The fact that the mathematics course is abstract, that it is not possible to associate it with daily life, and that it is impossible to concretize abstract expressions causes a prejudice against the this course and leads to a decrease in the academic achievements of students. It is seen that throughout history, various studies have been carried…

This study is an attempt to design and develop as well as validate sets of Online Instructional Materials in Mathematics VI at selected elementary schools in DCS, Manila, specifically, focused on the study of Geometry and Measurement. Using both documentary analysis and descriptive method of study, two (2) major groups of respondents were chosen…

For Freudenthal, the practice of mathematics in the curriculum is not a set of predetermined theories, goals and means. On the contrary, it is always associated with positively understood phenomenological processes in mathematics, as the curriculum is often used in conjunction with the transformation or development of practice. For Freudenthal…

Ethnomatemics-based mathematics concept implementation can be carried out through constructivism-based learning such as realistic mathematics, problem-based and learning with a scientific approach. This research purpose to explore the form of ethnomatemics on the woven cabbage leaves of the Tutuwaru community and analyze the process of…

Geometry is one of the branches of mathematics that we use in many areas of our daily life, perhaps without noticing. For this reason, individuals are geometric thinkers not only in geometry classes; but also in different areas of life. In that case, it is necessary for the individual to acquire geometric habits of mind. The purpose of this study…

The objective of this paper is to present two preservice secondary mathematics teachers' beliefs about teaching Geometric Transformations (GTs) using Geometer?s Sketchpad (GSP). The study comprised of series of five task-based interviews with each of two participants, who were senior undergraduate preservice teachers, at a medium-sized public…

In this study, eight-grade students' estimation achievements in triangles were analysed according to motivation types and knowledge type expectations. Three hundred and thirty-seven students from three different elementary schools attended in this study. In order to determine the students' estimation performances, an estimation test in triangles…

In order to address concerns with the underrepresentation of spatial thinking in K-12 curricula, (National Research Council, 2006), Valentine and Kopcha (in press) designed and implemented a learning environment integrating cases as alternative perspective (Jonassen, 2011) in the context of eighth-grade mathematics. The design aimed to provide…

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

A series of observations in math classrooms revealed a pervasive problem of "re-teaching". It matters little the subject; before the teacher can begin teaching new material, basic skills often have to be re-taught before the lesson can move forward. Perhaps some methods are more effective than others in the classroom. Consequently, this study…

Three mathematics textbooks of different grade levels, compared with Chinese math textbooks of the same grades, were selected that were used in some of the middle schools in Clark County Schools District (CCSD). Systematical review of the three textbooks were made grade by grade in order to figure out "Are Our Math Textbooks a Mile Wide and…

There are over 400 proofs of the Pythagorean Theorem. Some are visual proofs, others are algebraic. This paper features several proofs of the Pythagorean Theorem in different cultures--Greek, Chinese, Hindu and American. Several interactive websites are introduced to explore ways to prove this beautiful theorem. (Contains 8 figures.)

Students with or without disabilities often experience difficulties with abstract math concepts. This paper is intended to help solve the mystery of math concepts through origami construction, a hands-on activity. Students are involved in constructing and deconstructing concepts by folding and unfolding a piece of paper which eventually leads to a…