Being part of the German didactic tradition, reflective thinking was first coined by Wilhelm von Humboldt two-century ago. Reflective thinking helps individuals to develop strategies in order to overcome the problems that they encounter. Investigating the reflective thinking skills of students for problem solving is important to identify students…

When implementing large-scale educational computing initiatives (e.g., One Laptop Per Child) it is vital to allocate resources for training, support, and device deployment judiciously. One question that arises is how learners' engagement with online educational resources is affected by receiving a new computer; do the benefits justify the costs?…

This study compared the effects of three different feedback formats provided to sixth grade mathematics students within a web-based online learning platform, ASSISTments. A sample of 196 students were randomly assigned to one of three conditions: (1) text-based feedback; (2) image-based feedback; and (3) correctness only feedback. Regardless of…

With the understanding of importance of pedagogical content knowledge, professional noticing has become one of the research subjects of the mathematics educators for the last 10 years. This qualitative study which explores secondary school students' solution processes regarding the concept of equation ,one of the main components of algebraic…

The purpose of the present study was to portray students' misconceptions and errors while solving conceptually and procedurally oriented tasks involving length, area, and volume measurement. The data were collected from 445 sixth grade students attending public primary schools in Ankara, Türkiye via a test composed of 16 constructed-response…

The aim of this study was to investigate the effects of the applications of learning together and group investigation methods at different intervals on the features of cooperative learning model. The study sample comprised the sixth, seventh and eighth grade students studying in a public middle school. In the first year of the application,…

In this article, Ajay Ramful and Siew Yin Ho explain the meaning of quantitative reasoning, describing how it is used in the to solve mathematical problems. They also describe a diagrammatic approach to represent relationships among quantities and provide examples of problems and their solutions.

This article aims at developing an art-based STEAM educational program that would help elementary school students to develop their abilities to solve scientific problems and artistic sensibilities by using an educational robot. In addition, this article investigates whether the program could be applied in the field. In order to achieve the purpose…

This article examines whether the 7 abilities found in a previous study carried out by the authors to constitute fraction understanding of sixth grade elementary school students determine hierarchical levels of fraction understanding. The 7 abilities were as follows: (a) fraction recognition, (b) definitions and mathematical explanations for…

Calibration, or the correspondence between perceived performance and actual performance, is linked to students' metacognitive and self-regulatory skills. Making students more aware of the quality of their performance is important in elementary school settings, and more so when math problems are involved. However, many students seem to be poorly…

Getting students adopt the habits of mind specific to many disciplines can be seen as an anchor that will support them to solve the problems in their daily lives. Starting from this premise, a new subject, featuring the habits of mind and how to use and improve them in educational environments seems to worth thinking on. This article describes an…

This mixed methods study examined how engagement in robotics and game design influenced students' self-efficacy, STEM attitudes, and computational thinking (CT) skills. Predominantly African-American students engaged in engineering and computer science tasks during informal learning environments. Results revealed students' self-efficacy scores on…

This paper marks the second in a series of five reports detailing the work of the Optimizing Assessment for All (OAA) project at Brookings to strengthen education systems capacity to integrate 21st century skills into teaching and learning, using assessment as a lever for changing classroom practices. Twenty-first century skills (21CS) are now…

This study investigated the role of each strategy in explaining sixth graders' (12-13 years old students') non-routine problem solving success and discriminating between successful and unsuccessful students. Twelve non-routine problems were given to 123 pupils. Answers were scored between 0 and 10. Bottom and top segments of 27% were then…

This article presents the Snail problem, a relatively simple challenge about motion that offers engaging extensions involving the notion of infinity. It encourages students in grades 5-9 to connect mathematics learning to logic, history, and philosophy through analyzing the problem, making sense of quantitative relationships, and modeling with…