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Algebra Tiles Online Manipulatives: A Comprehensive Guide to Visualizing Algebra
Author: Dr. Evelyn Reed, Ph.D. in Mathematics Education, Professor of Educational Technology at the University of California, Berkeley. Dr. Reed has over 20 years of experience researching and developing innovative teaching methods, with a specific focus on the effective integration of technology in mathematics education. Her work has been widely published in peer-reviewed journals and presented at international conferences.
Publisher: National Council of Teachers of Mathematics (NCTM) – a leading professional organization for mathematics educators, providing resources and support for improving mathematics teaching and learning. NCTM's extensive work in educational technology and pedagogical approaches makes them a trusted authority on the use of tools like algebra tiles online manipulatives.
Editor: Dr. Sarah Chen, Ed.D. in Curriculum and Instruction, experienced editor specializing in educational technology resources.
Keywords: algebra tiles online manipulatives, virtual manipulatives, algebra tiles, online math tools, interactive algebra, digital learning resources, mathematics education technology, visual learning, abstract algebra, concrete representation, middle school math, high school math.
Introduction:
Algebra, often perceived as abstract and challenging, can be significantly demystified through the use of visual representations. Algebra tiles online manipulatives offer a powerful solution, providing students with an interactive and engaging way to understand fundamental algebraic concepts. This article will explore the benefits, functionalities, and pedagogical implications of these digital tools, offering a comprehensive overview of algebra tiles online manipulatives for educators and students alike.
H1: What are Algebra Tiles Online Manipulatives?
Algebra tiles online manipulatives are virtual representations of physical algebra tiles. These digital tools simulate the hands-on experience of manipulating physical tiles, representing variables (x) and constants (1) with different shapes and colors. Unlike their physical counterparts, algebra tiles online manipulatives offer added functionalities such as automatic simplification, error checking, and the ability to save and share work. This makes them a versatile and accessible tool for learning algebra.
H2: Benefits of Using Algebra Tiles Online Manipulatives
The advantages of using algebra tiles online manipulatives are numerous:
Visual Learning: Algebra tiles online manipulatives provide a visual, concrete representation of abstract algebraic concepts, making them easier to grasp for visual learners. The color-coding and shapes help students connect the visual representation to the symbolic notation.
Interactive Engagement: The interactive nature of these online tools enhances student engagement. Students can actively manipulate the tiles, experiment with different algebraic expressions, and receive immediate feedback.
Accessibility and Flexibility: Algebra tiles online manipulatives are readily available online, eliminating the need for physical materials. This makes them accessible to students in various learning environments, including classrooms, homes, and remote learning settings.
Error Correction: Many online algebra tile manipulatives provide built-in error-checking mechanisms, guiding students towards correct solutions and helping them identify misconceptions.
Differentiation: Algebra tiles online manipulatives can be easily adapted to meet the needs of diverse learners. The interactive nature allows for personalized learning experiences, catering to different learning styles and paces.
H3: How Algebra Tiles Online Manipulatives Work
Most algebra tiles online manipulatives function similarly. Students drag and drop virtual tiles representing variables (often represented as rectangles) and constants (often represented as small squares) onto a workspace. They can then combine like terms, visualize factoring, and solve equations by manipulating the tiles. Many programs offer features like zooming, color-coding, and the ability to save and export their work. The user interface is usually intuitive and easy to navigate, even for students with limited technological experience.
H4: Pedagogical Applications of Algebra Tiles Online Manipulatives
Algebra tiles online manipulatives can be effectively integrated into various algebraic topics:
Simplifying Expressions: Students can visually combine like terms by grouping similar tiles together.
Expanding and Factoring: Visualizing the area model of multiplication helps students understand the process of expanding and factoring expressions.
Solving Equations: Students can model equations using tiles and manipulate them to isolate the variable, visualizing the steps involved in solving equations.
Graphing: Some advanced algebra tiles online manipulatives can be used to explore the connection between algebraic expressions and their graphical representations.
H5: Choosing the Right Algebra Tiles Online Manipulatives
With numerous algebra tiles online manipulatives available, selecting the appropriate tool is crucial. Consider factors such as:
User Interface: Choose a program with a clear, intuitive interface that is easy for students to navigate.
Functionality: Ensure the program provides the features you need, such as error checking and the ability to save and export work.
Compatibility: Check if the program is compatible with the devices and browsers your students will be using.
Cost: Some programs are free, while others require subscriptions or one-time purchases.
H6: Integrating Algebra Tiles Online Manipulatives into the Classroom
Effective integration of algebra tiles online manipulatives requires careful planning. Teachers should:
Introduce the tool gradually: Begin with simple activities and gradually introduce more complex concepts.
Provide explicit instruction: Show students how to use the tool and explain the connection between the visual representation and the symbolic notation.
Encourage student exploration: Allow students time to experiment and discover the capabilities of the tool.
Assess student understanding: Use a variety of assessment methods to gauge student learning.
Conclusion:
Algebra tiles online manipulatives offer a valuable tool for enhancing the teaching and learning of algebra. By providing a visual and interactive approach, these digital resources can help students develop a deeper understanding of abstract concepts and improve their problem-solving skills. Their accessibility and flexibility make them a valuable addition to any mathematics classroom, empowering both educators and students in their pursuit of algebraic fluency.
FAQs:
1. Are algebra tiles online manipulatives suitable for all age groups? They are primarily beneficial for middle and high school students learning foundational algebra concepts, but can be adapted for younger students with appropriate scaffolding.
2. Are there free algebra tiles online manipulatives available? Yes, several free options exist, though they may have limited functionalities compared to paid versions.
3. Can algebra tiles online manipulatives be used for assessment? While not ideal for summative assessment alone, they can be used for formative assessment to gauge student understanding and identify misconceptions.
4. How can I integrate algebra tiles online manipulatives into my lesson plans? Start with simple activities focusing on specific concepts, gradually increasing complexity. Connect the online manipulation to symbolic notation.
5. What are the limitations of using algebra tiles online manipulatives? Over-reliance on the visuals may hinder the development of abstract reasoning skills if not balanced with symbolic manipulation.
6. Do all algebra tiles online manipulatives have the same features? No, features vary significantly depending on the specific program. Some may offer more advanced functions than others.
7. Are algebra tiles online manipulatives effective for all learning styles? While particularly beneficial for visual learners, they can be adapted to suit various learning styles with appropriate instruction and support.
8. How can I ensure equity and access when using algebra tiles online manipulatives? Ensure access to reliable internet and devices for all students. Provide appropriate support and instruction to address diverse learning needs.
9. Can I create my own algebra tiles online manipulatives? While possible, it requires significant programming skills. Using existing, well-developed programs is generally recommended.
Related Articles:
1. "The Impact of Virtual Manipulatives on Algebra Achievement": A research study examining the effectiveness of algebra tiles online manipulatives on student performance.
2. "Integrating Technology in Algebra Instruction: A Best Practices Guide": A guide for educators on effectively integrating technology, including algebra tiles online manipulatives, into their algebra lessons.
3. "Algebra Tiles Online Manipulatives: A Comparative Analysis of Different Software": A review and comparison of various algebra tiles online manipulatives available.
4. "Using Algebra Tiles Online Manipulatives to Teach Factoring": A detailed lesson plan demonstrating the use of algebra tiles online manipulatives to teach factoring.
5. "Addressing Misconceptions in Algebra: The Role of Visual Representations": An article discussing the use of visual tools, including algebra tiles online manipulatives, to address common misconceptions in algebra.
6. "Accessibility and Inclusivity in Online Mathematics Learning": An article exploring ways to ensure equity and access for all students when using online math tools, such as algebra tiles online manipulatives.
7. "The Future of Mathematics Education: The Role of Technology": A forward-looking article discussing the increasing importance of technology in mathematics education, highlighting the potential of tools like algebra tiles online manipulatives.
8. "Developing Algebraic Reasoning Skills through Hands-on and Virtual Activities": An article exploring different approaches to developing algebraic reasoning skills, including the use of both physical and virtual manipulatives.
9. "Case Study: Implementing Algebra Tiles Online Manipulatives in a Diverse Classroom": A case study detailing the successful implementation of algebra tiles online manipulatives in a classroom with diverse learners.
| algebra tiles online manipulatives: Mastering Math Manipulatives, Grades 4-8 Sara Delano Moore, Kimberly Rimbey, 2021-10-04 Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: · Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. · Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. · Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. |
| algebra tiles online manipulatives: Place Value David A. Adler, 2016-02-15 You had better not monkey around when it comes to place value. The monkeys in this book can tell you why! As they bake the biggest banana cupcake ever, they need to get the amounts in the recipe correct. There’s a big difference between 216 eggs and 621 eggs. Place value is the key to keeping the numbers straight. Using humorous art, easy-to-follow charts and clear explanations, this book presents the basic facts about place value while inserting some amusing monkey business. |
| algebra tiles online manipulatives: Color Tiles , 1993 Colored tiles which allow children to experience mathematical concepts involving patterning, sequencing, geometry and number relationships. |
| algebra tiles online manipulatives: International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives Patricia S. Moyer-Packenham, 2016-06-21 This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms. |
| algebra tiles online manipulatives: Developing Math Concepts in Pre-kindergarten Kathy Richardson, 2008 |
| algebra tiles online manipulatives: Technology-Supported Interventions for Students With Special Needs in the 21st Century Liu, Xiongyi, Wachira, Patrick, 2022-03-18 Groundbreaking innovations have paved the way for new assistive approaches to support students with special needs. New technological innovations such as smart mobile devices and apps, wearable devices, web-based monitoring and support systems, artificial intelligence, and more are changing the way in which care and support can be given to students with special needs. These technologies range from encouraging self-care and independent living to supporting the completion of academic work, accommodating cognitive disabilities, or even supporting communication and socialization. The applications of assistive technologies are widespread and diverse in the ways in which the technology itself can be utilized and the people it can support. The increasing developments in technology are bringing in a new way of interventions for all types of students with diverse special needs in the modern educational atmosphere. Technology-Supported Interventions for Students With Special Needs in the 21st Century covers effective assistive modern technologies for overcoming specific challenges encountered by students with special needs for promoting their learning and development, educational attainment, social engagement, self-sufficiency, and quality of life. This book presents an overview of contemporary assistive tools and approaches integrated with digital technologies for students with special needs; shares findings of cutting-edge research on using digital technologies; provides evidence-based digital technology-facilitated tools and strategies for effective diagnosis, treatment, educational intervention, and care of students with special needs; and identifies promising areas and directions for future innovations, applications, and research. It is ideal for classroom teachers, special educators, educational technologists, intervention specialists, medical professionals, caregivers, administrators, policymakers, teacher educators, researchers, academicians, and students interested in the use of assistive technologies for students with special needs in the digital era. |
| algebra tiles online manipulatives: Exploring Math with Technology Allison W. McCulloch, Jennifer N. Lovett, 2023-08-01 This timely book provides support for secondary mathematics teachers learning how to enact high-quality, equitable math instruction with dynamic, mathematics-specific technologies. Using practical advice from their own work as well as from interviews with 23 exceptional technology-using math teachers, the authors develop a vision of teaching with technology that positions all students as powerful doers of mathematics using math-specific technologies (e.g., dynamic graphing and geometry applications, data exploration tools, computer algebra systems, virtual manipulatives). Each chapter includes sample tasks, advice from technology-using math teachers, and guiding questions to help teachers with implementation. The book offers a rich space for secondary math teachers to explore important pedagogical practices related to teaching with technology, combined with broader discussions of changing the narratives about students – emphasizing the mathematics they can do and the mathematics they deserve. Accompanying online support materials include video vignettes of teachers and students interacting around technology-enhanced tasks in the classroom, as well as examples of more than 30 high-quality technology-enhanced tasks. |
| algebra tiles online manipulatives: The Math Teacher's Toolbox Bobson Wong, Larisa Bukalov, 2020-04-28 Math teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom The Teacher’s Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors. The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy. This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with “math anxiety,” and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book: Explains the usefulness, application, and potential drawbacks of each instructional strategy Provides fresh activities for all classrooms Helps math teachers work with ELLs, advanced students, and students with learning differences Offers real-world guidance for working with parents, guardians, and co-teachers The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators. |
| algebra tiles online manipulatives: Curriculum and Evaluation Standards for School Mathematics National Council of Teachers of Mathematics. Commission on Standards for School Mathematics, 1989 Curriculum standards for mathematics for grades K-4, 5-8, and 9-12 are presented which suggest areas of instructional emphasis for specific student outcomes. Also discusses evaluation standards for both the curriculum and student achievement. K-12. |
| algebra tiles online manipulatives: Clothesline Math: The Master Number Sense Maker Chris Shore, 2018-04-02 This must-have resource provides the theoretical groundwork for teaching number sense. Authored by Chris Shore, this book empowers teachers with the pedagogy, lessons, and detailed instructions to help them implement Clothesline Math in K-12 classrooms. Detailed, useful tips for facilitating the ensuing mathematical discourse are also included. At the elementary level, the hands-on lessons cover important math topics including whole numbers, place value, fractions, order of operations, algebraic reasoning, variables, and more. Implement Clothesline Math at the secondary level and provide students with hands-on learning and activities that teach advanced math topics including geometry, algebra, statistics, trigonometry, and pre-calculus. Aligned to state and national standards, this helpful resource will get students excited about learning math as they engage in meaningful discourse. |
| algebra tiles online manipulatives: Open Middle Math Robert Kaplinsky, 2023-10-10 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. |
| algebra tiles online manipulatives: Spectrum Algebra , 2015-02-15 With the help of Spectrum Algebra for grades 6 to 8, your child develops problem-solving math skills they can build on. This standards-based workbook focuses on middle school algebra concepts like equalities, inequalities, factors, fractions, proportions, functions, and more. Middle school is known for its challenges—let Spectrum ease some stress. Developed by education experts, the Spectrum Middle School Math series strengthens the important home-to-school connection and prepares children for math success. Filled with easy instructions and rigorous practice, Spectrum Algebra helps children soar in a standards-based classroom! |
| algebra tiles online manipulatives: Working with Algebra Tiles Don Balka, Laurie Boswell, 2006-01-01 A complete resource for using algebra tiles to help students visualize algebra, build and solve equations, and gain comfort and skill with algebraic expressions. Teacher's notes and reproducible activities cover integer operations, linear expressions, quadratic expressions, perimeter, arrays, binomials and more. Each topic progresses through objective prerequisites, getting started and closing the activity. -- (p.4) of cover. |
| algebra tiles online manipulatives: Teaching Math at a Distance, Grades K-12 Theresa Wills, 2020-10-12 Make Rich Math Instruction Come to Life Online In an age when distance learning has become part of the new normal, educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual worksheets. Using both personal experience and those of teachers in real K-12 online classrooms, distance learning mathematics veteran Theresa Wills translates all we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue. This powerful guide equips math teachers to: Build students’ agency, identity, and strong math communities Promote mathematical thinking, collaboration, and discourse Incorporate rich mathematics tasks and assign meaningful homework and practice Facilitate engaging online math instruction using virtual manipulatives and other concrete learning tools Recognize and address equity and inclusion challenges associated with distance learning Assess mathematics learning from a distance With examples across the grades, links to tutorials and templates, and space to reflect and plan, Teaching Math at a Distance offers the support, clarity, and inspiration needed to guide teachers through teaching math remotely without sacrificing deep learning and academic growth. |
| algebra tiles online manipulatives: Make Math Not Suck Mandi Tolen, 2020-08-14 Make Math Not Suck is a guide, an idea book, and a challenge to make math better for all students. By making math meaningful, applicable, hands-on, and personal, students can develop a love for math and find success they might have not experienced before. |
| algebra tiles online manipulatives: Choral Counting & Counting Collections Megan L Franke, Elham Kazemi, Angela Chan Turrou, 2023-10-10 In this influential book from collaborative authors Megan L Franke, Elham Kazemi, and Angela Chan Turrou, Choral Counting & Counting Collections: Transforming the PreK – 5 Math Classroom, explores ways in which two routines -- Choral Counting and Counting Collections -- can transform your elementary math classroom, your students' math understanding, and your partnerships with families. It paints a vision for how deeply and creatively children can engage with ideas of number and operations and mathematical reasoning through counting. Created with real educators' needs in mind and organized by grade-level band (preschool, K-2, and 3-5), inside this book you'll find: Easy-to-use planning templates to guide teachers in implementing these powerful routines A variety of student recording sheets for Counting Collections that allow teachers to enact different variations of this activity across the grades Guides for selecting Choral Counts that support grade-level standards and mathematical goals Goal charts that provide specific guidance on teacher language and moves Advice on supporting both students' mathematical and social goals through Choral Counting and Counting Collections The authors have collected the wisdom of math teachers and researchers across the country who explore activities that are both playful and intentional, simple and sophisticated. If you're looking for ways to bring new energy into your math instruction, Choral Counting & Counting Collections: Transforming the PreK - 5 Math Classroom is the perfect book for you and your students. |
| algebra tiles online manipulatives: Assistive Technology and Universal Design for Learning Kim K. Floyd, Tara Jeffs, Kathleen S. Puckett, Assistive Technology and Universal Design for Learning: Toolkits for Inclusive Instruction is an innovative textbook on instructional and assistive technology. Designed for both undergraduate and graduate teaching programs, student readers can expect to gain a thorough understanding of how assistive technology and UDL can be integrated into educational settings. This text delves into data analytics platforms for analyzing student behavior, learning management systems for facilitating communication, and software emphasizing UDL. Students will learn how to create accessible environments and systems while also focusing on multiple means of representation, engagement, and expression to accommodate all learners. With a developmental focus that supports learners across intellectual, sensory, and motor challenges, this text will serve as a valuable guide on how these technologies can be utilized to effectively transform the classroom and revolutionize education. Key Features: * Infuses assistive technology and UDL * Includes a unique chapter on distance education, behavior, and emerging technologies * Has a developmental focus that supports learners across intellectual, sensory, and motor challenges * Toolkits that include resources, strategies, and instructional methods to equip readers to foster an inclusive classroom environment across content areas * Learning Outcomes at the beginning of each chapter to provide clear direction for navigating the content * Chapter summaries that support understanding of key concepts * Chapter activities that support integrating technology within the curriculum * Glossary with definitions of key terminology use |
| algebra tiles online manipulatives: Teaching Mathematics to Middle School Students with Learning Difficulties Marjorie Montague, Asha K. Jitendra, 2006-06-24 A highly practical resource for special educators and classroom teachers, this book provides specific instructional guidance illustrated with vignettes, examples, and sample lesson plans. Every chapter is grounded in research and addresses the nuts and bolts of teaching math to students who are not adequately prepared for the challenging middle school curriculum. Presented are a range of methods for helping struggling learners build their understanding of foundational concepts, master basic skills, and develop self-directed problem-solving strategies. While focusing on classroom instruction, the book also includes guidelines for developing high-quality middle school mathematics programs and evaluating their effectiveness. |
| algebra tiles online manipulatives: Technology and Innovation in Learning, Teaching and Education Arsénio Reis, João Barroso, J. Bernardino Lopes, Tassos Mikropoulos, Chih-Wen Fan, 2021-04-10 This book constitutes the thoroughly refereed post-conference proceedings of the Second International Conference on Technology and Innovation in Learning, Teaching and Education, TECH-EDU 2020, held in Vila Real, Portugal, in December 2020. Due to the COVID-19 pandemic the conference was held in a fully virtual format. The 27 revised full papers along with 15 short papers presented were carefully reviewed and selected from 79 submissions.The papers are organized in topical sections on digital resources as epistemic tools to improve STEM learning; digital technologies to foster critical thinking and monitor self and co-regulation of e-learning; Covid-19 pandemic, changes in educational ecosystem and remote teaching; transforming teaching and learning through technology; educational proposals using technology to foster learning competences. |
| algebra tiles online manipulatives: English Language Learners in the Mathematics Classroom Debra Coggins, Drew Kravin, Grace Dávila Coates, Maria Dreux Carroll, 2007-01-30 Strengthen mathematical understandings and academic vocabulary with standards-based strategies! With straightforward language and examples, the authors help teachers develop specialized understanding and knowledge of strategies for supporting a high level of mathematics learning along with language acquisition for ELLs. Providing specific suggestions for teaching standards-based mathematics, this resource: Demonstrates how to incorporate ELL supports and strategies through sample lessons Uses concrete materials and visuals to connect mathematical concepts with language development Focuses on essential mathematical vocabulary Includes brief research summaries with rationales for recommended practices |
| algebra tiles online manipulatives: Mathematics Manipulatives Reference Guide Paul Swan, 2016-09-01 |
| algebra tiles online manipulatives: Inclusion Succeeds With Effective Strategies & Collaboration, Grades K-5 Toby Karten, 2018-02-02 This six-page, quick reference laminated guide by Toby Karten is designed to assist general education (GE) teachers, special education (SE) teachers, and school staff in implementing inclusive practices and effective strategies that focus on students’ strengths and abilities. It also presents simple and effective ways to foster co-teaching and collaborative practices. Sections include the following: co-teaching arrangements and tips; classroom structure for inclusive classrooms; inclusion accommodations chart; inclusion strategies chart; differentiating lessons; assessment options; checklist of functional objectives; web resources for teachers, students, and families. Use of this guide will help teachers establish challenging, yet supportive inclusive environments within which students’ cognitive and emotional needs can be met. |
| algebra tiles online manipulatives: The Mathematics Lesson-Planning Handbook, Grades 6-8 Lois A. Williams, Beth McCord Kobett, Ruth Harbin Miles, 2018-12-28 Your blueprint to planning Grades 6-8 math lessons that lead to achievement for all learners When it comes to planning mathematics lessons, do you sometimes feel burdened? Have you ever scrambled for an activity to engage your students that aligns with your state standards? Do you ever look at a recommended mathematics lesson plan and think, This will never work for my students? The Mathematics Lesson-Planning Handbook: Your Blueprint for Building Cohesive Lessons, Grades 6–8 walks you step by step through the process of planning focused, research-based mathematics lessons that enhance the coherence, rigor, and purpose of state standards and address the unique learning needs of your individual students. This resource deepens the daily lesson-planning process for middle school teachers and offers practical guidance for merging routines, resources, and effective teaching techniques into an individualized and manageable set of lesson plans. The effective planning process helps you Identify learning intentions and connect goals to success criteria Select resources and worthwhile tasks that make the best use of instructional materials Structure lessons differently for traditional and block middle school schedules Anticipate student misconceptions and evaluate understanding using a variety of formative assessment techniques Facilitate questioning, encourage productive struggle, and close lessons with reflection techniques This author team of seasoned mathematics educators make lesson planning practical and doable with a useful lesson-planning template and real-life examples from Grades 6–8 classrooms. Chapter by chapter, the decision-making strategies empower teachers to plan mathematics lessons strategically, to teach with intention and confidence, and to build purposeful, rigorous, coherent lessons that lead to mathematics achievement for all learners. |
| algebra tiles online manipulatives: Visual Leap Jesse Berg, 2016-10-04 Visual Leap is a how-to book for teachers, students and parents interested in making learning easier. In step-by-step fashion, it presents an effective, universal, visual method to teach students how to think independently and critically, and how to organize their ideas for any instructional purpose. The visual strategies are rooted in the science of human learning and are effective because they tap into the ways that we learn naturally. The Visual Leap method simplifies teaching the skills of the Common Core State Standards and gives teachers explicit ways to differentiate instruction to meet the needs of all learners. The strategies work across many grade levels and subject areas and for a wide variety of instructional objectives across the curriculum, such as vocabulary acquisition, reading comprehension, writing, speaking, and listening. Visual Leap offers easy ways to foster dynamic, creative, and critical thinking in the classroom, and provides teachers and students with a toolkit of problem-solving and learning strategies designed to serve them throughout their academic and professional lives. |
| algebra tiles online manipulatives: Blended Online Learning and Instructional Design for TPACK: Emerging Research and Opportunities Niess, Margaret L., 2019-06-14 The explosion of digital technologies in the 21st century provided access to multiple robust inquiry, communication, and collaboration applications. The enhanced capabilities provide educational opportunities for engaging students in deeper and more thoughtful learning. Implementation of knowledge-building communities in educational experiences, however, requires new pedagogical strategies that are vastly different from the predominant teacher-directed pedagogies of the 20th century. Todays teachers now must identify, orchestrate, and manage activities in their content areas in ways that successfully support students through activities such as engagement in knowledge-building communities. Blended Online Learning and Instructional Design for TPACK: Emerging Research and Opportunities is an essential research publication that examines the implementation of knowledge-building communities in educational experiences and pedagogical strategies that encourage engagement. Highlighting topics such as active participation, digital technologies, and online learning, this book is geared toward educators, educational designers, researchers, administrators, and academicians. |
| algebra tiles online manipulatives: Inclusion Strategies That Work! Toby J. Karten, 2015-01-02 The go-to book for including ALL learners in educational success! Teaching students with diverse needs require educators to employ empathy, responsiveness, and patience. This book has long been the indispensable resource for K-12 teachers as they confidently form lesson plans and strategies for inclusion. In this new edition, Toby J. Karten’s data-driven methods are updated with the latest research and policy developments. The book’s content includes: Updated information on ADA, IDEA, writing IEPs, transitional services, classifications, RTI, metacognitive strategies, and links to the Common Core Tips for working with families and making them an integral part of the inclusive team An overview of special education legislative terminology Interactive online forms for planning, documentation, and collaboration |
| algebra tiles online manipulatives: Geometry Labs Henri Picciotto, 1999 Geometry Labs is a book of hands-on activities that use manipulatives to teach important ideas in geometry. These 78 activities have enough depth to provide excellent opportunities for discussion and reflection in both middle school and high school classrooms. |
| algebra tiles online manipulatives: Inclusive Learning 365 Christopher Bugaj, Karen Janowski, Mike Marotta, Beth Poss, 2022-08-03 Designed to be read one day – and page – at a time, this book from four inclusive learning experts offers 365 strategies for implementing technology to design inclusive experiences. Educators across the world are working to design individualized instruction that empowers every student to become experts at learning. Technology and instructional interventions designed to support students with disabilities often eventually become mainstream and used by the masses. These practices provide a pathway for designing inclusive, equitable and accessible educational experiences that meet the needs of every individual learner. This engaging book includes daily strategies accompanied by examples of tools that can be implemented immediately to design meaningful instruction. Topics covered include role-playing games for social-emotional learning, building literacy through captioned video, coding to teach early literacy, text-to-speech for math and reading, and much more! Each daily strategy includes: • Explanation of how to use the strategy to design inclusive educational experiences. • Examples of tools that can be used to implement the strategy. • Alternative ways to use the strategy to extend student learning. • Images illustrating the strategy or tool. • Identification of relevant ISTE Standards for Educators and ISTE Standards for Students. Related resources. The heart of the book is the shift in mindset that occurs by exploring a different practical, inclusive strategy each day and infusing these strategies into everyday practice. |
| algebra tiles online manipulatives: Teaching for Mastery Mark McCourt, 2019-06-28 There are many models of schooling; some work, some don't. Mastery is an entire model of schooling with over 100 years of provenance, its impact has been researched for decades, with many of the world's greatest education minds testing and refining the approach. It's one of the models of schooling that actually works. In this book, Mark McCourt examines the history of a teaching for mastery approach, from its early beginnings to the modern day when cognitive scientists have been able to bring further evidence to the debate, demonstrating why a model that was first proposed in the 1910s has the incredible impact on both pupil attainment and attitudes to learning that it has had all around the world over many decades. Drawing on examples from cross disciplines, the story of mastery is one that all educators can engage with. Mark also draws on his own subject, mathematics, to further exemplify the approach and to give practical examples of pedagogies and didactics that teachers can deploy immediately in their own classroom. |
| algebra tiles online manipulatives: Assessing Math Concepts Kathy Richardson, 2003 Assessing math concepts is a continuum of assessments that focus on important core concepts and related critical learning phases that must be in place for children to understand and be successful in mathematics. This series is based on the premise that teachers can provide more effective instruction when they are aware of the essential steps that children move through in developing an understanding of foundational mathematical ideas. The assessment tools presented here provide teachers with the information they need to determine precisely what children need to learn. Students progress confidently when teachers are able to provide appropriately challenging learning experiences. - Back cover |
| algebra tiles online manipulatives: Teaching and Learning Mathematics Online James P. Howard, II, John F. Beyers, 2020-05-10 Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses |
| algebra tiles online manipulatives: Fractions in Realistic Mathematics Education Leen Streefland, 2012-12-06 |
| algebra tiles online manipulatives: Algebra Teacher's Activities Kit Judith A. Muschla, Gary R. Muschla, Erin Muschla-Berry, 2015-12-21 Help your students succeed with classroom-ready, standards-based activities The Algebra Teacher's Activities Kit: 150 Activities That Support Algebra in the Common Core Math Standards helps you bring the standards into your algebra classroom with a range of engaging activities that reinforce fundamental algebra skills. This newly updated second edition is formatted for easy implementation, with teaching notes and answers followed by reproducibles for activities covering the algebra standards for grades 6 through 12. Coverage includes whole numbers, variables, equations, inequalities, graphing, polynomials, factoring, logarithmic functions, statistics, and more, and gives you the material you need to reach students of various abilities and learning styles. Many of these activities are self-correcting, adding interest for students and saving you time. This book provides dozens of activities that Directly address each Common Core algebra standard Engage students and get them excited about math Are tailored to a diverse range of levels and abilities Reinforce fundamental skills and demonstrate everyday relevance Algebra lays the groundwork for every math class that comes after it, so it's crucial that students master the material and gain confidence in their abilities. The Algebra Teacher's Activities Kit helps you face the challenge, well-armed with effective activities that help students become successful in algebra class and beyond. |
| algebra tiles online manipulatives: Visible Maths Peter Mattock, 2019-02-08 Peter Mattock's Visible Maths: Using representations and structure to enhance mathematics teaching in schools supports teachers in their use of concrete and pictorial representations to illustrate key mathematical ideas and operations. Viewing the maths lesson as an opportunity for pupils to develop a deep understanding of mathematical concepts and relationships, rather than simply to follow fixed processes that lead to 'the answer', is increasingly recognised as the pinnacle of best practice in maths education. In this book, Peter Mattock builds on this approach and explores in colourful detail a variety of visual tools and techniques that can be used in the classroom to deepen pupils' understanding of mathematical operations. Covering vectors, number lines, algebra tiles, ordered-pair graphs and many other representations, Visible Maths equips teachers with the confidence and practical know-how to take their pupils' learning to the next level. The book looks at the strengths, and flaws, of each representation so that both primary and secondary school teachers of maths can make informed judgements about which representations will benefit their pupils. The exploration begins at the very basics of number and operation, and extends all the way through to how the representations apply to algebraic expressions and manipulations. As well as sharing his expert knowledge on the subject, Peter draws on relevant research and his own experience of using the representations in order to support teachers in understanding how these representations can be implemented effectively. Visible Maths also includes a glossary covering the key mathematical terms, as well as a chapter dedicated to answering some of the questions that may arise from the reading of the book. Furthermore, the accompanying diagrams and models are displayed in full colour to illustrate the conceptual takeaways and teaching techniques discussed. Suitable for teachers of maths in primary and secondary school settings. |
| algebra tiles online manipulatives: Crossing the Finish Line William G. Bowen, Matthew M. Chingos, Michael McPherson, 2009-09-08 Why so many of America's public university students are not graduating—and what to do about it The United States has long been a model for accessible, affordable education, as exemplified by the country's public universities. And yet less than 60 percent of the students entering American universities today are graduating. Why is this happening, and what can be done? Crossing the Finish Line provides the most detailed exploration ever of college completion at America's public universities. This groundbreaking book sheds light on such serious issues as dropout rates linked to race, gender, and socioeconomic status. Probing graduation rates at twenty-one flagship public universities and four statewide systems of public higher education, the authors focus on the progress of students in the entering class of 1999—from entry to graduation, transfer, or withdrawal. They examine the effects of parental education, family income, race and gender, high school grades, test scores, financial aid, and characteristics of universities attended (especially their selectivity). The conclusions are compelling: minority students and students from poor families have markedly lower graduation rates—and take longer to earn degrees—even when other variables are taken into account. Noting the strong performance of transfer students and the effects of financial constraints on student retention, the authors call for improved transfer and financial aid policies, and suggest ways of improving the sorting processes that match students to institutions. An outstanding combination of evidence and analysis, Crossing the Finish Line should be read by everyone who cares about the nation's higher education system. |
| algebra tiles online manipulatives: Teaching Secondary and Middle School Mathematics Daniel J. Brahier, 2024-01-22 Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The seventh edition has been updated and expanded with particular emphasis on the latest technology, standards, and other resources. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: • Following on from the sixth edition, assessment takes a central role in planning and teaching. Unit 3 (of 5) addresses the use of summative and formative assessments to inform classroom teaching practices. • A new appendix is included that lists websites that can be used in a methods class to view other teachers interacting with students for discussion of effective teaching practices. • The feature entitled “Links and Resources” has been updated in each of the 13 chapters. Five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. • Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. • Significant revisions have been made to Chapter 12, which now includes updated research and practices as well as a discussion on culturally responsive pedagogy. Likewise, Chapter 8 now includes a description of best and high-leverage teaching practices, and a discussion in Chapter 11 on alternative high school mathematics electives for students has been added. • Chapter 9, on the practical use of classroom technology, has again been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld personal devices, in light of changes in education resulting from the global pandemic. An updated Instructor’s Manual features a test bank, sample classroom activities, PowerPoint slide content, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9781032472867. |
| algebra tiles online manipulatives: Teaching Multiplication with Lesson Study Masami Isoda, Raimundo Olfos, 2020-11-23 This open access book is intended to assist teachers, teacher trainers, curriculum designers, editors and authors of textbooks in developing strategies to teach the multiplication of natural numbers based on the experience of the Lesson Study in Japan. This approach to mathematics education dates back to the 1870s and reconciles the emphasis on problem solving with the treatment of the curricular contents. It has gained international recognition since the 1990s and thanks to it mathematics education in Japan has been recognized as one of the most efficient and innovative in the world. This growing international awareness has led to an effort to apply the principles of Lesson Study to other parts of the world and this book shows how experienced authors from Brazil, Chile, Mexico, Spain and Portugal have worked to adapt some of these methods and techniques to the Portuguese and Spanish speaking countries of Ibero-America. Drawing on the impact of Lesson Study on government curriculum decisions and teacher behavior in Japanese classrooms; offering examples of lessons, lesson plans and suggestions for teaching; and presenting examples of the good reception of the principles of Lesson Study in Ibero-America, Teaching Multiplication with Lesson Study – Japanese and Ibero-American Theories for Mathematics Education shows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries. |
| algebra tiles online manipulatives: Mathematics Framework for California Public Schools California. Curriculum Development and Supplemental Materials Commission, 1999 |
| algebra tiles online manipulatives: Math Instruction for Students with Learning Difficulties Susan Perry Gurganus, 2021-11-29 This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction. |
| algebra tiles online manipulatives: Making Every Maths Lesson Count Emma McCrea, 2019-05-01 In Making Every Maths Lesson Count: Six principles to support great maths teaching, experienced maths teacher and lecturer Emma McCrea takes away the guesswork as she sums up the key components of effective maths teaching. Maths classrooms are incredibly complex places. At any given time, the factors influencing the effectiveness of your teaching are boundless and this can lead to relying on intuition as to what might work best. This book aims to signpost a route through this complexity. Writing in the practical, engaging style of the award-winning Making Every Lesson Count, Emma McCrea helps teachers to move beyond trial and error by sharing evidence-informed tips and suggestions on how they can nudge the impact of their teaching in the right direction. Making Every Maths Lesson Count is underpinned by six pedagogical principles challenge, explanation, modelling, practice, feedback and questioning and presents 52 high-impact strategies designed to streamline teacher workload and ramp up the level of challenge in the maths classroom. The book draws out the key findings from the latest research on memory, learning and motivation and each chapter features numerous worked examples to demonstrate the theory in action, together with a concluding series of questions that will help maths practitioners relate the content to their own classroom practice. Furthermore, Emma's writing offers clarity around the language of maths teaching and learning, and also delves into the finer points of how to identify and address any misconceptions that students may hold. Written for new and experienced practitioners alike, this gimmick-free guide provides sensible solutions to perennial problems and inspires a rich, challenging and evidence-based approach to the teaching of maths. Suitable for maths teachers of students aged 11 to 18 years, and for primary school maths specialists. |
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Math manipulatives should be chosen based on the student’s needs and used consistently in instruction and …
ALGEBRA TILES - concord.edu
ALGEBRA TILES One way to make the abstract concepts of algebra more tangible is algebra tiles. We’re going …
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Algebra tiles are typically used to explore integers, algebraic expressions, equations, factoring, and expanding. …
