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Author : Anthony Barcellos
Publisher : Unknown
Page : 314 pages
File Size : 54,5 Mb
Release : 2005
Category : Electronic
ISBN : UCAL:X70635
Author : Steve Rhine,Rachel Harrington,Colin Starr
Publisher : IAP
Page : 351 pages
File Size : 54,9 Mb
Release : 2018-11-01
Category : Education
ISBN : 9781641134132
Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students’ struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics’ (NCTM) call to better link research and practice by capturing what we have learned about students’ algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their experiences in the classroom. Through a Fund for the Improvement of Post-Secondary Education (FIPSE) grant, 17 teachers and mathematics educators read through the past 40 years of research on students’ algebraic thinking to capture what might be useful information for teachers to know—over 1000 articles altogether. The resulting five domains addressed in the book (Variables & Expressions, Algebraic Relations, Analysis of Change, Patterns & Functions, and Modeling & Word Problems) are closely tied to CCSS topics. Over time, veteran math teachers develop extensive knowledge of how students engage with algebraic concepts—their misconceptions, ways of thinking, and when and how they are challenged to understand—and use that knowledge to anticipate students’ struggles with particular lessons and plan accordingly. Veteran teachers learn to evaluate whether an incorrect response is a simple error or the symptom of a faulty or naïve understanding of a concept. Novice teachers, on the other hand, lack the experience to anticipate important moments in the learning of their students. They often struggle to make sense of what students say in the classroom and determine whether the response is useful or can further discussion (Leatham, Stockero, Peterson, & Van Zoest 2011; Peterson & Leatham, 2009). The purpose of this book is to accelerate early career teachers’ “experience” with how students think when doing algebra in middle or high school as well as to supplement veteran teachers’ knowledge of content and students. The research that this book is based upon can provide teachers with insight into the nature of a student’s struggles with particular algebraic ideas—to help teachers identify patterns that imply underlying thinking. Our book, How Students Think When Doing Algebra, is not intended to be a “how to” book for teachers. Instead, it is intended to orient new teachers to the ways students think and be a book that teachers at all points in their career continually pull of the shelf when they wonder, “how might my students struggle with this algebraic concept I am about to teach?” The primary audience for this book is early career mathematics teachers who don’t have extensive experience working with students engaged in mathematics. However, the book can also be useful to veteran teachers to supplement their knowledge and is an ideal resource for mathematics educators who are preparing preservice teachers.
Author : Bobby Ojose
Publisher : University Press of America
Page : 151 pages
File Size : 53,5 Mb
Release : 2015-05-01
Category : Mathematics
ISBN : 9780761858867
This book should be a handy tool for teachers of mathematics as they develop plans to confront the problem of misconceptions, which are common with students that often have their own notion of certain mathematical concepts, right or not. The onus is on the teacher to detect those misconceptions and help students remedy them. This book is written for that purpose. Teachers could emulate the presented strategies that the book has elucidated. Teachers may also devise their own strategies based on the source of the misconception as presented in the book. The research segment of each identified misconception will be helpful if teachers want to apprise themselves with what the literature says about the concept. In general, the book is meant for teachers who want to help students engage in mathematics that emphasize conceptual understanding.
Author : Reuben Hersh,Vera John-Steiner
Publisher : Princeton University Press
Page : 432 pages
File Size : 54,5 Mb
Release : 2010-12-13
Category : Mathematics
ISBN : 1400836115
Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.
Author : Anonim
Publisher : Unknown
Page : 380 pages
File Size : 40,6 Mb
Release : 1998
Category : Education
ISBN : MINN:30000006323301
Author : Niess, Margaret L.
Publisher : IGI Global
Page : 343 pages
File Size : 48,6 Mb
Release : 2015-08-03
Category : Education
ISBN : 9781466684041
Traditional classrooms are fast becoming a minority in the education field. As technologies continue to develop as a pervasive aspect of modern society, educators must be trained to meet the demands and opportunities afforded by this technology-rich landscape. The Handbook of Research on Teacher Education in the Digital Age focuses on the needs of teachers as they redesign their curricula and lessons to incorporate new technological tools. Including theoretical frameworks, empirical research, and best practices, this book serves as a guide for researchers, educators, and faculty and professional developers of distance learning tools.
Author : National Research Council,Mathematical Sciences Education Board,Committee on the Mathematical Sciences in the Year 2000
Publisher : National Academies Press
Page : 76 pages
File Size : 49,9 Mb
Release : 1991-02-01
Category : Education
ISBN : 9780309044899
Over the next decade, the mathematical community and the nation's colleges and unversities must restructure fundamentally the culture, content, and context of undergraduate mathematics. Acknowledging the weaknesses in the present college mathematics curriculum and the ways in which it is taught, this book cites exemplary programs that point the way toward achieving the same world-wide preeminence for mathematics education that the United States enjoys in mathematical research. Moving Beyond Myths sets forth ambitious goals for collegiate mathematics by the year 2000 and provides a sweeping plan of action to accomplish them. It calls on mathematics faculty, their departments, their professional societies, colleges and universities, and government agencies to do their parts to implement the plan, help the public move beyond commonly held myths about mathematics, and bring about a revitalization of undergraduate mathematics.
Author : Teresa Neidorf,Alka Arora,Ebru Erberber,Yemurai Tsokodayi,Thanh Mai
Publisher : Springer Nature
Page : 173 pages
File Size : 54,6 Mb
Release : 2019-10-30
Category : Education
ISBN : 9783030301880
This open access report explores the nature and extent of students’ misconceptions and misunderstandings related to core concepts in physics and mathematics and physics across grades four, eight and 12. Twenty years of data from the IEA’s Trends in International Mathematics and Science Study (TIMSS) and TIMSS Advanced assessments are analyzed, specifically for five countries (Italy, Norway, Russian Federation, Slovenia, and the United States) who participated in all or almost all TIMSS and TIMSS Advanced assessments between 1995 and 2015. The report focuses on students’ understandings related to gravitational force in physics and linear equations in mathematics. It identifies some specific misconceptions, errors, and misunderstandings demonstrated by the TIMSS Advanced grade 12 students for these core concepts, and shows how these can be traced back to poor foundational development of these concepts in earlier grades. Patterns in misconceptions and misunderstandings are reported by grade, country, and gender. In addition, specific misconceptions and misunderstandings are tracked over time, using trend items administered in multiple assessment cycles. The study and associated methodology may enable education systems to help identify specific needs in the curriculum, improve inform instruction across grades and also raise possibilities for future TIMSS assessment design and reporting that may provide more diagnostic outcomes.
Author : Robert F. Blitzer
Publisher : Unknown
Page : 0 pages
File Size : 50,7 Mb
Release : 1998
Category : Electronic
ISBN : 0130962996
Author : Godfrey Mwakikagile
Publisher : New Africa Press
Page : 452 pages
File Size : 45,9 Mb
Release : 2024-06-14
Category : Biography & Autobiography
ISBN : 8210379456XXX
The author looks at relations between Africans and African Americans and how they see each other. There are a lot of misconceptions which have an impact on how Africans and African Americans interact, with the media playing a major role in perpetuating myths about both.
Author : Yeping Li,W. James Lewis,James J. Madden
Publisher : Springer
Page : 303 pages
File Size : 41,6 Mb
Release : 2017-10-03
Category : Education
ISBN : 9783319614342
This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.
Author : Bernard Kolman
Publisher : Unknown
Page : 724 pages
File Size : 52,5 Mb
Release : 2006
Category : Algebra
ISBN : 1932856536
Author : Cheryl M. Rose,Leslie Minton,Carolyn Arline
Publisher : Corwin Press
Page : 200 pages
File Size : 42,9 Mb
Release : 2006-12-20
Category : Education
ISBN : 9781483334103
Appropriate for all grade levels, these 25 field-tested, easy-to-use mathematics assessment probes help teachers modify instruction by determining students' understanding of core mathematical concepts.
Author : ANONIMO
Publisher : Addison Wesley Longman
Page : 128 pages
File Size : 52,6 Mb
Release : 2005-05-01
Category : Education
ISBN : 0131921959
Author : Rodney R. Cocking,Jose P. Mestre
Publisher : Routledge
Page : 330 pages
File Size : 54,5 Mb
Release : 2013-03-07
Category : Education
ISBN : 9781136562631
The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.