Learning and Teaching Real World Problem Solving in School Mathematics

Learning and Teaching Real World Problem Solving in School Mathematics
Author: Murad Jurdak
Publisher: Springer
Total Pages: 210
Release: 2016-05-30
Genre: Education
ISBN: 3319082043

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

Learning Through Real-World Problem Solving

Learning Through Real-World Problem Solving
Author: Nancy G. Nagel
Publisher: Corwin
Total Pages: 192
Release: 1996-02
Genre: Education
ISBN:

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.

Real-world Problems for Secondary School Mathematics Students

Real-world Problems for Secondary School Mathematics Students
Author: Jürgen Maasz
Publisher: Brill / Sense
Total Pages: 281
Release: 2011
Genre: Electronic books
ISBN: 9789460915420

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!

Problem-Based Learning for Math & Science

Problem-Based Learning for Math & Science
Author: Diane L. Ronis
Publisher: Corwin Press
Total Pages: 353
Release: 2008
Genre: Education
ISBN: 1412955599

This title provides teachers with the tools they need to help students learn in an integrated, real-world instructional environment.

Mathability

Mathability
Author: Michael Cain
Publisher:
Total Pages: 80
Release: 2005
Genre: Education
ISBN: 9781593631062

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.

Mathematical Problem Solving

Mathematical Problem Solving
Author: ALAN H. SCHOENFELD
Publisher: Elsevier
Total Pages: 426
Release: 2014-06-28
Genre: Mathematics
ISBN: 1483295486

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.

Teaching Real World Problem Solving in School Mathematics

Teaching Real World Problem Solving in School Mathematics
Author: Murad Jurdak
Publisher: Springer
Total Pages:
Release: 2016-06-23
Genre: Education
ISBN: 9783319082059

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.

Mathability

Mathability
Author: Michael Cain
Publisher: Taylor & Francis
Total Pages: 81
Release: 2021-09-03
Genre: Education
ISBN: 1000501507

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

Teach Math Like This, Not Like That

Teach Math Like This, Not Like That
Author: Matthew L. Beyranevand
Publisher: Rowman & Littlefield
Total Pages: 105
Release: 2017-05-24
Genre: Education
ISBN: 1475833628

Teaching mathematics is one of the most difficult and important jobs that anyone can do. Mathematics is a critical part of education and an essential building block for problem solving skills that are needed in the real world. However, many students struggle to learn and understand mathematical concepts and educators need to do everything possible to help our students learn. This book focuses on four areas necessary to be an impactful teacher of mathematics: Planning, Pedagogy, Assessment, and Relationships. For each of the ideas presented in the book, a brief introduction will be shared and then two different perspectives will be detailed with examples. The first is Not like This which is often the traditional way of teaching mathematics or the less effective approach. The second perspective is Teach Like This which is my recommended approach based upon research and my own experience as a teacher, math coordinator, and graduate instructor of math education.