Understanding how numbers go together and come apart, how number operations are related to each other: number sense, is key to students' comprehension of higher levels of mathematics. Using these materials will help students see the interconnectedness of numbers, as well as giving them practice manipulating numbers.For each hexagon, any two numbers can be given, and the other numbers can be found. The simplest case is to give the x and y number and then students follow the operation...

Math is patterns. Understanding this fundamental idea is a key to a greater appreciation of mathematics. If students are familiar with various patterns in math, and are geared to look for patterns, they will have a better understanding of how numbers go together, and come apart. They will see relationships between numbers.This unit is a way to help students recognize, seek out, and understand math as patterns. By looking at the properties of each number of the days of the school ye...

This unit adddresses the Common Core Standards for 6th Grade Statistics and Probability. The unit covers different types of graphs that show measures of center and/or measures of spread: histograms, line plots, stem and leaf, and box and whisker, as well as review of bar graphs. Lists of topics are included.

This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and t...

The Really Useful Maths Book is for all those who want children to enjoy the challenge of learning mathematics. With suggestions about the best ways to use resources and equipment to support learning, it describes in detail how to make learning the easy option for children. An easy-to-follow, comprehensive guide packed with ideas and activities, it is the perfect tool to help teachers who wish to develop their teaching strategies.The second edition has been fully updated i...

In the second book in the Uncomplicating Mathematics Series, professional developer Marian Small shows teachers how to uncomplicate the teaching of algebra by focusing on the most important ideas that students need to grasp. Organized by grade level around the Common Core State Standards for Mathematics, Small shares approaches that will lead to a deeper and richer understanding of algebra for both teachers and students. The book opens with a clear discussion of algebraic thinking...

We know that Differentiated Instruction helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math content: Open questions and Parallel tasks. Showing teachers how to get started and become expert with these strategies, this book also demonstrates how to use mo...

This book guides readers through the professional standards and requirements to reach Qualified Teacher Status, explaining what trainees need to know. The author discusses the best ways of developing mathematical knowledge and teaching skills, and how to acquire the professional know-how needed to complete the training successfully.will:help readers to understand the Standards related to mathematics teachingoffer detailed guidance on the primary mathematics c...

Although proportional reasoning is not formally introduced as a topic in the Common Core and other mathematics curricula until 6th grade, introducing its fundamental ideas in the early grades helps students develop essential skills in ratios, percentages, and other proportional representations when they reach the upper grades. The author takes this complex subject and crafts examples and questions that help teachers see the larger purpose in teaching concepts, such as unitizing, and how th...

Being a critical reader of numerical information is an integral part of being literate in today’s data-drenched world. Uniquely addressing both mathematics and language issues, this text shows how critical readers dig beneath the surface of data to better evaluate their usefulness and to understand how numbers are constructed by authors to portray a certain version of reality. Engaging, concise, and rich with examples and clear connections to classroom practice, it provides a framework of ...

This book presents a research focus on diversity and inclusivity in mathematics education. The challenge of diversity, largely in terms of student profiles or contextual features, is endemic in mathematics education, and is often argued to require differentiation as a response. Typically different curricula, text materials, task structures or pedagogies are favoured responses, but huge differences in achievement still result. If we in mathematics education seek to challenge that status quo...

This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors s...