Integrating Computers And Problem Posing In Mathematics Teacher Education


Book Description

The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.




Mathematical Problem Posing


Book Description

The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​




Classroom Integration of Type II Uses of Technology in Education


Book Description

Develop new strategies for using computers in the classroom Educators have talked about using information technology to improve teaching since the beginning of the modern computer movement but true integration remains an elusive goal—for most. Classroom Integration of Type II Uses of Technology in Education finds teachers who have managed to take advantage of the sophistication, power, and affordability of today’s technology to develop new and better strategies for learning, despite the absence of an effective institutional infrastructure. This unique book reviews effective Type II teaching applications and software used at all educational levels, including Lego/Logo technologies, idea technologies, graphics software, laptop computers, and handheld computers. Information technology in schools has failed to fulfill its considerable potential because without a widespread instructional support system, computers are generally poorly used and not integrated meaningfully into classroom activities. But some educators have still been able to implement Type II applications of information technology in their educational settings. Classroom Integration of Type II Uses of Technology in Education looks at their innovative methods of using computers to bring about more effective teaching—and learning. Classroom Integration of Type II Uses of Technology in Education examines: computer activities of grade 1-5 students using Lego/Logo technologies using Kid-Pix graphics software for creative activities the Technology Integration Assessment Instrument (TIAI) gender disparity in computer-oriented problem solving a three-tiered, idea-technology classification system pre-service teacher preparation assistive technology definitions, legislation, and implementation issues lesson plans and document techniques for laptop computers an action/instructional model for using handheld wireless computers in the classroom Classroom Integration of Type II Uses of Technology in Education is an invaluable resource for academics working in information technology and education, and for K-12 teachers and administrators at all levels.




Technology in Mathematics Education


Book Description

This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra, assessment, disabilities, calculators, collective argumentation, teachers' beliefs and practice, primary mathematics, differential calculus, teachers' knowledge, trigonometry and geometry, professional development, issues in teaching, standardizing the curriculum, team writing, statistics, Newman error analysis, gender issues, Internet, transition to secondary mathematics, computers and technology, negative numbers, subtraction, aboriginal educators' views, graphics calculators, language, area, probability, word problems, classroom communication, mathematical investigations, ethics and morality, integrating science and mathematics concepts, students' attitudes, instructional computing, expository writing, mathematical autobiographies, problem posing, misconceptions, discussion-based teaching, the Riemann integral, diagrams for solving word problems, fairness and fractions in early childhood, children's probability judgments, phenomenology of writing-to-learn, teachers' beliefs about teaching behaviors, and linear programming. An author index and a subject index are also included. (JRH)




Youngsters Solving Mathematical Problems with Technology


Book Description

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students ́ and teachers ́ perspectives on mathematics learning, especially school compared to beyond-school mathematics.




Creativity and Technology in Mathematics Education


Book Description

This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.




Computer-enabled Mathematics


Book Description

Addresses core recommendations by the Conference Board of the Mathematical Sciences - an umbrella organisation consisting of sixteen professional societies in the United States - regarding the mathematical preparation of the teachers.







Computer Education for Teachers


Book Description

Extremely clear and comprehensive, Computer Education for Teachers features classroom lessons, activities, and projects, over 300 clear illustrations, state-of-the-art technology developments, a chapter on multimedia, two Internet chapters, a large collection of annotated Internet Sites in each chapter, a chapter on computers in special education, an annotated recommended software listing, a summary of current computer research, and an extensive bibliography.Designed to meet the needs of the student unfamiliar with the use of the computer in the classroom, the book is written for undergraduate and graduate education students who want an up-to-date, readable, practical, and concise introduction to computers for teachers. It assumes no prior experience with computers. The chapters are written so that the reader can pursue them in any order.




Teaching Computational Thinking


Book Description

A guide for educators to incorporate computational thinking—a set of cognitive skills applied to problem solving—into a broad range of subjects. Computational thinking—a set of mental and cognitive tools applied to problem solving—is a fundamental skill that all of us (and not just computer scientists) draw on. Educators have found that computational thinking enhances learning across a range of subjects and reinforces students’ abilities in reading, writing, and arithmetic. This book offers a guide for incorporating computational thinking into middle school and high school classrooms, presenting a series of activities, projects, and tasks that employ a range of pedagogical practices and cross a variety of content areas. As students problem solve, communicate, persevere, work as a team, and learn from mistakes, they develop a concrete understanding of the abstract principles used in computer science to create code and other digital artifacts. The book guides students and teachers to integrate computer programming with visual art and geometry, generating abstract expressionist–style images; construct topological graphs that represent the relationships between characters in such literary works as Harry Potter and the Sorcerer’s Stone and Romeo and Juliet; apply Newtonian physics to the creation of computer games; and locate, analyze, and present empirical data relevant to social and political issues. Finally, the book lists a variety of classroom resources, including the programming languages Scratch (free to all) and Codesters (free to teachers). An accompanying website contains the executable programs used in the book’s activities.