Download or read book Descriptions and Definitions in the Teaching of Elementary Calculus written by Victor Giraldo and published by . This book was released on 2003 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we discuss the (potentially positive) pedagogical role of intrinsic limitations of computational descriptions for mathematical concepts, with special focus on the concept of derivative. Our claim is that, in a suitable approach, those limitations can act for the enrichment of learners' concept images. We report a case study with a first year undergraduate student and place this in a broader empirical and theoretical context. (Contains 6 figures.) [For complete proceedings, see ED500859.].
Download or read book Teaching and Learning of Calculus written by David Bressoud and published by Springer. This book was released on 2016-06-14 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Download or read book The Teaching of Elementary Calculus written by Kathleen Anne Sullivan and published by . This book was released on 1974 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementary Calculus written by H. Jerome Keisler and published by Orange Groove Books. This book was released on 2009-09-01 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Place of the Elementary Calculus in the Senior High school Mathematics written by Noah Bryan Rosenberger and published by . This book was released on 1921 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Humans with Media and the Reorganization of Mathematical Thinking written by Marcelo C. Borba and published by Springer Science & Business Media. This book was released on 2005-03-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Discussion focuses on how computers, writing and oral discourse transform education at an epistemological as well as a political level. Building on examples, research and theory, the authors propose that knowledge is not constructed solely by humans, but by collectives of humans and technologies of intelligence.
Download or read book Elementary Calculus written by Milton Brockett Porter and published by . This book was released on 1925 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Learning and Teaching of Calculus written by John Monaghan and published by Routledge. This book was released on 2023-09-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for people who teach calculus - and especially for people who teach student teachers, who will in turn teach calculus. The calculus considered is elementary calculus of a single variable. The book interweaves ideas for teaching with calculus content and provides a reader-friendly overview of research on learning and teaching calculus along with questions on educational and mathematical discussion topics. Written by a group of international authors with extensive experience in teaching, and research on learning/teaching, calculus both at the school and university levels, the book offers a variety of approaches to the teaching of calculus so that you can decide the approach for you. Topics covered include: - A history of calculus and how calculus differs over countries today, - Making sense of limits and continuity, differentiation, integration and the Fundamental theorem of calculus (chapters on these areas form the bulk of the book), - The ordering of calculus concepts (should limits come first?), - Applications of calculus (including differential equations). The final chapter looks beyond elementary calculus. Recurring themes across chapters include: whether to take a limit or a differential/infinitesimal approach to calculus; and the use of digital technology in the learning and teaching of calculus. This book is essential reading for mathematics teacher trainers everywhere.
Download or read book Calculus Manual 1 Function Definitions for Students written by E. E. Engstrom and published by E.E. Engstrom. This book was released on 2003 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This award-nominated calculus manual, "eye candy for calculus students" includes three chapters (with calculator computations). Chapter One: functions, limits and rates of change; functions; function limits; strategy to use tangent lines to parabolas as slope predictors. Chapter Two: derivatives, derivative chain rule, derivative as rates of change, trig functions, derivatives of exponential and logarithmic functions, differentials, approximations, linear/quadratic, linear approximations, applications, derivatives: graphing/curve sketching, antiderivatives. Chapter Three: integral calculus, indefinite integrals, fundamental theorem of integral calculus, integration numerical.
Download or read book Report written by and published by . This book was released on 2006 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Single Variable Calculus written by James Stewart and published by Thomson Brooks/Cole. This book was released on 2009-05-29 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stewart's CALCULUS: CONCEPTS AND CONTEXTS,4e, INTERNATIONAL METRIC EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS, INTERNATIONAL METRIC EDITION is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
Download or read book The Learning and Teaching of Calculus written by John Monaghan and published by Taylor & Francis. This book was released on 2023-09-05 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for people who teach calculus – and especially for people who teach student teachers, who will in turn teach calculus. The calculus considered is elementary calculus of a single variable. The book interweaves ideas for teaching with calculus content and provides a reader-friendly overview of research on learning and teaching calculus along with questions on educational and mathematical discussion topics. Written by a group of international authors with extensive experience in teaching and research on learning/teaching calculus both at the school and university levels, the book offers a variety of approaches to the teaching of calculus so that you can decide the approach for you. Topics covered include A history of calculus and how calculus differs over countries today Making sense of limits and continuity, differentiation, integration and the fundamental theorem of calculus (chapters on these areas form the bulk of the book) The ordering of calculus concepts (should limits come first?) Applications of calculus (including differential equations) The final chapter looks beyond elementary calculus. Recurring themes across chapters include whether to take a limit or a differential/infinitesimal approach to calculus and the use of digital technology in the learning and teaching of calculus. This book is essential reading for mathematics teacher trainers everywhere.
Download or read book Elementary Calculus written by P.R.. Masani and published by . This book was released on 1960 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis with Ultrasmall Numbers written by Karel Hrbacek and published by CRC Press. This book was released on 2014-12-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon–delta methods. Students can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum or compactness. The book is suitable for a calculus course at the undergraduate or high school level or for self-study with an emphasis on nonstandard methods. The first part of the text offers material for an elementary calculus course while the second part covers more advanced calculus topics. The text provides straightforward definitions of basic concepts, enabling students to form good intuition and actually prove things by themselves. It does not require any additional "black boxes" once the initial axioms have been presented. The text also includes numerous exercises throughout and at the end of each chapter.
Download or read book Elementary Calculus written by G. W. Caunt and published by Clarke Press. This book was released on 2012-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book MATH 221 FIRST Semester Calculus written by Sigurd Angenent and published by . This book was released on 2014-11-26 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATH 221 FIRST Semester CalculusBy Sigurd Angenent
Download or read book Learning and Understanding written by National Research Council and published by National Academies Press. This book was released on 2002-08-06 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.
