Problem-Solving Strategies

Problem-Solving Strategies PDF 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.

Maths Problem Solving Year 4

Maths Problem Solving Year 4 PDF Author: Catherine Yemm
Publisher: Andrews UK Limited
ISBN: 085747362X
Category : Education
Languages : en
Pages : 88

Book Description
Maths Problem Solving - Year 4 is the fourth of six books in the Maths Problem Solving series. The books have been written for teachers to use during the numeracy lesson. They cover the 'solving problem' objectives from the numeracy framework. This book contains three chapters; Making decisions, Reasoning about numbers or shapes and Problems involving 'real life', money or measures. The books are designed in such a way that each section has six stages of questions to be worked through. Every stage is split into three levels, for example 1a, 1b or 1c, based on achievement. Each corresponding question from these levels follow the same line of questioning, so that when the teacher talks about a certain question, the solution process is the same for each level but the complexity of the sum varies.

Open Middle Math

Open Middle Math PDF 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

Street-Fighting Mathematics PDF 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.

Maths Plus

Maths Plus PDF Author: Harry O'Brien
Publisher:
ISBN: 9780195564334
Category : Mathematics
Languages : en
Pages : 0

Book Description
Maths Plus In-Stage Composite Series for New South Wales is the first and only maths program designed for composite classes. The Maths Plus Student Books have sequentially developed, clearly explained mathematical concepts to develop problem-solving and thinking skills. The Student Books relate directly to the Mentals and Homework Books as well as the Teaching Guides. The revised series: focuses teaching to clearly defined outcomes promotes differentiated learning to cater for all students' needs is designed to give students a thorough understanding of mathematics follows a clear progression of mathematical skills and understandings from Kindergarten to Year 6 encourages students to realise that there are many different ways of solving a problem and that there may be multiple solutions to a given problem develops students' mental computation skills builds students' confidence and enthusiasm for mathematics.

Primary Problem Solving in Math

Primary Problem Solving in Math PDF 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!

Best Foot Forward

Best Foot Forward PDF Author: Leila Boukarim
Publisher: Penguin Random House Sea
ISBN: 9789814867214
Category : Juvenile Fiction
Languages : en
Pages : 32

Book Description
Take control over how your day turns out, regardless of wobbles! Chirpy Mrs Wong makes every day as lovely as can be. But when her morning is off to a wobbly start, Mrs Wong loses her cool. It is only when she catches a glimpse of herself that she sees it might not be too late to turn things around.

New Wave Mental Maths: Book G

New Wave Mental Maths: Book G PDF 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.
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