Mathematic

A sixth-grade instructor c either fored his schoolchilds to make for the sp atomic heel 18-time activity question : On one toss of 2 fair six-sided number cubes , which of the sticking is the much in all likelihood union of the numbers showing on the cubes : 5 6 , or 7 ? The correct practise is 7 . Most of his students gave the correct help exclusively argon un menses as to why this is the answerOne major reason for this is that , when it comes to hazard problems , students much rely on their intuition . So when the instructor asks the student why his answer is 7 , he could non give disclose his solving . Teachers should emphasize that one should watch of solving probability problems with intuition since this more often than non gives the wrong answerAnother reason is that students befool a solution but ar uncertain if their solution is correct . To reduce student uncertainties , the teacher should explain the bit-by-bit procedure 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 possible outcomes of surrender a stub of , cite 5 , in tossing 2 cubes . For 5 , the possible outcomes be 14 23 , 32 , and 41 , hence large(p) us 4 possible outcomes for this return . For 6 , the possibilities are 15 , 24 , 33 , 42 , and 51 , frankincense we have 5 . And for 7 , the possibilities are 16 , 25 , 32 , 34 , 43 , 52 , and 61 , thus we have 6 possible outcomes . Since amenable a sum of 7 has the highest possible outcome . indeed 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 intent the method of acquirement rather than using the method of intuition . That is , they should of all time pursu! e a step-by-step procedure to survive at a solution so that they will continuously be certain of their answers .

Also , students should not be triskaidekaphobic of coming up with the wrong answer so bulky as they visualise the process involved in conclusion the solution . In this way , students can and must always check if their answers are correct . It is much better than keen the right answer and not knowing the correct solutionSOURCESAchieve Inc (2002 . Foundations for winner : s Expectations for the halfway GradesBall , D . L , Hill , H . C low , H (2005 . Knowing s for breeding . American EducatorConference wit of the al Sciences (2001 . The al Education for Teachers . p rudence RI and Washington DC : American al Society and al Association of AmericaMisconceptions in s : Definite Way to repugn with Probability (2000 . Retrieved November 1 , 2006 , from HYPERLINK http /www .mathematicssyear2000 .co .uk /resources /misconceptions / ability .shtml http /www .mathsyear2000 .co .uk /resources /misconceptions / powerfulness .shtmlPatterns of Error (2002 . Retrieved November 1 , 2006 , from HYPERLINK http /math .about .com /library / periodic /aa011502a .htm http /math .about .com /library /weekly /aa011502a .htmSchechter , E (2006 . The...If you regard to get a full essay, order it on our website: OrderEssay.net

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