Two contestants debate the notorious probability problem of the sex of the second child. The conclusions boil down to explication of the underlying scenarios and assumptions. Basic principles of probability theory are highlighted.

A comparative analysis of 51 case problems used in five problem-based pedagogical models was conducted to examine whether there are differences in their characteristics and the implications of such differences on the selection and generation of ill-structured case problems. The five pedagogical models were: situated learning, goal-based scenario,…

The focus of this article is a theoretical discussion and analysis of the concept of intuition. The article investigates how intuition, in the psychological sense, is connected with concepts like problem-solving, reflective thinking, automatized thinking activities and understanding 'gestalt' or structure and meaning. Automatisms are based on…

The role of the body, particularly gesture, in supporting mathematical reasoning is an emerging area of research in mathematics education. In the present study, we examine undergraduate students providing a justification for a task about a system of alternating gears, which involves concepts of number relating to even/odd patterns. Some…

Counting problems have applications in probability and computer science, and they provide rich contexts for problem solving. Such problems are accessible to students, but subtleties can arise that make them surprisingly difficult to solve. In this paper, students' work on the Groups of Students problem is presented, and an important issue related…

Researchers are currently investigating how calculus students understand the basic concepts of first-year calculus, including the integral. However, much is still unknown regarding the "cognitive resources" (i.e., stable cognitive units that can be accessed by an individual) that students hold and draw on when thinking about the integral. This…

Problem posing (not only in lesson planning but also directly in teaching whenever needed) is one of the attributes of a teacher's subject didactic competence. In this paper, problem posing in teacher education is understood as an educational and a diagnostic tool. The results of the study were gained in pre-service primary school teacher…

In English as a foreign language (EFL) classes, teachers face the common challenge of demonstrating the importance of English to students who do not have much contact with users of English in their daily life. This often translates to a lack of progress in English language learning in settings such as Thailand, where in spite of the emphasis put…

The context of this paper is a strategy at a large Australian university that involves embedding a new graduate quality 'cultural competence' and lifting the profile of Aboriginal and Torres Strait Islander cultures, experiences and histories. It has been argued that the inclusion of Indigenous knowledges is essential for the decolonisation of our…

In the age of globalization and information and technology, changes as in all the fields of human life are being actualized in the education systems, too. It is of great importance for the teachers who are the most notable agents to transfer the changes to the next generations to be equipped with skills and knowledge so called 21st century skills…

According to the National Center for Education Statistics (2016), the number of public school students in the United States who were English learners (ELs) was estimated at 4.5 million. However, in 2005, the national standardized testing scores (Fry 2007) show that about 51 percent of eighth-grade EL students were behind other students in reading…

Professional accrediting bodies and accounting education reviews have long expressed concerns about student capabilities and learning outcomes, including the ability to apply knowledge and make reasoned judgements. In response, we report on a new design that uses a web of threshold concepts to guide curriculum development. With an associated focus…

For adolescents who struggle with reading, a lack of confidence and reluctance to read in content areas such as history/social science presents challenges to learning. More specifically, difficulties with text comprehension and analysis limit content knowledge acquisition and self-expression, which can impact academic success. Therefore, it is…

Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the…

This paper presents an innovative project-based learning activity meant to support language beginner students to develop, via their core curriculum, five enterprise capabilities ("authentic problem-solving;" "innovation and creativity;" "risk-taking;" "taking action;" and "true collaboration"),…