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
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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
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Author : Philip R. Smith
language : en
Publisher:
Release Date : 1998
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 has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
The Processes Of Learning In A Computer Algebra System Cas Environment For College Students Learning Calculus
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Author : Michael Meagher
language : en
Publisher:
Release Date : 2005
The Processes Of Learning In A Computer Algebra System Cas Environment For College Students Learning Calculus written by Michael Meagher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Calculus categories.
Abstract: This study is a qualitative case study focusing on the question "What are the processes of learning in a Computer Algebra System (CAS) environment for college students learning calculus?" The study is designed to research the impact on student learning of new and revolutionary software available for mathematics education. Research in CAS has focused on outcome-based studies and more philosophical work on the curriculum and assessment implications of CAS. Missing are studies which look at what exactly happens when students try to learn mathematics in a CAS environment: What does CAS learning look like on a day-to-day basis? and What does CAS learning look like across the period of a ten-week course? The importance of investigating these processes lies in understanding the impact of CAS on learning so that an appropriate balance can be found in the integration of technology into teaching ensuring that the merits of traditional methods are not lost and that the merits and demerits of CAS use are fully understood. The primary data for the study consists of audio and video of tape of a group of students in a college course learning calculus using CAS software. This data was supplemented by interviews with the students as well as analysis of the students' homework and tests. Analysis of the data via Rotman Model of Mathematical Understanding provides a lens through which to view the place of technology in the CAS classroom and through which to view the journey of each student across the quarter. The Pirie-Kieren Model for the Growth of Mathematical Understanding is then mobilised as a lens through which to examine specific learning episodes as they occur in the classroom. As well as providing examples of student learning, the broader conclusions of the study are (i) that the framing and introduction of technology at the beginning of an instruction period impacts crucially on student behaviour and use of technology throughout that period and (ii) that while students will naturally experiment in a CAS environment intervention is probably required for them to develop sophistication in their experimental behaviour and strategies.
Evaluating The Effects On Conceptual Understanding And Achievement Of Enhancing An Introductory Calculus Course With A Computer Algebra System
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Author : Laurel A. Cooley
language : en
Publisher:
Release Date : 1995
Evaluating The Effects On Conceptual Understanding And Achievement Of Enhancing An Introductory Calculus Course With A Computer Algebra System written by Laurel A. Cooley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Exploring Mathematics With Cas Assistance
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Author : Lydia S. Novozhilova
language : en
Publisher: American Mathematical Society
Release Date : 2022-11-08
Exploring Mathematics With Cas Assistance written by Lydia S. Novozhilova and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-08 with Mathematics categories.
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. Here is a possible addition to the book description about this new information: The code templates for the labs from the book are now available on the github, an AI-powered developer platform for sharing codes. A user can find the Jupyter Notebooks with the labs in the repository https://github.com/LidaUrazhdina/LabTemplates_for_Math_with_CAS . Here is a possible addition to the book description about this new information: The code templates for the labs from the book are now available on the github, an AI-powered developer platform for sharing codes. A user can find the Jupyter Notebooks with the labs in the repository: https://github.com/LidaUrazhdina/LabTemplates_for_Math_with_CAS .
Integrating Computer Algebra Systems As An Instructional Aid In An Introductory Differential Calculus Course
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Author : Tapan Kumar Tiwari
language : en
Publisher:
Release Date : 1999
Integrating Computer Algebra Systems As An Instructional Aid In An Introductory Differential Calculus Course written by Tapan Kumar Tiwari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Algebra categories.
Implementation Of A Computer Algebra System In The Calculus Classroom
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Author : William Leonard (Jr.)
language : en
Publisher:
Release Date : 2000
Implementation Of A Computer Algebra System In The Calculus Classroom written by William Leonard (Jr.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Algebra categories.
An Investigation Into And Use Of A Computer Algebra System For The Teaching Of Introductory School Calculus
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Author : Osmond Monde Mbekwa
language : en
Publisher:
Release Date : 1995
An Investigation Into And Use Of A Computer Algebra System For The Teaching Of Introductory School Calculus written by Osmond Monde Mbekwa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Maple Via Calculus
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Author : Robert J. Lopez
language : en
Publisher: Birkhäuser
Release Date : 2012-01-30
Maple Via Calculus written by Robert J. Lopez and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-30 with Computers categories.
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.
The Effects Of A Calculus Course Based On The Computer Algebra System Mathematica On Subsequent Calculus Dependent Undergraduate Course Performance
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Author : Alfonso Bustamante Arias
language : en
Publisher:
Release Date : 1991
The Effects Of A Calculus Course Based On The Computer Algebra System Mathematica On Subsequent Calculus Dependent Undergraduate Course Performance written by Alfonso Bustamante Arias and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Effects Of The Use Of A Computer Algebra System Cas On Junior College Students Achievement In Mathematics And Their Attitudes Towards Cas
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Author : Daniel Yee Dat Sun
language : en
Publisher:
Release Date : 2008
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 has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Algebra categories.