This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

Open-ended Maths Activities Second Edition is the revised and expanded edition of the best-selling title by Peter Sullivan and Pat Lilburn. It discusses a type of open-ended, problem-solving question called a 'good' question. These questions enhance learning, teaching and assessment and are a useful addition to a teacher's strategies. It includes: practical advice on how to create your own 'good' questions to use within the classroom organised by subject area and levels (upper, middle and junior) the sixteen topics covered are included within Number, Measurement, Space and Chance and Data.

This engaging open access book discusses how a values and valuing perspective can facilitate a more effective mathematics pedagogical experience, and allows readers to explore multiple applications of the values perspective across different education systems. It also clearly shows that teaching mathematics involves not only reasoning and feelings, but also students’ interactions with their cultural setting and each other. The book brings together the work of world leaders and new thinkers in mathematics educational research to improve the learning and teaching of mathematics. Addressing themes such as discovering hidden cultural values, a multicultural society and methodological issues in the investigation of values in mathematics, it stimulates readers to consider these topics in cross-cultural ways, and offers suggestions for research and classroom practice. It is a valuable resource for scholars of mathematics education, from early childhood through to higher education and an inspiring read for all mathematics teachers.

Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K–8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, Small also demonstrates more inclusive learning conversations that promote broader student participation and mathematical thinking required by CCSS. Specific strategies and examples for each grade band are organized around NCTM content strands: Number and Operations, Geometry, Measurement, Algebra, and Data Analysis and Probability.

Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies—Open Questions and Parallel Tasks—to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6–12 math.Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.Offers questions and tasks that teachers and coaches can adopt immediately or use as models to create their own, along with scaffolding and consolidating questions.Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.

This is a unique book with nearly 1000 problems and 50 case studies on open-ended problems in every key topic in chemical engineering that helps to better prepare chemical engineers for the future. The term "open-ended problem" basically describes an approach to the solution of a problem and/or situation for which there is not a unique solution. The Introduction to the general subject of open-ended problems is followed by 22 chapters, each of which addresses a traditional chemical engineering or chemical engineering-related topic. Each of these chapters contain a brief overview of the subject matter of concern, e.g., thermodynamics, which is followed by sample open-ended problems that have been solved (by the authors) employing one of the many possible approaches to the solutions. This is then followed by approximately 40-45 open-ended problems with no solutions (although many of the authors' solutions are available for those who adopt the book for classroom or training purposes). A reference section is included with the chapter's contents. Term projects, comprised of 12 additional chapter topics, complement the presentation. This book provides academic, industrial, and research personnel with the material that covers the principles and applications of open-ended chemical engineering problems in a thorough and clear manner. Upon completion of the text, the reader should have acquired not only a working knowledge of the principles of chemical engineering, but also (and more importantly) experience in solving open-ended problems. What many educators have learned is that the applications and implications of open-ended problems are not only changing professions, but also are moving so fast that many have not yet grasped their tremendous impact. The book drives home that the open-ended approach will revolutionize the way chemical engineers will need to operate in the future.

Many leaders are unaware of the amazing power of questions. Our conversations may be full of requests and demands, but all too often we are not asking for honest and informative answers, and we don’t know how to listen effectively to responses. When leaders start encouraging questions from their teams, however, they begin to see amazing results. Knowing the right questions to ask—and the right way to listen—will give any leader the skills to perform well in any situation, effectively communicate a vision to the team, and achieve lasting success across the organization. Thoroughly revised and updated, Leading with Questions will help you encourage participation and teamwork, foster outside-the-box thinking, empower others, build relationships with customers, solve problems, and more. Michael Marquardt reveals how to determine which questions will lead to solutions to even the most challenging issues. He outlines specific techniques of active listening and follow-up, and helps you understand how questions can improve the way you work with individuals, teams, and organizations. This new edition of Leading with Questions draws on interviews with thirty leaders, including eight whose stories are new to this edition. These interviews tell stories from a range of countries, including Singapore, Guyana, Korea, and Switzerland, and feature case studies from prominent firms such as DuPont, Alcoa, Novartis, and Cargill. A new chapter on problem-solving will help you apply questions to your toughest situations as a leader, and a new “Questions for Reflection” section at the end of each chapter will help you bring Marquardt’s message into all of your work as a leader. Now more than ever, Leading with Questions is the definitive guide for becoming a stronger leader by identifying—and asking—the right questions.

The authors of Make Just One Change argue that formulating one’s own questions is “the single most essential skill for learning”—and one that should be taught to all students. They also argue that it should be taught in the simplest way possible. Drawing on twenty years of experience, the authors present the Question Formulation Technique, a concise and powerful protocol that enables learners to produce their own questions, improve their questions, and strategize how to use them. Make Just One Change features the voices and experiences of teachers in classrooms across the country to illustrate the use of the Question Formulation Technique across grade levels and subject areas and with different kinds of learners.

Communication research is evolving and changing in a world of online journals, open-access, and new ways of obtaining data and conducting experiments via the Internet. Although there are generic encyclopedias describing basic social science research methodologies in general, until now there has been no comprehensive A-to-Z reference work exploring methods specific to communication and media studies. Our entries, authored by key figures in the field, focus on special considerations when applied specifically to communication research, accompanied by engaging examples from the literature of communication, journalism, and media studies. Entries cover every step of the research process, from the creative development of research topics and questions to literature reviews, selection of best methods (whether quantitative, qualitative, or mixed) for analyzing research results and publishing research findings, whether in traditional media or via new media outlets. In addition to expected entries covering the basics of theories and methods traditionally used in communication research, other entries discuss important trends influencing the future of that research, including contemporary practical issues students will face in communication professions, the influences of globalization on research, use of new recording technologies in fieldwork, and the challenges and opportunities related to studying online multi-media environments. Email, texting, cellphone video, and blogging are shown not only as topics of research but also as means of collecting and analyzing data. Still other entries delve into considerations of accountability, copyright, confidentiality, data ownership and security, privacy, and other aspects of conducting an ethical research program. Features: 652 signed entries are contained in an authoritative work spanning four volumes available in choice of electronic or print formats. Although organized A-to-Z, front matter includes a Reader’s Guide grouping entries thematically to help students interested in a specific aspect of communication research to more easily locate directly related entries. Back matter includes a Chronology of the development of the field of communication research; a Resource Guide to classic books, journals, and associations; a Glossary introducing the terminology of the field; and a detailed Index. Entries conclude with References/Further Readings and Cross-References to related entries to guide students further in their research journeys. The Index, Reader’s Guide themes, and Cross-References combine to provide robust search-and-browse in the e-version.