This study investigated the processes used by prospective mathematics teachers as they examined middle-school students' work solving statistical problems using a computer software program. Ways in which the model may be used by other researchers and implications for the design of pedagogical tasks for prospective teachers are discussed. (Contains…

This article explains the didactical design of M@th Desktop (MD), a teaching and learning software application for high schools and universities. The use of two types of MD resources is illustrated: notebooks and palettes, focusing on the topic of exponential functions. The handling of MD in a blended learning approach and the impact on the…

Teachers in primary education experience difficulties in teaching word problem solving in their mathematics classes. However, during controlled experiments with a metacognitive computer programme, students' problem-solving skills improved. Also without the supervision of researchers, metacognitive computer programmes can be beneficial in a natural…

Mexican authorities and universities are actively working to improve mathematics teaching and learning across the education system. Thus, efforts are underway to raise the historically low performance in mathematics, which include theoretically grounded pedagogy and curriculum development to raise mathematical knowledge in teacher education…

We describe the use of browsing and searching (in libraries, online, inside sources, at meetings, in abstracts, etc.) as a way to stimulate the teacher of undergraduate mathematics, specifically in differential equations. The approach works in all other areas of mathematics. Browsing can help build new and refreshing teaching materials based on…

When working with e-teaching materials we often find that the authors of resources, meant for the use of teachers in the teaching process, do not use the opportunities offered by the new technologies. All too often the materials are a monolithic block (or at least their main part is), constructed the way an ordinary book or workbook would be. This…

This paper is a descriptive and preliminary report on recent efforts to address two questions: 1) Can school mathematics be used to enhance our students' ability to understand their changing world? and 2) What role might computer technology play in this regard? After recounting some of the mathematical tools that led to a better understanding of…

New technologies continue to change every aspect of home, life and work: the way people communicate, calculate, analyse, shop, make presentations and socialise. "The Australian Curriculum" acknowledges the importance of teaching and learning with technology by including the use of information and communication technology (ICT) as one of…

Implementation of emerging technology in sub disciplines of mathematics education provides a potential for educators to elaborate the capacity of digitized learning for human being. Spatial thinking is considered as a factor of scientific deduction from a multi disciplinary point of view. This paper reports a study aimed at exploring the effect of…

The purpose of this study was to examine pictorial representations, whether in static or dynamic modalities, and their impact on student learning in a classroom with low-achieving students. The investigation emerged from a classroom teacher's action research project. During a three-week fraction unit, nineteen third-grade low-achieving students…

In this article, the CLICK ("C"omputer Games and "L"iteracy "I"ntegrated with "C"ontent "K"nowledge) design model for high school education is proposed and developed as an instructional response to concerns about content coverage versus deeper content knowledge, learners' inability to grasp the meanings embedded in complex text, and disregard for…

This paper discusses student difficulties in grasping concepts from Linear Algebra--in particular, the connection of eigenvalues and eigenvectors to other important topics in linear algebra. Based on our prior observations from student interviews, we propose technology-enhanced instructional approaches that might positively impact student…

This article is a project that takes students through the process of forming a mathematical model of bicycle dynamics. Beginning with basic ideas from Newtonian mechanics (forces and torques), students use techniques from calculus and differential equations to develop the equations of rotational motion for a bicycle-rider system as it tips from…

A perennial problem in computer-aided assessment is that "a right answer", pedagogically speaking, is not the same thing as "a mathematically correct expression", as verified by a computer algebra system, or indeed other techniques such as random evaluation. Paper I in this series considered the difference in cases where there was "the right…

Mathematics education designers and researchers are beginning to appreciate the pedagogical potential of embodied interaction (EI) instructional activities, yet little theory is available to understand its historical roots, sociocognitive mechanisms, and implementation practice. We draw on empirical data (n = 22) from a Grades 4-6 EI…