A new approach, termed the "scale factor method," is presented for solving a variety of stoichiometry problems. Students taught to solve mass-mass stoichiometry problems using this method found it more intuitive and had a higher rate of success than students using the traditional dimension analysis approach. The scale factor approach…

In South Korea, the National Curriculum and textbooks, especially within design education, are closely intertwined. The Curriculum is critical in establishing educational goals and standards for each subject, acting as a blueprint for schooling. Textbooks, which must be approved, are designed to align with this Curriculum. This article introduces…

Procedural fluency and strategic competence in operating and mathematizing with natural and rational numbers are based on a flexible and meaningful use of mental models, strategies, and procedures. The study to be presented in this paper pursued the question as to which subdomains or tasks relating to procedural fluency and strategic competence at…

This paper explores the integration of Sustainable Development Goals (SDGs) into service-learning for fostering global citizenship and addressing societal challenges. Beginning with an overview of the complex issues facing society in the 21st century, this paper emphasizes the importance of engaging students in critical thinking, problem-solving,…

This study aims to produce a jumping task in the form of a student worksheet which is valid and practical. Design research in the form of development studies was chosen in this study which consist of preliminary stage and prototyping stage. Data were collected by walk through, test, questionnaire, and interview. Data were analyzed descriptively.…

Students in Appalachia have a heritage of problem-solving. We explore how computational thinking (CT) relates to and complements this heritage by analyzing 34 local ingenuity stories, and perspectives from 35 community members about the relevance of CT. We found the two problem-solving approaches are meaningfully different, but can be used in…

School pedagogies that expand opportunities for learners to build and use knowledge for meaningful purposes are resources for hope. Internationally, standards-based reforms in science education position schooling as a context for building and using disciplinary knowledge to explain phenomena and solve problems. There is also growing research…

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use…

While contemporary mathematics education literature argues that curricular resources, such as textbooks, play a significant role guiding mathematics teachers in what and how they teach, it also shows that these resources often do not do what they say they will do, nor adhere to the standards they claim to further. When it comes to the most…

Students lacking automaticity of multiplication facts puts them at a disadvantage when learning fifth grade mathematics standards. If students need to use a multiplication chart, or use tally marks, or repeated addition to solve multiplication problems, they struggle to move forward with standards, which involve exponents, fractions, area, and…

Reform standards in mathematics education have called for classrooms that are student-centered and that incorporate problem solving and reasoning for meaningful learning. After decades of reform efforts involving multiple stakeholders, research indicates that most classrooms remain teacher-centered and procedurally focused, due to the complexity…

This quantitative study investigated the relationships among practicing elementary teachers' (N = 153) beliefs about mathematics and its teaching and learning, mathematics anxiety, and instructional practices in mathematics. When viewed singly, the findings reveal the teachers with higher levels of mathematics anxiety tend to use less…

The New York State Education Department (NYSED) adopted a set of three standards for social and emotional learning (SEL) in August 2018. In doing so, they have paved the way for explicit instruction in and assessment of 21st-century skills. The three-goal framework selected by NYSED (2018) is modeled after the five competencies of the…

The literature on the association between reading comprehension and mathematics skills is complicated and conflicting. This study seeks to illuminate the nature of the association between mathematics skills and reading comprehension by incorporating potential moderators, namely components of mathematics skills, domains of content standards in…

In this conceptual essay, I argue that there is an aesthetic dimension to all mathematical inquiry and that it is possible for teachers to highlight this aesthetic dimension, even within the context of standards-based mathematics curricula. This curricular approach, however, presents unique challenges to early-career teachers. I highlight those…