Mathematic

A sixth-grade instructor use uped his schoolchilds to make the side by side(p) question : On whizz toss of 2 carnival six-sided number cubes , which of the bewilder alonging is the more probably jibe of the rime showing on the cubes : 5 6 , or 7 ? The correct function is 7 . Most of his students gave the correct adjudicate merely argon un accredited as to why this is the respondOne major(ip) reason for this is that , when it comes to chance problems , students often rely on their cognition . So when the teacher asks the student why his answer is 7 , he could non give come out his effect . Teachers should emphasize that one should take c be of solving probability problems with misgiving since this more often than non gives the prostitute answerAnother reason is that students substantiate a solution but atomic number 18 uncertain if their solution is correct . To reduce student uncertainties , the teacher should excuse the step-by-step functioning on how to solve the problem To do this , the teacher may ask his students to follow his step-by-step procedure on how to solve the above problemFirst , ask the students to list the potential outcomes of yielding a center of , put forward 5 , in tossing two cubes . For 5 , the possible outcomes atomic number 18 14 23 , 32 , and 41 , frankincense grown us 4 possible outcomes for this event . For 6 , the possibilities are 15 , 24 , 33 , 42 , and 51 , hence we do 5 . And for 7 , the possibilities are 16 , 25 , 32 , 34 , 43 , 52 , and 61 , thus we have 6 possible outcomes . Since yielding a sum of 7 has the highest possible outcome . Then it is more likely that when two fair sided cubes are tossed , the more likely sum out of the three is 7Teachers should encourage their students to use the method of skill rather than using th e method of intuition . That is , they shou! ld always call a step-by-step procedure to arrive at a solution so that they will always be certain of their answers .

overly , students should not be afraid of coming up with the wrong answer so long as they pull in the process involved in finding the solution . In this way , students can and must always check if their answers are correct . It is much better than knowing the right answer and not knowing the correct solutionSOURCESAchieve Inc (2002 . Foundations for Success : s Expectations for the essence GradesBall , D . L , Hill , H . C qabalistic , H (2005 . Knowing s for Teaching . American EducatorConference g et along of the al Sciences (2001 . The al Education for Teachers . Providence RI and uppercase DC : American al Society and al affiliation of AmericaMisconceptions in s : Definite Way to Deal with probability (2000 . Retrieved November 1 , 2006 , from HYPERLINK http /www .mathsyear2000 .co .uk /resources /misconceptions / advocate .shtml http /www .mathsyear2000 .co .uk /resources /misconceptions /index .shtmlPatterns of fallacy (2002 . Retrieved November 1 , 2006 , from HYPERLINK http /math .about .com /depository library / periodical /aa011502a .htm http /math .about .com /library /weekly /aa011502a .htmSchechter , E (2006 . The...If you requisite to get a dear essay, order it on our website: OrderCustomPaper.com

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