Linear algebra with its rich theoretical nature is a first step towards advanced mathematical thinking for many undergraduate students. In this paper, we consider the teaching approach of an experienced mathematician as he attempts to engage his students with the key ideas embedded in a second-year course in linear algebra. We describe his…

A learning center in the southeastern part of the United States used the Singapore mathematics curriculum (SMC) to support student learning of a wide range of mathematics skills. However, a study had yet to be conducted to gain an understanding about the administration and implementation of the program. This case study was conceptually based on…

This paper proposes an extension to mobile augmented reality (MAR) environments--the addition of data charts to the more usual text, image and video components. To this purpose, we have designed a client-server architecture including the main necessary modules and services to provide an Information Visualization MAR experience. The server side…

The study of chemistry requires the understanding and use of spatial relationships, which can be challenging for many students. Prior research has shown that there is a need to develop students' spatial reasoning skills. To that end, this study implemented guided activities designed to strengthen students' spatial skills, with the aim of improving…

We examine how rectangular array model can support students' spatial structuring in learning multiplication. To begin, we define what we mean by spatial structuring as the mental operation of constructing an organization or form for an object or set of objects. For that reason, the eggs problem was chosen as the starting point in which the…

Professors who teach the introductory accounting course should ask themselves: "What are the core concepts that I wish to have my non-majors remember if I meet them at their ten-year alumni class reunion?" There is a fundamental logic to financial accounting. This teaching note presents foundational accounting concepts in a manner that…

The greatest difficulty that is encountered by students in thermodynamics classes is to find relationships between variables and to solve a total differential equation that relates one thermodynamic state variable to two mutually independent state variables. Rules of differentiation, including the total differential and the cyclic rule, are…

The civil rights and other social justice movements, neighborhood watches, local garden cooperatives, and so forth are examples of a grassroots context that is largely understudied in CSCW. In recent history, movements to fight child sex trafficking, end hunger in New York City, advocate for financial reform, or even overthrow governments have…

Dealing with uncertainty is a critical part of human decision-making and confidence reflects one's belief about the relative likelihood that various outcomes occur when making decision under uncertainty. Unfortunately, confidence often deviates from the actual quality of the decision, leading to under- or over-confidence. Calibration, the…

Teachers' perception filter operates in all realms of their consciousness. It plays an important part in what and how students learn and should play a central role in what and how they teach. This may be obvious, but having a visual model of a perception filter can guide the way they think about education. In this article, the author talks about…

Instructors are always looking for new ways to engage students in reading assignments. The authors present a few techniques that rely on a web-based data visualization tool called Wordle (wordle.net). Wordle creates word frequency representations called word clouds. The larger a word appears within a cloud, the more frequently it occurs within a…

This study examines the effectiveness of five spelling strategies used to teach junior secondary school students with dyslexia. Participants were 30 secondary school teachers in Hong Kong. The teachers commented on five spelling strategies: the phonological strategy, an integration of phonological and orthographical strategies, the rule-based…

The purpose of the current study was to examine if preservice teachers' (PSTs) mathematics anxiety decreased and if their beliefs and stereotypes changed after they completed their early childhood mathematics methods course. It was hypothesized that by using and modeling concrete materials or manipulatives (Thompson, 1992; Vinson, 2001) and…

Gifted students with spatial strengths have areas of remarkable talent but are often overlooked, underidentified, and underserved in American schools. Their preference for learning through imagistic reasoning conflicts with traditional verbal instructional techniques typically used in schools. To better serve these students who have the potential…

Five experiments demonstrate that when dots appear beside a briefly presented target object, and persist on view longer than the target, the flanked object is perceptually altered by the dots. Three methods are used to explore this "object trimming effect". Experiments 1-3 assess participants' conscious reports of trimmed digits, Experiment 4 uses…