This book aims to shine a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-caliber working mathematicians. In their own words, they discuss the art and practice of their work. This approach highlights creative components of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Mathematicians on Creativity is meant for a general audience and is probably best read by browsing.

Mathematicians on Creativity (Spectrum)

Science & Math

Liljedahl, Peter

Borwein, Peter

Zhai, Helen

Mathematics

American Mathematical Society

Keep thinking…keep learning in different settings\nIn Peter Liljedahl’s bestselling Building Thinking Classrooms in Mathematics: 14 Teaching Practices for Enhancing Learning, readers discovered that thinking is a precursor to learning. Translating 15 years of research, the anchor book introduced 14 practices that have the most potential to increase student thinking in the classroom and can work for any teacher in any setting.\nBut how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? This follow-up supplement will answer those questions, and more. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic. This guide: Provides the what, why, and how to adapt each practice in face-to-face settings that require social distancing, fixed seating, or small class sizes; synchronous and asynchronous virtual settings; synchronous and asynchronous hybrid settings; independent learning; and homeschooling. Includes guidance on using thinking classroom practices to support students in unfinished learning in small groups and one-on-one teaching or tutoring. Offers updated toolkits and a recommended order for the implementation of the practices for each of the settings. This supplement allows teachers to dip in as needed and continually modify the practices as their own classroom situations change and evolve, always keeping the thinking at the forefront of their mathematics teaching and learning.

Modifying Your Thinking Classroom for Different Settings: A Supplement to Building Thinking Classrooms in Mathematics (Corwin Mathematics Series)

Education & Teaching

Schools & Teaching

Corwin

This bundle includes Liljedahl′s bestselling anchor book Building Thinking Classrooms in Mathematics, Grades K-12 and his new supplement title Modifying Your Thinking Classroom for Different Settings.\nMuch of what happens in math classrooms today is guided by institutional norms laid down at the inception of an industrial-age model of public education. These norms have enabled a culture of teaching and learning that is often devoid of student thinking. Building Thinking Classrooms presents the results of over 15 years of research into which teaching practices are effective for getting students to think and which ones do not. This book takes you through a step-by-step approach that you can use to transform your classroom from a space where students mimic to a space where students think. But how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? The follow-up supplement, Modifying Your Thinking Classroom for Different Settings, will answer those questions, and more. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic.

BUNDLE: Liljedahl: Building Thinking Classrooms in Mathematics, Grades K-12 + Liljedahl: Modifying Your Thinking Classroom for Different Settings (Corwin Mathematics Series)

Practical and proven math tasks to maximize student thinking and learning Building upon the blockbuster success of Building Thinking Classrooms in Mathematics, Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, Mathematics Tasks for the Thinking Classroom, Grades K-5. But this book is so much more than simply a collection of good thinking tasks. It delves deeper into the implementation of the 14 practices from the BTC framework by updating the practices with the newest research, and focusing on the practice through the lens of rich math tasks that address specific mathematical learning outcomes or standards. Across the 20 non-curricular tasks and 30 curricular tasks used as models, this book: <ul> <li>Helps you choose tasks to fit your particular math standards, goals, and the competencies you want your students to build</li> <li>Walks you through all the steps and scripts to launch, facilitate, and consolidate each task</li> <li>Shares examples of possible student solutions along with hints you might offer to help their thinking along</li> <li>Offers tasks for consolidation, example notes to my future forgetful self, and mild, medium, and spicy check-your-understanding questions (CYUs) for every thin sliced sequences of curricular tasks</li> <li>Imparts reflections from the authors on each task</li> </ul> The book closes with specific guidance on how to find more tasks or craft your own non-curricular and curricular tasks, along with answers to educators' frequently asked questions. It includes access to a companion website that includes downloadables and a task template for creating your own tasks. Whether you are new to BTC or a seasoned user, Mathematics Tasks for the Thinking Classroom, Grades K-5will help teachers, coaches, and specialists transform traditional math classrooms into dynamic and thought-provoking learning spaces.

Mathematics Tasks for the Thinking Classroom, Grades K-5 (Corwin Mathematics Series)

Giroux, Maegan

Lesson Play in Mathematics Education:: A Tool for Research and Professional Development

Lesson play is a novel construct in research and teachers’ professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form―inspired in part by Lakatos’s evocative Proofs and Refutations―featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our studies―particularly in the area of pre-service teacher education, and the reasons that the tool offers such productive possibilities for both researchers and teacher educators.

Sinclair, Nathalie

Zazkis, Rina

Springer

Lesson play is a novel construct in research and teachers’ professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form―inspired in part by Lakatos’s evocative Proofs and Refutations―featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our studies―particularly in the area of pre-service teacher education, and the reasons that the tool offers such productive possibilities for both researchers and teacher educators.

<h1>A thinking student is an engaged student</h1> Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K-12helps teachers implement 14 optimal practices for thinkingthat create an ideal setting for deep mathematics learning to occur. This guide <ul style="margin-top: 0in; list-style-type: disc;"> <li style="background: white;">Provides the what, why, and how of each practice</li> <li style="background: white;">Includes firsthand accounts of how these practices foster thinking</li> <li style="background: white;">Offers a plethora of macro moves, micro moves, and rich tasks to get started</li> </ul>

Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning (Corwin Mathematics Series)

Corwin; First edition

This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled. 

Problem Solving in Mathematics Education (ICME-13 Topical Surveys)

Santos-Trigo, Manuel

Malaspina, Uldarico

Bruder, Regina

Teaching Mathematics As Storytelling

This book presents storytelling in mathematics as a medium for creating a classroom in which mathematics is appreciated, understood, and enjoyed. The authors demonstrate how students' mathematical activity can be engaged via storytelling. Readers are introduced to many mathematical stories of different kinds, such as stories that provide a frame or a background to mathematical problems, stories that deeply intertwine with the content, and stories that explain concepts or ideas. Moreover, the authors present a framework for creating new stories, ideas for using and enriching existing stories, as well as several techniques for storytelling that make telling more interactive and more appealing to the learner. This book is of interest for those who teach mathematics, or teach teachers to teach mathematics. It may be of interest to those who like stories or like mathematics, or those who dislike either mathematics or stories, but are ready to reconsider their position.

Brill Academic Pub

See the best price to sell, buy, or rent books by Liljedahl, Peter. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Liljedahl, Peter

See the best price to sell, buy, or rent books by Liljedahl, Peter. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Mathematicians on Creativity (Spectrum)

Modifying Your Thinking Classroom for Different Settings: A Supplement to Building Thinking Classrooms in Mathematics (Corwin Mathematics Series)

BUNDLE: Liljedahl: Building Thinking Classrooms in Mathematics, Grades K-12 + Liljedahl: Modifying Your Thinking Classroom for Different Settings (Corwin Mathematics Series)

Mathematics Tasks for the Thinking Classroom, Grades K-5 (Corwin Mathematics Series)

Lesson Play in Mathematics Education:: A Tool for Research and Professional Development

Lesson Play in Mathematics Education:: A Tool for Research and Professional Development

Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning (Corwin Mathematics Series)

Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning (Corwin Mathematics Series)

Problem Solving in Mathematics Education (ICME-13 Topical Surveys)

Teaching Mathematics As Storytelling