This study explored how instructional guide documents and high school engineering teachers understand the concept of mindset and the instructional practice of feedback as students engage in classroom problem-solving activities. From data analysis, several important conclusions were made. High school engineering teachers create a classroom climate…

In the secondary and high school science program implemented in Turkey in 2018, the importance of engineering and design skills is underlined under domain-specific skills. The purpose of this study, in which case study method, one of the qualitative research methods, is used to examine the engineering design skills of high school students within…

Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…

The objective of this qualitative research is to study the mathematical work when solving a mathematical task in the domain of probability presented by Chilean high school mathematics teachers in pre-service and in-service training. We consider as theoretical support the Mathematical Working Space model and methodological design of a collective…

In our investigation of university students' knowledge about real numbers in relation to computer algebra systems (CAS) and how it could be developed in view of their future activity as teachers, we used a computer algorithm as a case to explore the relationship between CAS and the knowledge of real numbers as decimal representations. Our work was…

Structure sense can be interpreted as an intuitive ability towards symbolic expressions, including skills to perceive, to interpret, and to manipulate symbols in different roles. This ability shows student algebraic proficiency in dealing with various symbolic expressions and is considered important to be mastered by secondary school students for…

This study examined the criteria used by prospective mathematics teachers in determining whether a problem was a mathematical modeling problem. Two data collection tools were used in this case study. The first was a written evaluation form which consists of four problems developed by 27 prospective teachers individually that enrolled in a…

The article aims to determine the academic performance and errors in the resolution of types of problems of application of the quadratic function, of high school students from the Los Lagos Region and Los Rios Region in Chile. The approach is qualitative and descriptive with case studies. A math test with open response problems and an opinion…

Purpose: In the Philippines, improving the problem solving competency of students remains a major concern. In order to understand the current situation of problem solving in the country, this study investigated how Filipino mathematics teachers incorporate problem solving into their lessons and how they develop problem solving among students. In…

In this paper we propose STEAM practices that would foster mathematics learning through modelling architecture while connecting to culture and history. The architectural modelling process is applied by the teachers as participants of these practices from different countries allowing a broad cultural and historical connection to mathematics…

Problem solving is the building block of mathematics. Different approaches have been exhibited throughout the history to solve the problems that are as old as the history of humanity. As a result of developments in mathematics education, the problems are divided into different types according to the solution methods. Determining the types of these…

This study consisted of two stages. In stage A, 38 students were divided randomly into an experimental and a control group. The experimental group received lectures assisted by dynamic geometry software (DGS) and the control group received lectures using chalk and blackboard. The effects of DGS on metacognition and its components were…

This case study describes a classroom-based questionnaire that was carried out with a group of 36 high school students (17-18 years old) in Catalonia. The aim was to examine the usefulness of questionnaires focused on scientific inquiry, both to evaluate students' inquiry abilities and for their potential as tools to improve the understanding of…

A mathematical client-driven task known as Model-Eliciting Activities was implemented with students of different levels of achievement (i.e., low, average, and high) at the high-school level. The study strived to prove that Model-Eliciting Activities can be solved by students at any achievement level and be used as an assessment tool. Students…

Methods of education in schools should promote students' activeness, self-awareness, initiative and creativity; be suitable with the characteristics of each class and subject; foster self-study methods, ability to work in groups, practice skills to apply knowledge into practice, and impact emotions to bring joy as well as excitement to students.…