The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

The purpose of this document is to provide a historical perspective of the evolution of special education in Iowa through the voices of the people who created the system of support for individuals with disabilities. In addition to the interviews, extensive historical literature reviews were conducted. One hundred and thirty individuals were…

Dialog from a filmed lesson that uses graphing to explain positive and negative numbers is presented. The material highlights the responses of children. The work was also presented to a class of low, mixed-ability pupils since the filming, and the work of two pupils from this group is noted. (MP)

Learner centred design methods highlight the importance of involving the stakeholders of the learning process (learners, teachers, educational researchers) at all stages of the design of educational applications and of refining the design through an iterative prototyping process. These methods have been used successfully when designing systems…

This paper presents an assessment tool which can be used during the first weeks of calculus to measure students' visual thinking skills. We have developed and applied this instrument in classes for the last three years, tabulating results and interviewing students on a regular basis. We discuss our findings and provide hints to using the…

Methods that have been employed in McGill University's (Montreal, Quebec) program of research into the nature of learning are described. The methods illustrate four phases of inquiry: conceptualization or model-building; data gathering techniques; data representation; and data analysis. For the university's learning task project, the development…