Mathematizing

Mathematizing

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  • Author: Allen C. Rosales
  • Publisher: Redleaf Press
  • ISBN: 1605543969
  • Category : Education
  • Languages : en
  • Pages : 150

This proven, accessible approach to a curriculum presents a learner-centered approach to math education. Mathematizing provides both the emergent curriculum and professional development frameworks to help young children learn math throughout their everyday routine and to facilitate teachers' understanding of how to see and support children's math learning at every turn. With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful mathematical lessons and interactions.


Mathematize It! [Grades K-2]

Mathematize It! [Grades K-2]

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  • Author: Kimberly Morrow-Leong
  • Publisher: Corwin Press
  • ISBN: 1071811371
  • Category : Education
  • Languages : en
  • Pages : 184

"This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources." John SanGiovanni Coordinator, Elementary Mathematics Howard County Public School System, Ellicott City, MD Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades K-2 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades K-2 · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division · Demonstrates the use of concrete manipulatives to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!


Mathematizing

Mathematizing

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  • Author: Allen Rosales
  • Publisher: Redleaf Press
  • ISBN: 1605543950
  • Category : Education
  • Languages : en
  • Pages : 151

A new emergent math resource for every teacher—even those who don't believe they have the know-how to teach math


Mathematize It! [Grades 3-5]

Mathematize It! [Grades 3-5]

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  • Author: Sara Delano Moore
  • Publisher: Corwin Press
  • ISBN: 1506395252
  • Category : Education
  • Languages : en
  • Pages : 188

"The list of math books to truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!" Suni Singh Author of Pi of Life: the Hidden Happiness of Mathematics and Math Recess: Playful Learning in an Age of Disruption Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 3–5 • Offers a systematic mathematizing process for students to use when solving word problems • Gives practice opportunities and dozens of problems to leverage in the classroom • Provides specific examples of questions and explorations for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals • Demonstrates the use of concrete manipulatives to model problems with dozens of short videos • Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!


Mathematizing Children's Literature

Mathematizing Children's Literature

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  • Author: Allison Hintz
  • Publisher: Taylor & Francis
  • ISBN: 1003843964
  • Category : Education
  • Languages : en
  • Pages : 236

Many teachers use traditional counting and shape books in math class. But what would happen if we approached any story with a math lens? How might mathematizing children's literature give learners space to ask their own questions, and make connections between stories, their lives, and the world around them? These are the questions authors Allison Hintz and Antony T. Smith set out to explore in Mathematizing Children's Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion as they invite us to consider fresh ways of using interactive read-alouds to nurture students as both readers and mathematicians. Inside Mathematizing Children's Literature, you'll learn how to do the following: Select picture books according to the goals of the read aloud experience Plan and facilitate three styles of read aloud discussions - Open Notice and Wonder, Math Lens, and Story Explore Utilize Idea Investigations - experiences that invite students to pursue literacy and math-focused ideas beyond the pages of the read aloud Connect with students' families and communities through stories Along the way, Hintz and Smith provide a wide range of picture book suggestions and appendices that include ready-to-use lesson planning templates, a form for notes, and a bookmark of guiding questions. Mathematizing Children's Literature is a practical resource you'll find yourself referring to frequently.


Mathematizing Space

Mathematizing Space

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  • Author: Vincenzo De Risi
  • Publisher: Birkhäuser
  • ISBN: 3319121022
  • Category : Mathematics
  • Languages : en
  • Pages : 320

This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).


Mathematize It! [Grades 6-8]

Mathematize It! [Grades 6-8]

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  • Author: Kimberly Morrow-Leong
  • Publisher: Corwin Press
  • ISBN: 1071819879
  • Category : Education
  • Languages : en
  • Pages : 265

Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 6–8 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 6–8: · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for multiplication and division, fractions and decimals, as well as operations with rational numbers · Demonstrates the use of visual representations to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!


Mathematizing Your School

Mathematizing Your School

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  • Author: Nicki Newton
  • Publisher: Routledge
  • ISBN: 0429829825
  • Category : Education
  • Languages : en
  • Pages : 256

Learn the secrets to getting your entire school excited about math! This book from acclaimed author Dr. Nicki Newton and experienced instructional specialist Janet Nuzzie shows you how to integrate engaging math instruction at every level, from the small group project to the school-wide assembly. With contributions from math coaches, district leaders, and classroom teachers, this book will give you the practical tools you need to boost student proficiency, encourage collaboration between staff members, and make math an important part of school life. You’ll also learn how to: Create a safe and inviting environment for mathematics instruction; Devote adequate amounts of instructional time to help students develop their skill set as proficient mathematicians; Use real-world contexts and hands-on instruction to boost engagement; Give students the tools and opportunities to be confident, to question, to take risks, and to make mistakes; And much much more!


Thinking as Communicating

Thinking as Communicating

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  • Author: Anna Sfard
  • Publisher: Cambridge University Press
  • ISBN: 1139467999
  • Category : Psychology
  • Languages : en
  • Pages : 295

This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.


A History of Folding in Mathematics

A History of Folding in Mathematics

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  • Author: Michael Friedman
  • Publisher: Birkhäuser
  • ISBN: 3319724878
  • Category : Mathematics
  • Languages : en
  • Pages : 430

While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.