Stimulating pre-service teachers’ content and pedagogical content knowledge on rational numbers

This study explored the perspectives of mathematics teacher educator-researchers (MTE-Rs) on the use of theory in facilitating teacher growth. We adopted the framework of the theory-centered scholarship triangle (Silver & Herbst, 2007) to probe the underlying meanings of perspectives on theory use expressed by MTE-Rs. Qualitative analysis revealed three distinct types of perspectives: a perspective focusing on research, a perspective focusing on practice, and a perspective on the connection between research and practice. For the perspective on the connection between research and practice, two sub-categories were identified: connection with consideration of context and that without consideration of context. Different perspectives that MTE-Rs possess may influence their actions taken in professional development and consequently influence teachers’ learning of theory. Specifically, the cyclic process of decontextualizing and recontextualizing theory between research and practice domains is the key to the development of MTE-Rs’ educative power so that they can better facilitate teachers in learning theory.     

ICT use in the teaching of mathematics: Implications for professional development of pre-service teachers in Ghana

Included in the contemporary mathematics curricula in Ghana is the expectation that mathematics teachers will integrate technology in their teaching. However, importance has not been placed on preparing teachers to use ICT in their instruction. This paper reports on a study conducted to explore the feasibility of ICT use in mathematics teaching at senior high school levels in Ghana. Interviews and survey data were used for data collection. Preliminary results showed that mathematics teachers in Ghana do not integrate ICT in their mathematics instruction. Among the major perceived barriers identified were: Lack of knowledge about ways to integrate ICT in lesson and Lack of training opportunities for ICT integration knowledge acquisition. To overcome some of these barriers, opportunities of a professional development arrangement for pre-service mathematics teachers were explored. Findings from the study revealed specific features of a professional development scenario that matters for ICT integration in mathematics teaching in the context of Ghana.     

Supporting Teachers Learning Through the Collaborative Design of Technology-Enhanced Science Lessons

This study used the Interconnected Model of Professional Growth (Clarke & Hollingsworth in Teaching and Teacher Education, 18, 947–967, 2002) to unravel how science teachers’ technology integration knowledge and skills developed in a professional development arrangement. The professional development arrangement used Technological Pedagogical Content Knowledge as a conceptual framework and included collaborative design of technology-enhanced science lessons, implementation of the lessons and reflection on outcomes. Support to facilitate the process was offered in the form of collaboration guidelines, online learning materials, exemplary lessons and the availability of an expert. Twenty teachers participated in the intervention. Pre- and post-intervention results showed improvements in teachers’ perceived and demonstrated knowledge and skills in integrating technology in science teaching. Collaboration guidelines helped the teams to understand the design process, while exemplary materials provided a picture of the product they had to design. The availability of relevant online materials simplified the design process. The expert was important in providing technological and pedagogical support during design and implementation, and reflected with teachers on how to cope with problems met during implementation.     

Teacher involvement in curriculum design: need for support to enhance teachers’ design expertise

Teacher involvement in curriculum design has a long tradition. However, although it fosters implementation of curriculum reforms, teachers encounter various problems while designing related to conditions set for the design process, and lack the knowledge and skills needed to enact collaborative design processes. Providing support to enhance teachers’ design expertise is essential, since most teachers are novice designers. However, little is known about the nature of the support offered to improve teachers’ design expertise. In this explorative study, six teachers and six facilitators offering support reflected on an enacted design process, the problems they experienced and the support offered. The findings indicate three gaps in teachers’ design expertise related to three domains (1) curriculum design expertise, (2) pedagogical content knowledge and (3) curricular consistency expertise. The outcomes of this study illustrate the importance of supporting teacher designers during the design process and enhancing teachers’ design expertise. By offering (tailored) support to teachers, the enacted design process and the quality of the design materials are expected to improve.     

Efficiency and flexibility of indirect addition in the domain of multi-digit subtraction

This article discusses the characteristics of the indirect addition strategy (IA) in the domain of multi-digit subtraction. In two studies, adults' use of IA on three-digit subtractions with a small, medium, or large difference between the integers was analysed using the choice/no-choice method. Results from both studies indicate that adults spontaneously apply IA on three-digit subtractions, and use IA with the same frequency as direct subtraction (DS) strategies. Furthermore, IA resulted in faster responses – without any loss in accuracy – than DS. Finally, adults flexibly applied IA and DS strategies on the basis of task and individual strategy performance characteristics. Our results support theoretical models on adaptive strategy choices, and question instructional practices focusing on the routine mastery of only DS.     

Designing research to inform sustainability and scalability of digital technology innovations

Educational technology research and development - Considerably more research needs to be done to understand how successful technological innovations and change processes are sustained and scaled to...     

TPACK in teacher education: are we preparing teachers to use technology for early literacy?

This study examines if and how five teacher education institutes are helping students to develop the technological pedagogical content knowledge needed to effectively use technology for early literacy. Focus group discussions were held with teacher educators in which their responses to expert recommendations were probed. Findings indicate that, currently, very little attention is specifically given to the knowledge that teachers need to foster early literacy through the use of technology. This is due to multiple factors, including the conviction that many new technologies (e.g. tablets) are not used much in schools. Additionally, teacher educators themselves struggle with effective use of technology in their own courses. And although technological and early literacy specialists are available in teacher training colleges, pre-service educators note a distinct lack of integrated expertise in their institutions. Based on these findings, recommendations are given for research, policy and practice.     

Foreign Students in Engineering Education

Institutions for higher engineering education encourage the admission of foreign students, mostly for economic reasons. Data from the situation of foreign students at Delft University of Technology, however, show that admitting foreign students will be profitable only if the students are carefully selected in the country of origin. Furthermore, language proficiency must play an important role in the procedure of admission in the host country. Foreign students' academic achievement has proven to be sufficient although the students appear to suffer from starting problems. Offering social and educational support at the beginning of their stay abroad may help to overcome problems of adjustment. As yet, any possible positive effects of the presence of foreign students on the quality of education or on the general education of regular students in the host country have not been empirically established. They seem to depend highly upon the amount of interaction between foreign and regular students.     

Complex problem solving in L1 education: Senior high school students' knowledge of the language problem-solving process

The solving of reasoning problems in first language (L1) education can produce an understanding of language, and student autonomy in language problem solving, both of which are contemporary goals in senior high school education. The purpose of this study was to obtain a better understanding of senior high school students' knowledge of the language problem-solving process. Fifty-three 11th-grade high school students solved standard, comprehension, and linguistic reasoning problems. Before solving the problems, the participants had filled in open-ended questions inquiring about their knowledge regarding the effectiveness of a chosen problem-solving strategy. Content analysis of the responses indicated four categories and nine subcategories. The implications of the relatively few responses in the category of explicit knowledge of the language problem-solving process are discussed in the light of the changing needs of L1 students.