P2.1

Cards (11)

  • Language
    A systematic means of communicating by the use of sounds or conventional symbols
  • Mathematical language
    A system used in the field of mathematics to communicate mathematical ideas, concepts, and theories among people
  • Characteristics of mathematical language
    • Concise- Able to say things briefly
    • Powerful- Able to express complex thoughts with relative ease
    • Precise - able to make fine distinctions
  • The language of mathematics was designed for numbers, sets, functions, and performing operations
  • Context

    The particular topics being studied
  • Convention
    A fact, name, notation or usage which is generally agreed upon by many mathematicians
  • Conventions in mathematics
    • Capital letters used to name a dot or set and label vertices of a polygon
    • Always express fractions in the simplest form
    • Constructing a Venn diagram: represent universal set using a rectangle and various sets of objects using circular regions including those regions formed by intersection circles
    • Use the name of the definition, postulate or theorem instead of writing its content
    • Distances in a coordinate system are non-negative
  • Mathematical symbols
    Used to refer to certain quantities, concepts, and ideas
  • Common mathematical symbols
    • ∩, ∪, ⊂, ⊃ (Sets)
    • +, -, ×, ÷ (Operations)
    • 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 (The ten digits)
    • a, b, c, x and y (Variables)
    • =, ≠, ≈, <, >, ≤, ≥, π (Special symbols)
    • ~, ^, v, →, ↔ (Logic symbols)
    • N, W, Z, Q, R, C (Set Notations)
  • Mathematical expression
    A finite combination of symbols that is well-formed according to rules that depend on the context
  • Mathematical sentence

    A sentence that can be identified as either true or false