Download or read book The Effects of a Computer Algebra System mediated Instructional Approach in an Introductory Calculus Course Toward a Theory of CAS Use in the Calculus Classroom written by Philip R. Smith and published by . This book was released on 1998 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Research on the Psychology of Mathematics Education written by Angel Gutiérrez and published by Sense Publishers. This book was released on 2006 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.
Download or read book Exploring Mathematics with CAS Assistance written by Lydia S. Novozhilova and published by American Mathematical Society. This book was released on 2022-11-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Mathematics with CAS Assistance is designed as a textbook for an innovative mathematics major course in using a computer-algebra system (CAS) to investigate, explore, and apply mathematical ideas and techniques in problem solving. The book is designed modularly with student investigations and projects in number theory, geometry, algebra, single-variable calculus, and probability. The goal is to provoke an inquiry mindset in students and to arm them with the CAS tools to investigate low-entry, open-ended questions in a variety of mathematical arenas. Because of the modular design, the individual chapters could also be used selectively to design student projects in a number of upper-division mathematics courses. These projects could, in fact, lead into undergraduate research projects. The existence of powerful computer-algebra systems has changed the way mathematicians perform research; this book enables instructors to put some of those new methods and approaches into their undergraduate instruction. Prerequisites include a basic working knowledge of discrete mathematics and single-variable calculus. Programming experience and some basic familiarity with elementary probability and statistics are beneficial but not required. The book takes a software-agnostic approach and emphasizes algorithmic structure of solution methods by systematically providing their step-by-step verbal descriptions or suitable pseudocode that can be implemented in any CAS.
Download or read book Integrating Computer Algebra Systems as an Instructional Aid in an Introductory Differential Calculus Course written by Tapan Kumar Tiwari and published by . This book was released on 1999 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computers and Mathematics written by David Alexander Smith and published by MAA Press. This book was released on 1988 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Maple Via Calculus written by Robert J. Lopez and published by . This book was released on 1994-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern software tools like Maple have the potential to alter radically the way mathematics is taught, learned, and done. Bringing such tools into the classroom during lectures, assignments, and examinations means that new ways oflooking at mathematics can becomepermanent fixtures ofthe curriculum. It is universal access that will make a software-based approach to mathematics become the norm. In 1988, with NSF funding under an III grant, I had the opportunity to bring Maple into the calculus classroom at Rose-Hulman Institute of Technology. Since then a new curriculum based on the availability ofcomputer algebra systems has evolved at RHIT and in my own courses. This volume contains a record of some of the insights gained into pedagogy using Maple in calculus. The activities and ideas captured in these Maple worksheets reflect concepts in calculus imple mented in Maple. There is an overt message to the reader that carries with it a side effect. However, it is possible that for one reader the side effect is the message and the message is the side effect I had intended to put before my audience examples extracted from my Maple based curriculum to entice a wider acceptance ofthe benefits of making a computer algebra system become the basis of a revised calculus syllabus. By examples I had hoped to demonstrate the "rightness" of using software tools for teaching and learning calculus."
Download or read book Computer Algebra Systems in Secondary School Mathematics Education written by James Taylor Fey and published by National Council of Teachers of English. This book was released on 2003 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Implementation of a Computer Algebra System in the Calculus Classroom written by William Leonard (Jr.) and published by . This book was released on 2000 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Effects on Student Achievement and Attitudes of Incorporating a Computer Algebra System Into a Remedial College Mathematics Course written by Beth Greene Costner and published by . This book was released on 2002 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: The current study examined the effects of using a computer algebra system (CAS) and graphing utility on the achievement and attitudes of students in remedial college mathematics. The participants were enrolled in night sections of a basic algebra course and were identified for remedial work by a placement examination. Students came from various mathematical backgrounds, but all had experienced a cycle of mathematical failure that needed to be broken.
Download or read book Effects of the Use of a Computer Algebra System CAS on Junior College Students Achievement in Mathematics and Their Attitudes Towards CAS written by Daniel Yee Dat Sun and published by . This book was released on 2008 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus for a New Century written by Lynn Arthur Steen and published by MAA Press. This book was released on 1988 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document, intended as a resource for calculus reform, contains 75 separate contributions, comprising a very diverse set of opinions about the shape of calculus for a new century. The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory, yet disagree about new content emphases. They agree that the neglect of teaching must be repaired, but do not agree on the most promising avenues for improvement. The document contains: (1) a record of presentations prepared for a colloquium; (2) a collage of reactions to the colloquium by a variety of individuals representing diverse calculus constituencies; (3) summaries of 16 discussion groups that elaborate on particular themes of importance to reform efforts; (4) a series of background papers providing context for the calculus colloquium; (5) a selection of final examinations from Calculus I, II, and III from universities, colleges, and two-year colleges around the country; (6) a collection of reprints of documents related to calculus; and (7) a list of colloquium participants. (PK)
Download or read book Technology written by Alex Lazinica and published by IntechOpen. This book was released on 2009-10-01 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The widespread deployment and use of Information Technologies (IT) has paved the way for change in many fields of our societies. The Internet, mobile computing, social networks and many other advances in human communications have become essential to promote and boost education, technology and industry. On the education side, the new challenges related with the integration of IT technologies into all aspects of learning require revising the traditional educational paradigms that have prevailed for the last centuries. Additionally, the globalization of education and student mobility requirements are favoring a fluid interchange of tools, methodologies and evaluation strategies, which promote innovation at an accelerated pace. Curricular revisions are also taking place to achieved a more specialized education that is able to responds to the societys requirements in terms of professional training. In this process, guaranteeing quality has also become a critical issue. On the industrial and technological side, the focus on ecological developments is essential to achieve a sustainable degree of prosperity, and all efforts to promote greener societies are welcome. In this book we gather knowledge and experiences of different authors on all these topics, hoping to offer the reader a wider view of the revolution taking place within and without our educational centers. In summary, we believe that this book makes an important contribution to the fields of education and technology in these times of great change, offering a mean for experts in the different areas to share valuable experiences and points of view that we hope are enriching to the reader. Enjoy the book!
Download or read book Technology in Mathematics Teaching written by Gilles Aldon and published by Springer. This book was released on 2019-07-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises chapters featuring a state of the art of research on digital technology in mathematics education. The chapters are extended versions of a selection of papers from the Proceedings of the 13th International Conference on Technology in Mathematics Teaching (ICTMT-13), which was held in Lyon, France, from July 3rd to 6th. ICTMT-13 gathered together over one hundred participants from twenty countries sharing research and empirical results on the topical issues of technology and its potential to improve mathematics teaching and learning. The chapters are organised into 4 themed parts, namely assessment in mathematics education and technology, which was the main focus of the conference, innovative technology and approaches to mathematics education, teacher education and professional development toward the technology use, and mathematics teaching and learning experiences with technology. In 13 chapters contained in the book, prominent mathematics educators from all over the world present the most recent theoretical and practical advances on these themes This book is of particular interest to researchers, teachers, teacher educators and other actors interested in digital technology in mathematics education.
Download or read book Uses of Technology in Lower Secondary Mathematics Education written by Paul Drijvers and published by Springer. This book was released on 2016-06-14 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness; Digital assessment; and Communication and collaboration. The survey’s final section offers suggestions for future trends in technology-rich mathematics education and provides a research agenda reflecting those trends. Predicting what lower secondary mathematics education might look like in 2025 with respect to the role of digital tools in curricula, teaching and learning, it examines the question of how teachers can integrate physical and virtual experiences to promote a deeper understanding of mathematics. The issues and findings presented here provide an overview of current research and offer a glimpse into a potential future characterized by the effective integration of technology to support mathematics teaching and learning at the lower secondary level.
Download or read book Windows on Mathematical Meanings written by Richard Noss and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.
Download or read book The Use of Computer Algebra Systems in a Procedural Algebra Course to Facilitate a Framework for Procedural Understanding written by Jonathan Lee Harper and published by . This book was released on 2007 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyses of covariance and independent samples t-tests were used to compare treatment and control groups based on the quantitative measures. The treatment instructor and students were able to integrate CAS technology into the classroom without difficulty. The instructor implemented the curriculum with fidelity but the discourse in the classroom did not reach the desired level. No significant difference was found between treatment and control students on the skills-based final exam, indicating that the introduction of CAS did not diminish procedural skill levels. No difference in procedural understanding based on the Framework was observed. The data indicated that the students viewed mathematics as learning how to do procedures. This philosophy of mathematics and the limited classroom discourse impeded progress towards learning other aspects of the Framework. Recommendations include changing classroom norms to foster more discussion and placing more emphasis on Framework-based understanding in the assessment structure and course grade.
Download or read book The Effects of Writing to Learn Mathematics on Conceptual Understanding and Procedural Ability in Introductory College Calculus written by Mary Kathleen Porter and published by . This book was released on 1996 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initially, the primary goal of this study was to investigate the effects of writing to learn mathematics on the conceptual and procedural understanding of students in an introductory college calculus course. As the study began, an additional goal emerged: to develop a system for classifying students' errors in calculus that could be used to analyze the data in this study and future ones. To achieve these goals, the examinations of students in two sections of introductory calculus were studied. The instruction of the two groups was very similar: Both groups had the same instructor and were taught with a focus on the concepts of the course. However, in one group, students used writing activities; in the other, students used related activities that did not involve writing. The writing and nonwriting activities were similar in their focus and both groups of students discussed the activities in class. The only major difference between the two groups was that one group used writing to learn mathematics in their activities and the other group did not. Using the errors made by both groups on their examinations, a classification system for errors in calculus was developed, which had not previously been done. This classification system consisted of two procedural error categories and four conceptual error categories. Using this system, the errors of the students in the writing and comparison groups were categorized and the data were statistically analyzed for information about the students' conceptual and procedural understanding. No significant differences were found between the two groups in terms of their conceptual errors, nor for their procedural errors, which suggested that the writing activities did not have a different effect than the related nonwriting activities on students' conceptual and procedural understanding. If students who engage in nonwriting activities that focus on concepts and involve discussion can achieve the same level of conceptual and procedural understanding as students who use writing activities, then mathematics instructors have a viable alternative to using writing activities. This study indicated a need for further research into this matter.
