Opportunities Provided In Mathematics Methods Textbooks For Pre Service Teachers To Develop Mathematical Knowledge For Teaching Fractions

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Opportunities Provided in Mathematics Methods Textbooks for Pre-service Teachers to Develop Mathematical Knowledge for Teaching Fractions

Author : Irem Ercan
Publisher :
ISBN 13 :
Total Pages : 179 pages
Book Rating : 4.:/5 (127 download)

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Book Synopsis Opportunities Provided in Mathematics Methods Textbooks for Pre-service Teachers to Develop Mathematical Knowledge for Teaching Fractions by : Irem Ercan

Download or read book Opportunities Provided in Mathematics Methods Textbooks for Pre-service Teachers to Develop Mathematical Knowledge for Teaching Fractions written by Irem Ercan and published by . This book was released on 2020 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: I explored using qualitative content analysis what type of opportunities in mathematics methods textbooks are provided for pre-service elementary teachers to develop Mathematical Knowledge for Teaching Fractions (MKTF). Specifically, I examined all fractions tasks that are located in fraction chapters of mathematics methods textbooks in order to explore the ways they support pre-service teachers’ Subject Matter Knowledge and Pedagogical Content Knowledge of fractions. I used qualitative content analysis of three mathematics methods textbooks to analyze how MKTF is offered for pre-service elementary teachers. In particular, I investigated the chapters that are designated to fraction concepts using both deductive and inductive approaches in developing a framework with the guide of the Domains of MKT (Ball et al., 2008). First, I used a deductive approach to generate main categories and subcategories of the framework, and then I continued to develop the framework inductively based on the fraction concepts presented in three mathematics methods textbooks. Finally, I used the developed framework to examine the extent to which fraction concepts presented in three textbooks provide opportunities for pre-service teachers to gain/enhance their MKTF. After analyzing the fraction chapters of the three mathematics method textbooks, I was able to discover that pre-service teachers are offered various types of opportunities to develop mathematical knowledge for teaching fractions through the fraction tasks given in those chapters. Findings revealed that all three methods textbooks offer the greatest opportunities for pre-service teachers to develop Subject Matter Knowledge. The greatest number of tasks in each textbook required pre-service teachers to possess Common Content Knowledge, followed by Specialized Content Knowledge. The results indicated that fraction tasks in mathematics methods textbooks provide only limited opportunities for pre-service teachers to improve Pedagogical Content Knowledge. The results of this inquiry contribute to teacher education, where pre-service teachers should be offered opportunities to learn fraction concepts and how to teach fractions.

Teaching Fractions and Ratios for Understanding

Author : Susan J. Lamon
Publisher : Routledge
ISBN 13 : 1135606781
Total Pages : 254 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Teaching Fractions and Ratios for Understanding by : Susan J. Lamon

Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2006-08-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.

A Focus on Fractions

Author : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 1317597303
Total Pages : 208 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis A Focus on Fractions by : Marjorie M. Petit

Download or read book A Focus on Fractions written by Marjorie M. Petit and published by Routledge. This book was released on 2015-07-24 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Focus on Fractions is a groundbreaking effort to make the mathematics education research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K– 8 mathematics educators. Using extensive annotated samples of student work, as well as vignettes characteristic of classroom teachers’ experiences, this book equips educators with the knowledge and tools to reveal students’ thinking so that they can modify their teaching and improve student learning of fraction concepts. A Focus on Fractions 2nd edition includes sections on the Common Core State Standards for Mathematics and the Ongoing Assessment Project (OGAP) Fraction Framework integrated into each chapter as well as a new chapter on the OGAP Fraction Progression and how it can be used for formative assessment purposes. This updated edition assists teachers in translating research findings into their classroom practice by conveying detailed information about how students develop fraction understandings. Additional images and examples serve to flesh out and supplement the newly-introduced concepts in this updated and expanded edition. Special Features: Looking Back Questions at the end of each chapter provide teachers the opportunity to analyze student thinking and consider instructional strategies for their own students. Instructional Links help teachers relate concepts from the chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of fractions. Answer Key posted online offers extensive explanations of in-chapter questions. New sections devoted to the CCSSM and OGAP Fraction Progression are woven throughout the book as well as a new stand alone chapter on the OGAP Fraction Progression. The OGAP Fraction Framework is an all-new eResource, now available as a free download from the book’s website: www.routledge.com/9781138816442.

A Focus on Fractions

Author : Marjorie M. Petit
Publisher : Taylor & Francis
ISBN 13 : 1000601994
Total Pages : 231 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis A Focus on Fractions by : Marjorie M. Petit

Download or read book A Focus on Fractions written by Marjorie M. Petit and published by Taylor & Francis. This book was released on 2022-07-29 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression—based on research conducted with hundreds of teachers—to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction; A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A discussion of decimal fractions, also new to the third edition; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression. A Focus on Fractions is part of the popular A Focus on . . . collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

A Focus on Fractions

Author : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 1136998098
Total Pages : 264 pages
Book Rating : 4.1/5 (369 download)

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Book Synopsis A Focus on Fractions by : Marjorie M. Petit

Download or read book A Focus on Fractions written by Marjorie M. Petit and published by Routledge. This book was released on 2010-06-10 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Focus on Fractions is the first book to make cognitive research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K– 8 mathematics educators. This important resource assists teachers in translating research findings into their classroom practice by conveying detailed information about how students develop fraction understandings as well as common student misconceptions, errors, preconceptions, and partial understandings that may interfere with students learning. Using extensive annotated samples of student work, as well as vignettes characteristic of classroom teachers’ experiences, this book equips educators with knowledge and tools to reveal students’ thinking so that they can modify their teaching to improve student learning of fractions concepts. Special Features: End of Chapter Questions provide teachers the opportunity to analyze student thinking and consider instructional strategies for their own students. Instructional Links help teachers relate concepts from the chapter to their own instructional materials and programs. Big Ideas and Research Reviews frame the chapters and provide a platform for meaningful exploration of the teaching of fractions. Answer Key posted online offers extensive explanations of in-chapter questions. A Focus on Fractions bridges the gap between what mathematics education researchers have discovered about the learning of fraction concepts and what teachers need to know to make effective instructional decisions.

Developing and Using Mathematical Knowledge for Teaching Fractions

Author : Leigh A. Van den Kieboom
Publisher :
ISBN 13 :
Total Pages : 866 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Developing and Using Mathematical Knowledge for Teaching Fractions by : Leigh A. Van den Kieboom

Download or read book Developing and Using Mathematical Knowledge for Teaching Fractions written by Leigh A. Van den Kieboom and published by . This book was released on 2008 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching to the Math Common Core State Standards

Author : F. D. Rivera
Publisher : Springer Science & Business Media
ISBN 13 : 9462095035
Total Pages : 189 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis Teaching to the Math Common Core State Standards by : F. D. Rivera

Download or read book Teaching to the Math Common Core State Standards written by F. D. Rivera and published by Springer Science & Business Media. This book was released on 2014-02-05 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a methods book for elementary majors and preservice/beginning elementary teachers. It takes a very practical approach to learning to teach elementary school mathematics in an emerging Age of the Common Core State Standards. The Common Core State Standards in Mathematics (CCSSM) is not meant to be “the” official mathematics curriculum; it was purposefully developed primarily to provide clear learning expectations of mathematics content that are appropriate at every grade level and to help prepare all students to be ready for college and the workplace. A quick glance at the Table of Contents in this book indicates a serious engagement with the recommended mathematics underlying the kindergarten through grade 5 portions of the CCSSM first, with issues in content-practice assessment, learning, teaching, and classroom management pursued next and in that order. In this book we explore what it means to teach to the CCSSM within an alignment mindset involving content-practice learning, teaching, and assessment. The CCSSM content standards, which pertain to mathematical knowledge, skills, and applications, have been carefully crafted so that they are teachable, learnable, coherent, fewer, clearer, and higher. The practice standards, which refer to institutionally valued mathematical actions, processes, and habits, have been conceptualized in ways that will hopefully encourage all elementary students to engage with the content standards more deeply than merely acquiring mathematical knowledge by rote and imitation. Thus, in the CCSSM, proficiency in content alone is not sufficient, and so does practice without content, which is limited. Content and practice are both equally important and, thus, must come together in teaching, learning, and assessment in order to support authentic mathematical understanding. This blended, multisourced text is a “getting smart” book. It helps elementary majors and preservice/beginning elementary teachers work within the realities of accountable pedagogy and develop a proactive disposition that is capable of supporting all elementary students in order for them to experience growth in mathematical understanding necessary for middle school and beyond, including future careers.

Strategies for Teaching Fractions

Author : David B. Spangler
Publisher : Corwin Press
ISBN 13 : 1452269149
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 describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Aligned with NCTM and Common Core State Standards, the research-based, targeted interventions for each error pattern promoted teaching for conceptual understanding. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Teacher resources for hands-on activities, game sheets and pieces, and more

Lesson Study Research and Practice in Mathematics Education

Author : Lynn C. Hart
Publisher : Springer Science & Business Media
ISBN 13 : 9048199417
Total Pages : 293 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Lesson Study Research and Practice in Mathematics Education by : Lynn C. Hart

Download or read book Lesson Study Research and Practice in Mathematics Education written by Lynn C. Hart and published by Springer Science & Business Media. This book was released on 2011-01-11 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lesson study is a professional development process that teachers engage in to systematically examine their practice, with the goal of becoming more effective. Originating in Japan, lesson study has gained significant momentum in the mathematics education community in recent years. As a process for professional development, lesson study became highly visible when it was proposed as a means of supporting the common practice of promoting better teaching by disseminating documents like standards, benchmarks and nationally validated curricula. While the body of knowledge about lesson study is growing, it remains somewhat elusive and composed of discrete research endeavors. As a new research area there is no coherent knowledge base yet. This book will contribute to the field bringing the work of researchers and practitioners together to create a resource for extant work. This book describes several aspects of Lesson Study, amongst others: it gives an historical overview of the concept, it addresses issues related to learning and teaching mathematics, it looks at the role of the teacher in the process. The last two sections of the book look at how lesson Study can be used with preservice mathematics teachers and at university mathematics methods teaching.

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.

Knowing and Learning Mathematics for Teaching

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309072522
Total Pages : 233 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Knowing and Learning Mathematics for Teaching by : National Research Council

Download or read book Knowing and Learning Mathematics for Teaching written by National Research Council and published by National Academies Press. This book was released on 2001-02-25 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.

Unpacking Fractions

Author : Monica Neagoy
Publisher : ASCD
ISBN 13 : 1416621253
Total Pages : 301 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Unpacking Fractions by : Monica Neagoy

Download or read book Unpacking Fractions written by Monica Neagoy and published by ASCD. This book was released on 2017-03-10 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it's imperative for us to take a closer look at how we teach fractions: Fractions play a key role in students' feelings about mathematics. Fractions are fundamental to school math and daily life. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of "algebra for all" will not be possible until "fractions for all" is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

Children's Fractional Knowledge

Author : Leslie Steffe
Publisher : Springer
ISBN 13 : 9781489984661
Total Pages : 0 pages
Book Rating : 4.9/5 (846 download)

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Book Synopsis Children's Fractional Knowledge by : Leslie Steffe

Download or read book Children's Fractional Knowledge written by Leslie Steffe and published by Springer. This book was released on 2014-09-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children’s Fractional Knowledge elegantly tracks the construction of knowledge, both by children learning new methods of reasoning and by the researchers studying their methods. The book challenges the widely held belief that children’s whole number knowledge is a distraction from their learning of fractions by positing that their fractional learning involves reorganizing—not simply using or building upon—their whole number knowledge. This hypothesis is explained in detail using examples of actual grade-schoolers approaching problems in fractions including the schemes they construct to relate parts to a whole, to produce a fraction as a multiple of a unit part, to transform a fraction into a commensurate fraction, or to combine two fractions multiplicatively or additively. These case studies provide a singular journey into children’s mathematics experience, which often varies greatly from that of adults. Moreover, the authors’ descriptive terms reflect children’s quantitative operations, as opposed to adult mathematical phrases rooted in concepts that do not reflect—and which in the classroom may even suppress—youngsters’ learning experiences. Highlights of the coverage: Toward a formulation of a mathematics of living instead of being Operations that produce numerical counting schemes Case studies: children’s part-whole, partitive, iterative, and other fraction schemes Using the generalized number sequence to produce fraction schemes Redefining school mathematics This fresh perspective is of immediate importance to researchers in mathematics education. With the up-close lens onto mathematical development found in Children’s Fractional Knowledge, readers can work toward creating more effective methods for improving young learners’ quantitative reasoning skills.

Enhancing Pre-service Teachers' Knowledge of Fractions Through the Model Method

Author : Miran Byun
Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (931 download)

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Book Synopsis Enhancing Pre-service Teachers' Knowledge of Fractions Through the Model Method by : Miran Byun

Download or read book Enhancing Pre-service Teachers' Knowledge of Fractions Through the Model Method written by Miran Byun and published by . This book was released on 2015 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study examined the effects of the (Singapore) Model Method on elementary pre-service teachers' understanding fractions and attitudes toward teaching and learning mathematics. In particular, this study focused on fraction operation concepts in solving word problems. The study involved thirty-four elementary pre-service teachers enrolled in two sections of mathematics content and methods courses in the Teacher Education Program in a Midwestern public university. This study used quantitative data from an experimental design using an instructional intervention (Model Method). The instruments for data collection included a demographic questionnaire, mathematics attitude survey, fraction computation test, and fraction word problem test. To attain additional information for the instructional intervention and to verify the findings of the quantitative data, open- ended interviews were conducted. Quantitative data were analyzed using descriptive and inferential statistical methods, including MANOVA, ANCOVA and correlation analysis. The treatment group received six intensive lessons to learn fraction operation from word problems with a focus on the Model Method while the control group had traditional lessons with the same topics and materials. The findings show that using the Model Method in teaching fraction operation concepts helps the pre-service teachers to improve their conceptual understanding in solving word problems. After the Model Method instruction, an attitude survey and interviews were used and indicated that the experimental group had more positive attitudes and increased confidence and liking toward teaching and learning mathematics than the control group. Furthermore, the correlation analysis shows that the correlation between the pre-service teachers' fraction knowledge in solving word problems and computational problems was strong. This result indicates that higher conceptual knowledge can predict a higher level of procedural knowledge in fraction operations. The findings suggest that the Model Method is an effective teaching method to enhance students' fractional knowledge in learning problem-solving.

Putting Essential Understanding of Fractions Into Practice in Grades 3-5

Author : Kathryn Bouchard Chval
Publisher :
ISBN 13 : 9780873537322
Total Pages : 148 pages
Book Rating : 4.5/5 (373 download)

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Book Synopsis Putting Essential Understanding of Fractions Into Practice in Grades 3-5 by : Kathryn Bouchard Chval

Download or read book Putting Essential Understanding of Fractions Into Practice in Grades 3-5 written by Kathryn Bouchard Chval and published by . This book was released on 2013 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking? This book focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.

Educating Prospective Secondary Mathematics Teachers

Author : Marilyn E. Strutchens
Publisher : Springer
ISBN 13 : 3319910590
Total Pages : 324 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Educating Prospective Secondary Mathematics Teachers by : Marilyn E. Strutchens

Download or read book Educating Prospective Secondary Mathematics Teachers written by Marilyn E. Strutchens and published by Springer. This book was released on 2018-06-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights innovative approaches to preparing secondary mathematics teachers. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for preparing secondary mathematics teachers, and discusses issues related to their professional and personal growth, such as identity, content knowledge, and pedagogical content knowledge which also includes knowledge of integrating technology into teaching and learning mathematics. Divided into four parts, the book focuses on field experiences, technologies, tools and resources, teacher knowledge, and teacher professional identities. Some of the main threads running through the book are: the importance of university and school partners working together to ensure preservice secondary mathematics teacher’ success in developing pedagogical strategies that lead toward students’ mathematical engagement and achievement; the critical need for preservice secondary mathematics teachers to develop strong content knowledge and pedagogical content knowledge; and the importance of providing opportunities, during pre-service education, for developing prospective teachers ́professional identities.

Developing Fractions Knowledge

Author : Amy J. Hackenberg
Publisher : SAGE
ISBN 13 : 147398761X
Total Pages : 343 pages
Book Rating : 4.4/5 (739 download)

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Book Synopsis Developing Fractions Knowledge by : Amy J. Hackenberg

Download or read book Developing Fractions Knowledge written by Amy J. Hackenberg and published by SAGE. This book was released on 2016-07-21 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly. These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.