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 …

Mathematics during the late 18th century through the early 20th century experienced a
period of turmoil and renewal that was rooted in a variety of attempts to put mathematics on …

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 …

Since its first publication, Teaching Secondary School Mathematics has established itself as
one of the most respected and popular texts for both pre-service and in-service teachers …

This study considers tertiary calculus students' and instructors' conceptualizations of slope.
Qualitative techniques were employed to classify responses to 5 items using …

In the field of mathematics education, understanding teachers' content knowledge
(Grossman, 1995; Hill, Sleep, Lewis, & Ball, 2007; Munby, Russell, & Martin, 2001) and …

In this paper a framework for slope is proposed using APOS (Action-Process-Object-
Schema) Theory and conceptualizations of slope previously identified in research. The …

Rate is an important, but difficult, mathematical concept. Despite more than 20 years of
research, especially with calculus students, difficulties are reported with this concept. This …

This study looked at how a group of South African secondary school mathematics teachers
regarded the concept of gradient (slope). Results are reported from nine free-response items …

Over the past two decades, the flipped classroom model has gained traction in post-
secondary educational settings. However preliminary studies indicate that students perceive …