The purpose of this article is to demonstrate how exponential functions and patterns can be taught by well-structured lessons composed of classroom activities, mathematical questions, discussions, and solving problems. Sawyer (1943) used a rope-and-post system to introduce the concept of logarithms and to calculate a product by adding the…

This article discusses how technology, in conjunction with carefully designed tasks and orchestrated discussions, has the potential to both reveal students' mathematical practices and to provide opportunities to shape those practices. Four specific mathematical practices that tend to be associated with problem-solving situations are examined: (1)…

Based on quantitative survey data collected from an inquiry-based general chemistry laboratory course, the current study used marginal models to evaluate changes in students' teamwork and problem-solving skills, attitudes to teamwork, and willingness to explore new issues before and after the course. The results suggest that introductory-level…

Nowadays, mathematics education providing challenging, interesting, interactive and technology-oriented learning experiences to students attracts attention both in research and practice. Among those experiences, competitions, due to their role of integrating the interest and desire of students to compete in education, challenging their potentials…

Drawing on the work of Lee Shulman, this article reviews literature exploring the concept of signasture pedagogies, which are described as having have surface, deep and implicit structures. These structures are complex and changing; concerned with habits of head, hand and heart. Emerging from professional education and now being explored in STEM…

Introduction: Facility in graphics use is critical to accessing data visualizations in science, technology, engineering, the arts, and mathematics (STEAM) content areas. Efforts to understand the cognitive processes underlying strategic action by students with visual impairments must consider both metacognition and self-regulated learning.…

Designing programmed technological solutions (PTS) with programming materials has become a way to contextualise educational content related to PTS and programming. However, studies show that pupils have difficulties conceptualising central phenomena involved in the process, which affects their ability to design PTS. In order to understand these…

Introducing kindergarten children to the engineering design process (EDP) is an important objective of early STEM education. Studies indicate that children often miss the crucial steps of testing and optimising during the EDP and do not persist in making solutions better. The present study explores how children's goal awareness, self-evaluation…

Mathematical problems can be divided into two types, namely, process-open and process-constrained problems. Solving these two types of problems may require different cognitive mechanisms. However, there has been only one study that investigated the differences of the cognitive abilities in process-open and process-constrained problem solving, and…

Many students who experience difficulty with mathematics may also require behavioral support. We suggest educators create an appropriate scope and sequence for mathematics intervention by focusing on the critical mathematics content. Educators can then design the intervention with a common session structure. Finally, educators can embed and…

Successful math word-problem solving is difficult for some students. Getting the right answer involves students engaging correctly in an amalgamation of actions. Schema instruction is an instructional approach aimed at supporting students in identifying the underlying math problem structure to yield an appropriate solution plan. The focus of this…

Creative problem-solving has been identified as one of the most critical future-proof skillsets we can develop in our society. When educating future designers, entrepreneurship skills are now considered essential; however, designers find it difficult to establish themselves as entrepreneurs. Therefore, graduate designers are increasingly in need…

Language skills play an important role in mathematics development. Students (7 to 10 years of age) learning school mathematics either in the same language used at home (first-language learners; n = 103) or in a different language (second-language learners; n = 57) participated in the study. Relations among cognitive skills (i.e., receptive…

The purpose of the study was to explore how contents related to sustainable development were presented in Japanese, Korean, and Singaporean elementary mathematics textbooks. For this purpose, the contents in the textbooks were analyzed at both macro and micro levels through a mixed method research. The results showed that the…

In this integrative, team-based capstone project, students in an upper year Tectonics course built a planet of their own design from the basic concepts of plate tectonics. They created a tectonic map complete with plate boundaries, continental-ocean boundaries, motion vectors, and hot spot traces. In subsequent weeks, students produced a geologic…