In scientific practices, students are frequently asked to conduct investigations to produce data that will serve as the basis for evidence that meets the goals of an investigation. But however, assisting in the formulation and implementation of students' investigations is often a difficult task for many teachers because authentic investigations…

Young's double-slit experiment is one of the most historically significant works in physics, and one that is easily done in an introductory physics class. It is also an excellent example of an investigation that allows us to infer the nature of phenomena beyond direct observation. Unfortunately, perhaps because of this, it is often also an…

The present study examined to what extent inquiry-based investigation as an instructional approach associated with students' overall science achievement and achievement in cognitive domains, including knowing science facts, applying scientific principles, and reasoning with scientific concepts to solve problems. Using TIMSS 2007 science…

A novel smartphone microscope can be used to observe the dissolution and crystallization of sodium chloride at a microscopic level. Observation of these seemingly simple phenomena through the microscope at 100× magnification can actually reveal some surprising behavior. These experiments offer the opportunity to discuss some basic concepts such as…

Young children thrive in classrooms that allow them to explore and discover their environment and interests and also support them in this learning. Because children learn best when they are interested and excited, early-childhood educators should offer children play-based, integrated mathematical experiences (NRC 2009). In this article, the…

One goal of our Discovering the Art of Mathematics project is to empower students in the liberal arts to become confident creators of art and imaginative creators of mathematics. In this paper, we describe our experience with using string art to guide liberal arts students in exploring ideas of calculus. We provide excerpts from our inquiry-based…

The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and…

Single photon experiments involving a Mach-Zehnder interferometer can illustrate the fundamental principles of quantum mechanics, e.g., the wave-particle duality of a single photon, single photon interference, and the probabilistic nature of quantum measurement involving single photons. These experiments explicitly make the connection between the…

The benefits of rich tasks, project-based learning, and other inquiry-based approaches in terms of student understanding and engagement with mathematics are well documented. Such pedagogies are consistent with the development of mathematical proficiencies as described in the "Australian Curriculum: Mathematics" (Australian Curriculum…

This study analysed 10 top-performing regions in PISA 2015 on their science performances and instructional practices. The regions include Singapore, Japan, Estonia, Taipei, Finland, Macao, Canada, Hong Kong, China and Korea. The science performances of the 10 regions and their teaching practices are described and compared. The construct of…

This inquiry-based activity for high school students introduces concepts of ecology and the importance of data analysis to science. Using an investigative case, students generate independent questions about birds, access Cornell Lab of Ornithology online resources to collect data, organize and graph data using Excel, and make claims based on…

When high school students are asked what's the best part of science class, many will say it's the field trips. Students enjoy engaging in authentic, community-based science outside the classroom. To capitalize on this, Patrick Willis created the Bird Box Survey Project for his introductory field biology class. The project takes students…

In this article, educators at University Primary School in Champaign, Illinois, share examples and understandings of the ways The Project Approach challenges young children to think critically about topics of importance in their world. Project investigations that provoke academic and social challenges for individuals and classroom communities of…

Students today expect the use of technology in their classes, rather than have to listen to less-than-engaging lectures. College students are connected electronically and incessant technology consumers. As a result, they may prefer the infusion of technologies to help them learn and enjoy the process of learning, rather than having to listen…

This report describes how teachers support ninth-grade students who are doing scientific investigations in Natural Sciences in South African schools. This is of interest as allowing students to participate in inquiry-based investigations is a significant shift from traditional practices. It presents a new challenge to teachers as it signals an…