Professional noticing has been stressed as one of the key professional competencies that teachers must develop. To date, there is a robust amount of literature on teacher noticing with a focus on students' mathematical thinking. However, we have thus far not found any study that focuses on teacher noticing of classroom situations in which…

One characteristic of high-quality mathematics teaching is supporting students in engaging in tasks of high cognitive demand. In this paper, we explore relationships between two elementary teachers' efforts to integrate computational thinking (CT) practices--abstraction, debugging, and decomposition--into their mathematics instruction and their…

Background: Empirical studies have revealed students' development of computational thinking (CT) and mathematical thinking (MT) during programming-based mathematical problem-solving, highlighting specific CT concepts or practices that serve as learning goals or outcomes. However, implementing programming-based mathematics instruction requires…

Informal statistical reasoning, a fundamental aspect of statistical reasoning, involves students' logical processing of random data to extract meaningful insights. Enhancing this skill is crucial for helping students interpret and address statistical problems within their cultural and contextual frameworks. Activity-centered learning, particularly…

This article draws from Hiroko Kawaguchi Warshauer's conceptualisation of productive struggle, which capitalises on experiences that elicit struggle, that is, those that require students to 'expend intellectual effort' and that are productive, in the sense that they seek to 'advance thinking and deepen' understanding of mathematical concepts and…

The aim of this study was to develop, implement, and evaluate an intervention program focusing on developing Grade 5 and 6 students' functional thinking. The innovative aspect lies in addressing simultaneously various aspects of function--input--output, covariation, correspondence, and object--in terms of manipulating tasks that involve functional…

Because creativity is an essential 21st century skill that must be developed in gifted and talented student populations, it is important for gifted and talented programs to nurture mathematical creativity. To shed light on this topic, this article explores three questions: What is mathematical creativity? How can we develop students' mathematical…

Mathematics is a core component of cognition. Unfortunately, most young children and teachers cannot access research-based early childhood mathematics resources. Building on a quarter-century of research, we are developing and evaluating an innovative, integrated, intelligent, and interactive system of technologies based on empirically validated…

Building Thinking Classrooms (Liljedahl, 2021) provides teachers with a new method of designing and sequencing tasks called "thin slicing," which emerged from variation theory. The results of the present study indicate that an analysis of the dimensions and ranges of variation within such a task offers insights into learning…

This study investigated the change in preservice teachers' (PSTs) mathematics teaching self-efficacy through a mathematics methods course and revealed the best practices that helped the PSTs develop a higher self-efficacy and a growth mindset for teaching mathematics. We collected data through a scaled-response questionnaire to measure PSTs'…

This paper investigates the connection between the spiral teaching method and mathematical rigor in K-12 education. Defining rigor as a balanced integration of conceptual understanding, application, and procedural fluency (contrasting it with rote learning), the paper posits that the spiral approach cultivates this rigor. By revisiting…

This meta-analysis study evaluates the effectiveness of research and development (R&D) of Android-based educational games in enhancing students' mathematical reasoning and its moderating factors. From 13 primary studies that met the inclusion criteria, analysis using R Studio (Meta Package) and the Random Effects Model (REM) showed an overall…

Spatial skills, the set of cognitive skills that are responsible for our understanding of objects in real and imagined spaces, have been identified as a potential gate-keeper for STEM success. Because of the recent emphasis on improving education to prepare for the increasing demand for workers in STEM fields, there is a rising interest in…

Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…

Mathematics learning using high-order thinking skills is crucial for students. High-order thinking skills can be developed through learning materials with contexts relevant to the student's environment. This research aims to: produce maritime context mathematics teaching materials for higher-order thinking in Junior High Schools that are valid,…