The paper provides two contributions. First, we present new convergence results for conditional e-subgradient algorithms for general convex programs. The results obtained here extend the classical ones by Polyak [Sov. Math. Doklady 8 (1967) 593; USSR Comput. Math. Math. Phys. 9 (1969) 14; Introduction to Optimization, Optimization Software, New York, 1987] as well as the recent ones in [Math. P...

Difficulty learning math is a common and known problem among children throughout the ages. The way of teaching and learning math has remained relatively the same in education. However, with the rise of portable devices; tablets and smart-phones, and motion-sensing controller such as the Microsoft Kinect, Nintendo WiiMote and the Playstation Move, people have shown huge interested and motivation...

Math anxiety (MA) is characterized by negative feelings towards mathematics, resulting in avoidance of math classes and of careers that rely on mathematical skills. Focused on a long timescale, this research may miss important cognitive and affective processes that operate moment-to-moment, changing rapid reactions even when a student simply sees a math problem. Here, using fMRI with an attenti...

Math anxiety (MA) is characterized by negative feelings towards mathematics, resulting in avoidance of math classes and of careers that rely on mathematical skills. Focused on a long timescale, this research may miss important cognitive and affective processes that operate moment-to-moment, changing rapid reactions even when a student simply sees a math problem. Here, using fMRI with an attenti...

Abstract The present study aimed at investigating the relationship between three main characteristics of teachers; namely, perfectionism, leadership and empowerment, amongst Iranian English and math teachers. To do so, two groups of teachers were selected to participate in this study. One consisted of 177 math teachers and the other comprised 200 English teachers. All were teaching in Khorasan ...

Cantor proved in 1874 [Cantor G (1874) J Reine Angew Math 77:258-262] that the continuum is uncountable, and Hilbert's first problem asks whether it is the smallest uncountable cardinal. A program arose to study cardinal invariants of the continuum, which measure the size of the continuum in various ways. By Gödel [Gödel K (1939) Proc Natl Acad Sci USA 25(4):220-224] and Cohen [Cohen P (1963) P...

When learning a new math concept, should learners be first taught the concept and its associated procedures and then solve problems, or solve problems first even if it leads to failure and then be taught the concept and the procedures? Two randomized-controlled studies found that both methods lead to high levels of procedural knowledge. However, students who engaged in problem solving before be...

In this work we develop an anisotropic a posteriori error analysis of the advection–diffusion–reaction and the Stokes problems. This is the first step towards the study of more complex situations, such as the Oseen and Navier– Stokes equations, which are very common in Computational Fluid Dynamic (CFD) applications. The leading idea of our analysis consists of combining the anisotropic interpol...

We conducted an experimental analysis of children's relative problem-completion rates across two workstations under conditions of equal (Experiment 1) and unequal (Experiment 2) problem difficulty. Results were described using the generalized matching equation and were evaluated for degree of schedule versus stimulus control. Experiment 1 involved a symmetrical choice arrangement in which the c...