The risk of individual citizen's investment in education specifically refers to the benefit changeability of individual investment in education. Risks always go with uncertainty. By adopting the method of quantile regression estimation and taking the Chinese urban citizens as samples, the author makes a positivist study of the risk of Chinese…

This study examines one child's use of computational procedures over a period of 3 years in an urban elementary school where teachers were using a standards-based curriculum. From a sociocultural perspective, the use of standard algorithms to solve mathematical problems is viewed as a cultural tool that both enables and constrains particular…

The authors surveyed 738 college students aged 18 to 27 years to assess over weight, obesity, dietary habits, and physical activity. They used BMI (body mass index) [greater than or equal to] 25 kg/m[squared] or BMI [greater than or equal to] 85th percentile and BMI [greater than or equal to] 30 kg/m[squared] or BMI [greater than or equal to] 95th…

There is no common agreement on the meaning of the word "understand". However, there is agreement on what students should be able to do with material they understand. Bloom et al. discuss kinds of tasks a student should be able to do, provided that the student understands. In a similar way, Biggs and Collis provide a taxonomy intended to evaluate…

Unfolding response models, a class of item response theory (IRT) models that assume a unimodal item response function (IRF), are often used for the measurement of attitudes. Verhelst and Verstralen (1993)and Andrich and Luo (1993) independently developed unfolding response models by relating the observed responses to a more common monotone IRT…

This article addresses the validity of teacher evaluation measures produced by the Tennessee Value Added Assessment System (TVAAS). The system analyzes student test score data and estimates the effects of individual teachers on score gains. These effects are used to construct teacher value-added measures of teaching effectiveness. We describe the…

Facilitating mental computation discussion comes with its own set of challenges for researchers and teachers. It is important to be able to help capture the students' ideas, before they disappear and seem like little more than moments of magic! In enabling children to learn how numbers work, the current emphasis on mental computation is driven by…

Calculators can be used in primary schools in a number of situations. They are most beneficial when working with large numbers, dealing with real data that leads to complex calculations, performing repetitive calculations, developing concepts, estimating and checking, problem solving, and looking for patterns and/or relationships. But what if the…

Teachers often encounter difficulty in teaching estimation of measurement to young children. The intention when teaching the typical "jelly bean jar" classroom activity is to help children develop estimation skills, but most children cannot conceptualise the difference between guessing and estimating. The fact is that many students view…

This article describes an activity that involves the use of simulation for decision-making. It is useful for demonstrating concepts in probability and statistics. (Contains 4 figures and 2 tables.)

The calculation of composite indicators and the derivation of respective rankings is a common method used to benchmark countries or regions. However, although the statistical robustness of these rankings is often criticised, they often still spark off heated political debate. Here, we assess the sensitivity of the province ranking published by the…

This article describes the Mathematics Investigation Center (MIC), a tool to help elementary teachers differentiate the curriculum for their gifted mathematics students. Using the same mathematical theme that the rest of the class is studying, the activities provide depth for the gifted students by shifting from a computation level to a problem…

This report identifies 13 instructional strategies for teaching adult numeracy skills that address issues of assessment, development of mathematical skills, and development of problem-solving skills. The rationale and suggestions regarding the following 13 instructional principles are described: address and evaluate attitudes and beliefs about…

The purpose of this game, intended for grades 7-9, is to enable students to have fun and enjoy mathematics while learning and reinforcing: (1) mathematical concepts and applications; (2) mathematical computations; (3) geometry; and (4) mathematics for daily living. A gameboard and 232 question/answer cards are provided. Rules for play are…

For decades, every chemical engineer has been asked to have a background in separations. The required separations course can, however, be uninspiring and superficial because understanding many separation processes involves conventional graphical methods and commercial process simulators. We utilize simple, user-­friendly mathematical software,…