As a mathematics education researcher, I study how math instruction impacts students' learning, from following standard math procedures to understanding mathematical concepts. Focusing on the latter, ...

Scientists explore the physics of how polarization-filtered colors emerge, how they can be controlled, and why subtle changes in viewing angle, sample orientation, and the order of layers of films ...

“The nail and hammer are fundamental to the manufacture of chairs, tables, stools, cabinets, and other varied items. So are certain ‘Mathematical Formulas or Relationships’ to the solution of diverse ...

The author tries to show some causes of failures in the creation of mathematical concepts. One of them is stiffening of concept cores. It makes impossible identification of untypical exemplars of a ...

Journal for Research in Mathematics Education, Vol. 5, No. 4 (Nov., 1974), pp. 197-211 (15 pages) The effects of negative instances on the acquisition of the mathematical concepts of commutativity and ...

A new study challenges the common practice in many classrooms of teaching mathematical concepts by using "real-world," concrete examples. Researchers found that college students who learned a ...

Video produced by Maria Bartholdi. Emily Lynch goes through life looking for patterns. During the day, Lynch works for a math publishing company in Minneapolis, training teachers to use materials that ...

Alan Turing, Albert Einstein, Stephen Hawking, John Nash—these “beautiful” minds never fail to enchant the public, but they also remain somewhat elusive. How do some people progress from being able to ...

“Let's face it; by and large math is not easy, but that's what makes it so rewarding when you conquer a problem, and reach new heights of understanding.” As we usher in the start of a new school year, ...