The Building Painted Cubes Task is a groupworthy algebraic task. Students build cubes using linking unit cubes, search for algebraic patterns, and report findings on posters. This task can create spaces for students to see themselves as doers of mathematics.

Every student has mathematical strengths beyond knowing basic facts, solving problems quickly, or showing work clearly. In this article, the author presents Smiles as an "on-ramp" task that supports students working together by unveiling and leveraging mathematical strengths. Nielsen describes on-ramp mathematics tasks as scaffolds that…

Generalizing, conjecturing, representing, justifying, and refuting are integral parts of algebraic thinking and mathematical thinking in general (Lannin et al., 2011). The activity described in this article makes a case for generalizing as an overall mindset for any introductory algebra or geometry class by illustrating how generalization problems…

As we move further into the digital age, the acquisition of digital literacy (DL) and computational thinking (CT) skills is emerging internationally as an essential goal for students in contemporary school curricula. As the world becomes more uncertain and volatile due to impacts of artificial intelligence (AI), international unrest, climate…

This article describes the release of the second edition of "The National Atlas of Korea" (Choe 2015), published in December 2014 by the National Geographic Information Institute (NGII) of South Korea (the Republic of Korea) in both Korean- and English-language versions. This second edition is a major update and improvement over its 2009…

Students best learn science through a combination of science inquiry and language learning. This article presents a series of chemistry lessons on the naming of compounds. The weeklong unit focuses on patterns across compound names and chemical formulas and addresses several of the "Next Generation Science Standards" (NGSS Lead States…

Secondary school students in Singapore are expected to find an expression for the general or "nth" term of an arithmetic progression (AP) without using the AP formula T[subscript n] = a + (n-1)d, where "a" is the first term, "n" is the number of terms and "d" is the common difference between successive…

Mathematics is rich in visual representations. Such visual representations are the means by which mathematical patterns "are recorded and analyzed." With respect to "vocabulary" and "symbols," numerous educators have focused on issues inherent in the language of mathematics that influence students' success with mathematics communication.…

The place of grammar in an English or literacy curriculum has long been a source of debate, one in which professionals, politicians and the public have often engaged with unbridled enthusiasm. As such, the debate has sometimes been characterised more by ideology or polemic, than by intellectual engagement with the core ideas. In part, this is…

Chemical education occurs in settings other than just the chemistry classroom. High school biology courses are frequently where students are introduced to organic molecules and their importance to cellular chemistry. However, structural representations are often intimidating because students have not been introduced to the language. As part of a…

As educators, we need to stop fearing data and embrace its power. This article discusses how classroom teachers can design, implement, and analyze longitudinal assessments to diagnose issues related to student achievement and meet the demands of our evolving data-driven educational culture. Practical advice on exam production and data analysis…

Pattern recognition is a critical component of success in mathematics. Students at all levels should be provided with opportunities to investigate and uncover patterns throughout their mathematical careers. Further, they should be allowed to explore situations in which pattern recognition plays a vital role in the construction of important…