Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

This research aims to determine the effect of STEM (Science, Technology, Engineering, and Mathematics) learning on students' mathematical numeracy abilities. The research method uses descriptive quantitative research by only looking at the values displayed based on descriptive statistics, involving 40 participants during 8 meetings and using 10…

Background/purpose. The strategic goal of science, technology, engineering, and mathematics (STEM) literacy is to develop scientifically and technologically equipped global citizens who are innovators and problem-solvers in a rapidly changing world. The study contributes to this goal by drawing pedagogical implications from examining college…

Engaging in the construction and interpretation of graphs is a complex process involving concerted activation of context-specific cognitive resources. As students engage in this process, they apply fine-grained, intuitive ideas to graphical patterns: graphical forms. Using data involving pairs of students constructing and interpreting graphs, we…

This study investigates when and how university students in first-semester introductory calculus interpret multiple representations of the same function. Specifically, it focuses on three tasks. The first task has students give their definitions of 'function sameness', the results of which suggests that many students understand a function as being…

Cognitive learning strategies are seen as a central element for successful learning. Acquiring knowledge about its worth, can support persons in sophisticated groups in attaining academic success. Consequently, the authors are interested in domain-specific learning strategies for mathematics in the academic disciplines of economics and engineering…

This study explores the effectiveness of different problem-posing approaches in improving learning outcomes and problem-posing abilities among prospective mathematics teachers. This study employed a pre- and post-tests control group experimental design. The experimental group engaged in online and direct problem-posing, the comparison group used…

The solution and verification of single-digit multiplication problems vary in speed and accuracy. The current study examines whether the number of different digits in a problem accounts for this variance. In Experiment 1, 41 participants solved all 2-9 multiplication problems. In Experiment 2, 43 participants verified these problems. In Experiment…

Although augmented reality has become one of the most commonly used materials that support learning, especially in learning geometric concepts, it is avoided to be used in the lessons due to its complex structure. At that point, artificial intelligence working as a personal assistant in many fields can help us learn to produce our own model with…

This paper reports on our study of the effectiveness of the course instruction in the numeracy course 'Numbers for Life', offered at McMaster University, Canada, and taught by one of the co-authors. In this course students explore the ways to reason with numbers in a variety of contexts important not only for their individual lives and their…

This qualitative study examines the information collected about applicants to mathematics or science teacher preparation programs (MSTPPs) and how university faculty perceive and value this information in admissions decisions. Based on document review and interviews with MSTPP faculty and admissions directors, we found that broad measures of…

This paper reports on a two-part investigation into how students think about and use summation (sigma) notation. During an instructional design experiment, two participating students struggled with this notation, but also reasoned about it in creative ways. This motivated a follow-up study in which we administered a free-response three-item survey…

This article describes an exercise for a physical laboratory experiment designed to enable physical geography students to practice transferable quantitative skills through inquiry-based learning. The exercise is a deliberately simplified physical model of storm-driven coastal overwash typical of low-lying coastal barrier systems. The experiment…

The transition from school-level mathematics to the more abstract and formal structures in universities poses challenges for many first-year physics students. To address this gap, most physics faculties offer a mathematics pre-course. Here, we report about a pre-posttest study investigating the impact of a pre-course on N = 56 first-year physics…

The aim of this study is to examine the correlation between reading culture and the mathematical literacy self-efficacy among pre-service teachers and assesses these variables in relation to several factors. Utilizing convenience sampling, the research sample consists of 562 pre-service teachers studying in mathematics and primary school teaching…