Deficiencies in mathematics achievement in the United States have spurred calls for reform in K-12 curricula and pedagogy. Based on contemporary learning theories, numerous curriculum programs have been developed that emphasize problem solving, critical thinking, mathematical connections, and mathematical communication. These innovations require…

Forty-one students in two third grade classes, including special education students, participated in an action research project conducted jointly by two university supervisors, three teachers, and three student teachers. The "Minute Math" project involved students in predicting and graphing their test scores on a weekly conventional timed test of…

In this paper, we analyze an investigative situation proposed to a class of 5th graders in a primary school. The situation is based on the following task: In a sale with group rates on a sliding scale, the students must find the lowest possible purchase price for a given number of tickets. A study of students' arguments made it possible to…

Two studies investigated children's metacognition about everyday reasoning, assessing how they distinguish reasoning from nonreasoning and "good" reasoning from "bad." In Study 1, 80 1st graders (6-7 years), 3rd graders (8-9 years), 5th graders (10-11 years), and adults (18+ years) evaluated scenarios where people (a) used reasoning, (b) solved…

The Invisible Wall Project analyzes problem-solving processes of children in Grades 3 and 4 and Grades 8 and 9. The central idea of the research is to use sets of tasks that are all unsolvable, which means they have a goal that cannot be reached. The unsolvability, however, is of a kind that can be understood even by younger children. In our case,…

The purpose of this study was to provide initial results on the development and validation of the Career Futures Inventory (CFI), a new 25-item measure of positive career planning attitudes. Items were originated using the rational method. Results from an item analysis of scale homogeneity and exploratory factor analysis in a sample of 690…

This article describes how recent trends in improving literacy outcomes in the early years of schooling have provided the opportunity for Camberwell Primary School to identify the "best practice" that promotes high levels of achievement in English literacy and transfer this learning and knowledge to the French literacy program. The linguistic…

InterMath participants spend time in workshops exploring technology-rich mathematical investigations and completing write-ups. These write-ups include a written explanation of their problem solving process, screen captures of files that they generated while completing the investigation and links to these files. This paper examines the use of…

This paper articulates a perspective on learning to discuss ways in which students develop personal sense and negotiate meaning in a middle school algebra context. Building on a sociocultural perspective that incorporates mental objects, learning is described as a mutually dependent process involving personal sense making and the public…

This paper reports a study of how students may connect the limiting process inherent in the derivative to the limit of the difference quotient (LDQ) when solving problems. The data was collected mainly through task-based interviews with five eleventh grade students. It was found that the students used various kinds of limiting processes and…

What does attention to feeling have to do with solving problems in mathematics? Can feeling be used to navigate a path to a solution? What is meant by a feeling anyway? To what kind of problem does this productive benefit refer? A study of 405 middle school students solving two novel mathematics problems found that individuals utilising a feeling…

This paper describes the design of a web-based learning module. The aim in the design was to operationalize the concepts of granularity, reusability, scalability, and interoperability as they relate to learning objects. The prototypical module was designed for contexts where identifying and solving ill-structured problems is relevant. The module…

Language planning is normally thought of in terms of large-scale, usually national planning, often undertaken by governments and meant to influence, if not change, ways of speaking or literacy practices within a society. It normally encompasses four aspects: status planning (about society), corpus planning (about language), language-in-education…

Research suggests that quality interventions, ambitious goals, and formative progress monitoring positively impact student achievement. This study evaluated 32 reading intervention cases, generated from problem-solving service delivery, for the inclusion of quality indices, goal ambitiousness, and student growth over time. Intervention quality was…

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…