Presents an investigation that focuses on estimation skills as children attempt to solve problems involving concepts of weight, volume, and counting money. (ASK)

The study examined the difference in performance of boys and girls in solving problems on the properties of a rectangle. The conceptual framework of the study was based on the idea that teaching the learners content in a familiar context tends to facilitate geometry learning. The data were collected using semi-structured interviews with the…

In the present study, I examine a modelling strategy as employed by a teacher in the context of an algebra lesson. The actions of this teacher suggest that a modelling approach will have a greater impact on enriching student learning if we do not lose sight of the need to manage associated cognitive loads that could either aid or hinder the…

Children build foundations for mathematical thinking in early play and exploration. During the preschool years, children enjoy exploring mathematical concepts--such as patterns, shape, spatial relationships, and measurement--leading them to spontaneously engage in mathematical thinking during play. Block play is one common example that engages…

This article describes the benefits and drawbacks of using Wolfram|Alpha as the platform for teaching calculus concepts in the lab setting. It is a result of our experiences designing and creating an entirely new set of labs using Wolfram|Alpha. We present the reasoning behind our transition from using a standard computer algebra system (CAS) to…

Can students build a house that is cost effective and strong enough to survive strong winds, heavy rains, and earthquakes? First graders in Ms. Peter's classroom worked like engineers to answer this question. They participated in a design challenge that required them to plan like engineers and build strong and cost-effective houses that would fit…

This study examines the specificity of information provided by structural assessment of knowledge (SAK). SAK is a technique which uses the Pathfinder scaling algorithm to transform ratings of concept relatedness into network representations (PFnets) of individuals' knowledge. Inferences about individuals' overall domain knowledge based on the…

We investigated the extent to which inhibition, updating, shifting, and mental-attentional capacity ("M"-capacity) contribute to children's ability to solve multiplication word problems. A total of 155 children in Grades 3-6 (8- to 13-year-olds) completed a set of multiplication word problems at two levels of difficulty: one-step and multiple-step…

This study was designed to investigate whether the implementation and integration of the use of the Explorer Calculator into the curriculum influenced students in grades three through six. The sample consisted of approximately 440 students who were assigned to the treatment group or the control group. Achievement scores from the Iowa Test of Basic…

This workbook was designed to be used as a study aid in any course covering the various techniques of indefinite integration. Many students are able to master each individual technique, but upon encountering an integral on an exam, they often have difficulties in determining which technique to use. By working through all of the exercices in this…

Provides a short list of integral triples for the design of problems employing unit fractions (so solutions will be positive integers). Also presents an algorithm whereby both primary and imprimitive sets of triples can be easily obtained and shows how to extend the algorithm to solve three-variate unit fraction equations. (JN)

Investigates how primary-level pupils can solve word problems more effectively using computational skills in small, cooperative groups. Points out six principles for successful cooperative groups through problem solving protocol analysis: (1) teach strategies; (2) rehearse techniques; (3) involve everyone; (4) cooperate to solve problems; (5) keep…

Described are the difficulties in translating word sentences between English and Algebra. Two classic sentences that typically produce student errors are presented with explanations that can be shared with the students on overcoming these translation difficulties. (MDH)

Examines the point of inflection in the curve determined by the hinge of a bifold door as it opens. Determines the equation of the branch function of the curve and calculates its point of inflection. (MDH)

In 1997, the Ontario government, like many other jurisdictions, undertook systemic reform of their elementary school mathematics programme, developing a new mathematics curriculum, report card, and province-wide assessment. The curricular reform embodied a new vision of mathematics learning and instruction that emphasized instruction using…