This study provides empirical evidence of a highly specific use of games in education--the assessment of the learner. Linear regressions were used to examine the predictive and convergent validity of a math game as assessment of mathematical understanding. Results indicate that prior knowledge significantly predicts game performance. Results also…

As an action research project, using mixed methodology, this study investigated how the use of math journals affected second grade students' communication of mathematical thinking. For this study, math journal instruction was provided. The data gathering included pre- and post- math assessment, students' math journals, interviews with the…

This article details the application of an economic theory to the fiscal operation of a small engineering consulting firm. Nobel Prize-winning economist Wassily Leontief developed his general input-output economic theory in the mid-twentieth century to describe the flow of goods and services in the U.S. economy. We use one mathematical model that…

This paper introduces a concept of differentiability for functions in several variables which has a very natural definition and shares all the properties one expects of a notion of differentiability, but is shown to be weaker than the usual concept of differentiability defined as local linearizability. The exact connection between the two…

Algebra teachers find themselves overwhelmed by the sheer volume of information that they have to teach their students. One way to address this issue is to have teachers teach for understanding by focusing on concepts. In this article, I share how language can help uncover the core ideas that define the concept of function and share activities…

This study shows how worksheets can be used to support learning in an informal learning environment. Although there has been some research into the use of worksheets in museum settings in developed countries, it is still not clear whether worksheets enhance or inhibit learning. Using a case study of grade 4-7 learners visiting a biology exhibition…

This article examines 9-11 year olds' attempts to beat the computer at a game of strategy and asks how far and under what circumstances they developed a strategic approach to the game. Extracts from videotape transcripts are analysed to reveal the components of children's particular approaches, evident even amongst children who did not develop an…

In the paper the qualitative research in which the researcher has been directly involved, and has himself been examining the research phenomenon in the studied environment, is presented. The aim of this qualitative study is to gather data in the form of rich content-based descriptions of people, events, and situations by using different,…

The current study was designed to extend the current literature to study scale drift in CAT as part of improving quality control and calibration process for ACCUPLACER, a battery of large-scale adaptive placement tests. The study aims to evaluate item parameter drift using empirical data that span four years from the ACCUPLACER Arithmetic…

Over the past several years, we have been exploring and researching a phenomenon that occurs among undergraduate students that we called extension of linear models to non-linear contexts or overgeneralization of linear models. This phenomenon appears when some students use linear representations in situations that are non-linear. In a first phase,…

This article features a school district in Perth Amboy, New Jersey, that has created a full-day preschool program that helps prepare all children socially and academically for school. For students ages 3 and 4 in Perth Amboy, the two ideas--learning and fun--are one and the same. Through the district's full-day preschool program, teachers…

In this article, the author relates his unhappy experience in learning about prime numbers at secondary school. To introduce primes, a teacher first told students a definition of a prime number, then students were taught how to find prime numbers. Students defined and listed them and at some later point were tested on their memory of both the…

We explore some key constructs and research themes initiated by Jim Kaput, and attempt to illuminate them further with reference to our own research. These "design principles" focus on the evolution of digital representations since the early 1990s, and we attempt to take forward our collective understanding of the cognitive and cultural…

Integrating Information Technology Communications in the classroom has been an important part of pre-service teacher education for over a decade. The advent of virtual worlds provides the pre-service teacher with an opportunity to study teaching and learning in a highly immersive 3D computer-based environment. Virtual worlds also provide a place…

A computer programming class for students of mechanical engineering was redesigned and assessed: Cognitive Load Theory was used to redesign the content; online technologies were used to redesign the delivery. Student learning improved and the dropout rate was reduced. This article reports on both attitudinal and objective assessment: comparing…