Traditional Algorithms Versus Investigative Learning in a Sixth Grade Gifted and Talented Math Classroom PDF Download
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Author: Lindsey J. Carlson
Publisher:
ISBN:
Category : McDougal Littell middle school math
Languages : en
Pages : 76
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Book Description
The intended purpose of this study was to analyze the differences between teaching mathematics to sixth grade advanced math students using the constructivist apporach, and then to compare this class with another sixth grade advanced math class who had been taught the same standards using traditional algorithms. These students were placed into different groups and worked collaboratively on different investigations [using Connected Mathematics 2] to discover the algorithms to simplify integer expressions. The data from this study was compared to other sixth grade advanced math students who had been taught algorithms using a traditional textbook [McDougal Littell Middle School Math. Course 3] with teacher led instruction. After analyzing the data, the results showed that there was no significant difference between the two methods of teaching. The test scores were similar despite the pedagogy used to teach the standards to the students.
Author: Lindsey J. Carlson
Publisher:
ISBN:
Category : McDougal Littell middle school math
Languages : en
Pages : 76
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Book Description
The intended purpose of this study was to analyze the differences between teaching mathematics to sixth grade advanced math students using the constructivist apporach, and then to compare this class with another sixth grade advanced math class who had been taught the same standards using traditional algorithms. These students were placed into different groups and worked collaboratively on different investigations [using Connected Mathematics 2] to discover the algorithms to simplify integer expressions. The data from this study was compared to other sixth grade advanced math students who had been taught algorithms using a traditional textbook [McDougal Littell Middle School Math. Course 3] with teacher led instruction. After analyzing the data, the results showed that there was no significant difference between the two methods of teaching. The test scores were similar despite the pedagogy used to teach the standards to the students.
Author: Pam Seda
Publisher: Dave Burgess Consulting
ISBN: 9781951600808
Category :
Languages : en
Pages : 230
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Book Description
Choosing to See: A Framework for Equity in the Math Classroom By Pamela Seda and Kyndall Brown Most of the top jobs for the future require students to have a strong foundational understanding of mathematics. Our failure to mathematically educate most students in general, and students of color in particular, is bad not only for these students individually but also for our society. In Choosing to See, Pamela Seda and Kyndall Brown offer a substantive, rigorous, and necessary set of interventions to move mathematics education toward greater equity, particularly in serving the needs of Black and Brown students, who are underrepresented and underserved as math scholars. The authors' thoughtful ICUCARE equity framework serves as a lens to help teachers see where they are achieving this alignment and where they are not. Through this lens, choosing to see means caring enough about what you see to act. It means accepting that every one of your students can be an expert given the opportunity. It means recognizing negative stereotypes about marginalized students and understanding their effects. It means knowing that your students have rich lives outside the classroom that can inform what you do inside the classroom. And it means recognizing and celebrating their human dimensions, so that all students' strengths, capabilities, and talents can grow. "A provocative and practical read! Seda and Brown remind us that equity is not a destination but a journey we take together with our students, their families, and our colleagues." DR. TRENA L. WILKERSON, professor, Department of Curriculum and Instruction, Baylor University, president, NCTM "It's one thing to embrace Standards for Mathematics Practices (SMP) but quite another to see the human potential of minoritized children and teach them in ways that ensure they actually succeed. The authors of this book share rich personal stories that not only help teachers to see their students but to also perceive who they are and what they can become." JACQUELINE LEONARD, professor of Mathematics Education, University of Wyoming "Choosing to See is the emotional and spiritual journey that all math educators need to embark on wholeheartedly. The book is a timely primer that takes the deep and complex issue of race and systemic bias in the mathematical experiences of Black students and presents them with unflinching clarity and candor." SUNIL SINGH, author of Pi of Life "This book helps close the gap between recognizing that we can do more to make math classrooms equitable and actually having a plan for how to do it. Pamela and Kyndall are respected leaders in the mathematics education community and help unpack the problems we may not be aware of as well as solutions for addressing them." ROBERT KAPLINSKY, author of Open Middle Math
Author: Florence Mihaela Singer
Publisher: Springer
ISBN: 3319394509
Category : Education
Languages : en
Pages : 50
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Book Description
This open access Topical Survey offers a brief overview of the current state of research on and activities for mathematically gifted students around the world. This is of interest to a broad readership, including educational researchers, research mathematicians, mathematics teachers, teacher educators, curriculum designers, doctoral students, and other stakeholders. It first discusses research concerning the nature of mathematical giftedness, including theoretical frameworks and methodologies that are helpful in identifying and/or creating mathematically gifted students, which is described in this section. It also focuses on research on and the development of mathematical talent and innovation in students, including connections between cognitive, social and affective aspects of mathematically gifted students. Exemplary teaching and learning practices, curricula and a variety of programs that contribute to the development of mathematical talent, gifts, and passion are described as well as the pedagogy and mathematics content suitable for educating pre-service and in-service teachers of mathematically gifted students. The final section provides a brief summary of the paper along with suggestions for the research, activities, and resources that should be available to support mathematically gifted students and their teachers, parents, and other stakeholders.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131979
Category : Education
Languages : en
Pages : 386
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Book Description
First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methodsâ€"to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.
Author: Gerald Aungst
Publisher: Corwin Press
ISBN: 1506322999
Category : Education
Languages : en
Pages : 141
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Book Description
Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces
Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 768
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Book Description
Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Category : Education
Languages : en
Pages : 216
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Book Description
Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?
Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 812
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Book Description
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 436
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Book Description
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53
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Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
