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…

This study examined outcomes for AP® Calculus and AP Physics students on the 2015 Trends in International Math and Science Study (TIMSS) relative to other participating countries and other advanced math and science students in the United States. Compared to other countries in the study, AP Calculus BC and AP Physics C: EM students outperformed all…

Many students are passively engaged in mathematics content across the United States because they are in classrooms that use traditional instruction methods (i.e. lecture and guided practice). Calculus is a struggle for students because of the critical thinking, conceptual understanding, and problem solving required. Active learning has been shown…

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…

The purpose of the present action research study is to describe a hands-on activity model, named the Constructed Scaffold Model (CSM), used in an Advanced Placement Calculus class in a southeastern United States suburban high school. Data were collected over an 8-week period during the spring 2017 semester. The teacher-researcher developed a…

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…

There are specific topics in college calculus that can be major stumbling blocks for students. Having taught college calculus for four years to over a thousand students, we observed that even the students who have already taken pre-calculus or calculus during their high school careers had common misunderstandings. Students may remember a technique…

This dissertation explores the views and experiences of high school calculus teachers and college mathematics professors on the professional development which occurs at the annual national AP Calculus exam grading. This professional development experience comes in several forms: the exam briefing sessions, the actual reading of the exams, the…

Due in part to the growing popularity of the Advanced Placement program, an increasingly large percentage of entering college students are enrolling in calculus courses having already taken calculus in high school. Many students do not score high enough on the AP calculus examination to place out of Calculus I, and many do not take the…

The purpose of this study was to address Advanced Placement (AP)® policy-related questions from administrators at the University System of Georgia (USG) using current AP Exam records and student course performance at four institutions. Specifically, comparisons of sequent or subsequent course grades were made between AP and non-AP students. This…