Jean Moon and Linda Schulman offer practitioners a new approach to assessment-one that is comprehensive, practical, and interactive. Recognizing the process-oriented nature of alternative assessment, they contend that the more we "do" alternative assessment, the more we learn about it. Their book encourages and enhances that "doing" process. Finding the Connections emphasizes the conceptual links among assessment, instruction, and curriculum, focusing on classroom practices in grades K-6. It provides a model for integrating assessment with instruction; ideas for communicating with parents, students, and administrators; and guided opportunities to practice and reflect upon the assessment process. By sharing their experiences, the authors also help readers develop their own assessment methods. Classroom teachers, mathematics educators, mathematics specialists, curriculum developers, administrators, and other practitioners interested in the general field of assessment will find this book essential reading.

Finding the Connections: Linking Assessment, Instruction, and Curriculum in Elementary Mathematics

Children's Books

Dacey, Linda

Moon, Jean

Education & Reference

Heinemann

This book demonstrates how some of the fundamental ideas of algebra can be introduced, developed, and extended. It focuses on repeating and growing patterns, introduces the concepts of variable and equality, and examines relations and functions. Its activities are designed to capture the interest of small children as they investigate growing patterns, use pictures of dogs with varying numbers of spots to solve for missing addends, and use spinners to identify and explore functions. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating Through Algebra in Prekindergarten- Grade 2 (Principles and Standards for School Mathematics Navigations Series)

Small, Marian

Greenes, Carole E.

Cavanagh, Mary C.

Findell, Carol

Reference

Natl Council of Teachers of

Zeroing in on Number and Operations, Grades 3–4 provides thirty research-based, classroom-tested modules that focus on the key mathematical strategies and concepts essential for these elementary grades—whole numbers, addition, and subtraction; multiplication and division; and fractions and decimals—while highlighting the importance of teacher language in the development of those skills. The flipchart format makes it easy to access the key resources: summaries that identify the mathematical focus and associated challenges and misconceptions; instructional strategies and activities that develop conceptual understanding and computation skills; activities and ideas for adjusting the activities to meet individual needs; reproducibles for instructional use; and resources for further reading.

Zeroing In on Number and Operations, Grades 3-4: Key Ideas and Common Misconceptions

Education & Teaching

Collins, Anne

Schools & Teaching

Routledge

Zeroing in on Number and Operations, Grades 1–2 provides thirty research-based, classroom-tested modules that focus on the key mathematical strategies and concepts essential for these primary grades—counting, number sense, and numeration; meaning of addition and subtraction and basic facts; and building computational fluency—while highlighting the importance of teacher language in the development of those skills. The flipchart format makes it easy to access the key resources: summaries that identify the mathematical focus and associated challenges and misconceptions; instructional strategies and activities that develop conceptual understanding and computation skills; activities and ideas for adjusting the activities to meet individual needs; reproducibles for instructional use; and resources for further reading.

Zeroing In on Number and Operations, Grades 1-2: Key Ideas and Common Misconceptions

Zeroing in on Number and Operations, Grades 5–6 provides thirty research-based, classroom-tested modules that focus on the key mathematical strategies and concepts essential for these grades—whole numbers and operations; fractions; and decimals—while highlighting the importance of teacher language in the development of those skills. The flipchart format makes it easy to access the key resources: summaries that identify the mathematical focus and associated challenges and misconceptions; instructional strategies and activities that develop conceptual understanding and computation skills; activities and ideas for adjusting the activities to meet individual needs; reproducibles for instructional use; and resources for further reading.

Zeroing In on Number and Operations, Grades 5-6: Key Ideas and Common Misconceptions

Zeroing in on Number and Operations, Grades 7–8 provides thirty research-based, classroom-tested modules that focus on the key mathematical strategies and concepts essential for these middle school grades—number theory and integers; fractions, decimals, percents; and ratio and proportionality—while highlighting the importance of teacher language in the development of those skills. The flipchart format makes it easy to access the key resources: summaries that identify the mathematical focus and associated challenges and misconceptions; instructional strategies and activities that develop conceptual understanding and computation skills; activities and ideas for adjusting the activities to meet individual needs; reproducibles for instructional use; and resources for further reading.

Zeroing in on Number and Operations, Grades 7-8: Key Ideas and Common Misconceptions

In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulations of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. In the The Xs and Whys of Algebra: Key Ideas and Common Misconceptions, Anne Collins and Linda Dacey provide a set of thirty research-based modules designed to engage all students in mathematical learning that develops conceptual understanding, addresses common misconceptions, and builds key ideas that are essential to future learning.
For use in seventh- to ninth-grade courses focused on an introduction to formal algebra, this flipchart emphasizes five essential algebraic concepts: using variables meaningfully; using multiple representations for expressions; connecting algebra with number; connecting algebra with geometry; and manipulating symbols with understanding. The thirty research-based modules in this spiral-bound flipchart are designed to engage all students in mathematical learning that develops conceptual understanding, addresses common misconceptions, and builds key ideas essential to future learning.
Following the recommendations of the National Council of Teachers of Mathematics and the Common Core State Standards, the modules at this level are organized into three sections: Expressions, Equations, and Functions. Each module begins with the identification of its mathematical focus and the potential challenges and misconceptions associated with those ideas. The "In the Classroom" section then suggests instructional strategies and specific activities to implement with students. The "Meeting Individual Needs" section offers ideas for adjusting the activities to reach a broader range of learners. All modules are supported by one or more reproducibles (located in the appendix), and the "References/Further Reading" section provides resources for enriching your knowledge of the topic and gathering more ideas.
Teachers will want to keep this resource next to their plan book so they will have these ideas at their fingertips throughout the year.

Xs and Whys of Algebra: Key Ideas and Common Misconceptions

Science & Math

Mathematics

For years, students have been taught to cross multiply when presented with proportion problems. Few understood what they were doing or why they were doing it. Rarely were students invited to think about various representations to determine the relationship between the two ratios being compared. The ideas and activities in this guide will help you provide students with the conceptual understanding of ratios and proportional thinking that is essential for solving real-world problems and achieving success in higher-level mathematics. It’s All Relative includes thirty modules, which are aligned to specific Common Core State Standards. Each module in this accessible, spiral-bound flipchart addresses specific mathematical practices and common misconceptions; features timely classroom examples; includes proven, ready-to-use activities; and provides ideas for adapting activities to meet the needs of individual learners. The authors particularly emphasize how to use visual models—tables, tape diagrams, graphs, and double number lines—to represent ratios and proportional thinking. These visual models, which may be new to many teachers, enhance students’ conceptual understanding and improve their ability to solve a wide range of proportional reasoning problems.

It's All Relative: Key Ideas and Common Misconceptions about Ratio and Proportion, Grades 6-7

Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades 3–5 “This is a book full of thoughtful and well-chosen games and puzzles, but it is also a book that offers a lens into how we might include this kind of play in our own classrooms in ways that are deeply meaningful and engaging for our students. It is a book truly rooted in the realities and possibilities of the classroom, which is what makes it such a valuable resource for teachers.” – Kassia Omohundro Wedekind, from the foreword Students love math games and puzzles, but how much are they really learning from the experience? Too often, math games are thought of as just a fun activity or enrichment opportunity. Well Played shows you how to make games and puzzles an integral learning component that provides teachers with unique access to student thinking. The twenty-five games and puzzles in Well Played, which have all been field-tested in diverse classrooms, contain: • explanations of the mathematical importance of each game or puzzle and how it supports student learning; • variations for each game or puzzle to address a range of learning levels and styles; • clear step-by-step directions; and • classroom vignettes that model how best to introduce the featured game or puzzle. The book also includes a separate chapter with suggestions for how to effectively manage games and puzzles in diverse classrooms; reproducibles that provide directions, game boards, game cards, and puzzles; assessment ideas; and suggestions for online games, puzzles, and apps. Well Played will help you tap the power of games and puzzles to engage students in sustained and productive mathematical thinking.

Well Played, Grades 3-5: Building Mathematical Thinking Through Number Games and Puzzles

Bamford- Lynch, Jayne

Gartland, Karen

Students love math games and puzzles, but how much are they really learning from the experience? Too often, math games are thought of as just a fun activity or enrichment opportunity. Well Played shows you how to make games and puzzles an integral learning component that provides teachers with unique access to student thinking. This third book in the series helps you engage students in grades 6–8 in discussions of mathematical ideas and deepen their conceptual understanding. It also helps you develop students’ fluency with number systems; ratio and proportional relationships; expressions and equations, statistics and probability; and patterns, graphs, and functions. The twenty-five games and puzzles in Well Played, which have all been field-tested in diverse classrooms, contain:
<ul>
<li>explanations of the mathematical importance of each game or puzzle and how it supports student learning;</li>
<li>variations for each game or puzzle to address a range of learning levels and styles;</li>
<li>clear step-by-step directions; and</li>
<li>classroom vignettes that model how best to introduce the featured game or puzzle. </li>
</ul>
 The book also includes a separate chapter with suggestions for how to effectively manage games and puzzles in diverse classrooms; reproducibles that provide directions, game boards, game cards, and puzzles; assessment ideas; and suggestions for online games, puzzles, and apps. Well Played will help you tap the power of games and puzzles to engage students in sustained and productive mathematical thinking.

Well Played, Grades 6-8

Humor & Entertainment

Puzzles & Games

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