PDF Insights and Recommendations from the MAA National Study of College Calculus Download
- Author: David M. Bressoud
- Publisher:
- ISBN: 9780883851944
- Category : Calculus
- Languages : en
- Pages : 169
Research and Development in University Mathematics Education
PDF Research and Development in University Mathematics Education Download
- Author: Viviane Durand-Guerrier
- Publisher: Routledge
- ISBN: 1000369285
- Category : Education
- Languages : en
- Pages : 244
In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.
Teaching and Learning of Calculus
PDF Teaching and Learning of Calculus Download
- Author: David Bressoud
- Publisher: Springer
- ISBN: 3319329758
- Category : Education
- Languages : en
- Pages : 44
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning
PDF Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning Download
- Author: Wendy M. Smith
- Publisher: American Mathematical Soc.
- ISBN: 1470463776
- Category : Education
- Languages : en
- Pages : 348
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?
Teaching Secondary and Middle School Mathematics
PDF Teaching Secondary and Middle School Mathematics Download
- Author: Daniel J. Brahier
- Publisher: Routledge
- ISBN: 0429629621
- Category : Education
- Languages : en
- Pages : 472
Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The sixth edition has been updated and expanded with particular emphasis on the latest technology, resources, and standards. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: The entire text has been reorganized so that assessment takes a more central role in planning and teaching. Unit 3 (of 5) now addresses the use of summative and formative assessments to inform classroom teaching practices. ● A new feature, "Links and Resources," has been added to each of the 13 chapters. While the book includes a substantial listing of citations and resources after the chapters, five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. ● Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. ● A Quick Reference Guide has been added to the front of the book to assist the reader in identifying the most useful chapter features by topic. ● A significant revision to Chapter 13 now includes discussions of common teaching assessments used for field experiences and licensure, as well as a discussion of practical suggestions for success in methods and student teaching experiences. ● Chapter 9 on the practical use of classroom technology has been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld, personal devices. An updated Instructor’s Manual features a test bank, sample classroom activities, Powerpoint slides, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9780367146511
Mathematics Education
PDF Mathematics Education Download
- Author: Jacqueline Dewar
- Publisher: Springer
- ISBN: 3319449508
- Category : Mathematics
- Languages : en
- Pages : 391
Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its value in the mathematical community. The writing is expository, not technical, and should be accessible and informative to a diverse audience. The primary readership includes all those in departments of mathematical sciences in two or four year colleges and universities, and their administrators, as well as graduate students. Researchers in education may also find topics of interest. Other potential readers include those doing work in mathematics education in schools of education, and teachers of secondary or middle school mathematics as well as those involved in their professional development.
The Mathematics Teacher Education Partnership
PDF The Mathematics Teacher Education Partnership Download
- Author: W. Gary Martin
- Publisher: IAP
- ISBN: 1641139331
- Category : Mathematics
- Languages : en
- Pages : 433
This book provides an overview of a body of work conducted over the past seven years related to the preparation of secondary mathematics teachers by the Mathematics Teacher Education Partnership (MTE-Partnership), a national consortium of more than 90 universities and 100 school systems. The MTE-Partnership is organized as a Networked Improvement Community (NIC), which combines the disciplined inquiry of improvement science with the power of networking to accelerate improvement by engaging a broad set of participants. The MTE-Partnership is addressing key challenges in secondary mathematics teacher preparation, including: • Supporting the development of content knowledge relevant to teaching secondary mathematics; • Providing effective clinical experiences to teacher candidates; • Recruiting secondary mathematics teacher candidates, ensuring program completion and their subsequent retention in the field as early career teachers; • Supporting overall transformation of secondary mathematics teacher preparation in alignment with these challenges; • Ensuring a focus on equity and social justice in secondary mathematics teacher recruitment, preparation, and induction. This book outlines existing knowledge related to each of these key challenges, as well as the work of Research Action Clusters (RACs) formed to address the challenges. Each RAC includes participants from multiple institutions who work collaboratively to iteratively develop, test, and refine processes and products that can help programs more effectively prepare secondary mathematics teacher candidates. The book describes promising approaches to improving aspects of secondary mathematics teacher preparation developed by the RACs, including specific products that have been developed, which will inform the work of others involved in secondary mathematics teacher preparation. In addition, reflections on the use of the NIC model provides insights for others considering this research design. Particular references to the Standards for Preparing Teachers of Mathematics (Association of Mathematics Teacher Educators, 2017) are included throughout the book.
Creativity of an Aha! Moment and Mathematics Education
PDF Creativity of an Aha! Moment and Mathematics Education Download
- Author:
- Publisher: BRILL
- ISBN: 9004446435
- Category : Education
- Languages : en
- Pages : 491
Creativity of an Aha!Moment and Mathematics Education introduces bisociation, the theory of Aha! moment creativity into Mathematics Education. It establishes relationships between bisociation and constructivist theories of learning laying down the basis for the new theory integrating creativity with learning.
Putting Theory into Practice in the Contemporary Classroom
PDF Putting Theory into Practice in the Contemporary Classroom Download
- Author: Becky McLaughlin
- Publisher: Cambridge Scholars Publishing
- ISBN: 1443868477
- Category : Education
- Languages : en
- Pages : 340
This collection of fourteen essays by scholars from Canada, Europe, the United Kingdom, and the United States emerges from a growing interest in the ways postmodern theory can illuminate not just the products and ideas of high culture, but also the ins and outs of everyday life. Taking the university classroom, broadly construed, as a site of theoretical investigation, this volume helps us to understand troublesome classroom dynamics as well as offering pedagogical strategies for dealing with them. It also illuminates current pressures on higher education that find expression in the classroom. As a forum for these issues, these essays draw upon Deleuzian, feminist, Foucauldian, and psychoanalytic approaches, among others, recognizing not only that these approaches are often in conflict, but also that, collectively, they enhance our understanding of the classroom. Important questions posed here include whether, and if so how, we can combine a Marxist or Foucauldian emphasis on the disciplinary and hegemonic practices of educational institutions with a Lacanian or Barthesian appreciation for the disruptive pleasures and drives that the unconscious produces within and through students, teachers, and classrooms. Which theoretical and pedagogical innovations can help teachers and students to “get the job done” as well as to theorize “the job,” to simultaneously practice education and imagine other forms and ends for education? How can theory help us to historicize, criticize, and re-draw the productive, but sometimes disabling, lines that “make” the classroom and its subjects? A site for lively theoretical debate about these and related pedagogical issues, this volume will prove useful for anyone wanting to reinterpret, reinvent, and reinvigorate the classroom.
Researching and Enacting Change in Postsecondary Education
PDF Researching and Enacting Change in Postsecondary Education Download
- Author: Charles Henderson
- Publisher: Routledge
- ISBN: 0429810172
- Category : Education
- Languages : en
- Pages : 136
Calls to improve undergraduate STEM education have resulted in initiatives that seek to bolster student learning outcomes by promoting changes in teaching practices. Written by participants in a series of ground-breaking social network analysis (SNA) workshops, Researching and Enacting Change in Postsecondary Education argues that the academic department is a highly productive focus for the spread of new, network-based teaching ideas. By clarifying methodological issues related to SNA data collection and articulating relevant theoretical approaches to the topic, this book leverages current knowledge about social network theory and SNA techniques for understanding instructional improvement in higher education.
