Improving Mathematics Skills Using Differentiated Instruction with Primary and High School Students


Book Description

Varied academic ability is a problem across the country and is the focus of this action research project report. The four teacher researchers were searching for way to reach all learners with their mathematics instruction. The purpose of the research was to increase mathematical performance in a varied ability math classroom. To address varied ability levels in the classroom, the teacher researchers implemented differentiation instruction and modified three areas of instruction: curriculum, strategies, and student work. The research project was implemented on January 29, 2007 and concluded on May 11, 2007. The participants consisted of 79 math students: 26 grade 10-12 high school students, 53 kindergarten through second grade students, and 25 teachers, for a total of 104 participants. Today's students enter the classroom with different learning experiences and prior knowledge. The teacher researchers encountered academic achievement that ranged from high, medium, and low. The students that performed at a high academic level were often finished with their work early and often left unchallenged. The students that performed below average academically needed constant support and redirection which took away from the teacher's instruction time. The only students that were benefiting were the average students. This research project used a student survey, teacher survey, observation checklist, and pre-test and post-tests to document the problem and found the above to be true. The interventions consisted of cooperative learning lessons, multiple intelligence based lessons, student choice of assignments, and differentiated assignments. Cooperative learning is one way in which teachers can help students learn to work with one another. It allows students to work in groups to achieve a goal. Implementing lessons using Howard Gardner's Multiple Intelligences was another intervention used. Gardner suggests that each individual has the ability to learn in many different ways, yet we all have one preferred learning style. Student choice encourages students to be in charge of their own learning and help them to gain a better sense of personal and social responsibility (Betts, 2004; George, 2005). One way to accommodate for the many levels in today's classrooms is to differentiate assignments to suit individual needs. After reviewing the results of the pre- and post-test data the four teacher researchers noticed a marked change in student performance. However, it was not possible to determine if student success was based on interventions or the fact that the teachers had covered the concepts with the class between testing. Since the pre-tests focused on concepts that had not been covered it is believed that presenting the material would inevitably lead to student progress. The positive change in student performance led us to believe that our interventions were effective in some way. It is believed cooperative learning positively impacted student progress and the teacher researchers plan to continue implementing this strategy. In conclusion, each teacher researcher would like to continue to implement differentiation. With the varied abilities in today's classroom it is necessary to adapt teaching methods to meet different needs. Differentiation is something that cannot be implemented immediately and needs to be well thought out, planned, and gradually implemented. Each teacher researcher felt the frustrations of planning time, time allotted for activities in the classroom, and changing teaching styles in the middle of the year. It is believed these frustrations can be alleviated through proper training and resources. (Contains 6 tables, 27 graphs, and 12 appendices.) [Master of Arts Action Research Project, Saint Xavier University.].




Styles and Strategies for Teaching High School Mathematics


Book Description

One key to raising achievement in mathematics is to recognize that all students have preferred styles of thinking and learning. By rotating teaching strategies, you can reach learners through their preferred styles, as well as challenge students to think in other styles. Styles and Strategies for Teaching High School Mathematics provides a set of powerful, research-based strategies to help high school teachers differentiate mathematics instruction and assessment according to their students' learning styles. Presenting four distinct mathematical learning styles--Mastery, Understanding, Self-Expressive, and Interpersonal--this book offers classroom-tested instructional strategies that can be mixed and matched to reach all learners. Compatible with any curriculum or textbook, the book: - Explains how the strategies address NCTM process standards and students' learning styles - Includes step-by-step directions, examples, and planning considerations for each strategy - Provides reproducible forms for implementing the strategies - Offers variations and ways to adapt each strategy to meet a variety of instructional demands With assessment components woven throughout, this invaluable guide helps high school mathematics teachers effectively reach and teach today's adolescents.




Leading and Managing a Differentiated Classroom


Book Description

Today’s teachers are responsible for a greater variety of learners with a greater diversity of needs than ever before. When you add in the ever-changing dynamics of technology and current events, the complexity of both students’ and teachers’ lives grows exponentially. Far too few teachers, however, successfully teach the whole class with the individual student in mind. In Leading and Managing a Differentiated Classroom, Carol Ann Tomlinson and Marcia B. Imbeau tackle the issue of how to address student differences thoughtfully and proactively. The first half of the book focuses on what it means for a teacher to effectively lead a differentiated classroom. Readers will learn how to be more confident and effective leaders for and in student-focused and responsive classrooms. The second half of the book focuses on the mechanics of managing a differentiated classroom. A teacher who has the best intentions, a dynamic curriculum, and plans for differentiation cannot—and will not—move forward unless he or she is at ease with translating those ideas into classroom practice. In other words, teachers who are uncomfortable with flexible classroom management will not differentiate instruction, even if they understand it, accept the need for it, and can plan for it. Tomlinson and Imbeau argue that the inherent interdependence of leading and managing a differentiated classroom is at the very heart of 21st-century education. This essential guide to differentiation also includes a helpful teacher’s toolkit of activities and teaching strategies that will help any teacher expand his or her capacity to make room for and work tirelessly on behalf of every student.




Math for All


Book Description

Embrace the diverse spectrum of abilities, interests, and learning styles among students with this powerful series. Each book offers practical, research-based guidance to differentiating instruction in the mathematics classroom. The authors provide: dozens of ready-to-use differentiated tasks (including reproducibles), along with ways to scaffold mathematical learning; strategies for providing and structuring choice within classrooms; guidance in leading large-group discussions when students are completing different activities; and engaging ways to address NCTM's Principles and Standards for School Mathematics and Curriculum Focal Points.




Differentiation in Middle and High School


Book Description

In this one-stop resource for middle and high school teachers, Kristina J. Doubet and Jessica A. Hockett explore how to use differentiated instruction to help students be more successful learners--regardless of background, native language, learning style, motivation, or school savvy. They explain how to * Create a healthy classroom community in which students' unique qualities and needs are as important as the ones they have in common. * Translate curriculum into manageable and meaningful learning goals that are fit to be differentiated. * Use pre-assessment and formative assessment to uncover students' learning needs and tailor tasks accordingly. * Present students with avenues to take in, process, and produce knowledge that appeal to their varied interests and learning profiles. * Navigate roadblocks to implementing differentiation. Each chapter provides a plethora of practical tools, templates, and strategies for a variety of subject areas developed by and for real teachers. Whether you’re new to differentiated instruction or looking to expand your repertoire of DI strategies, Differentiation in Middle and High School will show you classroom-tested ways to better engage students and help them succeed every day.




Styles and Strategies for Teaching Middle School Mathematics


Book Description

Mathematics teachers face many challenges in today's classrooms, including issues such as higher standards, differentiation, real-world applications, non-routine problem solving, and more. Here, the authors explore which research-based strategies are most effective for delivering math instruction.




More Good Questions


Book Description

Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies—Open Questions and Parallel Tasks—to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6–12 math.Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.Offers questions and tasks that teachers and coaches can adopt immediately or use as models to create their own, along with scaffolding and consolidating questions.Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.




How to Differentiate Instruction in Academically Diverse Classrooms


Book Description

First published in 1995 as How to Differentiate Instruction in Mixed-Ability Classrooms, this new edition reflects evolving best practices, practitioners' experience, and Tomlinson's ongoing thinking about how to help all students access high-quality curriculum; engage in meaningful learning experiences; and feel safe and valued in their school. Written as a practical guide for teachers, this expanded 3rd edition of Carol Ann Tomlinson's groundbreaking work covers the fundamentals of differentiation and provides additional guidelines and new strategies for how to go about it. You'll learn What differentiation is and why it's essential How to set up the flexible and supportive learning environment that promotes success How to manage a differentiated classroom How to plan lessons differentiated by readiness, interest, and learning profile How to differentiate content, process, and products How to prepare students, parents, and yourself for the challenge of differentiation We differentiate instruction to honor the reality of the students we teach. They are energetic and outgoing. They are quiet and curious. They are confident and self-doubting. They are interested in a thousand things and deeply immersed in a particular topic. They are academically advanced and "kids in the middle" and struggling due to cognitive, emotional, economic, or sociological challenges. More of them than ever speak a different language at home. They learn at different rates and in different ways. And they all come together in our academically diverse classrooms.




Into Algebra 1


Book Description