Although spatial thinking and reasoning is recognised as a key component for promoting STEM discipline, very little research has been done on its promotion in middle years in Australia. How do students perceive three dimensional geometrical objects? Are they able to recognise the objects from different perspectives and explain their reasoning for…

Searching for loci belongs to classical topics of school curricula at schools of different levels all over the world. In the text investigation of loci by GeoGebra using the command "LocusEquation," the tool which has recently been implemented into GeoGebra and which brings a new approach in searching for loci of points, is given. This…

These pages aim to explain and interpret why the late Mika Seppälä, a conformal geometer, proposed to model student study behaviour using concepts from conformal geometry, such as Riemann surfaces and Strebel differentials. Over many years Mika Seppälä taught online calculus courses to students at Florida State University in the United States, as…

"Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014) gives teachers access to an insightful, research-informed framework that outlines ways to promote reasoning and sense making. Specifically, as students transition on their mathematical journey through middle school and beyond, their knowledge and use of…

Humans possess a remarkable ability to recognise both simple patterns such as shapes and handwriting and very complex patterns such as faces and landscapes. To investigate one small aspect of human pattern recognition, in this study participants position lines of "best fit" to two-dimensional scatter plots of data. The study investigates…

This paper presents a way of utilizing interdisciplinary relations between two educational branches, Mathematics and its applications and Information technologies (ICT) in integrated learning by the use of the Scratch programming language. The authors also present how they understand the concept of integrated learning and why they have chosen to…

This study aims to analyze the effects of conceptual change texts enriched with metaconceptual activities on the semantics of classroom teacher candidates. The sample of the study is made up of 60 3rd grade undergraduate students who study at Istanbul University Hasan Ali Yücel Faculty of Education. Pre-test post-test experimental modelling has…

This research aimed to develop a definition maps-based plane geometry module to improve the student teachers' mathematical reasoning skills based on the level of Van Hiele. This development research was to produce a product in the form of a module at the college level. This research referred to the ADDIE model involving five stages, i.e. analyze,…

Many pre-service mathematics teachers in South Africa are apprehensive about the content of Euclidean geometry, because they did not study Euclidean geometry in high school but will be expected to teach the content when they start their teaching career. This article reports on a study that explored the role of semiotic representations in…

In this study, we investigated the potential of a hypothesized geometrical measurement learning progression (LP) to examine students' thinking and understanding in this domain.We interviewed 30 third to fifth graders using 3 LP-based cognitive tasks that asked the students to find the length, perimeter, area, surface area, and volume measurement…

The purpose of this study is to determine the effects of metacognitive strategies and content-specific feedback on student achievement in high school mathematics. Participants consisted of a convenience sample of students in honors geometry. An analysis of variance with repeated measures was employed to address the research questions. For both the…

The purpose of this study was to examine middle school students' proportional reasoning, solution strategies and difficulties in real life contexts in the domain of geometry and measurement. The underlying reasons of the difficulties were investigated as well. Mixed research design was adopted for the aims of the study by collecting data through…

Mathematics content for elementary teachers (MCfET) courses generally provide prospective elementary teachers (PTs) with opportunities to engage with mathematical content and consider it from a teacher's perspective, yet little is known about the intended curriculum of such courses. Findings from an analysis of MCfET course activities using the…

The Office of English Language Acquisition (OELA) has synthesized key data on English learners (ELs) into two-page sheets on a variety of subjects. The topics for this report on English learners and high school mathematics include: (1) Distribution of Students Enrolled in High School Mathematics Classes; (2) Percentage of Students Who Failed to…

The aim of this study is to investigate the knowledge of pre-service middle school mathematics teachers on possible misconceptions and difficulties held by students regarding the area of triangle. In line with this aim, qualitative case study research design was used to obtain deep information. As the participants of the study, two pre-service…