Tzur and Simon (2004) postulated two stages of concept development, participatory and anticipatory. The distinction between the two stages was exemplified by what they termed "the next-day phenomenon" in which learners who could solve a task one day in the context of the activity through which they made the abstraction, could not solve…

Research on problem solving typically does not address tasks that involve following detailed and/or illustrated step-by-step instructions. Such tasks are not seen as cognitively challenging problems to be solved. In this paper, we challenge this assumption by analyzing verbal protocols collected during an Origami folding task. Participants…

This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context,…

The aim of this study is to reveal the benefits gained from "Special Training Methods II" course and the problems prospective mathematics teachers encountered with it. The case study method was used in the study. The participants in the study were 34 prospective mathematics teachers studying at a Primary School Mathematics Education…

Instructional strategies can be helpful in facilitating students' knowledge construction and developing advanced cognitive skills. In the context of collaborative learning, instructional strategies as scripts can guide learners to engage in more meaningful interaction. Previous studies have been investigated the benefits of different instructional…

We identify five reasons why it is important for at-risk students to learn and be able to apply Creative Problem Solving (CPS). CPS builds on both creative and critical thinking (in harmony with each other). The CPS Version 6.1™ framework incorporates guidelines and specific tools for generating ideas ("creative" thinking) and focusing…

Many studies have shown benefits associated with engaging students in problem-solving activities prior to administering lessons. These problem-solving activities are assumed to activate relevant knowledge and allow students to develop some initial knowledge structures, which support understanding of the lesson. In this paper we report the results…

The opportunities for meaningful classroom learning activities are everywhere. In this article, we explain some of the little known, widespread, horrific issues associated with one aspect of the pet trade. By the time they reach high school age, many students have personally experienced the end result of the deplorable business practices on which…

This article presents a new contract negotiation and drafting exercise designed for undergraduate and graduate business students in a business law or legal environment of business survey course. Structured as an asset purchase and sale agreement involving a small business with intangible social media and intellectual property assets in a…

Being able to find the correct answer to a math problem does not always indicate solid mathematics mastery. A student who knows how to apply the basic algorithms can correctly solve problems without understanding the relationships between numbers or why the algorithms work. The Common Core standards require that students actually understand…

Physical computing covers the design and realization of interactive objects and installations and allows students to develop concrete, tangible products of the real world, which arise from the learners' imagination. This can be used in computer science education to provide students with interesting and motivating access to the different topic…

The rapid growth of digital technology, including the worldwide adoption of mobile and embedded computers, places new demands on K-grade 12 educators and their students. Young people should have an opportunity to learn the technical knowledge of computer science (e.g., computer programming, mathematical logic, and discrete mathematics) in order to…

The development of generic skills is a focal issue in education policy and school curriculum reform across countries. This study in the Hong Kong context explores the sources of formal and non-formal curriculum and learning activities related to senior secondary students' perceptions of learning outcomes in creativity, communication, and problem…

This study is based on a Task Design and Analysis activity from a year-long professional development program. The activity was designed to increase teacher growth in several areas, including knowledge of mathematics, understanding of students' cognitive activity, knowledge of good questions, and ability to develop and improve high quality tasks.…

Problem solving is often challenging for students because they do not understand the problem-solving process (PSP). This study presents a three-stage, context-based, problem-solving, learning activity that involves watching detective films, constructing a context-simulation activity, and introducing a project design to enable students to construct…