart would look like the following (Ohlson, 2005):

The solution to the data presented…… [Read More]

Professional Business Resume

Educator Coach Resume

6335 La Mirada Way -- Long Beach, CA 92042

ATHLETIC DIRECTOR -- COACH -- ADMINISTRATOR -- TEACHER

Professional, experiences, articulate and student-focused professional with proven expertise in motivating you to achieve appropriate goals. Prioritizing strategies for wining school athletic programs without losing sight of team-building, social, and sportsmanship training. Holds students, parents, staff in high-esteem while ensuring that students of all levels are accountable for their performance and attitude, on and off the field. Interacts with colleagues and administrators with a high degree of professionalism and personal integrity. Background includes pedagogical leadership and business. Extremely dedicated to student and staff development. Proficient with athletic scheduling software. Adept at training programs for all levels.

ATHLETIC EXPERIENCE

LONG BEACH HIGH SCHOOL, Long Beach, CA

2002 -- Present

Athletic Director, Boys Football and Basketball Coach

Reorganized football and basketball programs and exceeded California Athletic Association Standards

Created new policies and…… [Read More]

Inverse Equations Problem A Is an Example

Inverse Equations

Problem "a" is an example of substitution equations. In this case, it is asking the two equations to be subtracted and the number four substituted for "x." In order for this operation to be properly accomplished, order of operations requires that the two problems be simplified to their final state before being combined.

Proof a.

(f-h)(4)

Problems "b" are examples of inverse functions. Here, a secondary function is being placed in the original function's "x" position. Once this is accomplished, order of operations and rules of simplification allow for the simplifying of the final expression. These cannot be entirely solved as there is no value given for "x."

Proof b.

2(x^2 -- 3) +

2x^2 -- 6 +

2x^2 -- 1

(7 -- (x^2 -- 3)) /

(7 -- x^2 + 3) /

(10 -- x^2) /

Problems "c" are examples of finding the inverse of a single…… [Read More]

Three Mathematic Textbooks Review

Precalculus With Limits by Ron Larson

This book as well as the other two books are for college freshman level or college introductory level mathematics courses. The strengths of the book are mainly focused on its layout. For example, the book has a great way to demonstrate a varied and large amount of information easily and simply. This means that people reading the text just have to look for certain visual cues like colors or pictures that will point the information they seek. For example, the diagrams have a different background color than the text. All of this removes time spent looking for things. The use of bold also further differentiates the text, highlighting key words, phrases and things to memorize.

The weaknesses are in lack of context surrounding the topics and footnotes. Another book reviewed has footnotes and yet another provides adequate background for each topic. This book sacrifices…… [Read More]

Jeffery Case Study Background for

For this he can use the FOIL method. FOIL means FIRST OUTSIDE INSIDE LAST. This order can help erase the confusion that arises with understanding of order in which equations are to be solved. This technique falls in the category of Mnemonics which was one of the strategies recommended for Jeffery's case. Mnemonics are any sentences or pictures that help students make connections and understand concepts.

Students often are befuddled with the use of complex terms in mathematics and hence it's recommended that they become familiar with some commonly used terms before they are used in the context of mathematics or algebra. For example students can be told what a variable is without actually referring to any mathematical equation. Variable is simply any letter in which a value can be stored. 4x for example would be the number 4 with a variable x that also contains a value though hidden…… [Read More]

Standards Maps in the

At which point, the students would begin studying composition of functions to verify each other. There will be a brief period of one day, to review the information that was covered during the quarter. (Cox, 2006)

In the first week of August, is when a comprehensive review will take place, covering everything that was presented in the year and preparing students, for their achievement as well as quarterly examinations. At this time, is when the educator needs to be focused on spending more time with the students. In some cases, it may be prudent to set up more recitation / review sessions before or after school. The extra time that can be spent reviewing the material and covering what was presented; will help to ensure that students are prepared for their assessment as well as quarterly examination, at the same time. ("Time and Structure in Curriculum Development, " n.d.)

Clearly,…… [Read More]

Formative and Summative Assessments Criteria

Major and minor scales, and chromatic scale from low E. To high C.

2. A slow etude.

3. One movement from a sonata or concerto comparable in difficulty to the Sonata by Wanhal or the Concerto No.3 by Stamitz.

Students age 14 and older:

1. Major, minor and chromatic scales.

2. An etude comparable to those by C. Rose

3. One movement from a piece comparable in difficulty to the Concerto in a Major, K. 622, by Mozart; Concerto in F Minor, Op. 73, by Weber; sonatas by Bernstein, Saint-Sans, or Hindemith; or any of the 16 Grand Solos by Bonade.

A prospective student is judged relative to the individuals with whom he or she competes against on these exercises: during a very strong year for candidates, some highly talented students might be rejected. During a weaker year, as the school needs students to pay tuition, the most talented candidates…… [Read More]

Saving Adam Smith by Jonathan

Modern capitalist philosophy has been advanced in a way that has little to do with what Smith really thought and taught. Smith believed that the invisible hand operated in a societal context. The reason Smith had such a positive philosophy of freedom was that he believed that human beings, would behave best if not compelled to merely serve the personal interests of a sovereign. Humans had a right to self-determination and to serve their own interests. However, when competition was threatened -- for example, when individuals by fair means or foul gained too much market power and created monopolies -- then it was appropriate for the government to step in. Smith believed that self-interest could prove to be beneficial to others but he did not believe that selfishness was an end in and of itself.

Justice and democracy are necessary for capitalism to function, but the rampant selfishness and lack…… [Read More]

Globalization and the Structures of

Use the appropriate representations to model problems in the physical and social sciences (Ibid.)

Numeration Systems and Number Theory -- Number theory is a basis for all areas of mathematics. Number theory and sense are precludes to computation, to estimate, and to have an understanding of the ways numbers are represented and interrelated. Fluency of also understanding the way positive and negative numbers can be visually represented on a line, or how numerical values interrelate, are essential prior to moving toward higher level concepts (Kane, 2002).

Algebraic Thinking and Problem Solving -- Rather than viewing the subject of algebra as certain sets of problems, the appropriate way to introduce it into elementary levels is as the relationship among quantities, the use of symbols, the modeling of phenomena, and the study of change. Students should be able to understand patterns, relations, and functions and how numbers may be represented in different…… [Read More]

Delimitations and Definitions Theoretical Background

Therefore, the most different variable in the study is the change in treatment, i.e. The doubling of class time.

The following definitions are provided to ensure uniformity and understanding throughout this study. All definitions, not otherwise noted, have been developed by the researcher:

AYP -- Adequate Yearly Progress refers to the state-stipulated percentage of students by subject (math/English) by demographic (race/socio-economic strata) that must pass the HSPA. Schools that do not meet or surpass AYP are subject to sanctions. These may differ by state.

Class time -- The prescribed time during which a single class is conducted, i.e. one period. In this case, one period prior to the doubling of class time is initially equal to 42 minutes and subsequently equal to 43 minutes.

Doubling of class time -- Increasing class time from 42 minutes to 84 minutes plus the consumed passing time of 4 minutes for a total of…… [Read More]

Second Order Change in Adolescent

Esperanza took the paperwork home and met with her mother, who obtained the appropriate records for her and went through the class schedule with her, as Esperanza translated the information. Esperanza chose a class schedule that was inclusive of her mother's desire for her to take a part time job, and included all the basic education classes that she would need to move forward as a Junior the following year. Esperanza also signed up for a Spanish class and an ESL program, at the urging of the Latino Club advisor. The Latino Club activities included a small grant to pay ESL students to tutor students of Spanish that were in need of extra help. Though the tutoring paid only minimum wage, it allowed Esperanza to fulfill her mother's desire for her to take a part time job and it would not interfere with school work and did not require her…… [Read More]

Evolution Over Time of Network

In actual fact, because of STCP's option of multiplicative amplify, STCP have to in stable state persuade congestion actions approximately all 13.4 round trip times, in spite of the connection speed. HSTCP encourages packet losses at a slower speed than STCP, but still much quicker than RCP-Reno.

3. Problems of the Existing Delay-based TCP Versions

In contrast, TCP Vegas, Enhanced TCP Vegas and FAST TCP are delay-based protocols. By relying upon changes in queuing delay measurements to detect changes in available bandwidth, these delay-based protocols achieve higher average throughout with good intra-protocol RTT fairness (Cajon, 2004). However, they have more than a few deficiencies. For instance, both Vegas and FAST suffer from the overturn path congestion difficulty, in which simultaneous onward and overturn path traffic on a simple bidirectional blockage connection cannot attain full link operation. In addition, both Vegas and Enhanced Vegas employ a conservative window increase strategy of…… [Read More]

Stock Stats Statistics in the World of

Stock Stats

Statistics in the World of Stocks

Many students at various levels in mathematics at times find themselves asking the question, why do I need to learn this? It is admittedly true that many people will never really use algebra in their daily lives, and the complex world of statistics and probability also goes unutilized by many. Algebra, probability, and statistics can all be useful to everyone, in actuality, and more importantly there are specific instances where these areas of mathematics prove absolutely invaluable. When it comes to the stock market, many people try to use statistical models to predict when certain stocks are good values, or when they are poised to skyrocket investors to new fortunes, but there are also more sensible applications of certain probability and statistics concepts that are reasonable means of influencing stock-buying decisions. Applying a few basic methods of analysis to some elements of…… [Read More]

Claude Shannon Is an American Mathematical Engineer

Claude Shannon is an American mathematical engineer and is considered "the father of information theory" (Cosmo Learning 2010). Shannon was born in the city of Gaylord, Michigan on April 30, 196 (NY 2011). Gaylord was a small town of approximately 3,000 individuals and his father was the town judge; his mother was the principal at the local town high school (NYU 2011). His mathematical and scientific ability did not necessarily come from either of his parents though his grandfather was an inventor and a farmer (2011). He invented the washing machine as well as types of farming machinery (2011).

Shannon married in 1949 and had three children with his wife. He and his family lived just a short distance- a few miles -- from MIT. He had a lifetime obsession with balance and control and it can be seen in the house that he shared with his family. Of particular…… [Read More]