Problem posing is a learning approach that trains students to be able to process and communicate mathematical problems based on information obtained. This study aims to describe the ability of high school students to pose problems on the topic of the system of linear equations in two variables (SLETV). This study used a quantitative descriptive…

Remarks adapted from presentation: "Disrupting Law, Reclaiming Justice," a Conversation on Gillian Hadfield's "Rules for a Flat World" on October 8, 2018 at Creighton University. Despite the advancement in the ADR movement, there is much work to be done for justice to be accessible to "All." The legal profession…

In this paper we present two simulations designed with GeoGebra that illustrate dynamically a key concept in Vector Calculus: line integrals of vector fields, along with other associated mathematical properties and applications. Students are not required to know the GeoGebra environment: a user-friendly interface with buttons, functionalities and…

Collaborative problem solving (CPS) ranks among the top five most critical skills necessary for college graduates to meet workforce demands (Hart Research Associates, 2015). It is also deemed a critical skill for educational success (Beaver, 2013). It thus deserves more prominence in the suite of courses and subjects assessed in K-16. Such…

A key aim of mathematics teaching is for children to develop appropriate and efficient strategies for solving tasks. The analysis presented in this paper moves beyond the exploration of changes in the strategies that children employ to solve tasks and extends to observation and exploration of changes that occur when their overall solving approach…

Mathematical reasoning with algebraic and geometric representations is essential for success in upperdivision and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations. By designing a task for middle-division physics students to translate a geometric representation to…

Consulting projects where students are tasked to propose solutions to a client issue are a common feature in many business courses. Whether scenario-based or dealing with real clients, students engaged in consulting tasks tend to focus on solution development without giving due consideration to the underlying process by which they derive their…

An effective way to improve students' mathematical knowledge is to have them construct multiple solutions for real-world problems. Prior knowledge is a relevant prerequisite for learning outcomes, and the experience of competence is a basic need that has to be fulfilled to improve achievement. In the current experimental study (N = 307), we…

This commentary first seeks to situate the broad themes of Bruno Latour's work by discussing how particular texts and ideas have influenced the author's thinking about science, the environment, education, and research methods that enable generative approaches towards these phenomena. Latour's work deftly crosses borders that have long siloed…

A multiweek laboratory experiment is described, which guides students to use data to make decisions through multiple steps, before reaching a final conclusion. The lab focuses on the comparisons of fluorescence and absorbance spectroscopies to determine the concentration of a desired substance in an unknown sample in consideration of a complex…

Over the past several decades, green chemistry has gained prominence in chemistry education. However, the development of green chemistry curricula has not reached all levels of education equally, focusing mainly on elective and upper division courses. We deliberately focused our green chemistry curriculum redesign on a high enrollment introductory…

Many studies provide insights into students' conceptions of various linear algebra topics and difficulties they face with multiple modes of thinking needed for conceptualization. While it is important to understand students' initial conceptions, students' transfer of learning of these conceptions to subsequent courses can provide additional…

In science education, building models of dynamical systems is a promising method for understanding various natural phenomena and artifacts with scientific concepts. It is, however, difficult to learn skills and concepts necessary for modeling. Though several model-building learning environments (MBEs) have been developed with potentially useful…

Seventy-five participants from one suburban high school formed 21 teams with 3-4 members each for the Future Problem Solving Program International (FPSPI). Students were selected to participate in either the regular FPSPI or an enhanced FPSPI, where multiple group training activities grounded in problem-solving style were incorporated into a…

This professional practice paper is underpinned philosophically by the indisputable centrality of proof to the discipline of mathematics. Proof offers students the opportunity to deepen their own understanding of mathematical ideas, to construct and defend logical arguments, and to think critically about the veracity of mathematical statements.…