Solving mathematical (math) word problems (MWP) automatically is a challenging research problem in natural language processing, machine learning, and education (learning) technology domains, which has gained momentum in the recent years. Applications of solving varieties of MWPs can increase the efficacy of teaching-learning systems, such as…

Purpose: The purpose of this paper is to present an algorithm to generate story problems via controlled parameters in the domain of mathematics. The generation process is performed in the problem generation module in the context of an intelligent tutoring system suggested in this paper. Controlling the question parameters allows for adapting the…

The general purpose of the study was to promote the research on effects of physical activity on mathematical performance and brain functions, which is of particular interest regarding children's education as well as for all adults. Several studies have identified an influence of cycling on cognitive processes and brain activity. In the present…

This article analyzes the use of the software Grid Algebra with a mixed ability class of 21 nine-to-ten-year-old students who worked with complex formal notation involving all four arithmetic operations. Unlike many other models to support learning, Grid Algebra has formal notation ever present and allows students to "look through" that…

Introduction. In this study, we focus on the relationship between the students' mathematical thinking and their non-mechanically identified eye-movements with the purpose to gain deeper understanding about the students' reasoning processes and to investigate the feasibility of incorporating eye-movement information in everyday pedagogy. Method.…

This article deals with evaluating an interactive learning environment (ILE) during the iterative-design process. Various aspects of the system must be assessed and a number of evaluation methods are available. In designing the ILE Ambre-add, several techniques were combined to test and refine the system. In particular, we point out the merits of…

The fluency of basic arithmetical operations is a precondition for mathematical problem solving. However, the training of skills plays a minor role in contemporary mathematics instruction. The authors proposed individualization of practice as a means to improve its efficiency, so that the time spent with the training of skills is minimized. As a…

This note describes a method for evaluating the sums of the m -th powers of n consecutive terms of a general arithmetic sequence: { S[subscript m] = 0, 1, 2,...}. The method is based on the use of a differential operator that is repeatedly applied to a generating function. A known linear recurrence is then obtained and the m-th sum, S[subscript…

Investigated elementary school students' responses to two user-computer interfaces while the students solved basic arithmetic problems. Interfaces involved users' direct manipulation of images or interpretation of symbols. Data indicated that students were more comfortable and solved problems more quickly when manipulating images than when…

Calculators can be used in primary schools in a number of situations. They are most beneficial when working with large numbers, dealing with real data that leads to complex calculations, performing repetitive calculations, developing concepts, estimating and checking, problem solving, and looking for patterns and/or relationships. But what if the…

Computer operations involving complex numbers, essential in such applications as Fourier transforms or image processing, are normally performed in a "divide-and-conquer" approach dealing separately with real and imaginary parts. A number of proposals have treated complex numbers as a single unit but all have foundered on the problem of the…

Discusses two approaches to solving word problems that consider the verbal text of the problem, and analyze it to obtain its mathematical expression, as well as its numerical solution. Uses two computerized programs for word problems to capture the various strategies employed by the problem solvers. Contains 21 references. (Author/ASK)

Young children are interested in and capable of building a mathematics foundation at a very early age. Computer software allows children easy access to math. This software consists of seven activities for ages two to five years. These seven activities emphasize numbers, counting, addition, subtraction, patterns, problem solving, size, and…

Zoo Zillions contains five activities for grades K-2: Annie's Jungle Trail, 3D Gallery, Number Line Express, Gnu Ewe Boutique, and Fish Stories. These activities enable children to review and practice basic mathematics skills; identify three-dimensional shapes, watch them in motion, and create their own three-dimensional designs; locate numbers…

This book is organized in three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available…