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Proving Existence Nonconstructively
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Sociomathematical Norms
Logical Implication
Quantification
Mathematical Induction
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EXPERIMENTAL MODULE
Tasks
Alternative Language for Implications
Analyzing "Proofs" of a Logical Implication
Determining the Validity of an Argument
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Proving Existence Nonconstructively
The Role of k Versus n in Mathematical Induction
Determining How Order of Quantification Impacts Mathematical Logic
Showing an Implication is False
Proving Multiply Quantified Statements
An Introduction to Multiply Quantified Statements
Introduction to the Existential Quantifier
Introduction to the Universal Quantifier
Contrapositive Equivalence
Introducing the Concept of Negation
Addressing Quantification of the Negation
Properties of the Composition of Functions
Proving Existence Constructively
Translating Mathematical Symbols into Meaningful Understanding
Identifying Valid Mathematical Statements
Determining Relationships Between Truth Sets
Heuristics
Proving Existence Nonconstructively
Proving Existence Nonconstructively
A task for introducing students to proving existence statements nonconstructively.
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