Open Middle Math

Open Middle Math
Author: Robert Kaplinsky
Publisher: Taylor & Francis
Total Pages: 193
Release: 2023-10-10
Genre: Education
ISBN: 1003839886

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

Open-Ended Maths Activities
Author: Peter Sullivan
Publisher:
Total Pages: 112
Release: 2004
Genre: Mathematics
ISBN: 9780195517682

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.

Values and Valuing in Mathematics Education

Values and Valuing in Mathematics Education
Author: Philip Clarkson
Publisher: Springer
Total Pages: 222
Release: 2019-04-24
Genre: Education
ISBN: 3030168921

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.

Open-ended Maths Investigations

Open-ended Maths Investigations
Author: Ann Baker
Publisher: Blake Education
Total Pages: 56
Release: 2006
Genre: Mathematics
ISBN: 9781921143540

"Provides teachers with open-ended investigations matched to all strands of mathematics (number, money, measurement, space, chance and data, patterns and algebra.)" -- T.p. verso.

Good Questions

Good Questions
Author: Marian Small
Publisher: Teachers College Press
Total Pages: 241
Release: 2012-01-01
Genre: Education
ISBN: 0807753130

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.

Open-Ended Problems

Open-Ended Problems
Author: James Patrick Abulencia
Publisher: John Wiley & Sons
Total Pages: 491
Release: 2015-03-27
Genre: Technology & Engineering
ISBN: 1118946057

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.

More Good Questions

More Good Questions
Author: Marian Small
Publisher: Teachers College Press
Total Pages: 290
Release: 2022
Genre: Education
ISBN: 0807780987

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.

Open-Ended Maths Activities

Open-Ended Maths Activities
Author: Peter Sullivan
Publisher:
Total Pages: 103
Release: 1997
Genre: Mathematics
ISBN: 9780195540994

Teachers recognise the importance of asking questions which promote higher level thinking and a variety of thinking strategies. "Open-ended Maths Activities" discusses a type of open-ended, problem-solving question called a 'good' question. Because these questions enhance larning, teaching and assessment they are a useful addition to a teacher's strategies. Part One sets out the features of 'good' questions, gives practical advice on how to create your own 'good' questions and shows you how to use them in the classroom. Part Two. contains a selection of 'good' questions. They are clearly set out in three sections for each mathematical subject: upper, middle and junior.

Good Questions for Math Teaching

Good Questions for Math Teaching
Author: Peter Sullivan
Publisher: Math Solutions
Total Pages: 113
Release: 2002
Genre: Education
ISBN: 0941355519

Open-ended questions, coined ï¿1⁄2good questionsï¿1⁄2 by the authors, can prompt children to think creatively and critically. This useful book helps teachers define ï¿1⁄2good questions,ï¿1⁄2 offers teachers tips on how to create their own good questions, and presents a wide variety of sample questions that span 16 mathematical topics, including number, measurement, geometry, probability, and data.