We investigated whether three interventions -- studying incorrect worked examples, studying correct worked examples, or receiving feedback -- improved children's 0-1,000 (Experiment 1) and adults' 1 thousand--1 billion (Experiment 2) number-line estimation precision relative to a no intervention control group. At pretest, participants estimated…

This cross-national study examined students' evaluation of strategies for solving linear equations, as well as the extent to which their evaluation criteria were related to their use of strategies and/or aligned with experts' views about which strategy is the best. A total of 792 middle school and high school students from Sweden, Finland, and…

Problem-solving is a skill of fundamental importance for populations with developmental delays, and especially for students with Autism Spectrum Disorder (ASD). Training students with ASD to solve ill-defined problems is a challenging objective for educational and therapeutic teams. This is due to the myriad of unpredictable situations presented…

In the Hungarian "Guided Discovery" approach to teaching mathematics, teachers' planning work plays a crucial role. Teachers following the approach develop teaching trajectories based on "series of problems". This work includes the choice, creation, transformation, organization and networking of problems with regard to various…

A critical part of supporting the development of students' algorithmic thinking is understanding the challenges that emerge when students engage with algorithmatizing tasks--tasks that require the creation of an algorithm. Knowledge of these challenges can serve as a basis upon which educators can build effective strategies for enhancing students'…

Self-directed learning is a critical competence for living and working in our increasingly complex and unpredictable world. The concept of self-directed learning grew out of the adult learning field and scholars highlight the need to examine how self-directed learning competence can be fostered during childhood. However, there are very few…

This study aims to examine the construction process of the square root concept of secondary school students in Realistic Mathematics Education (RME) based environment. The study was carried out in an 8th-grade classroom with 16 students from a secondary school in a city in the Black Sea Region. The research was designed qualitatively as a case…

Crystalline concept is the main concept used as the reference by students in algebraic verification. This concept divided the way of solving algebraic verification into two types: symbolic and embodied compression. This research aimed to explore the students' mathematical thinking process in solving algebraic verification based on the Crystalline…

Objective: Explicit instructions to students to use the index finger to trace out specified elements of mathematics worked examples have been shown to improve mathematics learning outcomes; however, there is limited research on whether the magnitude of tracing actions impacts these outcomes. Method: Using an experimental design, 34 adults were…

Based on previous research, Computational Thinking (CT) Skills and attitudes can be influenced by gender differences. In addition, attitudes also have a correlation and influence on CT Skills. However, research on CT skills, attitudes, and gender for mathematics subjects and the relationship between CT skills for mathematics and attitudes is still…

This experimental investigation seeks to confirm and extend previous investigations that resource interdependence vs. independence during problem-solving relatively extends the problem representation phase before convergence on a solution. In this current investigation, ninth-grade Korean native language participants (n = 240) worked online to…

This article focuses on students' meaning-making when working with mathematics textbooks from a multimodal approach that encompasses all resources for communication, which is an under researched area. Central to this study are the designed meanings of the textbooks and the affordances discovered by students when working with the textbooks. Video…

In this study we designed, implemented, and evaluated a Problem-based Learning (PBL) course to teach undergraduate students about Viral Hepatitis from a Health Geography perspective. The course was attended by undergraduate students with no previous experience with PBL from a college in the Brazilian Amazon state of Acre. The course design was…

Meaningful learning occurs when individuals connect their existing knowledge with their current understanding. Unfortunately, many teaching practices neglect the learners' subconscious knowledge, also known as their "funds of knowledge." The result is a disconnect between school and home knowledge, social injustice towards students whose…

This paper analyzes the effects of active learning (AL) on the social entrepreneurship (SE) of physical education teacher education students (n = 158) from an Urban School. AL participants applied several strategies including but not limited to flipped classroom, problem solving, team projects, or case studies. The topic was approached using mixed…