This study introduces inferentialism and, particularly, the "Game of Giving and Asking for Reasons" (GoGAR), as a new theoretical perspective for investigating qualities of procedural and conceptual knowledge in mathematics. The study develops a framework in which procedural knowledge and conceptual knowledge are connected to limited and…

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…

Two-hour long developmental teaching interviews were conducted with each of 14 sixth grade students, ages 11-12. The purposes of the interviews were to investigate how students solved arrangement problems (APs), and how their solutions of these problems differed from their solution of Cartesian product problems (CPPs). The 14 students represented…

Effective mathematics education for Latinx students with learning disabilities (LD) necessitates teachers who uphold high academic expectations, facilitate access to rigorous math curricula, and champion inclusive and meaningful student participation. This study delves into teachers' perspectives on instructing Latinx students with LD, including…

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 convergent parallel mixed methods study was to understand how being both Black and a girl impacted the mathematical and STEM experiences of Black adolescent girls enrolled in informal STEM learning programs and Black adolescent girls who are not enrolled in informal STEM learning programs. Using Critical Race Theory, this study…

The adverse influence of the presence of an irrelevant number and language inconsistency in a word problem is well known. Our study focused on the combination of these two variables and on the position of the irrelevant number in the word problem for Grade 6 pupils. The study has a mixed design. Item Response Theory was used to make equally able…

This study aimed to determine the effect of localized lesson plans to the interest and performance in mathematics. The respondents were grade 6 pupils of Odiong Elementary School, Philippines in the school year 2019-2020. The experimental grouped was exposed to instruction using localized lesson plans while the control grouped was exposed to…

This study explores the dynamics of accountability and responsibility among mathematics educators as they integrate Social and Emotional Learning (SEL) into their teaching practices. Utilizing a hermeneutic transcendental approach, the research examines the lived experiences of teachers, their challenges, and the strategies they employ to balance…

Purpose: "Good thinking" has become very important in today's world. A good thinker should have critical thinking skills as well as critical thinking virtues. Some researchers stated that teaching critical thinking within certain disciplines and subject areas would significantly contribute to the development of students as strong…

The study reported here was conceptualised using a theoretical framework that included three dimensions of engagement; emotional, behavioural, and cognitive, and these were used to structure the data collection and analysis vis-à-vis learning mathematics outdoors. This comparative case study involved 34 students from two Year 6 classes at a…

This qualitative semi-structured interview study investigated how the opportunity to learn with productive struggle emerges in a teacher's beliefs, anticipation, planning, teaching, and response to struggle in learning mathematics. In this study, the experiences of student struggle in the teaching and learning of fractions was investigated through…

We apply an advanced data visualization technique, "Sankey diagram," to explore how middle-school students (N = 343) solved problems in a game-based algebraic notation tool. The results indicate that there is a large variation in the types of students' strategies to solve the problems, with some approaches being more efficient than…

Dude Perfect has one of the most popular YouTube channels in the United States. The task in this article is one of several activities the author has integrated into mathematics lessons in ways that engage students and that are connected to Dude Perfect videos (Stohlmann 2019). The author describes how he planned and implemented purposeful…

To test the hypothesis that a higher tendency to "s"pontaneously "f"ocus "o"n "m"ultiplicative "r"elations (SFOR) leads to improvements in rational number knowledge via more exact estimation of fractional quantities, we presented sixth graders (n = 112) with fraction number line estimations and a…