Learning and Teaching Real World Problem Solving in School Mathematics

Learning and Teaching Real World Problem Solving in School Mathematics PDF Author: Murad Jurdak
Publisher: Springer
ISBN: 3319082043
Category : Education
Languages : en
Pages : 199

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Book Description
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

Real-world Problems for Secondary School Mathematics Students

Real-world Problems for Secondary School Mathematics Students PDF Author: Jürgen Maasz
Publisher: Brill / Sense
ISBN: 9789460915420
Category : Electronic books
Languages : en
Pages : 281

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Book Description
This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e. g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do!

Learning Through Real-World Problem Solving

Learning Through Real-World Problem Solving PDF Author: Nancy G. Nagel
Publisher: Corwin
ISBN:
Category : Education
Languages : en
Pages : 192

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Book Description
With the rapidly expanding knowledge base in this information age, today's teachers are expected to add content to their existing curricula. But what can you add to your students' already full day without leaving out something else? One answer is to integrate teaching and learning into the real world around your school and engage your students in simultaneous learning - in language arts, science, art, mathematics, social studies - while they are trying to solve real problems. Here, Nancy G. Nagel discusses the ways whereby students can participate in directing their own learning while helping to create for themselves relevant learning experiences. The author presents actual cases taken from schools in which students learned while pursuing real-life goals, such as helping to select the optimum land use for property adjacent to their school. She provides examples of successful units, including feedback from students and teachers about the learning and teaching process.

Teaching Real World Problem Solving in School Mathematics

Teaching Real World Problem Solving in School Mathematics PDF Author: Murad Jurdak
Publisher: Springer
ISBN: 9783319082059
Category : Education
Languages : en
Pages :

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Book Description
This book examines empirical and theoretical research on the interplay between school mathematics and the real world in order to construct a new, multidimensional instructional problem solving theory. The author considers this new instructional theory in a variety of contexts, including socio-cultural, STEM and virtual world education. The book discusses the implications of teaching real world problem solving in school mathematics. Throughout, the author includes narrative of his own experiences in the classroom.

Mathematical Problem Solving

Mathematical Problem Solving PDF Author: ALAN H. SCHOENFELD
Publisher: Elsevier
ISBN: 1483295486
Category : Mathematics
Languages : en
Pages : 409

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Book Description
This book is addressed to people with research interests in the nature of mathematical thinking at any level, to people 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.

Rethinking Mathematics

Rethinking Mathematics PDF Author: Eric Gutstein
Publisher: Rethinking Schools
ISBN: 0942961544
Category : Mathematics
Languages : en
Pages : 192

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Book Description
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.

Mathability

Mathability PDF Author: Michael Cain
Publisher: Taylor & Francis
ISBN: 1000501507
Category : Education
Languages : en
Pages : 81

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Book Description
Mathability gives students the experience and ability to analyze and solve real-life mathematical problems, and explain their methods for arriving at the solution. Mathability is an excellent resource for preparing students for the performance tasks of standards-based tests. The six units in this book each have 10 problems that deal with a variety of real-life situations, such as those at a construction site, on vacation, in a business, and at home. The open-ended problems let students hone their skills in geometry, probability, percentages, use of charts, algebra, number relations/operations, money, and decimals. Open-ended performance tasks have become a mainstay of standards-based testing. It is one of the tasks that most students perform at below proficiency level. Much of this low performance is due to a student's lack of experience with writing explanations of the mathematics that made it possible to solve the problem. Mathabilty presents a systematic approach that will lead students to proficiency. Within each unit, this book provides four different levels of problems. The Step-by-Step Level leads a student through the problem and provides a format for presenting their answers. The Prompted Level provides the format for presenting the solution and hints on how to solve the problem. The Independent Level allows students to solve and explain their answers on their own, and the Challenge Level problems present a venue for gifted and talented students to push their skills to a higher level. Grades 5-8

Real-World Math

Real-World Math PDF Author: Genene Rhodes
Publisher: Teacher Created Resources
ISBN: 0743932676
Category : Education
Languages : en
Pages : 114

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Book Description
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.

Mathability

Mathability PDF Author: Michael Cain
Publisher:
ISBN: 9781593631062
Category : Education
Languages : en
Pages : 80

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Book Description
A program to build youngster's math problem-solving abilities and also to show them practical applications for the things they learn in their math classes.

Real-World Math Problem Solving (Gr. 4)

Real-World Math Problem Solving (Gr. 4) PDF Author: Tracie Heskett
Publisher: Real-World Math Problem Solvin
ISBN: 9781420683899
Category : Education
Languages : en
Pages : 112

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Book Description
Build problem-solving skills with this unique series that uses fiction and nonfiction text to present mathematical problems and situations. Students are required to read the passages then use critical thinking to complete each task. Each unit includes a sidebar with tips, tools, and strategies students can use in the problem-solving process. Extension activities are also provided to give them the opportunity to reflect on the passages and discuss their answers. Correlated to ELA & Math Correlated to the Common Core State Standards.