The Moore Method
The Moore Method

Author: Charles Arthur Coppin

Publisher: MAA

Published: 2009

Total Pages: 262

ISBN-13: 9780883851852

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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.

Research in Collegiate Mathematics Education II
Research in Collegiate Mathematics Education II

Author: James J. Kaput

Publisher: American Mathematical Soc.

Published: 1996

Total Pages: 234

ISBN-13: 0821803824

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The field of research in collegiate mathematics education has grown rapidly over the past 25 years. Many people are convinced that improvement in mathematics education can only come with a greater understanding of what is involved when a student tries to learn mathematics and how pedagogy can be more directly related to the learning process. Today there is a substantial body of work and a growing group of researchers addressing both basic and applied issues of mathematics education at the collegiate level. This second volume in Research in Collegiate Mathematics Education begins with a paper that attends to methodology and closes with a list of questions. The lead-off paper describes a distinctive approach to research on key concepts in the undergraduate mathematics curriculum. This approach is distinguished from others in several ways, especially its integration of research and instruction. The papers in this volume exhibit a large diversity in methods and purposes, ranging from historical studies, to theoretical examinations of the role of gender in mathematics education, to practical evaluations of particular practices and circumstances. As in RCME I, this volume poses a list of questions to the reader related to undergraduate mathematics education. The eighteen questions were raised at the first Oberwolfach Conference in Undergraduate Mathematics Education, which was held in the Fall of 1995, and are related to both research and curriculum. This series is published in cooperation with the Mathematical Association of America.

Collected Papers. Volume XIV
Collected Papers. Volume XIV

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2022-11-01

Total Pages: 970

ISBN-13:

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This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, Toshinori Asai, Assia Bakali, Azmat Hussain, Daniela Baran, Bijan Davvaz, Bilal Hadjadji, Carlos Díaz Bohorquez, Robert N. Boyd, M. Caldas, Cenap Özel, Pankaj Chauhan, Victor Christianto, Salvador Coll, Shyamal Dalapati, Irfan Deli, Balasubramanian Elavarasan, Fahad Alsharari, Yonfei Feng, Daniela Gîfu, Rafael Rojas Gualdrón, Haipeng Wang, Hemant Kumar Gianey, Noel Batista Hernández, Abdel-Nasser Hussein, Ibrahim M. Hezam, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Muthusamy Karthika, Nour Eldeen M. Khalifa, Madad Khan, Kifayat Ullah, Valeri Kroumov, Tapan Kumar Roy, Deepesh Kunwar, Le Thi Nhung, Pedro López, Mai Mohamed, Manh Van Vu, Miguel A. Quiroz-Martínez, Marcel Migdalovici, Kritika Mishra, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohammed Alshumrani, Mohamed Loey, Muhammad Akram, Muhammad Shabir, Mumtaz Ali, Nassim Abbas, Munazza Naz, Ngan Thi Roan, Nguyen Xuan Thao, Rishwanth Mani Parimala, Ion Pătrașcu, Surapati Pramanik, Quek Shio Gai, Qiang Guo, Rajab Ali Borzooei, Nimitha Rajesh, Jesús Estupiñan Ricardo, Juan Miguel Martínez Rubio, Saeed Mirvakili, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, Ahmed A. Salama, Nirmala Sawan, Gheorghe Săvoiu, Ganeshsree Selvachandran, Seok-Zun Song, Shahzaib Ashraf, Jayant Singh, Rajesh Singh, Son Hoang Le, Tahir Mahmood, Kenta Takaya, Mirela Teodorescu, Ramalingam Udhayakumar, Maikel Y. Leyva Vázquez, V. Venkateswara Rao, Luige Vlădăreanu, Victor Vlădăreanu, Gabriela Vlădeanu, Michael Voskoglou, Yaser Saber, Yong Deng, You He, Youcef Chibani, Young Bae Jun, Wadei F. Al-Omeri, Hongbo Wang, Zayen Azzouz Omar.

Research in Collegiate Mathematics Education IV
Research in Collegiate Mathematics Education IV

Author: Ed Dubinsky

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 305

ISBN-13: 0821820281

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This fourth volume of Research in Collegiate Mathematics Education (RCME IV) reflects the themes of student learning and calculus. Included are overviews of calculus reform in France and in the U.S. and large-scale and small-scale longitudinal comparisons of students enrolled in first-year reform courses and in traditional courses. The work continues with detailed studies relating students' understanding of calculus and associated topics. Direct focus is then placed on instruction and student comprehension of courses other than calculus, namely abstract algebra and number theory. The volume concludes with a study of a concept that overlaps the areas of focus, quantifiers. The book clearly reflects the trend towards a growing community of researchers who systematically gather and distill data regarding collegiate mathematics' teaching and learning. This series is published in cooperation with the Mathematical Association of America.

Pioneering Perspectives in Cooperative Learning
Pioneering Perspectives in Cooperative Learning

Author: Neil Davidson

Publisher: Taylor & Francis

Published: 2021-03-29

Total Pages: 285

ISBN-13: 1000361470

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Offering first-hand insights from the early originators of Cooperative Learning (CL), this volume documents the evolution of CL, illustrating its historical and contemporary research, and highlights the personal experiences which have helped inspire and ground this concept. Each of the chapters in Pioneering Perspectives in Cooperative Learning foregrounds a key approach to CL, and documents the experiences, research, and fruitful collaborations which have shaped and driven their development. Contributions from leading scholars include Aronson, Davidson, Kagan, Johnson & Johnson, Schmuck, the Sharans, Slavin and Madden, as well as retrospective pieces on the work of Deutsch and Cohen. These chapters detail the historical development of cooperative learning, cooperation versus competition, and cover major approaches including the jigsaw classroom; complex instruction; the learning together model, and several more. Chapters include qualitative, personal, and retrospective accounts, whereby authors outline the research and theory which underpins each approach while highlighting practical strategies for classroom implementation. This text will primarily be of interest to professors, researchers, scholars, and doctorial students with an interest in the theory of learning, educational research, and educational and social psychology more broadly. Practitioners of CL with an interest in varied forms of small group learning and classroom practice, as well as those interested in the history and sociology of education, will also benefit from the volume.

Routledge Library Editions: Higher Education
Routledge Library Editions: Higher Education

Author: Various

Publisher: Routledge

Published: 2021-03-29

Total Pages: 9066

ISBN-13: 0429790414

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The volumes in this set, originally published between 1964 and 2002, draw together research by leading academics in the area of higher education, and provide a rigorous examination of related key issues. The volume examines the concepts of learning, teaching, student experience and administration in relation to the higher education through the areas of business, sociology, education reforms, government, educational policy, business and religion, whilst also exploring the general principles and practices of higher education in various countries. This set will be of particular interest to students and practitioners of education, politics and sociology.

Making the Connection
Making the Connection

Author: Marilyn Paula Carlson

Publisher: MAA

Published: 2008

Total Pages: 340

ISBN-13: 9780883851838

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The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.

Hands on History
Hands on History

Author: Amy Shell-Gellasch

Publisher: MAA

Published: 2007

Total Pages: 191

ISBN-13: 0883851822

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In an increasingly electronic society, these exercises are designed to help school and collegiate educators use historical devices of mathematics to balance the digital side of mathematics.