Simulation games can play a critical role in enabling students to navigate the problem spaces of the past while simultaneously critiquing the models designers offer to represent those problem spaces. There is much to be gained through their use. This includes rich opportunities for students to engage the past as independent historians; to consider…

This article outlines an extension exercise that is based on the elementary geometrical constructions in the National Curriculum. The challenge for students is to organise and execute an extended construction. The hidden, parallel agenda is proof, for the teacher's role is to convince students that they "must" succeed and that doing so is a…

How can water and a penny demonstrate the power of mathematics and molecular theory? Do spelling and punctuation really matter to the human brain? The third of Thomas O'Brien's books designed for 5-12 grade science teachers, "Even More Brain-Powered Science" uses the questions above and 11 other inquiry-oriented discrepant events--experiments or…

This study investigates a project-based learning (PBL) approach to teaching evolution to inform efforts in teacher preparation. Data analysis of a secondary biology educator teaching evolution through a PBL approach illuminated: (1) active student voice, which allowed students to reflect on their positioning on evolution and consider multiple…

The universal design for learning (UDL) approach to teaching, a method to create access for all students, can be extremely effective when adequate time, energy, and creativity are spent to apply it. The purpose of this article is to encourage the use of the universal design for learning approach to ensure the successful inclusion of all students…

Previous studies have shown that teacher cognitions and practices can be inconsistent, particularly with claims about communicative teaching practices. This article describes the practical theory of a state school EFL teacher in Armenia who claimed to be using a communicative approach to language teaching by considering her stated cognitions and…

This book embraces the idea of listening to and learning from students. Although many educational theorists have long argued that incorporating children's perspectives about teaching and curriculum has the potential for increasing students' interest and participation in learning, their radical perspectives are still ignored or dismissed in theory…

Teacher educators need to remain current regarding the challenges that prospective teachers are going to face in their classrooms. One way to maintain this currency is for teacher educators periodically to spend some time in the K-12 classroom testing the theories they teach. This paper will discuss the benefits both teacher educators and…

This article discusses a relatively unnoticed application of mathematics by describing its connection with an aspect of music, in particular, the musical scales. Stemming from a problem found in a Year 9 mathematics textbook commonly used in Singapore, the article illustrates the role of mathematics in musical scales by first considering the…