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

The importance of students being acquainted with algebraic ideas before secondary
education has been revealed in the research literature. It is therefore essential that …

Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing
central roles within teaching and learning in the field of mathematics, particularly in solving …

An important goal in school algebra is to help students notice the covariational nature of
functional relationships, how the values of variables change in relation to each other. This …

Recent years have seen increasing interest in providing students with opportunities for
developing important argumentation skills in the mathematics classroom. Social interactions …

This paper arises from a study of how concepts related to understanding functions develop
for students across the years of secondary/high school, using small samples from two …

Adaptive teaching on the micro level of teacher-student interaction has often been
investigated, but rarely with respect to students' content-specific learning pathways. This …

A foundational component of developing algebraic thinking for meaningful calculus learning
is the idea of “function” that focuses on the relationship between varying quantities. Students …

Note: There are two forms of synthesis, aggregate and configurative. One (aggregate)
amasses the literature summarizing the findings. While the other (configurative) shapes the …

Understanding the concept of area requires an understanding of the relationship between
geometry and multiplication. The multiplicative reasoning required to find the areas of …