Math at eNotes
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The latest questions and answers, from members following Math at eNotes.Mon, 2 May 2016 05:20:44 PSTen-usHello! We have to prove that `sum_(k=1)^n a_k=sum_(k=1)^n (3k-2) =...
http://www.enotes.com/homework-help/prove-using-mathematical-induction-that-all-n-1-1-695511
Hello! We have to prove that `sum_(k=1)^n a_k=sum_(k=1)^n (3k-2) = (n(3n-1))/2` for all n>=1. First, establish the base of induction for n=1: `sum_(k=1)^n (3k-2)=3*1-2=1` and `(1*(3*1-1))/2=1.` These numbers are equal, so the base is established. Now, assume that for some n the statement is true and consider the statement for n+1: `sum_(k=1)^(n+1) (3k-2) = ((n+1)(3(n+1)-1))/2.` Whether it is true? The sum at the left is eqial to...http://www.enotes.com/homework-help/prove-using-mathematical-induction-that-all-n-1-1-695511Mon, 2 May 2016 05:20:44 PSTProve using mathematical induction that for all n≥1, 1+4+7+...+(3n-2)=...
http://www.enotes.com/homework-help/prove-using-mathematical-induction-that-all-n-1-1-695511
Prove using mathematical induction that for all n≥1, 1+4+7+...+(3n-2)= (n (3n-1)) / 2http://www.enotes.com/homework-help/prove-using-mathematical-induction-that-all-n-1-1-695511#1May 2, 2016, 4:06 am PSTIs the "gamification" of education a passing fad or the tip of the...
http://www.enotes.com/homework-help/forbes-article-video-game-blurs-line-education-693431
Is the "gamification" of education a passing fad or the tip of the iceberg? I'm going to say both, but I need to explain why. Ultimately, it will be a passing fad, but the fad may last for many decades. I've been teaching long enough to have seen and been through styles of teaching that have been around for many, many years, and I have seen long standing, traditional styles of education begin to fade out. I believe that given enough time,...http://www.enotes.com/homework-help/forbes-article-video-game-blurs-line-education-693431Fri, 29 Apr 2016 13:30:12 PSTIn the Forbes article The Video Game Blurs the Line Between Education...
http://www.enotes.com/homework-help/forbes-article-video-game-blurs-line-education-693431
In the Forbes article The Video Game Blurs the Line Between Education and Entertainment, a game is described which can enable middle schoolers to strengthen their pre-algebra skills while playing. Is this a passing fad or perhaps only the tip of the iceberg in this style of teaching and learning? http://www.desertsun.com/story/news/education/2014/08/20/cvusd-says-goodbye-algebra-hello-imath/14366635/http://www.enotes.com/homework-help/forbes-article-video-game-blurs-line-education-693431#2April 29, 2016, 2:46 am PSTThose who know, while in high school, how the rest of their lives will...
http://www.enotes.com/homework-help/an-article-published-last-fall-titled-algebra-693246
Those who know, while in high school, how the rest of their lives will develop are, possibly, fortunate. There may be some comfort in knowing exactly what one will be doing ten or twenty years down the road. For most of us, however, we are not so gifted with certainty with regard to our futures. We enroll in colleges and universities with the expectation and the hope of being inspired by some academic discipline and, that secured, are able to...http://www.enotes.com/homework-help/an-article-published-last-fall-titled-algebra-693246Fri, 29 Apr 2016 00:14:15 PSTWhile states used to generally require Algebra I and geometry, many...
http://www.enotes.com/homework-help/how-much-too-much-math-require-high-school-693225
While states used to generally require Algebra I and geometry, many states are moving towards requiring geometry and Algebra II, including some trigonometry, for students to graduate from high school (see the first link below for state requirements). The state with the highest math scores, according to the National Center for Education Statistics (see the NCES link below) is Massachusetts, which leaves these decisions up to local school...http://www.enotes.com/homework-help/how-much-too-much-math-require-high-school-693225Fri, 29 Apr 2016 00:00:15 PSTUnless you socialize primarily with mathematicians, physicists, or any...
http://www.enotes.com/homework-help/more-socially-acceptable-bad-math-than-say-bad-693217
Unless you socialize primarily with mathematicians, physicists, or any other profession for which the routine application of mathematical principles is an integral component, it is difficult to imagine one being socially ostracized for being deficient in math. After all, many learned professionals struggle with math, yet do not find themselves socially-isolated or looked-down-upon by their peers at cocktail parties or at formal events. One of...http://www.enotes.com/homework-help/more-socially-acceptable-bad-math-than-say-bad-693217Thu, 28 Apr 2016 23:48:14 PSTThe way algebra is taught should be geared to the students in the class....
http://www.enotes.com/homework-help/you-think-algebra-concepts-should-taught-such-way-693242
The way algebra is taught should be geared to the students in the class. This is the basic tenet of differentiated instruction, which the Association for Supervision and Curriculum Development describes in practice as "offering several different learning experiences in response to students' varied needs" (see the link below for more information). Some students need to reinforce the basic skills involved in algebra. If, for example, they are...http://www.enotes.com/homework-help/you-think-algebra-concepts-should-taught-such-way-693242Thu, 28 Apr 2016 23:47:53 PSTAn article published last Fall titled "Is Algebra Necessary?" sparked a...
http://www.enotes.com/homework-help/an-article-published-last-fall-titled-algebra-693246
An article published last Fall titled "Is Algebra Necessary?" sparked a lively debate on the blogs. One of my favorite "yes" responses, "Make Us Do the Math," is an excellent summary of the major opinions expressed to that point in the debate, but there have been several significant "no" responses as well. What is your take on the matter? Why or why not, and do you think this is an important question to ask?http://www.enotes.com/homework-help/an-article-published-last-fall-titled-algebra-693246#3April 28, 2016, 11:24 pm PSTDo you think algebra concepts should be taught in such a way that they...
http://www.enotes.com/homework-help/you-think-algebra-concepts-should-taught-such-way-693242
Do you think algebra concepts should be taught in such a way that they challenge and reinforce the student's arithmetic skills, or should only "nice" numbers be used so the student is free to focus on the algebra concepts themselves, unhindered by tedious work with fractions and decimals?http://www.enotes.com/homework-help/you-think-algebra-concepts-should-taught-such-way-693242#4April 28, 2016, 11:20 pm PSTHow much is too much math to require for high school graduation? What do...
http://www.enotes.com/homework-help/how-much-too-much-math-require-high-school-693225
How much is too much math to require for high school graduation? What do you think and why?http://www.enotes.com/homework-help/how-much-too-much-math-require-high-school-693225#5April 28, 2016, 11:09 pm PSTIs it more socially acceptable to be bad at math than it is say to be...
http://www.enotes.com/homework-help/more-socially-acceptable-bad-math-than-say-bad-693217
Is it more socially acceptable to be bad at math than it is say to be bad at English or reading?http://www.enotes.com/homework-help/more-socially-acceptable-bad-math-than-say-bad-693217#6April 28, 2016, 11:03 pm PSTThere seems to be a discrepancy in your question: if `x >=1` , then...
http://www.enotes.com/homework-help/find-surface-area-revolution-y-1-x-from-xgt-1-692022
There seems to be a discrepancy in your question: if `x >=1` , then the limits of the integral should be 1 and infinity. This means it would be an improper integral and it would not converge (as you will see after we take the integral). I am going to take the indefinite integral - without the limits - and the appropriate limits can be plugged in later. Before taking the integral, let's simplify the radical expression under the radical:...http://www.enotes.com/homework-help/find-surface-area-revolution-y-1-x-from-xgt-1-692022Thu, 28 Apr 2016 02:00:48 PSTGiven the data set 1,2,4,7,8,9,10,20: (1) The mean (arithmetic mean) is...
http://www.enotes.com/homework-help/how-do-find-mean-median-mode-midrange-following-466970
Given the data set 1,2,4,7,8,9,10,20: (1) The mean (arithmetic mean) is the sum of the data divided by the number, n, of pieces of data. Usually you report the mean to one more digit than the given data so (2) The median is the number in the middle of the ordered data set. I.e. there are as many data points below the median as above the median. Here the median is between 7 and 8; in the case that there is an even number of data points you...http://www.enotes.com/homework-help/how-do-find-mean-median-mode-midrange-following-466970Wed, 27 Apr 2016 22:06:34 PSTWith out math we would be weaird
http://www.enotes.com/homework-help/why-math-such-an-important-part-our-lives-389103
With out math we would be weairdhttp://www.enotes.com/homework-help/why-math-such-an-important-part-our-lives-389103Wed, 27 Apr 2016 22:01:36 PST