02. Midterms (Problem Solving And Reasoning) Flashcards
Uses critical thinking and problem solving
Provides context and indicate understanding
Governed by logic and sensible thinking
Reasoning
Uses critical thinking and problem solving
Provides context and indicate understanding
Governed by logic and sensible thinking
Reasoning
Is a conclusion made from observing data
Conjecture
Uses a guess or common sense
Reasoning without proof or evidence
Highly subjective
Often understood without concrete evidence, called a GUT FEELING
Intuition
A form of reasoning with similarities
Often inferred to make a point
Emphasizing an object or situation in a more understandable way
Analogy
Process of gathering specific information
Uses observation and measurement
A conjectured or conclusion made by gathering information
Inductive reasoning
Process of showing evidence or certain statements
That has a logical pattern that will reach a conclusion
It is backed by assumptions and proven facts
Deductive reasoning
An Egyptian mathematician and the father of geometry, spearheaded the usage of deductive reasoning to prove the shapes and the study of geometry
Euclid
What are the if then and converses
Conditional
Hypothesis
Conclusion
Converse
Biconditional
Consists of a hypothesis and conclusion, usually in if then form
Conditional
Conditional states that relies on truths given as facts. The if part of the conditional (requirements)
Hypothesis
Conditional states that a statement needs to be proven or established as true. This is the then part.
Conclusion
If the parts are reversed
Converse
Combines a conditional and converse with if and only if, provides specific conditions
Biconditional
Is a sequence of true facts (statements), organized in a logical order
Mathematical proofs
What reasons used for proving claims
Given information
Definition and undefined terms
Algebraic properties
Postulates of geometry
Previously proven geometric conjectures (theorem)
Necessary properties to be utilized in writing formal proofs
Algebraic and geometric proofs
What are the properties to write formal proofs
Real numbers
Reflexive
Symmetric
Transitive
Substitution
Distribution
What are the other more properties
Commutative property
Associative
Addition property of equality or ape
Multiplication property of equality or mpe
Even more properties (geometric properties)
Reflexive property
Symmetric property
Transitive property
Addition property of equality
Definition of congruent segments
