Randomness and distribution are important concepts underpinning the ability to think and reason probabilistically. Traditional approaches to teaching the Poisson distribution focus on mathematical definitions and formulae which obscure the randomness intrinsic in this process. Advances in technology have made it possible for students learning…

Quantum mechanics has completed century since its genesis. Quantum mechanics is taught at various levels-starting from school and colleges to universities. Regression methods are introduced at under graduate and post graduate levels to solve Schrodinger equation for finding solutions of various trivial and non-trivial physical problems. The common…

Computational techniques have great potential to improve the teaching-learning. In this work, we used a computational strategy to visualize three-dimensional (3D) structures of proteins and DNA and help the student to comprehend biochemistry concepts such as protein structure and function, substrate, and inhibitors as well as DNA structural…

Designers' internal thought processes can be externally expressed and represented through sketching and other forms of communication. Novice designers often struggle to communicate their ideas. This article reports an analysis of student design processes during conceptual and schematic design development with the intention to inform teaching and…

This study investigated the effect of interactive computer simulation-supported inquiry on South African grade 8 learners' comprehension of atoms and molecular structures. Two sample groups of 34 learners per sample group were used, one acting as a control group who were exposed to a teacher-directed pedagogy while the experimental group used…

A pivotal information about the structure of students' comprehension underlying from which the knowledge is gained can be identified through the mental model. This study aimed at describing the six levels of students' mental model in comprehending the concept of the integer. The subject of this research was 40 students consisting of 20 students…

Mathematic connection is one of the basic abilities someone must have in order to learn mathematic successfully. Mathematic connection helps someone to understand the function of mathematics, improving mathematic concept, determining the correlation among mathematic concepts, and identifying the application of mathematic in the surrounding…

The teaching and learning fractions is one of the most problematic areas in primary school mathematics. A large number of studies have engaged paper-and-pencil test to measure students' instrumental understanding about fractions but few have sought to learn about children's fraction sense. This paper reports a study that investigated fraction…

The purpose of this design based research study was to better understand and build from students' perceptual experiences of visual representations of the greenhouse effect. Twenty undergraduate students were interviewed as they engaged with an online visualization for the learning of the greenhouse effect. We found that, even though all students…

In this study, it was aimed to reveal the ideas of the secondary sixth and eighth grade students about the concept of decimal via mental images. Moreover, within the scope of this study, the differences between the mental images of the sixth and eighth grade students about the concept of decimal number will be investigated according to their class…

The "Yet Another extended Hu¨ckel Molecular Orbital Package" (YAeHMOP) has been merged with the Avogadro open-source molecular editor and visualizer. It is now possible to perform YAeHMOP calculations directly from the Avogadro graphical user interface for materials that are periodic in one, two, or three dimensions, and to visualize…

This paper is intended to investigate the merits of adding manipulative devices and solid model simulations to accompany traditional lecture and demonstration materials to a Dynamics course. Based on the successes of Graphics courses using manipulative devices and simulation software to enhance spatial visualization skills in engineering students,…

There is a growing need for public understanding about groundwater resources. Knowing what groundwater and aquifers are is fundamental to understanding more complex issues such as groundwater quality and availability. However, groundwater and related concepts are among the topics that instructors most struggle to teach. Although constructivist…

The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the third-grade level through visualization, play, and…

In the context of an analytical geometry, this study considers the mathematical understanding and activity of seven students analyzed simultaneously through two knowledge frameworks: (1) the Van Hiele levels (Van Hiele, 1986, 1999) and register and domain knowledge (Hibert, 1988); and (2) three action frameworks: the SOLO taxonomy (Biggs, 1999;…