Download or read book First Year Calculus An Inquiry Based Learning Approach written by Clement Falbo and published by . This book was released on 2023-04-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author's Description: Dr.Clement E. Falbo is a mathematics Professor Emeritus at Sonoma State University, where he taught for 35 years. He is the author of several journal articles in mathematics, including the widely read "The Golden Ratio-A Contrary Viewpoint" in the College Mathematics Journal (2005). His article,"Almost Goldbach Theorems" in The Mathematical Gazette (2021) is also popular. In addition to this calculus book, he has written three other books on mathematics, "Finite Mathematics, Applied", Wadsworth (1977), "Math Odyssey 2000", Stipes publishing (1994), and "Mathematical Milestones", Reading Glass Books (2023). In 1999 he and his wife Jean Ann Falbo, a biologist, served in the U.S. Peace Corps in the African nation of Zimbabwe. Together, they taught African High school students mathematics and science. He has three sons, six grandchildren and five great grandchildren.

Download or read book First Year Calculus as Taught by R L Moore An Inquiry Based Learning Approach written by Clement E. Falbo and published by Dorrance Publishing. This book was released on 2010-10 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: "First-Year Calculus as Taught by R.L. Moore is intended to facilitate student learning through IBL, or Inquiry-Based Learning, the essence of the Moore Method. Based on notes taken by the author while studying with R.L. Moore in 1955, this text incorporates the pedagogical teaching of mathematics implemented by Dr. Moore using his own collection of seminal 'problems that teach.' Designed to stimulate creativity and encourage student presentations of their solutions in the classroom, the intention is to minimize lectures by the instructor and to maximize student participation in the learning process."--Publisher's website.

Download or read book First Year Calculus written by Clement E. Falbo and published by . This book was released on 2019-09-03 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We own the Calculus." This was a sentiment proclaimed by students who took calculus at the University of Texas as it was taught by Professor R. L. Moore. This book captures the method which facilitates the teaching of students through Inquiry-Based Learning (IBL). It is based on notes taken by the author as a student of Dr. Moore at the University of Texas, Austin, in 1955. It includes Dr. Moore's collection of seminal "problems that teach" -- designed to stimulate creativity and encourage student presentations of their solutions in the classroom. The intention of IBL is to minimize or even eliminate lectures by the instructor and to maximize student participation in the learning process. In the classes taught this way, the students take charge and compete to show their classmates how they solved the problems. The great American mathematician Paul Halmos, says: "The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic or Texas Method." Through the last five or so decades, it has evolved into what is now known as IBL and is being promoted, not only at Texas but through regular classes, summer projects, and workshops at several U. S. Colleges and universities, such as California Polytechnic at San Luis Obispo, University of Nebraska, U.S. Naval Academy, University of Chicago, and other places.

Download or read book Practice Oriented Research in Tertiary Mathematics Education written by Rolf Biehler and published by Springer Nature. This book was released on 2023-01-01 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents a broad range of original practice-oriented research studies about tertiary mathematics education. These are based on current theoretical frameworks and on established and innovative empirical research methods. It provides a relevant overview of current research, along with being a valuable resource for researchers in tertiary mathematics education, including novices in the field. Its practice orientation research makes it attractive to university mathematics teachers interested in getting access to current ideas and results, including theory-based and empirically evaluated teaching and learning innovations. The content of the book is spread over 5 sections: The secondary-tertiary transition; University students' mathematical practices and mathematical inquiry; Research on teaching and curriculum design; University students’ mathematical inquiry and Mathematics for non-specialists.

Download or read book First Year Calculus written by Clement E. Falbo and published by . This book was released on 2019-09-14 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We own the Calculus." This was a sentiment proclaimed by students who took calculus at the University of Texas as it was taught by Professor R. L. Moore. This book captures the method which facilitates the teaching of students through Inquiry-Based Learning (IBL). It is based on notes taken by the author as a student of Dr. Moore at the University of Texas, Austin, in 1955. It includes Dr. Moore's collection of seminal "problems that teach" -- designed to stimulate creativity and encourage student presentations of their solutions in the classroom. The intention of IBL is to minimize or even eliminate lectures by the instructor and to maximize student participation in the learning process. In the classes taught this way, the students take charge and compete to show their classmates how they solved the problems. The great American mathematician Paul Halmos, says: "The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic or Texas Method." Through the last five or so decades, it has evolved into what is now known as IBL and is being promoted, not only at Texas but through regular classes, summer projects, and workshops at several U. S. Colleges and universities, such as California Polytechnic at San Luis Obispo, University of Nebraska, U.S. Naval Academy, University of Chicago, and other places.

Download or read book Number Theory Through Inquiry written by David C. Marshall and published by American Mathematical Soc.. This book was released on 2020-08-21 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory Through Inquiry is an innovative textbook that leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. One goal is to help students develop mathematical thinking skills, particularly, theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for an independent study experience, or for a course designed as an introduction to abstract mathematics. Math or related majors, future teachers, and students or adults interested in exploring mathematical ideas on their own will enjoy Number Theory Through Inquiry. Number theory is the perfect topic for an introduction-to-proofs course. Every college student is familiar with basic properties of numbers, and yet the exploration of those familiar numbers leads us to a rich landscape of ideas. Number Theory Through Inquiry contains a carefully arranged sequence of challenges that lead students to discover ideas about numbers and to discover methods of proof on their own. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors' materials explain the instructional method. This style of instruction gives students a totally different experience compared to a standard lecture course. Here is the effect of this experience: Students learn to think independently: they learn to depend on their own reasoning to determine right from wrong; and they develop the central, important ideas of introductory number theory on their own. From that experience, they learn that they can personally create important ideas, and they develop an attitude of personal reliance and a sense that they can think effectively about difficult problems. These goals are fundamental to the educational enterprise within and beyond mathematics.

Download or read book Speaking Human written by Adrienne Fergessen and published by Xlibris Corporation. This book was released on 2017-08-25 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: The true story of an undiagnosed autistic savant who learned to mimic human behaviour while being abused by both teachers and students alike; ultimately and wrongly arrested as a Jewish spy in Arab lands amongst other misadventures, until succumbing to a suicide-induced comaonly to meet the woman who would transform him into the CEO of a multimillion dollar company which would eventually lead him to the ultimate tragedy. . .

Download or read book The Impact of the 4th Industrial Revolution on Engineering Education written by Michael E. Auer and published by Springer Nature. This book was released on 2020-03-17 with total page 977 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers papers presented at the 22nd International Conference on Interactive Collaborative Learning (ICL2019), which was held in Bangkok, Thailand, from 25 to 27 September 2019. Covering various fields of interactive and collaborative learning, new learning models and applications, research in engineering pedagogy and project-based learning, the contributions focus on innovative ways in which higher education can respond to the real-world challenges related to the current transformation in the development of education. Since it was established, in 1998, the ICL conference has been devoted to new approaches in learning with a focus on collaborative learning. Today, it is a forum for sharing trends and research findings as well as presenting practical experiences in learning and engineering pedagogy. The book appeals to policymakers, academics, educators, researchers in pedagogy and learning theory, school teachers, and other professionals in the learning industry, and further and continuing education.

Download or read book The Brilliance of Black Children in Mathematics written by Jacqueline Leonard and published by IAP. This book was released on 2013-03-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a critically important contribution to the work underway to transform schooling for students who have historically been denied access to a quality education, specifically African American children. The first section of the book provides some historical perspective critical to understanding the current state of education in the U.S., specifically for the education of African American children. The following sections include chapters on policy, learning, ethnomathematics, student identity, and teacher preparation as it relates to the mathematical education of Black children. Through offering “counternarratives” about mathematically successful Black youth, advocating for a curriculum that is grounded in African American culture and ways of thinking, providing shining examples of the brilliance of Blacks students, and promoting high expectations for all rather than situating students as the problem, the authors of this book provide powerful insights related to the teaching and learning of mathematics for African American students. As is made evident in this book, effective teaching involves much more than just engaging students in inquiry-based pedagogy (Kitchen, 2003). The chapters offered in this book demonstrate how mathematics instruction for African American students needs to take into account historical marginalization and present-day policies that do harm to Black students (Kunjufu, 2005). Empowering mathematics instruction for African American students needs to take into consideration and promote students’ cultural, spiritual, and historical identities. Furthermore, mathematics instruction for African American students should create opportunities for students to express themselves and the needs of their communities as a means to promote social justice both within their classrooms and communities.

Download or read book Calculus I written by The Pogil Project and published by . This book was released on 1753 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Project Based Learning in the Math Classroom written by Chris Fancher and published by Routledge. This book was released on 2021-10-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project-Based Learning in the Math Classroom explains how to keep inquiry at the heart of mathematics teaching and helps teachers build students' abilities to be true mathematicians. This book outlines basic teaching strategies, such as questioning and exploration of concepts. It also provides advanced strategies for teachers who are already implementing inquiry-based methods. Project-Based Learning in the Math Classroom includes practical advice about strategies the authors have used in their own classrooms, and each chapter features strategies that can be implemented immediately. Teaching in a project-based environment means using great teaching practices. The authors impart strategies that assist teachers in planning standards-based lessons, encouraging wonder and curiosity, providing a safe environment where failure occurs, and giving students opportunities for revision and reflection. Grades 6-10

Download or read book I Want to Be a Mathematician An Automathography written by Paul R. Halmos and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Radical Solutions for Education in a Crisis Context written by Daniel Burgos and published by Springer Nature. This book was released on 2020-12-21 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents how to keep working on education in contexts of crisis, such as emergencies, zones of conflict, wars and health pandemics such as COVID-19. Specifically, this work shows a number of strategies to support global learning and teaching in online settings. Particularly, it first presents how to facilitate knowledge sharing and raising awareness about a specific crisis, to increase people’s safety, including educators and learners. The book then discusses various techniques, mechanisms and services that could be implemented to provide effective learning support for learners, especially in learning environments that they do not daily use, such as physical classrooms. Further, the work presents how to teach and support online educators, no matter if they are school teachers, university lecturers, youth social workers, vocational training facilitators or of any other kind. Finally, it describes worldwide case studies that have applied practical steps to keep education running during a crisis. This book provides readers with insights and guidelines on how to maintain learning undisrupted during contexts of crisis. It also provides basic and practical recommendations to the various stakeholders in educational contexts (students, content providers, technology services, policy makers, school teachers, university lecturers, academic managers, and others) about flexible, personalised and effective education in the context of crisis.

Download or read book Research and Development in University Mathematics Education written by Viviane Durand-Guerrier and published by Routledge. This book was released on 2021-04-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Download or read book Team Based Learning written by Larry K. Michaelsen and published by Taylor & Francis. This book was released on 2023-07-03 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes team-based learning (TBL), an unusually powerful and versatile teaching strategy that enables teachers to take small group learning to a whole new level of effectiveness. It is the only pedagogical use of small groups that is based on a recognition of the critical difference between "groups" and "teams", and intentionally employs specific procedures to transform newly-formed groups into high performance learning teams.This book is a complete guide to implementing TBL in a way that will promote the deep learning all teachers strive for. This is a teaching strategy that promotes critical thinking, collaboration, mastery of discipline knowledge, and the ability to apply it.Part I covers the basics, beginning with an analysis of the relative merits and limitations of small groups and teams. It then sets out the processes, with much practical advice, for transforming small groups into cohesive teams, for creating effective assignments and thinking through the implications of team-based learning.In Part II teachers from disciplines as varied as accounting, biology, business, ecology, chemistry, health education and law describe their use of team-based learning. They also demonstrate how this teaching strategy can be applied equally effectively in environments such as large classes, mixed traditional and on-line classes, and with highly diverse student populations.Part III offers a synopsis of the major lessons to be learned from the experiences of the teachers who have used TBL, as described in Part II. For teachers contemplating the use of TBL, this section provides answers to key questions, e.g., whether to use team-based learning, what it takes to make it work effectively, and what benefits one can expect from it–for the teacher as well as for the learners.The appendices answer frequently asked questions, include useful forms and exercises, and offer advice on peer evaluations and grading. A related Web site that allows readers to “continue the conversation,” view video material, access indexed descriptions of applications in various disciplines and post questions further enriches the book. The editors’ claim that team-based instruction can transform the quality of student learning is fully supported by the empirical evidence and examples they present. An important book for all teachers in higher education.

Download or read book Topology Through Inquiry written by Michael Starbird and published by American Mathematical Soc.. This book was released on 2020-09-10 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.

Download or read book Inquiry Based Enumerative Combinatorics written by T. Kyle Petersen and published by Springer. This book was released on 2019-06-28 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embracing Inquiry-Based Learning (IBL) techniques. Readers are provided with a carefully chosen progression of theorems to prove and problems to actively solve. Students will feel a sense of accomplishment as their collective inquiry traces a path from the basics to important generating function techniques. Beginning with an exploration of permutations and combinations that culminates in the Binomial Theorem, the text goes on to guide the study of ordinary and exponential generating functions. These tools underpin the in-depth study of Eulerian, Catalan, and Narayana numbers that follows, and a selection of advanced topics that includes applications to probability and number theory. Throughout, the theory unfolds via over 150 carefully selected problems for students to solve, many of which connect to state-of-the-art research. Inquiry-Based Enumerative Combinatorics is ideal for lower-division undergraduate students majoring in math or computer science, as there are no formal mathematics prerequisites. Because it includes many connections to recent research, students of any level who are interested in combinatorics will also find this a valuable resource.