Advanced Common Core Math Explorations

Advanced Common Core Math Explorations

Author: Jerry Burkhart

Publisher: Taylor & Francis

Published: 2021-09-03

Total Pages: 185

ISBN-13: 1000500012

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Students become mathematical adventurers in these challenging and engaging activities designed to deepen and extend their understanding of concepts from the Common Core State Standards in Mathematics. The investigations in this book stretch students' mathematical imaginations to their limits as they create and manipulate geometric figures, draw and analyze complex designs, and develop and apply measurement strategies to solve challenging real-world and mathematical problems. Each activity comes with extensive support for classroom implementation including learning goals, discussion guides, detailed solutions, and suggestions for extending the investigation. There is also a free supplemental e-book offering strategies for motivation, assessment, parent communication, and suggestions for using the materials in different learning environments. Grades 5-8


Algebra

Algebra

Author: Anita Wah

Publisher: Henri Picciotto

Published: 1994

Total Pages: 540

ISBN-13: 9781561072514

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The Greedy Triangle

The Greedy Triangle

Author: Marilyn Burns

Publisher: Scholastic Inc.

Published: 1994

Total Pages: 48

ISBN-13: 9780590489911

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In this introduction to polygons, a triangle convinces a shapeshifter to make him a quadrilateral and later a pentagon, but discovers that where angles and sides are concerned, more isn't always better.


Mathematical Explorations

Mathematical Explorations

Author: Alan F. Beardon

Publisher: Cambridge University Press

Published: 2016-10-13

Total Pages: 129

ISBN-13: 1316721086

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Mathematical Explorations follows on from the author's previous book, Creative Mathematics, in the same series, and gives the reader experience in working on problems requiring a little more mathematical maturity. The author's main aim is to show that problems are often solved by using mathematics that is not obviously connected to the problem, and readers are encouraged to consider as wide a variety of mathematical ideas as possible. In each case, the emphasis is placed on the important underlying ideas rather than on the solutions for their own sake. To enhance understanding of how mathematical research is conducted, each problem has been chosen not for its mathematical importance, but because it provides a good illustration of how arguments can be developed. While the reader does not require a deep mathematical background to tackle these problems, they will find their mathematical understanding is enriched by attempting to solve them.


Teaching Mathematics in Grades 6 - 12

Teaching Mathematics in Grades 6 - 12

Author: Randall E. Groth

Publisher: SAGE Publications

Published: 2012-08-10

Total Pages: 513

ISBN-13: 1452256020

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Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.


Classroom-Ready Rich Math Tasks, Grades 4-5

Classroom-Ready Rich Math Tasks, Grades 4-5

Author: Beth McCord Kobett

Publisher: Corwin

Published: 2021-04-08

Total Pages: 321

ISBN-13: 1544399170

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Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 4-5 details more than 50 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible.


Geometry Labs

Geometry Labs

Author: Henri Picciotto

Publisher: Henri Picciotto

Published: 1999

Total Pages: 266

ISBN-13:

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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.


Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3

Author: Jo Boaler

Publisher: John Wiley & Sons

Published: 2018-07-12

Total Pages: 273

ISBN-13: 1119358795

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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 third-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.


About Teaching Mathematics

About Teaching Mathematics

Author: Marilyn Burns

Publisher: Dale Seymour Publications

Published: 2000

Total Pages: 364

ISBN-13:

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About Teaching Mathematics quickly became a much sought-after resource upon its publication in 1992. With more than 200,000 copies in print, it presents information necessary for teachers to teach math through problem solving, to understand the math they are responsible for teaching, and to understand how children best learn math.Now Marilyn Burns has updated and expanded this important resource, including an entirely new fifty-page section, "Mathematical Discussion." Here she addresses many of the problems and activities in the text, presenting the underlying mathematics for each as well as solutions. Another new section, "Extending Multiplication and Division, " addresses how to help students deal with large number computation. Burns has also made numerous changes to the section on fractions and has clarified and reorganized points throughout the book to make her ideas as clear and accessible as possible.About Teaching Mathematics now gives teachers an even better guide for making appropriate and effective instructional decisions. It is an essential resource for all teachers of K -- 8 mathematics.