A problem-based learning activity focusing on the human impact on the environment and the importance of sustainable development is presented. The activity revolves around a mysterious island where the civilization is on the blink of extinction, prompting students to investigate how human behavior, ecosystems, resources, and natural balance…

Abstract concepts, such as gravity, may provide the perfect opportunity to bring phenomena into the classroom. As a knowledge generation strategy, summarizing can foster that opportunity. Using phenomena and summary writing together might help student learning since it requires making connections between their ideas and words to explain the…

In this article, fourth graders investigate the physical and behavioral adaptations of crayfish. Because crayfish are native to the area and many students have experience observing them in local streams, the author decided to use these organisms to explore the relationship between the structure of their various body parts and how those structures…

Some students tend to lose their love for mathematics as their educational journeys continue. Research has documented the various culprits contributing to this phenomenon, but seldom are solutions offered that can be addressed in one's own classroom. In this article, the authors described their attempt to kindle students' passion for mathematics…

Students often have the misconception that mathematics involves reading the problem, staring at the page, and then writing down an answer. With more than twenty years of experience working with students in eighth-grade math through college calculus, the author has been increasingly interested in how she can foster problem-solving skills in her…

Instructional discussion is a teaching method used in many classrooms across grade levels. In fact, the Common Core State Standards promote the use of instructional discussion in secondary classrooms (Common Core State Standards Initiative, 2018a). Students, however, are not always taught best practices for engaging in a discussion and may feel…

This column includes activities inspired by children's literature. This month's issue has students experience nature by examining how seeds are transported from one location to another or consider what it takes for organisms to survive in an environment. Both activities allow elementary-age children to think about how outdoor spaces can be…

Recognizing the challenges that students face when they may lack background and experiential knowledge with regard to coins is important so that teachers can address this during instruction. Exposure to coins is one of the basic necessities to learning about the coins, but that is just the initial part of the learning sequence. Unless students are…

Teaching teachers to participate in mathematical inquiry has the potential to both transform belief systems about mathematics and to transform teachers from consumers of mathematics to producers of mathematics. The focus of this paper is to describe the use of a problem, based on a non-traditional binary operation, to encourage and teach…

The correct use of visual perspective is one of the main reasons that virtual reality environments and realistic works of art look lifelike. Geometric construction techniques used by artists to achieve an accurate perspective effect were developed during the Renaissance. With the rise of computer graphics, translating the geometric ideas of 600…

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) propose a new vision for the mathematics classroom with updated content standards and Standards for Mathematical Practice (SMP). These practices are founded on NCTM processes (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections) and abilities…

Imagine a mathematics classroom in which students engage in sharing ideas and reasoning through solutions to interesting mathematical problems. They are excited about mathematics and working on challenging problems that encourage collaboration and critical thinking. These are things that teachers want, but sometimes they do not know how to achieve…

Twenty years ago when the author was student teaching, he quickly learned what geometry teachers and researchers (e.g., Senk 1985) have long known: High school geometry students struggle with proof. Throughout his career, he has tried to create instructional materials to make proof more accessible to his students. From field-testing materials with…

In this article, we provide brief overviews of the definitions of formative and summative assessment and a few examples of types of formative and summative assessments that can be used in classroom contexts. We highlight the points that these two types of assessment are complementary and the differences between them are often in the way these…

In this article, the authors provide a menu of nine discussion frameworks from which teachers can choose to engage students in collaborative conversations about text in order to foster reading comprehension and address the Common Core State Standards. Some of the frameworks identified in this article are better suited to instructional goals that…