In this survey paper, we describe the state of the field on linear algebra research. We synthesize themes, questions, results, and perspectives emphasized in the papers that appear in this issue, as well as a selection of those published between 2008 and 2017. We highlight the extensive base of empirical research detailing how students reason…

Many students find understanding confidence intervals difficult, especially because of the amalgamation of concepts such as confidence levels, standard error, point estimates and sample sizes. An R Shiny application was created to assist the learning process of confidence intervals using graphics and data from the US National Basketball…

The article introduces a software application (MATH) supporting an education of Applied Mathematics, with focus on Numerical Mathematics. The MATH is an easy to use tool supporting various numerical methods calculations with graphical user interface and integrated plotting tool for graphical representation written in Qt with extensive use of Qwt…

In its mathematics standards, National Council of Teachers of Mathematics (NCTM) states that problem solving is an integral part of all mathematics learning and exposure to problem solving strategies should be embedded across the curriculum. Furthermore, by high school, students should be able to use, decide and invent a wide range of strategies.…

Interactive learning is beneficial to students in that it allows the continual development and testing of many skills. An interactive approach enables students to improve their technical capabilities, as well as developing both verbal and written communicative ability. Problem solving and communication skills are vital for engineering students; in…

Simon's (1995) development of the construct of hypothetical learning trajectory (HLT) offered a description of key aspects of planning mathematics lessons. An HLT consists of the goal for the students' learning, the mathematical tasks that will be used to promote student learning, and hypotheses about the process of the students' learning.…

The problem of solving mathematical equations can be quite tough for some students hence they face a great difficulty when applying ideas to the actual process. Students in algebra classes are taught coding in which they write down what they will need to do to solve the equation and this coding makes the students more adept at solving equations…

This paper describes three methods that can be utilized in teaching for meaning in mathematics. These three methods are based on learning theories. Although there may not be consensus of what constitutes meaningful learning in the study of mathematics, there are problems with meaningless mathematics that are widely agreed upon by educators.…

Studies whether students' stated preferences for flowcharts or pseudocodes match their actual behaviors. Provides a review of the literature on flowchart utility. Reports that students preferred flowcharts to pseudocodes. Lists an example of both a flowchart and pseudocode. (MVL)

Describes the learning style inventory and learning cycle developed by David Kolb. Discusses the learning cycle's four stages as concrete experience, reflective observation, abstract conceptualization, and active experimentation. Offers an example from a chemical engineering class in which Kolb's ideas are used in an effort to improve instruction.…