Maria Fahlgren

• PhD
• Professor (Associate) at Karlstad University, Karlstad

In recent decades, there has been rapid development in digital technologies for automated assessment. Through enhanced possibilities in terms of algorithms, grading codes, adaptivity, and feedback, they are suitable for formative assessment. There is a need to develop computer-aided assessment (CAA) tasks that target higher-order mathematical skill...

The use of programming in mathematics education is undergoing a renaissance and, in this paper, we analyse students’ handling of programming in mathematics using the Instrumental approach as a theoretical lens. We are especially interested in analysing the development of mental schemes using two analytical frameworks which are compared and contrast...

Based on the patterns of response to an example-generating task, this paper provides suggestions on how the task could be redesigned to enrich students' example spaces in relation to the key ideas addressed by the task. The participants are 236 first-year engineering students.

The paper examines the quality of digitized tasks designed by 10 (small) groups of prospective upper secondary school teachers as part of a geometry course assignment. The results indicate that a small instructional intervention, addressing the planning and implementation of tasks in digitized task environments as well as how to stimulate students...

This paper reports on the planning of a design-based research (DBR) study, where the main aim is to develop principles in designing technology-enhanced learning environments utilizing a combination of a dynamic mathematics software (DMS) and a computer-aided assessment (CAA) system. The focus is on the design of tasks and automated feedback of high...

The Swedish educational system has, so far, accorded little attention to the development of gifted pupils. Moreover, up to date, no Swedish studies have investigated teacher education from the perspective of mathematically gifted pupils. Our study is based on an instructional intervention, aimed to introduce the notion of giftedness in mathematics...

This paper reports a study of teachers' use of Connected classroom technology to prepare for whole-class discussions building on students' computer-based work in mathematics. The study investigates four upper secondary school teachers' management of time and progression during the phase of the lesson where students are working in pairs. The finding...

This chapter sets out a framework for analysing technology-rich assessment systems. The framework comprises several relevant aspects identified in the growing research literature related to digital assessment. In order to test all aspects of the framework, we use it to analyse three distinctive and innovative assessment systems: STEP (Seeing The En...

In the poster, we will present a planned study focusing on the design of DMS tasks and elaborated feedback within a CAA system. The study will be conducted in a first year engineering mathematics course during autumn 2020.

This paper reports a study of four upper secondary school teachers’ use of Connected Classroom Technology to select student responses to computer-based activities, and to use these responses to launch successive stages of a planned whole-class discussion. Although the preparation for the class discussion was quite successful, it was a challenge for...

In this poster, we present an ongoing study about prospective mathematics teachers' conceptions about the relationship between mathematics, problem-solving and GeoGebra. The context of our study is a curriculum reform in Sweden that emphasizes the use of digital tools in mathematics education. In that respect, we will investigate prospective upper-...

This paper relates to an ongoing project using design-based research as a methodol-ogical approach in which students with no prior experiences of using programming as a mathematical tool are observed trying to solve mathematical problems with the help of programming. The Instrumental Approach is used as conceptual framework in which the concept of...

This paper examines the process of instrumental genesis through which students develop their proficiency in making use of movable points and slider bars – two tools that dynamic mathematics software provides for working with variable coordinates and parameters in the field of functions. The paper analyses students’ responses to task sequences desig...

Research points out the importance of following up students' work on computer-based tasks with whole-class discussions in which students play a central role. However, at the same time, research highlights the challenge for teachers in orchestrating such follow-up discussions. This paper examines whether an established model developed as guidance fo...

There is a recognised need in mathematics teaching for new kinds of tasks which exploit the affordances provided by new technology. This paper focuses on the design of prediction tasks to foster student reasoning about exponential functions in a mathematics software environment. It draws on the first iteration of a design based research study condu...

It is recognized that the process in which an artefact becomes an instrument for a user, denoted as instrumental genesis, is a complex process. The aim of this paper is to identify elements of the process of instrumental genesis when students are dealing with scales and scaling issues in a dynamic mathematics software environment. This study involv...

It is recognized that the process in which an artefact becomes an instrument for a user, denoted as instrumental genesis, is a complex process. The aim of this paper is to identify elements of the process of instrumental genesis when students are dealing with scales and scaling issues in a dynamic mathematics software environment. This study involv...

The increasing availability of new technologies in schools provides new possibilities for the integration of technology in mathematics education. However, research has shown that there is a need for new kinds of task that utilize the affordances provided by new technology. Numerous studies have demonstrated that dynamic geometry environments provid...