Mathematical problems can be divided into two types, namely, process-open and process-constrained problems. Solving these two types of problems may require different cognitive mechanisms. However, there has been only one study that investigated the differences of the cognitive abilities in process-open and process-constrained problem solving, and…

This study compares the effects of object-oriented and robot programming activities on programming achievement, abstraction, problem solving, and motivation. In the study, two consecutive experimental cases were conducted to examine the consistency of findings. The research sample comprises 81 tenth-grade students undergoing vocational secondary…

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…

The purpose of this study is to investigate a mathematically gifted student's self-regulation behaviours while constructing and consolidating mathematical knowledge. However, the objective is to determine which self-regulation strategies influence this student's mathematical abstraction process. The case study method was used in the research. As…

We present a framework designed to help categorize various sense making moves, allowing for greater specificity in describing and understanding student reasoning and also in the development of curriculum to support this reasoning. The framework disaggregates between the mechanisms of student reasoning (the cognitive "tool" that they are…

Geometry is one of the basic areas of school mathematics education, and it is important for elementary students. However, students with mathematics learning disabilities (MLD) struggle with geometry learning. Research has demonstrated that concrete-representational-abstract (CRA) teaching is an effective practice for students with learning…

We explored the mediating role of prior knowledge on the relation between intelligence and learning proportional reasoning. What students gain from formal instruction may depend on their intelligence, as well as on prior encounters with proportional concepts. We investigated whether a basic curriculum unit on the concept of density promoted…

Supporting students in building well-grounded explanations plays a crucial role in scientific practice. Research in organic chemistry education on students' mechanistic explanations, however, has revealed various challenges. When solving mechanistic tasks, students experience difficulties when (I) deriving implicit properties from structural…

Introductory programming courses (CS1) are difficult for novices. Inspired by "Problem solving followed by instruction" and "Productive Failure" approaches, we define an original "necessity-driven" learning design. Students are put in an apparently well-known situation, but this time they miss an essential ingredient…

There is growing interest in implementing reform-based lab courses in undergraduate physics that are student driven rather than instructor driven. In these courses, students develop and carry out experiments while simultaneously reasoning about their hypotheses, data collection procedures, collected evidence, and the relevant physics content.…

In these times, described as an ´post-truth´ era where we are faced with information overload, it is a challenge to help students find relevant information, support their knowledge building and engage them in thinking critically about information and knowledge from different perspectives. This study investigates how a visual analytics interface…

Computational Thinking (CT) has recently been addressed as one of the key skills for the twenty-first century. Integrating CT into different subject areas of K-12 education is also now widely accepted to improve the quality of instruction. In that sense, it is important to enable educators and researchers to recognize how to integrate…

Computers and smart devices have become ubiquitous staples of our lives. Computers and computer-controlled devices are used in all industries from medicine to engineering, and textile production. One field where computers have inevitably spread into is education, and one pre-requisite of controlling computers, or increasing the level and…

The notion of algorithm may be perceived in different levels of abstraction. In the lower levels it is an operational set of instructions. In higher levels it may be viewed as an object with properties, solving a problem with characteristics. Novices mostly relate to the lower levels. Yet, higher levels are very relevant for them as well. We…

This paper extends prior work establishing an operationalized framework of mathematical sense making (MSM) in physics. The framework differentiates between the object being understood (either physical or mathematical) and various tools (physical or mathematical) used to mediate the sense-making process. This results in four modes of MSM that can…