Low achievement in mathematics education has been an increasing problem in the recent years in some countries. According to a 2010 study from the U.S. Department of Education, blended learning classes produce statistically better results than their face-to-face. There is also an increasing number of students using smartphones and tablets in…

Attributes of teaching and learning contexts provide rich information about how students participate in learning activities. By tracking and analyzing snapshots of these attributes captured continuously throughout the duration of the learning activities, teachers can identify individual students who need special attention and apply different…

In this paper, we report on primary-school students' views of their learning experiences when they engaged with mathematical phenomena through apps. The students commented on how they used a range of digital tools within the apps to solve problems, and we consider how the affordances of the mobile technologies, including multi-representation,…

Computer-based problem-solving examinations in immunology generate graphic representations of students' search paths, allowing evaluation of how organized and focused their knowledge is, how well their organization relates to critical concepts in immunology, where major misconceptions exist, and whether proper knowledge links exist between content…

Arguments for and against the use of computers in mathematics classes have centered on whether students benefit from or are merely hindered by practicing computational skills. This paper claims that the true essence of mathematics lies not in computation, basically a mechanical operation, but in problem-solving. Since no amount of computational…

Briefly described is a numerical calculus course which provides (1) experience and practice in programing and the use of the computer in problem solving, (2) intermediate and/or advanced techniques in FORTRAN IV programing, (3) elementary error analysis, (4) programing efficiency, and (5) documentation of programs. The course, designed to fulfill…

This paper, which addresses the issue of representation as an internal construct corresponding to an external abstract configuration, attempts to extend A. A. DiSessa's phenomenological primitives to mathematics (particularly to the notion of circle). Various acceptations of the word representation are examined, using the notion of a circle as an…

The purpose of the study was to survey self-regulation while responding to the addition facts. First graders' performance on microcomputer practice exercises was observed and recorded. Subjects could choose an analytic mode of operation using a symbolic or a finger strategy; or, they could choose a geometric mode of operation using a pictorial or…

The extension of computer based communication to the more task-focused communication required by groups involved in joint problem solving is discussed in this paper. Specifically, it addresses three areas: (1) the aspects of the joint problem solving that are most suited to computer based communication support, (2) the computer based communication…

Problem-solving skills are higher level cognitive processes which involve the invention of complex organizational schemes to resolve conflicts or confusion. These skills cannot be acquired by mastering a hierarchy of prerequisite skills; rather, their mastery is best facilitated by placing the student in an environment which forces him to apply…

Motivated by the brain, neural networks are a right-brained approach to artificial intelligence that is used to recognize patterns based on previous training. In practice, one would not program an expert system to recognize a pattern and one would not train a neural network to make decisions from rules; but one could combine the best features of…

This paper presents an analysis of two cases developed by students in a course co-taught at the University of St. Thomas (Minneapolis, Minnesota) concerning how technology decisions get made and implemented. The aim is to demonstrate how leadership students can become adept at ferreting out and diminishing the biggest problems encountered in…

An application of Interpretive Structural Modeling (ISM), a computer-aided method used to assist groups in studying and analyzing complex problems, was used to develop a hierarchy of various components taught in the Teacher and Practicum Elementary (TAPE) program, a 24-semester hour undergraduate teacher training option. The ISM process breaks…

An educational methodology for the development of interdisciplinary, problem-solving skills was developed. Called the problem laboratory, the approach focuses on linking the student with the real problems of real organizations through specifically designed data bases. Students are presented with a brief problem statement and proceed to solve the…

Prewriting programs using computers fall into two broad categories: interactive and noninteractive. An early example of a noninteractive program is that of Ellen Nold, called "Cinnamon." Its purpose was to present the student with a series of content questions. In answering such questions, the student would be accumulating a set of data…