Web-based Practice
Number Puzzles by NLVM
Subject
Math, Science & Technology
Virtual Manipulative
Click here for this interactive resource.
Description
There are four puzzles in this set, each a variation of the same basic idea, placing a set of whole numbers into a pattern so that the sum along each line has the same value. Three of the puzzles require the numbers from 1 to 9 to be placed along the sides of an equilateral triangle, with a different side-sum in each case, and one where the same digits fit into a three-by-three square. That means that unless a student just plays around, placing digits randomly, each puzzle requires a different logical strategy. There is merit, of course, in allowing students to simply play with such number puzzles, and whenever numbers fill a row, it is necessary for the user to mentally find the sum, so that addition-skills are reinforced. Another of the values of any such exercise, however, is analyzing the thought processes of an individual solving the puzzle. There are reasons for starting with certain numbers in key places. A student trying to make a triangle edge-sum of 23 might recognize that to get a large sum on each side, we might appropriately try the largest numbers, 7, 8, and 9, in the corners where they could be used twice. Verbalizing and sharing analyses are valuable for all students.
Content Provider
The National Library of Virtual Manipulatives is a three-year NSF supported project to develop a library of uniquely interactive, web-based virtual manipulatives or concept tutorials, mostly in the form of Java applets, for mathematics instruction (K-8 emphasis). The project includes dissemination and extensive internal and external evaluation. For more information, please visit http://nlvm.usu.edu/en/nav/vlibrary.html.
Credits
Principal Investigators
Larry Cannon
Jim Dorward
Bob Heal
Leo Edwards
Java Applet Programming
Ethy Cannon
Joel Duffin
David Stowell
Zeke Susman
Richard Wellman
Jennifer Youngberg
Web Site Programming
Joel Duffin
