Precalculus
Pathways to Calculus: A Problem Solving Approach Student WorkbookSeventh Edition ©2019
Designed to foster student learning and success, the Precalculus: Pathways to Calculus course has been proven to build student understanding of foundational ideas for success in future courses in mathematics, the sciences, business, and medicine. The accompanying workbook is published by H...
ISBN:9780738094526
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Pathways to Calculus
Designed to foster student learning and success, the Precalculus: Pathways to Calculus course has been proven to build student understanding of foundational ideas for success in future courses in mathematics, the sciences, business, and medicine. The accompanying workbook is published by Hayden-McNeil and available for purchase as part of the Pathways to Calculus online curriculum available through Rational Reasoning at https://www.rationalreasoning.net.
Marilyn Carlson and her co-authors have divided the course into eleven modules that build student understanding of central concepts and fluency in solving problems. Precalculus: Pathways to Calculus is based on over 20 years of research on student learning in calculus and precalculus and has been refined through repeated research iterations to assure that students emerge from the course with the knowledge and confidence to persist in STEM fields.
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Table of Contents
Module 1. Practicing Symbolic ReasoningModule 2. Reasoning About and Representing Quantitative Relationships
Module 3. Formalizing Relationships between Quantities: Functions
Module 4. Exponential and Logarithmic Functions
Module 5. Polynomial and Power Functions
Module 6. Rational Functions and an Introduction to Limit
Module 7. Angle Measure and Trigonometric Functions
Module 8. Right Triangle Trigonometry
Module 9. Polar Coordinates
Module 10. Vectors
Module 11. Sequences and Series
Authors
Marilyn Carlson
Dr. Carlson is currently a professor in the School of Mathematical and Statistical Sciences and Director of Research Innovations in Mathematics Education at Arizona State University. Her current National Science Foundation (NSF) funded research project is developing and studying interventions and instructional resources to improve mathematics teaching and learning in undergraduate transition courses in mathematics.
Dr. Carlson was the Coordinator of the Mathematical Association of America’s (MAA) Special Interest Group for Research in Mathematics Education, and co-edited the MAA Volume, Making the Connection: Research to Practice in Mathematics Education. She received an NSF CAREER award to study student learning in calculus and has been continuously funded by NSF to conduct research on teaching and learning of precalculus and beginning calculus. In 2007 she received the MAA Selden Award for Research in Undergraduate Mathematics Education, and in 2013 she received the Outstanding Doctoral Mentor award at Arizona State University.
Dr. Carlson has served as Director of First-Year Mathematics at the University of Kansas and Arizona State University, and led the development of a Ph.D. concentration in mathematics education in ASU’s School of Mathematical and Statistical Sciences. She is the author of more than 60 published research papers. Dr. Carlson served on a National Research Council panel investigating advanced mathematics and science programs in U.S. high schools, and has participated in policy deliberations at state and national levels. Dr. Carlson has been an invited speaker at numerous international conferences; is a consultant to peer universities seeking to improve undergraduate programs in mathematics; has traveled to study school mathematics as practiced in China, Japan, and Singapore; and is engaged in national efforts to improve U.S. programs that educate and support teachers.
Michael Oehrtman
Kevin Moore
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