Patterns and Parkas
Patterns and Parkas

Author: Sandi Pendergrast

Publisher: Calgary : Detselig Enterprises

Published: 2007

Total Pages: 0

ISBN-13: 9781550593259

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Grade two students learn about the properties of shapes including squares, rectangles, triangles, and parallelograms. They learn a variety of ways to make those shapes and how Yup'ik elders use these shapes to create patterns. As the students make shapes, they learn about geometrical relationships, symmetry, congruence, proofs and measuring. Students connect learning in the community to learning in school. About the Series Math in a Cultural Context This series is a supplemental math curriculum based on the traditional wisdom and practices of the Yup'ik people of southwest Alaska. The result of more than a decade of collaboration between math educators and Yup'ik elders, these modules connect cultural knowledge to school mathematics. Students are challenged to communicate and think mathematically as they solve inquiry-oriented problems, which require creative, practical and analytical thinking. Classroom-based research strongly suggests that students engaged in this curriculum can develop deeper mathematical understandings than students who engage only with a procedure-oriented, paper-and-pencil curriculum.

Patterns in mathematics
Patterns in mathematics

Author: Paul Swan

Publisher: R.I.C. Publications

Published: 2002

Total Pages: 51

ISBN-13: 1863118195

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"Pattern work that introduces and develops the relationship between numbers. The activities predominantly focus on number relationships in tables... range from completing addition tables, to number sequences, to "finding the rule'"--Foreword.

Nature's Numbers
Nature's Numbers

Author: Ian Stewart

Publisher: Basic Books

Published: 2008-08-04

Total Pages: 179

ISBN-13: 0786723920

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"It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book."—Los Angeles Times

Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries
Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries

Author: Ewa Swoboda

Publisher: Springer

Published: 2016-09-09

Total Pages: 57

ISBN-13: 3319442724

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This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well as the psychological roots of geometrical thinking and teacher preparation in geometry education. It considers these issues from historical, epistemological, cognitive semiotic and educational points of view in the context of students' difficulties and the design of teaching and curricula.

Teaching and Learning Patterns in School Mathematics
Teaching and Learning Patterns in School Mathematics

Author: Ferdinand Rivera

Publisher: Springer Science & Business Media

Published: 2014-07-08

Total Pages: 223

ISBN-13: 9400727127

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This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum. ​

Reggio-Inspired Mathematics
Reggio-Inspired Mathematics

Author: Richmond School District

Publisher: Lulu.com

Published: 2015-09-03

Total Pages: 36

ISBN-13: 131278007X

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This booklet documents our school district's collaborative inquiry project looking at how Reggio-inspired practices can inform and enhance primary mathematics teaching and learning.

Designing Patterns
Designing Patterns

Author: Daniel Lynn Watt

Publisher: Calgary : Detselig Enterprises

Published: 2006

Total Pages: 130

ISBN-13:

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In this module designed for grades three to five, students design patterns to be used in a headdress or similar linear strip. They explore properties of shapes, lines of symmetry, and part-to-part and part-to-whole relationships. The module provides numerous opportunities for the teacher to extend and adapt this curriculum, from further explorations of fractions to Yup?ik cultural knowledge. About the Series Math in a Cultural Context This series is a supplemental math curriculum based on the traditional wisdom and practices of the Yup?ik people of southwest Alaska. The result of more than a decade of collaboration between math educators and Yup?ik elders, these modules connect cultural knowledge to school mathematics. Students are challenged to communicate and think mathematically as they solve inquiry-oriented problems, which require creative, practical and analytical thinking. Classroom-based research strongly suggests that students engaged in this curriculum can develop deeper mathematical understandings than students who engage only with a procedure-oriented, paper-and-pencil curriculum.

Mindset Mathematics
Mindset Mathematics

Author: Jo Boaler

Publisher: John Wiley & Sons

Published: 2017-08-28

Total Pages: 288

ISBN-13: 1119358809

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Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.

Mathematics as a Science of Patterns
Mathematics as a Science of Patterns

Author: Michael D. Resnik

Publisher: Oxford University Press

Published: 1997

Total Pages: 300

ISBN-13: 9780198236085

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Resnik expresses his commitment to a structuralist philosophy of mathematics and links this to a defence of realism about the metaphysics of mathematics - the view that mathematics is about things that really exist.

Patterns in the City
Patterns in the City

Author: J. Clark Sawyer

Publisher: Bearport Publishing

Published: 2014-08-01

Total Pages: 36

ISBN-13: 1627243925

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A family walking down the street makes an alternating pattern: tall, short, tall, short. The buttons on an elevator form a pattern of circles. A huge staircase goes round and round, making a spiral pattern. In this visually dazzling book, beginning readers will learn all about the shapes and colors that make up patterns in the big city. Each 32-page book features controlled text with age-appropriate vocabulary and simple sentence construction. The lively text, colorful pages, and exquisite photos are sure to delight and engage emergent readers.