Ideas foundational to calculus learning and their links to students' difficulties
PW Thompson, G Harel - ZDM–Mathematics Education, 2021 - Springer
Existing literature reviews of calculus learning made an important contribution to our
understanding of the development of mathematics education research in this area …
understanding of the development of mathematics education research in this area …
[PDF][PDF] Variation, covariation, and functions: Foundational ways of thinking mathematically
PW Thompson, MP Carlson - Compendium for research in …, 2017 - researchgate.net
In beginning this chapter we immediately faced a dilemma. There is nothing that can be
called “the concept of function.” The phrase “concept of function,” regardless of its meaning …
called “the concept of function.” The phrase “concept of function,” regardless of its meaning …
Learning is moving in new ways: The ecological dynamics of mathematics education
D Abrahamson, R Sánchez-García - Journal of the Learning …, 2016 - Taylor & Francis
Whereas emerging technologies, such as touchscreen tablets, are bringing sensorimotor
interaction back into mathematics learning activities, existing educational theory is not …
interaction back into mathematics learning activities, existing educational theory is not …
Teaching with embodied learning technologies for mathematics: Responsive teaching for embodied learning
As technologies that put the body at the center of mathematics learning enter formal and
informal learning spaces, we still know little about the teaching methods educators can use …
informal learning spaces, we still know little about the teaching methods educators can use …
Secondary mathematics teachers' meanings for measure, slope, and rate of change
C Byerley, PW Thompson - The Journal of Mathematical Behavior, 2017 - Elsevier
This article reports an investigation of 251 high school mathematics teachers' meanings for
slope, measurement, and rate of change. The data was collected with a validated written …
slope, measurement, and rate of change. The data was collected with a validated written …
Quantitative reasoning and the sine function: The case of Zac
KC Moore - Journal for Research in Mathematics Education, 2014 - pubs.nctm.org
A growing body of literature has identified quantitative and covariational reasoning as critical
for secondary and undergraduate student learning, particularly for topics that require …
for secondary and undergraduate student learning, particularly for topics that require …
An exponential growth learning trajectory: Students' emerging understanding of exponential growth through covariation
This article presents an Exponential Growth Learning Trajectory (EGLT), a trajectory
identifying and characterizing middle grade students' initial and developing understanding …
identifying and characterizing middle grade students' initial and developing understanding …
Covariational reasoning and invariance among coordinate systems
Researchers continue to emphasize the importance of covariational reasoning in the context
of students' function concept, particularly when graphing in the Cartesian coordinate system …
of students' function concept, particularly when graphing in the Cartesian coordinate system …
Mathematical modelling and discrete mathematics: opportunities for modern mathematics teaching
Discrete mathematics and mathematical modelling, along with the educational discourse
surrounding these, have many connections. However, ways that the educational discourse …
surrounding these, have many connections. However, ways that the educational discourse …
Secondary students' quantification of ratio and rate: A framework for reasoning about change in covarying quantities
HL Johnson - Mathematical Thinking and Learning, 2015 - Taylor & Francis
Contributing to a growing body of research addressing secondary students' quantitative and
covariational reasoning, the multiple case study reported in this article investigated …
covariational reasoning, the multiple case study reported in this article investigated …