MMW

• MATHEMATICS

  • “mathematike” meaning “that which is learned”  and “Mathematikos” meaning “inclined to learn”.
• Mathematics is derived from two Greek words

  • Manthanei - learning
  • Teche - art or technique
• Mathematics can be defined as the art of learning, particularly in relation to various disciplines and faculties.
• Aristotle described mathematics as the science of quantity. (until the 18th century)
• Mathematics includes abstract topics such as group theory and project geometry, which are not directly related to measurement and quantity. (19th century)
• Formalism, intuitionism, and logicism are the three main schools that emerged in the 20th century.
• Formalists define mathematics as a formal system, a set of symbols or tokens governed by rules that dictate how these symbols may be combined into formulas.
• Intuitionists view mathematics as a process of mental construction.
• Logicists believe that all mathematics can be reduced to symbolic logic.
• Mathematics is an abstract science of patterns, structures and relations of numbers, quantities, shapes and spaces.
• PYTHAGOREANS (600 BCE) "all is number"

  • Mathēmatikós - fond of learning
  • Máthēma - knowledge
  • Mánthanein - learning
• Mathematics

  • The origin is as far back as when

  prehistoric humans started to develop awareness of form and quantity (Math Through the Ages, 2019).
• Mathematics

  • Field of study, way of thinking, tool, language, creative activity, social construct, and human endeavor.
• MATHEMATICS AS A HUMAN ENDEAVOR

  • a way of understanding and navigating the world around us – concrete or abstract in nature.
• Symmetry is nature's masterpiece that generates equilibrium and coordination.
• Symmetry is the quality of being made up of exactly similar parts facing each other or around an axis.
• Bilateral symmetry is the arrangement of body parts into left and right halves on either side of a central axis.
• An object has bilateral symmetry if you put a line in the middle and each half is the mirror image of the other. The line is called line of symmetry or mirror line.
• Rotational symmetry also known as the radial symmetry is the property a shape has when it looks the same after some rotation by partial turn.
• Order of symmetry is the number of positions in which a figure can be rotated and still appears exactly as it did before the rotation.
• Spectrum of Mathematical Literacy

  • Quantitative Literacy
  • ability to interpret and reason with quantitative information mathematical knowledge and skills for everyday life
• Forms of Quantitative Literacy

  • number sense
  • computations
  • measurements and shapes
  • money sense
  • evaluating chance
  • telling and tracking time
• • Vocational Mathematics
  • routine use of mathematical tools for specific work or activity
• Forms of Vocational Mathematics

  • balancing accounts
  • statistical surveys
  • computing
  • electric circuits
  • pharmacy
  • dressmaking
  • farming
  • carpentry
  • machine operations
  • scheduling work
  • cashier
• • Applied Mathematics
  • development and application of mathematical principles in different disciplines
• Forms of Applied Mathematics

  • operations research
  • actuarial science
  • mathematical biology
  • mathematics education
  • computer science
  • mathematical statistics
  • Engineering
• Theoretical Mathematics

  • discovery of mathematical principles
• Forms of Theoretical Mathematics

  • abstract algebra
  • projective geometry
  • functional analysis
  • topology
  • combinatorics
  • number theory
  • graph theory
• • MATHEMATICAL THINKING
  • finding patterns, structures and relations
• A stripe is a long, narrow band or strip differ in color or texture on a surface.
• A spot is a small round or roundish mark differ in color or texture on a surface.
• Voronoi diagram is a partition of a plane into regions close to each of a given set of objects.
• Fractal is a non-regular geometric shape that has the same degree of non regularity on all scales.
• Spiral is a curve which emanates from a point, moving farther away as it revolves around the point.
• Geometry is a branch of mathematics concerned with the properties and relations of points, lines, surface, solids, and higher dimensional analogues.
• Exponential growth is a pattern of data that shows sharper increases over time.

  
  

  A = Pe^rt
• The Fibonacci sequence is a type of series where each number is the sum of the two that precede it.
• Fibonacci sequence was named after Leonardo of Pisa or Leonardo Fibonacci.
• SEQUENCES

  • List of numbers in a definite order
  • Function whose domain is the set of natural numbers
  • Behavior of the sequence as n tends to infinity
• Elements or Terms

  • The numbers in the range of a sequence.
  • Ex. {2, 4, 6, 8…}
  • a1= 2
  • a2= 4
  • a3= 6
  • a4= 8