This paper presents the results of a 2-year longitudinal study aimed at characterizing and comparing the design cognition of high school students with and without formal engineering design experiences. The students--working as dyads--engaged in design-only sessions generating solutions in response to the same engineering design challenges. The…

Students come to their high school physics classroom with experiences and knowledge that can be used to help explain physics concepts, but those experiences may not fully align with the scientifically accepted science concept. When there is a misalignment between a student's prior knowledge and the scientifically accepted concept a misconception…

Semantic is associated with the relationship between symbol, reference, and the problem's context involved in the problem-solving process which also involves reasoning and decision-making. Hence, this study describes the characteristics of students' semantic reasoning to solve the double discounts problem. 51 high school students in Sidoarjo…

This study aims to describe the cognitive process of autism spectrum disorder (ASD) students in solving mathematical problems in order to provide recommendations towards ensuring an appropriate learning process. It was conducted qualitatively using three ASD students in senior high school in Indonesia with high, moderate, and low intelligence. The…

Students in secondary school often struggle with symbol sense, that is, the general ability to deal with symbols and to recognize the structure of algebraic formulas. Fostering symbol sense is an educational challenge. In graphing formulas by hand, defined as graphing using recognition and reasoning without technology, many aspects of symbol sense…

The purpose of this study was to describe students' thinking processes in relating quantities to the problem of covariation in the process of solving mathematical problems. This study used a descriptive exploratory approach within the scope of qualitative research involving 87 students as prospective subjects from three different high schools. The…

This paper describes the main findings of a national action-research project, promoted by Regional School Office of Campania (South of Italy), aimed at improving numeracy and mathematical literacy through supporting schools' activities. The main focus is on processes underlying the creation of capabilities in representation, reasoning and…

Engaging historiography and interpreting secondary sources represent essential elements of historians' work that have been largely ignored in favor of primary source reading in high school history classrooms in the United States. To understand whether and how students apply their historical reasoning skills to secondary sources, we asked…

The use of causal diagrams to externalize the mental representation of a problem is recognized to be an important step in solving complex problems. In geography education several global challenges taught about in class are highly complex due to the interconnectedness of many causes and consequences. A systems thinking approach might be helpful to…

This study focuses on proportional division, a specific problem type of proportions and proportional relationships, which embeds a part-part-whole relationship. We investigated how students in grades 6 to 9 solved and perceived three proportional division problems. Analysis of the students' performance on the tasks revealed three types of…

When students solve problems on the Internet, they have to find a balance between quickly scanning large sections of information in web pages and deeply processing those that are relevant for the task. We studied how high school students articulate scanning and deeper processing of information while answering questions using a Wikipedia document,…

This article reports on the explicit introduction of metacognitive strategies by an early career science teacher to support the application of mathematics skills. The research investigated the effectiveness of these strategies with three Year 11 physics students using an action research approach. Quantitative and qualitative data were collected…

By looking beyond their written products into what they do as they write, this mixed methods study offers insights into the writing process of writers who have mastered one language and those who have mastered two. It investigates the cognitive effects of bilingualism and biliteracy on the writing processes of years ten and eleven Sydney high…

The purpose of this study was to investigate the relationship between both 9th-grade and 1st-year undergraduate students' use of "look back" strategies and problem solving performance in multiple solution methods, the difference in their use of look back strategies and problem solving performance in multiple solution methods, and the…

Problem solving is not simply a process that ends when an answer is found; it is a scientific process that evolves from understanding the problem to evaluating the solution. This process is affected by several factors. Among these, one of the most substantial is belief. The purpose of this study was to evaluate the beliefs of high school students…