Authenticity is a term commonly used in reference to pedagogical and curricular qualities of mathematics teaching and learning, but its use lacks a coherent framework. The work of researchers in engineering education provides such a framework. Authentic qualities of mathematics teaching and learning are fit within a model described by Strobel,…

In this study, explanations of future mathematics teachers about algebra were analysed according to the levels of understanding used by Kinach (2002). The participants for the study were 101 teacher candidates attending the final semester of a teacher training program. For data collection, a form containing four scenario-type items were…

Video games offer an exciting opportunity for learners to engage in computational thinking in informal contexts. This paper describes a genre of learning environments called constructionist video games that are especially well suited for developing learners' computational thinking skills. These games blend features of conventional video games with…

Flexibility in transforming algebraic expressions is recognized as fundamental for a rich procedural knowledge. Here, flexibility in-depth is proposed as the ability to apply one strategy to a wide range of unfamiliar expressions. In this study, design experiments with four groups of students were conducted to support students' flexibility…

John McNamara shares his wisdom and humbly credits Camillo Grazzini, Jenny Höglund, and David Kahn for his growth in Montessori. Recognizing more than what he has learned from his mentors, he shares the lessons he has learned from his students themselves. Math, science, history, and language are so integrated in the curriculum that students…

Cara, a seventh-grade student with learning disabilities (LD) in mathematics, believes that the ratio 2:3 is equivalent to 4:5 because there is a difference of one between the two numbers in each ratio and there is a difference of two between corresponding numbers in the two ratios (2 + 2 = 4 and 3 + 2 = 5). This misconception affects her ability…

This Application Brief highlights Seattle University's Red Winged Leadership (RWL) exercise, an innovative curriculum for graduate business leadership education. RWL requires students to apply course materials to a visible and challenging class project, and to critically examine and recognize leadership in the broader community. Both allow for…

Evidence-based management (EBMgt) is a growing literature stream in management education which contends that management decision making should be informed by the best available scientific evidence (Rousseau, 2006). Encouraged by the success of evidence-based practice in the field of medicine, advocates of EBMgt have increasingly called for…

This study analyzed children's use of mental computation strategies and the standard algorithm on multi-digit subtractions. Fifty-eight Flemish 4th graders of varying mathematical achievement level were individually offered subtractions that either stimulated the use of mental computation strategies or the standard algorithm in one choice and two…

The purpose of this mixed methods study was to explore the relationship of hope in school principal leadership through (a) the administration of a self-report instrument that measures trait hope in the school principal, (b) the administration of an instrument that measures the faculty's perception of the school principal's hope, (c) the…

Social studies educators have encouraged the use of primary sources and inquiry in the classroom for decades; however, inquiry-based instruction in which students engage meaningfully with primary sources remains the exception rather than the norm. The publication of the College, Career and Civic Life (C3) Framework for Social Studies State…

We report on the findings from an exploratory pilot study using the experience-sampling method (ESM) and interviews to examine learning in two undergraduate engineering technology courses designed to promote creativity. Results of the ESM analysis showed that students' positive experience decreased slightly in the first course and increased…

The ability to reason about numbers in relative terms is essential for quantitative literacy, which is necessary for studying academic disciplines and for critical citizenship. However, the ability to reason with proportions is known to be difficult to learn and to take a long time to develop. To determine how well higher education applicants can…

This article focuses on learners' understanding and their descriptions of the concepts of area and perimeter, how learners solve problems involving area and perimeter and the relationship between them and misconceptions, and the causes of these misconceptions as revealed by learners when solving these problems. A written test was administered to…

In our contribution we focus on the possibility to develop open approach to mathematics in future primary school teachers during a university course on mathematics conducted in inquiry-based manner. In the first part of the research we analyse data obtained in the beginning and in the end of the mathematics course with respect to two main aspects…