... knowledge and apply it to real life situations, like determining the distance of a boat from shore. But, the contributions made by him to show that he has a basic understanding of geometric principles. Not much is known about what advances in geometry were made between the times of Thales and the Pythagoreans. The Pythagoreans advanced the understanding of not only triangles, but ... a number of geometric shapes. They were the first to relate relative areas and use the concepts to formulate a primitive algebra. Plato did not make any famous contributions to geometry. However, he made im...

• Word Count: 750
• Approx Pages: 3
• Grade Level: High School

... of more abstract concepts quite apart from building practicing skills and problem solving. It is usually combined with the guided discovery approach. Example A teacher gives out cardboard cut out of geometric concepts and let students make pattern with shapes. Activity and experimentation leads to thinking and communication that then leads to acquisation of skills and reinforcement. This approach is supported by ... questions defining the problem relate closely to some phenomenon in the real world and which may be solved by application of certain mathematical concepts and results. Examp...

• Word Count: 5657
• Approx Pages: 23
• Grade Level: High School

... was freed from all defects. Although Saccheri's work did have on flaw. Many historians praised Saccheri's book of 39 theorems. The first 70 pages is an ensemble of logic and geometric keenness, which can be called perfect. But all of a sudden Saccheri abruptly turns away from his carefully plotted course. In his 33rd theorem is where his flaw can be found ... ...

• Word Count: 366
• Approx Pages: 1
• Grade Level: High School

... indicate the relationship between two or more quantities. For example, the term function can be used to designate a power xn of a variable x. In addition, it can be applied to various geometric aspects of a curve, such as its slope. The concept of a function is also related to the Dirichlet concept. Dirichlet regarded y = x2 - 3x + 5 as a function which is thought of as the ... ...

• Word Count: 2379
• Approx Pages: 10
• Grade Level: High School

... use today can do a lot more complex problems, plus some of them allow the person using it to store numbers in the memory. Some have the ability to do complicated geometric, algebraic, trigonometric, statistical, and calculus functions. Now calculators operate on electrical power either by batteries, or solar cells. Also man is now able to read the answers on digital displays ... ...

• Word Count: 310
• Approx Pages: 1
• Grade Level: High School

The word "fractal" is short for fractional dimension. It's a geometric pattern that repeats itself at every smaller dimension to create countless number of replicas of the same pattern. This is done by adding a certain transformation to the original object. This ... ...

• Word Count: 741
• Approx Pages: 3
• Grade Level: High School