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Author : Dustin Jones
Publisher : Cognella Academic Publishing
Page : 128 pages
File Size : 53,7 Mb
Release : 2018-12-31
Category : Electronic
ISBN : 1516546423
Author : Dustin Jones
Publisher : Cognella Academic Publishing
Page : 128 pages
File Size : 41,8 Mb
Release : 2019-07-16
Category : Electronic
ISBN : 1516546458
Fundamentals of Calculus for Teachers helps readers connect the dots between key calculus concepts and the mathematics content taught in the middle grades, namely fourth through eighth grade in the United States. The text prepares future instructors to fully understand the mathematical content taught in lower and higher grades, build upon the knowledge their students will bring to the classroom, and prepare students for study of more advanced topics. The book focuses on broad concepts rather than detailed techniques. Over the course of five targeted chapters, students are introduced to key calculus concepts that relate to limits, derivatives, and integrals. Each chapter begins with a description of prerequisite knowledge and brief warmup exercises to prepare the reader for forthcoming content. Students are guided through a set of exercises that demonstrate the concepts in action, with distinct opportunities for input from their instructor and the use of technology (graphing calculators, spreadsheets, etc.) to encourage practical application. Designed to help students sharpen their conceptual knowledge of calculus concepts, Fundamentals of Calculus for Teachers is an ideal resource for courses that prepare future instructors to teach classes in middle-grades mathematics.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 43,9 Mb
Release : 2010
Category : Mathematics
ISBN : 0321619706
Author : Ed Wheeler,James Brawner
Publisher : Houghton Mifflin College Division
Page : 460 pages
File Size : 46,7 Mb
Release : 2004-01
Category : Mathematics
ISBN : 0618433929
Part of a new generation of textbooks for in-service and pre-service teachers at the junior-senior level, this text teaches in three main ways: it extends students' breadth of knowledge beyond, but related to, the topics covered in elementary and middle-grade curriculums; it increases prospective teachers' depth of mathematical understanding by providing problems rich in exploration and mathematical communication; and it models the most current ways of teaching mathematics.Many Section Openers begin with a motivating lesson that introduces a new topic in an understandable, real-world context.Exercise Sets at the end of every section provide more traditional practice and are labeled either Proof Exercises or Writing Exercises.Exploratory Exercises at the end of every section lead students to investigate topics outside the framework presented in the section. The final exercise in each section is a writing exercise.
Author : Anonim
Publisher : Unknown
Page : 748 pages
File Size : 49,7 Mb
Release : 2001
Category : Education
ISBN : CUB:U183034913764
Author : Mark Ryan
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 45,8 Mb
Release : 2016-05-18
Category : Mathematics
ISBN : 9781119297437
Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
Author : Patrick Thompson,Guershon Harel,Mike Thomas
Publisher : Unknown
Page : 204 pages
File Size : 50,9 Mb
Release : 2015-07-15
Category : Education
ISBN : 0415831075
The Teaching and Learning of Calculus offers a fresh perspective on the challenges and difficulties of effectively engaging students. The authors argue convincingly that many of the difficulties in learning calculus result from ways students understand, or fail to understand, fundamental mathematical concepts in primary and early secondary school and offer alternative ways of understanding and thinking about early mathematics concepts that have natural extensions to learning calculus. Areas covered include: - What is calculus? Foundational mathematical understandings Concepts of calculus, including limits and approximations, rate of change and accumulation Integration and implicit differentiation Teaching, learning and curriculum Throughout the text the authors show that teaching often fails because many calculus concepts are taught in a way that makes it difficult for students to connect ideas that they study in calculus with ideas that they already have--thus leading students to lean on memorization as a way to cope with instruction that makes little sense to them. This important book proposes new ways of thinking about the ideas of calculus that will guide maths researchers, teachers and teacher educators in rethinking maths instruction. The authors conclude by describing the ways in which many current practices in calculus curriculum and instruction are anathemas to high quality learning. They argue for a particular style of integrated active intellectual engagement that students must experience and important conceptual ideas with which students must engage if they are to build coherent, long lasting understandings of calculus that will support using it in other disciplines and supply a base for future mathematical learning. IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of advanced textbooks for teacher education which aims to advance the teaching of maths by integrating mathematics content teaching with the broader research and theoretical base of mathematics education.
Author : Bob Jones University Press
Publisher : Unknown
Page : 128 pages
File Size : 50,5 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 1579246540
Author : Merrill E. Shanks
Publisher : Unknown
Page : 612 pages
File Size : 53,9 Mb
Release : 1965
Category : Calculus
ISBN : OCLC:221977581
Author : Dennis Weltman,Gilbert Perez
Publisher : Brooks/Cole
Page : 824 pages
File Size : 41,8 Mb
Release : 1994
Category : Mathematics
ISBN : PSU:000025514636
Intended to prepare readers with low or no algebraic skills and math anxiety for credit-level mathematics courses, this book balances precise mathematics with an informal style.
Author : Asma Harcharras,Dorina Mitrea
Publisher : Prentice Hall
Page : 500 pages
File Size : 47,5 Mb
Release : 2007
Category : Mathematics
ISBN : UVA:X004898149
With challenging new standards-based middle school mathematics curricula now in place, future teachers need college-level mathematics instruction that better prepares them for their professional careers. Addresses the importance of learning calculus in preparation for the teaching of middle school mathematics, focusing on concepts and applications to illuminate the connections that exist between college-level calculus and the mathematics taught in today's middle schools. Examines the unique needs of future teachers in comparison to general calculus books. Initiates new topics with engaging discussion rather than the standard formula-proof-example approach. Stresses the interplay between geometry and calculus, and demonstrates the essential power of calculus for computing areas, lengths, surface areas, and volumes. For current or future mathematics teachers, or anyone interested in learning more about calculus.
Author : F. Joe Crosswhite
Publisher : Unknown
Page : 0 pages
File Size : 40,8 Mb
Release : 1988
Category : Mathematics
ISBN : 0675049792
Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
Page : 1610 pages
File Size : 50,8 Mb
Release : 1977
Category : Copyright
ISBN : STANFORD:36105119498546
Author : Ed Dubinsky,Keith Schwingendorf
Publisher : West Group
Page : 128 pages
File Size : 50,9 Mb
Release : 1992
Category : Mathematics
ISBN : 0314011307
Author : John Monaghan,Robert Ely,Márcia M F Pinto,Mike Thomas
Publisher : Routledge
Page : 0 pages
File Size : 49,8 Mb
Release : 2023-09-05
Category : Electronic
ISBN : 1032069724
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.