Problem-Solving Strategies

Author: Arthur Engel
Publisher: Springer Science & Business Media
ISBN: 0387226419
Category : Mathematics
Languages : en
Pages : 404

Book Description
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.

Open Middle Math

Author: Robert Kaplinsky
Publisher: Taylor & Francis
ISBN: 1003839886
Category : Education
Languages : en
Pages : 193

Book Description
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.

Street-Fighting Mathematics

Author: Sanjoy Mahajan
Publisher: MIT Press
ISBN: 0262265591
Category : Education
Languages : en
Pages : 152

Book Description
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

Primary Problem Solving in Math

Author: Jack A. Coffland
Publisher: Good Year Books
ISBN: 9780673387455
Category : Education
Languages : en
Pages : 206

Book Description
Educational resource for teachers, parents and kids!

New Wave Mental Maths: Book G

Author: Eddy Steven Krajcar
Publisher:
ISBN: 9781921750052
Category : Mathematics
Languages : en
Pages : 124

Book Description
"New wave mental maths is a series of student workbooks, written to provide a comprehensive and structured daily mental maths program for students in Australian primary schools."--Foreword.

Problem Solving Strategies

Author: Ken Johnson
Publisher:
ISBN:
Category : Matemáticas
Languages : en
Pages : 576

Book Description

Helping Children Learn Mathematics

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

How to Solve it

Author: George Pólya
Publisher: Princeton University Press
ISBN: 069116407X
Category : Mathematics
Languages : en
Pages : 288

Book Description
"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.

Illustrative Mathematics for Class 4

Author: R. S. Dhauni
Publisher: Goyal Brothers Prakashan
ISBN: 9357262717
Category : Juvenile Nonfiction
Languages : en
Pages : 226

Book Description
Illustrative Mathematics for Primary Classes is an exciting and innovative series which is based on the latest features of the National Education Policy (NEP) 2020 and National Curriculum Framework (NCF) 2023. This series is suitable for all schools affiliated with CBSE, New Delhi. Each chapter has been meticulously crafted to conform with the NCF's Panchpadi, ensuring a comprehensive and cutting-edge learning experience. The concept based age-appropriate activities and assessment section are based on Panchakosha and Pramanas, aiming for the holistic development of the learner. To improve the learning experience, we have seamlessly incorporated 21st century skills and the Sustainable Development Goals (SDGs) into this edition. The components of this series are: • Illustrative Mathematics Books 1 to 5 for primary classes (with online support). • Illustrative Mathematics Teacher's Resource Books 1 to 5 for primary classes. Salient Features of the books in this series are: • A graded and spiralling approach has been used, keeping in mind the age and level of understanding of the child. • Eye-catching illustrations and a child-friendly layout capture the imagination of the child and create an interest in the subject. • Each chapter begins with the heading Warm Up, which refreshes the concepts learnt in the previous class. • Maths Lab Activity helps the children develop different problem-solving strategies. • Puzzles I Riddles encourage children to think critically, analyse information, and apply problem-solving strategies to find solutions. • Games/ Activities to enhance engagement, learning retention, and critical thinking skills while making learning more enjoyable. • Art Integration Activities foster creativity, enhance comprehension, and connect mathematical concepts with Art and Culture. • Sustainable Development Goals (SDGs) to develop insights into critical issues around the world such as poverty, inequality, and environmental sustainability to create a better future for all. • Multiple Choice Questions (MCQs) for better understanding of the lesson. • Value-Based Questions to inculcate moral values in the children. • Fun Time contains out of the box questions which challenge the understanding capacity of the children. • Assignments under Mental Maths not only enhance the mathematical and calculation skills of the children but also cement the concepts learnt. • Competency-Based questions to improve analytical and logical reasoning, and observation skills. • Case Study Based questions to inspire the students to apply the mathematical knowledge acquired, to solve real life problems. Salient Features of the Teacher's Resource Books are: • Learning Objectives of the Lesson • Overview of the Lesson • Teaching-Learning Strategies • Hints for some Selected Problems Salient Features of Online Support are: • Animated Videos/Video Lectures • Interactive Exercises • Chapter-wise Worksheets • Maths Glossary It is hoped that the series will meet the requirements of students, teachers and parents alike. Suggestions and constructive criticism for the improvement of the books would be highly appreciated. -The Publishers

Beast Academy Guide 4A

Author: Jason Batterson
Publisher:
ISBN: 9781934124505
Category :
Languages : en
Pages :

Book Description
Beast Academy Guide 4A and its companion Practice 4A (sold separately) are the first part in the planned four-part series aligned to the Common Core State Standards for 4th grade mathematics. Level 4A includes chapters on shapes, multiplication, and exponents.