The National Association for Gifted Children and The National Council of Teachers of Mathematics both call for problem posing. This article illustrates the strategies used during a series of three Three-Act Tasks to foster second grade students' abilities to problem pose. The students' problem posing improved across the three Three-Act Tasks and…

In this paper, we present the spontaneous and reasoned approaches by a Physicist (B.C.) and a Mathematician (T.B.). Section 1 is by B.C and section 2 is by T.B.

The problem solving performed by students in solving mathematical literacy problems shows that at the developmental stage of proportional reasoning students have different strategies, especially at the developmental stage of functional and scalar relationships. The purpose of this study is to identify and explore the developmental stages of…

This paper presents the findings of a study involving 16 undergraduate students enrolled in a basic financial mathematics course. The study aimed to examine the nature of the students' problem-posing and problem-solving products and processes, as well as the interactions between the two. The findings revealed that the majority of the posed…

Solving word problems is challenging for many children, but particularly for those with language difficulties. The objective was to examine the nature of the challenges experienced by children with language difficulties as they solved word problems in the context of a developmental-trajectory instructional sequence. We recruited 45 third graders…

In this cross-national study, we explore the different ways of reasoning-and-proving (RP) presented in three 8th grade textbooks, one from each country: Turkey, Norway, and Slovakia. While the analysis revealed that all three textbooks contain similar numbers of problems involving some form of RP, differences exist in terms of the dominating ways…

Background/purpose: The application of learning models is expected to significantly promote the enhancement of students' problem-solving abilities through the development of interactive learning models. This study aims to (1) determine whether the Development of the Component Display Theory (CDT) Model is categorized as valid, practical, and…

Mathematical problem-solving places heavy demands on children's developing working memory capacity. This review examines how offloading numerical information using embodied (e.g. finger counting) or external tools (e.g. manipulatives) can reduce cognitive load and improve mathematical task performance. Strategic offloading emerges in childhood;…

Many matchstick puzzles have multiple solutions and are ideal learning tasks for fostering and improving creative thinking. Nevertheless, many puzzle book authors exhibit a strange approach toward these multiple-solution puzzles. For some puzzles, the number of solutions is mentioned after puzzle formulation and these solutions are published in…

This study aims to investigate the thinking process of primary school students when solving mathematical problems. It used a qualitative case study approach. The researcher administered a metacognitive test to 30 fifth-grade students in Yogyakarta and selected three focal participants based on their performance in planning, monitoring, and…

This study aims to investigate how the different solutions, problem-solving strategies, and the number of strategies used by the preservice secondary school mathematics teachers on non-routine mathematical problems change according to grade levels. This study was conducted with 152 preservice teachers studying at the department of elementary…

The purpose of this study was to determine to what extent the completion of a note taking and review intervention impacted developmental mathematics students' performance on course assessments. Note taking is a challenging skill that requires time and effort to improve (Boch & Piolat, 2005). Many developmental mathematics students struggle to…

The purpose of this study was to investigate the frequency with which students use math word problem strategies during and after schema-based instruction. It examines the extent to which students increase their ability to correctly solve word problems. It compares students' attitudes toward mathematics problem solving before and after schema-based…

Active learning in mathematics can lead to deeper understanding than passively listening to a lecture, yet recent studies indicate that didactic teaching dominates online tutorials. This study investigated student participation in three types of activity: solving mathematical problems via polling, on-screen activities on a shared whiteboard and…

This paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of problem-solving processes, the development of metacognitive aspects, and, in general, the development…