math

• Mathematics may be viewed in different perspectives.
• Mathematics is the development of all types of formal deductive reasoning.
• Mathematics is generally viewed as the science of calculation.
• Others view mathematics as a science of numbers and space.
• Still others view mathematics as a science of measurement, quantity and magnitude.
• John Locke viewed mathematics as a way to settle in the mind of children a habit of reasoning.
• Paul Bernays viewed mathematics as a discipline investigating “format structures”.
• Bertrand Russell viewed mathematics as the “science of orders”.
• Sir William Rowan Hamilton viewed mathematics as the “science of order in progression”.
• Mathematics has been described as a logical construct that is based on a lot of axioms of either set theory or number theory.
• Mathematics is derived from the ancient word manthanein meaning “to learn”.
• The Greek root mathesis means “knowledge” or its other form mathema meaning science, knowledge, or learning, and mathematikós or mathemata means “fond of learning”.
• Mathematics is described as a study of patterns and relations.
• Mathematics is also a way of thinking.
• Mathematics is seen as an art which is characterized by order and internal consistency.
• Mathematics uses carefully defined terms and symbols.
• Mathematics is a tool.
• Mathematics has five basic characteristics: precision, definition, reasoning, coherence, and purposefulness.
• Mathematics is precise in the sense that mathematical statements are clear and unambiguous.
• Mathematics is the bedrock of mathematical structure and the platform that supports reasoning.
• Reasoning is the lifeblood of mathematics.
• Mathematics is the engine that drives proving and problem solving.
• Mathematics is goal-oriented, and for every concept or skill there is a purpose for it.
• Godfrey Harold Hardy stated that the beauty of mathematics resides in the fact that mathematics is all about patterns of ideas.
• Keth Devlin defines mathematics as the “science of patterns”.
• Mathematics is often described as the language of science.
• Mathematics is the science of patterns and relationships.
• Patterns provide a sense of order and allow one to make an educated guess.
• Disciplines such as physics, chemistry, and biology are based on making hypothesis and hypotheses are often based on patterns.
• Assumptions are also based on patterns, recurring patterns.
• The understanding of patterns aids in the development of mental skills needed in the transformation of ideas to information, then to knowledge.
• A pinecone exhibits the pattern of spirals of both directions – 13 clockwise and 8 counterclockwise, which are consecutive terms of the Fibonacci Sequence.
• A reflection in the plane moves an object into a new position that in a mirror image of the original position.
• A glide reflection is an isometry that consists of translation followed by a reflection.
• The scales of pineapples are hexagonal in shape, a pattern associated with Phi.
• A geometric pattern is created by moving a geometric object from one piece to another without changing its size or shape.
• The world around us seems to be made up of several distinct patterns, evolving various complex steps of formation.
• A number pattern is a set of numbers that follows a specific sequence or arrangement.
• The ratio between two consecutive terms of the Fibonacci sequence tends to the number 1.61803399, a number commonly encountered when taking ratios of distances in simple geometric figures such as pentagons, decagons, and dodecagons.
• Arrangements of numbers are either ascending or descending order and have basic operations of mathematics or a particular series of arithmetical operations like addition or multiplication repeatedly done.