The use of computer simulations in the teaching of introductory statistics can help undergraduate students understand difficult or abstract statistics concepts. The free software environment R is a good candidate for computer simulations since it allows users to add additional functionality by defining new functions. In this paper, we illustrate…

Integrating the disciplines of mathematics and science is one way to place the calculations of volume and surface area into a real life context. The authors present an activity for middle-school students that aims to promote their learning of these key concepts in a personally meaningful way, whilst also developing inquiry and problem solving…

This article reflects critically on the guidance offered to South African teachers in two canonical texts: the Curriculum and Assessment Policy Statements (CAPS) and Mathematics teaching and learning framework for South Africa: Teaching mathematics for understanding (TMU). I make explicit my philosophical orientation, and how 'teaching mathematics…

This paper is centred around a framework for studying teaching--Mediating Primary Mathematics (MPM)--developed in the context of the teaching of Whole Number Arithmetic (WNA) in South Africa. Findings from the analysis of four WNA lessons are used to illustrate how the application of the MPM framework can measure nuanced differences in the…

The effects of substitution on reaction rates are at the heart of both physical chemistry and organic chemistry. In this paper, we present a computational laboratory module to explore the effects of group substitution and isotopic substitution on reaction rates by using a readily accessible graphical interface, a computational engine, and…

This researcher has been greatly distressed, as fifth graders year after year have disregarded mental math strategies for the standard algorithm. Mathematically proficient students should be flexible, efficient and accurate when solving mental calculations. This researcher set out to find out how fifth graders' mental math practice improved their…

Multimedia programs having a number of elements like Texts, spoken words, sound & music, graphics, animations and still pictures provide different stimuli in their presentations. Art is the field of education that provides a platform for rigorous investigation, representation, expression, and reflection of both scholastic content and the art…

Professional problem-solving practice in physics and engineering relies on mathematical sense making--reasoning that leverages coherence between formal mathematics and conceptual understanding. A key question for physics education is how well current instructional approaches develop students' mathematical sense making. We introduce an assessment…

Computational thinking (CT) has become central to introducing digital artefacts for educational use. However, little is known about implementing CT in the mathematical school curriculum, and many educational staff members have not been introduced to CT in their initial training. Introducing CT in an educational setting calls for interventions that…

A second-grade class visits Saint John's Food Pantry each year and spends the morning learning about the needs of the community. Then students pitch in and help the staff for a few hours. When the children return to school, they create signs advertising a canned food drive, and they place collection boxes at various locations around the school.…

Determination of thermostability of enzymes is of prime importance for their successful industrial applications and, yet, the published data has often been incompletely analyzed to assess the suitability of enzymes. It is possible to determine meaningful thermostability parameters from the routinely acquired data through a straightforward method…

Computational Thinking has been described as an essential skill which everyone should learn and can therefore include in their skill set. Seymour Papert (Papert, 1980) is credited as concretising Computational Thinking in 1980 but Jeanette Wing (Wing, 2006) popularised the term in 2006 and brought it to the international community's attention.…

This study focused on statistical investigation tasks designed by preservice teachers. Participants designed a statistical investigation task as a culminating summative assessment after completing modules on teaching and learning statistics. Our study examined the designed tasks to identify their strengths as well as areas of needed improvement.…

Research Findings: This study evaluated the effects of an early mathematics intervention designed to engage preschool children, their teachers, and their families in an interactive mathematics game. Previous research shows that playing this specific type of linear board game results in increased numerical skills and understanding in young children…

Computational thinking--a set of mental and cognitive tools applied to problem solving--is a fundamental skill that all of us (and not just computer scientists) draw on. Educators have found that computational thinking enhances learning across a range of subjects and reinforces students' abilities in reading, writing, and arithmetic. This book…