Download or read book Implementing Problem Solving in the Intermediate Mathematics Classroom written by Maxwell S. King and published by . This book was released on 2005 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Open Middle Math written by Robert Kaplinsky and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Implementing the Common Core State Standards Through Mathematical Problem Solving written by Theresa J. Gurl and published by Lawrence Erlbaum Associates. This book was released on 2012 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics educators have long recognised the importance of helping students to develop problem-solving skills. More recently, they have searched for the best ways to provide their students with the knowledge encompassed in the Common Core State Standards (CCSS). This volume is one in a series from NCTM that equips classroom teachers with targeted, highly effective problems for achieving both goals at once. The 44 problems and tasks for students in this book are organised into the major areas of the high school Common Core: algebra, functions, geometry, statistics and probability, and number and quantity. Examples of modelling, the other main CCSS area, are incorporated throughout. Every domain that is required of all mathematics students is represented. For each task, teachers will find a rich, engaging problem or set of problems to use as a lesson starting point. An accompanying discussion ties these tasks to the specific Common Core domains and clusters they help to explore. Follow-up sections highlight the relevant CCSS Standards for Mathematical Practice that students will engage in as they work on these problems. This book provides high school mathematics teachers with dozens of problems they can use as is, adapt for their classrooms, or be inspired by while creating related problems on other topics. For every mathematics educator, the books in this series will help to illuminate a crucial link between problem solving and the Common Core State Standards.
Download or read book Strategies for Common Core Mathematics written by Leslie Texas and published by Routledge. This book was released on 2013-11-20 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, practical book provides an explanation of each of the eight mathematical practices and gives middle school educators specific instructional strategies that align with the Common Core State Standards for Mathematics. Math teachers, curriculum coordinators, and district math supervisors get practical ideas on how to engage middle school students in mathematical practices, develop problem-solving skills, and promote higher-order thinking. Learn how to scaffold activities across grades and get strategies you can implement immediately in your classroom. All middle school mathematics educators should have this book in their professional libraries!
Download or read book Implementing Problem Based Instruction in Secondary Mathematics Classrooms written by Sarah Ferguson and published by Teachers College Press. This book was released on 2024-03-22 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem-based instruction (PBI) is a research-based, student-centered instructional strategy that uses rich mathematical tasks to connect students’ previously acquired math knowledge to new mathematical concepts. Unlike traditional teaching and learning strategies, PBI facilitates learning by making connections between mathematical concepts and real-world applications rather than through noncontextual, rote learning of skills, steps, and equations. This practical resource is an informative instructional tool for secondary mathematics teachers and teacher educators seeking to deepen their students’ understanding of, and engagement with, mathematical learning. Highlighting both teacher and student perspectives, the text provides an overview of the PBI instructional strategy that includes best practices, guidance for implementation, and 50 downloadable resources. In addition, readers will find 12 teacher-created sample lessons with prepared resources and detailed instructional guides. While written for novice PBI users, this book will enhance the instruction of teachers at all levels. Book Features: Provides 12 ready-to-use sample lesson plans aligned to the most common secondary mathematics topics. Focuses on the practical implementation of problem-based instruction specifically for middle and high school mathematics instruction. Includes a template to guide readers step-by-step through creating their own problem-based lessons. Contains links to more than 50 editable, online resources for easy classroom implementation.
Download or read book Implementing Standards based Mathematics Instruction written by Mary Kay Stein and published by Teachers College Press. This book was released on 2000 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.
Download or read book Problem Solving in the Mathematics Classroom written by Ana Kuzle and published by WTM-Verlag Münster. This book was released on 2016-06-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem solving is a cornerstone of the school mathematics curricula in many countries, as it is an essential part of mathematical knowledge and performance. Implementation of problem solving in school mathematics is also important for meeting society’s needs with respect to work, school, and life – as well as for stimulating the interest and enthusiasm of students. Countries such as Finland, Germany, Hungary, and Slovenia have a long tradition of problem solving in school mathematics. Each country has faced its own specific challenges when adopting problem solving as a constituent part of school mathematics. But through this process they have gained experience and discovered chances for integrating problem solving into mathematics lessons. The heart of achieving this mission lies in choosing good mathematical problems. Good mathematical problems are those that are not too difficult and not too easy, are interesting, challenging, and mathematically rich. They should invite students to conjecture and to explore different strategies, support extending their existing knowledge, and allow for problem extension. In this book, the reader will find such rich mathematical problems – targeting students at different school levels – that can help cultivate a problem solving culture. The book provides the coherence and direction from different perspectives that practitioners need when integrating problem solving into their teaching practices and using problem solving to teach mathematics. We believe, that the processes which accompany problem solving, contribute to both the development of students’ mathematical reasoning and to the development of their sense of autonomy.
Download or read book How to Solve it written by George Pólya and published by Princeton University Press. This book was released on 2014 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.
Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.
Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.
Download or read book Problem solving Strategies In Mathematics From Common Approaches To Exemplary Strategies written by Alfred S Posamentier and published by World Scientific Publishing Company. This book was released on 2015-03-05 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In doing so, first the common approach is shown, and then a more elegant strategy is provided. Elementary mathematics is used so that the reader can focus on the strategy and not be distracted by some more sophisticated mathematics.
Download or read book Teachers Perceptions of a Teaching and Learning Action Plan for the Development and Implementation of Problem Solving Strategies in Middle School Mathematics written by Jessica E. Shambaugh and published by . This book was released on 2018 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Declining standardized test scores due to the increased rigor of curricular standards is a problem for many school districts in the United States. To combat this issue, administrative teams develop plans to better meet the needs of teachers and students. The purpose of this case study is to identify teachers' perceptions of an action plan that addressed declining test scores through the development and implementation of problem-solving strategies in the classroom. The researcher interviewed six middle school teachers and two school administrators regarding their experiences and perceptions working with the math action plan. Open-ended interviews with all 8 participants informed answers to the following research questions: 1) How do middle school math teachers in a residential school perceive the impact of an action plan on their development and implementation of effective teaching strategies for problem-solving in a mathematics classroom? 2) What evidence is there that the action plan influenced teachers' instructional strategies related to teaching problem-solving in the mathematics classroom? 3) What supports, and constraints do teachers identify that benefit or impede their ability to implement components of the action plan? In addition to open-ended interviews, the researcher also analyzed the action plan, teacher lesson plans, and previously analyzed student achievement data. Based on the participants' shared experiences and the researcher's analysis, four themes emerged: shift in curriculum and instructional strategies, time as a negative and positive factor, the effectiveness of professional development, and collaboration. Teachers expressed a strong focus on professional development and the need to increase reading and writing in the math classroom. The researcher determined multiple recommendations to improve instruction through the findings of this study.
Download or read book Mathematics Professional Development written by Hilda Borko and published by Teachers College Press. This book was released on 2015 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource will help school leaders and other professional development providers conduct ongoing, structured learning opportunities for mathematics teachers (K–12). The authors present models for professional development and the preparation of PD leaders designed and field-tested as part of two research projects supported by the National Science Foundation. The Problem-Solving Cycle model and the Mathematics Leadership Preparation model focus on topics of primary interest to mathematics teachers—mathematics content, classroom instruction, and student learning. They are intentionally designed so that they can be tailored to meet the needs and interests of participating teachers and schools. Through engaging vignettes, the authors describe the models, summarize key research findings, and share lessons learned. The book also includes detailed examples of workshop activities for both teachers and PD leaders. Book Features: Supports teachers’ learning and teaching of math in line with current reform principles.Develops math teachers’ capacity to foster students’ learning of the CCSSM content and practices.Prepares teacher leaders to facilitate professional development.Illustrates the use of video as part of professional development.Includes examples of workshop activities for teachers and teacher leaders. “This book presents an approach to teacher professional learning that integrates many popular ideas in the field, such as teacher leadership, evidence-based practice, and teacher learning communities. It avoids the superficiality that plagues so many treatments of these themes, offering readers depth, substance, detail, and clarity. This will surely be a valuable resource for educational leaders and professional development specialists seeking research-based ways to assist teachers to engage effectively in ambitious mathematics instruction that enables students to understand mathematics deeply and to use it effectively to solve problems.” —Edward A. Silver, William A. Brownell Collegiate Professor of Education & Professor of Mathematics, University of Michigan “Mathematics Professional Development delivers the details we need but can rarely access. The authors detail a research-based, principled approach to school-based professional development that supports teachers in taking on the continual improvement of their practice.” —Megan Franke, professor, UCLA
Download or read book Problem Solving Strategies for Efficient and Elegant Solutions Grades 6 12 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2008-03-20 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.
Download or read book Using and Applying Mathematics at Key Stage 2 written by Elaine Sellars and published by Routledge. This book was released on 2013-07-04 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: All pupils - able children included - need to be taught strategies to enable their thinking skills to progress. They also need help with developing different approaches to problem solving. A sustained piece of work that requires perseverance, logical strategies, and refinement of method and extension of the original task is not the same as a straightforward quick-fix type problem. Both types of problem solving need to be taught. This book presents a series of activities that can be used with whole classes to provide a curriculum for the teaching of problem solving and the development of thinking skills. Each tried and tested investigation is clearly explained with ideas on how to introduce the task to a class, full solutions and resource sheets. Activities include prisoners: a fun way of generating square numbers; handshakes: exploring arithmetic progressions; T-shape: an activity to lead pupils from numerical calculations to algebraic generalizations; frogs: encouraging systematic working and listing; and opposite corners: an advanced piece of work for independent learners.
Download or read book Implementing the Common Core State Standards Through Mathematical Problem Solving written by Theresa J. Gurl and published by . This book was released on 2013 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics educators have long worked to help students to develop problem-solving skills. More recently, they have sought to provide students with the knowledge in the Common Core State Standards (CCSS). This volume is the second in a series from NCTM that equips classroom teachers with targeted, highly effective problems for achieving both goals at once. For every mathematics educator, the books in this series will illuminate a crucial link between problem solving and the Common Core State Standards. The 37 problems and tasks for students in this book are organised into the major areas of the Common Core for grades 6-8: ratios and proportional relationships; the number system; geometry; statistics and probability; and expressions, equations, and functions. For each task, teachers will find a rich, engaging problem or set of problems to use as a lesson starting point, with accompanying discussions that tie the tasks to specific Common Core domains and clusters. This book provides middle school mathematics teachers with dozens of problems they can use as is, adapt for their classrooms, or be inspired by while creating related problems on other topics. For every mathematics educator, the books in this series will help to illuminate a crucial link between problem solving and the Common Core State Standards.
Download or read book Teaching Mathematical Problem Solving written by Jason Frand and published by . This book was released on 2018-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A PICO's or any teacher's guide to preparing his/her students for the rigors of high level problem-solving by using techniques developed by the author in his own classroom.
