Posted by David Wetzel
Math Problem Solving
Problem solving in math is a mental process and is part of the larger process that includes identifying what problem must be solved.
The main reason for learning math is to become better problem solvers in all aspects of life.
Many problems are multistep processes and require some type of systematic approach.
Problem Solving is Personal
The ability to solve problems is the foundation of mathematics. For a student in any grade in school, the road to understanding math is through the problem solving gateway. This is not to be confused with completing worksheets; these are real world personal problems which require logical thinking and reasoning skills to solve.
For example:
- How many songs can be downloaded from iTunes with $7.75?
- How much to charge a neighbor for cutting their grass?
- How many cars do I need to wash to buy a new video game, when charging $5.00 each car wash?
To develop the ability to solve problems, children need to make a personal connection as they visualize, touch, and see the problem. In grades K – 7, children cannot think in the abstract like adults. Most children, but not all, begin to develop abstract thinking in the 8th grade.
Math Problems
When developing math problems, the topics must be appropriate for the grade level and cultural environment of the child.
For example:
- Rural farming communities should use examples which are farm related.
- Suburban schools should use examples related to the community and the child’s life.
- Urban settings need to use examples related to the child’s environment.
Regardless of the setting, math problems are everywhere; making it personal and meaningful is critical for stimulating problem solving.
Additional problem solving exercises include:
- How many marbles will fit inside a jar? They determine the volume in the jar. Next determine a reasonable estimate of the number of marbles by using similar materials.
- Cooking – using fractions for baking.
Resources
12 Tips for Solving Word Problems: Teaching Children How to Solve Math Problems
Math Problems: Order of Operations
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Filed Under: Math
Posted by David Wetzel
Interactive Math
Vector Kids provides opportunities for elementary and middle school math students to strengthen their basic math skills using interactive math games and tools.
Interactive Math Activities and Games
The following are examples of interactive math content areas included in Vector Kids:
Divisibility Rules: students learn divisibility rules through an interactive game.
Time Flash Cards: students try to solve as many math flash card problems as they can within one minute.
Flash Cards + & -: students solve math problems using addition and subtraction.
Flash Cards x & /: students solve math problems using multiplication and division.
Fractions: students solve fraction problems using pie charts.
Variable Solving: students practice basic algebra skills.
Posted by David Wetzel
Google SketchUp is a free program which is downloaded to your computer. This program is a great way to integrate an interactive technological tool into your math class.
The program provides direct connections with geometry and measurement concepts. Students can construct any type of geometrical shape using this program for making connections in mathematics.
You can download a Free Google SketchUp Math Teacher’s Guide for Elementary, Middle School, and High School for creative ideas in getting your students involved with this technology tool.
Student Bridge Modeling Competition for 2009
Google SketchUp International 2009 Student Bridge Modeling Competition.
Simply model the bridges of your choice in Google SketchUp, geo-referenced in Google Earth and submit them by uploading to the Google 3D Warehouse to earn lasting online glory. Winners receive a prize.
Registration is currently in progress and submissions are due no later than June 15, 2009.
Additional Sketchup Resources
3D Warehouse provides preformatted resources for Sketchup.
Sketchy Physics is a plug in for Sketchup
Sphere Plug in for making circles
SketchUp Videos
These two videos provide examples of how SketchUp supports math.
How to Build a Basic Google Sketchup Car
Basic Sketchy Physics Video
Additional Resources
Google Earth
Math Teaching Strategies for Challenging Students
Using Google Earth in Science and Math
Interactive Virtual Math
