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Elementary Preservice Teachers And Elementary Inservice Teachers Knowledge Of Mathematical Modeling
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Book Synopsis Elementary Preservice Teachers' and Elementary Inservice Teachers' Knowledge of Mathematical Modeling by : Sara Schwerdtfeger
Download or read book Elementary Preservice Teachers' and Elementary Inservice Teachers' Knowledge of Mathematical Modeling written by Sara Schwerdtfeger and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This study examined the differences in knowledge of mathematical modeling between a group of elementary preservice teachers and a group of elementary inservice teachers. Mathematical modeling has recently come to the forefront of elementary mathematics classrooms because of the call to add mathematical modeling tasks in mathematics classes through the Common Core State Standards (NGACBP & CCSS, 2010). According to Ellis and Berry (2005), the recommendation for teachers to think differently about teaching mathematics includes more comprehensive knowledge of mathematics continuing beyond rote facts, skills, and procedures. Although preservice teachers and inservice teachers vary in teaching experience, their knowledge in mathematical modeling may be similar as, quite possibly, neither had explicit instruction during their elementary education programs. In learning and teaching mathematics, the modeling approach can be useful by directing the focus on creating generalizable and reusable relations rather than solving a particular problem (Doerr & English, 2003). This survey research, tailored design method employed a brief online survey to a convenience sample of preservice and inservice elementary teachers to gain information about their knowledge of mathematical modeling in the elementary school classroom. For the purposes of this research, the definition of mathematical modeling was applying mathematics to real world problems with the purpose of understanding the problem. This study used non-experimental, survey research to determine if there was a statistical significant difference between preservice teachers' and inservice teachers' knowledge of mathematical modeling. Independent t-tests were used to determine there was no statistical significant difference in elementary preservice teachers and elementary inservice teachers knowledge of mathematical modeling. Another aspect of this research was to determine if any variables were able to predict the preservice or inservice teachers' knowledge of mathematical modeling. Multiple regression was used to determine the variables of years of teaching experience, grade level currently taught, or type of school in which teaching occurs did not have any predictor aspects of knowledge of mathematical modeling. ANOVA was used to determine there was no relationship between preservice and inservice teachers' perceived knowledge of mathematical modeling and their actual knowledge of mathematical modeling.
Book Synopsis Exploring Mathematical Modeling with Young Learners by : Jennifer M. Suh
Download or read book Exploring Mathematical Modeling with Young Learners written by Jennifer M. Suh and published by Springer Nature. This book was released on 2021-06-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives. Mathematical modeling provides a unique opportunity to engage elementary students in the creative process of mathematizing their world. A diverse community of internationally known researchers and practitioners share studies that advance the field with respect to the following themes: The Nature of Mathematical Modeling in the Early Grades Content Knowledge and Pedagogy for Mathematical Modeling Student Experiences as Modelers Teacher Education and Professional Development in Modeling Experts in the field provide commentaries that extend and connect ideas presented across chapters. This book is an invaluable resource in illustrating what all young children can achieve with mathematical modeling and how we can support teachers and families in this important work.
Book Synopsis Lines of Inquiry in Mathematical Modelling Research in Education by : Gloria Ann Stillman
Download or read book Lines of Inquiry in Mathematical Modelling Research in Education written by Gloria Ann Stillman and published by Springer. This book was released on 2019-05-16 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the “balancing act” between developing students’ modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators
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.
Book Synopsis The Effects of a Model Developmental Mathematics Program on Elementary and Middle School Preservice Teachers by : Lindsey N. Gerber
Download or read book The Effects of a Model Developmental Mathematics Program on Elementary and Middle School Preservice Teachers written by Lindsey N. Gerber and published by . This book was released on 2012 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher quality is instrumental in improving student performance. Unfortunately, discrepancies between teacher preparation programs and national and state K-12 student standards have contributed to the difficult task of producing quality teachers. The contemporary mathematics education paradigm used at most colleges and universities relies on instructors transmitting mathematical content knowledge to students through didactic discourse; whereas, research suggests that preservice teachers need to be taught using the types of instruction emphasized in grades K-12 state and national standards-standards-based best practices. The developmental mathematics program at Texas State University implements these standards-based best practices via the Algorithmic Instructional Technique (AIT) and the Concrete to Representational to Abstract (CRA) models, thereby exposing preservice teachers to pedagogy in conjunction with mathematics content. To determine if the Model Developmental Mathematics Program (MDMP) course(s) contribute to preservice teachers' mathematical knowledge for teaching and positive disposition, this study compared elementary and middle school preservice teachers on the MDMP track to those on the College Algebra track. These groups' mathematical knowledge and disposition were compared based on their scores on the Early Indicators of Effective Teachers instrument, a modified Mathematical Knowledge for Teaching (MKT) assessment and a lesson plan writing activity. In addition, the researcher conducted interviews with the participants to evaluate their pedagogical, content, and pedagogical content knowledge and disposition. For further investigation, case study analyses were performed on four selected MDMP track participants.
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.
Book Synopsis Mathematical Modelling Education in East and West by : Frederick Koon Shing Leung
Download or read book Mathematical Modelling Education in East and West written by Frederick Koon Shing Leung and published by Springer Nature. This book was released on 2021-04-26 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents ongoing research and theorizing in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical tradition in China that emphasizes algorithm and computation has now seen a renaissance in mathematical modelling and applications where China has made significant progress with its economy, science and technology. In recent decades, teaching and learning of mathematical modelling as well as contests in mathematical modelling have been flourishing at different levels of education in China. Today, teachers and researchers in China become keener to learn from their colleagues from Western countries and other parts of the world in research and teaching of mathematical modelling and applications. The book provides a dialogue and communication between colleagues from across the globe with new impetus and resources for mathematical modelling education and its research in both West and East with new ideas on modelling teaching and practices, inside and outside classrooms. All authors of this book are members of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), the peak research body into researching the teaching, assessing and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. The book is of interest to researchers, mathematics educators, teacher educators, education administrators, policy writers, curriculum developers, professional developers, in-service teachers and pre-service teachers including those interested in mathematical literacy.
Book Synopsis Learning How to Teach Mathematical Modeling in School and Teacher Education by : Rita Borromeo Ferri
Download or read book Learning How to Teach Mathematical Modeling in School and Teacher Education written by Rita Borromeo Ferri and published by Springer. This book was released on 2017-11-26 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely resource fills a gap in existing literature on mathematical modeling by presenting both theory- and evidence-based ideas for its teaching and learning. The book outlines four key professional competencies that must be developed in order to effectively and appropriately teach mathematical modeling, and in so doing it seeks to reduce the discrepancies between educational policy and educational research versus everyday teaching practice. Among the key competencies covered are: Theoretical competency for practical work. Task competency for instructional flexibility. Instructional competency for effective and quality lessons. Diagnostic competency for assessment and grading. Learning How to Teach Mathematical Modeling in School and Teacher Education is relevant to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for teaching mathematical modeling.
Book Synopsis Forms of Mathematical Knowledge by : Dina Tirosh
Download or read book Forms of Mathematical Knowledge written by Dina Tirosh and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: What mathematics is entailed in knowing to act in a moment? Is tacit, rhetorical knowledge significant in mathematics education? What is the role of intuitive models in understanding, learning and teaching mathematics? Are there differences between elementary and advanced mathematical thinking? Why can't students prove? What are the characteristics of teachers' ways of knowing? This book focuses on various types of knowledge that are significant for learning and teaching mathematics. The first part defines, discusses and contrasts psychological, philosophical and didactical issues related to various types of knowledge involved in the learning of mathematics. The second part describes ideas about forms of mathematical knowledge that are important for teachers to know and ways of implementing such ideas in preservice and in-service education. The chapters provide a wide overview of current thinking about mathematics learning and teaching which is of interest for researchers in mathematics education and mathematics educators. Topics covered include the role of intuition in mathematics learning and teaching, the growth from elementary to advanced mathematical thinking, the significance of genres and rhetoric for the learning of mathematics and the characterization of teachers' ways of knowing.
Book Synopsis Mathematics Teachers Engaging with Representations of Practice by : Orly Buchbinder
Download or read book Mathematics Teachers Engaging with Representations of Practice written by Orly Buchbinder and published by Springer. This book was released on 2018-01-09 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovative approaches and state-of-the-art empirical studies on mathematics teacher learning. It highlights the advantages and challenges of such tools as classroom videos, concept cartoons, simulations, and scenarios. The book details how representations of practice encourage and afford professional development, and describes how these tools help to investigate aspects of teacher expertise, beliefs, and conceptions. In addition, the book identifies the methodological challenges that can emerge and the obstacles educators might encounter when using representations of practice. The book examines the nature of these challenges and provides suggestions for solving them. It offers a variety of different approaches that can help educators to develop professional learning activities for prospective and in-service teachers.
Book Synopsis Eliciting Elementary Preservice Teachers' Mathematical Knowledge for Teaching Using Instructional Tasks that Include Children's Mathematical Thinking by : Lauren Lee Goggins
Download or read book Eliciting Elementary Preservice Teachers' Mathematical Knowledge for Teaching Using Instructional Tasks that Include Children's Mathematical Thinking written by Lauren Lee Goggins and published by ProQuest. This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A challenge that teacher educators face is how to determine if teacher preparation programs provide preservice teachers with opportunities to develop the mathematical knowledge that teachers use in their practice. This qualitative, interpretive study examines the mathematical knowledge for teaching that four preservice teachers exhibited when they engaged in a set of three instructional tasks that included children's mathematical thinking and were designed to replicate the work of teaching mathematics. Each task largely elicits a different kind of mathematical knowledge for teaching from preservice teachers. In addition, the formats of the children's mathematical thinking examples influence the mathematical knowledge for teaching that is elicited from preservice teachers by the complete set of instructional tasks. This study informs teacher educators how instruction in teacher preparation programs and professional development programs can be developed to measure mathematical knowledge for teaching. And, it advances the current understanding of the mathematical knowledge that is needed in the work of teaching mathematics.
Book Synopsis Mathematical Models for Teaching by : Ann Kajander
Download or read book Mathematical Models for Teaching written by Ann Kajander and published by Canadian Scholars’ Press. This book was released on 2014-01-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students of mathematics learn best when taught by a teacher with a deep and conceptual understanding of the fundamentals of mathematics. In Mathematical Models for Teaching, Ann Kajander and Tom Boland argue that teachers must be equipped with a knowledge of mathematics for teaching, which is grounded in modelling, reasoning, and problem-based learning. A comprehensive exploration of models and concepts, this book promotes an understanding of the material that goes beyond memorization and recitation, which begins with effective teaching. This vital resource is divided into 15 chapters, each of which addresses a specific mathematical concept. Focusing on areas that have been identified as problematic for teachers and students, Mathematical Models for Teaching equips teachers with a different type of mathematical understanding-one that supports and encourages student development. Features: grounded in the most current research about teachers' learning contains cross-chapter connections that identify common ideas includes chapter concluding discussion questions that encourage critical thinking incorporates figures and diagrams that simplify and solidify important mathematical concepts offers further reading suggestions for instructors seeking additional information
Book Synopsis The Learning and Teaching of Mathematical Modelling by : Mogens Niss
Download or read book The Learning and Teaching of Mathematical Modelling written by Mogens Niss and published by Routledge. This book was released on 2020-01-16 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes stock of the state of affairs of the teaching and learning of mathematical modelling with regard to research, development and practice. It provides a conceptual framework for mathematical modelling in mathematics education at all education levels, as well as the background and resources for teachers to acquire the knowledge and competencies that will allow them to successfully include modelling in their teaching, with an emphasis on the secondary school level. Mathematics teachers, mathematics education researchers and developers will benefit from this book. Expertly written and researched, this book includes a comprehensive overview of research results in the field, an exposition of the educational goals associated with modelling, the essential components of modelling competency and an extensive discussion of didacticopedagogical challenges in modelling. Moreover, it offers a wide variety of illuminating cases and best-practice examples in addition to insights into the focal points for future research and practice. The Learning and Teaching of Mathematical Modelling is an invaluable resource for teachers, researchers, textbook authors, secondary school mathematics teachers, undergraduate and graduate students of mathematics as well as student teachers.
Book Synopsis TALIS Creating Effective Teaching and Learning Environments First Results from TALIS by : OECD
Download or read book TALIS Creating Effective Teaching and Learning Environments First Results from TALIS written by OECD and published by OECD Publishing. This book was released on 2009-07-21 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication is the first report from the OECD’s Teaching and Learning International Survey (TALIS). It provides quantitative, policy-relevant information on the teaching and learning environment in schools in 23 countries.
Book Synopsis The Mathematics Education of Elementary Teachers by : Lynn C. Hart
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.
Book Synopsis Mathematics Teachers in Transition by : Elizabeth Fennema
Download or read book Mathematics Teachers in Transition written by Elizabeth Fennema and published by Routledge. This book was released on 2013-04-03 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the need of professional development leaders and policymakers for scholarly knowledge about influencing teachers to modify mathematical instruction to bring it more in alignment with the recommendations of the current reform movement initiated by the National Council of Teachers of Mathematics. The book presents: * theoretical perspectives for studying, analyzing, and understanding teacher change; * descriptions of contextual variables to be considered as one studies and attempts to understand teacher change; and * descriptions of professional development programs that resulted in teacher change. One chapter builds a rationale for looking to developmental psychology for guidance in constructing models of reconstructing new forms of mathematical instruction. Another highlights the relevance to mathematics teacher development of research-based knowledge about how children construct mathematical ideas. Other chapters explore the relationships between the various contexts of schooling and instructional change. Included also are chapters that describe and analyze major reform efforts designed to assist teachers in modifying their instructional practices (Cognitively Guided Instruction, Math-Cubed, Project Impact, Mathematics in Context, and the Case-Based Project). Finally, the current state of knowledge about encouraging teachers to modify their instruction is discussed, the implications of major research and implementation findings are suggested, and some of the major questions that need to be addressed are identified, such as what we have learned about teacher change.
Book Synopsis Beliefs: A Hidden Variable in Mathematics Education? by : G.C. Leder
Download or read book Beliefs: A Hidden Variable in Mathematics Education? written by G.C. Leder and published by Springer Science & Business Media. This book was released on 2005-12-28 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.
