Download or read book Learning Mathematics Through Inquiry written by Raffaella Borasi and published by Heinemann Educational Publishers. This book was released on 1992 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the learning and teaching of mathematics in light of the recommendations set forth in the National Council of Teachers of Mathematic's standards.
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 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 Cases on Inquiry through Instructional Technology in Math and Science written by Lennex, Lesia and published by IGI Global. This book was released on 2012-01-31 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: There exists a wealth of information about inquiry and about science, technology, engineering, and mathematics (STEM), but current research lacks meaningfully written, thoughtful applications of both topics.Cases on Inquiry through Instructional Technology in Math and Science represents the work of many authors toward meaningful discourse of inquiry used in STEM teaching. This book presents insightful information to teachers and teacher education candidates about using inquiry in the real classroom, case studies from which research suggests appropriate uses, and tangible direction for creating their own inquiry based STEM activities. Sections take the reader logically through the meaning of inquiry in STEM teaching, how to use technology in modern classrooms, STEM projects which successfully integrate inquiry methodology, and inquiry problem solving within STEM classrooms with the aim of creating activities and models useful for real-world classrooms.
Download or read book Learning Mathematics Through Inquiry written by Raffaella Borasi and published by . This book was released on 1990* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Inquiry Strategies for Science and Mathematics Learning written by Denise Jarrett and published by . This book was released on 1997 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Strengths Based Teaching and Learning in Mathematics written by Beth McCord Kobett and published by Corwin. This book was released on 2020-02-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.
Download or read book Lines of Inquiry in Mathematical Modelling Research in Education written by Gloria Ann Stillman and published by Springer. This book was released on 2019-05-16 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the “balancing act” between developing students’ modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators
Download or read book Inquiry Based Learning for Science Technology Engineering and Math STEM Programs written by and published by Emerald Group Publishing. This book was released on 2015-10-20 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the many issues and concepts of how IBL can be applied to STEM programs and serves as a conceptual and practical resource and guide for educators and offers practical examples of IBL in action and diverse strategies on how to implement IBL in different contexts.
Download or read book Dive Into Inquiry written by Trevor MacKenzie and published by Edtechteam Press. This book was released on 2016-07-20 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Want to make learning more meaningful in your classroom? Looking to better prepare your students for the world of tomorrow? Keen to help learners create authentic connections to the world around them? Dive into Inquiry beautifully marries the voice and choice of inquiry with the structure and support required to optimise learning for students and get the results educators desire. With Dive into Inquiry you'll gain an understanding of how to best support your learners as they shift from a traditional learning model into the inquiry classroom where student agency is fostered and celebrated each and every day. This book strikes a perfect balance of meaningful pedagogy, touching narrative, helpful processes, original student examples, and rich how-to lesson plans all to get you going on bringing inquiry into your classroom. After reading this book educators will feel equipped to design their own inquiry units in a scaffolded manner that promote a gradual shift of control of learning from the teacher to the learner. Exploring student passions, curiosities, and interests and having these shape essential questions, units of study, and performance tasks are all covered in this powerful book. Learn to keep track of the many inquiry topics in your classroom and have students take ownership over their learning like never before! Trevor MacKenzie provides readers with a strong understanding of the Types of Student Inquiry and proposes a framework that best prepares both educators and learners for sharing the unpacking of curriculum in the classroom as they work together towards co-constructing a strong Free Inquiry unit. Helpful illustrations for in-class use, examples of essential questions from a variety of disciplines, practical goals for making progress in adopting inquiry into your practice, and powerful student learning on display throughout, Dive into Inquiry will energize, inspire, and transform your classroom!
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 Inquiry and the National Science Education Standards written by National Research Council and published by National Academies Press. This book was released on 2000-05-03 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Humans, especially children, are naturally curious. Yet, people often balk at the thought of learning scienceâ€"the "eyes glazed over" syndrome. Teachers may find teaching science a major challenge in an era when science ranges from the hardly imaginable quark to the distant, blazing quasar. Inquiry and the National Science Education Standards is the book that educators have been waiting forâ€"a practical guide to teaching inquiry and teaching through inquiry, as recommended by the National Science Education Standards. This will be an important resource for educators who must help school boards, parents, and teachers understand "why we can't teach the way we used to." "Inquiry" refers to the diverse ways in which scientists study the natural world and in which students grasp science knowledge and the methods by which that knowledge is produced. This book explains and illustrates how inquiry helps students learn science content, master how to do science, and understand the nature of science. This book explores the dimensions of teaching and learning science as inquiry for K-12 students across a range of science topics. Detailed examples help clarify when teachers should use the inquiry-based approach and how much structure, guidance, and coaching they should provide. The book dispels myths that may have discouraged educators from the inquiry-based approach and illuminates the subtle interplay between concepts, processes, and science as it is experienced in the classroom. Inquiry and the National Science Education Standards shows how to bring the standards to life, with features such as classroom vignettes exploring different kinds of inquiries for elementary, middle, and high school and Frequently Asked Questions for teachers, responding to common concerns such as obtaining teaching supplies. Turning to assessment, the committee discusses why assessment is important, looks at existing schemes and formats, and addresses how to involve students in assessing their own learning achievements. In addition, this book discusses administrative assistance, communication with parents, appropriate teacher evaluation, and other avenues to promoting and supporting this new teaching paradigm.
Download or read book Mindset Mathematics written by Jo Boaler and published by John Wiley & Sons. This book was released on 2017-08-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Download or read book Inquiry into Mathematics Teacher Education written by Fran Arbaugh and published by IAP. This book was released on 2015-10-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Orginally published in 2008) The 14 chapters in this monograph provide support for mathematics teacher educators in both their Practical Knowledge and their Professional Knowledge. Individually, these articles provide insights into advancing our thinking about professional development, teacher preparation, and program development. Collectively, they have the potential to help the field of mathematics teacher education move forward in framing effective practices in mathematics teacher education and developing a focused, cohesive research agenda. ATME's Monograph 5, therefore, is a superb resource for mathematics teacher education.
Download or read book Exploring Mathematics Through Play in the Early Childhood Classroom written by Amy Noelle Parks and published by Teachers College Press. This book was released on 2015-04-28 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed throughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking—such as perseverance and attention to precision. This book will help put play back into the early childhood classroom where it belongs. Book Features: Makes explicit connections to play and the Common Core State Standards in Mathematics. Offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play. Provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress. Includes highlight boxes with recommended resources, questions for reflection, key research findings, vocabulary, lesson plan templates, and more. “This is one of those books that I wish I had written. It is smart, readable, relevant, and authentically focused on children.” —From the Foreword by Elizabeth Graue, Sorenson Professor of Early Childhood Education, University of Wisconsin “In this deceptively easy-to-read book, Amy Parks explains two things that could make a world of difference in early childhood and elementary classrooms: Mathematics isn’t something in a workbook—it’s a fascinating part of the real world; And playing in school isn’t a luxury—it’s an essential context for learning about all sorts of things, including mathematics. Through vignettes of children learning mathematics as they play, Parks helps teachers recognize their ‘answerability to the moment,’ eschewing someone else’s determination of ‘best practice’ in favor of what works with actual children eager to learn mathematics.” —Rebecca New, School of Education, University of North Carolina at Chapel Hill
Download or read book Research on Teaching and Learning Mathematics at the Tertiary Level written by Irene Biza and published by Springer. This book was released on 2016-07-01 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years. Drawing on the most recent journal publications as well as the latest advances from recent high-quality conference proceedings, our review culls out the following five emergent areas of interest: mathematics teaching at the tertiary level; the role of mathematics in other disciplines; textbooks, assessment and students’ studying practices; transition to the tertiary level; and theoretical-methodological advances. We conclude the survey with a discussion of some potential directions for future research in this new and rapidly evolving domain of inquiry.
Download or read book Embracing Math written by Deanna Pecaski McLennan and published by . This book was released on 2020-08-18 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gain confidence in your ability to incorporate math into all aspects of your early learning program.
