Advertisement
| example of a mathematical concept map: Concept Mapping in Mathematics Karoline Afamasaga-Fuata'i, 2009-04-21 Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education. |
| example of a mathematical concept map: Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics Haiyue JIN, 2022-05-05 This book investigates the practicability and effectiveness of the concept map as a tool for assessing students’ conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students’ conceptual understanding of four different mathematical topics. Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which reveals fresh insights into the graphic features of the concept map and into how students connect mathematical concepts. By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding. With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers’ attitudes toward concept mapping and describes the implications these findings may have for concept mapping’s use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries. |
| example of a mathematical concept map: Concept-Based Mathematics Jennifer T.H. Wathall, 2016-01-14 Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind! — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students. — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant |
| example of a mathematical concept map: Conceptual Mathematics F. William Lawvere, Stephen H. Schanuel, 2009-07-30 This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists. |
| example of a mathematical concept map: The Math Teacher's Toolbox Bobson Wong, Larisa Bukalov, 2020-04-09 Math teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom The Teacher’s Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors. The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy. This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with “math anxiety,” and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book: Explains the usefulness, application, and potential drawbacks of each instructional strategy Provides fresh activities for all classrooms Helps math teachers work with ELLs, advanced students, and students with learning differences Offers real-world guidance for working with parents, guardians, and co-teachers The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators. |
| example of a mathematical concept map: Math Know-How Thomasenia Lott Adams, Joanne LaFramenta, 2013-12-10 From two math coaches who really know how Have you ever wished there were a single resource to help you tackle your most persistent teaching issues once and for all? To engage students in more meaningful ways? To provide the tools you need to increase students’ understanding of key mathematical concepts? All at the same time! Math coaches Thomasenia Lott Adams and Joanne LaFramenta have just written it. With the help of this book, you’ll be armed with the know-how to employ strategies to achieve the CCSS, especially the Mathematical Practices make purposeful teaching decisions facilitate differentiated instruction teach and learn with manipulatives use technology appropriately |
| example of a mathematical concept map: Concept Mapping for Planning and Evaluation Mary Kane, William M. K. Trochim, 2007 This is a complete guide to the concept mapping methodology and strategies behind using it for a broad range of social scientists - including students, researchers and practitioners. |
| example of a mathematical concept map: Teaching Inclusive Mathematics to Special Learners, K-6 Julie A. Sliva, Julie Sliva Spitzer, 2004 Silva (mathematics education, San Jose State U.) provides an expanded framework of understanding for K-6 educators and educational specialists to use when teaching students who are having difficulties learning mathematics. |
| example of a mathematical concept map: Teaching Mathematics Using Interactive Mapping Sandra L. Arlinghaus, Joseph J. Kerski, William C. Arlinghaus, 2023-12-11 Teaching Mathematics Using Interactive Mapping offers novel ways to learn basic math topics such as simple relational measures or measuring hierarchies through customized interactive mapping activities. These activities focus on interactive web-based Geographic Information System (GIS) and are relevant to today’s problems and challenges. Written in a guided, hands-on, understandable manner, all activities are designed to build practical and problem-solving skills that rest on mathematical principles and move students from thinking about maps as references that focus solely on where is something, to analytical tools, focusing primarily on the whys of where. Success with this transition through interaction permits most readers to master mathematical concepts and GIS tools. FEATURES Offers custom-designed geographical activities to fit with specific mathematical topics Helps students become comfortable using mathematics in a variety of professions Provides an innovative, engaging, and practical set of activities to ease readers through typically difficult, often elementary, mathematical topics: fractions, the distributive law, and much more Uses web-based GIS maps, apps, and other tools and data that can be accessed on any device, anywhere, at any time, requiring no prior GIS background Written by experienced teachers and researchers with lifelong experience in teaching mathematics, geography, and spatial analysis This textbook applies to undergraduate and graduate students in universities and community colleges including those in basic mathematics courses, as well as upper-level undergraduate and graduate students taking courses in geographic information systems, remote sensing, photogrammetry, geography, geodesy, information science, engineering, and geology. Professionals interested in learning techniques and technologies for collecting, analyzing, managing, processing, and visualizing geospatial datasets will also benefit from this book as they refresh their knowledge in mathematics. |
| example of a mathematical concept map: Developing Inclusive Environments in Education: Global Practices and Curricula Koreeda, Kiyoji, Tsuge, Masayoshi, Ikuta, Shigeru, Dalton, Elizabeth Minchin, Ewe, Linda Plantin, 2023-06-29 Inclusive education remains a significant challenge in today's educational landscape, as K-12 classrooms and higher education institutions struggle to meet the diverse needs of all students. To address this pressing issue, Developing Inclusive Environments in Education: Global Practices and Curricula, led by Kiyoji Koreeda, offers practical strategies and insights. The book explores the Universal Design for Learning (UDL) framework, providing a comprehensive guide to making learning inclusive and transformative. It showcases global examples of universal design curricula and highlights the use of educational technologies to facilitate inclusive learning experiences. By focusing on practical activities and support systems, the book empowers educators to build inclusive classrooms and higher education settings, offering detailed descriptions of useful tools and software for personalized teaching materials and reasonable accommodations. Developing Inclusive Environments in Education is an essential resource for researchers and educators committed to fostering inclusive practices and creating transformative educational environments. Embracing the strategies and insights presented in this book allows researchers and educators to revolutionize their approach to education. They can create inclusive environments that support the success and well-being of every student, ensuring that no one is left behind. By adopting the practical guidance and leveraging the examples provided, educators can implement inclusive practices and transform their classrooms and educational settings to meet the diverse needs of learners worldwide. This transformative approach empowers educators to utilize advanced curricula, leverage educational technologies, and implement personalized teaching materials and accommodations, ultimately creating an environment where all students can thrive. Developing Inclusive Environments in Educationserves as a valuable resource, equipping educators with the necessary knowledge and tools to build inclusive and transformative educational environments. |
| example of a mathematical concept map: Fostering Children's Mathematical Power Arthur J. Baroody, Ronald T. Coslick, 1998-09-01 Teachers have the responsibility of helping all of their students construct the disposition and knowledge needed to live successfully in a complex and rapidly changing world. To meet the challenges of the 21st century, students will especially need mathematical power: a positive disposition toward mathematics (curiosity and self confidence), facility with the processes of mathematical inquiry (problem solving, reasoning and communicating), and well connected mathematical knowledge (an understanding of mathematical concepts, procedures and formulas). This guide seeks to help teachers achieve the capability to foster children's mathematical power - the ability to excite them about mathematics, help them see that it makes sense, and enable them to harness its might for solving everyday and extraordinary problems. The investigative approach attempts to foster mathematical power by making mathematics instruction process-based, understandable or relevant to the everyday life of students. Past efforts to reform mathematics instruction have focused on only one or two of these aims, whereas the investigative approach accomplishes all three. By teaching content in a purposeful context, an inquiry-based fashion, and a meaningful manner, this approach promotes chilren's mathematical learning in an interesting, thought-provoking and comprehensible way. This teaching guide is designed to help teachers appreciate the need for the investigative approach and to provide practical advice on how to make this approach happen in the classroom. It not only dispenses information, but also serves as a catalyst for exploring, conjecturing about, discussing and contemplating the teaching and learning of mathematics. |
| example of a mathematical concept map: Researching Mathematics Education in South Africa Renuka Vithal, Jill Adler, Christine Keitel, 2005 Reflecting on the theoretical and ideological work that has contributed to the growth of mathematics education research in South Africa, this study provides a historical analysis of forces that have changed and shaped mathematics curricula over the years. The themes researched and explored include radical pedagogy, progressive classroom practices, ethnomathematics, and South African mathematics education research within both its local and international contexts. |
| example of a mathematical concept map: 22 Topic-wise CTET Paper 2 Mathematics& Science Previous Year Solved Papers (2024 - 2011) Class 6 - 8 Teachers | Child Development & Pedagogy, English & Hindi Language Disha Experts, 2024-10-22 The First edition of the book 22 TOPIC -WISE CTET Paper 2 Mathematics / Science Solved Papers (2024 - 2011) - English Edition contains detailed Solutions to the Past 22 Solved Papers of the CTET exam from 2011 to 2024. # The past 22 CTET Solved papers included are : June 2011, Jan & Nov 2012, July 2013, Feb & Sep 2014, Feb & Sep 2015, Feb & Sep 2016 Papers, Dec 2018, July & Dec 2019, Dec 2020 & Dec-Jan 2021, Dec-Jan 2022, Aug 2023 & Jan -July 2024. # The past solved papers are divided into 5 Sections and 73 Topics : Section I – CDP has 21 Topics; Section II- mathematics has 15 Topics; Section III- Science has 16 Topics ; Section IV- English -11 Topics & Section V- Hindi has 10 Topics. # The detailed solutions are provided immediately after each topic. # Solutions are provided for each question. # The languages covered in the tests are English (1st language) and Hindi (2nd language). # The book is 100% useful for UPTET, HTET, MPTET, CGTET, UKTET, HPTET, BTET, PTET and other STET Exam |
| example of a mathematical concept map: Succeeding at Teaching Mathematics, K-6 Julie Sliva Spitzer, Cheryl D. Roddick, 2007-12-06 I wish I′d had this book when I began teaching years ago. —Beth Peters, Mathematics Education Consultant An excellent, concise book for novice mathematics teachers, with good ideas for experienced teachers as well. —Colleen Martin, Fifth-Grade Teacher Wilder Waite Grade School, Peoria, IL Practical support for mathematics instruction—putting it all together, from standards-based instruction to assessment! Meeting the requirements of teaching mathematics in the current era of accountability can be challenging for any new teacher. Succeeding at Teaching Mathematics, K–6 helps beginning educators focus on the big ideas in teaching mathematics, promote positive engagement in the classroom through practical strategies, and use a variety of methods to assess student understanding. Teachers will find classroom vignettes that encourage thought-provoking discussions, examples of standards-based activities, and an overview of NCTM content and process standards. Particular attention is given to instructing and assessing English Language Learners, as well as special needs and gifted populations. The authors answer the most pressing questions for novice teachers of mathematics, including how to: Develop a philosophy for teaching mathematics Design a mathematics curriculum that makes connections within mathematics and across content areas Differentiate instructional strategies Engage students instead of managing them This invaluable resource provides the ideal support and guidance to help new teachers get off to a great start! |
| example of a mathematical concept map: Mathematics in Early Years Education Ann Montague-Smith, Tony Cotton, Alice Hansen, Alison J. Price, 2013-03-05 This third edition of the best-selling Mathematics in Nursery Education provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning – number and counting, calculation, pattern, shape, measures and data handling – it summarises the research findings and underlying key concepts and explains how adults can help children to learn through practical experiences, discussion and more direct intervention. This new edition has been fully updated to incorporate the latest research and thinking in this area and includes: why mathematics is important as a way of making sense of the world how attitudes to mathematics can influence teaching and learning how children learn mathematics new material on sorting, matching and handling data ideas for observation and questioning to assess children’s understanding examples of planned activities suggestions for language development assessment criteria. This textbook is ideal for those training to be teachers through an undergraduate or PGCE route, those training for Early Years Professional Status and those studying early childhood on foundation or honours degrees as well as parents looking to explore how their young children learn mathematics. This will be an essential text for any Early Years practitioner looking to make mathematics interesting, exciting and engaging in their classroom. |
| example of a mathematical concept map: CTET Central Teacher Eligibility Test Paper-2 (Class Vi-Viii) Mathematics And Science 15 Practice Sets with Latest Solved Papers Team Prabhat, 2023-10-31 The presented book has been prepared on the basis of the latest syllabus of Central Teacher Eligibility Test (CTET Central Teacher Eligibility Test Paper-Ii (Class: Vi-Viii) Mathematics and Science 15 Practice Sets and 1 Latest Solved Paper (2023). Presented book highly relevant to exam based paper. All questions are set by studying syllabus deeply and inspecting them in the context of CTET questions, make important facts in question format. Attempts have been made to incorporate to present questions from all the chapters. An attempt has been made to explain the important facts in simple words, so that the candidate can easily understand the subject matter and answer the questions in examination. |
| example of a mathematical concept map: Mentoring Mathematics Teachers in the Secondary School Rosa Archer, Siân Morgan, David Swanson, Claire Clemmet, Stef Sullivan, 2023-12-01 This practical workbook assists school-based mentors of mathematics teachers to develop their mentoring skills, offering mentors the essential guidance needed in order to effectively support trainee or newly qualified secondary mathematics teachers, as well as in their overall career development. Offering tried and tested strategies based on research and evidence, Mentoring Mathematics Teachers in the Secondary School covers the knowledge, skills and understanding every mentor needs and offers practical tools such as lesson plans and feedback sheets, observation sheets, case studies, sample dialogues and other learning activities and exercises. Together with analytical tools for self-evaluation, this book is a vital source of support and inspiration for all those involved in developing the next generation of outstanding mathematics teachers, whether in teacher training or as newly qualified or early-career teachers. Key topics explored include: Roles and responsibilities of mentors within mathematics education, and understanding yourself as a mentor The mentor–mentee relationship, and helping develop a beginning teacher’s identity Supporting specific aspects of beginning mathematics teachers’ knowledge, skills and understanding, including developing reflective practice, lesson planning and mathematical misconceptions Strategies for observation and analysis of lessons, marking, assessment and the use of data Mentoring for long-term career and teacher development Filled with the key tools needed for the mentor’s individual development, Mentoring Mathematics Teachers in the Secondary School offers an accessible and practical guide to mentoring trainee teachers and early-career teachers with ready-to-use strategies that support, inspire and elevate both mentors and teachers alike. This book also includes an online eResource offering downloadable resources and web-based training material. |
| example of a mathematical concept map: Creating a Language-Rich Math Class Sandra L. Atkins, 2021-11-17 What meanings do your students have for key mathematics concepts? What meanings do you wish them to have? Creating a Language-Rich Math Class offers practical approaches for developing conceptual understandings by connecting concrete, pictorial, verbal, and symbolic representations. The focus is on making mathematics memorable instead of on memorizing. You’ll learn strategies for introducing students to math language that gives meaning to the terms and symbols they use every day; for building flexibility and precision in students’ use of math language; and for structuring activities to make them more language-rich. This second edition also provides strategies for helping students to at times be quiet and listen to their peers; for purposefully using language to introduce students to more complex mathematical symbolism and algebraic properties; and for using writing prompts to zoom in on the meanings that individual students have given to the language-rich experiences. Appropriate for elementary teachers and instructional coaches, the book also includes features such as Investigations to Try and Questions for Reflection to help you incorporate these ideas into your practice. In addition, there are Blackline masters of game cards and puzzles, which can also be found on our website for free download at http://www.routledge.com/9780367759957. |
| example of a mathematical concept map: Effects of integrated learning: explicating a mathematical concept in inquiry-based science camps Louise Bindel, 2018 Although various arguments for integrated learning of mathematics and science exist, empirical evidence that integrated learning is as beneficial as anticipated is limited. Therefore this quasi-experimental study investigates the effect of integrated learning of mathematics and science on eight student variables by comparing it to a control group. Results show that integrated learning is no miracle cure but has positive and negative effects on specific student outcomes. Whereas integrated learning effects students' view of the relation between mathematics and science positively, it effects students' scientific self-concept negatively. Thus, integrated learning should not substitute but rather complement disciplinary learning. Obwohl zahlreiche Argumente für das integrierte Lernen von Mathematik und Naturwissenschaften existieren, ist die vorteilhafte Wirkung integrierten Lernens begrenzt empirisch belegt. Im Rahmen dieser quasi-experimentellen Studie wird der Effekt integrierten Lernens auf acht Schülervariablen durch Vergleiche mit einer Kontrollgruppe untersucht. Die Ergebnisse zeigen, dass integriertes Lernen kein Allheilmittel ist sondern positive und negative Effekte auf bestimmte Schülervariablen hat. Während integriertes Lernen die Sicht der Schülerinnen und Schüler auf die Beziehung zwischen Mathematik und Naturwissenschaften positiv beeinflusst, hat es einen negativen Effekt auf das naturwissenschaftliche Selbstkonzept. Daher sollte integriertes Lernen nicht stellvertretend sondern ergänzend zu disziplinärem Lernen implementiert werden. |
| example of a mathematical concept map: The Psychology of Learning Mathematics Richard R. Skemp, 2012-08-06 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. |
| example of a mathematical concept map: Journal for Research in Mathematics Education , 2014 |
| example of a mathematical concept map: Computer - Human Interaction in Symbolic Computation Norbert Kajler, 2012-12-06 The well attended March 1994 HIse workshop in Amsterdam was a very lively con ference which stimulated much discussion and human-human interaction. As the editor of this volume points out, the Amsterdam meeting was just part of a year-long project that brought many people together from many parts of the world. The value of the effort was not only in generating new ideas, but in making people aware of work that has gone on on many fronts in using computers to make mathematics more understandable. The author was very glad he attended the workshop. * In thinking back over the conference and in reading the papers in this collection, the author feels there are perhaps four major conclusions to be drawn from the current state of work: 1. graphics is very important, but such features should be made as easy to use as possible; 2. symbolic mathematical computation is very powerful, but the user must be able to see intermediate steps; 3. system design has made much progress, but for semester-long coursework and book-length productions we need more tools to help composition and navigation; 4. monolithic systems are perhaps not the best direction for the future, as different users have different needs and may have to link together many kinds of tools. The editor of this volume and the authors of the papers presented here have also reached and documented similar conclusions. |
| example of a mathematical concept map: Quick Revision Chapterwise Mind-Maps class 12 Mathematics Disha Experts, 2018-12-13 The ebook ‘Quick revision Chapterwise mind- maps’ Class-12 Mathematics covers 13 chapters of NCERT This ebook is unique and the mind maps are designed in the most comprehensive manner. Mind maps are extremely helpful in faster recall and quick revision Asset for students to excel in CBSE board exam as well as Competitive exams like NTA JEE Main etc. |
| example of a mathematical concept map: Big Ideas In Mathematics: Yearbook 2019, Association Of Mathematics Educators Tin Lam Toh, Joseph B W Yeo, 2019-05-21 The new emphasis in the Singapore mathematics education is on Big Ideas (Charles, 2005). This book contains more than 15 chapters from various experts on mathematics education that describe various aspects of Big Ideas from theory to practice. It contains chapters that discuss the historical development of mathematical concepts, specific mathematical concepts in relation to Big Ideas in mathematics, the spirit of Big Ideas in mathematics and its enactment in the mathematics classroom.This book presents a wide spectrum of issues related to Big Ideas in mathematics education. On the one end, we have topics that are mathematics content related, those that discuss the underlying principles of Big Ideas, and others that deepen the readers' knowledge in this area, and on the other hand there are practice oriented papers in preparing practitioners to have a clearer picture of classroom enactment related to an emphasis on Big Ideas. |
| example of a mathematical concept map: Vocabulary Development Timothy Rasinski, William Rupley, 2019-04-18 Knowledge of word meanings is critical to success in reading. A reader cannot fully understand a text in which the meaning to a significant number of words is unknown. Vocabulary knowledge has long been correlated with proficiency in reading. Yet, national surveys of student vocabulary knowledge have demonstrated that student growth in vocabulary has been stagnant at best. This volume offers new insights into vocabulary knowledge and vocabulary teaching. Articles range from a presentation of theories of vocabulary that guide instruction to innovative methods and approaches for teaching vocabulary. Special emphasis is placed on teaching academic and disciplinary vocabulary that is critical to success in content area learning. Our hope for this volume is that it may spark a renewed interest in research into vocabulary and vocabulary instruction and move toward making vocabulary instruction an even more integral part of all literacy and disciplinary instruction. |
| example of a mathematical concept map: Succeeding at Teaching Secondary Mathematics Cheryl D. Roddick, Julie Sliva Spitzer, 2010-03-22 This practical resource helps beginning secondary mathematics teachers design a curriculum that is meaningful, differentiate instruction, engage students, meet standards, assess student understanding, and more. |
| example of a mathematical concept map: Learning Mathematics Anthony Orton, 2004-10-01 • 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. |
| example of a mathematical concept map: Research in Mathematics Education in Australasia 2008–2011 Bob Perry, Tom Lowrie, Tracy Logan, Amy MacDonald, Jane Greenlees, 2012-09-11 This is the eighth edition of the four-yearly review of mathematics education research in Australasia. Commissioned by the Mathematics Education Research Group of Australasia (MERGA), this review critiques the most current Australasian research in mathematics education in the four years from 2008-2011. The main objective of this review is to celebrate and recognise significant findings; highlight relationships between research; identify themes; and forecast further research directions. This theme-based review has produced a comprehensive analysis of Australasian research in a politically challenging time—producing a manuscript with implications for a wider, international, audience. As the 2009 Felix Klein medal winner Gilah Leder states: A substantial body of research is captured in the chapters of this review. It encompasses the labours of a community of active researchers, with varied interests and diverse theoretical perspectives. Some of the issues explored in the period covered by this volume clearly resonate with questions and concerns particularly pertinent to the changing educational environment; others are more aptly described as continuing or renewed explorations of areas of long standing concern. |
| example of a mathematical concept map: Debates in Mathematics Education Dawn Leslie, Heather Mendick, 2013-10-01 Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. It engages with established and contemporary debates, promotes and supports critical reflection and aims to stimulate both novice and experienced teachers to reach informed judgements and argue their point of view with deeper theoretical knowledge and understanding. Written by experts in the field of mathematics education, it investigates and offers fresh insight into topics of central importance, including: Gender, social inequality and mathematics Mathematics, politics and climate change The history and culture of mathematics Using popular culture in the mathematics classroom The concept of ‘ability’ and its impact on learning What we mean by ‘teaching for understanding’ Choosing and using examples in teaching The fitness of formal examinations. Designed to stimulate discussion and support you in your own research, writing and practice, Debates in Mathematics Education will be a valuable resource for any student or practising teacher engaged in initial teacher training, continuing professional development or Masters level study. It also has much to offer to those leading initial teacher education programmes, and to beginning doctoral students looking for a survey of the field of mathematics education research. |
| example of a mathematical concept map: Toward Equity and Social Justice in Mathematics Education Tonya Gau Bartell, 2018-08-14 This critical volume responds to the enduring challenge in mathematics education of addressing the needs of marginalized students in school mathematics, and stems from the 2015 Annual Meeting of the North American Group of the Psychology of Mathematics Education (PME-NA). This timely analysis brings greater clarity and support to such challenges by narrowing in on four foci: theoretical and political perspectives toward equity and justice in mathematics education, identifying and connecting to family and community funds of knowledge, student learning and engagement in preK-12 mathematics classrooms, and supporting teachers in addressing the needs of marginalized learners. Each of these areas examines how race, class, culture, power, justice and mathematics teaching and learning intersect in mathematics education to sustain or disrupt inequities, and include contributions from scholars writing about mathematics education in diverse contexts. Included in the coverage: Disrupting policies and reforms to address the needs of marginalized learners A socio-spatial framework for urban mathematics education Linking literature on allywork to the work of mathematics teacher educators Transnational families’ mathematical funds of knowledge Multilingual and technological contexts for supporting learners’ mathematical discourse Preservice teachers’ strategies for teaching mathematics with English learners Toward Equity and Social Justice in Mathematics Education is of significant interest to mathematics teacher educators and mathematics education researchers currently addressing the needs of marginalized students in school mathematics. It is also relevant to teachers of related disciplines, administrators, and instructional designers interested in pushing our thinking and work toward equity and justice in mathematics education. |
| example of a mathematical concept map: Work Smarter, Not Harder Teruni Lamberg, 2019-11-08 Help your students learn math and get results by working smarter, not harder! This book provides a research-based, classroom-tested framework that helps make teaching easier. Learn how to design your classroom physical space, develop productive routines, plan effective lessons and facilitate meaningful discussions by using formative assessment to help students learn. This framework naturally integrates the Standards for Mathematical Practice in the Common Core Standards into the process of teaching. Spend your time working smarter not harder to get results in student learning! This book is perfect for individual teachers, Professional Learning Communities (PLC’s), math coaches, for pre-service or in-service math methods courses. |
| example of a mathematical concept map: Cognitive Units, Concept Images, and Cognitive Collages: An Examination of the Processes of Knowledge Construction Mercedes A. McGowen, 2011-09-26 |
| example of a mathematical concept map: Mathematics in Nursery Education, Second Edition Ann Montague-Smith, 2014-05-22 This Second Edition covers the mathematics needed to teach the Early Learning Goals. It has been up-dated to include new research findings as well as new topics, for example, using number lines with young children. The topics of counting, number (including early addition and subtraction), pattern, measures and shape and space are covered in detail. Each chapter contains suggestions for key questions to ask in order to encourage children to discuss their mathematics and to demonstrate what they know and understand. There are sections on developing problem-solving skills, working with parents and other adults in the nursery setting, as well as detailed charts giving ideas for activities and how to assess learning, and some activities planned in full. The final chapter gives detailed help with planning and assessment of mathematics. The book is intended for anyone working with children in the early years: teachers, nursery nurses, classroom assistants, playgroup leaders and workers, child-minders and day care staff. It is particularly suitable as a course text for those training to be teachers, either through the undergraduate route, or through a PGCE, and for those studying for early childhood degrees or diplomas. |
| example of a mathematical concept map: Research in Collegiate Mathematics Education II James J. Kaput, Ed Dubinsky, Alan H. Schoenfeld, 1996 The field of research in collegiate mathematics education has grown rapidly over the past 25 years. Many people are convinced that improvement in mathematics education can only come with a greater understanding of what is involved when a student tries to learn mathematics and how pedagogy can be more directly related to the learning process. Today there is a substantial body of work and a growing group of researchers addressing both basic and applied issues of mathematics education at the collegiate level. This second volume in Research in Collegiate Mathematics Education begins with a paper that attends to methodology and closes with a list of questions. The lead-off paper describes a distinctive approach to research on key concepts in the undergraduate mathematics curriculum. This approach is distinguished from others in several ways, especially its integration of research and instruction. The papers in this volume exhibit a large diversity in methods and purposes, ranging from historical studies, to theoretical examinations of the role of gender in mathematics education, to practical evaluations of particular practices and circumstances. As in RCME I, this volume poses a list of questions to the reader related to undergraduate mathematics education. The eighteen questions were raised at the first Oberwolfach Conference in Undergraduate Mathematics Education, which was held in the Fall of 1995, and are related to both research and curriculum. This series is published in cooperation with the Mathematical Association of America. |
| example of a mathematical concept map: 2024-25 CTET Primary Level Class VI to VIII Math and Science Solved Papers YCT Expert Team , 2024-25 CTET Primary Level Class VI to VIII Math and Science Solved Papers 792 1495 E. This book contains 25 sets of the previous year’s papers and also covers Child Development & Pedagogy, Hindi and English Language. |
| example of a mathematical concept map: Teach Fast: Focused Adaptable Structured Teaching Gene Tavernetti, 2022-11-21 In the real world of the classroom, there is general agreement that students should have an opportunity to create and further their own learning. For such a student-centered experience to exist, students need the foundational knowledge and skills most effectively and efficiently provided by a skilled teacher. Teach FAST describes how teachers can plan and deliver the most effective and efficient lessons possible using a single lesson framework. It is based on a synthesis of cognitive science and nearly 20 years of experience training and coaching teachers in classrooms on how best to provide instruction in foundational knowledge and skills that allow students to reach their creative potential. |
| example of a mathematical concept map: Use of VEE Maps and Concept Maps in the Learning of Form Five Mathematics in Samoa College, Western Samoa Karoline Afamasaga Fuata'i, 1985 |
| example of a mathematical concept map: The Creative Enterprise of Mathematics Teaching Research Bronislaw Czarnocha, William Baker, Olen Dias, Vrunda Prabhu, 2016-07-28 The Creative Enterprise of Mathematics Teaching Research presents the results and methodology of work of the teaching-research community of practice of the Bronx (TR Team of the Bronx). It has a twofold aim of impacting both teachers of Mathematics and researchers in Mathematics Education. This volume can be used by teachers of mathematics who want to use research to reflect upon and to improve their teaching craft, as well as by researchers who are interested in uncovering riches of classroom learning/teaching for research investigations. This book represents the results of a collaboration of instructors discussing their own instruction research, analyzed through a conceptual framework obtained via the synthesis of creativity research and educational learning theories, based upon the work of Piaget and Vygotsky. The editors see an urgent need for creative synthesis of research and teaching, an example of which is presented in the book. Two central themes of the book are the methodology of TR/NYCity model and creativity, more precisely, creativity of the Aha moment formulated by Arthur Koestler (1964) in a very profound but little known theory of bisociation exposed in his work “The Act of Creation”. Incorporation of the theory of bisociation into classroom teaching of mathematics provides the key to enable students who may struggle with mathematics to engage their own creativity, become involved in their learning process and thus reach their full potential of excellence. Creativity in teaching remedial mathematics is teaching gifted students how to access their own giftedness. |
| example of a mathematical concept map: Integrating the Visual Arts Across the Curriculum Julia Marshall, 2019-09-13 With lots of examples and color images, this resource is both a foundational text and a practical guidebook for bringing contemporary art into elementary and middle school classrooms as a way to make learning joyful and meaningful for all learners. The authors show how asking questions and posing problems spark curiosity and encourage learners to think deeply and make meaningful connections across the curriculum. At the center of their approach is creativity, with contemporary visual art as its inspiration. The text covers methods of creative inquiry-based learning, art and how it connects to the “big ideas” addressed by academic domains, flexible structures teachers can use for curriculum development, creative teaching strategies using contemporary art, and models of art-based inquiry curriculum. Book Features: Provides research-based project ideas and curriculum models for arts integration.Shows how Project Zero’s flexible structures and frameworks can be used to develop creative inquiry and an arts integration curriculum.Explains how contemporary visual art connects to the four major disciplines—science, mathematics, social studies, and language arts.Includes full-color images of contemporary art that are appropriate for elementary and middle school learners.Demonstrates how arts integration can and should be substantive, multi-dimensional, and creative. “If you long for an arts classroom that connects students to the astonishingly interesting world they live in and want some helpful guidance on how to do it, this is the book for you!” —From the Foreword by Connie Stewart, University of Northern Colorado |
| example of a mathematical concept map: The First Sourcebook on Nordic Research in Mathematics Education Bharath Sriraman, Simon Goodchild, Christer Bergsten, Gudbjorg Palsdottir, Lenni Haapasalo, Bettina Dahl Søndergaard, 2010-09-01 The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections co-ordinated by active researchers in mathematics education in Norway, Sweden, Iceland, Denmark, and Finland. The purpose of this sourcebook is to synthesize and survey the established body of research in these countries with findings that have influenced ongoing research agendas, informed practice, framed curricula and policy. The sections for each country also include historical articles in addition to exemplary examples of recently conducted research oriented towards the future. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside the Nordic countries. |
EXAMPLE Definition & Meaning - Merriam-Webster
The meaning of EXAMPLE is one that serves as a pattern to be imitated or not to be imitated. How to use example in a sentence. Synonym Discussion of Example.
EXAMPLE | English meaning - Cambridge Dictionary
EXAMPLE definition: 1. something that is typical of the group of things that it is a member of: 2. a way of helping…. Learn more.
EXAMPLE Definition & Meaning | Dictionary.com
one of a number of things, or a part of something, taken to show the character of the whole. This painting is an example of his early work. a pattern or model, as of something to be imitated or …
Example - definition of example by The Free Dictionary
1. one of a number of things, or a part of something, taken to show the character of the whole. 2. a pattern or model, as of something to be imitated or avoided: to set a good example. 3. an …
Example Definition & Meaning - YourDictionary
To be illustrated or exemplified (by). Wear something simple; for example, a skirt and blouse.
EXAMPLE - Meaning & Translations | Collins English Dictionary
An example of something is a particular situation, object, or person which shows that what is being claimed is true. 2. An example of a particular class of objects or styles is something that …
example noun - Definition, pictures, pronunciation and usage …
used to emphasize something that explains or supports what you are saying; used to give an example of what you are saying. There is a similar word in many languages, for example in …
Example - Definition, Meaning & Synonyms - Vocabulary.com
An example is a particular instance of something that is representative of a group, or an illustration of something that's been generally described. Example comes from the Latin word …
example - definition and meaning - Wordnik
noun Something that serves as a pattern of behaviour to be imitated (a good example) or not to be imitated (a bad example). noun A person punished as a warning to others. noun A parallel …
EXAMPLE Synonyms: 20 Similar Words - Merriam-Webster
Some common synonyms of example are case, illustration, instance, sample, and specimen. While all these words mean "something that exhibits distinguishing characteristics in its …
EXAMPLE Definition & Meaning - Merriam-Webster
The meaning of EXAMPLE is one that serves as a pattern to be imitated or not to be imitated. How to use example in a sentence. Synonym Discussion of Example.
EXAMPLE | English meaning - Cambridge Dictionary
EXAMPLE definition: 1. something that is typical of the group of things that it is a member of: 2. a way of helping…. Learn more.
EXAMPLE Definition & Meaning | Dictionary.com
one of a number of things, or a part of something, taken to show the character of the whole. This painting is an example of his early work. a pattern or model, as of something to be imitated or …
Example - definition of example by The Free Dictionary
1. one of a number of things, or a part of something, taken to show the character of the whole. 2. a pattern or model, as of something to be imitated or avoided: to set a good example. 3. an …
Example Definition & Meaning - YourDictionary
To be illustrated or exemplified (by). Wear something simple; for example, a skirt and blouse.
EXAMPLE - Meaning & Translations | Collins English Dictionary
An example of something is a particular situation, object, or person which shows that what is being claimed is true. 2. An example of a particular class of objects or styles is something that has …
example noun - Definition, pictures, pronunciation and usage notes ...
used to emphasize something that explains or supports what you are saying; used to give an example of what you are saying. There is a similar word in many languages, for example in French …
Example - Definition, Meaning & Synonyms - Vocabulary.com
An example is a particular instance of something that is representative of a group, or an illustration of something that's been generally described. Example comes from the Latin word for …
example - definition and meaning - Wordnik
noun Something that serves as a pattern of behaviour to be imitated (a good example) or not to be imitated (a bad example). noun A person punished as a warning to others. noun A parallel or …
EXAMPLE Synonyms: 20 Similar Words - Merriam-Webster
Some common synonyms of example are case, illustration, instance, sample, and specimen. While all these words mean "something that exhibits distinguishing characteristics in its category," …
