Psychologizing Algebra
Author | : Mary Stener Spence |
Publisher | : |
Total Pages | : 394 |
Release | : 1997 |
Genre | : |
ISBN | : |
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Author | : Mary Stener Spence |
Publisher | : |
Total Pages | : 394 |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : Edward Lee Thorndike |
Publisher | : |
Total Pages | : 504 |
Release | : 1923 |
Genre | : Algebra |
ISBN | : |
Author | : Daniel Chazan |
Publisher | : Teachers College Press |
Total Pages | : 222 |
Release | : 2000-01-01 |
Genre | : Education |
ISBN | : 9780807739181 |
Based on the author’s experience as a researcher and teacher of lower-track students, Beyond Formulas in Mathematics and Teaching illuminates the complex dynamics of the algebra classroom. From within this setting, Daniel Chazan thoughtfully explores topics that concern all dedicated educators, how to really know one’s students, how to find engaging material, and how to inspire meaningful classroom conversations. Throughout, he addresses the predicaments that are central to the lives of teachers who work in standard educational settings. By highlighting teaching dilemmas, Chazan prompts readers to consider what their own responses would be in similar situations. With an eye to ways of restructuring roles and relationships, Beyond Formulas in Mathematics and Teaching is essential reading for educators seeking to enhance their teaching practices and understanding of students who may be estranged from school.
Author | : Edward Lee Thorndike |
Publisher | : |
Total Pages | : 483 |
Release | : 1924 |
Genre | : Algebra |
ISBN | : |
Author | : Elizabeth Fennema |
Publisher | : Routledge |
Total Pages | : 447 |
Release | : 2013-04-03 |
Genre | : Education |
ISBN | : 1136496327 |
This book addresses the need of professional development leaders and policymakers for scholarly knowledge about influencing teachers to modify mathematical instruction to bring it more in alignment with the recommendations of the current reform movement initiated by the National Council of Teachers of Mathematics. The book presents: * theoretical perspectives for studying, analyzing, and understanding teacher change; * descriptions of contextual variables to be considered as one studies and attempts to understand teacher change; and * descriptions of professional development programs that resulted in teacher change. One chapter builds a rationale for looking to developmental psychology for guidance in constructing models of reconstructing new forms of mathematical instruction. Another highlights the relevance to mathematics teacher development of research-based knowledge about how children construct mathematical ideas. Other chapters explore the relationships between the various contexts of schooling and instructional change. Included also are chapters that describe and analyze major reform efforts designed to assist teachers in modifying their instructional practices (Cognitively Guided Instruction, Math-Cubed, Project Impact, Mathematics in Context, and the Case-Based Project). Finally, the current state of knowledge about encouraging teachers to modify their instruction is discussed, the implications of major research and implementation findings are suggested, and some of the major questions that need to be addressed are identified, such as what we have learned about teacher change.
Author | : Laura Gordon Powers |
Publisher | : |
Total Pages | : 76 |
Release | : 1927 |
Genre | : Algebra |
ISBN | : |
Author | : Steve Rhine |
Publisher | : IAP |
Total Pages | : 351 |
Release | : 2018-11-01 |
Genre | : Education |
ISBN | : 1641134135 |
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 | : Ben Yagoda |
Publisher | : Penguin |
Total Pages | : 146 |
Release | : 2014-06-10 |
Genre | : Language Arts & Disciplines |
ISBN | : 0698157826 |
From a critically acclaimed master of language, a look at the trends, phenomena, and battles on the front lines of modern American English. In You Need to Read This, language expert Ben Yagoda writes about the cuckoo things we have done to the English language. His witty, insightful, and wise observations and advice are gathered here together for the first time. From the phenomenon of curate, to the rise of the glottal stop, to the prevalence of starting sentences with so, to the story of an epithet of the moment (douchey), Yagoda chronicles the trends in our language. In the second part of You Need to Read This, he examines the issue of mistakes and “mistakes,” and the battles between prescriptivists, who nitpick grammar, and descriptivists, who defend new expressions and casual usage. Yagoda is on the front lines of the language wars, and you need to read this book to find out which side you’re on.
Author | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 289 |
Release | : 2004-11-12 |
Genre | : Education |
ISBN | : 0309092426 |
This book reviews the evaluation research literature that has accumulated around 19 K-12 mathematics curricula and breaks new ground in framing an ambitious and rigorous approach to curriculum evaluation that has relevance beyond mathematics. The committee that produced this book consisted of mathematicians, mathematics educators, and methodologists who began with the following charge: Evaluate the quality of the evaluations of the thirteen National Science Foundation (NSF)-supported and six commercially generated mathematics curriculum materials; Determine whether the available data are sufficient for evaluating the efficacy of these materials, and if not; Develop recommendations about the design of a project that could result in the generation of more reliable and valid data for evaluating such materials. The committee collected, reviewed, and classified almost 700 studies, solicited expert testimony during two workshops, developed an evaluation framework, established dimensions/criteria for three methodologies (content analyses, comparative studies, and case studies), drew conclusions on the corpus of studies, and made recommendations for future research.
Author | : |
Publisher | : |
Total Pages | : 516 |
Release | : 1927 |
Genre | : Electronic journals |
ISBN | : |