StudentShare solutions
Triangle menu

Math/Education - Essay Example

Not dowloaded yet

Extract of sample
Math/Education

The relationship between multiplication and addition can also be seen in various mathematical properties.
The commutative property is one that applies to both multiplication and addition problems. The implications of this property are that in a multiplication equation, one can multiply the numbers in any order to get the same product, and in an addition equation, one can add the numbers in any order to get the same sum. An example of the commutative property being used in addition is the equation, "10 + 2 = 12." If the numbers 10 and 2 were to be switched (2 + 10), the sum would still be 12. The equation, "2 x 5," can be utilized to demonstrate the commutative property in multiplication. Two times 5 equals 10, and when the numbers switch places, 5 times 2 still yields a product of 10. The commutative property is connected to the thinking strategy of thinking about multiplication in terms of adding groups of numbers. When students see 5 x 2 they may first think that means 5 groups of 2, which is 2 + 2 + 2 + 2 + 2. The commutative property lets them know that it can also mean 2 groups of 5, which is a much simpler 5 + 5.
The associative property is similar to the commutative property, but applies to equations that have more than two numbers and have at least two of the numbers grouped. Like the principle of the commutative property, the associative property dictates that the numbers can be multiplied or added in any order, regardless of the groupings. An example of the associative property in addition is the equation, "3 + (2 + 8)." The grouping of 2 + 8 implies that these two numbers must be added first, but the associative property allows the numbers to be added in any order without the sum being changed. Whether you add 2 + 8 + 3 or 3 + 8 + 2 or 8 + 3 + 2, the sum is always 13. The equation, "(4 x 2) x 3," can be utilized to exemplify the associative property as it applies to multiplication. The grouping of 4 x 2 implies that these two numbers must be multiplied first, but the associative property allows the numbers to be added in any order without the product being altered. Whether you multiply 4 x 2 x 3 or 2 x 4 x 3 or 3 x 2 x 4, the product is always 24. Similar to the commutative property, the associative property helps students use the thinking strategy of adding together groups of numbers, because it allows them to solve the problem in the order that is easiest. When students multiply (2 x 6) x 5, which is 12 + 12 + 12 + 12 + 12, it may be easier for them to multiply (5 x 2) x 6, which is 10 + 10 + 10 + 10 + 10 + 10. It is easier to count by 10's than 12's.
The distributive property involves breaking down multiplication problems, and it uses addition as a crucial tool. While many students are able to memorize the products of multiplying numbers 1 through 10, numbers greater than 10 that aren't multiples of 10 may begin to pose difficulties. The distributive property makes this sort of multiplication easier, and can be exemplified by the equation, "4 x 56." The distributive property holds that (4 x 50) + (4 x 6) = 4 x 56. To make 56 an easier number to multiply by, 56 can be separated into two numbers that add up to 56, and then each can be multiplied by 4 and added together. Four times 50 is an easy product for students to multiply because it is 50 + 50 + 50 + 50, or 200. Four times 6 ...Show more

Summary

There is a clear relationship between the mathematical processes of multiplication and addition. Multiplication, in terms of addition, is the repeated addition of the same number to itself a certain number of times. For every multiplication problem, there is a way to write the equation with the sole use of addition…
Author : robelstone
Math/Education essay example
Read Text Preview
Save Your Time for More Important Things
Let us write or edit the essay on your topic
"Math/Education"
with a personal 20% discount.
Grab the best paper

Related Essays

Math
In spite of this experience the teachers still hold high expectations on the children perform well in writing the music in sheet form (Lockhart 2). Lockhart goes on to cite the example of painting class for the 7tht grade students. They do not get to know how to paint practically but the teacher expects them to perform well in the theory part.
4 pages (1000 words) Essay
Teaching Math
This perception remains dominant these days with increasing numbers of educational institutions including additional math assessments students have to pass to graduate. Recently collected statistical data demonstrates that up to 20 percent of American students have some type of learning impairment though the actual figure is likely to be much higher if consider an unknown population of students with learning disorders whom have never been officially undiagnosed (LDA-CA, 2003).
11 pages (2750 words) Essay
Math
The question to be asked is that how do math’s teachers ensure that all these values are passed in their learners? The purpose of education that teachers should know is to
6 pages (1500 words) Essay
Math Education
An understanding of one-to-one correspondence can be achieved by allowing students to count while pointing to objects. For
2 pages (500 words) Essay
Math - Fractions
Visual Learning. Everyone has a left brain and a right brain and we all use both sides. But most of us use one side more than the other, this is called hemispheric dominance. The left side of the brain processes linear information: science & analysis, language, reading,
2 pages (500 words) Essay
Math Disablities in 4th & 5th Graders
Math disability has not received the attention that reading disability has received in the past. Yet one of the areas of research is the connection or association between math
4 pages (1000 words) Essay
Business Math: Government + Loans + Inflated Home Prices = Government + Loans + Inflated Higher Education Prices
Coy (2012) also points out that in most cases borrowing a loan to obtain a college education pays off in the long run as salaries for college/university graduates are much higher than that for high school graduates.
2 pages (500 words) Essay
Disc
a completely different story.Female and male potential for scientific achievement is most likely even on average, but other factors result in the inhibition of scientific/mathematical skills development for females throughout the educational process. As discussed in Martins
1 pages (250 words) Essay
Program Improvement Status and Standardized Math Scores
The designation of program improvement status has been implemented in order to provide a mechanism to equalize the quality of education is received by children throughout America. Schools that are failing, as determined by a complex scorecard put into place by the Department of Education, are asked to go through a mandatory program.
97 pages (24250 words) Essay
Math
Auto-Education refers to the child’s ability to construct ideas and concepts on his own by refining his senses through observation. For example, skip-counting and base ten operations are learned through
2 pages (500 words) Essay
Get a custom paper written
by a pro under your requirements!
Win a special DISCOUNT!
Put in your e-mail and click the button with your lucky finger
Your email
YOUR PRIZE:
Apply my DISCOUNT
Comments (0)
Rate this paper:
Thank you! Your comment has been sent and will be posted after moderation