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 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…

In this paper, we present a set of activities for an introduction to solving counting problems. These activities emerged from a teaching experiment with two university students, during which they reinvented four basic counting formulas. Here we present a three-phase set of activities: orienting counting activities; reinvention counting activities;…

This work aims to demonstrate the use of Excel spreadsheets for solving L-L extraction problems. The key to solving the problems successfully is to be able to determine a tie line on the ternary diagram where the calculation must be carried out. This enables the reader to analyze the extraction process starting with a simple operation, the…

Problem-based learning (PBL) is an internationally recognised pedagogical approach that is implemented within a number of disciplines. The relevance and uptake of PBL in psychology has to date, however, received very limited attention. The aim of this paper is therefore to review published accounts of how PBL is being used to deliver psychology…

Teachers and students commonly use various concrete representations during mathematical instruction. These representations can be utilized to help students understand mathematical concepts and processes, increase flexibility of thinking, facilitate problem solving, and reduce anxiety while doing mathematics. Unfortunately, the manner in which some…

The current evaluation assessed the effectiveness of a rapid toilet training procedure for three young males with autism. The evaluation extended the research on rapid toilet training procedures by assessing parents' preference to include two common toilet training components, a urine alarm and positive practice. In addition, we assessed child…

The "Wisdom of Crowds" hypothesis has been introduced into many fields, but not into education. Groups with diverse knowledge and skills make better decisions than homogenous groups or expert groups. Diversity adds different points of view, which improve the problem solving ability of the group. The increased use of social networks makes…

A problem-solving scaffold approach to synthesis was developed and implemented in two intervention sections of Chemistry 2211K (Organic Chemistry I) at Georgia Gwinnett College (GGC). A third section of Chemistry 2211K at GGC served as the control group for the experiment. Synthesis problems for chapter quizzes and the final examination were…

The article opens with a Geoboard Triangle Quest in this form: "How many noncongruent triangles can be constructed on a 4 × 4 geoboard? How do you know? Justify your answer with significant supporting work." The use of advanced digital technologies as tools for problem solving receives much attention in the methods classes if the…

For many students in engineering and engineering technology programs in the US, senior capstone design courses require students to form a team, define a problem, and find a feasible technical solution to address this problem. Students must integrate the knowledge and skills acquired during their studies at the college or university level. These…

Purpose: The aim of this study is to obtain a broader knowledge of innovative pedagogical practices in higher education, by analysing the particular case of the Higher Institute of Administration and Languages (ISAL). The literature review reveals a gap in this scientific field, and filling this gap is as imperative as the need to articulate…

This research explores the possibility of providing a general guideline for the use of LEGO® SERIOUS PLAY® (LSP) in youth work and examining the experiences of the frontline youth workers in Hong Kong who have adopted LSP to engage youngsters, who have been experiencing enormous socioeconomic challenges in different aspects. A 12-session workshop…

World language classrooms in the United States have been significantly impacted by the physical and ideological disruptions experienced in recent history. Such disruptive times call for the reform of pedagogical practices to raise awareness of social justice issues and ignite real change both in and out of language classrooms. This essay outlines…

Systematic inquiry is an inherent part of social work practice. Despite this fact, social work students and practitioners continue to view research as difficult, intimidating and irrelevant. This disconnect is compounded by a lack of rigorous study on how best to teach research concepts to social work students. One way to bridge this gap is to…