NOMAD 12(1), 2007. From problem solving to modeling – the emergence of models and modeling perspectives

Skapad: 2007-04-17. Ändrad: 2007-04-17  

NOMAD 12(1), 2007. From problem solving to modeling – the emergence of models and modeling perspectives

NICHOLAS MOUSOULIDES, BHARATH SRIRAMAN and CONSTANTINOS CHRISTOU

Abstract

More than 25 years ago, a research project in the U.S investigated the question: ”What is needed by students, beyond having a mathematical idea, that enables students to use the mathematical idea in everyday problem solving situations? (Lesh, Landau & Hamilton, 1983). The answer to this question has begun to emerge after 25 years of systemic work in the domain of modeling. In this paper, we chronicle the emergence of models and modeling perspectives (MMP) from the genre of problem solving research via a synthesis of the major strands in the extant literature.

Sammanfattning

Ett forskningsprojekt i USA undersökte för mer än 25 år sedan följande fråga: ”What is needed by students, beyond having a mathematical idea that enables students to use the mathematical idea in everyday problem solving situations? (Lesh, Landau & Hamilton, 1983). Efter 25 års systematiskt arbete inom området ”modellering” har svaret på frågan börjat framträda. I artikeln beskriver vi hur utvecklingen av ”models and modeling perspectives” (MMP) har skett utifrån forskning om problemlösning. Beskrivningen sker med hjälp av en syntes av de viktigaste linjerna i befintlig forskningslitteratur.

 

NICHOLAS MOUSOULIDES
Nicholas Mousoulides is a Ph.D. candidate, researcher and educational personnel of mathematics education at the University of Cyprus. His research focuses on the implementation of ICT in mathematics education and the effect of integrating modeling in the learning and teaching of mathematics. He participated as a researcher in seven European and national research projects. His main research interests are modeling and applications, curriculum development in computer based environments, and student cognitive and mathematical development.

BHARATH SRIRAMAN
Bharath Sriraman is associate professor of mathematics at the University of Montana, with a wide range of eclectic research interests including mathematical modeling. He received his PhD from the department of mathematics at Northern Illinois University, USA. Bharath is the editor-in-chief of the Montana Mathematics Enthusiast, , associate editor of ZDM – the International Journal on Mathematics Education (formerly known as Zentralblatt für Didaktik der Mathematik), consulting editor of Interchange: A Quarterly Review of Education, and reviews editor of Mathematical Thinking & Learning as well as ZDM. He holds very active research ties with researchers working in his domains of interest in Australia, Canada, Cyprus, Denmark, Germany, Iceland, India, Turkey and USA.

CONSTANTINOS CHRISTOU
Constantinos Christou received his PhD from the University of Toledo, Ohio, USA. He is professor of mathematics education at the University of Cyprus. His research focuses on the cognitive development of mathematical concepts. He is in the editorial board of the journals Mediterranean Journal of Mathematics Education and the Montana Mathematics Enthusiast and participated as coordinator and partner in ten European and national research projects. Currently he studies mathematical modeling and applications, student spatial reasoning, the reasoning of students in mathematical tasks including their intuitive knowledge, and the effects of integrating technology in the teaching of mathematics on the cognitive development of students.