The Learning And Teaching Of Mathematical Modelling

Author by : Mogens Niss
Languange : un
Publisher by : Routledge
Format Available : PDF, ePub, Mobi
Total Read : 10
Total Download : 442
File Size : 44,8 Mb
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Description : 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.


The Philosophy Of Mathematics Education Today

Author by : Paul Ernest
Languange : un
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 82
Total Download : 764
File Size : 42,5 Mb
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Description : This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.


Pictorial Mathematics

Author by : Guillermo Mendieta
Languange : un
Publisher by : Meaningful Learning
Format Available : PDF, ePub, Mobi
Total Read : 60
Total Download : 798
File Size : 43,8 Mb
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Description : Pictorial Mathematics is a comprehensive and engaging resource for teaching and learning second through algebra level mathematics. It uses multiple representations and effective visuals to help learners with a wide variety of learning styles to develop a strong conceptual understanding of each concept. Pictorial Mathematics provides the perfect bridge between the abstract and the concrete. Its 400 pages are packed with invaluable tools to help teachers, parents and the learner develop meaning, connections and a deeper conceptual understanding of key mathematical concepts. Inside, you?ll find such resources as:More than 1,000 engaging visual exercises, Powerful and engaging models for the development of conceptual understanding of place value, fractions, ratios, geometry, the four operations and algebra concepts, Energizing tasks -- for small groups, large classrooms, or individuals alike, Master guides to create personalized pictorial problems, Tools to differentiate instruction, A complete set of 38 pictorial templates: from printable manipulatives to graphing paper with suggested activities for these. For previews of the book go to www.pictorialmath.com.


Using Mobile Technologies In The Teaching And Learning Of Mathematics

Author by : Nigel Calder
Languange : un
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 41
Total Download : 847
File Size : 49,9 Mb
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Description : Mobile technologies influence the way that we interact with the world, the way that we live. We use them for communication, entertainment, information and research. In education settings, there has been substantial investment in mobile devices, often without a concomitant investment in developing pedagogy and practices. With mobile technologies evolving rapidly, and the number of educational apps growing, there is a need for research into how they facilitate mathematics learning. Such research is of particular importance regarding how such devices may be used to open up new ways of envisaging mathematics and mathematics education, and to help develop conceptual rather than procedural or declarative knowledge. This volume draws upon international research and reports on a range of research projects that have incorporated mobile technologies for mathematics education. It presents research on the use of mobile technologies, such as iPads, iPods, iPhones, Androids, and Tablets, across a diverse range of cultures, year levels and contexts. It examines the ways in which mobile technologies, including apps, might influence students’ engagement, cognition, collaboration and attitudes, through the reshaping of the learning experience. In addition, the book presents appropriate ways to integrate mobile technologies into teaching and learning programmes. It is a significant reference book for those involved with teaching mathematics or using mobile technologies in education, while also offering insights and examples that are applicable to the use of digital technologies in education generally.


Teaching And Learning Mathematics Online

Author by : James P. Howard, II
Languange : un
Publisher by : CRC Press
Format Available : PDF, ePub, Mobi
Total Read : 74
Total Download : 376
File Size : 49,8 Mb
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Description : Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses


Visible Learning For Mathematics Grades K 12

Author by : John Hattie
Languange : un
Publisher by : Corwin Press
Format Available : PDF, ePub, Mobi
Total Read : 95
Total Download : 690
File Size : 53,5 Mb
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Description : Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in “visible” learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.


Trends In Teaching And Learning Of Mathematical Modelling

Author by : Gabriele Kaiser
Languange : un
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 12
Total Download : 352
File Size : 55,8 Mb
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Description : This book contains suggestions for and reflections on the teaching, learning and assessing of mathematical modelling and applications in a rapidly changing world, including teaching and learning environments. It addresses all levels of education from universities and technical colleges to secondary and primary schools. Sponsored by the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), it reflects recent ideas and methods contributed by specialists from 30 countries in Africa, the Americas, Asia, Australia and Europe. Inspired by contributions to the Fourteenth Conference on the Teaching of Mathematical Modelling and Applications (ICTMA14) in Hamburg, 2009, the book describes the latest trends in the teaching and learning of mathematical modelling at school and university including teacher education. The broad and versatile range of topics will stress the international state-of-the-art on the following issues: Theoretical reflections on the teaching and learning of modelling Modelling competencies Cognitive perspectives on modelling Modelling examples for all educational levels Practice of modelling in school and at university level Practices in Engineering and Applications


The Psychology Of Learning Mathematics

Author by : Richard R. Skemp
Languange : un
Publisher by : Psychology Press
Format Available : PDF, ePub, Mobi
Total Read : 95
Total Download : 704
File Size : 46,6 Mb
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Description : This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, interpersonal and emotional factors, and a new model of intelligence. The author contends that progress in the areas of learning and teaching mathematics can only be made when such factors as the abstract and hierarchical nature of mathematics, the relation to mathematical symbolism and the distinction between intelligent learning and rote memorization are taken into account and instituted in the classroom.


Forms Of Mathematical Knowledge

Author by : Dina Tirosh
Languange : un
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 83
Total Download : 416
File Size : 46,8 Mb
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Description : 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.


Building Thinking Classrooms In Mathematics Grades K 12

Author by : Peter Liljedahl
Languange : un
Publisher by : Corwin Press
Format Available : PDF, ePub, Mobi
Total Read : 89
Total Download : 447
File Size : 40,8 Mb
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Description : A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.


Visible Learning For Mathematics Grades K 12

Author by : John A. Hattie
Languange : un
Publisher by : Corwin Publishers
Format Available : PDF, ePub, Mobi
Total Read : 79
Total Download : 292
File Size : 54,7 Mb
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Description : Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Math, six acclaimed educators assert it's not about which one--it's about when--and show you how to design high-impact instruction so all students demonstrate more than a year's worth of mathematics learning for a year spent in school. That's a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie's synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When--through carefully constructed experiences--students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When--through the solving of rich high-cognitive tasks and rigorous discussion--students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.


State Of The Art

Author by : Carole B. Lacampagne
Languange : un
Publisher by :
Format Available : PDF, ePub, Mobi
Total Read : 54
Total Download : 519
File Size : 41,7 Mb
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Description : The implementation of the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics" implies fundamental shifts in the teaching and learning of mathematics. Intended for those individuals who will be instrumental in the implementation of those changes--teachers, administrators, and parents--this document presents 10 ideas for transforming mathematics teaching and learning based on research and successful practical experience: (1) All students can and must learn mathematics, which should serve as a "pump," not a "filter"; (2) Teachers need to listen to students and incorporate into their instruction what they learn from listening; (3) Students learn mathematics best when they construct their own mathematical understanding; (4) Students need to learn more and different types of mathematics; (5) Mathematical discussion should be a daily part of classroom activity; (6) Teachers need to become "informed guides" to the learner; (7) Calculators, computers, and related technology can be effective tools in the teaching and learning of mathematics; (8) Students need shared learning experiences; (9) Curricular and pedagogical change in mathematics cannot occur without accompanying change in student assessment; and (10) Lasting change takes broad support. (Contains 14 references.) (MDH)


Learning Mathematics

Author by : Anthony Orton
Languange : un
Publisher by : A&C Black
Format Available : PDF, ePub, Mobi
Total Read : 98
Total Download : 536
File Size : 46,7 Mb
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Description : • Why do some students achieve more than others? • Do we have to wait until pupils are "ready"? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.


Being Alongside

Author by : Alf Coles
Languange : un
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 43
Total Download : 134
File Size : 46,5 Mb
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Description : How do you establish a classroom culture in which students routinely conjecture and think mathematically? How do you establish a way of working with teachers, using video, in which discussion supports professional development? The present book offers answers to these questions through an in depth (enactivist) study of one exceptional teacher in one innovative mathematics department in the UK. The book reveals some striking parallels between working to support students’ mathematical thinking and working to support teacher learning. A case is made for the importance of metacommunication in both contexts - communication about the communications that are occurring. For example, there is compelling evidence from a classroom that metacommunication, linked to the words ‘conjecture’ and ‘becoming a mathematician’, supports student metacognition and mathematical thinking. In working with teachers or students, offering these powerful metacommunications seems to require a heightened listening. With a heightened listening, attention is placed not just in what is said, but in what kind of a thing is said, with the teacher or facilitator being alongside the individuals in the wider group. "Read this book if you’re a teacher for insights into how one teacher establishes a classroom culture where her children are doing mathematics, ‘being mathematicians’ and reflect on what you want in your own classroom. Read this book if you’re a teacher educator to reflect on parallels between teaching and running professional development sessions, particularly using video. If you do not fit in either of these categories, read this book and use stories in your life." - Laurinda Brown, University of Bristol.


Educational Paths To Mathematics

Author by : Uwe Gellert
Languange : un
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 73
Total Download : 588
File Size : 53,5 Mb
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Description : This book offers fresh insight and understanding of the many ways in which children, youth and adults may find their paths to mathematics. The chapters of the volume offer and analyse promising new ways into mathematics. The focus is on spaces and modalities of learning, dialogue and inquiry, embodiment and aesthetic experience, information and communication technology and on the use of mathematics in public communication. The chapters present new mathematical activities and conceptions enriching the repertoire of mathematics education practices. Critical commentaries discuss the innovative potential of the new approaches to the teaching and learning of mathematics. As a consequence, the commentaries point to requirements and open issues in the field of research in mathematics education. The volume is remarkably international. Teachers and researchers from 14 countries authored 21 chapters and 7 commentaries. The reader is invited to reflect on the particular effect of presenting avenues to mathematics contrived in diverse national settings in which the praxis of mathematics education might look different compared to what happens in the reader’s place. The book starts a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l’Etude et l’Amélioration de l’Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.


Styles And Strategies For Teaching High School Mathematics

Author by : Edward J. Thomas
Languange : un
Publisher by : Corwin Press
Format Available : PDF, ePub, Mobi
Total Read : 94
Total Download : 851
File Size : 53,6 Mb
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Description : This book offers effective, research-based strategies that can be mixed and matched to differentiate mathematics instruction for high school students through four different learning styles. Learn From the Experts! Sign up for a Math Professional Development Institute in your area—visit www.ThoughtfulClassroom.com/events


Handbook Of Research On Mathematics Teaching And Learning

Author by : Douglas Grouws
Languange : un
Publisher by : IAP
Format Available : PDF, ePub, Mobi
Total Read : 73
Total Download : 416
File Size : 53,7 Mb
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Description : Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of wellestablished conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twentynine chapters are complete resources for both current and past work in that particular area.


Teaching Mathematics In The Primary School

Author by : Gill Bottle
Languange : un
Publisher by : A&C Black
Format Available : PDF, ePub, Mobi
Total Read : 60
Total Download : 835
File Size : 45,5 Mb
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Description : Numerous examples from early years and primary classrooms are included as well as checklists and helpful advice. There are also suggestions for further reading to assist trainee and newly qualified teachers in meeting the Standards for Initial Teacher Training and Induction.


The Learning And Development Of Mathematics Teacher Educators

Author by : Merrilyn Goos
Languange : un
Publisher by : Springer Nature
Format Available : PDF, ePub, Mobi
Total Read : 84
Total Download : 973
File Size : 41,5 Mb
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Description : Research in mathematics teacher education as a distinctive field of inquiry has grown substantially over the past 10-15 years. Within this field there is emerging interest in how mathematics teacher educators (MTEs) themselves learn and develop. Until recently there were few published studies on this topic, and the processes by which mathematics teacher educators learn, and the forms of knowledge they require for effective practice, had not been systematically investigated. However, researchers in mathematics education are now beginning to investigate the development of MTE expertise and associated issues. This volume draws on the latest research and thinking in this area is therefore timely to stimulate future development and directions. It will survey the emerging field of inquiry in mathematics education, combining the work of established scholars with perspectives of newcomers to the field, with the aim of influencing development of the field, invite cross-cultural comparisons in becoming a mathematics teacher educator by highlighting issues in the development of MTEs in different countries, and examine the roles of both mathematics educators and mathematicians in preparing future teachers of mathematics. The primary audience will be university-based mathematics teacher educators and MTE researchers, and postgraduate research students who are seeking academic careers as MTEs. Additional interest may come from teacher educators in disciplines other than mathematics, and education policy makers responsible for accreditation and quality control of initial teacher education programs. .


How Chinese Learn Mathematics

Author by : Lianghuo Fan
Languange : un
Publisher by : World Scientific
Format Available : PDF, ePub, Mobi
Total Read : 33
Total Download : 945
File Size : 46,9 Mb
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Description : The book has been written by an international group of very activeresearchers and scholars who have a passion for the study of Chinesemathematics education. It aims to provide readers with a comprehensiveand updated picture of the teaching and learning of mathematicsinvolving Chinese students from various perspectives, including theways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and socialenvironment on Chinese students'' mathematics learning, and thestrengths and weaknesses of the ways in which Chinese learnmathematics


Learning Mathematics

Author by : Leone Burton
Languange : un
Publisher by : Routledge
Format Available : PDF, ePub, Mobi
Total Read : 52
Total Download : 177
File Size : 44,5 Mb
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Description : Learning Mathematics brings together a collection of interrelated and forward-looking chapters by internationally recognized experts that explores changes in the theories and practices of learning (and teaching) mathematics. The authors reject a traditional, transmission view of the teaching of mathematics which has proved so ineffective for learning. In its place they offer information gathered from research and from practice about effects on the learners seeking to create and negotiate meaning. Learners are presented as actively attempting to make sense of the mathematics they encounter, and learners, teachers and researchers are offered examples of ho such sense-making activities, incorporated into mathematics classrooms, impact on coming to know. The book celebrates both diversity, in the range of different perspectives, contributions and topics, and unity, in the linking chapters and themes, It will be fascinating reading for those mathematics educators who are eager to engage with a socio-cultural perspective in order to better understand the complexity of learning mathematics.


Learning How To Teach Mathematical Modeling In School And Teacher Education

Author by : Rita Borromeo Ferri
Languange : un
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 18
Total Download : 542
File Size : 53,9 Mb
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Description : 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.


Mathematical Modelling And Applications

Author by : Gloria Ann Stillman
Languange : un
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 99
Total Download : 453
File Size : 41,7 Mb
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Description : This volume documents on-going research and theorising 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 the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.


Making Sense

Author by : James Hiebert
Languange : un
Publisher by : Heinemann
Format Available : PDF, ePub, Mobi
Total Read : 97
Total Download : 673
File Size : 42,8 Mb
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Description : This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.


Mathematical Modelling Education And Sense Making

Author by : Gloria Ann Stillman
Languange : un
Publisher by : Springer Nature
Format Available : PDF, ePub, Mobi
Total Read : 13
Total Download : 124
File Size : 50,7 Mb
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Description : This volume documents on-going research and theorising 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 modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.


Improving Primary Mathematics Teaching And Learning

Author by : McAteer, Mary
Languange : un
Publisher by : McGraw-Hill Education (UK)
Format Available : PDF, ePub, Mobi
Total Read : 26
Total Download : 243
File Size : 51,9 Mb
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Description : Offers an exploration of contemporary issues facing primary mathematics teachers. Drawing on research and case studies from practice, the book explores a wide range of concepts as starting points for professional reflection and personal development to improve teaching and learning in primary mathematics.


Mathematical Models For Teaching

Author by : Ann Kajander
Languange : un
Publisher by : Canadian Scholars’ Press
Format Available : PDF, ePub, Mobi
Total Read : 30
Total Download : 975
File Size : 48,8 Mb
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Description : 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