Visualising positive and negative numbers on a number line is helpful for exploring problems involving operations with positive and negative numbers. This is because number lines lend themselves to exploring problems involving continuous linear contexts such as travelling distances and temperature. Teachers in a professional development program…

In the recent years, there has been a push to engage primary and secondary students in computer science to prepare them to live and work in a world influenced by computation. One of the efforts involves getting primary and secondary students to think computationally by introducing computational ideas such as, algorithms and abstraction. Majority…

Analyzing and interpreting student thinking through written work is a key, often challenging, practice of teaching. It entails noticing students' mathematical thinking and drawing on mathematical knowledge for teaching. This study investigates how pre-service secondary teachers at the beginning of their preparation reason about students' written…

The purpose of these notes is to generalize and extend a challenging geometry problem from a mathematics competition. The notes also contain solution sketches pertaining to the problems discussed.

The aim of this study was to investigate how pictorial representations with different semiotic characteristics affect additive word problem solving by kindergartners. The focus of the study is on three categories of additive problems (change problems, combine problems and equalize problems) and on representational pictures with different semiotic…

Background: Recent developments in STEM and computer science education put a strong emphasis on twenty-first-century skills, such as solving authentic problems. These skills typically transcend single disciplines. Thus, problem-solving must be seen as a multidisciplinary challenge, and the corresponding practices and processes need to be described…

This mixed-method study aims to explore the feasibility of using the game-based, multimodal representation of mathematical problems to support middle school students' practice and performance of math problem representation and solving. A three-dimensional architectural simulation game, called E-Rebuild, was developed to engage students in…

Researchers suggest that solving ill-structured problems using project-based learning approaches is one way to engender STEM learning outcomes. However, project based learning poses unique challenges in practice, including the translation of technical information, design of scenarios, facilitation of instruction, and management of student…

This paper describes analyses of the K-12 computational thinking (CT) integration activities collected at two NSF-funded workshops, "Developing an Interdisciplinary Framework for Integrating Computational Thinking in K-12 Science, Mathematics, Technology, and Engineering Education," held in August and November of 2017 at Education…

In this study, it was examined that in what level reflective thinking towards problem solving skills and metacognitive awareness explained maths course achievements of the students and the relationships among these variables were studied. Relational survey model was applied. The study included 412 seventh grade students from two different…

We present a validation study of fifteen new math anxiety scale items designed to augment the widely-used Revised Mathematics Anxiety Scale (RMARS). While the RMARS and other standard instruments measure students' anxiety in response to computation, test situations, and math course activities such as buying a textbook or watching a lecture, the…

Students' problem-solving success depends on more than their knowledge and abilities. One factor that may play a role is the teacher's expectations of students. The current study focused on how a teacher's explicitly-stated expectations influence students' ability to learn from corrective feedback during problem solving. On the one hand, setting…

This lecture reports on aspects of a larger research programme focused on studying mental mathematics in elementary and secondary mathematics classrooms. It specifically addresses an unplanned aspect that became salient through the work conducted in these classrooms. In this research programme, mental mathematics sessions are designed on a variety…

The topics of correlation and linear regression constitute a complex and subtle system of statistical and mathematical ideas whose teaching-learning raises numerous practical and theoretical problems. In this research paper, the patterns of reasoning that students exhibit, under the approach of informal inferences when they face problems of…

The formation of a person's personality in his intellectual and moral improvement, the expansion of his independence, creativity and critical thinking is possible within his participation in the educational process. In the conditions of the Slovak Republic, the subject of civics plays an important role in this process. The aim of the paper is to…