Not only children but also adolescents and adults encounter great difficulties in learning to reason proportionally. Despite these difficulties, research increasingly shows that proportional reasoning emerges early, before it is being instructed in school. There have however been very few attempts to stimulate this early emerging ability. The aim…

The aim of this study is to explore the computational thinking (CT) processes of university students with the integration of CAS and ACODESA method within the context of problem-solving. The participants of the study are 22 university students. The embedded design was used in the study. The qualitative data consists of the written products of the…

Explainable recommendation, which provides an explanation about why a quiz is recommended, helps to improve transparency, persuasiveness, and trustworthiness. However, little research examined the effectiveness of the explainable recommender, especially on academic performance. To survey its effectiveness, the authors evaluate the math academic…

The purpose of this mixed methods study was to investigate the implementation of a researcher-created numberless word problem instructional unit designed to introduce second-grade students to word problems in the semantic category of "compare with the word more, smaller unknown." The 10-day instructional unit incorporated three elements:…

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…

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…

This study aims to examine the effect of the P4C curriculum on 5-6-year-old children's critical thinking through philosophical inquiry and their problem-solving skills. The study group included a total of 40 children learning in kindergartens at an elementary school in Çanakkale, Turkey. The study used a quasi-experimental model with the…

In this study we aimed to inquire into the impact of the use of early arithmetic strategies by a group of fifth-grade students, on their solving of equations involving two representations of unknowns. Pre- and post-tests consisting of equation-solving items involving two representations of unknowns (number sentences containing empty 'brackets', as…

Nowadays, many education programmes claim to evolve according to present and future skills needed for sustainable development, and one of these skills is inventive problem-solving. Systematic-inventive problem solving (SIPS) is a systematic approach to problem-solving derived from engineering, technology, science, mathematics, and general…

The Paper Chase model is a synchronous collaborative approach to manuscript development. Through a structured and team-based design, authors participate in a "marathon" of writing, editing, revising, and submitting their publications within a specified period. This active-learning approach is considered a high-impact practice by engaging…

The questions in the practice assignments given to students in the form of worksheets or other formats are often grouped by chapter, topic, or concepts. There is a great emphasis on categorization. Most of the end-of-chapter problems in chemistry textbooks are organized by sections. Although this was done with the intention of helping students…

Objective: When students learn or solve problems, attentional resources are depleted; rest breaks may restore cognitive functioning in support of learning. Research framed by attention restoration theory holds that exposure to natural environments may be another means to restore attentional resources. The study investigated the effects of…

Contribution: A problem-solving approach (PSA) model derived from major computational thinking (CT) concepts. This model can be utilized to formulate solutions for different algorithmic problems and translate them into effective active learning methods. Background: Different teaching approaches for programming are widely available; however, being…

Research has shown assistance can provide many benefits to novices lacking the mental models needed for problem solving in a new domain. However, varying approaches to assistance, such as subgoals and next-step hints, have been implemented with mixed results. Next-Step hints are common in data-driven tutors due to their straightforward generation…

The purpose of this research was to apply multimodal learning analytics in order to systemically investigate college students' attention states during their collaborative problem-solving (CPS) in online settings. Existing research on CPS relies on self-reported data, which limits the validity of the findings. This study looked at data in a…