Learning and Teaching Real World Problem Solving in School Mathematics

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Author :
Publisher : Springer
ISBN 13 : 3319082043
Total Pages : 210 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Learning and Teaching Real World Problem Solving in School Mathematics by : Murad Jurdak

Download or read book Learning and Teaching Real World Problem Solving in School Mathematics written by Murad Jurdak and published by Springer. This book was released on 2016-05-30 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ultimate aim of this book is to identify the conceptual tools and the instructional modalities which enable students and teachers to cross the boundary between school mathematics and real world problem solving. The book identifies, examines, and integrates seven conceptual tools, of which five are constructs (activity theory, narrative, modeling, critical mathematics education, ethnomathematics) and two are contexts (STEM and the workplace). The author develops two closely linked multiple-perspective frameworks: one for learning real world problem solving in school mathematics, which sets the foundations of learning real world problem solving in school mathematics; and one for teaching real world problem solving in school mathematics, which explores the modalities of teaching real world problem solving in school mathematics. “The book is composed as, on the one hand, a high-level theoretical scholarly work on real world problem solving in school mathematics, and, on the other hand, a set of twelve narratives which, put together, constitute a thought-provoking and moving personal and professional autobiography.” - Mogens Niss “These narratives combine aspects of Murad’s personal trajectory as an individual with those points in his professional career at which he became aware of perspectives on and approaches to mathematics education that were both significant in and of themselves, and instrumental for the specific scholarly endeavor presented in the book.” - Mogens Niss

Setting the Standard for Project Based Learning

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Author :
Publisher : ASCD
ISBN 13 : 1416620907
Total Pages : 258 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Setting the Standard for Project Based Learning by : John Larmer

Download or read book Setting the Standard for Project Based Learning written by John Larmer and published by ASCD. This book was released on 2015-05-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book take readers through the step-by-step process of how to create, implement, and assess project based learning (PBL) using a classroom-tested framework. Also included are chapters for school leaders on implementing PBL system wide and the use of PBL in informal settings.

Rethinking Mathematics

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Publisher : Rethinking Schools
ISBN 13 : 0942961544
Total Pages : 192 pages
Book Rating : 4.9/5 (429 download)

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Book Synopsis Rethinking Mathematics by : Eric Gutstein

Download or read book Rethinking Mathematics written by Eric Gutstein and published by Rethinking Schools. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

Mathematical Problem Solving

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Author :
Publisher : Elsevier
ISBN 13 : 1483295486
Total Pages : 426 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Real-World Math

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Author :
Publisher : Teacher Created Resources
ISBN 13 : 0743932676
Total Pages : 114 pages
Book Rating : 4.7/5 (439 download)

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Book Synopsis Real-World Math by : Genene Rhodes

Download or read book Real-World Math written by Genene Rhodes and published by Teacher Created Resources. This book was released on 2002-09 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guided practice and activity pages help students formulate complete answers to real-life problems involving logical reasoning, pre-algebra, decimals, percentages, basic geometry, graphs, and statistics.

Five Practices for Orchestrating Productive Mathematics Discussions

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Author :
Publisher :
ISBN 13 : 9781483351117
Total Pages : 104 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Five Practices for Orchestrating Productive Mathematics Discussions by : Margaret Schwan Smith

Download or read book Five Practices for Orchestrating Productive Mathematics Discussions written by Margaret Schwan Smith and published by . This book was released on 2011 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.

Integrating Differentiated Instruction & Understanding by Design

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Publisher : ASCD
ISBN 13 : 1416602844
Total Pages : 209 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Integrating Differentiated Instruction & Understanding by Design by : Carol A. Tomlinson

Download or read book Integrating Differentiated Instruction & Understanding by Design written by Carol A. Tomlinson and published by ASCD. This book was released on 2006 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover how the integration of two of education's most powerful frameworks will help teachers impart essential knowledge and skills to the full spectrum of learners.

Teaching Mathematics through Problem-Solving in K–12 Classrooms

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Author :
Publisher : Rowman & Littlefield
ISBN 13 : 1475843348
Total Pages : 135 pages
Book Rating : 4.4/5 (758 download)

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Book Synopsis Teaching Mathematics through Problem-Solving in K–12 Classrooms by : Matthew Oldridge

Download or read book Teaching Mathematics through Problem-Solving in K–12 Classrooms written by Matthew Oldridge and published by Rowman & Littlefield. This book was released on 2018-10-31 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.

How to Solve it

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Publisher : Princeton University Press
ISBN 13 : 069116407X
Total Pages : 288 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis How to Solve it by : George Pólya

Download or read book How to Solve it written by George Pólya and published by Princeton University Press. This book was released on 2014 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.

Building Thinking Classrooms in Mathematics, Grades K-12

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Author :
Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. 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–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Dear Citizen Math

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Publisher :
ISBN 13 : 9781736408513
Total Pages : 184 pages
Book Rating : 4.4/5 (85 download)

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Book Synopsis Dear Citizen Math by : Karim Ani

Download or read book Dear Citizen Math written by Karim Ani and published by . This book was released on 2021-04-30 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the critical role that math educators can play in creating a more rational and respectful society.

Conceptual Model-Based Problem Solving

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Publisher : Springer Science & Business Media
ISBN 13 : 9462091048
Total Pages : 267 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis Conceptual Model-Based Problem Solving by : Yan Ping Xin

Download or read book Conceptual Model-Based Problem Solving written by Yan Ping Xin and published by Springer Science & Business Media. This book was released on 2013-02-11 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Principles to Actions

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Publisher : National Council of Teachers of Mathematics, Incorporated
ISBN 13 : 9780873537742
Total Pages : 139 pages
Book Rating : 4.5/5 (377 download)

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Book Synopsis Principles to Actions by : National Council of Teachers of Mathematics

Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

New Mathematics Education Research and Practice

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Author :
Publisher : Sense Publishers
ISBN 13 : 9077874747
Total Pages : 323 pages
Book Rating : 4.0/5 (778 download)

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Book Synopsis New Mathematics Education Research and Practice by : Jürgen Maasz

Download or read book New Mathematics Education Research and Practice written by Jürgen Maasz and published by Sense Publishers. This book was released on 2006 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics. Although our knowledge of the process is more extensive and deeper despite the fragmented nature of research in this area, there is still a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview by addressing some carefully chosen questions on what is going on and what are the main results and questions what are important books or papers if further information is needed.

Math on the Move

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Publisher : Heinemann Educational Books
ISBN 13 : 9780325074702
Total Pages : 0 pages
Book Rating : 4.0/5 (747 download)

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Book Synopsis Math on the Move by : Malke Rosenfeld

Download or read book Math on the Move written by Malke Rosenfeld and published by Heinemann Educational Books. This book was released on 2016-10-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.

Problem Solving in Mathematics Education

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Author :
Publisher : Springer
ISBN 13 : 3319407309
Total Pages : 46 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Problem Solving in Mathematics Education by : Peter Liljedahl

Download or read book Problem Solving in Mathematics Education written by Peter Liljedahl and published by Springer. This book was released on 2016-06-27 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Teaching Mathematics Creatively

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Author :
Publisher : Routledge
ISBN 13 : 1000457168
Total Pages : 185 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Teaching Mathematics Creatively by : Linda Pound

Download or read book Teaching Mathematics Creatively written by Linda Pound and published by Routledge. This book was released on 2021-09-30 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated third edition offers a range of strategies, activities and ideas to bring mathematics to life in the primary classroom. Taking an innovative and playful approach to maths teaching, this book promotes creativity as a key element of practice and offers ideas to help your students develop knowledge, understanding and enjoyment of the subject. In the creative classroom, mathematics becomes a tool to build confidence, develop problem solving skills and motivate children. The fresh approaches explored in this book include a range of activities such as storytelling, music and construction, elevating maths learning beyond subject knowledge itself to enable students to see mathematics in a new way. Key chapters of this book explore: • Learning maths outdoors - make more noise, make more mess or work on a larger scale • Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them • Music and maths – the role of rhythm in learning, and music and pattern in maths Stimulating, accessible and underpinned by the latest research and theory, this is essential reading for trainee and practising teachers who wish to embed creative approaches to maths teaching in their classroom.