How can a cognitively demanding real-world task such as the Seven Billion People problem promote productive struggle "and" help shape students' mathematical dispositions? Driving home from school one evening, Jaclyn Murawska heard a commentator on the radio announce three statements: (1) experts had determined that the world population…

With increasing calls for a greater connection between management education and practice, teaching cases play a vital role in the business curriculum. Cases not only allow instructors to expose students to practical problems but also let educators contribute to the scholarship of teaching and learning. An important reason why faculty members may…

Mathematics teachers often resist generic literacy strategies because they do not seem relevant to math learning. Discipline-specific literacy practices that emerge directly from the math content and processes under study are more likely to be embraced by math teachers. Furthermore, national and state-level mathematics standards as well as Common…

Purpose: Learning mathematics is a complex process, requiring many conceptual lenses and rich data sources to document and understand students' construction of knowledge. The purpose of this article is both to introduce a unique database on students' mathematical learning and to describe analytical techniques used to study students' growth of the…

The article is dedicated to solving extrema problems in teaching mathematics, without using calculus. We present and discuss a wide variety of mathematical extrema tasks where the extrema are obtained and find their solutions without resorting to differential. Particular attention is paid to the role of arithmetic and geometric means inequality in…

Being able to contextualise and solve complex problems is a highly valued skill in STEM graduates--a skill which we strive to nurture in our students. Since its introduction into undergraduate teaching, laboratory teaching has been used to consolidate students conceptual understanding, develop their practical skills and inculcate an evidence based…

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…

Many students around the world are exposed to a rote teaching style in mathematics that emphasizes memorization of procedures. Students are frequently presented with standard types of equations in their textbooks, in which the equal sign is immediately preceding the answer (a + b = c). This exposure can lead to many misconceptions, such as…

This article describes how fifth grade students participated in a place-based environmental education initiative in West Michigan that supports teachers who want to involve their students in citizen science by protecting local water resources. Every year, Groundswell works with about 100 teachers at 30 schools to engage students in citizen science…

Green chemistry and sustainability have garnered more awareness in the chemical industry in recent years, but green chemistry classes are still not commonplace for either the undergraduate or graduate student curriculum. Additionally, many departments are seeking avenues to reach greater numbers and types of learners through online courses. To…

Perovskite solar cells have garnered exponential research interest due to their facile fabrication, solution processability, and low cost. However, there have been limited efforts to integrate this class of materials into the undergraduate laboratory curriculum. Therefore, we designed an integrated laboratory experiment in our upper-division…

We describe three activities that help undergraduates (pre-service teachers) to develop scientific vocabulary on measurable attributes and units of measurement. Measurable attributes are important features in understanding a word problem and solving the problem. These activities help students comprehend word problems better by identifying…

Although traditional textbooks may not guide students through explorations or encourage group work, as many standards-based curricula do, virtually all textbooks contain mathematically accurate information and problems that, with adjustment, can be leveraged to support mathematical curiosity, reasoning, and discussion. Teachers who recognize rich…

The Research Skill Development (RSD) framework was devised in 2006 to articulate what educators do when they facilitate student learning through active exploration in ways that enable their skills to grow in sophistication and rigour. This special issue of JUTLP comprises eight articles that focus on the critique, adaptation and application of the…

In this article, the authors engage middle-grades students in a series of tasks to develop the mathematical idea of equal versus equivalent, culminating in a gerrymandering task with social, political, economic, and educational implications. The primary mathematical goals of this exploration were to involve students in solving real-world problems…