We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…

This study is on data-gathering software for special teachers in local education agencies Grades K-14. Increasing pressure for the use of accountability to follow the effectiveness of meeting educational standards has caused schools to reassess methods of using data and the core technologies surrounding its collection. The amount of data…

As a problem-solving approach, design thinking (DT) emphasizes iterative, user-focused designing. While DT is being readily adopted into education, little is known about how educators integrate DT across curricula. To address this question, we collaborated with a tech-ed industry partner and a focus group of experienced educators to assess…

Mobile technologies open up new ways of fostering reflection in teacher education. With the intention of tying reflection closer to the actions in the classroom, facilitating multimedia recordings, providing prompts for reflection and fostering discussions between pre-service teachers, experienced teachers and university mentors, we developed the…

This paper describes a design-based research study in which an online platform for teachers was designed and implemented over 3 years. The study uses a networked learning approach to support teachers in the transition from university into service. It addresses the question of how online communities of teachers can support the development of…