Maths Problem Solving Year 3

Maths Problem Solving Year 3
Author: Catherine Yemm
Publisher: Andrews UK Limited
Total Pages: 88
Release: 2011-03-08
Genre: Education
ISBN: 0857473611

Maths Problem Solving - Year 3 is the third 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.

How to Solve it

How to Solve it
Author: George Pólya
Publisher: Princeton University Press
Total Pages: 288
Release: 2014
Genre: Mathematics
ISBN: 069116407X

"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.

The Ultimate Challenge

The Ultimate Challenge
Author: Jeffrey C. Lagarias
Publisher: American Mathematical Society
Total Pages: 360
Release: 2023-04-19
Genre: Mathematics
ISBN: 1470472899

The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000.

Guided Math Workshop

Guided Math Workshop
Author: Laney Sammons
Publisher: Teacher Created Materials
Total Pages: 234
Release: 2017-03-01
Genre: Education
ISBN: 1425816541

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.

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.

You Can, Toucan, Math

You Can, Toucan, Math
Author: David A. Adler
Publisher:
Total Pages: 36
Release: 2007-04-02
Genre: Juvenile Nonfiction
ISBN: 9780823421176

Math is made fun with the help of some colorful birds.

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

Math Problem-solving Packets

Math Problem-solving Packets
Author: Carole E. Greenes
Publisher: Teaching Resources
Total Pages: 0
Release: 2012
Genre: Mathematics
ISBN: 9780545459532

Students get a firm grasp of key problem-solving strategies and meaningful practice in essential number concepts and skills

Maths Problem Solving Toolkit

Maths Problem Solving Toolkit
Author: Lucy Simonds
Publisher: Heinemann
Total Pages: 132
Release: 2004-08
Genre:
ISBN: 0435218255

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.