Problem-Solving Strategies

Problem-Solving Strategies
Author: Arthur Engel
Publisher: Springer Science & Business Media
Total Pages: 404
Release: 2008-01-19
Genre: Mathematics
ISBN: 0387226419

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Putting the Practices Into Action

Putting the Practices Into Action
Author: Susan O'Connell
Publisher: Heinemann Educational Books
Total Pages: 0
Release: 2013
Genre: Education
ISBN: 9780325046556

The Standards for Mathematical Practice promise to elevate students' learning of math from knowledge to application and bring rigor to math classrooms. Here, the authors unpack each of the eight Practices and provide a wealth of practical ideas and activities to help teachers quickly integrate them into their existing math program.

How to Differentiate Instruction in Mixed-ability Classrooms

How to Differentiate Instruction in Mixed-ability Classrooms
Author: Carol A. Tomlinson
Publisher: ASCD
Total Pages: 128
Release: 2001
Genre: Education
ISBN: 0871205122

Offers a definition of differentiated instruction, and provides principles and strategies designed to help teachers create learning environments that address the different learning styles, interests, and readiness levels found in a typical mixed-ability classroom.

Productive Math Struggle

Productive Math Struggle
Author: John J. SanGiovanni
Publisher: Corwin
Total Pages: 217
Release: 2020-03-09
Genre: Education
ISBN: 1544369433

All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work

Building Thinking Classrooms in Mathematics, Grades K-12

Building Thinking Classrooms in Mathematics, Grades K-12
Author: Peter Liljedahl
Publisher: Corwin Press
Total Pages: 454
Release: 2020-09-28
Genre: Education
ISBN: 1544374844

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

How to Give Effective Feedback to Your Students, Second Edition

How to Give Effective Feedback to Your Students, Second Edition
Author: Susan M. Brookhart
Publisher: ASCD
Total Pages: 154
Release: 2017-03-10
Genre: Education
ISBN: 141662306X

Properly crafted and individually tailored feedback on student work boosts student achievement across subjects and grades. In this updated and expanded second edition of her best-selling book, Susan M. Brookhart offers enhanced guidance and three lenses for considering the effectiveness of feedback: (1) does it conform to the research, (2) does it offer an episode of learning for the student and teacher, and (3) does the student use the feedback to extend learning? In this comprehensive guide for teachers at all levels, you will find information on every aspect of feedback, including • Strategies to uplift and encourage students to persevere in their work. • How to formulate and deliver feedback that both assesses learning and extends instruction. • When and how to use oral, written, and visual as well as individual, group, or whole-class feedback. • A concise and updated overview of the research findings on feedback and how they apply to today's classrooms. In addition, the book is replete with examples of good and bad feedback as well as rubrics that you can use to construct feedback tailored to different learners, including successful students, struggling students, and English language learners. The vast majority of students will respond positively to feedback that shows you care about them and their learning. Whether you teach young students or teens, this book is an invaluable resource for guaranteeing that the feedback you give students is engaging, informative, and, above all, effective.