Download or read book Approaches to Teaching Mathematics Content to Prospective Elementary Teachers written by James Edward Schultz and published by . This book was released on 1971 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics Content for Elementary Teachers written by Douglas K. Brumbaugh and published by Routledge. This book was released on 2004-09-22 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.
Download or read book Diversifying Mathematics Teaching Advanced Educational Content And Methods For Prospective Elementary Teachers written by Sergei Abramovich and published by World Scientific. This book was released on 2017-02-24 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'What one takes away from this book is the notion that there’s a lot of potential to do more with these students, and the book stands as a resource for anyone who shares that opinion … Books like Abramovich’s are a welcome addition to our options as we try to do our best by these students, and by extension, their future students.'MAA ReviewsThe book is written to enhance the preparation of elementary teacher candidates by offering teaching ideas conducive to the development of deep understanding of concepts fundamental to the mathematics curriculum they are to teach. It intends to show how the diversity of teaching methods stems from the knowledge of mathematics content and how the appreciation of this diversity opens a window to the teaching of extended content.The book includes material that the author would have shared with teacher candidates should there have been more instructional time than a 3 credit hour master's level course, 'Elementary Mathematics: Content and Methods', provides. Thus the book can supplement a basic textbook for such a course by extending content and diversifying methods.Also, the book can support graduate level mathematics education programs which have problem-solving seminars/courses in their curriculum. The book is well-informed with (available in English) the mathematical standards and recommendations for teachers from Australia, Canada, Chile, England, Japan, Korea, Singapore, and the United States.
Download or read book Relearning Mathematics written by Rina Zazkis and published by IAP. This book was released on 2011-08-01 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is grounded in the author’s experiences of teaching mathematics for prospective elementary school teachers and conducting research on their understanding of mathematical concepts. It is a reflection on practice and an attempt to cope with a double challenge: that of a teacher, in helping prospective teachers make sense of mathematics, and that of a researcher, in an attempt to understand and describe the challenges faced by students. This work fits within the current community interest on teacher education and provides a novel focus, with both theoretical and practical considerations. The central claim in this book is that encounters with mathematical content by prospective elementary school teachers constitute relearning, rather than learning, of mathematics. The specific focus is on topics related to elementary number theory (e.g. divisibility, prime factorization), which is referred to as a “forgotten queen” (following Gauss’ reference to number theory as a queen of mathematics). This is the content area that has not received significant attention in mathematics education research. The book can be summarized as an attempt to address the following questions: What is relearning of mathematical content and how is it similar to or different from learning? What are the examples of specific mathematical topics or concepts that require relearning? What pedagogical approaches can support relearning? The detailed analysis of research data and pedagogical approaches presented in the book are intertwined with stories of personal experiences of the author, which makes the reading not only intellectually stimulating but also enjoyable.
Download or read book The Mathematics Education of Elementary Teachers written by Lynn C. Hart and published by IAP. This book was released on 2016-07-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an edited volume addressing specific issues of significance for individuals involved with the undergraduate mathematics content preparation of prospective elementary teachers (PSTs). Teaching mathematics content courses to this group of students presents unique challenges. While some PSTs enter their teacher preparation with weak mathematical skills and knowledge, many also hold negative attitudes, anxiety, and misguided beliefs about mathematics. This book is designed to support instructors who teach these students in mathematics content for elementary teachers courses. Elementary teachers need a richly developed understanding of the mathematics they are teaching in order to teach it effectively. Providing them with the needed preparation is difficult, but can be eased with a solid understanding of the mathematical concerns and limitations PSTs bring to the learning of mathematics and a familiarity with the standards and curricula topics PSTs will be expected to teach. Chapter One makes the argument that elementary mathematics is not trivial. This is followed by an analysis of four central issues related to the mathematical preparation of elementary teachers, specifically: (1) selecting/creating/modifying and implementing mathematical tasks (2) noticing/understanding children’s ways of thinking as a foundation for learning mathematics, (3) developing mathematical habits of mind in PSTs, and (4) understanding the role affect plays in the mathematical learning of PSTs. The final chapter presents three international examples of programs that currently consider these factors in the implementation of their courses.
Download or read book Mathematics Content for Elementary Teachers written by Douglas K. Brumbaugh and published by Routledge. This book was released on 2004-09-22 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.
Download or read book Specialized Understanding of Mathematics written by Margaret Viola Moss and published by . This book was released on 2006 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation study informs the field on how, when and where a specialized understanding of math (SUM) might be developed within a teacher education program by focusing on the three following research questions and related methodology. 1) What are the strengths and weaknesses in prospective elementary teacher's specialized understanding of mathematics as they enter their mathematics methods course? The Number and Operation and Geometry items from the Content Knowledge for Teaching Mathematics instruments, which have been developed at The University of Michigan's Learning Mathematics for Teaching Project, were administered to 244 prospective elementary teachers at four universities during the first two weeks of the mathematics methods course. An item analysis sheds light on areas of strengths and weaknesses, and a statistical analysis was conducted to see any relationships between content understanding and quantity and type of content courses. A relationship was found between participants who took specialized content courses and the pretest scores. Another interesting finding was that simply taking more mathematics content courses is not related to higher scores. 2) Does the specialized understanding of mathematics change as they take the mathematics methods course? The CKTM items were administered as a post test during the last two weeks of the methods course and compared with the pre test to look at changes, both as a paired samples t test and an item analysis. Growth in SUM was found between the pretest and posttest. 3) What learning opportunities during the methods course may improve the specialized understanding of mathematics of prospective elementary teachers? Interviews were conducted with mathematics methods instructors who saw significant growth on specific items. The general philosophy of the course, as well as specific learning opportunities that may have helped understanding in the specific items that saw growth were explored, and a framework was created of learning opportunities that may impact understanding of mathematics. The learning opportunities that seem to add to improved SUM include readings, communication, experiencing children's mathematical thinking, mathematics activities, manipulatives, and field experiences.
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.
Download or read book Building Support for Scholarly Practices in Mathematics Methods written by Signe E. Kastberg and published by IAP. This book was released on 2017-09-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building Support for Scholarly Practices in Mathematics Methods is the product of collaborations among over 40 mathematics teacher educators (MTEs) who teach mathematics methods courses for prospective PreK?12 teachers in many different institutional contexts and structures. Each chapter unpacks ways in which MTEs use theoretical perspectives to inform their construction of goals, activities designed to address those goals, facilitation of activities, and ways in which MTEs make sense of experiences prospective teachers have as a result. The book is organized in seven sections that highlight how the theoretical perspective of the instructor impacts scholarly inquiry and practice. The final section provides insight as we look backward to reflect, and forward with excitement, moving with the strength of the variation we found in our stories and the feeling of solidarity that results in our understandings of purposes for and insight into teaching mathematics methods. This book can serve as a resource for MTEs as they discuss and construct scholarly practices and as they undertake scholarly inquiry as a means to systematically examine their practice.
Download or read book Mathematics for Elementary Teachers A Conceptual Approach written by Laurie Burton and published by McGraw-Hill Higher Education. This book was released on 2015-01-23 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tenth edition of Mathematics for Elementary Teachers: A Conceptual Approach continues the innovative time-tested approach of the previous editions: an emphasis on learning via specific, realistic examples and the extensive use of visual aids, hands-on activities, problem-solving strategies and active classroom participation. Features of the text focus on ensuring that prospective teachers will gain not only a deeper understanding of the mathematical concepts, but also a better sense of the connections between their college math courses and their future teaching experiences, along with helpful ideas for presenting math to their students in a way that will generate interest and enthusiasm. The text draws heavily on Common Core Standards and contains many pedagogical elements designed to foster reasoning, problem-solving and communication skills. Additionally, this text can be packaged with an activity set that corresponds to each section of the companion text, Mathematics for Elementary Teachers: An Activity Approach, also by the Bennett, Burton, and Nelson team. Mathematics for Elementary Teachers: An Activity Approach can be used independently or along with its companion, Mathematics for Elementary Teachers: A Conceptual Approach.
Download or read book Reflecting the World written by Mathew D. Felton?Koestler and published by IAP. This book was released on 2017-02-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflecting the World: A Guide to Incorporating Equity in Mathematics Teacher Education is a guide for mathematics teacher educators interested in incorporating equity concerns into their teaching. The book draws on the authors’ research and experience integrating issues of equity, diversity, and social justice into their work as mathematics teacher educators of preservice and inservice preK?9 teachers. Reflecting the World includes both a framework for integrating issues of equity into mathematics teacher education courses and professional development and example lessons. The lessons are organized by content area and include guidance for using them effectively. Elementary and middle grades pre?service teachers are often uncomfortable with mathematics, uncertain about their ability to teach it, and unsure of how it connects to the real world. For many preservice teachers a focus on the real world—and in particular on issues of equity, diversity, and social justice—is more engaging than their past experiences with mathematics and can help lessen their mathematical anxieties. Reflecting the World will assist teacher educators in designing and teaching mathematics content and methods courses in ways that support future teachers to see the relevance of mathematics to our world and in becoming critical, questioning citizens in an increasingly mathematical world. The book provides a set of tools for helping future teachers connect mathematics to the lives, interests, and political realities of an increasingly diverse student body, and in doing so it provides a meaningful answer to the question, “when will I ever use this?”
Download or read book The Handbook of Mathematics Teacher Education Volume 1 written by and published by BRILL. This book was released on 2008-01-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge and Beliefs in Mathematics Teaching and Teaching Development addresses the “what” of mathematics teacher education, meaning knowledge for mathematics teaching and teaching development and consideration of associated beliefs.
Download or read book Answers to Your Biggest Questions About Teaching Elementary Math written by John J. SanGiovanni and published by Corwin Press. This book was released on 2021-08-31 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your guide to grow and learn as a math teacher! Let’s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally “delivers knowledge” to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom: 1. How do I build a positive math community? 2. How do I structure, organize, and manage my math class? 3. How do I engage my students in math? 4. How do I help my students talk about math? 5. How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey?
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.
Download or read book A Problem Solving Approach to Mathematics for Elementary School Teachers written by Rick Billstein and published by Pearson. This book was released on 2019-01-02 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: For courses in Math for Future Elementary Teachers. A concept-rich, skill-based approach to preparing outstanding elementary math teachers A Problem Solving Approach to Mathematics for Elementary School Teachers not only helps students learn the math - it provides an invaluable reference to future teachers by including professional development features and discussions of today's standards. Revised throughout to prepare students more effectively for their own classrooms, the 13th Edition gives instructors a variety of approaches to teaching, and encourages discussion and collaboration among students and with their instructors. The MyLab(tm) Math course for this revision is updated extensively with new resources and features. The Common Core Standards are used in the text to highlight concepts. The National Council of Teachers of Mathematics (NCTM) publications, Principles and Standards of School Mathematics (2000) and Principles to Actions: Ensuring Mathematical Success for All (2014) are reflected throughout. Also available with MyLab Math By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math, search for: 0135261686 / 9780135261682 A Problem Solving Approach to Mathematics for Elementary School Teachers - Access Card Package Package consists of: 013518388X / 9780135183885 A Problem Solving Approach to Mathematics for Elementary School Teachers 0135190053 / 9780135190050 MyLab Math with Pearson eText - Standalone Access Card - for A Problem Solving Approach to Mathematics for Elementary School Teachers
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Download or read book What Counts in Teaching Mathematics written by Sandy Schuck and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, internationally recognised scholars and practitioners synthesise current practice and research developments in the area of mathematics teacher education and mathematics education. The book’s two sections examine the role and significance of collaborations and critical friends in the self-study of mathematics teaching and teacher education; and the emerging conflicts, dilemmas and incongruities arising from the study of mathematics education practices. The book considers the insights gained from self-analysis regarding the practitioner themselves, as well as their pedagogical content, students and approaches. The contributions highlight the complexity, characteristics and features of mathematics education. The chapters reveal nuances in teaching and learning that are of particular relevance in mathematics education. In addition, the book contains ideas and suggestions on how to enhance the teaching of mathematical content to pre-service teachers. Accordingly, the book appeals to a wide audience of educators—including education academics, teachers, student teachers and researchers. As teacher educators involved in mathematics education, reflection on practice and engagement in practitioner research is becoming increasingly important in our efforts to enhance our teaching. Teachers and student teachers also gain from the insights arising from such reflection. The knowledge and experience encapsulated in this book provides much for the mathematics education community to build on.
