Introducing, and thereafter teaching calculus to senior secondary, early college and
university students, at the expense of algebra and geometry, is causing half-baked calculus …

Advanced Mathematical Thinking has played a central role in the development of human
civilization for over two millennia. Yet in all that time the serious study of the nature of …

The article develops the notion of covariational reasoning and proposes a framework for
describing the mental actions involved in applying covariational reasoning when interpreting …

Many authors have provided evidence for what appears to be common knowledge among
mathematics teachers: The limit concept presents major difficulties for most students and …

This paper is part of a series of studies by the Research in Undergraduate Mathematics
Education Community (RUMEC), concerning the nature and development of college …

The concept of function is central to undergraduate mathematics, foundational to modern
mathematics, and essential in related areas of the sciences. A strong understanding of the …

The discrepancy between school and academic mathematics as well as the resulting
problems for secondary mathematics teachers' content knowledge (CK) have been well …

Proof! It is the heart of mathematics as individuals explore, make conjectures, and try to
convince themselves and others about the truth or falsity of their conjecture. In fact, proving …

Neste livro, os autores levantam questões fundamentais para a formação do professor de
Matemática. Que Matemática deve o professor de Matemática estudar? A acadêmica ou …

1. INTRODUCTION. The authors of this paper met at a summer institute sponsored by the
Oregon Collaborative for Excellence in the Preparation of Teachers (OCEPT). Edwards is a …