Download or read book Integrating Computers And Problem Posing In Mathematics Teacher Education written by Sergei Abramovich and published by World Scientific. This book was released on 2018-09-17 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.

Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​

Download or read book Exploring Mathematics With Integrated Spreadsheets In Teacher Education written by Sergei Abramovich and published by World Scientific Publishing Company. This book was released on 2015-07-30 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to technologically enhance the preparation of mathematics schoolteachers using an electronic spreadsheet integrated with Maple and Wolfram Alpha — digital tools capable of sophisticated symbolic computations. The content of the book is a combination of mathematical ideas and concepts associated with pre-college problem solving curriculum and their extensions into more advanced mathematical topics.The book provides prospective and practicing teachers with a foundation for developing a deep understanding of many concepts fundamental to the teaching of school mathematics. It also provides the teachers with a technical expertise in designing spreadsheet-based computational environments.Consistent with the current worldwide guidelines for technology-enhanced teacher preparation, the book emphasizes the integration of context, mathematics, and technology as a method for teaching mathematics. Throughout the book, a number of mathematics education documents developed around the world (Australia, Canada, England, Japan, Singapore, United States) are reviewed as appropriate.

Download or read book Developing Deep Knowledge in Middle School Mathematics written by Sergei Abramovich and published by Springer Nature. This book was released on 2021-05-10 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

Download or read book Topics in Mathematics For Elementary Teachers written by Sergei Abramovich and published by IAP. This book was released on 2024-01-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second (revised) edition of the book published in 2010 under the same title. It reflects the author’s experience teaching a graduate level mathematics content course for elementary teacher candidates at SUNY Potsdam since 2003. The book addresses a number of recommendations of the Conference Board of the Mathematical Sciences for the preparation of teachers demonstrating how abstract mathematical concepts can be motivated by concrete activities and the use of technology. Such approach to school mathematics makes it easier for teachers to grasp the meaning of generalization, formal proof, and the creation of an increasing number of concepts on higher levels of abstraction. The book’s computer-enhanced pedagogy and its strong experiential component enabled by the use of manipulative materials have the potential to reduce mathematics anxiety among teachers and help them develop confidence in teaching the subject matter through modeling and problem solving. Classroom observations of teachers’ learning mathematics as a combination of theory and experiment confirm that this approach elevates one’s mathematical understanding to a higher ground. Most of the chapters are motivated by a problem typically found in the elementary mathematics curricula and/or standards (either National or New York State – the context in which the author prepare teachers). By exploring traditional problems in depth, teachers can uncover fundamental mathematical concepts and ideas hidden within a seemingly mundane task. The need to have experience in going beyond traditional expectations for learning is due to the constructivist orientation of contemporary mathematics pedagogy that encourages students to ask questions about mathematics they study. Each chapter (except the last one) includes an activity set that can be used for the development of the variety of assignments for teachers. Digital tools used in the book include spreadsheets, Wolfram Alpha, GeoGebra, Kid Pix Studio Deluxe, and Graphing Calculator (Pacific Tech).

Download or read book Fostering Collateral Creativity in School Mathematics written by Sergei Abramovich and published by Springer Nature. This book was released on 2023-10-03 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the topic of using technology, both physical and digital, to motivate creative mathematical thinking among students who are not considered ‘mathematically advanced.’ The book reflects the authors’ experience of teaching mathematics to Canadian and American teacher candidates and supervising several field-based activities by the candidates. It consists of eight chapters and an Appendix which includes details of constructing computational learning environments. Specifically, the book demonstrates how the appropriate use of technology in the teaching of mathematics can create conditions for the emergence of what may be called ‘collateral creativity,’ a notion similar to Dewey’s notion of collateral learning. Just as collateral learning does not result from the immediate goal of the traditional curriculum, collateral creativity does not result from the immediate goal of traditional problem solving. Rather, mathematical creativity emerges as a collateral outcome of thinking afforded by the use of technology. Furthermore, collateral creativity is an educative outcome of one’s learning experience with pedagogy that motivates students to ask questions about computer-generated or tactile-derived information and assists them in finding answers to their own or the teacher’s questions. This book intends to provide guidance to teachers for fostering collateral creativity in their classrooms.

Download or read book Handbook of Research on Integrating Computer Science and Computational Thinking in K 12 Education written by Keengwe, Jared and published by IGI Global. This book was released on 2019-12-13 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: As technology continues to develop and prove its importance in modern society, certain professions are acclimating. Aspects such as computer science and computational thinking are becoming essential areas of study. Implementing these subject areas into teaching practices is necessary for younger generations to adapt to the developing world. There is a critical need to examine the pedagogical implications of these technological skills and implement them into the global curriculum. The Handbook of Research on Integrating Computer Science and Computational Thinking in K-12 Education is a collection of innovative research on the methods and applications of computer science curriculum development within primary and secondary education. While highlighting topics including pedagogical implications, comprehensive techniques, and teacher preparation models, this book is ideally designed for teachers, IT consultants, curriculum developers, instructional designers, educational software developers, higher education faculty, administrators, policymakers, researchers, and graduate students.

Download or read book Towards Deep Understanding Of Elementary School Mathematics A Brief Companion For Teacher Educators And Others written by Sergei Abramovich and published by World Scientific. This book was released on 2022-07-07 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended to serve as a brief companion for mathematical educators of elementary teacher candidates who learn mathematics within a college of education both at the undergraduate and graduate levels. Being informed by mathematics teaching and learning standards of the United States, Australia, Canada, Chile, England, Japan, Korea, Singapore, and South Africa, the book can be used internationally.The teaching methods emphasize the power of visualization, the use of physical materials, and support of computer technology including spreadsheet, Wolfram Alpha, and the Geometer's Sketchpad.The basic ideas include the development of the concepts of number, base-ten system, problem solving and posing, the emergence of fractions in the context of simple real-life activities requiring the extension of whole number arithmetic, decimals, percent, ratio, geoboard geometry, elements of combinatorics, probability and data analysis.The book includes historical aspects of elementary school mathematics. For example, readers would be interested to know that two-sided counters stem from the binary system with its genesis in the 1st millennium BC China of which Leibnitz (17th century) was one of the first notable proponents. The genesis of the base-ten arithmetic is in the Egyptian mathematics of the 4th millennium BC, enriched with the positional notation with the advent of Hindu-Arabic numerals in the 12th century Europe.

Download or read book Creativity and Technology in Mathematics Education written by Viktor Freiman and published by Springer. This book was released on 2018-09-03 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.

Download or read book Integrating Research on Teaching and Learning Mathematics written by Elizabeth Fennema and published by SUNY Press. This book was released on 1991-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.

Download or read book Strength in Numbers written by Ilana Seidel Horn and published by . This book was released on 2012 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a seasoned teacher, researcher and teacher educator with over two decades of teaching experience, the goal of this book is to support teachers in developing tools for effective group work in their secondary mathematics classrooms. Effective group work engages children’s own thinking and allows them to work together to understand a concept. It can also address problems that often arise in typical mathematics instruction by providing a framework for teachers to create engaging learning environments. The book outlines ways to choose tasks, help students adjust to new ways of approaching schoolwork, and discusses the types of status problems that can impede the most earnest attempts at collaborative learning. This practical, useful book introduces tested tools and concepts for creating equitable collaborative learning environments that supports all students and develops confidence in their mathematical ability.

Download or read book Developing Technology Rich Teacher Education Programs Key Issues written by Polly, Drew and published by IGI Global. This book was released on 2012-01-31 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book offers professional teacher educators a rare opportunity to harvest the thinking of pioneering colleagues spanning dozens of universities, and to benefit from the creativity, scholarship, hard work, and reflection that led them to the models they describe"--Provided by publisher.

Download or read book Lifelong Technology Enhanced Learning written by Viktoria Pammer-Schindler and published by Springer. This book was released on 2018-08-24 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 13th European Conference on Technology Enhanced Learning, EC-TEL 2018, held in Leeds, UK, in September 2018. The 42 full and short papers, 7 demo papers, and 23 poster papers presented in this volume were carefully reviewed and selected from 142 submissions. This year, the European Conference on Technology-Enhanced Learning (EC-TEL) will engage researchers, practitioners, educational developers, entrepreneurs and policy makers in a joint discussion on how to put science, technology and practice at the service of learning to embrace these challenges on the topic: Lifelong technology enhanced learning: Dealing with the complexity of 21st century challenges. /div Chapter "" is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Download or read book Emerging Technologies for STEAM Education written by Xun Ge and published by Springer. This book was released on 2015-09-09 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This theory-to-practice guide offers leading-edge ideas for wide-scale curriculum reform in sciences, technology, engineering, the arts, and mathematics--the STEAM subjects. Chapters emphasize the critical importance of current and emerging digital technologies in bringing STEM education up to speed and implementing changes to curricula at the classroom level. Of particular interest are the diverse ways of integrating the liberal arts into STEM course content in mutually reshaping humanities education and scientific education. This framework and its many instructive examples are geared to ensure that both educators and students can become innovative thinkers and effective problem-solvers in a knowledge-based society. Included in the coverage: Reconceptualizing a college science learning experience in the new digital era. Using mobile devices to support formal, informal, and semi-formal learning. Change of attitudes, self-concept, and team dynamics in engineering education. The language arts as foundational for science, technology, engineering, art, and mathematics. Can K-12 math teachers train students to make valid logical reasoning? Moving forward with STEAM education research. Emerging Technologies for STEAM Education equips educators, education researchers, administrators, and education policymakers with curricular and pedagogical strategies for making STEAM education the bedrock of accessible, relevant learning in keeping with today's digital advances.

Download or read book Resources in Education written by and published by . This book was released on 2001 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computational Experiment Approach to Advanced Secondary Mathematics Curriculum written by Sergei Abramovich and published by Springer Science & Business Media. This book was released on 2014-05-08 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, the book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book’s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession.

Download or read book Handbook of Research on Learner Centered Approaches to Teaching in an Age of Transformational Change written by Bromer, Billi L. and published by IGI Global. This book was released on 2022-06-24 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Institutions of education are in an age of transformational change in which learning has a wider scope of understanding and long-term impact than ever before. Those involved in teaching and learning require additional training and subject matter support towards developing a broader and more profoundly complex understanding of the learners affected by evolving sociological events and associated needs. More than ever, a broader understanding of the learner is needed, inclusive of a learner-centered approach to both teaching and learner cognitive engagement. The Handbook of Research on Learner-Centered Approaches to Teaching in an Age of Transformational Change examines the abundant transformational changes that have occurred and provide strategies to understand and address them. It draws from a wide range of experts and provides a burgeoning understanding of the effects of these rapidly-moving transformational changes that are occurring in the processes of teaching and learning. Exploring a wide range of issues such as community engagement scholarship, motivation-driven assignment design, and trauma-informed practices, this major reference work is an invaluable resource for educators of K-12 and higher education, educational faculty and administration, pre-service teachers, government officials, non-profit organizations, sociologists, libraries, researchers, and academicians.