In this paper we probe prospective mathematics teachers' thinking as displayed in their solutions to a geometry content knowledge-based task. Geometry content knowledge is examined in terms of connections made by these prospective teachers between the geometric configurations and the geometric principles established through visualization and…

This study aims to analyze how the Mathematics Teacher Candidates (MTCs) define the "prism" and "pyramid" concepts in geometry. The research was carried out in 2017-2018 academic year with 92 MTCs. This test consists of 3 open-ended questions that MTCs can answer conceptually. The first openended question was as "Define a…

In this article the authors described their exploration of a particular design element they labeled "video in the middle." As part of the video in the middle design, the viewing of carefully selected video clips from teachers' classrooms is sandwiched between pre- and postviewing activities that are expected to support teachers'…

The aim of this study is to identify the effect of creative drama-supported problem-based learning approach on self-efficacy ability of the students in the geometry classes. The pretest-posttest control group experimental design has been used in this research. The study group has been chosen from 59 students studying in 5/F and 5/E classes at an…

The study examined differences in students' conceptual and procedural knowledge of angles among two grades and gender. Participants were 382 sixth and 376 seventh graders from a metropolitan city in Turkey. Turkish students' conceptual and procedural knowledge of angles declined from sixth to seventh grade. Gender differences were found for…

Student problem solving in the context of a dynamic mathematics environment (DME) has previously been investigated primarily through the lens of whether or not the student could complete a problem-solving task. Herein, we investigate what trajectories students employ in the realms of mathematics, technology, and problem solving as they attempt to…

The purpose of this research was to show open-ended questions about surface area and beam volume which valid and practice, have potential effect. This research is research development which consists of two main phases: preliminary phase (preparation phase and problem design) and formative evaluation phase (evaluation and revision phases). The…

Children's cognitive control and knowledge at school entry predict growth rates in analogical reasoning skill over time; however, the mechanisms by which these factors interact and impact learning are unclear. We propose that inhibitory control is critical for developing both the relational representations necessary to reason and the ability to…

Geogebra is software designed to solve geometry, calculus and algebra material as well as applications for designing spaces and buildings. The purpose of this research is to produce teaching material products through Geogebra software in mathematics courses that can be utilized in learning. The stages in this research include: (1) the stage of…

Embodied mathematics activities involve students engaging in physical actions to help them better understand mathematics concepts. Current research shows these types of activities have great potential to help students develop conceptual understanding. The authors present four principles for designing embodied mathematics activities and give…

Low cost, open-source analytical instrumentation has the potential to increase educational outcomes for students and enable large-scale citizen science projects. Many of these instruments rely on smartphones to collect the data, mainly because they can effectively leverage a dramatic price-to-performance ratio of the optical sensors. However,…

The study intended to find out how in-service teachers were trained to teach geometry in Zimbabwe. Mixed method was employed in this study, in which qualitative and quantitative methods are concurrently used. While the questionnaire with closed ended questions constituted the quantitative aspect of the study, the open ended questionnaire questions…

Previous research has verified the benefits obtained when learners trace out worked examples with the index finger. Our study conducted two experiments to explore the reasons for this phenomenon and its generalizability. Experiment 1 compared the learning effects among tracing, non-tracing, and cueing methods. The cueing method was included to…

Background and Context: Learners struggle with conceptual understanding of introductory programming concepts such as variables, expressions, and loops. Objective: We examine whether and how designed activities for conceptual exploration support preliminary engagement with and learning of foundational and often hard-to-grasp programming concepts…

This purpose of this paper is to deepen the understanding for a problem of practice in the mathematics educators' classroom of low retention of information thus leading to poor mathematics achievement. The identification of the problem of practice led to a development of a research focus examining the effects of using intelligent tutoring software…