Responses of 138 third and fourth graders to failures and successes in mathematics computation were studied in 4 experimental conditions varied by social learning context and modeling. The collaborative learning context increased student persistence after failure and dynamism after success, and modeling increased persistence and dynamism in an…

This article connects three disciplines while exploring how students computed tons of food consumed by both locusts and people. Included with this article are two worksheets "How Much Does a Locust Eat?" and "Can You Eat Those Locusts?". (Contains 3 figures.)

In this article, we formulate a nonlinear structural equation model (SEM) that can accommodate covariates in the measurement equation and nonlinear terms of covariates and exogenous latent variables in the structural equation. The covariates can come from continuous or discrete distributions. A Bayesian approach is developed to analyze the…

The learning difficulties for new entrant chemistry students from a multi-national, regional, tertiary education institution in the South Pacific were investigated using a purpose-designed diagnostic instrument. The instrument contained 25 items distributed across three themes: scientific reasoning, numeracy and scientific language literacy. The…

This study compared the involvement of American and Chinese mothers in their 5- and 7-year-old children's number learning in their everyday experience and during mother-child interaction on mathematics tasks pertaining to proportional reasoning. Results indicated that Chinese mothers of both the 5- and 7-year-old children were more likely to teach…

This article presents an in-class Monte Carlo demonstration, designed to demonstrate to students the implications of multicollinearity in a multiple regression study. In the demonstration, students already familiar with multiple regression concepts are presented with a scenario in which the "true" relationship between the response and…

This paper proposes a methodology to calculate both the difficulty of the basic problems and the difficulty of solving a problem. The method to calculate the difficulty of problem is according to the process of constructing a problem, including Concept Selection, Unknown Designation, and Proposition Construction. Some necessary measures observed…

What is an adequate education and how much does it cost? In 1989, Kentucky's State Supreme Court found the entire system of education unconstitutional--"all of its parts and parcels". The Court called for all children to have access to an adequate education, one that is uniform and has as its goal the development of seven capacities,…

Problem solving continues to be a major focus of K-12 mathematics education reform. This case study shows how a teacher's middle school mathematics instruction evolved from teaching problem solving as computation exercises to teaching how to select and implement combinations of problem solving strategies. The teacher's thinking about problem…

This article defines "higher level mathematical skills" and details an important class: that of "constructing instances" of mathematical objects satisfying certain properties. Comment is made on the frequency of higher level tasks in undergraduate work. We explain how such questions may be assessed "in practice" without the imposition on staff of…

Enzyme kinetics is a difficult subject for students to learn and for tutors to teach. During the practicals included in the biochemical courses at the Faculty of Chemistry of Universidad Nacional Autonoma de Mexico, we found that the students acquire good training in the calculations to obtain kinetic parameters such as K[subscript m], V[subscript…

This article discusses how children learn to understand the decimal system in very concrete ways, while having fun using beads. When counting the beads, the children learn 5,491 is not simply "five thousand four hundred and ninety-one" but actually 5 thousands, 4 hundreds, 9 tens, and 1 unit. They begin to understand that as they get 10 units,…

This microgenetic study investigated similarities and differences in use and discovery of addition strategies in children with and without mild mental retardation across 24 sessions. Nine children with mild mental retardation in third through fifth grade classrooms and 14 children without mental retardation in kindergarten classrooms were tested…

A flexible one-output and two-input cost function is estimated for the degree program offerings of public and private higher educational institutions (HEIs) of the Philippines, employing the data from a nationally representative sample of 29 HEIs. This model, called Flexible Fixed Cost Quadratic cost function includes as output--full time…

A major advance in the field of reading over the past 15 years has been the development and validation of screening measures that can detect with reasonable accuracy those kindergartners and first graders likely to experience difficulty in learning to read. Increasingly, these students now receive additional instructional support during the…