Making Mathematics Meaningful ─ For Students in the Primary Grades shares practical suggestions and unique strategies that will contribute to making mathematics meaningful for young learners. Werner Liedtke is a former elementary educator who has partnered with primary teachers in the classroom environment and authored and co-authored several books and articles about mathematics teaching, learning and assessment, and specific aspects of the mathematics curriculum. He brings a wealth of expertise while sharing valuable information that helps educators, tutors, and parents who homeschool, reach the major goals of the mathematics curriculum. Liedtke includes suggestions for accurate assessment and reporting as well as prompts that illustrate question strategies, all while providing fun and imaginative activities that will help students: - Develop number sense - visualize numbers. - Develop spatial sense - imagery and visual thinking. - Learn basic addition and subtraction facts. - Develop mental mathematics strategies. - Foster problem solving abilities, confidence, and mathematical reasoning. The strategies and activities included in this compendium will not only help young learners reach success with mathematics and encourage creative thinking, but will also contribute to their language development, reading comprehension, and the development of evaluative skills.

Making Mathematics Meaningful-For Students in the Intermediate Grades is an invaluable resource for anyone interested in helping students reach the key learning outcomes of any mathematics curriculum. Developed through live and videotaped classroom observation and through diagnostic and achievement interviews with students, Making Mathematics Meaningful is a research-based guide to mathematics education that eschews outdated models based primarily and memorization and repetition in favor of a more holistic approach that encourages students to develop their mathematical reasoning skills through problem solving. This approach not only teaches students to become critical thinkers, but also contributes to language development, reading comprehension, and evaluative skills. Author Werner W. Liedtke offers advice on developing questioning strategies and creating practice tasks to ensure that students encounter the critical components of a mathematics program. For each topic, he provides assessment strategies and identifies key prerequisite skills and ideas that can be used for pre-tests, diagnostic purposes, or introductory teaching/learning settings. Making Mathematics Meaningful teaches students to - improve written and oral communication; - connect ideas to previous learning and to settings outside the classroom; - discover strategies for personal estimation and mental mathematics; - learn through problem solving; - develop curiosity, perseverance, and confidence.

Making Math Accessible for English Language Learners provides practical classroom tips and suggestions to strengthen the quality of classroom instruction for teachers of mathematics. The tips and suggestions are based on research in practices and strategies that address the affective, linguistic, and cognitive needs of English language learners. Although this resource centers on teaching English language learners, many of the tips and suggestions benefit all students. Making Math Accessible for English Language Learners follows five case studies of composite student profiles throughout the book with opportunities for reflection to increase personal awareness of both the teacher’s role and students’ needs in the mathematics classroom, tasks to provide interaction with the content of the book, and hot tips for ideas applicable to real-world classroom situations.

Hands-On Problem Solving is an easy-to-use resource that helps teachers plan and implement best practices for teaching problem solving throughout the school year.

This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.

This practical book helps middle and high school mathematics teachers effectively reach English learners in their classrooms. Designed for teachers who have had limited preparation for teaching mathematics to English learners, the guide offers an integrated approach to teaching mathematics content and English language skills, including guidance on best instructional practices from the field, powerful and concrete strategies for teaching mathematics content along with academic language, and sample lesson scenarios that can be implemented immediately in any mathematics class. It includes: Rubrics to help teachers identify the most important language skills at five ELD levels Practical guidance and tips from the field Seven scaffolding strategies for differentiating instruction Seven tools to promote mathematical language Assessment techniques and accommodations to lower communication barriers for English learners Three integrated lesson scenarios demonstrating how to combine and embed these various strategies, tools, techniques, and approaches Chapter topics include teaching inquiry-based mathematics, understanding first and second language development, teaching the language of mathematics, scaffolding mathematics learning, and applying strategies in the classroom.

To reach all your math students, use your brain—and theirs, too! This updated bestseller takes readers to the next level with new brain-friendly strategies backed by the latest research and even more ways to seamlessly incorporate what you learn about your students’ developing minds into your math classroom. Discover the cognitive mechanisms for learning math, explore factors that contribute to learning difficulties, and follow a four-step teaching model that relates classroom experience to real-world applications. Features include: New strategies for motivating adolescents Integration of the arts into mathematics instruction New information on how technology affects attention and memory Expanded sections on number sense and ELL instruction More than 160 new references

Explores ways to teach math principles using children`s books, shows how to connect children with real-world math, and encourages linking text with relevant manipulatives in a hands-on, minds-on, problem-solving environment. Book lists, suggested activities, assessment strategies. and reproducible graphic organizers are included. Primary level.

Navigating MathLand uses a unique lens to focus on how students prefer to learn mathematics. The intent of this book is to provide a guide for parents to help them navigate the thirteen years of their children’s math education (K-12). The book will provide parents with the knowledge and skills they will need to proactively advocate for their children’s preparation for the 21st century workforce.