31/12/2018

Algebra I Khan Academy

mathIt’s a question every math teacher hears. The study of space originates with geometry – in particular, Euclidean geometry , which combines space and numbers, and encompasses the well-known Pythagorean theorem Trigonometry is the branch of mathematics that deals with relationships between the sides and the angles of triangles and with the trigonometric functions.

Cambridge mathematician Timothy Gowers suggests one possible answer in his Mathematics: A Very Short Introduction, in answering the question “Why do so many people positively dislike mathematics.” He writes: “Probably it is not so much mathematics itself that people find unappealing as the experience of mathematics lessons – because mathematics continually builds on itself, it is important to keep up when learning it.” (His comment will ring true to anyone who remembers endless third-grade drills on the multiplication tables.) Standardized instruction and memorization of these details has to move at a certain plodding pace, which leaves some students bored and others, who are slower to grasp a concept, frustrated.

If students can work at math in the way that they work at other, more pleasurable problem-solving tasks – moving at the pace that’s comfortable to them, so that they aren’t inhibited by frustration, fear of failure, and invidious comparison to faster-moving classmates – they may find themselves taking satisfaction in their own intellectual attainments, enjoying the intrinsic incentives that make scholarly success its own reward for top students.

Topology in all its many ramifications may have been the greatest growth area in 20th-century mathematics; it includes point-set topology , set-theoretic topology , algebraic topology and differential topology In particular, instances of modern-day topology are metrizability theory , axiomatic set theory , homotopy theory , and Morse theory Topology also includes the now solved Poincaré conjecture , and the still unsolved areas of the Hodge conjecture Other results in geometry and topology, including the four color theorem and Kepler conjecture , have been proved only with the help of computers.

Maths Charts is a collection of over 270 free printable maths posters suitable for interactive whiteboards, classroom displays, math walls, student handouts, homework help, introduction and consolidation of mathematical topics and other math reference needs.math