The Cell Phone modeling task centers on a Fermi real-world estimation question. The task and rubric can be used at different grade levels to focus on the modeling process and classroom community. Finding time and space to engage students, especially novice modelers, in mathematical modeling can be a challenge, yet the benefits of modeling are…

[This paper is part of the Focused Collection in Investigating and Improving Quantum Education through Research.] One of the greatest weaknesses of physics education research is the paucity of research on graduate education. While there are a growing number of investigations of graduate student degree progress and admissions, there are very few…

The aim of this study is to provide data to better understand the processes of early mathematical modelling. According to this, an early mathematical modelling activity carried out by 21 Spanish schoolchildren aged 5-6 years is analysed, using the validated tool "Rubric for the Evaluation of Mathematical Modelling Processes" (REMMP). The…

Integrating computational thinking (CT) and science education is complex, and assessing the resulting learning gains even more so. Arguments that assessment should match the learning (Biggs, "Assessment & Evaluation in Higher Education," 21(1), 5-16. 1996; Airasian and Miranda, "Theory into Practice," 41(4), 249-254. 2002;…

The aim of this study was to examine how fifth grade students' critical thinking and problem-solving skills can be developed using practices based on Newman and Weglage's (1993. Five standarts for authentic instruction. "Educational Leadership," 50(7), 8-12) authentic learning standards ("high-order thinking," "depth of…

The question of how to engage undergraduate students in global learning is even more imperative given recent shifts in the global landscape and in higher education. Utilizing the value rubrics established by the American Association of Colleges and Universities, this analysis considers the importance of the humanities in realizing integrative,…

Generalisation is a key feature of learning algebra, requiring all four proficiency strands of the Australian Curriculum: Mathematics (AC:M): Understanding, Fluency, Problem Solving and Reasoning. From a review of the literature, we propose a learning progression for algebraic generalisation consisting of five levels. Our learning progression is…

This study explores the worked-example instruction (WEI) and the van Hiele teaching phases (VHTP) pedagogies to advance students' acquisition of procedural and conceptual understanding of solving simultaneous equations. The quasi-experimental study involved two groups of high school students (age=15): 157 students in total with 72 in one group and…

This study examines the effects of a design thinking intervention on first-year students' teamwork skills from a multi-actor perspective. A design thinking course was evaluated throughout a semester. Six-hundred-and-forty university students participated, guided by twenty-six facilitators. The students received in-class training and worked in…

We designed a rubric to assess free-response exam problems in order to compare thinking skills evidenced in exams in classes taught by different pedagogies. The rubric was designed based on Bloom's taxonomy and then used to code exam problems. We have analyzed historical and recent exam problems in both algebra-based and calculus-based exams. In…

Systems thinking is recognized as an essential skill for understanding complex problem solving and decision making associated with many of the contemporary issues faced by individuals and communities. In this article, our goal is to contribute to the knowledge of curriculum and pedagogy of formal systems thinking teaching in higher education. We…

Research indicates that standards-based mathematics instruction positively supports students' academic development. Although standards documents identify accepted best practices, they do not speak to the impact that students' expectations of the mathematics classroom has on the successful implementation of standards-based instruction at the…

Many classroom-observation instruments have been developed (e.g., Gleason et al., 2017; Nava et al., 2019; Sawada et al., 2002), but a very small number of studies published in refereed journals have rigorously examined the quality of the ratings and the instrument using measurement models. For example, Gleason et al. developed a mathematics…

Rubric has been associated with the term assessment used for grading and/or scoring. However, it might observe less, but it is also designed as students 'learning tool. This study was conducted to provide empirical facts on its effectiveness as a learning tool in teaching Applications of Derivatives in Basic Calculus. It used the…

In this paper, the authors introduce a research instrument (Draw a STEM Learning Environment: D-STEM) and its accompanying rubric (the D-STEM Rubric), both of which were developed based upon relevant research studies. The authors describe their usefulness to school principals in commencing conversations with their school's STEM [Science,…