Teaching quantum physics (QP) to high school (HS) students is gaining momentum, necessitating the exploration of various effective methods. Specifically, the research on quantitative teaching methods is still in its early stages. Understanding the power of Dirac notation (DN) in teaching is crucial for grasping the complexities of QP, as it…

The effectiveness of teaching strategies in improving student achievement in mathematics has been a topic of ongoing research. In Kosovo, vocational schools, especially those with an economics focus, face challenges in student engagement and achievement in mathematics, particularly in solving contextual problems related to economics. This study…

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

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,…

The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students' mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric…

Problem solving is considered one of the most critical competencies for life. However, many students may perform well in school yet cannot transfer the skills they learned in school to solve real-world problems, especially in science education. This study discusses the characteristics of the problem from the physics education perspective, based on…

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…

Peter Dunn and Margaret Marshman present the second of their data files articles in which they discuss the statistical investigation cycle which describes the whole process of conducting a statistical research study. [For "The Data Files: A Series of Articles to Support Mathematics Teachers to Teach Statistics," see EJ1259108.]

Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…

A qualitative study focusing on arts-based learning in Israel education was conducted at a community Jewish high school in North America. Building on studies that have shown students are able to simultaneously love and critique Israel, the purpose of the study was to assess whether producing creative work led to creative solutions to contemporary…

This study examined how Year 12 students use their inquiry skills in solving conditional probability questions by means of Inquiry-Based Learning application. The participants consisted of 66 students of similar academic abilities in Mathematics, selected from three classes, along with their respective teachers. Observational rubric and lesson…

The purpose of this paper is to present a conceptual framework for diagnosing teaching difficulties of a science topic in the science classroom. The development of the framework is presented as well as descriptions of the features of the framework. How the framework can be used is also elaborated? Furthermore, there is a detailed indication of an…

This book represents a crop of wide-ranging research conducted by renown scholars in sub-Sahara Africa revolving around mathematics teaching and professional development programs for mathematics teachers. The research-based proposals and actual how-to-conduct professional development initiatives that enhance effective mathematics instruction are…

When confronted with a challenging problem, many solvers may at first think that not enough information has been provided. If, however, they suspect that the problem is solvable, this feeling typically influences them to persevere as well as monitor and reflect on their efforts. In this article the authors present four nonroutine tasks that they…

What if you could challenge your 12th graders to understand car crashes in the context of physical forces, manufacturing challenges, government safety standards, and individual rights? With this volume in the "STEM Road Map Curriculum Series," you can! "Car Crashes" outlines a journey that will steer your students toward…