The development of proportional reasoning is crucial for higher-level mathematical skills. Various studies have demonstrated that the numerical structures of problems have an impact on the strategies used to solve direct proportional problems. This research was conducted to determine eighth grade students' strategies for solving inverse…

The aim of this study is to reveal and evaluate the attending and interpreting skills of student thinking of prospective teachers, as well as their instructional suggestions as responding skills. The current study was conducted with 29 prospective mathematics teachers (PMTs) within a qualitative design in the context of probability. First, three…

Mathematical literacy has an important role in solving students' real-life problems in supporting literacy skills, teachers can use real contexts as outlined in tasks in-class learning. The Bengkulu context can be used because it is closely related to the environment and students' daily live. This study aims to produce math literacy tasks in the…

Background: Key to optimizing Computational Thinking (CT) instruction is a precise understanding of the underlying cognitive skills. Román-González et al. (2017) reported unique contributions of spatial abilities and reasoning, whereas arithmetic was not significantly related to CT. Disentangling the influence of spatial and numerical skills on CT…

This study assessed 1,706 eighth-grade students' reasoning abilities through a critique task in an integrated argumentative reading and writing test. Results indicate that the majority of students did not detect fallacious arguments or clearly explain problems in the arguments. They encountered various challenges in critiquing an argument: (a)…

This paper reports on the results of a study investigating the potential to embed Informal Statistical Inference in statistical investigations, using TinkerPlots, for assisting 8th grade students' informal inferential reasoning to emerge, particularly their articulations of uncertainty. Data collection included students' written work on a…

The purpose of this research study was to learn about students' conceptions concerning the line of best fit just prior to their introduction to the topic. Task-based interviews were conducted with thirty-three students, focused on five tasks that asked them to place the line of best fit on a scatterplot and explain their reasoning throughout the…

Despite the proliferation of mathematics standards internationally and despite general agreement on the importance of teaching for conceptual understanding, conceptual learning goals for many K-12 mathematics topics have not been well-articulated. This article presents a coherent set of five conceptual learning goals for a complex mathematical…

We studied developmental trends in 5 important reasoning tasks that are critical components of the operational definition of rational thinking. The tasks measured denominator neglect, belief bias, base rate sensitivity, resistance to framing, and the tendency toward otherside thinking. In addition to age, we examined 2 other individual difference…

In this article, the author shares how Sally Smith, founder of The Lab School of Washington, was right about her being a "history person" when she was assigned to teach Democracy at the Lab School. The author was hired to teach Democracy in 1996, after working in the Junior High for a year as an assistant teacher. Smith explained to the author…

This study investigated whether children's inversion shortcut use (i.e., reasoning that no calculations are required for the problem 4 x 8 divided by 8, as the answer is the first number) is related to their analogical reasoning ability, short-term memory capacity, and working memory capacity. Children from Grades 6 and 8 solved multiplication and…