Graded Troubleshooting (GTS) is a powerful routine that teachers can use easily to engender students' metacognitive thinking and boost their understanding of mathematics concepts and procedures. This article describes a new GTS activity designed to prompt students to efficiently exploit worked examples when asked to diagnose erroneous examples…

Mathematics is a collection of cognitive products that have unique characteristics from other scientific disciplines. As cognitive products, mathematics, and thought processes are two things that cannot be separated. Although in the literature there have been many approaches proposed to support the analysis of students' thinking processes, not…

This study is a secondary analysis of the data collected in a randomized control trial study with sixth graders with mathematics learning difficulties (MLDs). We explored the relation between mathematics anxiety and mathematics performance for students with and without MLD. We further explored whether mathematics vocabulary and computational…

Computational thinking is an essential ability for students in the 21st century. Therefore, this study described students' mathematical computational thinking process in terms of self-efficacy of eighth graders, consisting of 32 students. The applied instruments were self-efficacy questionnaires, computational thinking ability tests, and interview…

This paper reports on the development of complex unfamiliar mathematics questions using conventional mathematics questions. The autoethnographic research data included retrospective reflections of two educators and review of literature. Data analysis resulted in a three-phase development process: identifying conventional questions and subject…

Numeracy skills are integral to the National Assessment, serving as a benchmark for gauging learning success. In addition to cognitive aspects, the affective aspect crucial in learning is self-efficacy. However, according to PISA 2018 data, the average score for numeracy skills of Indonesian students ranks in the bottom 6. The existing condition…

Learning to calculate the area of composite shapes is an important application of area measurement but evidence suggests that many middle school students struggle to calculate the area of even simple composite shapes. In this article, I report the findings of a classroom design study conducted to investigate the collective development of…

This research aims to improve the numeracy abilities of secondary students after using the Labirin: the board game and students' perceptions of mathematics learning using the game. This empirical study research used a one-group pretest posttest design. The research population is all grade-8 students in one of the Islamic public secondary schools…

Researchers from multiple disciplines have found that fractions and algebra knowledge are linked. One major strand of research has identified children's "units coordination" structures as crucial for success with fractions and algebra via multiplicative reasoning, whereas a second strand of research points to "magnitude…

Researchers from multiple disciplines have found that fractions and algebra knowledge are linked. One major strand of research has identified children's "units coordination" structures as crucial for success with fractions and algebra via multiplicative reasoning, whereas a second strand of research points to "magnitude…

Considerable amount of research in educational data mining has focused on developing efficient algorithms for Knowledge Tracing (KT). However, in practice, many real-world learning systems used at scale struggle to implement KT capabilities, especially if they weren't originally designed for it. One key challenge is to accurately label existing…

In prior work, we fit the mixture Rasch model to item responses from a fractions survey administered to a nationwide sample of middle grades mathematics teachers in the United States. The mixture Rasch model located teachers on a continuous, unidimensional scale and fit best with 3 latent classes. We used item response data to generate initial…

Mathematical performance plays a vital role in students' academic development. Studies have shown that some basic cognitive processes, including inductive reasoning, are critical for the development of mathematical performance. However, little empirical evidence has been accumulated regarding the association between inductive reasoning and…

This study capitalizes on response and process data from the computer-based TIMSS 2019 Problem Solving and Inquiry tasks to investigate gender differences in test-taking behaviors and their association with mathematics achievement at the eighth grade. Specifically, a recently proposed hierarchical speed-accuracy-revisits (SAR) model was adapted to…

The aim of this study is to reveal the mathematical literacy skills of seventh grade students according to the PISA Mathematical Literacy Framework. In the study, a special case study from qualitative research methods was used. The participants of the study were 25 seventh grade students studying in the middle school of a public school in Giresun…