Background The purpose of this study was to investigate the relationship between depression, hopelessness, problem-solving ability and self-harming behaviours amongst people with mild intellectual disabilities (IDs). Methods Thirty-six people with mild IDs (77.9% women, M[subscript age] = 31.77, SD = 10.73, M[subscript IQ] = 62.65, SD = 5.74) who…

A 2 × 2 matrix identifying four discrete thought processes was presented. The contributions of the first three processes in developing the knowledge base of public administration were detailed as were their limitations. It was argued that the fourth process--insight and its mental powers--builds upon the strengths and overcomes the limitations…

The International Technology and Engineering Educators Association (ITEEA) defines STEM as a new transdisciplinary subject in schools that integrates the disciplines of science, technology, engineering, and mathematics into a single course of study. There are three major problems with this definition: There is no consensus in support of the ITEEA…

A good formula is like a good story, rich in description, powerful in communication, and eye-opening to readers. The formula presented in this article for determining the coefficients of the binomial expansion of (x + y)n is one such "good read." The beauty of this formula is in its simplicity--both describing a quantitative situation…

We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in beer. The project aims to expose the students to the modeling process by creating and solving a mathematical model and effectively communicating their…

Is anything more refreshing than going for a nice, long swim? The math scenarios presented in this article will take the reader back to hot summer days and remind the reader what a cool dip in the water feels like. Solving these problems is enjoyable and encourages the solver to think of the many ways that math is all around--even in the middle of…

In this work the authors investigate the effectiveness of robotics in education. Rather than creating excitement for children when playing with robots in games, they are examining the overall learning environment where a robot acts as a teaching assistant. They designed a suitable lesson plan when groups of teenagers participate in activities…

We investigate an apology format, "I'm sorry about it/that," where indexical terms (pronouns) refer to the offense rather than naming it. We identified two subsets in our collection of indexical apologies. In one, indexicals are subsequent either to the offense formulation or to an apology-relevant event; in the second, indexicals are…

To prepare a differently educated citizenry and to play meaningful roles in new forms of community-building, colleges and universities must model informed and collaborative ways of learning and working within their own institutional contexts as well as through their interactions with the broader society of which they are an integral part. The path…

Past educational reforms have failed because they didn't meet teachers where they were. They expected major changes in practices that may have been unrealistic for many teachers even under ideal professional learning conditions. Instead of promoting broad scale changes, improvement may be more likely if they are composed of small yet powerful…

There is a renewed debate about whether educated adults solve simple addition problems (e.g., 2 + 3) by direct fact retrieval or by fast, automatic counting-based procedures. Recent research testing adults' simple addition and multiplication showed that a 150-ms preview of the operator (+ or ×) facilitated addition, but not multiplication,…

To further understand student thinking in the context of combinatorial enumeration, we examine student work on a problem involving set partitions. In this context, we note some key features of the multiplication principle that were often not attended to by students. We also share a productive way of thinking that emerged for several students who…

The aim of this study is to analyse how mathematical problem solving is represented in mathematical textbooks for Swedish upper secondary school. The analysis comprises dominating Swedish textbook series, and relates to uncovering (a) the quantity of tasks that are actually mathematical problems, (b) their location in the chapter, (c) their…

School psychologists are tasked with ensuring treatment integrity because the level of intervention implementation affects decisions about student progress. Treatment integrity includes multiple dimensions that may impact the effectiveness of an intervention including adherence, dosage, quality, and engagement. Unfortunately, treatment integrity…

The Puppy Love problem asked fifth and sixth grade students to use their prior knowledge of measures of central tendency to determine a data set when given the mean, mode, median, and range of the set. The problem discussed in this article is a task with a higher level of cognitive demand because it requires that students (1) explore and…