MMW P2

• Language - The system of words, signs, and symbols which people use to express ideas, thoughts, and feelings
• Mathematical Language - The system used to communicate mathematical ideas.
• Nouns (Numbers, measurements, shapes, spaces, functions, patterns, data, and arrangement)
• Verbs (Considered as the four main actions to problem solving and reasoning)
• Modeling and Formulating - Creating appropriate representations and relationships to mathematize the original problem.
• Transforming and Manipulating - Changing the mathematical form in which a problem is originally expressed to equivalent form that represents solution.
• Inferring - Applying derived results to the original problem situation and interpreting and generalizing the result.
• Communicating - Reporting what hs been learned about a problem to a specific audience
• 4 mathematical verbs

  Modeling and Formulating

  Transforming and Manipulating

  Inferring

  Communicating
• Characteristics of mathematical language

  Mathematical language is non-temporal. Mathematical language is devoid of emotional content. Mathematical language is precise.
• When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, and exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
• Ex: 2x+10 Numerical Coeffiicient (the number attached to the variable) = 2 Literal Coefficient (the variable itself) = x Constant (any single number) = 10
• Mathematical Sentence - Combination of two mathematical expression using a comparison operator.
• Equation - Mathematical Expressions containing equal signs.
• Inequality - Mathematical Expressions containing inequality signs.
• Close sentence - Known to be either true or false.
• Open sentence - Not known whether true or false
• Context - it refers to a particular topics that being studied
• Convention - a technique used by mathematician, engineers and scientists in which a particular symbol has a particular meaning