Teaching Elementary Concepts
Date: 04/04/97 at 21:53:22 From: lisa Subject: 3 different approaches 1. I need to develop a meaningful understanding and skill in order to teach rational counting...how do I effectively teach rational counting to a 1st grader? 2. Develop an understanding of "prime" and "composite" numbers. How can I teach this concept to fourth graders? 3. Illustrate that the square root of 2 is an irrational number. How can I illustrate this to eighth graders? I need this information as soon as possible Thank you so much!
Date: 04/05/97 at 18:02:46 From: Doctor Judy Subject: Re: 3 different approaches You have asked three very good questions. I'll try to point you to information that will help you answer them. 1. To learn rational counting, 1st grade students should be given opportunities to group, sort and count using favorite objects. Literature should also be connected to math by reading counting books with the students. For titles, check: http://www.luc.edu/schools/education/csimath/zbib.htm 2. For Prime and Composite number understanding I suggest the Sieve of Eratosthenes. You can find directions and information at: http://mathforum.org/dr.math/faq/faq.prime.num.html When students actually generate the prime numbers using this method it helps to reinforce the concept that composites have more than two factors. 3. For the square root of 2 you might try to have the students "find," by guessing, the exact number that when multiplied by itself is equal to 2. Students would try to solve x^2 = 2. Directions for finding square roots without a calculator are at: http://mathforum.org/dr.math/faq/faq.sqrt.by.hand.html For an explanation of rational vs. irrational numbers, search the Dr. Math Archives. I hope that these ideas will be helpful to you -Doctor Judy, The Math Forum Check out our web site! http://mathforum.org/dr.math/
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