The presented article is dedicated to a new way of teaching substitution in algebra. In order to effectively master the subject matter, it is necessary for students to perceive the equal sign equivalently, to learn to manipulate expressions as objects, and to perceive and use transformations based on defining their own equivalences. According to…

To learn content knowledge in science, technology, engineering, and math domains, students need to make connections among visual representations. This article considers two kinds of connection-making skills: (1) "sense-making skills" that allow students to verbally explain mappings among representations and (2) "perceptual…

MathCheck is a relatively new online tool that gives students feedback on their solutions to elementary university mathematics and theoretical computer science exercises. MathCheck was designed with constructivism learning theory in mind and it differs from other online tools as it checks the solutions step by step and shows a counter-example if…

This study explores kindergarten students' early notions of mathematical equivalence in the United States. In particular, it uses qualitative methods to examine the understandings children hold about the equal sign prior to formal instruction and how these understandings shift throughout an 8-week classroom teaching experiment designed to develop…

The timing of moves can dramatically affect firm profits and market outcomes. When firms choose output quantities, there is a first-mover advantage, and when firms choose prices, there is a second-mover advantage. Students often find it difficult to understand the differences between these two situations. This classroom experiment simulates each…

According to the views of social constructivism, learning takes place when individuals engage socially to talk about and act on shared problems or interests. In recent years, this approach has been very popular for the teaching and learning of mathematics in primary and secondary education. On the contrary, in tertiary education, it seems that…

In this classroom experiment, students see how low bank equity requirements can interact with deposit insurance to encourage excessive risk-taking. The experiment fills a niche Admati and Hellwig (2013) have noted: citizens in a democracy must understand why bank owners argue for low equity requirements and why society as a whole is better off…

Pre-service teachers need to develop habits of mind that allow them to grow as new teachers. This article describes an elementary mathematics methods course in which teaching as an experiment was used a framework for pre-service teachers to participate in action research by developing learning goals, observing and analyzing student thinking,…

Using a students' workshop as a laboratory, this article summarises the observation of three years' implementation of a new study module for a Bachelor Program in Engineering Design (Interior and Furniture Design) at the University of Forestry, Sofia, Bulgaria. The article offers an analysis of group dynamics and the difficulties and issues…

Adults adopt the traits of characters in narratives, but little is known about whether children do so. In Study 1, 7- and 10-year-olds (N = 96) heard a 2.5-minute recording about a professor or cheerleader. Reporting higher engagement in the professor narrative related to more time playing with an analytical toy (a Rubik's cube), whereas reporting…

This paper explores the ways students perceive the transfer of learned knowledge to new situations -- often a surprisingly difficult prospect. The novel aspect compared to the traditional transfer studies is that the learning phase is not a part of the experiment itself. The intention was only to activate acquired knowledge relevant to the…

A promising instructional approach corresponds to" learning by observing others learn" (i.e., by watching tutorial dialogue between a tutor and tutee). However, more work is needed to understand this approach's pedagogical utility. Thus, in 2 experiments we compared student learning from collaborative observation of dialogue with 2 other…

Research indicates that students find open educational resources (OER) favorable, but there is no research regarding students' perceptions of faculty who use open textbooks. In the present study we examined this topic experimentally with two undergraduate psychology courses at a small public university. Participants read two passages--one about an…

This teaching experiment provided students with continuous engagement in a problem-solving based instructional approach during one mathematics unit. Three sections of sixth-grade mathematics were sampled from a school in Florida, U.S.A. and one section was randomly assigned to experience teaching through problem solving. Students' problem-solving…

It is a challenge for business students or even employees to understand business processes and enterprise software usage without involvement in real-world practices. Many business schools are using ERP software in their curriculum, aiming to expose students to real-world business practices. ERPsim is an Enterprise Resource Planning (ERP)…