Mathematical Reasoning

Mathematics8 CardsCreated 4 months ago

This deck covers key concepts in mathematical reasoning, including types of reasoning, basic operations, and problem-solving strategies.

Inductive reasoning

Arriving at a general conclusion based on observation. Not valid form of proof. Aka conjectures, hypotheses, educated guess
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Key Terms

Term
Definition
Inductive reasoning
Arriving at a general conclusion based on observation. Not valid form of proof. Aka conjectures, hypotheses, educated guess
Deductive reasoning
Process of proving a specific conclusion from one or more general statements. A conclusion of this process is a theorem.
Product
Result of multiplication
Quotient
Result of division
Estimation
Arriving at an approximate answer. Rounding.
Polya’s four steps in problem solving
Step 1- Understand problem Step 2- Devise a plan Step 3- Carry out the plan and solve the problem Step 4- Look back and check the answer

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TermDefinition
Inductive reasoning
Arriving at a general conclusion based on observation. Not valid form of proof. Aka conjectures, hypotheses, educated guess
Deductive reasoning
Process of proving a specific conclusion from one or more general statements. A conclusion of this process is a theorem.
Product
Result of multiplication
Quotient
Result of division
Estimation
Arriving at an approximate answer. Rounding.
Polya’s four steps in problem solving
Step 1- Understand problem Step 2- Devise a plan Step 3- Carry out the plan and solve the problem Step 4- Look back and check the answer
Connective reasoning
Operation with steps
Mathematical modeling
Process of finding formulas. Formulas model, or describe, the relationship among the variables.