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Mathematical Reasoning
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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| 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 |
Connective reasoning | Operation with steps |
Mathematical modeling | Process of finding formulas. Formulas model, or describe, the relationship among the variables. |