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| topics in mathematical literacy: Assessing Mathematical Literacy Kaye Stacey, Ross Turner, 2014-11-03 This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept of mathematical literacy are discussed, highlighting the underlying themes of mathematics as preparation for life after school and mathematical modelling of the real world, and clarifying PISA’s position within this part of the mathematics education territory. The PISA mathematics framework is introduced as a significant milestone in the development and dissemination of these ideas. The underlying mathematical competencies on which mathematical literacy so strongly depends are described, along with a scheme to use them in item creation and analysis. The development and implementation of the PISA survey and the consequences for the outcomes are thoroughly discussed. Different kinds of items for both paper-based and computer-based PISA surveys are exemplified by many publicly released items along with details of scoring. The novel survey of the opportunity students have had to learn the mathematics promoted through PISA is explained. The book concludes by surveying international impact. It presents viewpoints of mathematics educators on how PISA and its constituent ideas and methods have influenced teaching and learning practices, curriculum arrangements, assessment practices, and the educational debate more generally in fourteen countries. |
| topics in mathematical literacy: For All Practical Purposes , 2009 By the Consortium for Mathematics and Its Applications. |
| topics in mathematical literacy: Visible Learning for Mathematics, Grades K-12 John Hattie, Douglas Fisher, Nancy Frey, Linda M. Gojak, Sara Delano Moore, William Mellman, 2016-09-15 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. |
| topics in mathematical literacy: Teaching Numeracy Margie Pearse, K. M. Walton, 2011-03-23 Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts. |
| topics in mathematical literacy: Count Me In! K-5 Judy Storeygard, 2014-09-09 Between the pressure to meet standards and the overwhelming number of different learning needs of students, planning math lessons has become more complex. In this Judith Storeygard provides proven approaches to understanding the behaviors of children with special needs and effectively teaching all students. Using research-based and field-tested methodology, this book’s teaching strategies include differentiated instruction, with an emphasis on co-teaching between general educators and special educators. Included are examples from teachers who have put these techniques into practice and guidelines for reproducing their successes in your classroom. Key topics include: Strategies for teaching students with autism, ADHD, and various learning disabilities Ways to develop students’ cognitive flexibility How to help learners plan, organize and self-monitor in mathematics class A new focus on mathematical strengths and learning ability rather than on deficits and labels There are numerous resources to help teachers address literacy needs, but few address mathematics. Count Me In! will bring out the full potential in all of your students—and in you as an educator. |
| topics in mathematical literacy: The Math Myth Andrew Hacker, 2018-04-03 Andrew Hacker's 2012 New York Times op-ed questioning our current mathematics requirements instantly became one of the the paper's most widely circulated articles. Why, he wondered, do we inflict algebra, geometry, trigonometry, and even calculus on all young Americans, regardless of their interests or aptitudes? The Math Myth expands Hacker's scrutiny of many widely held assumptions, such as the notion that mathematics broadens our minds, that mastery of azimuths and asymptotes will be needed for most jobs, that the entire Common Core syllabus should be required of every student. He worries that a frenzied emphasis on STEM is diverting attention from other pursuits and subverting the spirit of the country. Though Hacker honors mathematics as a calling (he has been a professor of mathematics) and extols its glories and its goals, he shows how mandating it for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and utilizing statistics. The Math Myth is sure to spark a heated and needed national conversation not just about mathematics but about the kind of people and society we want to be.--Publisher's Web site. |
| topics in mathematical literacy: Integrating Literacy and Math Ellen Fogelberg, Carole Skalinder, Patti Satz, Barbara Hiller, Lisa Bernstein, Sandra Vitantonio, 2013-10-15 Many K–6 teachers--and students--still think of mathematics as a totally separate subject from literacy. Yet incorporating math content into the language arts block helps students gain skills for reading many kinds of texts. And bringing reading, writing, and talking into the math classroom supports the development of conceptual knowledge and problem solving, in addition to computational skills. This invaluable book thoroughly explains integrated instruction and gives teachers the tools to make it a reality. Grounded in current best practices for both language arts and math, the book includes planning advice, learning activities, assessment strategies, reproducibles, and resources, plus a wealth of examples from actual classrooms. |
| topics in mathematical literacy: On the Money Susan A. Peters, 2016-04-01 |
| topics in mathematical literacy: Mathematics Curriculum Topic Study Page Keeley, Cheryl M. Rose, 2006-04-06 This book addresses the needs of teachers at every level in their teaching careers, as well as those who support and work with teachers. The processes can be used individually to guide professional learning and teaching, or within almost any professional development structure for facilitating group learning. -Katherine E. Stiles, Senior Program Associate, WestEd This resource supports continual professional growth of both content and pedagogical knowledge and will help teachers focus on the appropriate research. What a time saver this is! -Rhonda Naylor, National Board Certified Mathematics Teacher Campus Middle School, Englewood, CO Attain the tools to plan and incorporate standards-based instruction that positively impacts student achievement! Becoming an accomplished mathematics teacher requires not only a thorough understanding of content, but also a familiarity with mathematics standards and research. However, a strategy for translating standards and research into instructional practice has been lacking since the advent of standards-based education reform. Mathematics Curriculum Topic Study provides a systematic professional development strategy that links mathematics standards and research to curriculum, instruction, and assessment. Developed by authors Page Keeley and Cheryl M. Rose of the Maine Mathematics and Science Alliance, the NSF-funded Curriculum Topic Study (CTS) process can help educators align their practice with research-based concepts and skills required in local, state, and national standards. Successfully field-tested with hundreds of teachers, mathematics coordinators, and staff developers, this book contains 92 ready-to-use CTS guides arranged in seven categories that are aligned with NCTM content and process standards. Designed to work in a variety of contexts, the CTS process will help teachers: Increase their content and pedagogical knowledge Better understand and access mathematics research Translate standards to the classroom in a conscious, scholarly way Learn to recognize and address learning difficulties Increase opportunities for all students to achieve mathematical literacy An essential investment toward improving student achievement in mathematics for K-12 teachers, staff developers, directors of curriculum, department chairs and math educators, this innovative resource is also appropriate for preservice teachers and preservice higher education faculty. |
| topics in mathematical literacy: Numeracy for All Learners Pamela D. Tabor, Dawn Dibley, Amy J. Hackenberg, Anderson Norton, 2020-09-30 Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs. It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs from Pre-K through secondary school. Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework. |
| topics in mathematical literacy: Teaching Math to Multilingual Students, Grades K-8 Kathryn B. Chval, Erin Smith, Lina Trigos-Carrillo, Rachel J. Pinnow, 2021-01-07 Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction. |
| topics in mathematical literacy: Literacy Strategies for Improving Mathematics Instruction Joan M. Kenney, 2005 An eye-opening look at how teachers can use literacy strategies to help students better understand mathematics. |
| topics in mathematical literacy: Mathematical Modelling Education and Sense-making Gloria Ann Stillman, Gabriele Kaiser, Christine Erna Lampen, 2020-05-14 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. |
| topics in mathematical literacy: Mine the Gap for Mathematical Understanding, Grades K-2 John SanGiovanni, 2016-10-31 Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our young learners’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct gap commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see. |
| topics in mathematical literacy: Answers to Your Biggest Questions About Teaching Elementary Math John J. SanGiovanni, Susie Katt, Latrenda D. Knighten, Georgina Rivera, 2021-08-31 This practical resource provides brief, actionable answers to the most pressing questions about teaching elementary math. Question and answer sections include how to build a positive math community; how to structure, organize, and manage math classes; how to engage students and help them talk about math, and how to assess knowledge and move forward. |
| topics in mathematical literacy: Connecting Mathematical Ideas Jo Boaler, Cathy Humphreys, 2005 In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In Connecting Mathematical Ideas, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. Connecting Mathematical Ideas contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within Connecting Mathematical Ideas and find new ways to help your students connect with math. |
| topics in mathematical literacy: Uncovering Student Thinking in Mathematics Cheryl M. Rose, Leslie Minton, Carolyn Arline, 2006-12-20 Uncovering Student Thinking in Mathematics shows us ways to listen and observe children and their mathematical understandings so we can find better ways to help them take their next learning steps. This book is a gift to educators who ′seek to understand before being understood.′ —From the Foreword by Anne Davies A fresh and unique resource for mathematics teachers who recognize the importance of carefully establishing the starting points of instruction in terms of what students already know. The collection of assessment probes is inventive, engaging for students, and invaluable for teachers. —Richard H. Audet, Associate Professor, Roger Williams University Use formative assessment probes to take the guesswork out of mathematics instruction and improve learning! Students learn at varying rates, and if a misconception in mathematics develops early, it may be carried from year to year and obstruct a student′s progress. To identify fallacies in students′ preconceived ideas, Uncovering Student Thinking in Mathematics offers educators a powerful diagnostic technique in the form of field-tested assessment probes—brief, easily administered activities to determine students′ thinking on core mathematical concepts. Designed to question students′ conceptual knowledge and reveal common understandings and misunderstandings, the probes generate targeted information for modifying mathematics instruction, allowing teachers to build on students′ existing knowledge and individually address their identified difficulties. Linked to National Council of Teachers of Mathematics standards, this invaluable handbook assists educators with: 25 ready-to-use mathematical probes Teacher guides for implementing each probe at any grade level Examples of typical obstacles and faulty thinking demonstrated by students This rich resource combines standards, educational research findings, and practical craft knowledge to help teachers deliver informed instruction that strengthens all students′ learning and achievement in mathematics. |
| topics in mathematical literacy: Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 Jennifer M. Bay-Williams, John J. SanGiovanni, 2021-03-02 Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: Seven Significant Strategies to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers. |
| topics in mathematical literacy: A Leader's Guide to Mathematics Curriculum Topic Study Page Keeley, Cheryl Rose Tobey, Catherine E. Carroll, 2012-05-30 The Curriculum Topic Study (CTS) process, funded by the National Science Foundation, helps teachers improve their practice by linking standards and research on how children learn mathematics to classroom practice. Keyed to the core book Mathematics Curriculum Topic Study, this resource helps maths professional development leaders. |
| topics in mathematical literacy: Mathematize It! [Grades K-2] Kimberly Morrow-Leong, Sara Delano Moore, Linda M. Gojak, 2020-04-23 This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources. John SanGiovanni Coordinator, Elementary Mathematics Howard County Public School System, Ellicott City, MD Help students reveal the math behind the words I don’t get what I’m supposed to do! This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades K-2 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades K-2 · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division · Demonstrates the use of concrete manipulatives to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it! |
| topics in mathematical literacy: The Five Practices in Practice [High School] Margaret (Peg) Smith, Michael D. Steele, Miriam Gamoran Sherin, 2020-02-26 This book makes the five practices accessible for high school mathematics teachers. Teachers will see themselves and their classrooms throughout the book. High school mathematics departments and teams can use this book as a framework for engaging professional collaboration. I am particularly excited that this book situates the five practices as ambitious and equitable practices. Robert Q. Berry, III NCTM President 2018-2020 Samuel Braley Gray Professor of Mathematics Education, University of Virginia Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your high school classrooms and learn to apply them with confidence. This follow-up to the modern classic, 5 Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in high school classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions. The chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through · Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion—before class begins · Video excerpts from real high school classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students’ ideas, and successful approaches for selecting, sequencing, and connecting students’ ideas during instruction · Pause and Consider prompts that help you reflect on an issue—and, in some cases, draw on your own classroom experience—prior to reading more about it · Linking To Your Own Instruction sections help you implement the five practices with confidence in your own instruction The book and companion website provide an array of resources including planning templates, sample lesson plans, completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom. |
| topics in mathematical literacy: Second International Handbook of Mathematics Education Alan Bishop, 2003-06-30 This handbook should be a useful resource for students, researchers, teacher educators and curriculum policy makers in the field of mathematics education. It is a follow-up to the first handbook, which laid down the base-line in many areas of the field of mathematics education. |
| topics in mathematical literacy: PISA 2022 Assessment and Analytical Framework OECD, 2023-08-31 This report presents the conceptual foundations of the OECD Programme for International Student Assessment (PISA), now in its eighth cycle of comprehensive and rigorous international surveys of student knowledge and skills that are essential for full participation in modern societies. As in previous cycles, the 2022 PISA assessment covered reading, mathematics and science, with a major focus on mathematics, plus an evaluation of students’ creative thinking and financial literacy skills. |
| topics in mathematical literacy: The 9th Annual International Seminar on Trends in Science and Science Education (AISTSSE) 2022 , 2023-10-04 This is the ninth time we are hosting this seminar and we are proud to inform you that this seminar is an annual event in our calendar and has been held every year since 2014. This year, for the third year, we are holding it via Zoom meeting (online meeting) due to Covid-19 pandemic. We are inviting internationally recognized speakers from several countries to share their latest discoveries in the fields of Biology, Chemistry, Physics, Mathematics and Science Education. Well-known researchers in science and science education will share their experiences and knowledge so that we can stay up-to-date with the latest information. This is one of the goals of this seminar. As science researchers, we realize the importance of information exchange among us. The new information enlightens our minds and gives us ideas on what to do next in our research and how to do it. This new information often becomes the foundation for our next project in particular and sets the research trends for the upcoming year in general. Information exchange also keeps us updated, allowing us to give and receive suggestions and critiques that will lead to better results. Therefore, we need a forum where we can share and exchange information. Seminars, conferences, and other scientific gatherings are the media through which we can do this. Organizer Faculty of Mathematics and Natural Sciences of Universitas Negeri Medan Where Web Seminar via Zoom Meeting When Tuesday, 8th November 2022 Theme The development of industrial-based research in science and science education to improve research innovation strategy Topics: AISTSSE-2020 included following topics: 1. Mathematics Science 2. Mathematics Education 3. Physics Science 4. Physics Education 5. Biology Science 6. Biology Education 7. Chemistry Science 8. Chemistry Education 9. Computer Science 10.Science Education Scientific Committee 1. Prof. Dr. Syawal Gultom, M.Pd, Universitas Negeri Medan (Indonesia) 2. Prof. Dr. Marleen Kamperman, University of Groningen (Netherland) 3. Prof. Manihar Situmorang, M.Sc., Ph.D , Universitas Negeri Medan (Indonesia) 4. Prof. Tsunenori Mine, School of Engineering, Department of Electrical Engineering and Computer Science, Kyushu University (Japan) 5. Prof. Dian Armanto, M.Pd, Universitas Negeri Medan (Indonesia) 6. Prof. Dr. Herbert Sipahutar, M.Sc , Universitas Negeri Medan (Indonesia) 7. Prof. Abedel Karrem Nasser M Alomari Department of Mathematics, Faculty of Science, Yarmouk University (Jordan) 8. Prof. Dr. Bornok Sinaga, M.Pd , Universitas Negeri Medan (Indonesia) 9. Prof. Dr. Muhammad Sattar Rasul Universitas Kebangsaan Malaysia, (Malaysia) 10. Prof. Motlan, M.Sc., Ph.D , Universitas Negeri Medan (Indonesia) 11. Prof. Dr. Asmin, M.Pd , Universitas Negeri Medan (Indonesia) 12. Prof. Dr. Fauziyah Harahap, M.Si, Universitas Negeri Medan (Indonesia) 13. Prof. Dr. Mukhtar, M.Pd , Universitas Negeri Medan (Indonesia) 14. Prof. Dr. Pargaulan Siagian, M.Pd , Universitas Negeri Medan (Indonesia) 15. Prof. Dr. Sahat Saragih, M.Pd , Universitas Negeri Medan (Indonesia) 16. Prof. Dr. Edi Syahputra, M.Pd , Universitas Negeri Medan (Indonesia) 17. Prof. Dr. Hasratuddin, M.Pd , Universitas Negeri Medan (Indonesia) 18. Prof. Dr. Ramlan Silaban, M.Si, Universitas Negeri Medan (Indonesia) 19. Prof. Dr. Retno Dwi Suyanti, M.Si , Universitas Negeri Medan (Indonesia) 20. Prof. Dr. Nurdin Bukit, M.Si , Universitas Negeri Medan (Indonesia) 21. Prof. Dr. Sahyar, M.S , Universitas Negeri Medan (Indonesia) 22. Prof. Dr. rer. nat. Binari Manurung, M.Si , Universitas Negeri Medan (Indonesia) 23. Prof. Dr. Makmur Sirait, M.Si , Universitas Negeri Medan (Indonesia) 24. Prof. Dr. Eva Marlina Ginting, M.Si , Universitas Negeri Medan (Indonesia) 25. Prof. Dr. Drs. Tri Harsono, M.Si, Universitas Negeri Medan (Indonesia) 26. Prof. Dr. Martina Restuati, M.Si, Universitas Negeri Medan (Indonesia) 27. Prof. Drs. Zul Amry, M.Si., Ph.D, Universitas Negeri Medan (Indonesia) Supported by: FORUM MIPA LPTK INDONESIA |
| topics in mathematical literacy: Understanding Machine Learning Shai Shalev-Shwartz, Shai Ben-David, 2014-05-19 Introduces machine learning and its algorithmic paradigms, explaining the principles behind automated learning approaches and the considerations underlying their usage. |
| topics in mathematical literacy: The Learning and Teaching of Algebra Abraham Arcavi, Paul Drijvers, Kaye Stacey, 2016-06-23 IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the problématique of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides. |
| topics in mathematical literacy: Topics and Trends in Current Statistics Education Research Gail Burrill, Dani Ben-Zvi, 2018-12-29 This book focuses on international research in statistics education, providing a solid understanding of the challenges in learning statistics. It presents the teaching and learning of statistics in various contexts, including designed settings for young children, students in formal schooling, tertiary level students, and teacher professional development. The book describes research on what to teach and platforms for delivering content (curriculum), strategies on how to teach for deep understanding, and includes several chapters on developing conceptual understanding (pedagogy and technology), teacher knowledge and beliefs, and the challenges teachers and students face when they solve statistical problems (reasoning and thinking). This new research in the field offers critical insights for college instructors, classroom teachers, curriculum designers, researchers in mathematics and statistics education as well as policy makers and newcomers to the field of statistics education. Statistics has become one of the key areas of study in the modern world of information and big data. The dramatic increase in demand for learning statistics in all disciplines is accompanied by tremendous growth in research in statistics education. Increasingly, countries are teaching more quantitative reasoning and statistics at lower and lower grade levels within mathematics, science and across many content areas. Research has revealed the many challenges in helping learners develop statistical literacy, reasoning, and thinking, and new curricula and technology tools show promise in facilitating the achievement of these desired outcomes. |
| topics in mathematical literacy: A Mathematician Reads the Newspaper John Allen Paulos, 2013-09-10 John Allen Paulos is a master at shedding mathematical lights on our everyday world:What exactly did Lani Guinier say about quotas?What is the probability of identifying a murderer through DNA testing?Which are the real risks to our health and which the phony ones?Employing the same fun-filled, user-friendly, and quirkily insightful approach that put Innumeracy on best-seller lists, Paulos now leads us through the pages of the daily newspaper, revealing the hidden mathematical angles of countless articles. From the Senate, the SATs, and sex to crime, celebrities, and cults, Paulos takes stories that may not seem to involve mathematics at all and demonstrates how mathematical naïtéan put readers at a distinct disadvantage.Whether he's using chaos theory to puncture economic and environmental predictions, applying logic and self-reference to clarify the hazards of spin doctoring and news compression, or employing arithmetic and common sense to give us a novel perspective on greed and relationships, Paulos never fails to entertain and enlighten.Even if you hated math in school, you'll love the numerical vignettes in this book. |
| topics in mathematical literacy: AECon 2020 Saefurrohman, Malim Muhammad, Heri Nurdiyanto , 2021-08-19 The 6th Asia Pasific Education and Science Conference (AECON ) 2020 was conducted on 19-20 December 2020, at Universitas Muhammadiyah Purwokerto, Purwokerto, Indonesia. The Theme of AECON 2020 is Empowering Human Development Through Science and Education. The goals of AECON 2020 is to establish a paradigm that emphasizes on the development of integrated education and science though the integration of different life skills in order to improve the quality of human development in education and science around Asia Pacific nations, particularly Indonesia. |
| topics in mathematical literacy: Measuring Student Knowledge and Skills A New Framework for Assessment OECD, 1999-06-11 A New Framework for Assessment, the first volume in the PISA series, provides the conceptual framework on which the PISA 2000 assessment is based. |
| topics in mathematical literacy: Topics and Trends in Current Science Education Catherine Bruguière, Andrée Tiberghien, Pierre Clément, 2013-11-19 This book features 35 of best papers from the 9th European Science Education Research Association Conference, ESERA 2011, held in Lyon, France, September 5th-9th 2011. The ESERA international conference featured some 1,200 participants from Africa, Asia, Australia, Europe as well as North and South America offering insight into the field at the end of the first decade of the 21st century. This book presents studies that represent the current orientations of research in science education and includes studies in different educational traditions from around the world. It is organized into six parts around the three poles (content, students, teachers) and their interrelations of science education: after a general presentation of the volume (first part), the second part concerns SSI (Socio-Scientific Issues) dealing with new types of content, the third the teachers, the fourth the students, the fifth the relationships between teaching and learning, and the sixth the teaching resources and the curricula. |
| topics in mathematical literacy: Comparing mathematics content in the National Assessment of Educational Progress (NEAP), Trends in International Mathematics and Science Study (TIMSS), and Program for International Student Assessment (PISA) 2003 assessments technical report. , 2006 |
| topics in mathematical literacy: Mathematical Literacy, Grade 12 Karen Morrison, Karen Press, 2014-05 Study & Master Mathematical Literacy Grade 10 has been especially developed by an experienced author team according to the Curriculum and Assessment Policy Statement (CAPS). This new and easy-to-use course helps learners to master essential content and skills in Mathematical Literacy. The Teacher's File includes: - a weekly teaching schedule, divided into the four terms to guide the teacher on what to teach - extra project templates for teachers to choose from - solutions to all the activities in the Learner's Book. |
| topics in mathematical literacy: Proceedings Of The 14th International Congress On Mathematical Education (In 2 Volumes) Jianpan Wang, 2024-06-07 The International Congress on Mathematical Education (ICME) is the largest international conference on mathematics education in the world. This quadrennial event is organized under the auspices of the International Commission on Mathematical Instruction (ICMI). This book, the Proceedings of ICME-14, presents the latest trends in mathematics education research and mathematics teaching practices at all levels. Each chapter covers an extensive range of topics in mathematics education.Volume I consists of 4 Plenary Lectures, 3 Plenary Panels, 5 Lectures of Awardees, 4 Survey Teams, 62 Topic Study Groups, 13 Discussion Groups, 20 Workshops, a Thematic Afternoon, and an Early Career Researcher Day. Plenary Lectures recognize substantial and continuing contributions to the growth of the field of Mathematics Education. Plenary Panels address three major challenges currently facing mathematics educators across the globe. The Survey Teams have a particular emphasis on identifying and characterizing important new knowledge, recent developments, new perspectives, and emergent issues. The Topic Study Groups provides a coverage of important topics in mathematics education.Volume II consists of 50 invited lectures which present the work and reflections of both established and emerging researchers from around the world. These lectures cover a wide spectrum of topics, themes and issues that reflect the latest challenges and development in the field of mathematics education. |
| topics in mathematical literacy: K-12 Mathematics Education In Israel: Issues And Innovations Nitsa Movshovitz-hadar, 2018-02-28 The book provides the reader with a multifaceted picture of mathematics education in Israel, put into an international perspective where relevant. It is intended to give an overview of a wide range of topics covering issues such as raising and maintaining motivation, search for excellence, treatment of difficulties, teacher education, language issues, minorities issues, curriculum changes over the first 70 years of the state of Israel, and many more. This includes aspects of research and practice into the teaching and learning of mathematics, innovation, developments, policy, achievements, and implementation with some international comparison as well. |
| topics in mathematical literacy: Critical Issues in Mathematics Education Philip Clarkson, Norma C. Presmeg, 2008-09-22 Critical Issues in Mathematics Education presents the significant contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues, each of which have had paramount importance in the development of mathematics education research, are reviewed and include a discussion of current developments in each area. Teacher decision making, spatial/visualizing geometry, teachers and research, cultural/social aspects of mathematics education, sociopolitical issues, and values serve as the basic issues discussed in this examination of mathematics education over the last fifty years during which Professor Bishop has been active in the field. A comprehensive discussion of each of these topics is realized by offering the reader a classic research contribution of Professor Bishop’s together with commentary and invited chapters from leading experts in the field of mathematics education. Critical Issues in Mathematics Education will make an invaluable contribution to the ongoing reflection of mathematic education researchers worldwide, but also to policy makers and teacher educators who wish to understand some of the key issues with which mathematics education has been and still is concerned, and the context within which Professor Bishop’s key contributions to these research issues were made. |
| topics in mathematical literacy: Current Studies in Pre-service Teacher Education Hakkı Bağcı, Nigar Pösteki, 2019-08-01 In recent decades, learning another language and educating people with appropriate skills that address the requirements of the modern world have become significant issues. Today, around two billion people learn and use English to some extent, and this number is expected to rise. In the same vein, recent rapid technological advancements have made it mandatory to adjust the education system to the requirements of this era. Currently, in the field of pre-service education, various new approaches are being applied. This book will provide the reader with the chance to read about and understand contemporary topics, approaches and methodologies in education in various fields. In this sense, it will be an essential resource for undergraduate, graduate and PhD students and researchers wishing to learn about the recent developments in pre-service teacher education. |
| topics in mathematical literacy: Lessons and Activities for Building Powerful Numeracy Pamela Weber Harris, 2014 Building Powerful Numeracy for Middle and High School Students brought the world of research on numeracy at the elementary level to the secondary level, helping teachers build numeracy in their students and showing how that work supports students in understanding higher math. Now, Pam Harris continues her work by offering lessons and activities that promote her strategies for teaching as much mathematics as possible with as little memorization as possible. Two types of activities for building numeracy are included in this workbook: Student Workouts include reproducible worksheets that students can work on independently or in pairs, followed by robust class discussion to promote understanding of the ideas. Teacher Directed Activities are whole-class mini-lessons designed to help students construct numerical relationships as they work with the teacher. While the student workouts provide starting points for students to build important numerical relationships and choose effective strategies, the teacher directed activities provide opportunities for discussing, comparing, modeling, verbalizing strategies, finding and describing patterns, and making generalizations. Together they help develop the mathematical habits of mind that students need for higher math. |
| topics in mathematical literacy: Financial Education for Youth The Role of Schools OECD, 2014-04-07 This publication addresses the challenges linked to the introduction of financial education in schools, provides practical guidance and case studies to assist policy makers, as well as a comparative analysis of existing learning frameworks. |
| topics in mathematical literacy: PISA The PISA 2003 Assessment Framework Mathematics, Reading, Science and Problem Solving Knowledge and Skills OECD, 2004-03-02 The PISA 2003 Assessment Framework presents the conceptual underpinning of the PISA 2003 assessments. Within each assessment area, the volume defines the content that students need to acquire, the processes that need to be performed and the contexts in which knowledge and skills are applied. |
TOPIC Definition & Meaning - Merriam-Webster
Jun 2, 2025 · The meaning of TOPIC is the subject of a discourse or of a section of a discourse. How to use topic in a sentence.
TOPIC Synonyms: 57 Similar and Opposite Words - Merriam …
Jun 5, 2025 · Synonyms for TOPIC: theme, matter, subject, question, motif, content, idea, essence; Antonyms of TOPIC: tangent, aside, digression, excursion, parenthesis, interjection
How-to Essay Topics for a Process Essay - ThoughtCo
Aug 27, 2024 · Writing Tips for How-To Essay Topics . Some topics are easier than others to explain. Straightforward processes versus ones with lots of contingencies will be much less …
50 Compelling Argumentative Essay Topics - ThoughtCo
50 Compelling Argumentative Essay Topics - ThoughtCo
501 Different Topics for Essays and Speeches
501 Different Topics for Essays and Speeches
TOPICS Synonyms: 59 Similar and Opposite Words - Merriam …
Dec 24, 2024 · Synonyms for TOPICS: themes, matters, subjects, motifs, questions, contents, ideas, issues; Antonyms of TOPICS: excursions, parentheses, tangents, digressions, asides ...
101 Compare and Contrast Essay Topics - ThoughtCo
101 Compare and Contrast Essay Topics - ThoughtCo
Merriam-Webster: America's Most Trusted Dictionary
Find definitions for over 300,000 words from the most authoritative English dictionary. Continuously updated with new words and meanings.
25 Essay Topics for American Government Classes - ThoughtCo
Sep 15, 2019 · 25 Topics . Compare and contrast what is a direct democracy versus representative democracy. React to the following statement: Democratic decision-making …
50 Great Topics for a Process Analysis Essay - ThoughtCo
50 Great Topics for a Process Analysis Essay - ThoughtCo
TOPIC Definition & Meaning - Merriam-Webster
Jun 2, 2025 · The meaning of TOPIC is the subject of a discourse or of a section of a discourse. How to use topic in a sentence.
TOPIC Synonyms: 57 Similar and Opposite Words - Merriam …
Jun 5, 2025 · Synonyms for TOPIC: theme, matter, subject, question, motif, content, idea, essence; Antonyms of TOPIC: tangent, aside, digression, excursion, parenthesis, interjection
How-to Essay Topics for a Process Essay - ThoughtCo
Aug 27, 2024 · Writing Tips for How-To Essay Topics . Some topics are easier than others to explain. Straightforward processes versus ones with lots of contingencies will be much less …
50 Compelling Argumentative Essay Topics - ThoughtCo
50 Compelling Argumentative Essay Topics - ThoughtCo
501 Different Topics for Essays and Speeches
501 Different Topics for Essays and Speeches
TOPICS Synonyms: 59 Similar and Opposite Words - Merriam …
Dec 24, 2024 · Synonyms for TOPICS: themes, matters, subjects, motifs, questions, contents, ideas, issues; Antonyms of TOPICS: excursions, parentheses, tangents, digressions, asides ...
101 Compare and Contrast Essay Topics - ThoughtCo
101 Compare and Contrast Essay Topics - ThoughtCo
Merriam-Webster: America's Most Trusted Dictionary
Find definitions for over 300,000 words from the most authoritative English dictionary. Continuously updated with new words and meanings.
25 Essay Topics for American Government Classes - ThoughtCo
Sep 15, 2019 · 25 Topics . Compare and contrast what is a direct democracy versus representative democracy. React to the following statement: Democratic decision-making …
50 Great Topics for a Process Analysis Essay - ThoughtCo
50 Great Topics for a Process Analysis Essay - ThoughtCo
