Download or read book The Effect of Graphing Calculator Use and the Lesh Translation Model on Student Understanding of the Graphical Relationship Between Function and Derivative in a Nonrigorous Calculus Course written by Donald Patrick Kinney and published by . This book was released on 1997 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Effect of Emphasizing Multiple Representations on Calculus Student s Understanding of the Derivative Concept written by Sonja Lee Goerdt and published by . This book was released on 2007 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1997 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstracts of dissertations available on microfilm or as xerographic reproductions.
Download or read book The Effect of Graphing Calculators and A Three Core Representation Curriculum on College Students Learning of Exponential and Logarithmic Functions written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this study was to investigate the potential benefits of a multi-representational curriculum on studentsâ€TM understanding of and connections among graphical, tabular, and symbolic representations of algebraic concepts. The participants of the study were 113 college students enrolled in developmental college algebra at a southern university. This study utilized a quasi-experimental design in which instructors taught the course from a scripted algebraic perspective while the researcher taught the course from a functional approach simultaneously introducing multiple representations. The effect of a three-core representation curriculum on student success was assessed with a pretests and posttests of nine problems, with three representations; algebraic, graphical, and numerical. Also used were pretests and posttests of ten calculator knowledge questions. The problems were chosen because of their prevalence in most developmental college algebra curricula. The three-core representation curriculum was more successful in increasing student achievement. Students from the three-core representation curriculum scored significantly higher and were significantly more adept in using representational methods other than algebraic to solve the problem. This research showed that a multi-representational curriculum could be effective in expanding studentsâ€TM web of connected knowledge of algebraic and functional concepts.
Download or read book The Relationship Between Graphing Calculator Use and the Development of Classroom Norms in an Exemplay Teacher s College Algebra Course written by Sally Sue Gerren and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this study was to advance knowledge about the relationship between graphing calculator use and classroom norm development. An interpretive case study design incorporating qualitative and quantitative research methods was used to explore the question: What happens when an exemplary teacher uses graphing calculators in a college algebra class? The purposively selected participants were the teacher and eleven students of a Texas community college algebra course. All 29 classes of the 14-week spring 2006 semester were observed in their entirety by the researcher. The theoretical frameworks guiding the study were the affective representation system and the Multiple Representations Model of Learning and Teaching with the use of the Mathematics and Science Classroom Observation System for data collection, analysis, and profiling of classroom lessons. Originally developed for grades K-12, the use of the instrument was extended to college algebra. Triangulation of data sources using constant comparative and content analysis methods were used to support the three major findings: (1) The instructor's proactive orchestration of specialized instruction, support materials, and designed activities contributed to the establishment of graphing calculator use as an essential part of classroom norms and promoted students' independent use of the tool; (2) The dynamic and interactive features of the TI-84 Plus graphing calculator facilitated the delivery of instruction at high cognitive levels during student interactive activities providing access to, exploration of, and use of multiple representations for some mathematical concepts and solutions not easily attainable using traditional methods; and (3) Although the majority of students had never used a graphing calculator before the course, all students used the tool at appropriate times during instructional activities, self-reporting that their use of the calculator was generally beneficial for enhancing their understanding of lessons and supporting class interactions. Additionally, all students independently chose to use the calculator during major assessments and reported knowledgeable use of the tool to facilitate improved test performance. Replication of the study is limited because the norms developed in this case are unique to the teacher and students who negotiated their establishment. Suggestions are given regarding educational policies, reform practices, and research extensions.
Download or read book THE EFFECT OF GRAPHING CALCULATOR USE ON STUDENTS UNDERSTANDING OF VARIATIONS ON A FAMILY OF EQUATIONS AND THE TRANSFORMATIONS OF THEIR GRAPHS CALCULATORS written by CLAUDIA MARIE GIAMATI and published by . This book was released on 1990 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: element needed for students to develop conceptual links between graphs and equations. Students who initially had solidly formed conceptual links between graphs and equations benefitted from the use of the graphing calculator. Understanding of stretches and shrinks and translations was not aided by the use of these graphing calculators.
Download or read book The Effect of Using Graphing Calculators on Students Concept Images of the Derivative at a Point written by Derar Serhan and published by . This book was released on 2000 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Effects of Using Graphing Calculators with a Numerical Approach on Students Learning of Limits and Derivatives in an Applied Calculus Course at a Community College written by Arumugam Muhundan and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT: This study examined the effects of using graphing calculators with a numerical approach designed by the researcher on students learning of limits and derivatives in an Applied Calculus course at a community college. The purposes of this study were to investigate the following: (1) students achievement in solving limit problems (Skills, Concepts, and Applications) with a numerical approach compared to that of students who solved limit problems with a traditional approach (primarily an algebraic approach); and (2) students achievement in solving derivative problems (Skills, Concepts, and Applications) with a numerical approach compared to that of students who solved derivative problems with a traditional approach (primarily an algebraic approach).
Download or read book How the Graphing Calculator Affects the Conceptual and Procedural Understanding of the Derivative and the Integral written by Robert D. Farnsworth and published by . This book was released on 1998 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wandering Significance written by Mark Wilson and published by OUP Oxford. This book was released on 2006-01-05 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Wilson presents a highly original and broad-ranging investigation of the way we get to grips with the world conceptually, and the way that philosophical problems commonly arise from this. Words such as colour, shape, solidity exemplify the commonplace conceptual tools we employ to describe and order the world around us. But the world's goods are complex in their behaviors and we often overlook the subtle adjustments that our evaluative terms undergo as their usage becomes gradually adapted to different forms of supportive circumstance. Wilson not only explains how these surprising strategies of hidden management operate, but also tells the astonishing story of how faulty schemes and great metaphysical systems sometimes spring from a simple failure to recognize the innocent wanderings to which our descriptive words are heir. Wilson combines traditional philosophical concerns about human conceptual thinking with illuminating data derived from a large variety of fields including physics and applied mathematics, cognitive psychology, and linguistics. Wandering Significance offers abundant new insights and perspectives for philosophers of language, mind, and science, and will also reward the interest of psychologists, linguists, and anyone curious about the mysterious ways in which useful language obtains its practical applicability.
Download or read book Radical Constructivism in Mathematics Education written by E. Glasersfeld and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valéry The essays collected in this volume form a mosaik of theory, research, and practice directed at the task of spreading mathematical knowledge. They address questions raised by the recurrent observation that, all too frequently, the present ways and means of teaching mathematics generate in the student a lasting aversion against numbers, rather than an understanding of the useful and sometimes enchanting things one can do with them. Parents, teachers, and researchers in the field of education are well aware of this dismal situation, but their views about what causes the wide-spread failure and what steps should be taken to correct it have so far not come anywhere near a practicable consensus. The authors of the chapters in this book have all had extensive experience in teaching as well as in educational research. They approach the problems they have isolated from their own individual perspectives. Yet, they share both an overall goal and a specific fundamental conviction that characterized the efforts about which they write here. The common goal is to find a better way to teach mathematics. The common conviction is that knowledge cannot simply be transferred ready-made from parent to child or from teacher to student but has to be actively built up by each learner in his or her own mind.
Download or read book Learning from Computers Mathematics Education and Technology written by Christine Keitel-Kreidt and published by Springer. This book was released on 1993-11-30 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.
Download or read book Symbols Computation and Intentionality written by Steven Horst and published by Steven Horst. This book was released on 2011-09-09 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Combinatorics and Reasoning written by Carolyn A. Maher and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.
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 Statistical Mechanics of Charged Particles written by Radu Balescu and published by . This book was released on 1963 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History in Mathematics Education written by John Fauvel and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
