This paper presents a semester-long bottle design project for an undergraduate Numerical Analysis course. Students implement numerical methods in MATLAB to design and 3D print a bottle. Employing mathematical methods to compute features of their designs enhances students' understanding of numerical techniques in design applications. Student…

This study investigates the effect of 5E learning model enriched with coding (5EC), gender and their interaction on 4th grade students' mathematics achievements and permanence of their learning. It also examines the effect of the 5EC on participants' attitudes towards mathematics. The study group consists of 119 students. Mathematics achievement…

In this paper, we explore the role that examples play as mathematicians formulate conjectures, and we describe and exemplify one particular example-related activity that we observed in interviews with thirteen mathematicians. During our interviews, mathematicians productively used examples as they formulated conjectures, particularly by creating…

Preservice teachers study an academic discipline (e.g. mathematics) and -- just like students majoring in that discipline -- have a certain level of connectedness to it. While studying, students may compare themselves to peers studying the same discipline within alternative degree programs, characterized by different study contexts. Notably,…

Assessment is essential for teaching and learning mathematical concepts. Teachers' and learners' understanding of how assessment is to be conducted in mathematics classrooms will guide what is to be taught and learnt and how teaching and learning will be conducted. The researchers' assertion is that circle geometry lessons require thinking-based…

Researchers have demonstrated a much-needed shift in pedagogical practices to incorporate literacy strategies. This dissertation provides additional empirical evidence to expand the body of research by utilizing a comparative readability analysis that examines the academic language of a popular calculus textbook. A sample from the published…

The purpose of this qualitative phenomenological research study was to explore and illuminate lived professional developmental experiences and personal perspectives of a select group of K-2 mathematics teachers. According to Creswell and Poth (2017), researchers collect and analyze data from people who experience a phenomenon to describe "the…

The application of learning models is one of the things that must be considered in the learning process in the classroom. This study aims to determine the effect of the cooperative learning model type STAD (Student Teams Achievement Division) on motivation to learn Mathematics in class VIII students of SMP 2 Mlati Yogyakarta. The research design…

In this article we review the research on the flexible or adaptive use of solution strategies in school mathematics, with a focus on the most recent work in the field. After a short introduction, we provide an overview of the various ways in which strategy flexibility has been conceptualized and investigated in the research literature. Then we…

Comprehending and formulating strategies for geometry problems that require higher-order thinking skills (HOTS) is crucial in enhancing mathematics education. This study implements a qualitative case study approach to comprehend how prospective mathematics teachers with varying Adversity Quotients (AQ) solve geometry Higher-Order Thinking Skill…

As students have struggled to use the "chip model" (i.e., red and yellow chips representing positive and negative numbers) to model integer addition and subtraction and have found it confusing, the authors developed a series of activities based on adding and removing opposite objects to and from a boat to better help students in this…

In this paper we present findings from an initial phase of a more extensive study focussed on ways in which prospective mathematics teachers negotiate meaning from mathematics teacher education situations. The focus of this paper is on the language of one mathematics teacher educator and specifically the interpersonal aspects from one mathematics…

Mathematical flexibility is thought to be a critical component of mathematical proficiency, and the term "mathematical flexibility" has been used by teachers, researchers, and policy makers for more than 2 decades. Although there seems to be consensus on the importance of mathematical flexibility as a construct, the way it is defined and…

We introduce learning modules in cryptography that can be crafted to motivate many abstract mathematical ideas, and we illustrate with a sample module. These modules can be used in a variety of ways, such as the core for a cryptography course or as motivating topics in other courses such as abstract and linear algebra or number theory.

This literature review examines the use of photography in educational research and in education, to learn how photography could be better used in teaching and learning mathematics and mathematics education research. The authors analyzed 125 publications published between 1975 and 2023 to identify different research methods and teaching solutions…