GNED 03 - Lesson 1

• Mathematics 


  The study of relationship among numbers, quantities, and shapes.
• Mathematics 


  It includes the different fields of mathematics such as arithmetic, algebra, trigonometry, geometry, statistics, and calculus.
• Mathematics 


  It nurtures human characteristics like power of creativity, reasoning, critical thinking, spatial thinking and others.
• Arithmetic 


  A branch of mathematics that deals with numbers and their basic operations
• Algebra


  A branch of mathematics in which it extended to deal with unknown numbers or relationships using letters and other symbols
• Geometry 


  A branch of mathematics that studies the sizes, shapes, positions, angles and dimensions of things.
• Trigonometry 


  A branch of mathematics that deals with the study of relationship between sizes and angles in a right-angled triangle
• Statistics 


  It is the study on how to collect, organize, and interpret numerical information from data.
• Calculus 


  Mathematics of change and motion.
• Patterns in nature visible regularities found in the natural world. These patterns persist in different contexts and can be modelled mathematically.

  Patterns visible regularities found in the natural world. These patterns persist in different contexts and can be modelled mathematically.regularities found in the natural world. These patterns persist in different contexts and can be modelled mathematically.
• Spiral


  patterns in a circular curving line that goes around a central point while getting closer to or farther away from it.
• Symmetry 


  It indicates that you can draw an imaginary lines across an object and resulting parts are mirror images of each other.
• Bilateral Symmetry 


  The figure to the right is symmetric about x-axis indicate by the dotted lines.
• Rotational Symmetry 


  Is property a shape has when it looks the same after some rotation by a partial turn.
• Mosaic


  Something made up of different things, that together form a pattern.
• Stripes


  Line of long narrow section differing in color and texture from parts adjoining.
• Tessellations


  tilling of plane using one or more geometric shapes called tiles, with no overlaps and no gaps.
• Radial


  Arranged or having parts arranged in straight line coming out from the center of a circle.
• Joseph Plateau


  He is Belgian physicist that examined soap films, leading him to formulate the concept of minimal surface.
• Ernst Haeckel


  German biologist and artist
• Haeckel painted hundreds of marine organisms to emphasize their symmetry
• D'arcy Thompson 


  A Scottish biologist who pioneered the study of growth patterns in both animals and plants, showing that simple equation could explain spinal growth
• Alan Turing


  A British mathematician of 20th century who predicted mechanisms of morphogenesis which give rise to patterns of spots and stripes.
• Aristid Lindenmayer, Benoit Maldenbrot

  A Hungarian biologist and French American mathematician who showed how mathematics of fractal could create plants growth patterns.
• W. Gary Smith


  he adopted the eight patterns in his landscape work.
• Eight Patterns

  • Scattered
  • Fractured
  • Mosaic
  • Naturalistic Drift
  • Serpentine
  • Spiral
  • Radial
  • Dendritic
• Leonardo Pisano Bigollo


  He lived between 1170 and 1250 in Italy.
• Son of Bonacci


  His nickname fibonacci roughly means
• Leonardo Pisano Bigollo 


  He helped in spread of hindu arabic numerals through Europe in place of Roman Numerals
• Fibonacci Day


  November 23
• F1


  1
• F2


  1
• F3


  2
• F2


  1
• F4


  3
• F5


  5
• F7


  13
• F8


  21
• Golden Ratio


  Denoted by symbol phi
• 1.618034


  phi is approximately equal to