Open Middle Math
Open Middle Math

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.

Discovering Advanced Algebra
Discovering Advanced Algebra

Author: Jerald Murdock

Publisher:

Published: 2010

Total Pages: 0

ISBN-13: 9781559539845

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Changes in society and the workplace require a careful analysis of the algebra curriculum that we teach. The curriculum, teaching, and learning of yesterday do not meet the needs of today's students.

Connecting Mathematical Ideas
Connecting Mathematical Ideas

Author: Jo Boaler

Publisher: Heinemann Educational Books

Published: 2005

Total Pages: 146

ISBN-13:

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In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In "Connecting Mathematical Idea"s, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. "Connecting Mathematical Ideas" contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within "Connecting Mathematical Ideas" and find new ways to help your students connect with math.

Texts and Lessons for Content-area Reading
Texts and Lessons for Content-area Reading

Author: Harvey Daniels

Publisher: Heinemann Educational Books

Published: 2011

Total Pages: 0

ISBN-13: 9780325030876

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"With more than 7 articles from the New York Times, Rolling Stone, the Washington Post, Car and Diver, Chicago Tribune, and many others"--Cover.

Numbers and Number Systems
Numbers and Number Systems

Author: Edward G. Fleming

Publisher: Createspace Independent Publishing Platform

Published: 2017-07-27

Total Pages: 152

ISBN-13: 9781973980162

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What are numbers? What are numerals? Are they the same? How precise are they? In this book, we will be focusing very closely at numbers and their properties and not numerals. We will basically consider two different kinds of numbers: precise numbers and imprecise numbers. The difference between these two kinds of numbers lies in their degree of precision. In case of a precise number, there is no room for error, whereas in case of an imprecise number, there can be some room for error as long as its value is reasonably close to the stated value. In Part I of this book, we will focus on precise numbers and number systems. Whereas Part II of this book is devoted for working with imprecise numbers. The first approach involves simplifying them by a mean and standard deviation. The second approach that we will explore involves determining the imprecise number's acceptable maximum and minimum end point values. Once we have found these values, we will discuss techniques for calculating the resultants after applying different functions and operations. Error Analysis is covered in Part III, where we discuss a new way to use our imprecise numbers. This approach lends itself to an easy implementation of a calculator or computer to calculate the error analysis.

Navigating the English Language Arts Common Core State Standards
Navigating the English Language Arts Common Core State Standards

Author: Angela B. Peery

Publisher: Getting Ready for the Common C

Published: 2012-05

Total Pages: 0

ISBN-13: 9781935588153

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Most states have adopted the Common Core State Standards (CCSS) as the basis for evaluating their students. This handbook will help teachers and administrators sort through the English Language Arts standards and focus on the key components of the CCSS. This is the second of a four-book series that started with Navigating Implementation of CCSS. The third handbook is Navigating Mathematics CCSS and the fourth is Navigating Assessment and Collaboration with the CCSS.

Test Bank for College Algebra
Test Bank for College Algebra

Author: Bernard Kolman

Publisher: Elsevier

Published: 2014-05-12

Total Pages: 186

ISBN-13: 1483277062

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Test Bank for College Algebra, Second Edition is a supplementary material for the text, College Algebra, Second Edition. The book is intended for use by mathematics teachers. The book contains standard tests for each chapter in the textbook. Each set of test aims to evaluate the level of understanding the student has achieved during the course. The answers for each chapter test and the final exam are found at the end of the book. Mathematics teachers teaching college algebra will find the book very useful.