Abstract\ud The central question at stake in this chapter is: What theoretical frames are used in technology-related research in the domain of mathematics education and what do these theoretical perspectives offer? An historical overview of the development of theoretical frameworks that are considered to be relevant to the issue of integrating technological tools into mathematics education is provided. Instrumental approaches and the notion of semiotic mediation are discussed in more detail. A plea is made for the development of integrative theoretical frameworks that allow for the articulation of different theoretical perspectives

We describe and analyze a situation involving symbolic representation and graphical visualization of the solution of a system of two linear differential equations, using a computer algebra system. Symbolic solution and graphical representation complement each other. Graphical representation helps to understand the behavior of the symbolic solution. Together with it, the symbolic solution and its analysis are needed to understand the graphical representation and to overcome the limiting constraints of the CAS. The study described in this paper points out the importance of flexibility in building connections between different mathematical registers, together with the fact that the balance between the usage of symbolic representations and of graphical representations can be very different from one student to the other.

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The development of technology has changed the way people communicate in academic contexts as well as working places, for example from print messages to screened messages, and from face-to-face classroom and office meetings to virtual classes and offices. This has prompted the shift from traditional teaching practices to student-centered in which students are guided by their teachers to develop skills for 21st Century careers through the Project-Based Learning model. However, in Tanzania colleges, the teaching of a Communication Skills Course perpetuates traditional teaching practices, which could reduce the chance for students to participate in global democratic activities. Consequently, the present study aimed at exploring how to enhance the 4 C’s (critical thinking, communication, collaboration, and creativity) among the college students of the Communication Skills Course in Tanzania through the Project-Based Learning model. Qualitative participatory action research with two cycles was adopted. Data from ten students, one teacher, and the curriculum were collected through observation, document analysis, and reflective journals. Data were analyzed thematically. Findings show that current teaching practices for Communication Skills Course in Tanzania colleges hardly enhance the development of the 4 C’s among students. It was also observed that the implementation of PBL resulted in enhancing the 4 C’s among college students in Tanzania colleges. However, large class sizes, poor technological infrastructure, and lack of facilities are among the challenges experienced during the implementation of PBL in enhancing the 4Cs. The study recommends the reformation of current teaching practices, to focus on developing skills needed to cope with students’ real-life contexts, instead of focusing on content knowledge. Also, the study calls for the adoption of PBL in Tanzania colleges in teaching Communication Skills to develop necessary skills for the 21st Century. To cope with any potential challenges, the study suggests that there should be collaborative efforts among education stakeholders.