The proceedings of the 18th edition of Latin American Conference on Learning Technologies (LACLO) demonstrates the developments in the research of learning science, learning resources, challenges and solutions. This Proceedings book showcases a collection of quality articles that explores and discusses trending topics in education in the upcoming…

In this article, I consider relationships between creativity and ethics, and how they apply in society. I argue that ethical reasoning requires creative thinking at various junctures. I present an 8-step model of ethical reasoning, delineating how creativity can be applied at various steps. Finally, I draw conclusions about how the model can be…

There has been an emphasis in some science courses to focus more on teaching conceptual knowledge. Though certain innovations have been successful in increasing student conceptual knowledge, performance on quantitative problem-solving tasks often remains unaffected. Research also shows that students tend to maintain conceptual and quantitative…

This article describes what is often referred to as the dog, beetle, mice, ant, or turtle problem. Solutions to this problem exist, some being variations of each other, which involve mathematics of a wide range of complexity. Herein, the authors describe the intuitive solution and the calculus solution and then offer a completely new solution…

"Instant Insanity II" is a sliding mechanical puzzle whose solution requires the special alignment of 16 colored tiles. We count the number of solutions of the puzzle's classic challenge and show that the more difficult ultimate challenge has, up to row permutation, exactly two solutions, and further show that no…

Background/Context: Over the past several decades, the structure of school segregation has changed significantly. In the past, students from different racial and ethnic backgrounds tended to be separated into different buildings within school districts; increasingly, however, students from different racial and ethnic backgrounds are likely to be…

In an era of unprecedented volatility, ambiguity, impassioned conflict, and intractable problems that affect the basic living conditions and prosperity of many, education has never been more important or more in need of purpose, meaning, and applicability. The solutions to the dilemmas that define our world will be created and implemented in the…

This paper argues that action research finds a rationale in the pragmatic position that knowledge is provisional and generated through a transaction between agent and environment. Action research finds a further methodological rationale in the pragmatic view that knowledge is generated within indeterminate situations, requires habits of reflection…

In their years of teaching geometry, Wong and Bukalov realized that the greatest challenge has been getting students to improve their reasoning. Many students have difficulty writing formal proofs--a task that requires a good deal of reasoning. Wong and Bukalov reasoned that the solution was to divide the lessons into parallel tasks, allowing…

In this paper, we investigate which aspects are overriding in the concept images of monotonicity of Finnish tertiary mathematics students, i.e., on which aspects of monotonicity they base their argument in different types of exercises related to that concept. Further, we examine the relationship between the quality of principal aspects and the…

An experiment with a mechanical black box containing unknown masses is presented. The experiment involves the determination of these masses and their locations by performing some nondestructive tests. The set-ups are inexpensive and easy to fabricate. They are very useful to gain an understanding of some well-known principles of mechanics.

The purpose of this study is to develop a better understanding of technologies that use natural language as the basis for concept map construction. In particular, this study focuses on the semantic relation (SR) approach to drawing rich and authentic concept maps that reflect students' internal representations of a problem situation. The…

Pythagoras Theorem is an old mathematical treatise that has traversed the school curricula from secondary to tertiary levels. The patterns it produced are quite interesting that many researchers have tried to generate a kind of predictive approach to identifying triples. Two attempts, namely Diophantine equation and Brahmagupta trapezium presented…

We use epistemological framing to interpret participants' behavior during group problem-solving sessions in an intermediate mechanics course. We are interested in how students frame discussion and in how the groups shift discussion framings. Our analysis includes two framing axes, expansive vs narrow and serious vs silly, which together…

Starting with the fundamental and general criterion for a spontaneous process in thermodynamics, delta S[subscript tot] greater than or equal to 0, we review its relationships to other criteria, such as delta A and delta G, that have limitations. The details of these limitations, which can be easily overlooked, are carefully explicated. We also…