Mathematics is not just the queen of the sciences; it permeates through art, commerce, and in fact, every aspect of modern life. However, while we as mathematicians see beauty in the mathematical way of thinking and problem-solving, our students tend to think of mathematics as a set of rules and abstract computations. Our pleasure of doing…

This paper presents a series of basic computational problems that are mathematically and/or graphically appealing, and provides an idea of places one might go in trying to understand what is happening, integrating mathematics, computation, and graphics. The real point of this paper is to make a case, through those examples, for computation as an…

Self-efficacy is a subject of ongoing intense research in cognitive psychology. Studies within this tradition are focused on how this agentic aspect of human functioning fits within and contributes to a network of other sociocognitive functionalities. From a mathematics education perspective, we seek a theoretical re-framing of self-efficacy that…

Determining preservice teachers' competence in proportional reasoning is a very complex task, and existing research methods do not provide effective tools in doing that. This study describes an interview structure and application of it in determining preservice teachers' competence in proportional reasoning. The interview structure consists of…

Calculus education research on integration is coalescing around the theme that teaching integration based on quantitative reasoning is crucial for robust understanding of and usage of integrals. This paper contributes to this International Journal for Research in Undergraduate Education special issue on the teaching and learning of definite…

Successful word problem performance often requires understanding the linguistic relations between characters and objects. However, the keyword method promotes associating specific words with mathematical operations while neglecting the situational context. Research has thoroughly investigated the detrimental effects of individuals associating…

This study investigates the potential of rehearsal interjections to provide opportunities for novice teachers and teacher educators to discuss topics related to teaching the practice of mathematical defining. Through analysis of video recordings of seven elementary novice teachers' rehearsals about geometric definitions, we identified the problems…

Fractions remain one of the most difficult topics to convey to students. Thus, employing professional development programs known for improving the teaching and learning process, such as lesson study, is deemed necessary. This study aims to assess and analyze the strengths and weaknesses of the implemented research lesson using the Mathematical…

We conduct a critical review to explore how research on mathematics classroom assessment has positioned students (127 studies, 2015-2020). Our analysis shows how research has positioned students as passive recipients of assessment by portraying assessment through discourses of measurement and cognition. Conversely, students are positioned as…

Ben Zunica describes a lesson in which computational thinking has been successful in assisting students to understand the process of simplifying surds. The strengths and limitations of this approach are discussed. The author concludes that computational thinking can assist in solidifying understanding of a range of mathematical processes for…

The purpose of this study is to investigate the reactions students with low interest in mathematics have to multiple mathematics tasks. Interest has been shown to influence students' engagement, motivation, and achievement (Renninger & Bachrach, 2015; Hidi & Harackiewicz, 2000; Kang & Keinonen, 2018). Therefore, understanding what…

The application of decomposition strategies (i.e., associative or distributive strategies) in two-digit multiplication problem solving supports algebraic thinking skills essential for later complex mathematical skills like solving algebra problems. Use of such strategies is also associated with improved accuracy and speed in mathematical problem…

Math achievement is one of the strongest predictors of academic success and career attainment. While research has focused on cognitive factors that relate to math achievement, a growing body of literature suggests that affective factors like math anxiety also relate to math achievement. The field of math anxiety has expanded to recognize that not…

Although the impacts of math anxiety, attitude toward math, and math self-efficacy on math achievement have been well-defined in the relevant literature, the interrelations among these predictors to explain math achievement are understudied. This study examined the structural relationships among math achievement, math anxiety, math self-efficacy,…

We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…