| Author |
Theoretical
Perspective
|
Conceptual
Framework
|
Literature
Review
|
Research Paper
|
Elizabeth Baker
|
|
Limit
metaphors
|
Sequences
and series
|
|
Connie Carruthers
|
Emergent
perspective
|
Mathematical modeling
|
Trigonometric
functions
/ periodicity
|
Right-triangle ratio vs. unit circle
definition of trigonometric functions
|
Nicole Engelke
|
Transformational
reasoning, cognitive models, non-propositional reasoning
|
Intra, Inter, Trans genetic
decomposition
of the chain rule
|
Derivatives
|
Precalculus students understanding of
composition of functions
|
Arlene Evangelista
|
Tool use
|
Rate of change / derivatives
|
Graphing
|
The role of graphs in understanding
rate of change
|
Jessica Knapp
|
Appropriation
/
mediation
|
Proof
and
definition
|
Advanced
calculus and limit
proofs
/ formal reasoning about limits
|
Metonymy
|
Vicki Sealey
|
Mathematical
modeling |
Rate
of change / accumulation
|
Riemann
sums and definite
integrals |
Student
understanding of accumulation and Riemann sums
|
Colleen Megowan
|
Realistic
mathematical education / horizontal & vertical mathematizing
|
Vectors
|
Geometry
|
Distributed cognition
|
April Strom
|
Enculturation
/ acculturation,
contextualization
/ habituation
|
Covariational
reasoning
generally
& applied to exponential functions in particular
|
Linear
and exponential functions |
Covariational
reasoning with exponential functions
|
Yvonne Zeka
|
APOS
& structural /
operational
thinking
|
Exponential
functions
|
Multiplicative
reasoning
|
Teachers’
Understandings of Exponential Functions
|