Purpose: The most important element in Problem Based Learning (PBL) that has a significant place in science education is the structure of the problem. Even though it seems easy to formulate the problem that is suitable for this approach at first glance, it is rather difficult to find the problem that will meet the purposes of education. When…

This professional practice paper is underpinned philosophically by the indisputable centrality of proof to the discipline of mathematics. Proof offers students the opportunity to deepen their own understanding of mathematical ideas, to construct and defend logical arguments, and to think critically about the veracity of mathematical statements.…

Breakout boxes are similar to the escape rooms that have popped up all over the country in the past few years. In an escape room, you and your friends are locked in a room and given a scenario and a time limit. You must work together to solve a number of puzzles to get out of the room before time runs out. Breakout boxes center around boxes, each…

The aim of this work is to examine pre-architects' use of metaphorical reasoning as a tool for design problem solving exercises in an unfamiliar environment. It is to improve their sense of place, which helps to identify and capture design concepts, as well as define goals and requirements. Regarding the three metaphorical reasoning operations of…

Undergraduate students taking the Material and Energy Balance course often comment on (a) having a desire to know more about what kinds of problems chemical engineers working in industry address; and (b) feeling that in-class examples and homework problems do not address real-world problems. This case study, used in the Material and Energy Balance…

This study investigates an exploratory teaching style used in an undergraduate geometry course to help students identify an ellipse. We attempt to probe beneath the surface of exploration to understand how the actions of teachers can contribute to developing students' competence in justifying an ellipse. We analyse the complex interactions between…

Problem posing in mathematics education is one of the most important skills. Since mathematics teachers are one of the most important parts of mathematics education and teaching, this research was conducted to evaluate their views on this important skill and the implementation process. The research was carried out by 56 mathematics teachers…

A successful instructional method is to engage learners with exploratory problem-solving before providing explanations of the canonical solutions and foundational concepts. A key question is whether and what type of guidance will lead learners to explore more productively and how this guidance will affect subsequent learning and transfer. We…

In this brief article, the author illustrates the flaws of FOIL (multiply the First, Outer, Inner, and Last terms of two binomials) and introduces the box method. Much like FOIL, the box method can become easy to use. Unlike FOIL, however, the box method is a more direct and visible link to using the distributive property to determine area, a…

The purpose of this mixed methods study was to determine how teachers use questioning techniques in their mathematics classrooms and if teacher questioning techniques correlate with student achievement in mathematics. As pacing and rigor increase and students learning styles vary, schools are challenged with finding new ways to make connections…

Thematic learning is considered as efficient as the students taught learn in coherent context and holistic way, as well as associate the concepts they learnt with their surrounding and real-life examples. The aim of the study was to identify the effectiveness of the problem-based thematic learning module prototype to improve students' critical…

The development of a student's ability to make data-driven decisions has become a focus in higher education (Schield 1999; Stephenson and Caravello 2007). Data literacy, the ability to understand and use data to effectively inform decisions, is a fundamental component of information competence (Mandinach and Gummer 2013; Stephenson and Caravello,…

Visual problem solving is essential to highly visual and knowledge-intensive professional domains such as clinical pathology, which trainees learn by participating in relevant tasks at the workplace (apprenticeship). Proper guidance of the visual problem solving of apprentices by the master is necessary. Interaction and adaptation to the expertise…

One way to ease the solution of physics problems is to visualize the situation. However, by visualization we do not mean the pictorial representation of the problem. Instead, we mean a sketch for the solution of the problem. In this paper a new approach to solving physics problems, based on decomposing the problem into with and without gravity, is…

A new visual representation for insight problems permits 22 new quantitative measures; which leads to a detailed diagnosis of a person's (or team's) creative weaknesses; which then leads to prescribing targeted, effective counter-techniques for each weakness. Currently, only two measures are consistently used for insight problem solving: the…