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Youngsters Solving Mathematical Problems with Technology

The Results and Implications of the Problem@Web Project

  • Book
  • © 2016

Overview

Authors:
  1. Susana Carreira

    1. Universidade do Algarve, Faro, Portugal

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  2. Keith Jones

    1. University of Southampton, Southampton, United Kingdom

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  3. Nélia Amado

    1. Campus de Gambelas, Universidade do Algarve, Faro, Portugal

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  4. Hélia Jacinto

    1. Universidade de Lisboa, UIDEF, Instituto de Educação,, Lisboa, Portugal

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  5. Sandra Nobre

    1. Universidade de Lisboa, UIDEF, Instituto de Educação, Lisboa, Portugal

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  • Addresses existing deficiencies in knowledge about mathematical problem solving, like the limited knowledge of students' mathematical problem solving skills outside of the classroom
  • Reports on the unique needs of "digital native" mathematics learners
  • Explores students' and teachers' perspectives on mathematics learnings, especially comparing classroom learning to out-of-the-classroom learning
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics Education in the Digital Era (MEDE, volume 5)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Mathematical Problem-Solving with Technology: An Overview of the Problem@Web Project

    • Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre
    Pages 1-20

  3. Youngsters Solving Mathematical Problems with Technology: Their Experiences and Productions

    • Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre
    Pages 21-53

  4. Perspectives of Teachers on Youngsters Solving Mathematical Problems with Technology

    • Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre
    Pages 55-81

  5. Theoretical Perspectives on Youngsters Solving Mathematical Problems with Technology

    • Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre
    Pages 83-111

  6. Digitally Expressing Conceptual Models of Geometrical Invariance

    • Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre
    Pages 113-140

  7. Digitally Expressing Algebraic Thinking in Quantity Variation

    • Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre
    Pages 141-172

  8. Digitally Expressing Co-variation in a Motion Problem

    • Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre
    Pages 173-208

  9. Youngsters Solving Mathematical Problems with Technology: Summary and Implications

    • Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre
    Pages 209-239

  10. Back Matter

    Pages 241-255
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Keywords

About this book

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.

Reviews

“I enjoyed reading the book and I enjoyed my time solving the problems also by putting myself in young students’ shoes. I can see the benefit of using these problems as well as the suggested solutions in secondary mathematics problem-solving activities. I am planning to use some of these problems (and suggested solutions)with undergraduate, graduate and teacher students as a trigger for a discussion on problem-solving also with digital environments.” (Irene Biza, Research in Mathematics Education, Vol. 19 (3), 2018)


“This book is an extensive summary/report of a three year project where schoolchildren were given problems to solve outside the usual classroom problems. … this study is invaluable in giving modern mathematical educators insights into adapting modern pedagogical techniques to reflect how young people solve problems. … all will find something that they can use to improve the effectiveness of their teaching.” (Charles Ashbacher, MAA Reviews, maa.org, May, 2016)

Authors and Affiliations

  • Universidade do Algarve, Faro, Portugal

    Susana Carreira

  • University of Southampton, Southampton, United Kingdom

    Keith Jones

  • Campus de Gambelas, Universidade do Algarve, Faro, Portugal

    Nélia Amado

  • Universidade de Lisboa, UIDEF, Instituto de Educação,, Lisboa, Portugal

    Hélia Jacinto

  • Universidade de Lisboa, UIDEF, Instituto de Educação, Lisboa, Portugal

    Sandra Nobre

About the authors

Susana Carreira is an associate professor in the mathematics department of the Faculty of Sciences and Technology at the University of Algarve. Keith Jones is an associate professor in the School of Education at the University of Southampton. Nélia Amado is an assistant professor in the mathematics department of the Faculty of Sciences and Technology at the University of Algarve. Hélia Jacinto is a PhD student at the research unit of the Institute of Education of the University of Lisbon & Jose Saramago Middle School. Sandra Nobre is a PhD student and mathematics teacher, associated with the research unit of the Institute of Education of the University of Lisbon & Schools group of Paula Nogueira, Olhão, Portugal.

Bibliographic Information

  • Book Title: Youngsters Solving Mathematical Problems with Technology

  • Book Subtitle: The Results and Implications of the Problem@Web Project

  • Authors: Susana Carreira, Keith Jones, Nélia Amado, Hélia Jacinto, Sandra Nobre

  • Series Title: Mathematics Education in the Digital Era

  • DOI: https://doi.org/10.1007/978-3-319-24910-0

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-24908-7Published: 02 March 2016

  • Softcover ISBN: 978-3-319-79698-7Published: 08 April 2018

  • eBook ISBN: 978-3-319-24910-0Published: 19 February 2016

  • Series ISSN: 2211-8136

  • Series E-ISSN: 2211-8144

  • Edition Number: 1

  • Number of Pages: XVIII, 255

  • Number of Illustrations: 11 b/w illustrations, 123 illustrations in colour

  • Topics: Educational Technology, Mathematics Education

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