Broadening the Scope of Research on Mathematical Problem Solving

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interestedin mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.

• Mathematical Problem Solving
• Technology
• Creativity
• Affect
• Digital Tools
• Educational Technologies
• Interactive Whiteboard
• Dialogic Interaction
• Learning Scenarios
• Robots
• Dynamic Geometry
• Visualization
• Early Childhood Teachers
• Choice in mathematical problem solving
• Collaboration in mathematical problem solving
• Aesthetics in mathematical problem solving
• Closeness in mathematical problem solving
• Perseverance in mathematical problem solving
• learning and instruction

“This collection is a valuable resource for researchers and non-researchers alike – researchers will find insights on which to build further inquiry and just about all mathematicians and mathematics educators (regardless of research area) will find many problem-solving gems that will tantalize students and professionals alike.” (Steve Benson, MAA Reviews, September 6, 2020)

• Universidade do Algarve and UIDEF Instituto de Educação, Universidade de Lisboa, Lisbon, Portugal

  Nélia Amado, Susana Carreira

• School of Education, University of Southampton, Southampton, UK

  Keith Jones

Nélia Amado is an Assistant Professor in the Department of Mathematics in the Faculty of Sciences and Technology at the University of Algarve, in Faro, Portugal. She is member of the research unit of the Institute of Education at the University of Lisbon (UIDEF). Her research interests focus on pre-service teacher education, assessment in mathematics education, technologies in mathematics teaching and learning, and problem solving, including the affective dimensions of mathematics learning and parental involvement, namely in the context of mathematical competitions. She is involved with various research projects, including the Problem@Web project, funded by FCT (Portugal), and a bilateral project Portugal-Brazil on Technologies in Mathematics and Science Teaching and Learning, with Univates – Universidade do Vale do Taquari, Brazil. She has participated in several joint research activities in mathematics education involving universities in Brazil and Argentina. For many years, she has been actively engaged in projects with schools, both supporting teachers’ training and professional development and acting as a consultant supervisor of national educational projects and reforms. 

Susana Carreira is an Associate Professor in the Department of Mathematics in the Faculty of Sciences and Technology at the University of Algarve, in Faro, Portugal. She is member of the research unit (UIDEF) and invited Associate Professor of the Institute of Education at the University of Lisbon. Her research interests include technologies in teaching and learning mathematics, modelling in mathematics teaching, mathematical competitions, problem solving, namely in the study of young students’ mathematical creativity. She is the principal investigator of the Problem@Web project, at the University of Lisbon, and member of the bilateral project Technologies in Mathematics and Science Teaching and Learning, with Univates – Universidade do Vale do Taquari, Brazil. She is memberof the Executive Committee of the International Community of Teachers of Mathematical Modelling and Applications and has been active in international conferences related to modelling and applications in mathematics teaching, namely at ICTMA conferences, and at CERME and ICME congresses. She collaborates with several universities in Brazil and Argentina.

Keith Jones is an Associate Professor in the School of Education at the University of Southampton. His primary research foci are technologies in teaching and learning mathematics, problem solving, geometrical and spatial reasoning, and mathematics teacher professional development. He is involved in various research projects, including an EU funded project - Computational Environment to Stimulate and Enhance Creative Designs for Mathematical Creativity, Mathematical Problem Solving: Perspectives on an Interactive Web-based Competition, and Key Understandings in Secondary School Mathematics – funded by the Nuffield Foundation.

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