Concept Development Tools

 

This component of The Math Page features a collection of tools to facilitate the development and understanding of mathematical concepts through interactive simulations and fun activities. Some of these tools were designed for young audiences, and can be used in developmental classes with students who lack meaningful understanding of basic concepts and problem solving.

 

 

For young audiences

 

This FLASH simulator allows students to learn operations with signed numbers by observing Antonio walk the number line in response to operations entered on the screen by the teacher. Students make guesses about the result of arithmetic operations with signed numbers by studying THE WALK that Figaro demonstrates for them. When a student thinks he/she has discovered the rule for walking a given expression, the teacher invites the student to do THE WALK on a number line drawn on the classroom floor. One successful attempt for each possible case of numbers and arithmetic operation provides students with a WALKER’S LICENSE.

 

The module helps develop critical thinking, pattern recognition and a kinesthetic understanding of pre-algebra concepts. This tool has been used with 3rd-8th grade classes, developmental courses and in teacher education courses.

 

Similar in nature to the Number Line, this FLASH simulator helps young students and elementary teachers develop and demonstrate understanding of arithmetic operations with whole numbers. A discrete and a continuous model are used to facilitate the acquisition of concepts. Teacher can select manipulatives of various kinds, while Matilda dances on the number line.

 

 Mix art with mathematics by controlling the path of the Lady Bug on the golden rectangle. Select the type of trace for the bug’s path and create art and fun. Use in sequence with other tools optimizes the learning of slope, parallelism, and symmetry, among others.

 

See The Backyard Subdivision for a description of this tool.

 

 

For more mature audiences

 

          A sequence of tools designed to develop graphing skills and to facilitate           interpretation of spatial information. Compete for stars and cards.

 

     Relate visually circular motion with circular functions.

 

 

Learn triangularization skills using this interactive tool.

 

   This interactive tool facilitates learning the relationship between the     length of the pendulum’s string, the number of swings per unit of time, and   the amplitude angle.

 

              Learn about vectors by playing a game of pool.

 

Great way to develop knowledge of graphing, spatial abilities and problem-solving skills.

 

 

 

Copyright: Nadina Duran-Hutchings, Ph.D.