abstractmath.org 2.0
help with abstract math
Produced by Charles Wells Revised 2015-09-07 Introduction to this website website TOC website index blog
TABLE OF CONTENTS
This is a list of all the major articles on this site. The index gives a more detailed access to the
topics covered.
Introduction
Background and attitude
Diagnostic Examples
Index
The languages of math
Mathematical English
Assertions and statements
Names
Glossary
The symbolic language of math
Symbolic
expressions
Variables
Substitution
Some symbols used in math
Alphabets
Delimiters
Other symbols
More about math languages
Context
Embedding
Overloaded
notation
Preconditions
and postconditions.
Redundancy
Suppression
of parameters
Variations in meaning
Scope
Conventions
Defaults
Intent
of assertions
Parameters
Mathematical reasoning
And, or, not
Conditional assertions
Universally true assertions
Existence statements
Presentation of proofs
Forms of proof
Understanding math
Definitions
Mathematical
objects
Mathematical structures
Representations and models
Images and metaphors
Conceptual
and Computational
Other aspects of
understanding math
Abstraction
The
axiomatic method
Generalization
The ratchet
effect
Pattern recognition
Cognitive dissonance
Variable objects
Doing math
Useful behaviors
Dysfunctional attitudes and behaviors
Numbers
Natural
numbers
Integers
Rational
numbers
Real numbers
Sets
Sets: Notation
Some specific sets
Sets: Specification
Subsets and inclusion
Sets: Rules of Inference
Sets: Metaphors and images
Functions
Examples of
functions
Specification and definition of function
Notation and terminology for functions
Properties of functions
Images and metaphors for
functions
Representations of functions
Derivatives
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