Decisions about who gets admitted to college, especially to selective institutions, are the result of a complex mix of policy and practice, and math expectations are part of that mix. Regardless of whether calculus is necessary for a student's college major, entrenched beliefs about calculus as a sign of rigor can play a significant role in…

The purpose of this sequential mixed methods study was to examine the relationship among student achievement factors, gifted and talented status and post-secondary readiness. The study included a review of archived data obtained from a large district in the southeastern region of Texas consisting of a purposeful sample of AP students' who took an…

We delineate some types of structured practice (modeling, requests, feedback, and space-making) that help students learn to pose appropriate questions and to initiate exploration of those questions. Developing skills requires practice, so we suggest ways to embed structured practice into existing class sessions. Including structured practice is…

Homework varies widely in importance among both teachers and students, as well as in subject areas. In mathematics, it is generally expected that it plays a critical role in students' understanding of mathematics and will be assigned daily. However, it is also understood that whether students take homework seriously can be difficult to ascertain.…

Throughout the school year, AP Calculus teachers strive to teach course content comprehensively and swiftly in an effort to finish all required material before the AP Calculus exam. As early May approaches and the AP Calculus test looms, students and teachers nervously complete lessons, assignments, and assessments to ensure student preparation.…

The Advanced Placement® (AP®) Program offers high school students the opportunity to take rigorous coursework in high school and receive college credit for AP Exam scores that meet or exceed the requirements of their attending institution. Students receiving AP credit are typically exempted from an introductory level course or series of courses…

This action research study used data from multiple assessments in Mechanics and Electricity and Magnetism to determine the viability of Modeling Instruction as a pedagogy for students in AP Physics C: Mechanics and Electricity and Magnetism. Modeling Instruction is a guided-inquiry approach to teaching science in which students progress through…

California Assembly Bill (AB) 705 authored by Irwin and passed on October 13, 2017, requires colleges to "maximize the probability that a student will enter and complete transfer-level coursework in English and math within a one-year timeframe" and use high school background data in placement processes. To implement this new law and…

This study describes the trends in course credit attainment (CCA) of high school students in required and non-required science and math courses and trends in registration in non-required science and math courses in Texas between 1997 and 2009. Using Texas Public Education Information Management System data between 1997 and 2009, it presents…

In this paper, we explore an approach to understanding how multimodality works in a community of practice. Using a social learning framework, we show how a community of practice, involving a pair of high school students, engaged in perceptual, bodily, and imaginary experiences while discussing about calculus concepts in a dynamic geometry…

Students at all levels often generate ideas that are not obviously right or wrong, and, when they do, it is productive to take time to explore the ideas as a group. Some of these ideas are really strange. Occasionally, they are so strange that even the teacher might not know what to think of them. This is the story of what Cosby's rule is, how it…

The purpose of this action research was to investigate how the use of technology promotes interaction to foster high school students' mathematical understanding. This mixed method study is guided by social-constructivist theory (Vygotsky, 1978) and framed within Moore's (1989) model of learner-content, learner-instructor, and learner-learner…

A set of ten students from an urban high school were interviewed regarding experiences in Advanced Placement (AP) and non-Advanced Placement courses in high school. Those participants who took an AP Calculus course described opportunities during high school where cultural capital and social capital lead to a successful experience in college. Those…

The authors sought to better understand the relationship between students participating in the Advanced Placement (AP) program and subsequent performance on the Scholastic Aptitude Test (SAT). Focusing on students graduating from U.S. public high schools in 2010, the authors used propensity scores to match junior year AP examinees in 3 subjects to…

The goal of the present study was to report an instrument designed to determine students' mathematical performances and preference for visual or analytic thinking for the calculus derivative and antiderivative tasks as well as examine the relationships among students' cognitive style, cognitive ability, and mathematical performance in calculus.…