In this experiment, students build a spectrometer to explore infrared radiation and greenhouse gases in an inquiry-based investigation to introduce climate science in a general chemistry lab course. The lab is based on the exploration of the thermal effects of molecular absorption of infrared radiation by greenhouse and non-greenhouse gases. A…

Students' experiences with statistics and data analysis in middle school are often limited to little more than making and interpreting graphs. Although students may develop fluency in statistical procedures and vocabulary, they frequently lack the skills necessary to apply statistical reasoning in situations other than clear-cut textbook examples.…

Problems sourced from national and international competitions such as the Australian Mathematics Competition are often used effectively as enrichment and/or extension activities for high achieving students. While this has meant that they are sometimes deemed too esoteric or trivial for use in the regular classroom, this paper takes the view that…

Highly-traditional education systems that mainly offer what is known as "direct instruction" usually result in graduates with a surface approach to learning rather than a deep one. What is meant by deep-learning is learning that involves critical analysis, the linking of ideas and concepts, creative problem solving, and application…

Context based learning (CBL) is a powerful tool that utilises areas of student interest framed in meaningful contexts to foster development of new skills and understanding. For middle school students, engineering activities that relate to real-world problems provide suitable CBL contexts for acquiring conceptual scientific and mathematical…

In this article, the author describes a different theory of multiple abilities, the Prism Model, developed with Usanee Anuruthwong from Thailand, and further evolved with Belle Wallace from the UK and Leonie Kronborg from Australia. Using this model, insights gained will be shared that have been gained from working with children and adults from…

Teachers have found that engaging students in justification can help students deepen and retain mathematical knowledge, gain a greater sense of ownership over the material, and improve communication and representation skills (Staples, Bartlo, and Thanheiser 2012). Student engagement in a justification activity can also lead to more equitable…

This article describes a fourth grade project involving elementary students, their teachers, elementary preservice teachers, and university faculty. The project focused on a work of juvenile historical fiction, culminating in social studies lessons that were interdisciplinary. This collaboration between educators was made possible by a…

Research has identified the essential proficiencies students should possess to be successful, but they are often not incorporated in the ESOL classroom. As a result, many teachers lack access to adequate instructional strategies to guide ELs to academic success. We argue in this article that, to provide a strong foundation and a bright future for…

Executive function (EF) refers to the set of core self-regulatory skills required for deliberate, goal-directed problem solving. These skills, which are exercised when children pause and reflect before reacting, provide a foundation for learning in a classroom context. They make it possible to pay attention, think flexibly, keep information in…

This article reviews the famous "matching problem," with a particular focus on the expected number of objects that are correctly placed. The author discusses the following topics: three versions suitable for teaching the matching problem in the classroom; the solution to the matching problem; the use of the strong form of mathematical…

In this article, Clay and Rhee use the mathematics topic of circles and the lines that intersect them to introduce the idea of looking at the single mathematical idea of relationships--in this case, between angles and arcs--across a group of problems. They introduce the mathematics that underlies these relationships, beginning with the questions…

Students with learning disabilities (LD) consistently struggle with word problem solving in mathematics classes. This difficulty has made curricular, state, and national tests particularly stressful, as word problem solving has become a predominant feature of such student performance assessments. Research suggests that students with LD perform…

The "Next Generation Science Standards" (NGSS Lead States 2013) urge science teachers to include engineering practices and ideas in their already full science curriculum, but many teachers do not know where to start. Only 7% of high school science teachers report feeling "very well prepared" to teach engineering. The…

Constructing viable arguments and reasoning abstractly is an essential part of the Common Core State Standards for Mathematics (CCSSI 2010). This article discusses the scenarios in which a mathematical task is impossible to accomplish, as well as how to approach impossible scenarios in the classroom. The concept of proof is introduced as the…