Purpose The purpose of this paper is to explore three different types of digital environments
for mathematics learning that may support mathematical play and the failure and feedback …

Arguably, the ability to generalize is an essential characteristic of students who succeed in
mathematics and computer science. Teachers should be aware of its presence in their …

Linear pattern is the primary material in learning number patterns in junior high schools, but
there are still many students who fail to generalize the linear pattern. The students' failure in …

In this commentary, we make a case for the explicit inclusion of combinatorial topics in
mathematics curricula, where it is currently essentially absent. We suggest ways in which …

Masih banyak kesalahan yang dilakukan oleh siswa dalam menggeneralisasi pola linier
yang disebabkan fokus pada data numerik. Siswa-siswa yang mengalami kesalahan ini …

Identifying patterns is an important part of mathematical reasoning, but many students
struggle to justify their pattern-based generalizations. Some researchers argue for a de …

In this paper, we present data from two iterative teaching experiments involving students'
constructions of four basic counting problems. The teaching experiments were designed to …

Over the past few decades, Piaget's forms of abstraction have proved productive for
developing explanatory models of student and teacher knowledge, yet the broader …

Generalization is critical to mathematical thought and to learning mathematics. However,
students at all levels struggle to generalize. In this paper, I present a theoretical analysis …

Generalization ability need to be encouraged in learning mathematics, students with
generalization abilities can expand and transfer knowledge to practical knowledge. This …