Non-exact replications are regarded as effective tools of problem solving in psycholinguistic research because they lead to more plausible experimental results; however, they are also ineffective tools of problem solving because they trigger cumulative contradictions among different replications of an experiment. This paper intends to resolve this…

Besides "thinking outside the box," the creativity needed to solve problems often involves thinking differently about the box, finding a new approach or off-beat way to use the materials, conditions, and even constraints that one has. Spencer discusses creative constraint--what happens when a problem solver runs into barriers that make…

Since the introduction of brainstorming as an idea-generation technique to address organizational problems, researchers have struggled to replicate some of the claims around the technique. One major concern has been the differences in the number of ideas generated between established groups as found in industry versus the non-established groups…

Spreadsheets provide a rich setting for first-year algebra students to solve problems. Individual spreadsheet cells play the role of variables, and creating algebraic expressions for a spreadsheet to perform a task allows students to achieve a glimpse of how mathematics is used to program a computer and solve problems. Classic optimization…

STEAM, where the "A" represents arts and humanities, is considered a transdisciplinary learning process that has the potential to increase diverse participation in science, technology, engineering, and math (STEM) fields. However, a well-defined conceptual model that clearly articulates essential components of the STEAM approach is…

Conducting classroom-based research can be difficult, often fraught with challenges, analogous to riding a canoe down the rapids. The dynamics of classroom-based research often require flexibility on the parts of both the researcher and school personnel. Classroom-based research is viewed here through a framework of problem-based methodology as…

In this writing, I report on how two 12-year old children used fraction strips to add 1/2 and 2/5. In their interaction with the tool, I look for the emergence of the tool-mediated Zone of Proximal Development to analyse the knowing that become available to the children. In thinking about this interaction, I ask what is the role of the more…

Extreme Learning Machine (ELM) is a training algorithm for Single-Layer Feed-forward Neural Network (SLFN). The difference in theory of ELM from other training algorithms is in the existence of explicitly-given solution due to the immutability of initialed weights. In practice, ELMs achieve performance similar to that of other state-of-the-art…

This research is included into development research type. This research uses a 4-D model (define, design, develop, and disseminate) Thiagarajan, Semmel, and Semmel. This research is organized by learning media and instruments, namely: the student's handbook, the teacher's handbook, lesson plan, the student's exercise sheet, the student's…

Problem posing is a learning approach that trains students to be able to process and communicate mathematical problems based on information obtained. This study aims to describe the ability of high school students to pose problems on the topic of the system of linear equations in two variables (SLETV). This study used a quantitative descriptive…

Remarks adapted from presentation: "Disrupting Law, Reclaiming Justice," a Conversation on Gillian Hadfield's "Rules for a Flat World" on October 8, 2018 at Creighton University. Despite the advancement in the ADR movement, there is much work to be done for justice to be accessible to "All." The legal profession…

In this paper we present two simulations designed with GeoGebra that illustrate dynamically a key concept in Vector Calculus: line integrals of vector fields, along with other associated mathematical properties and applications. Students are not required to know the GeoGebra environment: a user-friendly interface with buttons, functionalities and…

Collaborative problem solving (CPS) ranks among the top five most critical skills necessary for college graduates to meet workforce demands (Hart Research Associates, 2015). It is also deemed a critical skill for educational success (Beaver, 2013). It thus deserves more prominence in the suite of courses and subjects assessed in K-16. Such…

A key aim of mathematics teaching is for children to develop appropriate and efficient strategies for solving tasks. The analysis presented in this paper moves beyond the exploration of changes in the strategies that children employ to solve tasks and extends to observation and exploration of changes that occur when their overall solving approach…

Mathematical reasoning with algebraic and geometric representations is essential for success in upperdivision and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations. By designing a task for middle-division physics students to translate a geometric representation to…