Design research in mathematics education : the case of an ict-rich learning arrangement for the concept of function

The concept of function is a central but difficult topic in secondary school mathematics curricula, which encompasses a transition from an operational to a structural view. The question in this paper is how to design and evaluate a technology-rich learning arrangement that may foster this transition. With domain-specific pedagogical knowledge on the learning of function as a starting point, and the notions of emergent modeling and instrumentation as design heuristics, such a learning arrangement was designed for grade 8 students and field tested. The results suggest that these design heuristics provide fruitful guidelines for the design of both a hypothetical learning trajectory and concrete tasks, and can be generalized to other design processes

Investigating students’ learning trajectory: a case on triangle

Learning trajectory becomes the main issues in mathematics education research. However, there have been limited studies of students’ learning trajectory for triangle construction. Therefore, this design research was conducted to investigate students’ learning trajectory for the topic of the triangle. The study involved 22 students from 7th grade in Malang, Indonesia. Data were collected through a videotaped, a student’s worksheet, and a classroom observation. The results showed that students discovered the requirement of forming a triangle given three side lengths. In this condition, the starting point of students’ learning trajectory was the drawing of a line segment from the given three side lengths. Students examined two side lengths whether these side lengths can be joined to the line segment as a triangle or not. Students used rulers for determining those three side lengths that could form a triangle. They made a statement that the sum of any two sides of a triangle must be greater than the third side. Furthermore, teachers should consider students’ learning trajectory for achieving successfully the learning goal

Connie Myers v. Albertsons, Inc. : Brief of Appellee

Appeal of the Judgment of Michael Glasmann Based upon a Jury Verdict Second Judicial District Court Weber County, State of Uta

Towards a knowledge-rich learning environment in preparatory secondary education

In this case study a novel educational programme for students in preparatory vocational education was studied. The research questions were: (1) Which teaching/learning processes occur in a simulated workplace using the concept of a knowledge-rich workplace? (2) What is the role of models and modelling in the teaching/learning processes? The curriculum project consisted of design and construction tasks. The students were collaboratively involved in the process of designing a tricycle for a real customer. This real-life activity creates opportunities for students to develop and use models, which can be used in more than in one context. The case study explored how the teachers deal with the students' explicit and implicit need for knowledge and skills. The main findings are that teachers more often provide this knowledge, rather than guide the students in reconstructing it, and towards the end of the project, knowledge tended to remain situated

Reflexões sobre Relações entre Currículo, Avaliação e Formação de Professores na Área de Educação Matemática

ResumoNo presente texto, o objetivo é trazer algumas reflexões voltadas para a articulação das pesquisas sobre currículo, avaliação e formação de professores na área de Educação Matemática, particularmente voltadas para o modo como se articulam os projetos/ações que constituem políticas públicas no Brasil, considerando-se essa tríade. Essas reflexões baseiam-se em experiências vivenciadas em nosso grupo de pesquisa e em projetos/ações governamentais de reorganização curricular e formação de professores. Destacamos a necessidade de desenvolver de forma articulada pesquisas sobre currículo, avaliação e formação de professores e que seus resultados sejam mais bem divulgados, com vistas a contribuir efetivamente na formulação de políticas públicas. Ainda no âmbito de projetos/ações que constituem políticas públicas no Brasil, observa-se que as propostas de discussão curricular, de avaliação e de formação de professores conversam pouco entre si e são implementadas como se fossem autossuficientes, com desarticulação visível

Considerations for the development of Computer-assisted Language Learning (CALL) teacher training course: a practical experience from a CALL course development in Indonesia

The need for technology training for teachers will keep on growing in line with the development of technology itself. Although technology nowadays is more and more user friendly and may need no specific training on how to use it, teachers need to possess the knowledge that underpins the idea of using it for teaching and learning process. Teachers need to have solid pedagogical knowledge on how to use the technology to deliver contents to their students. Therefore, a technology-training course for teachers is always necessary. This paper presents the partial results of a design based study/research (DBR) on the development of online technology training for teachers with focus on CALL in Indonesia. Questions regarding factors affecting online CALL course and ways to improve the course in terms of training materials, activities, as well as the administration of the training are addressed in the study. Based on the study, some considerations on how to design such technology-training course are proposed. The considerations are ranging from aspects associated with technology competence for teacher standards, constructivism in online learning, adult learning theory, online instructional models, the technology, pedagogy and content knowledge (TPACK) framework and open educational resources (OER). Information regarding those aspects will be useful to assist other CALL teacher training course developers later to inform their decision in the development of the course which is based on a good theoretical understanding as well as highly practical in learning activitie