A fresh start for collegiate mathematics

rethinking the courses below calculus

Author: Nancy Baxter Hastings

Publisher: Mathematical Assn of Amer

ISBN: 9780883851791

Category: Mathematics

Page: 396

View: 6226

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: 9780761823254

Category: Education

Page: 177

View: 8054

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,Alan H. Schoenfeld,Ed Dubinsky

Publisher: American Mathematical Soc.

ISBN: 0821808826

Category: Mathematics

Page: 316

View: 5209

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.

Research in Collegiate Mathematics Education II

Author: James J. Kaput

Publisher: American Mathematical Soc.

ISBN: 0821803824

Category: Mathematics

Page: 217

View: 3240

The field of research in collegiate mathematics education has grown rapidly over the past twenty-five years. Many people are convinced that improvement in mathematics education can only come with a greater understanding of what is involved when a student tries to learn mathematics and how pedagogy can be more directly related to the learning process. Today there is a substantial body of work and a growing group of researchers addressing both basic and applied issues of mathematics education at the collegiate level.This second volume in ""Research in Collegiate Mathematics Education"" begins with a paper that attends to methodology and closes with a list of questions. The lead-off paper describes a distinctive approach to research on key concepts in the undergraduate mathematics curriculum. This approach is distinguished from others in several ways, especially its integration of research and instruction. The papers in this volume exhibit a large diversity in methods and purposes, ranging from historical studies, to theoretical examinations of the role of gender in mathematics education, to practical evaluations of particular practices and circumstances. As in RCME I, this volume poses a list of questions to the reader related to undergraduate mathematics education. The eighteen questions were raised at the first Oberwolfach Conference in Undergraduate Mathematics Education, which was held in the fall of 1995, and are related to both research and curriculum.

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

Author: Keengwe, Jared

Publisher: IGI Global

ISBN: 1466696818

Category: Education

Page: 420

View: 9672

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: 1466649887

Category: Education

Page: 355

View: 7256

"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.

College Algebra: Concepts and Contexts

Author: James Stewart,Lothar Redlin,Saleem Watson,Phyllis Panman

Publisher: Cengage Learning

ISBN: 0495387894

Category: Mathematics

Page: 816

View: 7027

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.

Algebra für Dummies

Author: Mary Jane Sterling

Publisher: John Wiley & Sons

ISBN: 3527812504

Category: Mathematics

Page: 384

View: 6292

Algebra ist für viele Schüler ein notwendiges Übel. »Algebra für Dummies« hilft allen, die die Algebra der Oberstufe bestehen müssen. Das Buch ist außerdem für diejenigen ein treuer Begleiter, die die Algebra auffrischen müssen zum Beispiel vor Studienbeginn. Wem Brüche, Exponenten und Kurvendiskussionen die Haare zu Berge stehen lassen und Terme auch in Papierform den Schweiß auf die Stirn treiben, dem hilft dieses Buch auf einfache und humorvolle Art und Weise.

College Algebra with Modeling and Visualization Plus MyMathLab with Pearson EText -- Title-Specific Access Card Package

Author: Gary K. Rockswold

Publisher: Pearson

ISBN: 9780134763828

Category: Mathematics

Page: 896

View: 754

NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson''s MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson''s MyLab & Mastering products, you may also need a Course ID, which your instructor will provide. Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for Pearson''s MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. For courses in College Algebra. This package includes MyLab Math. Showing why math matters Gary Rockswold doesn''t just mention real-world examples; he teaches mathematical concepts through those applications. For example, if we look at Facebook usage over time, what might that tell us about linear growth and predictions? In this way, students learn the concepts in the context of the world they know, which leads to better understanding and retention. From there, the author shows a connection between application, modeling, and visualization. Rockswold is known for presenting the concept of a function as a unifying theme, with an emphasis on the rule of four (verbal, graphical, numerical, and symbolic representations). The 6th Edition emphasizes conceptual understanding with new in-chapter features and assignment options, while at the same time providing tools to empower instructors to make their classroom more active through collaboration and group work. Personalize learning with MyLab Math MyLab(tm) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The 6th Edition of College Algebra with Modeling & Visualization continues to expand the comprehensive auto-graded exercise options. The pre-existing exercises were carefully reviewed, vetted, and improved using aggregated student usage and performance data over time. In addition, MyLab Math includes new options to support conceptual learning, visualization, and student preparedness. NOTE: This package includes a MyLab Math access kit created specifically for Rockswold, College Algebra with Modeling & Visualization 6/e. This title-specific access kit provides access to the Rockswold, College Algebra with Modeling & Visualization 6/e accompanying MyLab course ONLY. 0134763823 / 9780134763828 College Algebra with Modeling & Visualization plus MyLab Math with eText -- Access Card Package, 6/e Package consists of: 0134418042 / 9780134418049 College Algebra with Modeling & Visualization 0134753321 / 9780134753324 MyLab Math with Pearson eText - Standalone Access Card - for College Algebra with Modeling & Visualization

College Algebra

A Functions Approach

Author: Mervin Laverne Keedy,Marvin L. Bittinger

Publisher: Addison Wesley Publishing Company

ISBN: 9780201038668

Category: Algebra

Page: 481

View: 1935

Lineare Algebra

Author: Gilbert Strang

Publisher: Springer-Verlag

ISBN: 3642556310

Category: Mathematics

Page: 656

View: 8792

Diese Einführung in die lineare Algebra bietet einen sehr anschaulichen Zugang zum Thema. Die englische Originalausgabe wurde rasch zum Standardwerk in den Anfängerkursen des Massachusetts Institute of Technology sowie in vielen anderen nordamerikanischen Universitäten. Auch hierzulande ist dieses Buch als Grundstudiumsvorlesung für alle Studenten hervorragend lesbar. Darüber hinaus gibt es neue Impulse in der Mathematikausbildung und folgt dem Trend hin zu Anwendungen und Interdisziplinarität. Inhaltlich umfasst das Werk die Grundkenntnisse und die wichtigsten Anwendungen der linearen Algebra und eignet sich hervorragend für Studierende der Ingenieurwissenschaften, Naturwissenschaften, Mathematik und Informatik, die einen modernen Zugang zum Einsatz der linearen Algebra suchen. Ganz klar liegt hierbei der Schwerpunkt auf den Anwendungen, ohne dabei die mathematische Strenge zu vernachlässigen. Im Buch wird die jeweils zugrundeliegende Theorie mit zahlreichen Beispielen aus der Elektrotechnik, der Informatik, der Physik, Biologie und den Wirtschaftswissenschaften direkt verknüpft. Zahlreiche Aufgaben mit Lösungen runden das Werk ab.

College Algebra with Modeling and Visualization

Author: Gary K. Rockswold

Publisher: Pearson

ISBN: 9780134418049

Category: Mathematics

Page: 848

View: 4704

For courses in College Algebra. This package includes MyMathLab � Showing why math matters Gary Rockswold doesn't just mention real-world examples; he teaches mathematical concepts through those applications. For example, if we look at Facebook usage over time, what might that tell us about linear growth and predictions? In this way, students learn the concepts in the context of the world they know, which leads to better understanding and retention. From there, the author shows a connection between application, modeling, and visualization. Rockswold is known for presenting the concept of a function as a unifying theme, with an emphasis on the rule of four (verbal, graphical, numerical, and symbolic representations). The 6th Edition emphasizes conceptual understanding with new in-chapter features and assignment options, while at the same time providing tools to empower instructors to make their classroom more active through collaboration and group work. Note: You are purchasing a standalone product; MyLab(tm)& Mastering(tm) does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab & Mastering, search for: 0134435583 / 9780134435589 College Algebra with Modeling & Visualization plus MyMathLab with eText -- Access Card Package, 6/e Package consists of: 0134418042 / 9780134418049 College Algebra with Modeling & Visualization 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker MyMathLab should only be purchased when required by an instructor.