The notion of function is central in all of the secondary curriculum, and indeed functional models appear in almost all higher education that is based on mathematics. However, in secondary education, functions usually appear in restricted and somewhat sterile forms. In this (mostly theoretical) paper, we present a proposal -- exemplified by a…

This study investigated the added value of real-time adaptive feedback on seventh graders' performances in tablet-based geometry learning. To isolate the effects of the medium (ie, tablet) from those of the feedback, three groups were compared: paper-and-pencil, pen-based tablet without feedback and pen-based tablet with feedback. The feedback was…

Science educators generally accept that the nature of science (NOS) should have a prominent place in school science curricula. This study highlights the special opportunity offered by the history of science (HOS) as a context for teaching NOS, by revealing HOS instructors' perspectives. We collected data from 15 instructors at 11 institutions who…

Analysing graphs, formulating covariational relationships, and hypothesizing systems' behaviour have emerged as frequent objectives of contemporary research in physics education. As such, these studies aim to help students achieve these objectives. While a consensus has been reached on the cognitive benefits of emphasizing the structural domain of…

Epistemology plays an important role in detecting learning difficulties in a given field of knowledge and in directing strategies to eliminate them. This quantitative study aimed to get to know the perceptions of 624 students, related to the nature of science and science teaching and learning. The cross-sectional survey, based on the Inventory of…

Value judgments, prescriptions and proscriptions concerning instructional proposals seem to be very frequent in works in Didactics (papers, communications,…). In this paper we tackle the question of whether claims of this kind are legitimate. In few words, we wonder whether didactics can say how to teach. For that, we analyse and compare the…

Mathematics and science are natural partners. One of many examples of this partnership occurs when scientific observations are made, thus providing data that can be used for mathematical modeling. Developing mathematical relationships elucidates such scientific principles. This activity describes a data-collection activity in which students employ…

Science, Technology, Engineering, and Mathematics (STEM) education has become one of the main priorities in the United States. Science education communities and researchers advocate for integration of STEM disciplines throughout the teaching curriculum. This requires teacher knowledge in STEM disciplines, as well as competence in scientific…

After the success of a course on cryptography for a general audience, based on Simon Singh's "The Code Book" [49], I decided to try again and create a mathematics course for a general audience based on "The Physics of Star Trek" by Lawrence Krauss [32]. This article looks at the challenges of designing a physics-based mathematics course "from…

For the forty-fourth time, the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented online and onsite during the annual AECT Convention. Volume 1 contains papers dealing primarily with research and development topics. Papers dealing with…

Selection bias is a problem for mathematics education researchers interested in using observational rather than experimental data to make causal inferences about the effects of different instructional methods in mathematics on student outcomes. Propensity score methods represent 1 approach to dealing with such selection bias. This article…

The "new biology" of the 21st century is increasingly dependent on mathematics, and preparing high school students to have both strong science and math skills has created major challenges for both disciplines. Researchers and educators in biology and mathematics have been working long hours on a project to create high school teaching modules…

In the framework of a curriculum reform in the Netherlands, an interdisciplinary open inquiry assignment has been introduced as a part of the final secondary school examinations. We developed and evaluated a preparatory open inquiry assignment to be used in science and mathematics departments of schools, in collaboration with each other: the…