Boaler (2016) asserted that problem posing is the "essence of real mathematics", yet many students do not have opportunities to pose and then solve their own mathematical questions. Rather, students spend their time solving tasks someone else posed--often their teacher or textbook. To promote problem posing, the author designed,…

In this article, we draw on sociocultural perspectives on literacy to explore the ways in which pre-engineering students took up and made sense of engineering notebooks implemented as part of a robotics project in a first-semester university study course at a large, public Hispanic-Serving Institution. Through ethnographic methods, we uncovered…

In engineering, kinematics is widely regarded as a fundamental topic with the literature agreeing that students possess a wide range in understanding of the topic. This study aims to take a second-order approach by understanding and exploring the qualitatively different ways in which students approach solving kinematics problems. Phenomenography…

This study links the teaching practice of productive struggle, a psychological perspective of classroom activities, and the classroom microculture, an interactionist perspective that combines sociocultural and psychological considerations (Cobb & Yackel, 1996). The research question for this study is: "In what ways does a teacher…

Laboratory safety is a vital part of a chemical education and can be incorporated into courses throughout the chemistry curriculum. Discussions of laboratory safety can serve as an introduction to the important field of green chemistry. Exposure to this field can better prepare students for safer and more sustainable laboratory practices in…

Climate change is a 'super-wicked' problem associated with challenges including food security, mass migration and biodiversity loss. Young people are increasingly expecting their university education to prepare them to address these challenges. This requires universities to go beyond scientific accounts of climate change, and to engage students in…

Problem-solving is considered one of the thinking skills that must be possessed in 21st-century education because problem-solving skills are required to solve all problems that arise. The problem-solving stages that can be used are Polya's four steps, namely, understanding the problem, devising a plan, carrying out the plan, and looking back.…

The research aimed to analyze the students' abilities in solving realistic mathematics problems using "What-If"-Ethnomathematics Instruments with content focused on plane and space materials. The "What-If"-Ethnomathematics instruments are instruments that enable educators to analyze various errors and obstacles experienced by…

An important step in learning to use math in science is learning to see symbolic equations not just as calculational tools, but as ways of expressing fundamental relationships among physical quantities, of coding conceptual information, and of organizing physics knowledge structures. In this paper, I propose "anchor equations" as a…

Teaching job-related problem-solving skills may increase the likelihood that individuals with developmental disabilities obtain and maintain employment (Kaye et al., 2011; Peck & Kirkbride, 2001; Unger, 2002). In this study, we evaluated the use of electronic-based flowcharts on an iPod Touch as a form of self-instruction to increase problem…

Instructional principles gleaned from cognitive science play a critical role in improving classroom teaching. This study examines how three cognitive instructional principles including worked examples, representations, and deep questions are used in eight experienced elementary teachers' early algebra lessons in the U.S. Based on the analysis of…

International comparative studies on mathematics teaching and learning often provide unitary and harmonious images of classroom practices. This paper aims to complement those studies by describing the complex aspects of those practices. Adopting activity theory as a framework, this paper considers classroom teaching and learning of mathematics as…

Mathematics curricula have traditionally focused on content knowledge, often in the form of a scope and sequence of increasingly difficult mathematics. The importance of using and applying mathematics is recognised in the current Australian Curriculum Mathematics (AC: M) as 'proficiencies' that are intended to be integrated with the content. There…

Real Engagement in Active Problem Solving (REAPS) is an evidence-based model for building on and extending the characteristics of gifted learners, enabling them to develop their exceptional talents. The purposes of this study were to (a) identify teachers who implemented the method at a high level of fidelity and (b) describe their ways of…

Lines and angles are essential for students because of geometry and its many applications in daily life. However, there are still many students who have difficulty grasping the material. Therefore, it is necessary to design learning using the right approach, context, and media. This study aims to produce a learning trajectory that can assist…