Exploring Mathematical Modeling With Young Learners

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Exploring Mathematical Modeling with Young Learners

Jennifer M. Suh,Megan H. Wickstrom,Lyn D. English
Exploring Mathematical Modeling with Young Learners Book PDF

Author : Jennifer M. Suh,Megan H. Wickstrom,Lyn D. English
Publisher : Springer Nature
Page : 440 pages
File Size : 46,9 Mb
Release : 2021-06-01
Category : Education
ISBN : 9783030639006

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Exploring Mathematical Modeling with Young Learners by Jennifer M. Suh,Megan H. Wickstrom,Lyn D. English Pdf

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.

Modeling Students' Mathematical Modeling Competencies

Richard Lesh,Peter L. Galbraith,Christopher R. Haines,Andrew Hurford
Modeling Students Mathematical Modeling Competencies Book PDF

Author : Richard Lesh,Peter L. Galbraith,Christopher R. Haines,Andrew Hurford
Publisher : Springer Science & Business Media
Page : 635 pages
File Size : 51,7 Mb
Release : 2013-03-17
Category : Education
ISBN : 9789400762718

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Modeling Students' Mathematical Modeling Competencies by Richard Lesh,Peter L. Galbraith,Christopher R. Haines,Andrew Hurford Pdf

Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

Splash!

Virginia Caine Tonneson
Splash Book PDF

Author : Virginia Caine Tonneson
Publisher : Routledge
Page : 126 pages
File Size : 53,5 Mb
Release : 2021-09-23
Category : Education
ISBN : 9781000503449

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Splash! by Virginia Caine Tonneson Pdf

Splash! is a mathematics unit for high-ability learners in kindergarten and first grade focusing on concepts related to linear measurement, the creativity elements of fluency and flexibility, and the overarching, interdisciplinary concept of models. The unit consists of 13 lessons centered on the idea of designing a community pool. Students examine the question of why we measure, the importance of accuracy in measurement, and the various units and tools of measurement. The unit presents a hands-on, constructivist approach, allowing children to build their knowledge base and their skills as they explore mathematical ideas through play and planned investigations. Students are involved in creative and critical thinking, problem solving, process skill development, and communication. Grades K-1

Advancing and Consolidating Mathematical Modelling

Gilbert Greefrath,Susana Carreira,Gloria Ann Stillman
Advancing and Consolidating Mathematical Modelling Book PDF

Author : Gilbert Greefrath,Susana Carreira,Gloria Ann Stillman
Publisher : Springer Nature
Page : 347 pages
File Size : 45,5 Mb
Release : 2023-04-18
Category : Education
ISBN : 9783031271151

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Advancing and Consolidating Mathematical Modelling by Gilbert Greefrath,Susana Carreira,Gloria Ann Stillman Pdf

This edited volume presents applications and modelling as a world-renowned sub-field of research in mathematics education. It includes the discussion on students’ development of modelling competency through the teaching of applications and modelling. The teaching of mathematical modelling is considered from different perspectives, such as mathematical, pedagogical-didactical perspectives and critical-societal or socio-political perspectives. Assessment practices (local, regional or international) of modelling activities and difficulties with modelling activities at school and university levels, respectively, are discussed. Use of technology and other resources in modelling activities and their impact on the modelling processes are included in the considerations. Teaching practices, teacher education and professional development programs concerning the integration of applications and modelling in school and university mathematics programs are developed in this context.

Mathematical Modelling

Ngan Hoe Lee,Dawn Kit Ee Ng
Mathematical Modelling Book PDF

Author : Ngan Hoe Lee,Dawn Kit Ee Ng
Publisher : World Scientific
Page : 256 pages
File Size : 40,7 Mb
Release : 2015-01-19
Category : Mathematics
ISBN : 9789814546935

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Mathematical Modelling by Ngan Hoe Lee,Dawn Kit Ee Ng Pdf

This book documents the journey undertaken by educators from the Mathematics and Mathematics Education (MME) Academic Group in the National Institute of Education (NIE) and Singapore schools during a Mathematical Modelling Outreach (MMO) event in June 2010 under the guidance of renowned experts in the field of mathematical modelling. The main goal of MMO was to reach out to Singapore primary and secondary schools and introduce the potentials of mathematical modelling as a platform for eliciting mathematical thinking, communication, and reasoning among students. This book contributes to the expanding literature on mathematical modelling by offering voices from the Singaporean context. It suggests how theoretical perspectives on mathematical modelling can be transformed into actual practice in schools, all within the existing infrastructure of the current Singapore mathematics curriculum. More importantly, the book provides documentary evidence on how plans put in place through MMO in 2010 have since been realised. The publication of this book is hence timely at this juncture. Not only does the book record how MMO was among the first pebbles launched into the pond, it also serves as a bridge over which educators can stand upon to view how the ripple effect had developed from the initial MMO pebble and the directions it may continue to extend. Perhaps in the process, other ripples in the teaching, learning, and research of mathematical modelling can be created. Contents:Introduction: Mathematical Modelling Outreach in Singapore (NG Kit Ee Dawn and LEE Ngan Hoe)Setting the Stage for Mathematical Modelling in Schools:Promotion of Mathematical Modelling Competencies in the Context of Modelling Projects (Gabriele KAISER and Susanne GRÜNEWALD)Problem Finding and Problem Posing for Mathematical Modelling (Gloria STILLMAN)Mathematical Modelling in Singapore Schools: A Framework for Instruction (ANG Keng Cheng)Mathematical Modelling in Australia (Vincent GEIGER)Mathematical Modelling in Japan (Toshikazu IKEDA)Fostering Mathematical Modelling in Schools:Learning through Modelling in the Primary Years (Lyn D ENGLISH)Fostering Mathematical Modelling in Secondary Schools (Gloria STILLMAN)Mathematical Modelling — An Example from an Inter-School Modelling Challenge (Raymond BROWN, Trevor REDMOND, Joanne SHEEHY and Dawn LANG)Mathematical Learning through Modelling Tasks:Learning through "Designing a Café" (YEO Kai Kow Joseph)Learning through "Plane Punctuality" (HO Weng Kin)Learning through "Mobile Phone Plan" (CHENG Lu Pien and CHUA Kwee Gek)Learning through "The Best Paper Plane" (SOON Wan Mei Amanda, CHIOK Hwee Fen and KONG May Hua Maybelline)Learning through "Designing a Tent" (HO Siew Yin)Learning through "Dream Home" (CHAN Chun Ming Eric)Learning through "The Unsinkable Titanic" (JAGUTHSING Dindyal and FOO Him Ho) Readership: Graduate students and researchers in mathematics education; mathematics educators. Keywords:Mathematical Modelling;Mathematical Modelling in Singapore;Modelling Competencies;Model-Eliciting Tasks;Modelling Research;Modelling Projects;Theoretical Perspectives on Mathematical Modelling;Modelling framework;Teacher Education in Mathematical ModellingKey Features:This book discusses the use of mathematical modelling activities for teaching and learning in Singapore classrooms, drawing upon experiences from other countriesIt provides focused discussions on the practicalities of conducting modelling activities in the classroom based on actual implementation in the Singapore context, drawing on the Singapore Mathematics Curriculum and other curriculaIt also proposes the way forward in addressing the issue of mathematical modelling for teacher education and curricula planning in the Singapore context

Psychological Studies in the Teaching, Learning and Assessment of Mathematics

Yiming Cao,Zsolt Lavicza ,Shuhua An,Lianchun Dong
Psychological Studies in the Teaching Learning and Assessment of Mathematics Book PDF

Author : Yiming Cao,Zsolt Lavicza ,Shuhua An,Lianchun Dong
Publisher : Frontiers Media SA
Page : 408 pages
File Size : 51,6 Mb
Release : 2024-05-31
Category : Science
ISBN : 9782832546901

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Psychological Studies in the Teaching, Learning and Assessment of Mathematics by Yiming Cao,Zsolt Lavicza ,Shuhua An,Lianchun Dong Pdf

There is no doubt that the onset of a new decade has brought high expectations of academic progress for scholars, especially for researchers in mathematics education. The International Group for the Psychology of Mathematics Education was born in 1976, which focused on the international exchange of knowledge in the psychology of mathematics education, the promotion of interdisciplinary research with psychologists, mathematicians and mathematics teachers, and the development of the psychological aspects of teaching and learning mathematics and its implications.

Beyond Answers

Mike Flynn
Beyond Answers Book PDF

Author : Mike Flynn
Publisher : Taylor & Francis
Page : 230 pages
File Size : 50,8 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839538

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Beyond Answers by Mike Flynn Pdf

Beyond Answers: Exploring Mathematical Practices with Young Children, author Mike Flynn provides teachers with a clear and deep sense of the Standards for Mathematical Practice and shares ideas on how to best implement them in K-2 classrooms.' Each chapter is dedicated to one of the eight common core standards. Using examples from his own teaching and vignettes from many other K-2 teachers, Flynn does the following: ' Invites you to break the cycle of teaching math procedurally Demonstrates what it means for children to understandnot just domath Explores what it looks like when young children embrace the important behaviors espoused by the practices The book's extensive collection of stories from K-2 classroom provides readers with glimpses of classroom dialogue, teacher reflections, and examples of student work. Focus questions at the beginning of each vignette help you analyze the examples and encourage further reflection. Beyond Answers' is a wonderful resource that can be used by individual teachers, study groups, professional development staff, and in math methods courses. '

Mathematics and Its Connections to the Arts and Sciences (MACAS)

Claus Michelsen,Astrid Beckmann,Viktor Freiman,Uffe Thomas Jankvist,Annie Savard
Mathematics and Its Connections to the Arts and Sciences MACAS Book PDF

Author : Claus Michelsen,Astrid Beckmann,Viktor Freiman,Uffe Thomas Jankvist,Annie Savard
Publisher : Springer Nature
Page : 560 pages
File Size : 52,5 Mb
Release : 2022-12-19
Category : Education
ISBN : 9783031105180

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Mathematics and Its Connections to the Arts and Sciences (MACAS) by Claus Michelsen,Astrid Beckmann,Viktor Freiman,Uffe Thomas Jankvist,Annie Savard Pdf

This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.

Becoming a Teacher of Mathematical Modeling

Elizabeth G. Arnold
Becoming a Teacher of Mathematical Modeling Book PDF

Author : Elizabeth G. Arnold
Publisher : National Council of Teachers of English
Page : 0 pages
File Size : 41,7 Mb
Release : 2021
Category : Mathematical models
ISBN : 1680540467

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Becoming a Teacher of Mathematical Modeling by Elizabeth G. Arnold Pdf

This book explores what it means to teach modeling. In part I, the authors discuss mathematical modeling broadly and allow you to explore the student practices and perspectives involved, how modeling can empower students, and classroom communities that support modeling. In part II, the authors launch you on your journey of becoming a teacher of modeling by illustrating features of modeling that are evident in the classrooms of teacher who engage their students in modeling and by sharing specific strategies for making modeling a part of your own classroom practices. In part III, they examine the complementary perspectives of mathematical and statistical models, the role of modeling in the secondary mathematics curriculum, and the role of technology in supporting modeling. Finally, they share wisdom from other teachers who have engaged in this journey and invite you to join in the modeling community.

Teaching Young Children Mathematics

Sydney L. Schwartz
Teaching Young Children Mathematics Book PDF

Author : Sydney L. Schwartz
Publisher : Bloomsbury Publishing USA
Page : 226 pages
File Size : 49,7 Mb
Release : 2005-09-30
Category : Education
ISBN : 9780313067945

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Teaching Young Children Mathematics by Sydney L. Schwartz Pdf

Children learn mathematics most effectively in contexts that are meaningful to them. Realizing the potential of these contexts for fostering young children's mathematical learning while nurturing and challenging them, requires knowledge of mathematics as well as of child development. Avoiding the debates surrounding hands-on learning vs. direct instruction, the author focuses on the value of different contexts for learning, and illustrates ways to genuinely engage children as active learners. The work is rich with examples of children's interactions with each other and with adults as they utilize and extend their understanding of mathematics. Examples and guidelines for developing lessons and activities will be useful to educators and parents. Chapters explore how we underestimate young children's mathematical capabilities; how appropriate sequencing of learning and building on prior knowledge will enhance understanding; what teachers, including parent-teachers, need to know; and high-stakes testing. This is a work that brings together the connections between knowing the basics and constructing knowledge in accessible and practical ways.

Mathematical Modeling and Modeling Mathematics

Christian R. Hirsch,Sylvia Celedon-Pattichis,Amy Roth McDuffie,Dorothy Y. White,Marta Civil
Mathematical Modeling and Modeling Mathematics Book PDF

Author : Christian R. Hirsch,Sylvia Celedon-Pattichis,Amy Roth McDuffie,Dorothy Y. White,Marta Civil
Publisher : National Council of Teachers of English
Page : 0 pages
File Size : 45,5 Mb
Release : 2016
Category : Educational equalization
ISBN : 0873539745

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Mathematical Modeling and Modeling Mathematics by Christian R. Hirsch,Sylvia Celedon-Pattichis,Amy Roth McDuffie,Dorothy Y. White,Marta Civil Pdf

Examines issues related to access, equity, and empowerment for early childhood mathematics.

The Learning and Teaching of Mathematical Modelling

Mogens Niss,Werner Blum
The Learning and Teaching of Mathematical Modelling Book PDF

Author : Mogens Niss,Werner Blum
Publisher : Routledge
Page : 200 pages
File Size : 48,9 Mb
Release : 2020-01-16
Category : Education
ISBN : 9781351745734

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The Learning and Teaching of Mathematical Modelling by Mogens Niss,Werner Blum Pdf

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.

Beyond Answers

Michael Flynn,Mike Flynn
Beyond Answers Book PDF

Author : Michael Flynn,Mike Flynn
Publisher : Stenhouse Publishers
Page : 231 pages
File Size : 54,8 Mb
Release : 2017
Category : Communication in mathematics
ISBN : 9781571109026

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Beyond Answers by Michael Flynn,Mike Flynn Pdf

Shares ideas on how best to implement the Standards for Mathematical Practice in K-2 classrooms.

Statistics for Kids

Scott Chamberlin
Statistics for Kids Book PDF

Author : Scott Chamberlin
Publisher : Routledge
Page : 152 pages
File Size : 44,8 Mb
Release : 2021-10-08
Category : Education
ISBN : 9781000503470

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Statistics for Kids by Scott Chamberlin Pdf

Perhaps the most useful and neglected content area of mathematics is statistics, especially for students in Grades 4-6. Couple that fact with the notion that mathematical modeling is an increasing emphasis in many standards, such as the Common Core State Standards for Mathematics and the NCTM standards, and the necessity for this topic is overdue. In this book, teachers will facilitate learning using model-eliciting activities (MEAs), problem-solving tasks created by mathematics educators to encourage students to investigate concepts in mathematics through the creation of mathematical models. Students will explore statistical concepts including trends, spread of data, standard deviation, variability, correlation, sampling, and more—all of which are designed around topics of interest to students. Grades 4-6

Splash!

Virginia Caine Tonneson
Splash Book PDF

Author : Virginia Caine Tonneson
Publisher : William & Mary Units
Page : 0 pages
File Size : 46,5 Mb
Release : 2012-08
Category : Education
ISBN : 1593639708

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Splash! by Virginia Caine Tonneson Pdf

Splash! is a mathematics unit for high-ability learners in kindergarten and first grade focusing on concepts related to linear measurement, the creativity elements of fluency and flexibility, and the overarching, interdisciplinary concept of models. The unit consists of 13 lessons centered on the idea of designing a community pool. Students examine the question of why we measure, the importance of accuracy in measurement, and the various units and tools of measurement. The unit presents a hands-on, constructivist approach, allowing children to build their knowledge base and their skills as they explore mathematical ideas through play and planned investigations. Students are involved in creative and critical thinking, problem solving, process skill development, and communication. Grades K-1