Existing literature reviews of calculus learning made an important contribution to our
understanding of the development of mathematics education research in this area …

In beginning this chapter we immediately faced a dilemma. There is nothing that can be
called “the concept of function.” The phrase “concept of function,” regardless of its meaning …

Razones, proporciones y proporcionalidad constituyen un campo ampliamente investigado
en los últimos cincuenta años. Evaluaciones recientes muestran que estos objetos de …

This article reports results from a study investigating the impact of a sustained,
comprehensive early algebra intervention in third grade. Participants included 106 students; …

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

Recent educational research has turned increasing attention to the structural development
of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial …

† Preparation of this chapter was supported by National Science Foundation Grant No. REC-
9811879. All opinions expressed are those of the authors and do not reflect official positions …

In this study, an intuitive model was defined as an internal mental structure corresponding to
a class of calculation strategies. A sample of female students was observed 4 times during …

In inviting me to write this chapter on philosophical issues in mathematics education, the
editor has given me the leeway to present a personal perspective rather than to develop a …

Five studies examined how interacting with the physical environment can support the
development of fraction concepts. Nine‐and 10‐year‐old children worked on fraction …