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Mathematics
the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects.
Theoretical Mathematics
is the study of abstract mathematical structures which form the basic framework for the rest of the mathematical sciences.
Practical Math
a text/workbook that covers essential math concepts and how they are applied on the job
Mathematical thinking
process is the explanation and collaboration of mathematics through problem-solving, reasoning and proof, communication, connections, and representation.
Mathematics is a language
A phrase or formula has the same meaning, regardless of another language that accompanies it.
Mathematics is an art
Both disciplines require spatial reasoning skills and the ability to recognize patterns.
Logic Patterns
These patterns are seen on aptitude tests in which takers are shown a sequence of pictures and asked to select which figure comes next among choice
Number Patterns
is a pattern or sequence in a series of numbers. It shows a common relationship between all numbers
Geometric Patterns
motif or design that depicts abstract shapes like lines, polygons and circles, and typically repeats like wallpaper
Word Patterns
Patterns can also be found in language like the morphological rules on pluralizing nouns or conjugating verbs for tense, as well as the metrical rules of poetry.
Fibonacci Sequence
is an array of numbers that given two terms, the next term is determined by adding the given terms.
Constant
fixed and well-defined number or other mathematical object.
Variable
a symbol used to represent an arbitrary element of a set.
Algebraic expression
in mathematics, it is an expression which is made up of variables and constants along with algebraic operations
Algebraic equation
statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
Problem
Is a statement requiring a solution, usually by means of mathematical operation/ geometric construction
Problem Solving
Is a process and an ongoing activity which we take what we know to discover what we don’t know.
Problem Solving
It involves overcoming obstacle by generating hypothesis, testing those prediction and arriving at satisfactory solution
Method
ways and techniques used to get answer which will usually involve one or more solving strategies.
Answer
a number, quantity or some entity that the problem is asking for.
Solution
whole process of solving problem including the method of obtaining an answer and the answer itself
Reasoning
essential skills in math most especially in problem solving.
Reasoning
an ability of a person to analyze situations and construct logical arguments to justify to process or hypothesis
Hypothesis
1st clause “IF”
Conclusion
2nd clause “THEN”
Inductive Reasoning
Makes broad generalization from specific observation
Inductive Reasoning
Used in application that involve prediction, forecasting, behavior
Deductive Reasoning
the process of reaching conclusions based on previously known facts.
Deductive Reasoning
The conclusions reached by this type of reasoning are valid and reliable.