ICMI column

Discussion Document for the Twelfth ICMI Study The Future of the Teaching and Learning of Algebra

algebra, linear algebra, and number theory. Some are similar to the problems of secondary algebra: students’ difficulties with abstraction, concerns of relevance, what to do with computing technology, etc. Other problems such as proof-making or seeing the objects of calculus as algebraic objects seem particular to the tertiary level. The questions below are concerned with these issues of learni...

Column Profiles for Membrane Column Sections

A novel graphical method of analysing continuous membrane separation systems has been developed. The method is applicable to all counterand co-current membrane modules – single-stage, cascades, and membrane columns. All configurations can be broken down into “column sections”, no matter how complex the arrangement. Each column section, which resembles a typical single-stage separator, is modell...

ICMI Study 14: Applications and Modelling in Mathematics Education – Discussion Document

This paper is the Discussion Document for a forthcoming ICMI Study on Applications and Modelling in Mathematics Education. As will be well-known, from time to time ICMI (the International Commission on Mathematical Instruction) mounts specific studies in order to investigate, both in depth and in detail, particular fields of interest in mathematics education. The purpose of this Discussion Docu...

Column Generation

Column generation is an indispensable tool in computational optimization to solve a mathematical program by iteratively adding the variables of the model. Even though the method is simple in theory there are many algorithmic choices and we discuss the most common ones. Particular emphasis in put on the dual interpretation, relating column generation to Langrangian relaxation and cutting plane a...

Column Scores