Calculus for AP is designed specifically for the AP Curriculum Framework and exam. For the first time, Ron Larson has partnered with an AP Calculus teacher to develop a program that meets the needs of the AP Calculus course while helping students develop mathematical knowledge conceptually. With a clear focus on course demands, Calculus for AP introduces content in the sequence most preferred by AP Calculus teachers, resulting in more complete content coverage. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Author: David Bock
Publisher: Barrons Educational Series
Release Date: 2017-02-01
Genre: Study Aids
Both Calculus AB and Calculus BC are covered in this comprehensive AP test preparation manual, which has been updated to align with the new curriculum framework taking effect for the 2017 AP Calculus AB and BC exams. The book’s main features include: Four practice exams in Calculus AB and four more in Calculus BC, modified to reflect the new exam format All test questions answered with solutions explained A detailed subject review covering topics for both exams Advice to students on efficient use of their graphing calculators BONUS ONLINE PRACTICE TEST: Students who purchase this book will also get FREE access to one additional full-length online AP Calculus test with all questions answered and explained.
Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.
Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well, substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinking on curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is geared toward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively. It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers.
Author: Judith Sowder
Publisher: W. H. Freeman
Release Date: 2016-11-11
Reconceptualizing Mathematics, founded on research and studies of learning and mathematics teaching for many years, is designed for use in classrooms in which students take an active part in learning and experience doing math. The esteemed author team has written the only textbook of its kind to both incorporate aspects of student-centered learning into lessons and model the teaching that will be expected of their students. To this end, the authors provide worthwhile tasks, activities, and support for facilitating discussions. Quantitative reasoning and problem solving are recurring themes in Reconceptualizing Mathematics. The authors approach problem solving that teaches students to understand the quantities embedded in the situation and how they relate to each other.