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 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 R L Moore written by John Parker and published by MAA. This book was released on 2005 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Publications of Robert Lee Moore"--P. 359-363.
Download or read book The Moore Method written by Charles Arthur Coppin and published by MAA. This book was released on 2009 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Moore method is a type of instruction used in advanced mathematics courses that moves away from a teacher-oriented experience to a learner-centered one. This book gives an overview of the Moore Method as practiced by the four authors. The authors outline six principles they all have as goals : elevating students from recipients to creators of knowledge; letting students discover the power of their minds; believing every student can and will do mathematics; allowing students to discover, present and debate mathematics; carefully matching problems and materials to the students; and having the material cover a significant body of knowledge. Topics include establishing a classroom culture, grading methods, materials development and more. Appendices include sample tests, notes and diaries of individual courses.
Download or read book A Century of Advancing Mathematics written by Paul Zorn and published by The Mathematical Association of America. This book was released on 2015-08-23 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh, and Bill Dunham; pedagogical discussion from Paul Zorn, Joe Gallian, and Michael Starbird, and cultural commentary from Bonnie Gold, Jon Borwein, and Steve Abbott. This volume contains 35 essays by all-star writers and expositors writing to celebrate an extraordinary century for mathematics-more mathematics has been created and published since 1915 than in all of previous recorded history. We've solved age-old mysteries, created entire new fields of study, and changed our conception of what mathematics is. Many of those stories are told in this volume as the contributors paint a portrait of the broad cultural sweep of mathematics during the MAA's first century. Mathematics is the most thrilling, the most human, area of intellectual inquiry; you will find in this volume compelling proof of that claim.
Download or read book Journal for Research in Mathematics Education written by and published by . This book was released on 2014 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 Teaching at Its Best written by Linda B. Nilson and published by John Wiley & Sons. This book was released on 2010-04-20 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching at Its Best This third edition of the best-selling handbook offers faculty at all levels an essential toolbox of hundreds of practical teaching techniques, formats, classroom activities, and exercises, all of which can be implemented immediately. This thoroughly revised edition includes the newest portrait of the Millennial student; current research from cognitive psychology; a focus on outcomes maps; the latest legal options on copyright issues; and how to best use new technology including wikis, blogs, podcasts, vodcasts, and clickers. Entirely new chapters include subjects such as matching teaching methods with learning outcomes, inquiry-guided learning, and using visuals to teach, and new sections address Felder and Silverman's Index of Learning Styles, SCALE-UP classrooms, multiple true-false test items, and much more. Praise for the Third Edition of Teaching at Its BestEveryone veterans as well as novices will profit from reading Teaching at Its Best, for it provides both theory and practical suggestions for handling all of the problems one encounters in teaching classes varying in size, ability, and motivation." Wilbert McKeachie, Department of Psychology, University of Michigan, and coauthor, McKeachie's Teaching TipsThis new edition of Dr. Nilson's book, with its completely updated material and several new topics, is an even more powerful collection of ideas and tools than the last. What a great resource, especially for beginning teachers but also for us veterans!" L. Dee Fink, author, Creating Significant Learning ExperiencesThis third edition of Teaching at Its Best is successful at weaving the latest research on teaching and learning into what was already a thorough exploration of each topic. New information on how we learn, how students develop, and innovations in instructional strategies complement the solid foundation established in the first two editions." Marilla D. Svinicki, Department of Psychology, The University of Texas, Austin, and coauthor, McKeachie's Teaching Tips
Download or read book Five Practices for Orchestrating Productive Mathematics Discussions written by Margaret Schwan Smith and published by . This book was released on 2011 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.
Download or read book A TeXas Style Introduction to Proof written by Ron Taylor and published by American Mathematical Soc.. This book was released on 2019-07-26 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: A TeXas Style Introduction to Proof is an IBL textbook designed for a one-semester course on proofs (the “bridge course”) that also introduces TeX as a tool students can use to communicate their work. As befitting “textless” text, the book is, as one reviewer characterized it, “minimal.” Written in an easy-going style, the exposition is just enough to support the activities, and it is clear, concise, and effective. The book is well organized and contains ample carefully selected exercises that are varied, interesting, and probing, without being discouragingly difficult.
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.
Download or read book Teaching and Learning STEM written by Richard M. Felder and published by John Wiley & Sons. This book was released on 2024-03-19 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The widely used STEM education book, updated Teaching and Learning STEM: A Practical Guide covers teaching and learning issues unique to teaching in the science, technology, engineering, and math (STEM) disciplines. Secondary and postsecondary instructors in STEM areas need to master specific skills, such as teaching problem-solving, which are not regularly addressed in other teaching and learning books. This book fills the gap, addressing, topics like learning objectives, course design, choosing a text, effective instruction, active learning, teaching with technology, and assessment—all from a STEM perspective. You’ll also gain the knowledge to implement learner-centered instruction, which has been shown to improve learning outcomes across disciplines. For this edition, chapters have been updated to reflect recent cognitive science and empirical educational research findings that inform STEM pedagogy. You’ll also find a new section on actively engaging students in synchronous and asynchronous online courses, and content has been substantially revised to reflect recent developments in instructional technology and online course development and delivery. Plan and deliver lessons that actively engage students—in person or online Assess students’ progress and help ensure retention of all concepts learned Help students develop skills in problem-solving, self-directed learning, critical thinking, teamwork, and communication Meet the learning needs of STEM students with diverse backgrounds and identities The strategies presented in Teaching and Learning STEM don’t require revolutionary time-intensive changes in your teaching, but rather a gradual integration of traditional and new methods. The result will be a marked improvement in your teaching and your students’ learning.
Download or read book Transformational Change Efforts Student Engagement in Mathematics through an Institutional Network for Active Learning written by Wendy M. Smith and published by American Mathematical Soc.. This book was released on 2021-05-05 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?
Download or read book The Survival of a Mathematician written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2009 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.
