This article presents a partial excerpt from an ongoing master's research on the methodological theoretical aspects of problems related to the content of volumes, selected from the evaluations of the National High School Exam (ENEM). The Exam consists of a test proposed by the Brazilian federal government, which aims to assess the performance of…

The Professional Didactics (PD) and Didactics of Sciences (DC) have roots traditionally originated in France. While (PD) is interested in the process of adult learning, occurring in their work places, the (DC) shows greater attention to the field of action of teaching and learning of specific subjects and therefore in the action of the teacher in…

Learning depends on the effective use of basic cognitive processes such as memory and attention, but for optimal learning, learners also need to have awareness of, and control over, these cognitive processes. The literal meaning of metacognition is cognition about cognition or, more informally, thinking about your thinking: a good starting point…

Each year at Bath University the Open University's Centre for Mathematics Education runs a one-week summer school for Key Stage 3 teachers as well as those aspiring to become teachers. For many of the participants, the course is a case of dipping their toe in the water towards a longer-term goal of taking an Advanced Diploma (or perhaps a masters)…

In the summer of 2009, a professional development partnership was established between the Peoria Public School District (PPSD), a local education agency (LEA), and Illinois State University (ISU) to improve geometric and trigonometric knowledge and skill for high school mathematics teachers as part of the Illinois Mathematics and Science…

This article describes how spatial instruction with preservice teachers can be implemented in a middle-grades mathematics methods class. A "Reflect and Discuss" section is included for professional development study. (Contains 4 figures.)

As well as being important for school mathematics, spatial thinking is a big component of advanced mathematical studies too. As Jones (2001:55) points out, "Much of the thinking that is required in higher mathematics is spatial in nature. Einstein's comments on thinking in images are well known. Numerous mathematicians report using spatial…