This article describes how sixth-grade students developed concrete models to solve division of fractions story problems. Students developed separate two-step procedures to solve measurement and partitive problems, drawing on invented procedures for division of whole numbers. Errors also tended to be specific to the type of division problem…

Problem statement: This study aims to investigate factors influencing mathematic problem-solving ability of sixth grade students. One thousand and twenty eight of sixth grade students, studying in the second semester of academic year 2007 were sampled by stratified random sampling technique. Approach: The research instruments used in the study…

The recent reauthorization and regulations of the Individuals With Disabilities Education Improvement Act (IDEA 2004) encourage the use of school-wide interventions including response to intervention (RTI; Bradley, Danielson, & Doolittle, 2007). RTI refers to a multi-tiered system that addresses the academic needs of all students by using…

TRIZ (pronounced TREES), the Russian acronym for the theory of inventive problem solving, enables a person to focus his attention on finding genuine, potential solutions in contrast to searching for ideas that "may" work through a happenstance way. It is a patent database-backed methodology that helps to reduce time spent on the problem,…

This paper outlines a theoretical perspective for studying student understandings of the concept of addition. The notion of operational sense is defined as a way to describe the notion of addition as a mathematical object, paving the way for an application of the theory of reification at this level. Previous frameworks relative to problem solving…

While previous studies have correlated career indecision with state and trait anxiety in college students, most researchers have examined the relationship between anxiety and career indecision without considering other variables. This paper, incorporating previous research on career indecision, profiles a study of a causal model of career…

Presents a problem-solving model comprised of nine generalizations derived from the methods and principles which guided the investigations of the fictional London detective, Sherlock Holmes. (EM)

Discusses the use of mathematical modeling. Describes types, examples, and importance of mathematical models. (YP)

Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)

The TRIFOCAL Model for curing underachievement syndrome is presented and is related to the Future Problem Solving (FPS) program, specifically the steps that involve changing expectations, role model identification, and changing reinforcements at school. A case study is presented of an underachieving sixth grade student who became actively engaged…

This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…

This article considers the problematic nature of primary headship. It reviews evidence of some of the most significant problems encountered by new and experienced heads derived from two sources: the UK dimension of a European questionnaire survey undertaken in the mid 1990s and more recent reports gained from interviews with serving school…

Mathematical software packages such as Polymath, MATLAB, and Mathcad are currently widely used for engineering problem solving. Applications of several of these packages to typical chemical engineering problems have been demonstrated by Cutlip, et al. The main characteristic of these packages is that they provide a "problem-solving environment…

This article allows students to apply their knowledge and experience of area and volume to find the volume of Norris Lake, a large reservoir lake in Tennessee. Students have the opportunity to demonstrate their skills in using maps and scales as well as to incorporate the use of technology in developing the solution. This project satisfied the…

This article presents the authors' critique of lessons proposed by the Partnership for 21st Century Skills (P21). The authors initiate a discussion about content that they hope will play out in schoolhouses and statehouses across the country. They take on a different task: they present a handful of lesson ideas from P21 that could enhance studies…