About twenty years ago, a large, rural, doctoral granting institution with an undergraduate population of approximately 24,000 in the pacific northwest of the United States established the Math Excel program. Students would attend lectures three times a week for 50 minutes like a traditional course, and they would also attend...
The study examined classroom instructional practices and teacher's
professed conceptions about teaching and learning college calculus in
relationship to the implementation of scientific-programmable-graphics (SPG)
calculators. The study occurred at a university not affiliated with any reform
project. The participants were not the catalysts seeking to implement calculus
reform, but expressed...
It has been held that heuristic training alone is not enough for developing one's mathematical thinking. One missing component is a mathematical point of view. Many educational researchers have proposed problem-based curricula to improve students' views of mathematical thinking. The present study reports findings regarding effects of a problem-based calculus...
This investigation was designed to determine whether a remediation
program concurrent to enrollment in the Calculus could be used
to reveal and remedy student deficiencies involving pre-calculus topics,
promoting a greater degree of success in the Calculus. The instructional
model for the program that was investigated consisted of pretesting
the...
This investigation was designed to determine the general achievement,
ability to solve applied problems, and attitude toward the role of
mathematics in science of college calculus students grouped in an
experimental class according to academic major during their first
three terms. The subgroups were biology-business, mathematics,
and science-engineering majors. The...
The main goal of the study was to investigate high school advanced placement
calculus teachers' subject matter and pedagogical perceptions by examining the following
questions: What are the teachers' perceptions of the concept of limit, the role of limits,
and the teaching of limits in calculus? Additionally, the sampling technique...
This research seeks to answer the question, "What does it mean for a student to
understand the concept of derivative?" A structured way to describe an individual student's
understanding of derivative is developed and applied to analyzing the evolution of that
understanding for each of nine high school seniors during...
This study investigated how the use of supercalculators
(HP 28S and HP 48SX) affects students' conceptual understanding of
differential and integral calculus. Students (n = 324) from 12
institutions throughout the United States studied an experimental
curriculum emphasizing multiple representations (symbolic,
numerical, graphical). (The curriculum was developed through the
Oregon...
Multiple factors are known to influence student success in higher education. Barriers to postsecondary success for underrepresented STEM students are numerous and well documented. We detail an exploratory study of STEM faculty notions of successful students and the instructional practices they employ to cultivate student success. We use a conceptual...
This paper explores the affordances and constraints of STEM faculty members' instructional data-use practices and how they engage students (or not) in reflection around their own learning data. We found faculty used a wide variety of instructional data-use practices. We also found several constraints that influenced their instructional data-use practices,...