Preservice Elementary School Teachers Conceptions Of Multidigit Whole Numbers

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Preservice Elementary School Teachers' Conceptions of Multidigit Whole Numbers

Author : Eva Thanheiser
Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Preservice Elementary School Teachers' Conceptions of Multidigit Whole Numbers by : Eva Thanheiser

Download or read book Preservice Elementary School Teachers' Conceptions of Multidigit Whole Numbers written by Eva Thanheiser and published by . This book was released on 2005 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: I develop a framework for preservice elementary teachers' (PSTs') conceptions of multidigit whole numbers before the PSTs enter their first mathematics course for future teachers and use that framework to describe their conceptions and their difficulties. Although PSTs have been shown to lack the understanding of multidigit whole numbers necessary to teach in ways that empower students mathematically, little is known about their conceptions. To help PSTs build a profound understanding of number, mathematics educators must be aware of their currently held conceptions. In my work, I draw upon the extensive research on children's understanding of multidigit whole numbers to explicate PSTs' conceptions of these numbers. Through two interviews each of 15 PSTs, I uncovered their conceptions of multidigit whole numbers in standard algorithms and other contexts and developed a framework for these conceptions, which fell into four broad categories: (a) each digit seen in terms of its reference unit (hundreds, tens, ones) enabling the PST to relate those reference units to one another; (b) each digit seen as a collection of ones (e.g., 389 is 300 ones and 80 ones and 9 ones); (c) some digits seen in terms of an incorrect unit type (e.g., the 8 in 389 as 8 ones instead of 80 ones or 8 tens); and (d) all digits seen only in terms of ones (e.g., 389 is 3 ones and 8 ones and 9 ones). Although the first two conceptions are correct, only the first empowers one to explain number in all contexts (e.g., to see each reference unit in terms of the next lower reference unit and thus to explain the 1-to-10 relationship between adjacent reference units). Using this framework, I discuss the PSTs' conceptions in four contexts, including standard algorithms, and their difficulties with number. Although all 15 PSTs could correctly apply the algorithms, many lacked the deep conceptual understanding needed to support children's development of place-value understanding, essential for future teachers. My framework includes a classification of PSTs' currently held conceptions of multidigit whole numbers and thus can be used to support mathematics educators who teach these students.

Research Advances in the Mathematical Education of Pre-service Elementary Teachers

Author : Gabriel J. Stylianides
Publisher : Springer
ISBN 13 : 331968342X
Total Pages : 297 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Research Advances in the Mathematical Education of Pre-service Elementary Teachers by : Gabriel J. Stylianides

Download or read book Research Advances in the Mathematical Education of Pre-service Elementary Teachers written by Gabriel J. Stylianides and published by Springer. This book was released on 2017-11-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines new trends and developments in research related to the mathematical education of pre-service elementary teachers, and explores the implications of these research advances for theory and practice in teacher education. The book is organized around the following four overarching themes: pre-service teachers’ mathematics content and mathematics-specific pedagogical preparation; professional growth through activities and assessment tools used in mathematics teacher preparation programs; pre-service mathematics teachers’ knowledge and beliefs; and perspectives on noticing in the preparation of elementary mathematics teachers. Including contributions from researchers working in 11 different countries, the book offers a forum for discussing and debating the state of the art regarding the mathematical preparation of pre-service elementary teachers. By presenting and discussing the findings of research conducted in different countries, the book offers also opportunities to readers to learn about varying teacher education practices around the world, such as: innovative practices in advancing or assessing teachers’ knowledge and beliefs, similarities and differences in the formal mathematics education of teachers, types of and routes in teacher education, and factors that can influence similarities or differences.

Building the Foundation: Whole Numbers in the Primary Grades

Author : Maria G. Bartolini Bussi
Publisher : Springer
ISBN 13 : 3319635557
Total Pages : 548 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Building the Foundation: Whole Numbers in the Primary Grades by : Maria G. Bartolini Bussi

Download or read book Building the Foundation: Whole Numbers in the Primary Grades written by Maria G. Bartolini Bussi and published by Springer. This book was released on 2018-03-29 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.

Strategies for Teaching Whole Number Computation

Author : David B. Spangler
Publisher : Corwin Press
ISBN 13 : 145229898X
Total Pages : 225 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Strategies for Teaching Whole Number Computation by : David B. Spangler

Download or read book Strategies for Teaching Whole Number Computation written by David B. Spangler and published by Corwin Press. This book was released on 2010-06-02 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through error analysis and targeted instruction, you can uncover students' misconceptions in addition, subtraction, multiplication, and division and help students understand and correct their own mistakes!

The Evolution of Research on Teaching Mathematics

Author : Agida Manizade
Publisher : Springer Nature
ISBN 13 : 3031311930
Total Pages : 380 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis The Evolution of Research on Teaching Mathematics by : Agida Manizade

Download or read book The Evolution of Research on Teaching Mathematics written by Agida Manizade and published by Springer Nature. This book was released on 2023-09-11 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.

Designing, Conducting, and Publishing Quality Research in Mathematics Education

Author : Keith R. Leatham
Publisher : Springer Nature
ISBN 13 : 303023505X
Total Pages : 270 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Designing, Conducting, and Publishing Quality Research in Mathematics Education by : Keith R. Leatham

Download or read book Designing, Conducting, and Publishing Quality Research in Mathematics Education written by Keith R. Leatham and published by Springer Nature. This book was released on 2019-09-12 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to collect, organize and disseminate collective wisdom with respect to designing, conducting, and publishing quality research in mathematics education. This wisdom will be gleaned from among those who, over the past several decades, have been instrumental in guiding the field in the pursuit of excellence in mathematics education research—insightful editors, educative reviewers, prolific writers, and caring mentors. Each chapter is written to the novice researcher with the intent of aiding them in avoiding common pitfalls, navigating difficult intellectual terrain, and understanding that they are not alone in experiencing rejection, frustration, confusion, and doubt. This book differs from existing literature in the sense that it is written about the enterprise of designing, conducting and publishing research in mathematics education as opposed to being reports of the results of such work. It also differs in the sense that it is written with the intent to mentor the rising generation as opposed to capture the state of the field (as would happen in a handbook, for example). It is written for the express purpose of helping the field work collectively to aid in the often isolated enterprise of mentoring new researchers. The primary audience is a potentially wide one: graduate students, novice researchers, graduate faculty, advisors, and mentors – or anyone seeking to improve their own abilities to design, conduct, and publish quality research in mathematics education.

Online Learning in Mathematics Education

Author : Karen Hollebrands
Publisher : Springer Nature
ISBN 13 : 3030802302
Total Pages : 353 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Online Learning in Mathematics Education by : Karen Hollebrands

Download or read book Online Learning in Mathematics Education written by Karen Hollebrands and published by Springer Nature. This book was released on 2021-10-27 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together research from mathematics education and instructional design to describe the development and impact of online environments on prospective and practicing teachers’ learning to teach mathematics. The move to online learning has steadily increased over the past decade. Its most rapid movement occurring in 2020 with most instruction taking place remotely. Chapters in this book highlight issues related to teacher learning in three main contexts: formal, informal, and experiential or practice-based. This volume brings together researchers from the different but related fields of instructional design and mathematics education to engage in dialogue around how we design and study the impacts of online learning in general and online mathematics education more specifically. The book is very timely with most instruction taking place online and mathematics educators addressing challenges related to supporting teachers’ formal, informal, and experiential learning online. A chapter in each section will synthesize ideas presented by instructional designers and mathematics educators as it relates to teacher learning in each context. At the end of each section, a retrospective chapter is presented to reflect on what the different perspectives offer to better understand mathematics teacher learning in online environments. This book is of interest to mathematics educators, researchers, teacher educators, professional development providers, and instructional designers.

The Mathematical Education of Teachers II

Author : Conference Board of the Mathematical Sciences
Publisher : American Mathematical Soc.
ISBN 13 : 0821869264
Total Pages : 106 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Mathematical Education of Teachers II by : Conference Board of the Mathematical Sciences

Download or read book The Mathematical Education of Teachers II written by Conference Board of the Mathematical Sciences and published by American Mathematical Soc.. This book was released on 2012 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report is a resource for those who teach mathematics and statistics to PreK-12 mathematics teachers, both future teachers and those who already teach in our nation's schools. The report makes recommendations for the mathematics that teachers should know and how they should come to know that mathematics. It urges greater involvement of mathematicians and statisticians in teacher education so that the nation's mathematics teachers have the knowledge, skills, and dispositions needed to provide students with a mathematics education that ensures high school graduates are college- and career-ready as envisioned by the Common Core State Standards. This report draws on the experience and knowledge of the past decade to: Update the 2001 Mathematical Education of Teachers report's recommendations for the mathematical preparation of teachers at all grade levels: elementary, middle, and high school. Address the professional development of teachers of mathematics. Discuss the mathematical knowledge needed by teachers at different grade levels and by others who teach mathematics such as elementary mathematics specialists, special education teachers, and early childhood educators. Each of the MET II writers is a mathematician, statistician, or mathematics educator with substantial expertise and experience in mathematics education. Among them are principal investigators for Math Science Partnerships as well as past presidents and chairs of the American Statistical Association, Association of Mathematics Teacher Educators, Association of State Supervisors of Mathematics, Conference Board of the Mathematical Sciences, and National Council of Teachers of Mathematics. The audience for this report includes all who teach mathematics to teachers--mathematicians, statisticians, and mathematics educators--and all who are responsible for the mathematical education of teachers--department chairs, educational administrators, and policy-makers at the national, state, school-district, and collegiate levels.

Developing Mathematical Proficiency for Elementary Instruction

Author : Yeping Li
Publisher : Springer Nature
ISBN 13 : 3030689565
Total Pages : 305 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Developing Mathematical Proficiency for Elementary Instruction by : Yeping Li

Download or read book Developing Mathematical Proficiency for Elementary Instruction written by Yeping Li and published by Springer Nature. This book was released on 2021-04-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to improve the mathematical proficiency of elementary teachers is well recognized, and it has long been of interest to educators and researchers in the U.S. and many other countries. But the specific proficiencies that elementary teachers need and the process of developing and improving them remain only partially conceptualized and not well validated empirically. To improve this situation, national workshops were organized at Texas A&M University to generate focused discussions about this important topic, with participation of mathematicians, mathematics educators and teachers. Developing Mathematical Proficiency for Elementary Instruction is a collection of articles that grew out of those exciting cross-disciplinary exchanges. Developing Mathematical Proficiency for Elementary Instruction is organized to probe the specifics of mathematical proficiency that are important to elementary teachers during two separate but inter-connected professional stages: as pre-service teachers in a preparation program, and as in-service teachers teaching mathematics in elementary classrooms. From this rich and inspiring collection, readers may better understand, and possibly rethink, their own practices and research in empowering elementary teachers mathematically and pedagogically, as educators or researchers.

Strategies for Teaching Fractions

Author : David B. Spangler
Publisher : Corwin Press
ISBN 13 : 1452269610
Total Pages : 249 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Strategies for Teaching Fractions by : David B. Spangler

Download or read book Strategies for Teaching Fractions written by David B. Spangler and published by Corwin Press. This book was released on 2011-08-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any way you slice it, fractions are foundational Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Also included are tools for analyzing student work and providing timely, specific, and meaningful interventions within an RTI framework. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Pages for practicing alternative algorithms and estimation Teacher resources for hands-on activities, game sheets and pieces, and more Worksheets, answer keys, and online resources Each main unit, along with the sections on academic research and "Big Ideas," concludes with a set of teacher reflection questions for use in a professional development setting. Get ready, get set, and help your students tackle fractions with confidence!

Mathematics Curriculum in School Education

Author : Yeping Li
Publisher : Springer Science & Business Media
ISBN 13 : 9400775601
Total Pages : 651 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics Curriculum in School Education by : Yeping Li

Download or read book Mathematics Curriculum in School Education written by Yeping Li and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics curriculum, which is often a focus in education reforms, has not received extensive research attention until recently. Ongoing mathematics curriculum changes in many education systems call for further research and sharing of effective curriculum policies and practices that can help lead to the improvement of school education. This book provides a unique international perspective on diverse curriculum issues and practices in different education systems, offering a comprehensive picture of various stages along curriculum transformation from the intended to the achieved, and showing how curriculum changes in various stages contribute to mathematics teaching and learning in different educational systems and cultural contexts. The book is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: Identifying what is important in mathematics for teaching and learning in different education systems; Understanding mathematics curriculum and its changes that are valued over time in different education systems; Identifying and analyzing effective curriculum practices; Probing effective infrastructure for curriculum development and implementation. Mathematics Curriculum in School Education brings new insights into curriculum policies and practices to the international community of mathematics education, with 29 chapters and four section prefaces contributed by 56 scholars from 14 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, curriculum developers, and graduate students interested in learning about recent curriculum development, research, and practices in different education systems. It will help readers to reflect on curriculum policies and practices in their own education systems, and also inspire them to identify and further explore new areas of curriculum research for improving mathematics teaching and learning.

Handbook of Research on Field-Based Teacher Education

Author : Hodges, Thomas E.
Publisher : IGI Global
ISBN 13 : 1522562508
Total Pages : 777 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Handbook of Research on Field-Based Teacher Education by : Hodges, Thomas E.

Download or read book Handbook of Research on Field-Based Teacher Education written by Hodges, Thomas E. and published by IGI Global. This book was released on 2018-10-26 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher education is an evolving field with multiple pathways towards teacher certification. Due to an increasing emphasis on the benefits of field-based learning, teachers can now take alternative certification pathways to become teachers. The Handbook of Research on Field-Based Teacher Education is a pivotal reference source that combines field-based components with traditional programs, creating clinical experiences and “on-the-job” learning opportunities to further enrich teacher education. While highlighting topics such as certification design, preparation programs, and residency models, this publication explores theories of teaching and learning through collaborative efforts in pre-Kindergarten through grade 12 settings. This book is ideally designed for teacher education practitioners and researchers invested in the policies and practices of educational design.

Journal for Research in Mathematics Education

Author :
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Journal for Research in Mathematics Education by :

Download or read book Journal for Research in Mathematics Education written by and published by . This book was released on 2012 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics Matters in Education

Author : Yeping Li
Publisher : Springer
ISBN 13 : 3319614347
Total Pages : 298 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematics Matters in Education by : Yeping Li

Download or read book Mathematics Matters in Education written by Yeping Li and published by Springer. This book was released on 2017-10-03 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dissertation Abstracts International

Author :
Publisher :
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2005 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Economic Competence and Financial Literacy of Young Adults

Author : Eveline Wuttke
Publisher : Verlag Barbara Budrich
ISBN 13 : 3847402838
Total Pages : 236 pages
Book Rating : 4.8/5 (474 download)

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Book Synopsis Economic Competence and Financial Literacy of Young Adults by : Eveline Wuttke

Download or read book Economic Competence and Financial Literacy of Young Adults written by Eveline Wuttke and published by Verlag Barbara Budrich. This book was released on 2016-05-23 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors take a detailed look at the economic competence and financial literacy of young adults, especially of those who start an apprenticeship or who take up their studies at a university. Economic competence and financial literacy are of special interest within this group, because these young people are – mostly for the fi rst time in their lives – responsible for autonomously managing their own fi nancial affairs and deal with economic challenges.

Teaching and Learning About Whole Numbers in Primary School

Author : Terezinha Nunes
Publisher : Springer
ISBN 13 : 3319451138
Total Pages : 58 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Teaching and Learning About Whole Numbers in Primary School by : Terezinha Nunes

Download or read book Teaching and Learning About Whole Numbers in Primary School written by Terezinha Nunes and published by Springer. This book was released on 2016-08-29 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished – the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible to compare different approaches to making numbers meaningful in the classroom and contrast the outcomes of these diverse aspects of teaching. The book identifies themes and trends in empirical research on the teaching and learning of whole numbers since the launch of the major journals in mathematics education research in the 1970s. It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation. The analysis of studies on quantitative reasoning reveals classifications of problem types that are related to different cognitive demands and rates of success in both additive and multiplicative reasoning. Three different approaches to quantitative reasoning education illustrate current thinking on teaching problem solving: teaching reasoning before arithmetic, schema-based instruction, and the use of pre-designed diagrams. The book also includes a summary of contemporary approaches to the description of the knowledge of numbers and arithmetic that teachers need to be effective teachers of these aspects of mathematics in primary school. The concluding section includes a brief summary of the major themes addressed and the challenges for the future. The new theoretical framework presented offers researchers in mathematics education novel insights into the differences between empirical studies in this domain. At the same time the description of the two meanings of numbers helps teachers distinguish between the different aims of teaching about numbers supported by diverse methods used in primary school. The framework is a valuable tool for comparing the different methods and identifying the various assumptions about teaching and learning.