TAG - MIDDLE MATH is it!

TAG - MIDDLE MATH is it! PDF

Author: Regina Harwood Gresham

Publisher: Lulu.com

Published: 2008-10-02

Total Pages: 161

ISBN-13: 0615256376

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Mathematics can be fun and exciting if we as teachers make it exciting and fun for our students. Our goal, as authors of this book, is to help you find creative ways to bring enjoyable mathematics material into your classroom. TAG - Tricks, Activities, and Games are ideas that we have implemented in our own teaching to help students explore, discover, conjecture, investigate, verify, explain, and understand middle school mathematics in a creative and motivating way. It is important to arouse each student's curiosity by presenting mathematics in fresh and stimulating ways that are captivating and motivating. The ideas presented in this book are designed to help students become powerful mathematics thinkers and to help them make sense out of mathematics. Based on the NCTM Standards and NCTM's new Focal Points, we have emphasized Number and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability. We have provided objectives, materials, procedures, and solutions to the entries.

Open Middle Math

Open Middle Math PDF

Author: Robert Kaplinsky

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 193

ISBN-13: 1003839886

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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.

TAG - Math is it! Grades 3 - 5

TAG - Math is it! Grades 3 - 5 PDF

Author: Regina Harwood Gresham

Publisher: Lulu.com

Published: 2008-10-02

Total Pages: 114

ISBN-13: 0615256228

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Mathematics can be fun and exciting if we as teachers make it exciting and fun for our students. Our goal, as authors of this book, is to help you find creative ways to bring enjoyable mathematics material into your classroom. TAG - Tricks, Activities, and Games are ideas that we have implemented in our own teaching to help students explore, discover, conjecture, investigate, verify, explain, and understand mathematics in a creative and motivating way. It is important to arouse each student's curiosity by presenting mathematics in fresh and stimulating ways that are captivating and motivating. The ideas presented in this book are designed to help students become powerful mathematics thinkers and to help them make sense out of mathematics. Based on the NCTM Standards and NCTM's new Focal Points, we have emphasized Number and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability. We have provided objectives, materials, procedures, and solutions to the entries.

Understanding Middle School Math

Understanding Middle School Math PDF

Author: Arthur A. Hyde

Publisher: Heinemann Educational Books

Published: 2009

Total Pages: 288

ISBN-13:

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Imagine handling students state-by-state data on the number of gallons of soft drinks sold per person in one year. Imagine using it to lead a vibrant problem-solving session in which students energetically pose and answer mathematical questions: Why does it say sold instead of consumed? What is a soft drink? Is it the same as a soda? Who would collect this kind of data? Why would they collect it? How was gallons per person calculated? What was the total amount of soda sold in our state? How many 12-ounce cans is that? 20-ounce bottles? How many of each per person? Understanding Middle School Math gathers 50 cool problems like this that lead to deep thinking. Problems such as the Renovation Problem, in which students uncover ideas about how perimeter, area, length, and cost affect a construction project. Or Chocolate Algebra, where they discover linear relationships among the pocket money available to buy two differently priced chocolate candies. Arthur Hyde combines the latest research and decades of classroom experience to braid language, cognition, and math. His approach can help any student, including underprepared ones, with the rigors of math in middle school and beyond. He has created and adapted problems that strongly connect math to the real world, to students lives, and to prior knowledge. Problems that scaffold content and processes, and give students multiple entry points into learning. Every problem has been extensively field tested and refined by classroom teachers. And for each cool problem practicing middle school teachers describe how they used it to differentiate over a wide range of students and extend learning. For fantastic problems your students won't soon forget and teaching solutions that are exciting, substantial, and transformative, turn to Art Hyde. Read and use Understanding Middle School Math and pass your love of math on as you meet your classroom goals.

Hard Math for Middle School

Hard Math for Middle School PDF

Author: Glenn Ellison

Publisher: Createspace Independent Publishing Platform

Published: 2010-09-11

Total Pages: 0

ISBN-13: 9781453814451

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MIT Professor Glenn Ellison has spent more than a decade coaching math teams and developing math enrichment materials for his daughters and their classmates. His middle school Hard Math textbook and workbook contain the materials he used while coaching many successful Mathcounts teams. They are a labor of love sold at bargain prices with the hope that they will help students around the world develop a deep understanding of middle school math and enjoy every minute of it. The topics align with modern middle school curricula: fractions, decimals, percents, prime factorization, plane and spatial geometry, probability, statistics, combinatorics, algebra, modular arithmetic, etc. But Hard Math challenges students to develop a deeper understanding: it asks much harder questions than standard texts and teaches the material and problem solving strategies students need to attack them. For example, rather than asking students to write 2/5 as a decimal, it might ask students to use the fact that 99999 = 9 × 41 × 271 to find the tenth digit in the decimal expansion for 1/271. (It might ask this, but never actually does.) The personal and somewhat irreverent prose in the IMLEM Plus edition of Hard Math for Middle School speaks directly to students participating in both the Intermediate Math League of Eastern Massachusetts and Mathcounts(r). The organization of the book is also designed to serve IMLEM students. But middle school math is middle school math and the book should be great for students preparing for other math contests or just looking for general enrichment or hard problems to do. Hard Math for Middle School: Workbook, sold separately, contains over 100 worksheets. The worksheets have problems at different difficulty levels that students can use to solidify their understanding of the material in each section of the textbook. It would be crazy to buy this text and not also get a copy of the workbook unless your child is using this book in school or in an enrichment program that is already providing plenty of practice problems. Solutions to many of the problems in the workbook are currently available for free on Prof. Ellison's website. Mathcounts(r) is a registered trademark of the Mathcounts Foundation, which was not involved in the production of, and does not endorse, this book.

Samuel Has a Dollar to Spend

Samuel Has a Dollar to Spend PDF

Author: Enrique Ortiz

Publisher: Lulu.com

Published: 2015-07-27

Total Pages: 18

ISBN-13: 1329393635

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This book is about a boy named Samuel who makes a series of money trades. It can be used to learn about the value of one-dollar bills and coins (quarters, dimes, nickels, and pennies) at a more concrete level. It may be used to accommodate for specific needs and learning styles. It provides a model to represent coin values proportionally, which teachers, tutors, and parents will find very useful in helping kids learn about coin values, and problem solving. The proportional coin kit can be used with this book and other coin activities, with or without regular coins. You can make four copies of the coin kit (in color if possible) on cardboard and have your own proportional coin set for a dollar. Students' drawings may be used to support the use of the proportional coins at the representational level. Mathematical sentences or equations may accompany learning activities to help them make connection with the abstract level. Eventually, the students will not need to use the proportional coins anymore.

Pedagogy and Content in Middle and High School Mathematics

Pedagogy and Content in Middle and High School Mathematics PDF

Author: G. Donald Allen

Publisher: Springer

Published: 2017-11-10

Total Pages: 12

ISBN-13: 9463511377

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The book provides an accumulation of articles, included in Focus on Mathematics Pedagogy and Content, a newsletter for teachers, published by Texas A&M University. Each article presents a discussion of a middle or high school mathematics topic. Many of the articles are written by professors at Texas A&M University. The book is broken into three parts, with the first part focusing on content and pedagogy, related to the NCTM content strands of Number, Algebra, Geometry, Measurement, and Statistics and Probability. Articles include an in-depth presentation of mathematical content, as well as suggested instructional strategies. Thus, the integration of content knowledge and pedagogical knowledge is emphasized. The second and third parts apply to assessments, mathematical games, teaching tips, and technological applications. While other pedagogical reference books may provide an in-depth look at how to teach a topic, this book includes articles that also explain a topic, in great length. Thus, teachers may develop content knowledge first and then re-read each article, in order to learn appropriate instructional strategies to use. Many articles include technological applications, which are interspersed throughout the book. In addition, a special section, which includes helpful information, available tools, training sessions, and other references, for using technology in mathematics, is also presented.

Math Essentials, Middle School Level

Math Essentials, Middle School Level PDF

Author: Frances McBroom Thompson, Ed.D.

Publisher: Jossey-Bass

Published: 2004-10-19

Total Pages: 0

ISBN-13: 9780787966027

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Math Essentials, Middle School Level gives middle school math teachers the tools they need to help prepare all types of students (including gifted and learning disabled) for mathematics testing and the National Council of Teachers of Mathematics (NCTM) standards. Math Essentials highlights Dr. Thompson's proven approach by incorporating manipulatives, diagrams, and independent practice. This dynamic book covers thirty key objectives arranged in four sections. Each objective includes three activities (two developmental lessons and one independent practice) and a list of commonly made errors related to the objective. The book’s activities are designed to be flexible and can be used as a connected set or taught separately, depending on the learning needs of your students. Most activities and problems also include a worksheet and an answer key and each of the four sections contains a practice test with an answer key.

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