Although the effects of professional development programs on teachers' noticing skills have attracted considerable interest among mathematics education researchers, little is known about the developmental process of prospective teachers' noticing skills within initial teacher education. This paper examines the extent to which prospective teachers'…

Background: Little research exists which describes how mathematics and science constructivist beliefs are developed in a dual content mathematics/science methods course, and if beliefs within one discipline inform the other. If mathematics and science beliefs inform one another, then this would enrich learning in both disciplines. Purpose: The…

In this study, it is aimed to reveal the opinions of mathematics teachers about the future use of distance education. This study, which was designed in accordance with the case study, which is one of the qualitative research designs, was carried out with 42 mathematics teachers in the spring term of the 2020-2021 academic year. The data of the…

Optimal design of multisite randomized trials leverages sampling costs to optimize sampling ratios and ultimately identify more efficient and powerful designs. Past implementations of the optimal design framework have assumed that costs of sampling units are equal across treatment conditions. In this study, we developed a more flexible optimal…

A collision of one object with two or more objects is relatively complicated in general, but a simple example is provided by Newton's cradle since all the objects are identical and in line. In the present paper, an experiment is described where a heavy mallet collides head-on with two billiard balls. The two conservation equations indicate that…

An experiment is described where a pendulum bob was allowed to roll back and forth across an inclined plane. The period of oscillation is larger than that for oscillation in a vertical plane, in part because the effective value of "g" is reduced on an inclined plane. The experiment highlights the differences between all three common…

The aim of this study is to determine the effect of teaching based on mathematical modeling on the students' academic achievement in mathematics and science education through meta-analysis. In this study, experimental studies carried out in the national and international literature were included in the meta-analysis. As a result of the literature…

This dissertation examines how a team of five elementary mathematics teachers and their administrators engaged in the iterative process of Lesson Study for professional development over the course of a year. I use Andzaldua's conception of conocimiento, reimagined for math teacher learning by Gutierrez, to analyze data and understand the ways this…

Mathematical Knowledge for Teaching (MKT), the knowledge used by a teacher to teach mathematics, has often been examined as a cognitive construct in K-6 teachers, but little research exists examining MKT in the post-secondary teaching context. Schoenfeld (2020) extended the definition of knowledge and thus MKT to include tacit and explicit…

The field of Cryptography is rapidly evolving, and the development of quantum computers is on the rise. Lattice-based cryptosystems are promising candidates for quantum resistance, and it is the responsibility of institutions to prepare students for related careers. Undergraduate students in mathematics and mathematics-adjacent fields can -- and…

This study described the experiences of a group of seven sixth-grade teachers and the participation of their emergent bilingual students (EBs) during the implementation of an instructional protocol designed to provide students with opportunities to engage in mathematical reasoning through discourse. The Discursive Mathematics Protocol (DMP) is…

The purpose of this study was to determine effects of implementing metacognitive practices on the engagement of students in secondary mathematics courses. The study was guided by two primary inquiry questions that focused on the current implementation of metacognitive practices in the mathematics courses as well as the perceived change in student…

Across three studies and empirical papers, this dissertation focuses on the ways embodied, choreographic sense-making practices can expand the means and ends of STEM learning with respect to mathematics and computation. Specifically, this work demonstrates how practices for developing rule-based improvisational choreography map generatively onto…

Qualified learning materials is needed in the efforts to improve the quality of teaching-learning mathematics. Qualified learning materials can be obtained through development research. Learning materials in this study were learning materials that were developed based on guided discovery learning model. The learning materials was also developed by…

In this article, the author, a ninth grade teacher at a Title I high school, describes how she began her algebra classes with an open-ended research project, entitled Why Math? This project offered opportunities for students to reflect on why mathematics is important and to determine its relevance to them as individuals, that is, why…