In Japan during the 1980s, there was an interesting debate about how to teach the area of a parallelogram effectively to primary school children. Yutaka Saeki criticized the standard method, which relies on a cut-and-paste procedure. He argued that the standard method inevitably failed to convince children because it does not provide any cogent…

An understanding of concepts related to geometric measurement is considered to be critical to the development of individuals' mathematics knowledge. Specifically, the National Mathematics Advisory Panel's 2008 report listed the skills of area and perimeter as foundational for algebra readiness. Yet, this content knowledge continues to be an…

This study aims to examine the roles of tactile materials and origami models in the perception of concept definitions and representations in geometry applications of individuals with visual impairments. This case study draws on data from eight individuals with visual impairments selected according to the purposive sampling method in a mathematics…

This study was an investigation of the use of manipulative materials in the mathematics classroom. The researcher guided students to create paper triangles, which were then used as a manipulative to calculate the sum of the interior angles of a triangle. On pre- and post-measures of quantitative data, although the data indicated a positive…

This study examines the condition on whether or not there is an advantage on integrating manipulatives in the instruction against traditional teaching involving concept building and students' performance in geometry. To well achieve this objective, 48 Grade-9 students from a remote public school and island in the Philippines were invited and were…

Since one of the main goals of teaching geometry is to provide students with the opportunity to develop spatial reasoning, it is important to find the most suitable support for learning 3D geometry in elementary school. This paper compares Information and Communication Technology (ICT) and physical manipulatives support, with the aim to answer if…

Research reveals that many mathematics teachers find it difficult to stimulate learners' interest in learning geometry. One major reason suggested is that geometric concepts are not well conceptualised and comprehended by both learners and teachers. The study explored learners' views on how polygon pieces and dictionary mediate learning of…

Three game examples using L-shaped tri-cubes in alternative arrangements are presented. Each game example challenges you to think who might win, and what alternative playing strategies could be implemented to change the final outcome.

In this study, effects of 2 physical manipulative instructions on students' geometrical knowledge acquisition were compared. Geometry topics' presentation was conducted via using physical manipulative and the practice stage in two different forms: (1) practice consisting of problems supported with explicit metacognitive questions and (2) practice…

Geometric thinking affects success in learning geometry. Geometry is studied from elementary school to university level. Therefore, in higher education and basic education, it is necessary to carry out a systematic review in order to obtain tips for improving geometric thinking skills. A systematic review of geometric thinking was done in this…

Students' attitudes and motivations toward mathematics decrease as they intensively confront cognitive information along the process of mathematics teaching in general. One of the most important reasons for this is the lack of activities for affective and psychomotor domains in the mathematics teaching process. One way to overcome this problem is…

This article presents some paper-folding activities for students to explore a different way to prove some of the angle properties in a circle.

The effect of using Geoboards in teaching Euclidean geometry in Grade 11 mathematics learners is described. A qualitative research design was adopted in the study. This design was preferred as it provides the conceptual understanding of the teaching methods of the teachers. The participants were taught Euclidean Geometry with the use of Geoboard…

Perceptually rich concrete manipulatives benefit mathematics learning. Because students should be challenged to consider connections between two-dimensional (2D) and three-dimensional (3D) perspectives of conics (NCTM 2000), this article describes hands-on teaching techniques that promote this type of student reasoning. This article aims to (1)…

In this paper, we present opportunities with the uses of origami and technology, in our case GeoGebra, in teaching formal geometric definitions for fifth-grade primary school students (11-12yrs). Applying origami in mathematical lessons is becoming to be recognized as a valuable tool for improving students' mathematical knowledge. In previous…