Open Middle Math

Open Middle Math

Author: Robert Kaplinsky

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 193

ISBN-13: 1003839886

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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.


Arnold's Problems

Arnold's Problems

Author: Vladimir I. Arnold

Publisher: Springer Science & Business Media

Published: 2004-06-24

Total Pages: 664

ISBN-13: 9783540206149

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Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research


Maths Problem Solving Year 6

Maths Problem Solving Year 6

Author: Catherine Yemm

Publisher: Andrews UK Limited

Published: 2012-11-30

Total Pages: 89

ISBN-13: 0857473646

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Maths Problem Solving - Year 6 is the sixth book 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.


Maths Problem Solving Toolkit

Maths Problem Solving Toolkit

Author: Lucy Simonds

Publisher: Heinemann

Published: 2004-08

Total Pages: 132

ISBN-13: 0435218255

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The mixed-year Problem-Solving Toolkit (Teacher Book and CD): Provides ideas for teaching the full range of problem-solving strategies. Offers guidance on when to use each strategy Contains a planning chart for integration alongside any maths topic. Includes problems for pupils to practise each strategy. Includes mixed problems where pupils can decide which strategy to use.


Guided Math Workshop

Guided Math Workshop

Author: Laney Sammons

Publisher: Teacher Created Materials

Published: 2017-03-01

Total Pages: 234

ISBN-13: 1425816541

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This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.


How to Solve it

How to Solve it

Author: George PĆ³lya

Publisher: Princeton University Press

Published: 2014

Total Pages: 288

ISBN-13: 069116407X

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"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.


Explore More Cards

Explore More Cards

Author: Helen Lewis

Publisher:

Published: 2012

Total Pages: 56

ISBN-13: 9781927190685

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Contains a variety of maths word problems for Years 4 to 8. The activities are in card format and are designed so that individual students can work on them independently, but they are also suitable for group work or whole class teaching. Contains links the the New Zealand, Australian and United Kingdom curricula.


Maths Problem Solving Ages 5-7

Maths Problem Solving Ages 5-7

Author: Louise Carruthers

Publisher:

Published: 2006-06-19

Total Pages: 96

ISBN-13: 9780439965569

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Teach children problem-solving strategies with these imaginative and creative maths problems. This book shows how once children have learned the different approaches they can become independent creative thinkers and systematically apply their skills. * Problems are set in creative contexts to engage and motivate children. * Plenty of visual and hands-on resources used to cater for different learning styles. * Support for more and less able provided. * Plenty of follow-up suggestions for further work for children to apply their knowledge. * Full colour examples of pupil work included.