Generalization is considered to be an essential part of mathematical reasoning and proving, and it has many definitions in mathematics education research. Despite its centrality, teachers often have difficulty identifying and responding to generalization in students' work. In this study, we focus on preservice teacher's (PTs) ability to describe…

In this study, it was aimed to reveal the opinions of mathematics teacher candidates about the use of the GeoGebra program, which is dynamic geometry software, in the teaching of probability, which is among the concepts that we generally use in the decision-making process in uncertain situations that we encounter in the teaching process by…

This dissertation consists of three papers. In each paper, I leverage a different quantitative method to study a downstream effect of technology on educational outcomes. In the first paper, I study the impact of an online math learning program on 3rd through 5th grade math achievement in Louisiana. Employing Zearn Math usage metrics and…

Geometry teaching in elementary schools in Colombia is a challenging task. Students' problems with this topic have led to below-average performances in the Program of International Student Assessment. To face this challenge, this paper presents Akasha, a personalized software application to reinforce geometry teaching to elementary school children…

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…

Multimedia programs having a number of elements like Texts, spoken words, sound & music, graphics, animations and still pictures provide different stimuli in their presentations. Art is the field of education that provides a platform for rigorous investigation, representation, expression, and reflection of both scholastic content and the art…

This is the first article in a series of two that offers some excellent advice for schools and teachers about how thoughtful and purposeful integration of technology can benefit mathematics classrooms. Several important principles to be considered are examined. [For the second article, "Beyond Fluency: Promoting Mathematical Proficiencies…

Having a nice mathematical task is one challenge for a teacher--another is making it come alive for students in the classroom. The pathway to the latter is pedagogy--the range of teaching strategies possessed and activated by the teacher. This article presents a delightful mathematical activity known as Spirolaterals, a geometrical figure formed…

Using a convergent parallel mixed methods design, this exploratory study examined mathematics lessons in two third-grade classrooms to analyze the mathematical classroom discourse when using tutorial instructional software. A chi-square test for independence revealed statistically significant correlations between teachers use of the focusing and…

Since many decisions in politics, economics, and social sciences are based on statistics, statistical literacy is a key component for an active citizen. Statistical skills and statistical reasoning can already be enhanced in primary school. Therefore, not only in Germany, statistics is an element of the primary-school curriculum, which usually…

We have used "GeoGebra," a dynamic geometry software environment, to explore how Year 4 students understand definitions of angles. Seven students defined angle and then completed several activities adapted for the dynamic environment. Afterward, students again shared their definitions of angles. We found that even a short investigation…

The availability of technology has a big impact on education, and that is the main reason for discussing the use of technologies in mathematical education in our paper. The availability of technology influences how mathematical contents could be presented to students. We present the benefits of learning mathematical concepts through real life…

The study presents the results of a project in which a series of digital games were used for teaching Mathematics to first, fourth, and sixth-grade primary school students (ages 6-7, 8-9, and 11-12). Mathematics was selected as the teaching subject because of the difficulties students face in understanding basic math concepts. Although digital…

"Accelerated Math®," published by Renaissance Learning, is a software tool that provides practice problems for students in grades K-12 and provides teachers with reports to monitor student progress. "Accelerated Math®" creates individualized student assignments, scores the assignments, and generates reports on student progress.…

This action research study primarily examined how educative curriculum materials (i.e., curriculum materials that include supports for teacher learning) can improve a teacher's knowledge base and ability to succeed in the classroom. The focus was on the impact of one type of educative curriculum material: PowerPoint presentations. Specifically,…