Teaching mathematics through multiple representation frameworks presents an open-ended
but complex learning structure. This article elaborates on teaching mathematics for …

This book intends to open up a discussion on fundamental ideas in didactics of mathematics
as a scientific discipline. We want to introduce fundamental ideas as a possible answer to …

The term" fragmentation" is adopted from the term of data storage which is used inefficiently
in a computer. The analogy of fragmentation in thinking process is inefficient phenomenon of …

The theory of embodied cognition proposes that the source of many ideas, including
mathematical ones, lies in the common physical experience of human beings. Through …

This paper reports the multimodal resources that attached to students' reasoning in the
reinvention of specific geometric linear transformations (like reflections according to the …

Mathematical representation skill is one of the goals in mathematical instruction especially in
high school as well as college. Multiple representation skill is the ability to present a …

General problem-solving skills are of central importance in school mathematics
achievement. Word problems play an important role not just in mathematical education, but …

Abstract Representation plays an important role in solving mathematical problems, but not a
few students who create difficulties in shaping it. Therefore, this study aims to reveal the …

This study has the objectives, namely first, to find out whether students' mathematical
problem-solving abilities can be improved by using external representations. Second …

Mathematical symbols in arithmetic, algebra, calculus particularly suit the biological brain,
acting as pivots between concepts for thinking about mathematics and processes to …