Download or read book Student Understanding of Function and Success in Calculus written by Daniel I. Drlik and published by . This book was released on 2015 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The purpose of this study was to determine if there is a relationship between student success in calculus and student understanding of function. Student understanding of function was measured using two questionnaires, one of which is a modification of an existing measure based on APOS theory. The other I developed with items from the concept image literature. The participants of this study were 116 high school students who were enrolled in a first-year calculus course. The results of the questionnaires were aligned to course exam scores to determine connections between function understanding and rate of success in calculus. A major finding of this study is that students can be successful in a first-year calculus course without demonstrating a process level understanding of function at the beginning of the course. In general, a positive correlation between understanding of function and success in calculus was found. An item-by-item analysis of the two questionnaires revealed that students demonstrated competence, relative to their measured understanding of function, with items that are typically presented in standard mathematics courses taken prior to calculus, such as when provided a function as an algebraic rule and asked to calculate the value of the function. Also, students tended to justify decisions for solutions based on criteria not necessarily related to the definition of function. This however, appeared to have little impact on the level of success a student was able to achieve in calculus."--Boise State University ScholarWorks.
Download or read book Functions written by Cesar Gallo and published by . This book was released on 2020-10-27 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: All the Calculus concepts and their applications are based on functions. Most students who fail or find it very difficult to pass their calculus course are proved to have a poor understanding of the concept of function. It also involves a lack of the association between a function and its graph. These facts gave rise to the production of this text exclusively dedicated to the study of functions. The text aims at helping students overcome what would surely be a serious obstacle for them to succeed in their Calculus course. The content is presented in an easy way so that students can reach the essence of the concept. To achieve the same purpose, easy examples are given and explained in detail. A set of 566 exercises are proposed for the students so that they can practice what they have learned. An answer to each proposed exercise is also provided at the end of each chapter. Without a doubt, this text provides the students with the basis for succeeding in their study of Calculus.The book starts with a discussion on relations since functions are cases of relations. The second chapter deals with the definition of a function as a relation between sets of any type, including numerical ones. This chapter provides the foundations to focus on the study of functions of a real variable in the third chapter. These are the functions established between sets of real numbers and they constitute the building blocks of calculus. This chapter covers most of the book, as it constitutes its core. Special attention is given to the construction and use of graphs. Also, the real functions mostly used in calculus applications are studied in this chapter. The fourth chapter tackles arithmetic operations with real functions and based on them the determination of domains.The explanations are given by using an easy language accessible to all students regardless of their level of knowledge. Along with the explanations, very simple examples are presented, since the objective is to help the student understand the concepts and not make them appear as complicated topics only accessible to privileged minds. However, it is important to highlight that the students should be familiar with the symbols and the language used in propositional logic as well as having a basic knowledge of set theory. The students who are not familiar with these topics should then previously review textbooks that deal with these themes. By carefully reading the entire book without omitting any section and by doing all the exercises proposed, the students will get the knowledge on functions required to guarantee their success in their calculus courses. The author is both an engineer and an economist who graduated from the Central University of Venezuela. He also earned an MSc in Development Planning from the same university. Additionally, he earned an MSc in Economics from the Queen Mary College of the University of London, and a Ph.D. in Planning Studies from the University College London of the same university. He has been a visiting researcher at the London School of Economics, the University of Ottawa, and the University of Oxford. Dr. Gallo has more than thirty years of teaching experience in mathematics and he currently works as a Math tutor at the Houston Community College. He has also published several textbooks on both Mathematics and Econometrics.
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 Functions Modeling Change Textbook and Student Solutions Manual written by Eric Connally and published by John Wiley & Sons Incorporated. This book was released on 2003-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A text for a precalculus course for students who have completed a course in intermediate algebra or high school algebra II, concentrating on topics essential for success in calculus, with an emphasis on depth of understanding rather that breadth of coverage. Linear, exponential, power, and periodic functions are introduced first, then polynomial and rational functions, with each function represented symbolically, numerically, graphically, and verbally. Contains many worked examples and problems using real world data. Can be used with any technology for graphing functions. From the Calculus Consortium based at Harvard University, this comprehensible book prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas.
Download or read book Precalculus with Calculus Previews written by Dennis Zill and published by Jones & Bartlett Learning. This book was released on 2011-04-20 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building off the success of Zill and Dewar's popular Precalculus with Calculus Previews, Fourth Edition, the new Expanded Volume includes all the outstanding features and learning tools found in the original text while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added three additional chapters making the text a clear choice for many mainstream courses. New chapters include: Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses.
Download or read book How Students Learn written by National Research Council and published by National Academies Press. This book was released on 2005-01-28 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: How Students Learn: Science in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in science at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. This book discusses how to build straightforward science experiments into true understanding of scientific principles. It also features illustrated suggestions for classroom activities.
Download or read book Preparation for Calculus written by Bruce Crauder and published by Macmillan Higher Education. This book was released on 2022-01-20 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preparation for Calculus: Functions and How They Change equips students with the necessary skills and confidence to succeed in their current precalculus course and beyond as a calculus student. The authors have written a unique precalculus text for today’s students: focusing on challenges observed in the modern classroom, rather than retrofitting antiquated practices to fit the present-day student. Preparation for Calculus promotes the deep integration of digital resources with easy-to-understand textbook content to develop strong calculation skills and mathematical sophistication.
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.
Download or read book Student Solutions Manual to accompany Functions Modeling Change 6e written by Eric Connally and published by John Wiley & Sons. This book was released on 2019-10-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions Modeling Change, 6th edition prepares students for Calculus by stressing conceptual understanding and the connections among mathematical ideas. The authors emphasize depth of understanding rather than breadth of coverage. Each function is presented symbolically, numerically, graphically and verbally (the Rule of Four.) Students are encouraged to create mathematical models that relate to the world around them and are exposed to a large number of real-world applications, examples, and problems.
Download or read book Loose Leaf Version for Calculus Early Transcendental Functions written by Roland B Minton and published by McGraw-Hill Education. This book was released on 2011-01-05 with total page 1248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its 4th edition, Smith/Minton, Calculus: Early Transcendental Functions offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added to the exercise sets.
Download or read book Functions Modeling Change Student Study Guide written by Eric Connally and published by Wiley. This book was released on 2000-05-02 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Calculus Consortium based at Harvard University, this comprehensible book prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas.
Download or read book Precalculus with Calculus Previews written by Dennis G. Zill and published by Jones & Bartlett Publishers. This book was released on 2011-12-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building off the success of Zill and Dewar's popular Essentials of Precalculus with Calculus Previews, the new Fifth Edition continues to include all of the outstanding features and learning tools found in the original text while incorporating additional topics of coverage that some courses may require. With a continued effort to keep the text complete, yet concise, the authors have included four additional chapters making the text a clear choice for many mainstream courses. Additional chapters include a new chapter on Polar Coordinates, as well as Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, full-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the subtext of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses. New to the Fifth Edition: Includes a new Chapter 8, Polar Coordinates. A new appendix on Complex Numbers has been added. Available with a new graphing calculator manual, Exploring Mathematics: Solving Problems with the TI-84 Plus Graphing Calculator. Available with WebAssign Key Features: Vibrant full-color design illuminates key concepts and improves students' comprehension of graphs and figures. Translating Words into Functions section illustrates how to translate a verbal description into a symbolic representation of a function and demonstrates these translations with actual calculus problems. Chapter Review Exercises include problems that focus on algebra, graphing and function theory, the sub-text of so many calculus problems. Review questions include conceptual fill-in-the-blank and true-false questions, as well as numerous thought-provoking exercises. The Calculus Preview found at the end of each chapter offers students a glimpse of a single calculus concept along with the algebraic, logarithmic, and trigonometric manipulations that are necessary for the successful completion of typical problems related to that concept.
Download or read book Calculus for the Utterly Confused written by Robert Oman and published by McGraw Hill Professional. This book was released on 1998-07-22 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: When it comes to understanding one of your most intimidating courses--calculus--even good students can be confused. Intended primarily for the non-engineering calculus student (though the more serious calculus student will also benefit), Calculus for the Utterly Confused is your ticket to success. Calculus concepts are explained and applied in such diverse fields as business, medicine, finance, economics, chemistry, sociology, physics, and health and environmental sciences. The message of Calculus for the Utterly Confused is simple: You donÕt have to be confused anymore. With the wealth of expert advice from the authors who have taught many, many confused students, youÕll discover a newer, fresher, clearer way to look at calculus. DonÕt wait another minute--get on the road to higher grades and greater confidence, and go from utterly confused to totally prepared in no time!
Download or read book Precalculus with Calculus Previews Expanded Volume written by Dennis G. Zill and published by Jones & Bartlett Publishers. This book was released on 2009-01-03 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building off the success of Zill and Dewar's popular Precalculus with Calculus Previews, Fourth Edition, the new Expanded Volume includes all the outstanding features and learning tools found in the original text while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added three additional chapters making the text a clear choice for many mainstream courses. New chapters include: Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses.
Download or read book Making the Connection written by Marilyn Paula Carlson and published by MAA. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.
Download or read book Functions Modeling Change Student Study Guide written by Eric Connally and published by John Wiley & Sons Incorporated. This book was released on 2003-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new edition of the precalculus text developed by the Consortium based at Harvard University and funded by a National Science Foundation Grant. The text is thought-provoking for well-prepared students while still accessible to students with weaker backgrounds. It provides numerical and graphical approaches as well as algebraic approaches to give students another way of mastering the material. This approach encourages students to persist, thereby lowering failure rates. A large number of real-world examples and problems enable students to create mathematical models that will help them understand the world in which they live. The focus is on those topics that are essential to the study of calculus and these topics are treated in depth. Linear, exponential, power, and periodic functions are introduced before polynomial and rational functions to take advantage of their use to model physical phenomena. Building on the Consortium's Rule of Four: Each function is represented symbolically, numerically, graphically, and verbally where appropriate.
Download or read book Calculus written by and published by Jones & Bartlett Publishers. This book was released on with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt:
