This is an expository article the aim of which is to introduce interested students and researchers to the topic of tensor rank, in particular to the construction of explicit tensors of high rank. We try to keep the mathematical concepts and language used as simple as possible to address a broad audience. This article is thought to be an appetizer and does not provide by any means a complete cov...

Over the past two years, through an NSF RCN UBE grant, the ASBMB has held regional workshops for faculty members and science educators from around the country that focused on identifying: 1) core principles of biochemistry and molecular biology, 2) essential concepts and underlying theories from physics, chemistry, and mathematics, and 3) foundational skills that undergraduate majors in biochem...

One approach to incorporating financial literacy into educational curricula is the integration of it closely related courses such as mathematics. Research on curriculum development that fosters mathematics and necessary. This study aims develop mathematical tasks are embedded with concepts be integrated courses. The were designed for children in Grades 1 through 8. They shaped by considering ed...

Vygotsky posed a variety of meaningful ideas for education in his short life. This paper focuses on everyday concepts and mathematical concepts or scientific concepts from his theory, reorganizing these ideas according to a new idea of sublated concepts. Using a series of interviews from a third grade fraction class in Japan, the paper discusses how everyday and mathematical concepts arise out ...

1) The facility with numbers and calculations, 2) The art of avoiding unnecessary calculations, 3) Memorizing formulas and theorems, 4) Understanding and finding proofs, 5) Solving problems with well-described procedures, 6) Solving problems for which there are no well-described procedures, 7) Understanding abstract mathematical concepts, 8) Creating new mathematical concepts, and clarifying an...

This mixed-methods study investigates the effects of student attitudes and behaviours on the outcomes of learning mathematics with computer tools. A computer tool was used to help students develop the mathematical concept of function. In the whole sample (N = 521), student attitudes could account for a 3.4 point difference in test scores between individuals on a 10-point scale. General attitude...

We have come a long way and finally are about to study calculus. Many of you might have taken some courses in the past where you learned a number of formulas to calculate the derivatives and integrals of certain functions. The purpose of this course, however, is not to memorize these formulas mindlessly. Rather, our goals are to understand the mathematical concepts underlying such formulas and ...