In this study we investigated how 200 students in seventh grade (mean age = 12.38 years) solved simple addition problems and if the way they performed simple addition was related to their achievement in mathematics. Four performance groups were identified: proficient, almost proficient, inaccurate min counting and accurate min counting. More than…

Transfer of learning, the application of learning to different contexts over time, is important to all learning for development. As 21st century skills specifically aim to be "generic," there is an assumption that they can be transferred from context to context. We investigate the process of transfer in problem solving, with specific…

This article presents a possible framework for the cooperation of mathematics and physics education research domains. Moreover, the potential topics for such a scientific collaboration are explained by means of a structuring qualitative content analysis of current handbooks and conference proceedings in Germany and Vietnam. These topics can form a…

This study determined perspectives of students and their teachers regarding ideal mathematics teaching using questionnaires. The sample included 2437 Taiwanese and 1141 Chinese senior high school students and their mathematics teachers. Exploratory, confirmatory, and multigroup confirmatory factor analysis were conducted to determine the factors…

Active Learning Strategy is a significant and effective learning approach to ensure student engagement in learning sessions and enhancing understanding of the contents. Active learning with high motivation and deep learning will encourage students to plan, monitor and to evaluate the learning process and manage thought activities. This…

The Common Core State Standards articulate expectations for student participation in mathematical reasoning, sense making, and discussion. Yet little to no research explores the participation of students with autism in these practices. Drawing on neurodiversity and situated sociocultural theory, this article offers a case study of the mathematics…

Malaysian Ministry of Education (MOE) has created initiatives in the Malaysian Education Blueprint (2013- 2025 that aim to increase teachers' and students' competencies in Science, Technology, Engineering and Mathematics (STEM) subjects and create learning experiences that will prepare students for the considerable array of STEM career fields.…

Why encourage children to play board games? In the increasing disconnect of our digital lives, playing games provides a way to connect and relate with others on a human level. Strategy and role-playing games provide intellectual challenges and stretch creativity to keep the gifted mind engaged in solving problems. At the same time, the players…

The new curriculum (K13) requires a teacher to develop students' ability in order to learn and fully understand Mathematics. The important abilities needed for a student in understanding Mathematics are the creative thinking and self-confidence. The certain study is essential in order to enhance students' ability of mathematical creative thinking…

In reviewing the six articles within this "Instructional Science" special issue, we are reminded of Schoenfeld's ("Educ Res" 45(2):105-111, 2016) review of American Educational Research Association president-authored papers for the centennial celebration of AERA. There, he succinctly unveiled the content focus of AERA research…

Ordinary Differential Equations I, is one of the core courses for science and engineering majors. Practical problem solving in science and engineering programs require proficiency in mathematics. Improving student performance and retention in mathematics classes requires inventive approaches. At the University of Central Florida (UCF) the…

The aim of this study is to find out whether there is a connection between teacher's request and guidance for written explanation and third-graders' achievements in solving a non-standard problem. Pupils' task was to solve a simplified arithmagon and to explain their solution. The lessons of seven teachers were recorded and their actions were…

Effective collaboration between student peers is not spontaneous. A system that can measure collaboration in real-time may be useful, as it could alert an instructor to pairs that need help in collaborating effectively. We tested whether superficial measures of speech and user interface actions would suffice for measuring collaboration. Pairs of…

Knowledge representations that result from practicing problem solving can be expected to differ from knowledge representations that emerge from explicit verbalizing of principles and rules. We examined the degree to which the two types of learning improve problem-solving knowledge and verbal explanation knowledge in classroom instruction. We…

The vision of mathematics learning advocated by the National Council of Teachers of Mathematics (NCTM) for twenty-five years (1989, 1991, 2000, 2014) positions students as active learners, constructing their knowledge of mathematics through exploration, discussion, and reflection. World-class standards put into place by states and provinces over…