In
grades K through 8, Puzzle Logic can be used to encourage children to practice
fundamental math skills such as counting, comparing and finding the difference.
Basic mathematical abilities will develop as the result of discussing the
observations made while attempting to find the solution to the puzzles.
Some puzzles, for example, The Block Construction Kit and Block Mania, involve
geometry and spatial relations. Students in the primary grades will benefit
from both the computer-based experiences and small group work at tables
using manipulatives. Educators should stress developing a working definition
of problem solving as a process which can be learned, and that different
approaches work better with certain types of problems. Since the investigations
used in the Puzzle Logic program involve journal keeping, students are encouraged
to study and compare approaches to each problem. This heuristic process
effectively improves students' problem solving ability.
|
| Building
Problem Solving and Logic Skills |
In mathematics
the study of patterns is fundamental. In fact mathematics can be defined
as the study of patterns. The role of the math teacher is to help students
understand important relationships in mathematics; this is accomplished
by guiding students through lessons which help them become aware of patterns.
The study of number patterns is one way to encourage students to learn about
special number properties. As extensions to lessons involving the study
of patterns teachers should encourage students to define and create their
own pattern sequences. Patterns can be visual or numerical.
|
Initially
the study of patterns can begin with an investigation of counting by multiples.
Through this investigation students will realize that multiplication is
related to both counting and addition. Following multiplicative patterning,
students may study number sequences based on geometric progressions. The
Fibonnaci sequence can serve as the basis of a fascinating lesson that should
include finding examples of this famous number sequence in nature, for example,
leaves and crystals.
|
| Problem
solving is a skill which can be developed and improved. Students should
be taught strategies for solving problems as a part of the mathematics curriculum.
For example, one strategy is to analyze a problem by breaking it down into
smaller parts. Through the use of Puzzle Logic, students will be encouraged
to investigate the advantages and disadvantages of approaching a problem
through a variety of techniques including organized counting, visual symmetry,
diagramming and simplification. |