Learning and Teaching Real World Problem Solving in School Mathematics: A Multiple-Perspective Framework for Crossing the Boundary

ISBN-13: 9783319082035 / Angielski / Twarda / 2016 / 199 str.

Murad Jurdak

Opis

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

Recenzje

"This book is about the fringes of mathematical education, where it reaches into social movements, class struggle, and the hard psychological theory of education. ... If you consider mathematics education as another tool for aggressive social change, then this is a book that will interest you." (Charles Ashbacher, MAA Reviews, maa.org, October, 2016)

Spis treści

I. School, students, mathematics and their 'real worlds'.- Students and their real worlds.- School and the real world: Enculturation or apartheid.- Mathematical literacy: Does it really exist?.- II. Multiple perspectives on real world problem solving in school mathematics.- The activity system perspective.- Mathematization's perspective.- Critical mathematics education perspective.- Perspective of Bruner's narrative and paradigmatic modes of thought.- Ethnomathematics perspective.- III. Contexts of real world problem solving in school mathematics.- Social-cultural context.- Work contexts.- STEM contexts.- Virtual world contexts.- IV. Toward a theory of instruction.- Elements of a multidimensional theory of instruction.- Implications for teaching real world problem solving in school mathematics.- Epilogue.