Since the introduction by Kermack and McKendrick in 1927, the Susceptible-Infected-Recovered (SIR) epidemic model has been a foundational model to comprehend and predict the dynamics of infectious diseases. Almost for a century, the SIR model has been modified and extended to meet the needs of different characteristics of various infectious…

The Great Mini-Golf Project requires students to use a ruler to identify measurements to the quarter-inch, with careful precision and accuracy, which supported the Standards for Mathematical Practice 5 and 6: using appropriate tools to solve mathematical problems with precision (NGA Center & CCSSO, 2010). This project also supported Standard…

Early childhood educators' math anxiety and its relation to their frequency of pedagogic actions was examined through a questionnaire completed by 352 participants (aged 21-65) representative of the Swedish municipality where the study was conducted. Our sample contained 189 certified preschool teachers and 163 preschool caregivers who…

Research in mathematics education can be understood as a system of activities addressing the basic and applied problems related to teaching and learning of mathematics. Such a system includes the activities of foundation, planning, implementation, evaluation of mathematics instruction, and teacher professional development, which are supported by…

As a person obsessed, perhaps overly so, with preventing water damage, an ailing dishwasher led to a system whereby who did the dishes in our household became a matter of chance. What happened next, however, was besmirchment of my character from hockey teammates, close friends, and especially from a room full of future elementary school…

The purpose of these meta-analyses was to examine the effectiveness of home-based interventions aimed at improving literacy and mathematics outcomes for preschool-age children (mean age = 4.29 years; range = 3.07-5.32 years) and to develop an understanding of what home-based interventions work in different contexts. A total of 32 studies met the…

In this exploratory study, we investigate undergraduate students' engagement with generative Artificial Intelligence (genAI) in proving mathematical statements. We selected six mathematical statements to conduct interviews with three students. We present the emergent framework, Students' Interactive Proving Experience with AI (SIPE-AI), which…

This dissertation presents a mixed-data investigation aiming to comprehensively understand math anxiety in teachers. Math anxiety is defined as "feelings of tension and anxiety that interfere with the manipulation of numbers and solving of mathematics problems in a variety of ordinary life and academic situations" (Richardson &…

In the current digital age, (mathematics) teachers are provided with a profusion of digital resources. Consequently, research in mathematics education has focused on teachers' interactions with resources as the heart of their professional activity. The term Pedagogical Design Capacity (PDC) was introduced to designate teacher's ability to perceive…

This paper is written as a guide for any instructor seeking to develop the mathematical modeling process or open-ended problem solving in their courses. We describe a pedagogical approach to create mini modeling problems to develop the modeling process. These are problems that fall between traditional homework problems and open-ended modeling…

Mathematics traditionally has been taught in a way that reifies the cultural belief that it is discrete in nature and, therefore, irrelevant to other content areas and the real world. National Council of Teachers of Mathematics, inclusive of mathematics teacher educators, views this belief as unproductive to learning and has stressed the need for…

Experimental research on perception and cognition has shown that inherent and manipulated visual features of mathematics problems impact individuals' problem-solving behavior and performance. In a recent study, we manipulated the spacing between symbols in arithmetic expressions to examine its effect on 174 undergraduate students' arithmetic…

Learning standards such as the "Common Core State Standards for Mathematics" [CCSSM] (NGA Center & CCSSO, 2010) advocate that we develop students' algebraic thinking "beginning in kindergarten." Such a tall order requires innovative approaches that re-imagine what teaching and learning mathematics means for the elementary…

Detailed mathematical reasoning abilities can help students to understand higher mathematical abilities, including proving, problem-solving, and critical thinking. However, based on surveys and research, students' mathematical reasoning abilities are low and require significant attention. Therefore, this study aims to gain a detailed picture of…

This paper describes and analyzes three cases to show the impact that curiosity-driven (CD) discourse based on self-video can have on the professional awareness and noticing skills of mathematics teachers and instructors of mathematics teachers. The findings indicate that CD discourse raises awareness of heretofore unnoticed events in the lesson,…