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…

This study describes an intervention that uses morphology to support word learning within comprehension instruction of content-specific texts. The intervention is detailed such that the morphological understandings used to support word choice and word learning activities are clear and can be replicated by researchers and educators. Six main…

Recent studies have indicated, particularly in the European context, that students' mathematical successes on international tests of student achievement may not be attributable to the quality of classroom instruction, although, as is shown, this is unlikely to be the case in Flanders, the autonomous Dutch-speaking region of Belgium. Flemish…

A challenge for teachers is to incorporate the Standards for Mathematical Practice (CCSSI 2010) throughout their teaching of mathematics so that the Common Core Standards do not revert back to a purely content-driven curriculum. One way to achieve this is through the use of mathematically rich, investigative tasks. These tasks encourage students…

Derivatives and integrals are two important concepts of calculus which are precondition topics for most of mathematics courses and other courses in different fields of studies. A majority of students at the undergraduate level have to master derivatives and integrals if they want to be successful in their studies However, students encounter…

This book collects the proceedings of the 7th International Conference on Smart Learning Environments (ICSLE2023), held in Bangkok, Thailand, as a hybrid conference from 31st Aug to 1st Sep 2023. The proceedings focus on the interplay between pedagogy and technology, and their fusion towards the advancement of smart learning for a sustainable…