What's Your Math Problem!?!: Getting to the Heart of Teaching Problem Solving

What's Your Math Problem!?!: Getting to the Heart of Teaching Problem Solving PDF Author: Gojak, Linda
Publisher: Shell Education
ISBN: 1618139258
Category : Education
Languages : en
Pages : 305

Book Description
Dig into problem solving and reflect on current teaching practices with this exceptional resource. Meaningful instructional tools and methods are provided to help teachers understand each problem solving strategy and how to use it with their students. Teachers are given opportunities to practice problems themselves and reflect on how they can better integrate problem solving into their instruction. This resource supports College and Career Readiness Standards.

Avoid Hard Work!

Avoid Hard Work! PDF Author: Maria Droujkova
Publisher: Delta Stream Media
ISBN: 9781945899010
Category : Education
Languages : en
Pages : 0

Book Description
The term problem-solving sounds scary. Who wants problems? Why do we want to subject ourselves and youngsters to problems? The word problem comes from the word probe, meaning inquiry. Inquiry is a much friendlier idea. Rather than attack a problem that has been given to us, let us accept an invitation to inquire into and to explore an interesting opportunity. Even toddlers can excel at inquiring, exploring, and investigating the world around them!PROBLEM-SOLVING TECHNIQUESSuccessful FlailingDo SomethingWishful ThinkingThe Power of DrawingMake It SmallEliminate Incorrect ChoicesPerseverance Is KeySecond-Guess the AuthorAvoid Hard WorkGo to the Xtremes

Introduction to Problem Solving

Introduction to Problem Solving PDF Author: Susan O'Connell
Publisher: Heinemann Educational Books
ISBN:
Category : Education
Languages : en
Pages : 188

Book Description
Presents techniques and examples for teaching prekindergarten through second grade students mathematical thinking and problem solving, and includes a CD-ROM containing modifiable activities.

Awesome Math

Awesome Math PDF Author: Titu Andreescu
Publisher: John Wiley & Sons
ISBN: 1119575710
Category : Education
Languages : en
Pages : 288

Book Description
Help your students to think critically and creatively through team-based problem solving instead of focusing on testing and outcomes. Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as outcomes rather than as individuals who require guidance on thinking critically and creatively. Awesome Math focuses on team-based problem solving to teach discrete mathematics, a subject essential for success in the STEM careers of the future. Built on the increasingly popular growth mindset, this timely book emphasizes a problem-solving approach for developing the skills necessary to think critically, creatively, and collaboratively. In its current form, math education is a series of exercises: straightforward problems with easily-obtained answers. Problem solving, however, involves multiple creative approaches to solving meaningful and interesting problems. The authors, co-founders of the multi-layered educational organization AwesomeMath, have developed an innovative approach to teaching mathematics that will enable educators to: Move their students beyond the calculus trap to study the areas of mathematics most of them will need in the modern world Show students how problem solving will help them achieve their educational and career goals and form lifelong communities of support and collaboration Encourage and reinforce curiosity, critical thinking, and creativity in their students Get students into the growth mindset, coach math teams, and make math fun again Create lesson plans built on problem based learning and identify and develop educational resources in their schools Awesome Math: Teaching Mathematics with Problem Based Learning is a must-have resource for general education teachers and math specialists in grades 6 to 12, and resource specialists, special education teachers, elementary educators, and other primary education professionals.

The Math Gene

The Math Gene PDF Author: Keith Devlin
Publisher: Basic Books
ISBN: 0786725087
Category : Science
Languages : en
Pages : 348

Book Description
If people are endowed with a "number instinct" similar to the "language instinct" -- as recent research suggests -- then why can't everyone do math? In The Math Gene, mathematician and popular writer Keith Devlin attacks both sides of this question. Devlin offers a breathtakingly new theory of language development that describes how language evolved in two stages and how its main purpose was not communication. Devlin goes on to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the very first emergence of true language. Why, then, can't we do math as well as we speak? The answer, says Devlin, is that we can and do -- we just don't recognize when we're using mathematical reasoning.

Introduction to Problem Solving

Introduction to Problem Solving PDF Author: Susan O'Connell
Publisher: Heinemann Educational Books
ISBN: 9780325009704
Category : Problem solving
Languages : en
Pages : 0

Book Description
NCTM's Process Standards were designed to support teaching that helps children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every elementary teacher the opportunity to explore each one of the standards in depth. And with language and examples that don't require prior math training to understand, the series offers friendly, reassuring advice to any teacher preparing to embrace the Process Standards. Each title contains powerful tools to help you get started: plans for lessons that help students internalize each standard advice, ideas, and teaching tips that show you ways to make the standards a central part of your instruction and your students' learning assessment strategies to monitor student progress with each standard a CD-ROM with activities customizable to match your lessons a correlation guide that helps you match each aspect of mathematical content to the processes it utilizes The CD-ROM that accompanies each title in The Math Process Standards Series includes tools to help you take what you learn from the book and turn it into classroom practice right away. Each is filled with activities that refer to specific types of problems detailed in the book, problems that target the concepts, knowledge, and applications necessary to internalize each process standard and make it part of students' mathematical repertoire. Best of all, the activities on the CD-ROM are fully customizable, allowing you to adjust them to the particulars of your math teaching, your students, and your curriculum.

Mathematical Problem Solving

Mathematical Problem Solving PDF Author: Peter Liljedahl
Publisher: Springer
ISBN: 3030104729
Category : Education
Languages : en
Pages : 362

Book Description
This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Conceptual Model-Based Problem Solving

Conceptual Model-Based Problem Solving PDF Author: Yan Ping Xin
Publisher: Springer Science & Business Media
ISBN: 9462091048
Category : Education
Languages : en
Pages : 267

Book Description
Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students’ conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you. • The conceptual model-based problem solving (COMPS) program emphasizes mathematical modeling and algebraic representation of mathematical relations in equations, which are in line with the new Common Core. • “Through building most fundamental concepts pertinent to additive and multiplicative reasoning and making the connection between concrete and abstract modeling, students were prepared to go above and beyond concrete level of operation and be able to use mathematical models to solve more complex real-world problems. As the connection is made between the concrete model (or students’ existing knowledge scheme) and the symbolic mathematical algorithm, the abstract mathematical models are no longer “alien” to the students.” As Ms. Karen Combs, Director of Elementary Education of Lafayette School Corporation in Indiana, testified: “It really worked with our kids!” • “One hallmark of mathematical understanding is the ability to justify,... why a particular mathematical statement is true or where a mathematical rule comes from” (http://illustrativemathematics.org/standards). Through making connections between mathematical ideas, the COMPS program makes explicit the reasoning behind math, which has the potential to promote a powerful transfer of knowledge by applying the learned conception to solve other problems in new contexts. • Dr. Yan Ping Xin’s book contains essential tools for teachers to help students with learning disabilities or difficulties close the gap in mathematics word problem solving. I have witnessed many struggling students use these strategies to solve word problems and gain confidence as learners of mathematics. This book is a valuable resource for general and special education teachers of mathematics. - Casey Hord, PhD, University of Cincinnati

Teaching Mathematics Through Problem-Solving

Teaching Mathematics Through Problem-Solving PDF Author: Akihiko Takahashi
Publisher: Routledge
ISBN: 1000359867
Category : Education
Languages : en
Pages : 159

Book Description
This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

Introduction to Problem Solving, Second Edition, Grades 3-5

Introduction to Problem Solving, Second Edition, Grades 3-5 PDF Author: Susan O'Connell
Publisher: Math Process Standards Series
ISBN: 9780325098890
Category : Education
Languages : en
Pages : 208

Book Description
NCTM's Process Standards were designed to support teaching that helps children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every elementary teacher the opportunity to explore each one of the standards in depth. And with language and examples that don't require prior math training to understand, the series offers friendly, reassuring advice to any teacher preparing to embrace the Process Standards. In the second edition of Introduction to Problem Solving, Susan O'Connell updates her popular and easy-to-use guide. O'Connell eases you into problem solving, giving you an array of entry points for understanding, planning, and teaching; strategies that help students develop mathematical thinking; and a wealth of all-new activities that are modifiable for immediate use with students of all levels. Written by a veteran teacher for teachers of every level of experience, Introduction to Problem Solving fosters a new awareness of the importance of problem solving and highlights ways to implement it without rewriting your curriculum. Best of all, like all the titles in the Math Process Standards Series, Introduction to Problem Solving comes with two powerful tools to help you get started and plan well: online resources with activities customizable to match your lessons and a correlation guide that helps you match mathematical content with the processes it utilizes. If problem solving is a problem you'd like to solve. Or if you're simply looking for new ways to work the problem-solving standards into your curriculum, read, dog-ear, and teach with Introduction to Problem Solving, Second Edition. And if you'd like to learn about any of NCTM's process standards, or if you're looking for new, classroom-tested ways to address them in your math teaching, look no further than Heinemann's Math Process Standards Series. You'll find them explained in the most understandable and practical way: from one teacher to another.
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