Computer algebra methods based on results of commutative algebra like Groebner bases of ideals and elimination of variables make it possible to solve complex, elementary and non elementary problems of geometry, which are difficult to solve using a classical approach. Computer algebra methods permit the proof of geometric theorems, automatic…

We examined how much Korean high school education helps students to build up the competencies needed for their college education and the world of work. We surveyed 227 high school graduates. They particularly emphasized communication skills, a cooperative attitude, computer skills, making friends and maintaining friendships, adaptability,…

Already at a very young age, children experience the wide applicability and intrinsic simplicity of linear/proportional relations. In primary and secondary school mathematics education, moreover, extensive attention is paid to this type of relations. In the long run, students develop the misbelief that each relation can be quantified as…

This paper introduces a study aimed at ascertaining students' beliefs about mathematics and mathematical learning, as well as developing those beliefs and related variables by changing the classroom learning environment. Eighty-six fifth graders were involved, divided in two groups: one in the innovative learning environment (N=46) and the other…

The study analyses the effects of training primary school children in the use of a linguistic tool called "Exploratory Talk" (ET) on their capacity for argumentation. ET allows for reasoned confrontation and negotiation of points of view, making the reasoning visible in the talk. Eighty-eight Mexican children from the 5th and 6th grades…

The objects-first strategy to teaching programming has prevailed over the imperative-first and functional-first strategies during the last decade. However, the objects-first strategy has created added difficulties to both the teaching and learning of programming. In an attempt to confront these difficulties and support the objects-first strategy…

Background: The executive functions of inhibition, planning, flexible shifting of actions, and working memory are commonly reported to be impaired in neurodevelopmental disorders. Method: We compared these abilities in children (8?12 years) with high functioning autism (HFA, n = 17), attention deficit-hyperactivity disorder (ADHD, n = 21) and…

Motivating students to perform well on assessment tests is difficult when students know the results have no academic consequence. The present study evaluates the influence of assessment context (graded vs. non-graded) on the reliability of an assessment measure. Results indicate the graded condition produces higher reliability (r = 0.71) than the…

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…