This paper examines three elementary school mathematics textbooks (one textbook from each of 6th, 7th, and 8th grade) to determine to what extent these textbooks present questions with multiple outcomes and multiple solution methods. Document analysis as a qualitative research method is adopted. The findings reveal that only 8% of all three…

There is anecdotal evidence that many elementary teachers integrate mathematics lessons and art activities by having students first make colorful, rich material that is subsequently used in an instructional activity. However, it is unclear whether such activities effectively promote learning and transfer of mathematical concepts. The goal of the…

In recent years, the field of education has challenged researchers and practitioners to incorporate computing as an essential focus of K-12 STEM education. Integrating computing within K-12 STEM supports learners of all ages in codeveloping and using computational thinking in existing curricular contexts alongside practices essential for…

The purpose of this study is to investigate the impact of teacher education by examining instructional visions of graduates from a teacher education program, 2 or 3 years post-graduation. An instructional vision is a teacher's idealized image of teaching practice, encompassing aspirations and hopes of what could occur in her classroom. We…

Unitizing, a cognitive support for number sense, describes how students conceptualize quantities in terms of units. Given the importance of this skill, a formative assessment tool was developed for array multiplication problems, including arrays that model the distributive property found in typical classroom curricula. Video of 77 fourth grade…

This qualitative study focused on one Mid-Missouri school district and was designed to collect and analyze teachers' and administrators' perceptions regarding the elementary math program for the purpose of program improvement. The district utilized ability grouping including acceleration for elementary math instruction. This study was analyzed…

In this paper we consider how the integration of mobile technology apps into classroom practice can form an alternative pedagogical medium that influences the learning process in mathematics. We give an account of one aspect of a research project that examined the use of tablets and apps in primary school mathematics programmes and report teacher…

Generalizing patterns is an important feature of algebraic reasoning that is accessible to students across grade-levels because it connects their numerical reasoning to algebraic reasoning. In this article, the authors describe how teachers can use the game Crack the Code to introduce generalizing to their students or can extend students'…

The purpose of this quantitative, correlational study was to discover the influence of teacher-student relationships on teachers' math self-efficacy and math anxiety in first through third-grade students. This research was significant since the results inform and guide educational training, evaluations, and classroom management. This study was…

The COVID-19 pandemic resulted in substantial unfinished learning for U.S. students, but to differing degrees for various subgroups. For example, students of color, from low-income families, or who attended high-poverty schools experienced greater unfinished learning. In this study we examined the degree of unfinished learning for students who…

Recent publications emphasize the need to take greater account of differences in teaching quality between subjects. The empirical analysis of this topic requires a comparison of teaching quality in different subjects to distinguish generic aspects of teaching quality from subject-specific ones. In this paper, we compare teaching quality in…

This article illustrates and differentiates the unique role cognitive interviews and think-aloud interviews play in developing and validating assessments. Specifically, we describe the use of (a) cognitive interviews to gather empirical evidence to support claims about the intended construct being measured and (b) think-aloud interviews to gather…

Following the emergence of chatbots, especially ChatGPT, researchers have begun to examine their capabilities, credibility, and reliability in educational context. In this study, ChatGPT and Google Gemini are used as technological tools to create 7th-grade lesson plans for mathematics, science, literature, and social studies classes. Using…

This study examined the development of self-efficacy among third-grade girls in a low-achieving school setting. Self-efficacy is defined as an individual's belief in their capabilities to attain desired outcomes, as described by Schillinger et al. (2021). This belief plays a significant role in influencing academic performance, social…

Recent work has demonstrated that having students study worked examples and answer self-explanation prompts as part of their problem-solving practice improves learning on researcher-developed measures of mathematical proficiency. However, little work has been done to date to investigate whether these benefits translate to improvements on the types…