This article highlights the main ideas that underlie the differences in potential pragmatic knowledge constructs students experience when solving problems, between the zone of proximal development (ZPD) and the zone of potential construction (ZPC). This qualitative research is based on a phenomenological approach to finding the meaning of things…

This research explores the possibility of providing a general guideline for the use of LEGO® SERIOUS PLAY® (LSP) in youth work and examining the experiences of the frontline youth workers in Hong Kong who have adopted LSP to engage youngsters, who have been experiencing enormous socioeconomic challenges in different aspects. A 12-session workshop…

In second language teacher education programs microteaching has always been a significant technique to help bridge theory to practice and prepare the trainees for real classroom contexts. The expected benefits from 10 to 15 minute-microteaching sessions are the communication among the trainees and supervisor, collaboration with each other, and…

This case study highlights a high school math teacher's successful journey of taking the steps needed to move away from traditional teaching methods to innovative pedagogies supporting mastery-based teaching and learning. Mastery-based learning (also called competency-based learning) is a shift away from traditional, one-size-fits-all teaching.…

While the general planning advice offered to mathematics teachers seems to be to start with simple examples and build complexity progressively, the research reported in this article is a contribution to the body of literature that argues the reverse. That is, posing of appropriately complex tasks may actually prompt the use of more sophisticated…

Proficiency in mathematics involves the seamless synchronization of conceptual understanding, procedural knowledge, computational fluency, and problem solving (NMAP, 2008). Clearly, fluency with mathematics facts is one element embedded within mathematical proficiency and important for students with disabilities to develop. As more and more…

That mathematics education has been one of the central concerns of educational systems worldwide is no secret. It is also an established consensus that as far back as eighty years ago, Russian psychologists such as Vygotsky, Luria, Meshcheryakov, and Davydov have pioneered work that contributed to the understanding of teaching and learning and…

Appreciation of problem structure is critical to successful learning. Two experiments investigated effective ways of communicating problem structure in a computer-based learning environment and tested whether verbal instruction is necessary to specify solution steps, when deep structure is already embellished by instructional examples.…

Deductive logic is essential to a complete understanding of computer science concepts, and is thus fundamental to computer science education. Intelligent tutoring systems with individualized instruction have been shown to increase learning gains. We seek to improve the way deductive logic is taught in computer science by developing an intelligent,…

This article takes a closer look at the problem of approximating the exponential and logarithmic functions using polynomials. Either as an alternative to or a precursor to Taylor polynomial approximations at the precalculus level, interpolating polynomials are considered. A measure of error is given and the behaviour of the error function is…

Algodoo (http://www.algodoo.com) is a digital sandbox for physics 2D simulations. It allows students and teachers to easily create simulated "scenes" and explore physics through a user-friendly and visually attractive interface. In this paper, we present different ways in which students and teachers can use Algodoo to visualize and solve…

Teachers across the nation are taking up the call to prepare students for new standards and assessments that require written explanations on a variety of math tasks. But what does it really mean to "explain your answer," and how do educators begin supporting students to write in a genre that is new to both students and teachers? This…

Teachers have the largest school-based influence on student learning, yet there is little research on how instructional practice is systematically distributed within tracking systems. We examine whether teaching practice varies significantly across track levels and, if so, which aspects of instructional practice differ systematically. Using…

Many instructors in science, technology, engineering, and mathematics fields are striving to create active learning environments in their classrooms and in doing so are frequently moving the lecture portion of their course into online video format. In this classroom-based study, we used a two group randomized experimental design to examine the…

We all know that they do it, but what do students laugh "about" when learning science together? Although research has shown that students do use humor when they learn science, the role of humor in science education has received little attention. In this study, undergraduate students' laughter during collaborative work in physics has been…