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,…

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…

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…

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…

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…

Researchers promoting the inclusion of technology for teaching and learning have recently called for the integration of mathematical technologies into the preparation of future teachers. This report analyzes the dynamic geometry sketches produced by preservice secondary mathematics teachers when investigating trigonometric relationships. We…

With traditional teaching methods pervasive in the U.S., it is crucial that mathematics teacher educators and professional development leaders understand what methods result in authentic changes in classroom instruction. Lesson study presents a promising approach to developing reform-oriented instruction, as it is situated within the classroom,…

What is the nature of art/science collaborations in museums? How do art objects and activities contribute to the successes of science centers? Based on the premise that art exhibitions and art-based activities engage museum visitors in different ways than do strictly factual, information-based displays, I address these questions in a case study…

Multiplicative thinking is a critical stage in mathematical learning and underpins much of the mathematics learned beyond middle primary years. Its components are complex and an inability to understand them conceptually is likely to undermine students' capacity to develop beyond additive thinking. Of particular importance are the ten times…

Research suggests that inquiry-based strategies are the most effective modes of delivery in working with the gifted students. The characteristics of the gifted reveal a strong basis for understanding the power of question-asking as a part of differentiating curriculum. This article describes three different models of questioning--Guilford, Bloom,…

Traditionally, "z" is assumed to be a complex number and the roots are usually determined by using de Moivre's theorem adapted for fractional indices. The roots are represented in the Argand plane by points that lie equally pitched around a circle of unit radius. The "n"-th roots of unity always include the real number 1, and…

Making sense of mathematical concepts and solving mathematical problems may demand different forms of reasoning. These could be either domain-based, such as algebraic, geometric or statistical reasoning, while others are more general such as inductive/deductive reasoning. This article aims at giving visibility to a particular form of reasoning…

Robust knowledge serves as a common instructional target in academic settings. Past research identifying characteristics of experts' knowledge across many domains can help clarify the features of robust knowledge as well as ways of assessing it. We review the expertise literature and identify three key features of robust knowledge (deep,…

To familiarize first-year students with the important ingredients of a physics experiment, we offer them a project close to their daily life: measuring the effect of air resistance on a bicycle. Experiments are done with a bicycle freewheeling on a downhill slope. The data are compared with equations of motions corresponding to different models…

Game-based learning is being increasingly used in teaching humanities. In teaching politology, it seems to bring the most effective results. Through educational games, learners can fully experience modeling particular situations in the job of a would-be political technologist, which would guarantee training professional politologists with maximum…