Reports case studies using personal construct psychology and the logic of fuzzy sets to elucidate the content and organization of two elementary school teachers' knowledge of fractions and mathematical pedagogy. Results identified four personal constructions that affected classroom events; knowledge of fractions, general pedagogical knowledge,…

Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…

Discusses results of an action research study of second-grade students' group work which indicated that, when students were not given sample solutions for problems, they were more likely to use higher order thinking, take ownership of strategies, discuss solutions longer, and be more accepting of other views. (MKR)

The problem-of-the-week (POW) and problem-solving class openers are exemplified as methods for the integration of course-relevant problem solving into a first-year algebra classroom without sacrificing time spent on developing skills and learning concepts. Illustrated examples, as well as problem sources, are included. (JJK)

"Principles and Standards for School Mathematics" states that in the middle grades "measurement concepts and skills can be developed and used throughout the school year rather than treated exclusively as a separate unit of study" (National Council of Teachers of Mathematics 200, p. 241). This article describes a collaborative activity that…

This study used a diagnostic testing approach to compare the mathematics achievement of eighth-grade students across a sample of 20 countries, analyzing data from the Third International Math and Science Study-Revised (TIMSS-R, 1999). Using the rule-space method, student mastery was measured on 23 specific content knowledge and processing…

Many students doubt that statistical distributions are of practical value. Simulation makes it possible for students to tackle challenging, understandable projects that illustrate how distributions can be used to answer "what-if" questions of the type often posed by analysts. Course materials that have been developed over two years of classroom…

This book contains a compilation of papers presented at the International Conference on Education and New Developments (END 2017), organized by the World Institute for Advanced Research and Science (W.I.A.R.S.). Education, in our contemporary world, is a right since we are born. Every experience has a formative effect on the constitution of the…

Examined the problem-solving strategies of above average students (n=42) in grades 2-4 on problems involving forgotten or new material while practicing arithmetic with a computer. Identified the different problem-solving strategies used, sorted them into categories, and illustrated them with examples from students' protocols. Made suggestions for…

Describes the structure and content of SummerMath for Teachers, an experimental mathematics course designed to help inservice teachers become mathematical thinkers. The course was organized around mathematical explorations and focused on mathematical processes. Includes excerpts from teachers' journals. (Contains 17 references.) (MKR)

This article synthesizes some of the published literature that selectively compares the cognitive functioning of children with math disabilities (MDs) with average-achieving children and poor readers (children with reading disabilities [RDs] or comorbid disabilities [RDs + MDs]). All studies in the synthesis report reading, IQ, and math scores for…

A WebQuest is an inquiry-based lesson plan that uses the Internet. This article explains what a WebQuest is, shows how to create one, and provides an example. When engaged in a WebQuest, students use technology to experience cooperative learning and discovery learning while honing their research, writing, and presentation skills. It has been found…

This article explains the need for comprehensive education in problem solving in primary and secondary schools. The article then describes strategies for providing comprehensive education in problem solving. These strategies include embedding problem solving training in classes across the curriculum and making minor adjustments to current efforts…

The boundary element method provides an excellent platform for learning and teaching a computational method for solving problems in physical and engineering science. However, it is often left out in many undergraduate courses as its implementation is deemed to be difficult. This is partly due to the perception that coding the method requires…

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…