Stephanie Whitney teaches in the department of teacher education at DePaul University in Chicago, Illinois. Her interest is in how students reason and make sense of mathematics, and how teachers can promote this behavior. Students should engage in reasoning and sense making daily in their mathematics classes. It is often through students'…

This paper deals with ideas about dynamic presentation of photo-pictures by means of dynamic software GeoGebra in order to motivate art students to get acquainted with some specific mathematical functions. The results of the experiment include deeper understanding of the functions' nature, search of new functions for dealing with a practical…

When organic chemistry students encounter competing reactions, they are often overwhelmed by the task of evaluating multiple factors that affect the outcome of a reaction. The use of a decision tree is a useful tool to teach students to evaluate a complex situation and propose a likely outcome. Specifically, a decision tree can help students…

Formulas, problem types, keywords, and tricky techniques can certainly be valuable tools for successful counters. However, they can easily become substitutes for critical thinking about counting problems and for deep consideration of the set of outcomes. Formulas and techniques should serve as tools for students as they think critically about…

A focus on enrollments, rankings, uncertain budgets, and branding efforts to operate universities could have serious implications for discussions of sustainable solutions to complex problems and the decision-making processes of leaders. The Authentic Leadership Model for framing ill-defined problems in higher education is posited to improve the…

Sets in the game "Set" are lines in a certain four-dimensional space. Here we introduce planes into the game, leading to interesting mathematical questions, some of which we solve, and to a wonderful variation on the game "Set," in which every tableau of nine cards must contain at least one configuration for a player to pick up.

Solving equations in finite algebraically structures (semigroups with identity, groups, rings or fields) many times is not easy. Even the professionals can have trouble in such cases. Therefore, in this paper we proposed to solve in the various finite groups or fields, a binomial equation of the form (1). We specify that this equation has been…

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.

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…

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…

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"),…

This essay is grounded in the scholarship of teaching and learning and will focus specifically on the ways in which the Harry Potter books highlight the diversity of learning and teaching styles; privilege active experiential learning and problem solving over passive rote learning; and emphasize the benefits of collaboration over competition.…