Thursday, December 2, 2010

Word problem: Problems with Problem

 Mathematics 10:


 Problem Statement: 
 Sandra lives in Salmon Arm, BC. She wants blue orchard mason bees to live in her backyard. She purchases a bee nesting box and intends to place it in one of her flower beds. The front of the box measures 15cm by 15cm on the inside. The outer diameter of each nesting tube is 8mm.

a. estimate the number of tubes that can fit inside the box.
b.  Draw and label a diagram showing the dimensions of the nesting box.
c.  Calculate the maximum number of tubes that can fit inside the box. then, describe one way to check your work.

Analysis: 
Firstly, this problem sounds very impractical, as generally grade 10 students don't engage in purchasing of the nesting boxes, and if Sandra was engaged in buying the stuff, then she could have asked the store owner the capacity of  this nesting box and did not need to engage in calculations. The imagery is not memorable, but kind of weird, and not helpful in interpreting the problem. I don't think a grade 10 student can interpret it. I mean students can't do it without help. Actually, the picture  provided for the problem in the book is distracting us from the real idea of the question, which only shows 2 tubes, creating problems in understanding of the problem. This can be a good question if asked by the teacher from a problem solving approach but with changed imagery, as it explores the idea of surface areas.