A fresh start for collegiate mathematics

Author: Nancy Baxter Hastings
Publisher: Mathematical Assn of Amer
ISBN: 0883851792
Release Date: 2006-02
Genre: Mathematics

Each year, over 1,000,000 students take college-level courses below calculus such as precalculus, college algebra and others that fulfill general education requirements. Most college algebra courses, and certainly all precalculus courses, were originally intended to prepare students for calculus. Most are still offered in this spirit, even though only a small percentage of students have any intention of taking calculus. This volume examines how the courses below calculus might be refocused to provide better mathematical experiences for all students. This initiative involves a greater emphasis on conceptual understanding with a de-emphasizing on rote manipulation. It encourages the use of realistic applications, math modeling and data analysis that reflect the ways mathematics is used in other disciplines. It promotes the use of active learning approaches, including group work, exploratory activities and projects. It emphasizes communication skills: reading, writing, presenting and listening. It endorses the appropriate use of technology to enhance conceptual understanding, visualization, and to enable students to tackle real-world problems.The 49 papers in this volume seek to focus attention on the problems and needs of the courses and to provide guidance to the mathematics community. Major themes include: new visions for introductory collegiate mathematics, transition from high school to college, needs of other disciplines, research on student learning, implementation issues, and ideas and projects that work.

Readings in Innovative Ideas in Teaching Collegiate Mathematics

Author: Mohammad-Hossain Ahmadi
Publisher: University Press of America
ISBN: 0761823255
Release Date: 2002
Genre: Education

Readings in Innovative Ideas in Teaching Collegiate Mathematics is a collection of papers contributed by professional mathematicians in the United States and Great Britain. The topics in this volume represent the pros and cons of implementing creative instructional styles such as cooperative learning and educational technology in classrooms. The main objective of this book is to share the implementation and outcomes of these experiments with the teachers of mathematics at all educational levels and help them to learn about different teaching strategies and how they might incorporate them in their classrooms.

Research in Collegiate Mathematics Education III

Author: James J. Kaput
Publisher: American Mathematical Soc.
ISBN: 9780821808825
Release Date: 1998
Genre: Mathematics

Volume III of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching, and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem solving - included here are three different articles analyzing aspects of Schoenfeld's undergraduate problem-solving instruction. The articles provide new detail and insight on a well-known and widely discussed course taught by Schoenfeld for many years. Understanding concepts - these articles feature a variety of methods used to examine students' understanding of the concept of a function and selected concepts from calculus. The conclusions presented offer unique and interesting perspectives on how students learn concepts.Understanding proofs - this section provides insight from a distinctly psychological framework. Researchers examine how existing practices can foster certain weaknesses. They offer ways to recognize and interpret students' proof behaviors and suggest alternative practices and curricula to build more powerful schemes. The section concludes with a focused look at using diagrams in the course of proving a statement.

Handbook of Research on Active Learning and the Flipped Classroom Model in the Digital Age

Author: Keengwe, Jared
Publisher: IGI Global
ISBN: 9781466696815
Release Date: 2015-11-12
Genre: Education

The notion of a flipped classroom draws on such concepts as active learning, student engagement, hybrid course design, and course podcasting. The value of a flipped class is in the repurposing of class time into a workshop where students can inquire about lecture content, test their skills in applying knowledge, and interact with one another in hands-on activities. The Handbook of Research on Active Learning and the Flipped Classroom Model in the Digital Age highlights current research on the latest trends in education with an emphasis on the technologies being used to meet learning objectives. Focusing on teaching strategies, learner engagement, student interaction, and digital tools for learning, this handbook of research is an essential resource for current and future educators, instructional designers, IT specialists, school administrators, and researchers in the field of education.

Promoting Active Learning through the Flipped Classroom Model

Author: Keengwe, Jared
Publisher: IGI Global
ISBN: 9781466649880
Release Date: 2014-01-31
Genre: Education

"This book focuses on an in-depth assessment on strategies and instructional design practices appropriate for the flipped classroom model, highlighting the benefits, shortcoming, perceptions, and academic results of the flipped classroom model"--Provided by publisher.

Blended Learning Concepts Methodologies Tools and Applications

Author: Management Association, Information Resources
Publisher: IGI Global
ISBN: 9781522507840
Release Date: 2016-08-18
Genre: Education

Traditional classroom learning environments are quickly becoming a thing of the past as research continues to support the integration of learning outside of a structured school environment. Blended learning, in particular, offers the best of both worlds, combining classroom learning with mobile and web-based learning environments. Blended Learning: Concepts, Methodologies, Tools, and Applications explores emerging trends, case studies, and digital tools for hybrid learning in modern educational settings. Focusing on the latest technological innovations as well as effective pedagogical practice, this critical multi-volume set is a comprehensive resource for instructional designers, educators, administrators, and graduate-level students in the field of education.

College Algebra Concepts and Contexts

Author: James Stewart
Publisher: Cengage Learning
ISBN: 9780495387893
Release Date: 2010-01-05
Genre: Mathematics

This text bridges the gap between traditional and reform approaches to algebra encouraging students to see mathematics in context. It presents fewer topics in greater depth, prioritizing data analysis as a foundation for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical concepts as well as connecting mathematics to real life situations drawn from the students' majors. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.