There is a growing perception that computational thinking can be developed in unplugged environments. A recent trend among these unplugged approaches is the use of tabletop games. While there are many commercial tabletop games on the market that are promoted as teaching computer science and/or computational skills, little is known about how these…

Students' experience errors in solving proportional problems and prospective teachers' experience were the same thing. Research that explained the wrong strategy for understanding proportional problems still needed to be completed. Objectives to describe the wrong strategies chosen by prospective teachers in solving proportional questions and the…

Despite problem posing's prominence in mathematics education research, its implementation in classrooms is limited. Therefore, teacher educators should incorporate problem posing tasks into preparation programs to help prospective teachers gain confidence in their abilities. One approach to teaching problem posing includes providing examples. The…

Object-oriented programming distinguishes between instance attributes and methods and class attributes and methods, annotated by the "static" modifier. Novices encounter difficulty understanding the means and implications of "static" attributes and methods. The paper has two outcomes: (a) a detailed classification of aspects of…

The purpose of this literature review is to explicate the facets of mathematical problem solving taxonomies in relation to mathematical modeling. Subsequently, components and learning benefits of mathematical modeling are discussed. Examples of mathematical problems are embedded in the discussion and pragmatic applications to mathematical…

Numerous studies compared the effectiveness of various formats of video-based teaching, yet their focus has primarily been on relatively straightforward content, such as concepts and basic procedures. Research on the effectiveness of teaching complex content through different formats of videos remains limited. This study addresses this gap by…

A cohort of pre-service mathematics students was exposed to a teaching strategy based on retrieval practice and test-potentiated learning. The aim of the study was to determine how high and low prior topic knowledge study participants compare in terms of their procedural fluency and conceptual understanding after exposure to the teaching strategy.…

A teaching approach plays an important role in teaching and learning process of an introductory programming (IP) course. The teaching approach should focus on different programming skills required by novice programmers. In this study, we introduced the teaching and learning approach based on an ADRI (Approach, Deployment, Result, Improvement)…

This paper presents a model for mastery learning. The framework for this model overlays the cognitive and knowledge dimensions from Krathwohl's revision of Bloom's Taxonomy, the Revised Taxonomy, with Polanyi's theory of personal knowledge. A simplified framework integrates Polanyi's concepts of subsidiary and focal awareness with the Revised…

When researchers code behavior that is undetectable or falls outside of the validated ordinal scale, the resultant outcomes often suffer from informative missingness. Incorrect analysis of such data can lead to biased arguments around efficacy and effectiveness in the context of experimental and intervention research. Here, we detail a new…

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…

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…

Recent advances in teaching, many of which incorporate elements of active learning, seek to provide students with learning experiences indicative of real-world problem solving. Problem-based learning (PBL) is one form of active learning that challenges students to address open-ended problems. In this work, we evaluate the efficacy of PBL in…

Literature has established that some learners encountered difficulties solving first order ordinary differential equations (ODEs). The use of error analysis in teaching ODEs is believed to make essential contribution towards calculus knowledge development. This paper therefore focuses on analyzing pre-service teachers' (PSTs) errors and…

This study aimed to examine students' work in online assessments to gain more understanding for designing continuous assessments in a blended learning environment for prospective primary school teachers. The study took place during emergency remote teaching due to the COVID-19 pandemic. Course work for prospective primary school teachers in the…