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Directions For Mathematics Research Experience For Undergraduates

Author: Rubinstein Yanir A
Publisher: World Scientific
ISBN: 9814630330
Size: 71.23 MB
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“The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it has changed, and where this idea will go next.”This was the premise of the conference held at Mt. Holyoke College during 21-22 June, 2013, and this circle of ideas is brought forward in this volume. The conference brought together diverse points of view, from NSF administrators, leaders of university-wide honors programs, to faculty who had led REUs, recent PhDs who are expected to lead them soon, and students currently in an REU themselves. The conversation was so varied that it justifies a book-length attempt to capture all that was suggested, reported, and said. Among the contributors are Ravi Vakil (Stanford), Haynes Miller (MIT), and Carlos Castillo-Chavez (Arizona, President's Obama Committee on the National Medal of Science 2010-2012).This book should serve not only as a collection of speakers' notes, but also as a source book for anyone interested in teaching mathematics and in the possibility of incorporating research-like experiences in mathematics classes at any level, as well as designing research experiences for undergraduates outside of the classroom.

Undergraduate Research Experiences For Stem Students

Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
ISBN: 0309452805
Size: 45.13 MB
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Undergraduate research has a rich history, and many practicing researchers point to undergraduate research experiences (UREs) as crucial to their own career success. There are many ongoing efforts to improve undergraduate science, technology, engineering, and mathematics (STEM) education that focus on increasing the active engagement of students and decreasing traditional lecture-based teaching, and UREs have been proposed as a solution to these efforts and may be a key strategy for broadening participation in STEM. In light of the proposals questions have been asked about what is known about student participation in UREs, best practices in UREs design, and evidence of beneficial outcomes from UREs. Undergraduate Research Experiences for STEM Students provides a comprehensive overview of and insights about the current and rapidly evolving types of UREs, in an effort to improve understanding of the complexity of UREs in terms of their content, their surrounding context, the diversity of the student participants, and the opportunities for learning provided by a research experience. This study analyzes UREs by considering them as part of a learning system that is shaped by forces related to national policy, institutional leadership, and departmental culture, as well as by the interactions among faculty, other mentors, and students. The report provides a set of questions to be considered by those implementing UREs as well as an agenda for future research that can help answer questions about how UREs work and which aspects of the experiences are most powerful.

Discipline Based Education Research

Author: Committee on the Status, Contributions, and Future Directions of Discipline-Based Education Research
Publisher: National Academies Press
ISBN: 0309254116
Size: 27.54 MB
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The National Science Foundation funded a synthesis study on the status, contributions, and future direction of discipline-based education research (DBER) in physics, biological sciences, geosciences, and chemistry. DBER combines knowledge of teaching and learning with deep knowledge of discipline-specific science content. It describes the discipline-specific difficulties learners face and the specialized intellectual and instructional resources that can facilitate student understanding. Discipline-Based Education Research is based on a 30-month study built on two workshops held in 2008 to explore evidence on promising practices in undergraduate science, technology, engineering, and mathematics (STEM) education. This book asks questions that are essential to advancing DBER and broadening its impact on undergraduate science teaching and learning. The book provides empirical research on undergraduate teaching and learning in the sciences, explores the extent to which this research currently influences undergraduate instruction, and identifies the intellectual and material resources required to further develop DBER. Discipline-Based Education Research provides guidance for future DBER research. In addition, the findings and recommendations of this report may invite, if not assist, post-secondary institutions to increase interest and research activity in DBER and improve its quality and usefulness across all natural science disciples, as well as guide instruction and assessment across natural science courses to improve student learning. The book brings greater focus to issues of student attrition in the natural sciences that are related to the quality of instruction. Discipline-Based Education Research will be of interest to educators, policy makers, researchers, scholars, decision makers in universities, government agencies, curriculum developers, research sponsors, and education advocacy groups.

Undergraduate Research In The Sciences

Author: Sandra Laursen
Publisher: John Wiley & Sons
ISBN: 0470625635
Size: 39.83 MB
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Undergraduate research enhances the learning experience of students in science, technology, engineering, and mathematics. Undergraduate Research in the Sciences offers a groundbreaking and practical research-based book on the topic. This comprehensive resource addresses how undergraduate research benefits undergraduate participants, including those populations that are underrepresented in the sciences; compares its benefits with other types of educational activities and experiences; and assesses its long-term value to students and faculty as both a scholarly and educational endeavor. In laying out the processes by which these benefits are achieved, this important book can assist faculty and program directors with practical guidance for design and evaluation of both new and existing undergraduate research programs. Praise for Undergraduate Research in the Sciences "This meticulous, definitive study of the effects of working with a faculty member on research as an undergraduate confirms the overall value of the experience by taking us deep into the minds and actions of participants—both faculty and students. As a result we now have many more compelling reasons to get more students involved with research mentors and ways to optimize the benefits for all parties."—George D. Kuh, Chancellor's Professor and director, Indiana University Center for Postsecondary Research "This timely book offers a unique, comprehensive analysis of undergraduate research in the sciences, based on the voices of college students and faculty mentors who have participated in these voyages of discovery. As our nation struggles to train more scientists, this book will be a valuable resource for designing undergraduate research experiences that can build our country's capacity for discovery and innovation."—Arthur B. Ellis, Vice Chancellor for Research, University of California, San Diego "The text is written in a lucid and engaging style and will be a valuable guide to policymakers, academic administrators, and faculty members who want to find ways to engage undergraduates in the 'real work' of investigation."—Judith A. Ramaley, president, Winona State University "This book is a 'must-read' for anyone who directs undergraduates in research. It presents an impressive and rigorous body of work that brings fresh insights into the field of undergraduate research. The next generation of scientists will benefit greatly from the findings and recommendations!"—Jo Handelsman, Howard Hughes Medical Institute Professor, Yale University

How People Learn

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131979
Size: 54.25 MB
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First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methods--to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

Gaimme

Author: Solomon A. Garfunkel
Publisher:
ISBN: 9781611974447
Size: 14.68 MB
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How Chinese Teach Mathematics

Author: Lianghuo Fan
Publisher: World Scientific
ISBN: 9814415839
Size: 78.35 MB
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This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, How Chinese Learn Mathematics: Perspectives from Insiders, this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners. Contents:Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An IntroductionHistorical and Contemporary Perspectives:The Wisdom of Traditional Mathematical Teaching in China (DAI Qin and CHEUNG Ka Luen) How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research (FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida) Understanding the Chinese Ways of Teaching Mathematics: Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning (HUANG Rongjin, MILLER L Diane and TZUR Ron)Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence (WANG Tao, CAI Jinfa and HWANG Stephen) Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan (HUANG Hsin-Mei E) Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai (FANG Yanping) Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands (LI Titus Siu Pang) Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan (YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)Teaching Geometrical Theorems in Grade 8 Using the “Shen Tou” Method: A Case Study in Shanghai (DING Liping, JONES Keith and ZHANG Dianzhou) Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland (HUANG Xingfeng, YANG Jinglei and LI Shiqi) Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities (XU Binyan and ZHU Guangtian)A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors (LEE Yuan-Shun and LIN Fou-Lai) Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons (MA Yunpeng and ZHAO Dongchen) Qingpu Mathematics Teaching Reform and Its Impact on Student Learning (GU Lingyuan, YANG Yudong and HE Zhenzhen)Chinese Mathematics Teachers, Teacher Education and Teacher Professional Development:Beliefs, Knowledge and Teaching: A Series of Studies about Chinese Mathematics Teachers (ZHANG Qiaoping and WONG Ngai-Ying)What Makes a Master Teacher? A Study of Thirty-One Mathematics Master Teachers in Chinese Mainland (FAN Lianghuo, ZHU Yan and TANG Caibin)Chinese Teachers' Mathematics Beliefs in the Context of Curriculum Reform (CHEN Qian and LEUNG Koon Shing Frederick) "Same Content Different Designs" Activities and Their Impact on Prospective Mathematics Teachers' Professional Development: The Case of Nadine (YUAN Zhiqiang and LI Xuhui)Exploration into Chinese Mathematics Teachers' Perceptions of Concept Map (JIN Haiyue, LU Jun and ZHONG Zhihua) Assisting Teachers in Maintaining High-Level Cognitive Demands of Mathematical Tasks in Classroom Practices: A Training Course in Taiwan (LIN Pi-Jen and TSAI Wen-Huan) The Relationships between Religious Beliefs and Teaching among Mathematics Teachers in Chinese Mainland, Taiwan and Hong Kong (LEU Yuh-Chyn, CHAN Yip-Cheung and WONG Ngai-Ying)Epilogue: Why the Interest in the Chinese Learner? (FAN Lianghuo, WONG Ngai-Ying, CAI Jinfa and LI Shiqi) Readership: Researchers, educators, lecturers, and graduate students in mathematics and education. Keywords:Mathematics;Mathematics Teaching and Learning;Mathematics Education;Chinese Education;China Study;Asian EducationKey Features:Concerted research effort. The book is well-planned, structured, and organizedUnique treatment of the topic: comprehensive and in-depth coverage on teaching, teacher, and teacher education for a wide range of international readersProminent authors and contributors: Many of them are the world's leading scholars or most active researchers

Acquisition Of Complex Arithmetic Skills And Higher Order Mathematics Concepts

Author: David C. Geary
Publisher: Academic Press
ISBN: 0128133686
Size: 73.36 MB
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Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public